----- Otter 3.3, August 2003 ----- The process was started by mccune on gyro.thornwood, Wed Aug 6 14:26:26 2003 The command was "../../bin/otter". The process ID is 5982. set(hyper_res). assign(max_weight,20). assign(max_proofs,-1). clear(print_kept). clear(back_sub). assign(max_mem,24000). assign(max_given,618). set(order_history). set(input_sos_first). weight_list(pick_and_purge). weight(P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))),2). weight(P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))),2). weight(P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))),2). weight(P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))),2). weight(P(i(i(x,y),i(i(z,x),i(i(y,u),i(z,u))))),2). weight(P(i(i(i(n(x),y),z),i(x,z))),2). weight(P(i(x,i(i(i(n(x),x),x),i(i(y,x),x)))),2). weight(P(i(i(x,i(i(n(y),y),y)),i(i(n(y),y),y))),2). weight(P(i(x,i(i(n(y),y),y))),2). weight(P(i(i(n(x),y),i(z,i(i(y,x),x)))),2). weight(P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))),2). weight(P(i(i(n(x),y),i(i(y,x),x))),2). weight(P(i(x,x)),2). weight(P(i(x,i(i(y,x),x))),2). weight(P(i(x,i(y,x))),2). weight(P(i(i(i(x,y),z),i(y,z))),2). weight(P(i(x,i(i(x,y),y))),2). weight(P(i(i(x,i(y,z)),i(y,i(x,z)))),2). weight(P(i(i(x,y),i(i(z,x),i(z,y)))),2). weight(P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))),2). weight(P(i(i(i(x,y),x),x)),2). weight(P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))),2). weight(P(i(i(i(x,y),z),i(i(z,x),x))),2). weight(P(i(i(i(x,y),y),i(i(y,x),x))),2). weight(P(i(i(i(i(x,y),y),z),i(i(i(y,u),x),z))),2). weight(P(i(i(i(x,y),z),i(i(x,z),z))),2). weight(P(i(i(x,i(x,y)),i(x,y))),2). weight(P(i(i(x,y),i(i(i(x,z),u),i(i(y,u),u)))),2). weight(P(i(i(i(x,y),z),i(i(x,u),i(i(u,z),z)))),2). weight(P(i(i(x,y),i(i(y,i(z,i(x,u))),i(z,i(x,u))))),2). weight(P(i(i(x,i(y,i(z,u))),i(i(z,x),i(y,i(z,u))))),2). weight(P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))),2). weight(P(i(n(x),i(x,y))),2). weight(P(i(i(i(x,y),z),i(n(x),z))),2). weight(P(i(i(x,n(x)),n(x))),2). weight(P(i(n(n(x)),x)),2). weight(P(i(x,n(n(x)))),2). weight(P(i(i(x,y),i(n(n(x)),y))),2). weight(P(i(i(i(n(n(x)),y),z),i(i(x,y),z))),2). weight(P(i(i(x,y),i(i(y,n(x)),n(x)))),2). weight(P(i(i(x,i(y,n(z))),i(i(z,y),i(x,n(z))))),2). weight(P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))),2). weight(P(i(i(x,y),i(n(y),n(x)))),2). weight(P(i(i(x,n(y)),i(y,n(x)))),2). weight(P(i(i(n(x),y),i(n(y),x))),2). weight(P(i(i(n(x),n(y)),i(y,x))),2). weight(P(i(i(i(n(x),y),z),i(i(n(y),x),z))),2). weight(P(i(i(x,i(y,z)),i(x,i(n(z),n(y))))),2). weight(P(i(i(x,i(y,n(z))),i(x,i(z,n(y))))),2). weight(P(i(i(n(x),y),i(i(x,y),y))),2). weight(P(i(i(x,y),i(i(n(x),y),y))),2). weight(P(i(i(x,y),i(i(x,n(y)),n(x)))),2). weight(P(i(i(i(i(x,y),y),z),i(i(n(x),y),z))),2). weight(P(i(i(n(x),y),i(i(x,z),i(i(z,y),y)))),2). weight(P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),z),u))),2). weight(P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))),2). weight(P(i(i(x,i(n(y),z)),i(x,i(i(u,z),i(i(y,u),z))))),2). weight(P(i(i(x,y),i(i(z,y),i(i(n(x),z),y)))),2). weight(P(i(i(n(n(x)),y),i(x,y))),2). weight(P(i(x,i(y,y))),2). weight(P(i(n(i(x,x)),y)),2). weight(P(i(i(n(x),n(i(y,y))),x)),2). weight(P(i(n(i(x,y)),x)),2). weight(P(i(n(i(x,y)),n(y))),2). weight(P(i(n(i(x,n(y))),y)),2). weight(P(i(x,i(n(y),n(i(x,y))))),2). weight(P(i(x,i(y,n(i(x,n(y)))))),2). weight(P(n(i(i(x,x),n(i(y,y))))),2). end_of_list. list(usable). 1 [] -P(i(x,y))| -P(x)|P(y). 2 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(p,q),i(n(q),n(p))))| -P(i(i(p,i(q,r)),i(q,i(p,r))))|$ANSWER(step_allFrege_18_35_39_40_46_21). 3 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(q,r),i(i(p,q),i(p,r))))| -P(i(p,i(n(p),q)))| -P(i(i(p,q),i(i(n(p),q),q)))| -P(i(i(p,i(p,q)),i(p,q)))|$ANSWER(step_allHilbert_18_21_22_3_54_30). 4 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(i(n(p),n(q)),i(q,p)))|$ANSWER(step_allBEH_Church_FL_18_35_49). 5 [] -P(i(i(i(p,q),r),i(q,r)))| -P(i(i(i(p,q),r),i(n(p),r)))| -P(i(i(n(p),r),i(i(q,r),i(i(p,q),r))))|$ANSWER(step_allLuka_x_19_37_59). 6 [] -P(i(i(i(p,q),r),i(q,r)))| -P(i(i(i(p,q),r),i(n(p),r)))| -P(i(i(s,i(n(p),r)),i(s,i(i(q,r),i(i(p,q),r)))))|$ANSWER(step_allWos_x_19_37_60). 7 [] -P(i(i(p,q),i(i(q,r),i(p,r))))| -P(i(i(n(p),p),p))| -P(i(p,i(n(p),q)))|$ANSWER(step_allLuka_1_2_3). 8 [] -P(i(p,p))| -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(i(p,q),p),p))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(p,q),i(n(q),n(p))))|$ANSWER(step_allScott_orig_16_18_21_24_35_39_40_46). 9 [] -P(i(p,p))| -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(i(p,q),p),p))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(n(p),n(q)),i(q,p)))|$ANSWER(step_allScott_orig0_16_18_21_24_35_39_40_49). end_of_list. list(sos). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). end_of_list. list(passive). 13 [] -P(i(i(i(i(q,r),i(p,r)),s),i(i(p,q),s)))|$ANS(neg_th_04). 14 [] -P(i(i(p,i(q,r)),i(i(s,q),i(p,i(s,r)))))|$ANS(neg_th_05). 15 [] -P(i(i(p,q),i(i(i(p,r),s),i(i(q,r),s))))|$ANS(neg_th_06). 16 [] -P(i(i(t,i(i(p,r),s)),i(i(p,q),i(t,i(i(q,r),s)))))|$ANS(neg_th_07). 17 [] -P(i(i(q,r),i(i(p,q),i(i(r,s),i(p,s)))))|$ANS(neg_th_08). 18 [] -P(i(i(i(n(p),q),r),i(p,r)))|$ANS(neg_th_09). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 20 [] -P(i(i(q,i(i(n(p),p),p)),i(i(n(p),p),p)))|$ANS(neg_th_11). 21 [] -P(i(t,i(i(n(p),p),p)))|$ANS(neg_th_12). 22 [] -P(i(i(n(p),q),i(t,i(i(q,p),p))))|$ANS(neg_th_13). 23 [] -P(i(i(i(t,i(i(q,p),p)),r),i(i(n(p),q),r)))|$ANS(neg_th_14). 24 [] -P(i(i(n(p),q),i(i(q,p),p)))|$ANS(neg_th_15). 25 [] -P(i(p,p))|$ANS(neg_th_16). 26 [] -P(i(p,i(i(q,p),p)))|$ANS(neg_th_17). 27 [] -P(i(q,i(p,q)))|$ANS(neg_th_18). 28 [] -P(i(i(i(p,q),r),i(q,r)))|$ANS(neg_th_19). 29 [] -P(i(p,i(i(p,q),q)))|$ANS(neg_th_20). 30 [] -P(i(i(p,i(q,r)),i(q,i(p,r))))|$ANS(neg_th_21). 31 [] -P(i(i(q,r),i(i(p,q),i(p,r))))|$ANS(neg_th_22). 32 [] -P(i(i(i(q,i(p,r)),s),i(i(p,i(q,r)),s)))|$ANS(neg_th_23). 33 [] -P(i(i(i(p,q),p),p))|$ANS(neg_th_24). 34 [] -P(i(i(i(p,r),s),i(i(p,q),i(i(q,r),s))))|$ANS(neg_th_25). 35 [] -P(i(i(i(p,q),r),i(i(r,p),p)))|$ANS(neg_th_26). 36 [] -P(i(i(i(p,q),q),i(i(q,p),p)))|$ANS(neg_th_27). 37 [] -P(i(i(i(i(r,p),p),s),i(i(i(p,q),r),s)))|$ANS(neg_th_28). 38 [] -P(i(i(i(p,q),r),i(i(p,r),r)))|$ANS(neg_th_29). 39 [] -P(i(i(p,i(p,q)),i(p,q)))|$ANS(neg_th_30). 40 [] -P(i(i(p,s),i(i(i(p,q),r),i(i(s,r),r))))|$ANS(neg_th_31). 41 [] -P(i(i(i(p,q),r),i(i(p,s),i(i(s,r),r))))|$ANS(neg_th_32). 42 [] -P(i(i(p,s),i(i(s,i(q,i(p,r))),i(q,i(p,r)))))|$ANS(neg_th_33). 43 [] -P(i(i(s,i(q,i(p,r))),i(i(p,s),i(q,i(p,r)))))|$ANS(neg_th_34). 44 [] -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))|$ANS(neg_th_35). 45 [] -P(i(n(p),i(p,q)))|$ANS(neg_th_36). 46 [] -P(i(i(i(p,q),r),i(n(p),r)))|$ANS(neg_th_37). 47 [] -P(i(i(p,n(p)),n(p)))|$ANS(neg_th_38). 48 [] -P(i(n(n(p)),p))|$ANS(neg_th_39). 49 [] -P(i(p,n(n(p))))|$ANS(neg_th_40). 50 [] -P(i(i(p,q),i(n(n(p)),q)))|$ANS(neg_th_41). 51 [] -P(i(i(i(n(n(p)),q),r),i(i(p,q),r)))|$ANS(neg_th_42). 52 [] -P(i(i(p,q),i(i(q,n(p)),n(p))))|$ANS(neg_th_43). 53 [] -P(i(i(s,i(q,n(p))),i(i(p,q),i(s,n(p)))))|$ANS(neg_th_44). 54 [] -P(i(i(s,i(q,p)),i(i(n(p),q),i(s,p))))|$ANS(neg_th_45). 55 [] -P(i(i(p,q),i(n(q),n(p))))|$ANS(neg_th_46). 56 [] -P(i(i(p,n(q)),i(q,n(p))))|$ANS(neg_th_47). 57 [] -P(i(i(n(p),q),i(n(q),p)))|$ANS(neg_th_48). 58 [] -P(i(i(n(p),n(q)),i(q,p)))|$ANS(neg_th_49). 59 [] -P(i(i(i(n(q),p),r),i(i(n(p),q),r)))|$ANS(neg_th_50). 60 [] -P(i(i(p,i(q,r)),i(p,i(n(r),n(q)))))|$ANS(neg_th_51). 61 [] -P(i(i(p,i(q,n(r))),i(p,i(r,n(q)))))|$ANS(neg_th_52). 62 [] -P(i(i(n(p),q),i(i(p,q),q)))|$ANS(neg_th_53). 63 [] -P(i(i(p,q),i(i(n(p),q),q)))|$ANS(neg_th_54). 64 [] -P(i(i(p,q),i(i(p,n(q)),n(p))))|$ANS(neg_th_55). 65 [] -P(i(i(i(i(p,q),q),r),i(i(n(p),q),r)))|$ANS(neg_th_56). 66 [] -P(i(i(n(p),r),i(i(p,q),i(i(q,r),r))))|$ANS(neg_th_57). 67 [] -P(i(i(i(i(p,q),i(i(q,r),r)),s),i(i(n(p),r),s)))|$ANS(neg_th_58). 68 [] -P(i(i(n(p),r),i(i(q,r),i(i(p,q),r))))|$ANS(neg_th_59). 69 [] -P(i(i(s,i(n(p),r)),i(s,i(i(q,r),i(i(p,q),r)))))|$ANS(neg_th_60). 70 [] -P(i(i(p,r),i(i(q,r),i(i(n(p),q),r))))|$ANS(neg_th_61). 71 [] -P(i(i(n(n(p)),q),i(p,q)))|$ANS(neg_th_62). 72 [] -P(i(q,i(p,p)))|$ANS(neg_th_63). 73 [] -P(i(n(i(p,p)),q))|$ANS(neg_th_64). 74 [] -P(i(i(n(q),n(i(p,p))),q))|$ANS(neg_th_65). 75 [] -P(i(n(i(p,q)),p))|$ANS(neg_th_66). 76 [] -P(i(n(i(p,q)),n(q)))|$ANS(neg_th_67). 77 [] -P(i(n(i(p,n(q))),q))|$ANS(neg_th_68). 78 [] -P(i(p,i(n(q),n(i(p,q)))))|$ANS(neg_th_69). 79 [] -P(i(p,i(q,n(i(p,n(q))))))|$ANS(neg_th_70). 80 [] -P(n(i(i(p,p),n(i(q,q)))))|$ANS(neg_th_71). end_of_list. ======= end of input processing ======= =========== start of search =========== given clause #1: (wt=-2147483647) 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). -------- PROOF -------- 82 [binary,81.1,13.1] $ANS(neg_th_04). ----> UNIT CONFLICT at 0.00 sec ----> 82 [binary,81.1,13.1] $ANS(neg_th_04). Length of proof is 1. Level of proof is 1. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 13 [] -P(i(i(i(i(q,r),i(p,r)),s),i(i(p,q),s)))|$ANS(neg_th_04). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 82 [binary,81.1,13.1] $ANS(neg_th_04). ------------ end of proof ------------- given clause #2: (wt=-2147483647) 11 [] P(i(i(n(x),x),x)). given clause #3: (wt=-2147483647) 12 [] P(i(x,i(n(x),y))). -------- PROOF -------- 84 [hyper,7,10,11,12] $ANSWER(step_allLuka_1_2_3). -----> EMPTY CLAUSE at 0.00 sec ----> 84 [hyper,7,10,11,12] $ANSWER(step_allLuka_1_2_3). Length of proof is 0. Level of proof is 0. ---------------- PROOF ---------------- 7 [] -P(i(i(p,q),i(i(q,r),i(p,r))))| -P(i(i(n(p),p),p))| -P(i(p,i(n(p),q)))|$ANSWER(step_allLuka_1_2_3). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 84 [hyper,7,10,11,12] $ANSWER(step_allLuka_1_2_3). ------------ end of proof ------------- -------- PROOF -------- 87 [binary,86.1,18.1] $ANS(neg_th_09). ----> UNIT CONFLICT at 0.00 sec ----> 87 [binary,86.1,18.1] $ANS(neg_th_09). Length of proof is 1. Level of proof is 1. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 12 [] P(i(x,i(n(x),y))). 18 [] -P(i(i(i(n(p),q),r),i(p,r)))|$ANS(neg_th_09). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 87 [binary,86.1,18.1] $ANS(neg_th_09). ------------ end of proof ------------- given clause #4: (wt=2) 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). -------- PROOF -------- 91 [binary,90.1,14.1] $ANS(neg_th_05). ----> UNIT CONFLICT at 0.00 sec ----> 91 [binary,90.1,14.1] $ANS(neg_th_05). Length of proof is 2. Level of proof is 2. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 14 [] -P(i(i(p,i(q,r)),i(i(s,q),i(p,i(s,r)))))|$ANS(neg_th_05). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 91 [binary,90.1,14.1] $ANS(neg_th_05). ------------ end of proof ------------- -------- PROOF -------- 96 [binary,95.1,15.1] $ANS(neg_th_06). ----> UNIT CONFLICT at 0.00 sec ----> 96 [binary,95.1,15.1] $ANS(neg_th_06). Length of proof is 2. Level of proof is 2. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 15 [] -P(i(i(p,q),i(i(i(p,r),s),i(i(q,r),s))))|$ANS(neg_th_06). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 96 [binary,95.1,15.1] $ANS(neg_th_06). ------------ end of proof ------------- given clause #5: (wt=2) 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). given clause #6: (wt=2) 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). -------- PROOF -------- 111 [binary,110.1,25.1] $ANS(neg_th_16). ----> UNIT CONFLICT at 0.00 sec ----> 111 [binary,110.1,25.1] $ANS(neg_th_16). Length of proof is 2. Level of proof is 2. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 25 [] -P(i(p,p))|$ANS(neg_th_16). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 110 [hyper,1,86,11] P(i(x,x)). 111 [binary,110.1,25.1] $ANS(neg_th_16). ------------ end of proof ------------- given clause #7: (wt=2) 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). -------- PROOF -------- 116 [binary,115.1,17.1] $ANS(neg_th_08). ----> UNIT CONFLICT at 0.00 sec ----> 116 [binary,115.1,17.1] $ANS(neg_th_08). Length of proof is 3. Level of proof is 3. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 17 [] -P(i(i(q,r),i(i(p,q),i(i(r,s),i(p,s)))))|$ANS(neg_th_08). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 115 [hyper,1,81,90] P(i(i(x,y),i(i(z,x),i(i(y,u),i(z,u))))). 116 [binary,115.1,17.1] $ANS(neg_th_08). ------------ end of proof ------------- given clause #8: (wt=2) 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). -------- PROOF -------- 123 [binary,122.1,16.1] $ANS(neg_th_07). ----> UNIT CONFLICT at 0.00 sec ----> 123 [binary,122.1,16.1] $ANS(neg_th_07). Length of proof is 4. Level of proof is 3. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 16 [] -P(i(i(t,i(i(p,r),s)),i(i(p,q),i(t,i(i(q,r),s)))))|$ANS(neg_th_07). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 123 [binary,122.1,16.1] $ANS(neg_th_07). ------------ end of proof ------------- -------- PROOF -------- 125 [binary,124.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 0.00 sec ----> 125 [binary,124.1,19.1] $ANS(neg_th_10). Length of proof is 4. Level of proof is 3. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 124 [hyper,1,86,95] P(i(x,i(i(i(n(x),y),z),i(i(u,y),z)))). 125 [binary,124.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- given clause #9: (wt=2) 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). given clause #10: (wt=2) 110 [hyper,1,86,11] P(i(x,x)). -------- PROOF -------- 137 [binary,136.1,73.1] $ANS(neg_th_64). ----> UNIT CONFLICT at 0.00 sec ----> 137 [binary,136.1,73.1] $ANS(neg_th_64). Length of proof is 3. Level of proof is 3. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 73 [] -P(i(n(i(p,p)),q))|$ANS(neg_th_64). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 110 [hyper,1,86,11] P(i(x,x)). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 137 [binary,136.1,73.1] $ANS(neg_th_64). ------------ end of proof ------------- given clause #11: (wt=2) 115 [hyper,1,81,90] P(i(i(x,y),i(i(z,x),i(i(y,u),i(z,u))))). given clause #12: (wt=2) 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). given clause #13: (wt=2) 124 [hyper,1,86,95] P(i(x,i(i(i(n(x),y),z),i(i(u,y),z)))). given clause #14: (wt=2) 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). given clause #15: (wt=2) 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). given clause #16: (wt=2) 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). given clause #17: (wt=2) 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). given clause #18: (wt=2) 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). given clause #19: (wt=2) 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). given clause #20: (wt=10) 85 [hyper,1,12,12] P(i(n(i(x,i(n(x),y))),z)). given clause #21: (wt=10) 88 [hyper,1,12,11] P(i(n(i(i(n(x),x),x)),y)). given clause #22: (wt=10) 109 [hyper,1,86,12] P(i(x,i(n(i(n(x),y)),z))). given clause #23: (wt=10) 175 [hyper,1,12,136] P(i(n(i(n(i(x,x)),y)),z)). given clause #24: (wt=11) 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). given clause #25: (wt=9) 248 [hyper,1,86,105] P(i(x,i(y,i(n(x),z)))). given clause #26: (wt=9) 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). given clause #27: (wt=11) 108 [hyper,1,86,83] P(i(x,i(i(n(n(x)),n(x)),y))). given clause #28: (wt=11) 112 [hyper,1,86,10] P(i(x,i(i(y,z),i(n(x),z)))). given clause #29: (wt=11) 176 [hyper,1,10,136] P(i(i(x,y),i(n(i(z,z)),y))). given clause #30: (wt=12) 180 [hyper,1,86,151] P(i(x,i(i(x,y),i(i(z,x),y)))). given clause #31: (wt=12) 242 [hyper,1,135,105] P(i(i(n(x),x),i(y,i(n(x),z)))). given clause #32: (wt=12) 252 [hyper,1,105,175] P(i(x,i(n(i(n(i(y,y)),z)),u))). given clause #33: (wt=12) 254 [hyper,1,105,88] P(i(x,i(n(i(i(n(y),y),y)),z))). given clause #34: (wt=12) 255 [hyper,1,105,85] P(i(x,i(n(i(y,i(n(y),z))),u))). given clause #35: (wt=12) 267 [hyper,1,86,248] P(i(x,i(y,i(n(i(n(x),z)),u)))). given clause #36: (wt=12) 269 [hyper,1,12,248] P(i(n(i(x,i(y,i(n(x),z)))),u)). given clause #37: (wt=12) 291 [hyper,1,12,253] P(i(n(i(x,i(n(i(y,y)),z))),u)). given clause #38: (wt=13) 102 [hyper,1,83,11] P(i(i(n(i(n(x),x)),i(n(x),x)),x)). given clause #39: (wt=13) 114 [hyper,1,86,90] P(i(x,i(i(y,z),i(n(x),i(y,u))))). given clause #40: (wt=13) 134 [hyper,1,12,101] P(i(n(i(i(n(x),x),i(n(x),y))),z)). given clause #41: (wt=13) 168 [hyper,1,135,12] P(i(i(n(x),x),i(n(i(n(x),y)),z))). given clause #42: (wt=13) 173 [hyper,1,90,136] P(i(i(x,y),i(n(i(z,z)),i(x,u)))). given clause #43: (wt=13) 174 [hyper,1,83,136] P(i(i(n(n(i(x,x))),n(i(x,x))),y)). given clause #44: (wt=13) 208 [hyper,1,12,85] P(i(n(i(n(i(x,i(n(x),y))),z)),u)). given clause #45: (wt=13) 215 [hyper,1,12,88] P(i(n(i(n(i(i(n(x),x),x)),y)),z)). given clause #46: (wt=13) 223 [hyper,1,86,109] P(i(x,i(n(i(n(i(n(x),y)),z)),u))). given clause #47: (wt=13) 225 [hyper,1,12,109] P(i(n(i(x,i(n(i(n(x),y)),z))),u)). given clause #48: (wt=13) 227 [hyper,1,109,136] P(i(n(i(n(i(n(i(x,x)),y)),z)),u)). given clause #49: (wt=13) 266 [hyper,1,90,248] P(i(i(x,y),i(z,i(x,i(n(z),u))))). given clause #50: (wt=13) 270 [hyper,1,10,248] P(i(i(i(x,i(n(y),z)),u),i(y,u))). -------- PROOF -------- 437 [binary,436.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 0.05 sec ----> 437 [binary,436.1,19.1] $ANS(neg_th_10). Length of proof is 6. Level of proof is 5. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 248 [hyper,1,86,105] P(i(x,i(y,i(n(x),z)))). 270 [hyper,1,10,248] P(i(i(i(x,i(n(y),z)),u),i(y,u))). 436 [hyper,1,270,10] P(i(x,i(i(i(n(x),y),z),i(u,z)))). 437 [binary,436.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- given clause #51: (wt=11) 426 [hyper,1,270,266] P(i(x,i(y,i(z,i(n(y),u))))). given clause #52: (wt=12) 435 [hyper,1,270,12] P(i(x,i(n(i(y,i(n(x),z))),u))). given clause #53: (wt=13) 290 [hyper,1,90,253] P(i(i(x,n(i(y,y))),i(z,i(x,u)))). given clause #54: (wt=13) 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). -------- PROOF -------- 504 [binary,503.1,72.1] $ANS(neg_th_63). ----> UNIT CONFLICT at 0.06 sec ----> 504 [binary,503.1,72.1] $ANS(neg_th_63). Length of proof is 8. Level of proof is 6. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 72 [] -P(i(q,i(p,p)))|$ANS(neg_th_63). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 504 [binary,503.1,72.1] $ANS(neg_th_63). ------------ end of proof ------------- given clause #55: (wt=2) 503 [hyper,1,292,11] P(i(x,i(y,y))). given clause #56: (wt=2) 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). -------- PROOF -------- 527 [binary,526.1,22.1] $ANS(neg_th_13). ----> UNIT CONFLICT at 0.07 sec ----> 527 [binary,526.1,22.1] $ANS(neg_th_13). Length of proof is 16. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 22 [] -P(i(i(n(p),q),i(t,i(i(q,p),p))))|$ANS(neg_th_13). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 527 [binary,526.1,22.1] $ANS(neg_th_13). ------------ end of proof ------------- -------- PROOF -------- 542 [binary,541.1,21.1] $ANS(neg_th_12). ----> UNIT CONFLICT at 0.07 sec ----> 542 [binary,541.1,21.1] $ANS(neg_th_12). Length of proof is 11. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 21 [] -P(i(t,i(i(n(p),p),p)))|$ANS(neg_th_12). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 542 [binary,541.1,21.1] $ANS(neg_th_12). ------------ end of proof ------------- -------- PROOF -------- 543 [binary,541.1,20.1] $ANS(neg_th_11). ----> UNIT CONFLICT at 0.07 sec ----> 543 [binary,541.1,20.1] $ANS(neg_th_11). Length of proof is 11. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 20 [] -P(i(i(q,i(i(n(p),p),p)),i(i(n(p),p),p)))|$ANS(neg_th_11). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 543 [binary,541.1,20.1] $ANS(neg_th_11). ------------ end of proof ------------- given clause #57: (wt=2) 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). -------- PROOF -------- 551 [binary,550.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 0.07 sec ----> 551 [binary,550.1,19.1] $ANS(neg_th_10). Length of proof is 20. Level of proof is 9. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 550 [hyper,1,86,525] P(i(x,i(y,i(i(z,x),x)))). 551 [binary,550.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- given clause #58: (wt=2) 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). -------- PROOF -------- 566 [binary,565.1,23.1] $ANS(neg_th_14). ----> UNIT CONFLICT at 0.07 sec ----> 566 [binary,565.1,23.1] $ANS(neg_th_14). Length of proof is 17. Level of proof is 9. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 23 [] -P(i(i(i(t,i(i(q,p),p)),r),i(i(n(p),q),r)))|$ANS(neg_th_14). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 566 [binary,565.1,23.1] $ANS(neg_th_14). ------------ end of proof ------------- given clause #59: (wt=2) 528 [hyper,1,122,519] P(i(i(x,y),i(i(i(z,z),u),i(i(y,v),u)))). given clause #60: (wt=2) 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). given clause #61: (wt=2) 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). given clause #62: (wt=2) 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). -------- PROOF -------- 627 [binary,626.1,24.1] $ANS(neg_th_15). ----> UNIT CONFLICT at 0.09 sec ----> 627 [binary,626.1,24.1] $ANS(neg_th_15). Length of proof is 18. Level of proof is 10. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 24 [] -P(i(i(n(p),q),i(i(q,p),p)))|$ANS(neg_th_15). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 627 [binary,626.1,24.1] $ANS(neg_th_15). ------------ end of proof ------------- given clause #63: (wt=2) 584 [hyper,1,90,528] P(i(i(x,i(i(y,y),z)),i(i(u,v),i(x,i(i(v,w),z))))). given clause #64: (wt=2) 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). -------- PROOF -------- 650 [binary,649.1,26.1] $ANS(neg_th_17). ----> UNIT CONFLICT at 0.09 sec ----> 650 [binary,649.1,26.1] $ANS(neg_th_17). Length of proof is 22. Level of proof is 11. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 26 [] -P(i(p,i(i(q,p),p)))|$ANS(neg_th_17). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 650 [binary,649.1,26.1] $ANS(neg_th_17). ------------ end of proof ------------- given clause #65: (wt=2) 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). -------- PROOF -------- 666 [binary,665.1,54.1] $ANS(neg_th_45). ----> UNIT CONFLICT at 0.10 sec ----> 666 [binary,665.1,54.1] $ANS(neg_th_45). Length of proof is 19. Level of proof is 11. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 54 [] -P(i(i(s,i(q,p)),i(i(n(p),q),i(s,p))))|$ANS(neg_th_45). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 666 [binary,665.1,54.1] $ANS(neg_th_45). ------------ end of proof ------------- given clause #66: (wt=2) 639 [hyper,1,584,10] P(i(i(x,y),i(i(z,u),i(i(y,v),i(z,u))))). given clause #67: (wt=2) 648 [hyper,1,90,612] P(i(i(x,i(y,z)),i(i(n(z),z),i(x,z)))). given clause #68: (wt=2) 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). given clause #69: (wt=2) 653 [hyper,1,10,612] P(i(i(i(i(x,y),y),z),i(i(n(y),y),z))). given clause #70: (wt=2) 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). -------- PROOF -------- 764 [binary,763.1,58.1] $ANS(neg_th_49). ----> UNIT CONFLICT at 0.11 sec ----> 764 [binary,763.1,58.1] $ANS(neg_th_49). Length of proof is 20. Level of proof is 12. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 58 [] -P(i(i(n(p),n(q)),i(q,p)))|$ANS(neg_th_49). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 764 [binary,763.1,58.1] $ANS(neg_th_49). ------------ end of proof ------------- given clause #71: (wt=2) 669 [hyper,1,10,626] P(i(i(i(i(x,y),y),z),i(i(n(y),x),z))). given clause #72: (wt=2) 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). given clause #73: (wt=2) 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). -------- PROOF -------- 809 [binary,808.1,27.1] $ANS(neg_th_18). ----> UNIT CONFLICT at 0.12 sec ----> 809 [binary,808.1,27.1] $ANS(neg_th_18). Length of proof is 25. Level of proof is 13. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 27 [] -P(i(q,i(p,q)))|$ANS(neg_th_18). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 809 [binary,808.1,27.1] $ANS(neg_th_18). ------------ end of proof ------------- -------- PROOF -------- 810 [binary,808.1,26.1] $ANS(neg_th_17). ----> UNIT CONFLICT at 0.12 sec ----> 810 [binary,808.1,26.1] $ANS(neg_th_17). Length of proof is 25. Level of proof is 13. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 26 [] -P(i(p,i(i(q,p),p)))|$ANS(neg_th_17). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 810 [binary,808.1,26.1] $ANS(neg_th_17). ------------ end of proof ------------- given clause #74: (wt=2) 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). given clause #75: (wt=2) 805 [hyper,1,10,716] P(i(i(i(x,i(y,x)),z),i(i(y,i(u,x)),z))). given clause #76: (wt=2) 807 [hyper,1,716,626] P(i(x,i(i(n(x),y),x))). given clause #77: (wt=2) 808 [hyper,1,716,541] P(i(x,i(y,x))). -------- PROOF -------- 882 [binary,881.1,28.1] $ANS(neg_th_19). ----> UNIT CONFLICT at 0.13 sec ----> 882 [binary,881.1,28.1] $ANS(neg_th_19). Length of proof is 26. Level of proof is 14. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 28 [] -P(i(i(i(p,q),r),i(q,r)))|$ANS(neg_th_19). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 882 [binary,881.1,28.1] $ANS(neg_th_19). ------------ end of proof ------------- given clause #78: (wt=2) 844 [hyper,1,805,90] P(i(i(x,i(y,z)),i(i(u,x),i(z,i(u,z))))). given clause #79: (wt=2) 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). -------- PROOF -------- 937 [binary,936.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 0.14 sec ----> 937 [binary,936.1,19.1] $ANS(neg_th_10). Length of proof is 27. Level of proof is 15. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 936 [hyper,1,881,808] P(i(x,i(y,i(z,x)))). 937 [binary,936.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- -------- PROOF -------- 939 [binary,938.1,45.1] $ANS(neg_th_36). ----> UNIT CONFLICT at 0.14 sec ----> 939 [binary,938.1,45.1] $ANS(neg_th_36). Length of proof is 33. Level of proof is 15. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 45 [] -P(i(n(p),i(p,q)))|$ANS(neg_th_36). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 939 [binary,938.1,45.1] $ANS(neg_th_36). ------------ end of proof ------------- -------- PROOF -------- 942 [binary,941.1,29.1] $ANS(neg_th_20). ----> UNIT CONFLICT at 0.14 sec ----> 942 [binary,941.1,29.1] $ANS(neg_th_20). Length of proof is 31. Level of proof is 15. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 29 [] -P(i(p,i(i(p,q),q)))|$ANS(neg_th_20). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 942 [binary,941.1,29.1] $ANS(neg_th_20). ------------ end of proof ------------- given clause #80: (wt=2) 938 [hyper,1,881,763] P(i(n(x),i(x,y))). -------- PROOF -------- 962 [binary,961.1,57.1] $ANS(neg_th_48). ----> UNIT CONFLICT at 0.15 sec ----> 962 [binary,961.1,57.1] $ANS(neg_th_48). Length of proof is 34. Level of proof is 16. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 57 [] -P(i(i(n(p),q),i(n(q),p)))|$ANS(neg_th_48). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 962 [binary,961.1,57.1] $ANS(neg_th_48). ------------ end of proof ------------- -------- PROOF -------- 964 [binary,963.1,33.1] $ANS(neg_th_24). ----> UNIT CONFLICT at 0.15 sec ----> 964 [binary,963.1,33.1] $ANS(neg_th_24). Length of proof is 34. Level of proof is 16. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 33 [] -P(i(i(i(p,q),p),p))|$ANS(neg_th_24). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 964 [binary,963.1,33.1] $ANS(neg_th_24). ------------ end of proof ------------- -------- PROOF -------- 982 [binary,981.1,46.1] $ANS(neg_th_37). ----> UNIT CONFLICT at 0.15 sec ----> 982 [binary,981.1,46.1] $ANS(neg_th_37). Length of proof is 34. Level of proof is 16. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 46 [] -P(i(i(i(p,q),r),i(n(p),r)))|$ANS(neg_th_37). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 981 [hyper,1,10,938] P(i(i(i(x,y),z),i(n(x),z))). 982 [binary,981.1,46.1] $ANS(neg_th_37). ------------ end of proof ------------- given clause #81: (wt=2) 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). -------- PROOF -------- 1007 [binary,1006.1,30.1] $ANS(neg_th_21). ----> UNIT CONFLICT at 0.15 sec ----> 1007 [binary,1006.1,30.1] $ANS(neg_th_21). Length of proof is 32. Level of proof is 16. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 30 [] -P(i(i(p,i(q,r)),i(q,i(p,r))))|$ANS(neg_th_21). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1007 [binary,1006.1,30.1] $ANS(neg_th_21). ------------ end of proof ------------- given clause #82: (wt=2) 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). -------- PROOF -------- 1076 [binary,1075.1,48.1] $ANS(neg_th_39). ----> UNIT CONFLICT at 0.16 sec ----> 1076 [binary,1075.1,48.1] $ANS(neg_th_39). Length of proof is 36. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 48 [] -P(i(n(n(p)),p))|$ANS(neg_th_39). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1076 [binary,1075.1,48.1] $ANS(neg_th_39). ------------ end of proof ------------- -------- PROOF -------- 1090 [binary,1089.1,59.1] $ANS(neg_th_50). ----> UNIT CONFLICT at 0.16 sec ----> 1090 [binary,1089.1,59.1] $ANS(neg_th_50). Length of proof is 35. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 59 [] -P(i(i(i(n(q),p),r),i(i(n(p),q),r)))|$ANS(neg_th_50). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1090 [binary,1089.1,59.1] $ANS(neg_th_50). ------------ end of proof ------------- -------- PROOF -------- 1093 [binary,1092.1,75.1] $ANS(neg_th_66). ----> UNIT CONFLICT at 0.16 sec ----> 1093 [binary,1092.1,75.1] $ANS(neg_th_66). Length of proof is 35. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 75 [] -P(i(n(i(p,q)),p))|$ANS(neg_th_66). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1093 [binary,1092.1,75.1] $ANS(neg_th_66). ------------ end of proof ------------- -------- PROOF -------- 1095 [binary,1094.1,77.1] $ANS(neg_th_68). ----> UNIT CONFLICT at 0.16 sec ----> 1095 [binary,1094.1,77.1] $ANS(neg_th_68). Length of proof is 35. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 77 [] -P(i(n(i(p,n(q))),q))|$ANS(neg_th_68). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1094 [hyper,1,961,808] P(i(n(i(x,n(y))),y)). 1095 [binary,1094.1,77.1] $ANS(neg_th_68). ------------ end of proof ------------- given clause #83: (wt=2) 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). -------- PROOF -------- 1120 [binary,1119.1,39.1] $ANS(neg_th_30). ----> UNIT CONFLICT at 0.17 sec ----> 1120 [binary,1119.1,39.1] $ANS(neg_th_30). Length of proof is 35. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 39 [] -P(i(i(p,i(p,q)),i(p,q)))|$ANS(neg_th_30). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1119 [hyper,1,81,963] P(i(i(x,i(x,y)),i(x,y))). 1120 [binary,1119.1,39.1] $ANS(neg_th_30). ------------ end of proof ------------- given clause #84: (wt=2) 981 [hyper,1,10,938] P(i(i(i(x,y),z),i(n(x),z))). given clause #85: (wt=2) 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). -------- PROOF -------- 1193 [binary,1192.1,32.1] $ANS(neg_th_23). ----> UNIT CONFLICT at 0.18 sec ----> 1193 [binary,1192.1,32.1] $ANS(neg_th_23). Length of proof is 33. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 32 [] -P(i(i(i(q,i(p,r)),s),i(i(p,i(q,r)),s)))|$ANS(neg_th_23). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1193 [binary,1192.1,32.1] $ANS(neg_th_23). ------------ end of proof ------------- -------- PROOF -------- 1213 [binary,1212.1,34.1] $ANS(neg_th_25). ----> UNIT CONFLICT at 0.18 sec ----> 1213 [binary,1212.1,34.1] $ANS(neg_th_25). Length of proof is 33. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 34 [] -P(i(i(i(p,r),s),i(i(p,q),i(i(q,r),s))))|$ANS(neg_th_25). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1213 [binary,1212.1,34.1] $ANS(neg_th_25). ------------ end of proof ------------- -------- PROOF -------- 1217 [binary,1216.1,31.1] $ANS(neg_th_22). ----> UNIT CONFLICT at 0.18 sec ----> 1217 [binary,1216.1,31.1] $ANS(neg_th_22). Length of proof is 33. Level of proof is 17. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 31 [] -P(i(i(q,r),i(i(p,q),i(p,r))))|$ANS(neg_th_22). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1217 [binary,1216.1,31.1] $ANS(neg_th_22). ------------ end of proof ------------- given clause #86: (wt=2) 1008 [hyper,1,83,941] P(i(i(n(x),x),i(i(x,y),y))). given clause #87: (wt=2) 1075 [hyper,1,671,961] P(i(n(n(x)),x)). -------- PROOF -------- 1237 [binary,1236.1,49.1] $ANS(neg_th_40). ----> UNIT CONFLICT at 0.19 sec ----> 1237 [binary,1236.1,49.1] $ANS(neg_th_40). Length of proof is 37. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 49 [] -P(i(p,n(n(p))))|$ANS(neg_th_40). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1236 [hyper,1,763,1075] P(i(x,n(n(x)))). 1237 [binary,1236.1,49.1] $ANS(neg_th_40). ------------ end of proof ------------- -------- PROOF -------- 1240 [binary,1239.1,47.1] $ANS(neg_th_38). ----> UNIT CONFLICT at 0.19 sec ----> 1240 [binary,1239.1,47.1] $ANS(neg_th_38). Length of proof is 37. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 47 [] -P(i(i(p,n(p)),n(p)))|$ANS(neg_th_38). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1239 [hyper,1,626,1075] P(i(i(x,n(x)),n(x))). 1240 [binary,1239.1,47.1] $ANS(neg_th_38). ------------ end of proof ------------- -------- PROOF -------- 1257 [binary,1256.1,51.1] $ANS(neg_th_42). ----> UNIT CONFLICT at 0.19 sec ----> 1257 [binary,1256.1,51.1] $ANS(neg_th_42). Length of proof is 37. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 51 [] -P(i(i(i(n(n(p)),q),r),i(i(p,q),r)))|$ANS(neg_th_42). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1257 [binary,1256.1,51.1] $ANS(neg_th_42). ------------ end of proof ------------- -------- PROOF -------- 1262 [binary,1261.1,50.1] $ANS(neg_th_41). ----> UNIT CONFLICT at 0.19 sec ----> 1262 [binary,1261.1,50.1] $ANS(neg_th_41). Length of proof is 37. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 50 [] -P(i(i(p,q),i(n(n(p)),q)))|$ANS(neg_th_41). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1261 [hyper,1,10,1075] P(i(i(x,y),i(n(n(x)),y))). 1262 [binary,1261.1,50.1] $ANS(neg_th_41). ------------ end of proof ------------- given clause #88: (wt=2) 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). -------- PROOF -------- 1278 [binary,1277.1,71.1] $ANS(neg_th_62). ----> UNIT CONFLICT at 0.19 sec ----> 1278 [binary,1277.1,71.1] $ANS(neg_th_62). Length of proof is 36. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 71 [] -P(i(i(n(n(p)),q),i(p,q)))|$ANS(neg_th_62). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1277 [hyper,1,1089,763] P(i(i(n(n(x)),y),i(x,y))). 1278 [binary,1277.1,71.1] $ANS(neg_th_62). ------------ end of proof ------------- -------- PROOF -------- 1281 [binary,1280.1,62.1] $ANS(neg_th_53). ----> UNIT CONFLICT at 0.19 sec ----> 1281 [binary,1280.1,62.1] $ANS(neg_th_53). Length of proof is 36. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 62 [] -P(i(i(n(p),q),i(i(p,q),q)))|$ANS(neg_th_53). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 1281 [binary,1280.1,62.1] $ANS(neg_th_53). ------------ end of proof ------------- given clause #89: (wt=2) 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). given clause #90: (wt=2) 1094 [hyper,1,961,808] P(i(n(i(x,n(y))),y)). given clause #91: (wt=2) 1119 [hyper,1,81,963] P(i(i(x,i(x,y)),i(x,y))). given clause #92: (wt=2) 1183 [hyper,1,188,1006] P(i(i(n(x),x),i(i(y,x),i(i(x,z),z)))). given clause #93: (wt=2) 1184 [hyper,1,182,1006] P(i(i(n(x),y),i(i(y,x),i(i(x,z),z)))). given clause #94: (wt=2) 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). given clause #95: (wt=2) 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). -------- PROOF -------- 1512 [binary,1511.1,74.1] $ANS(neg_th_65). ----> UNIT CONFLICT at 0.22 sec ----> 1512 [binary,1511.1,74.1] $ANS(neg_th_65). Length of proof is 34. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 74 [] -P(i(i(n(q),n(i(p,p))),q))|$ANS(neg_th_65). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1511 [hyper,1,1201,136] P(i(i(n(x),n(i(y,y))),x)). 1512 [binary,1511.1,74.1] $ANS(neg_th_65). ------------ end of proof ------------- given clause #96: (wt=2) 1203 [hyper,1,1006,528] P(i(i(i(x,x),y),i(i(z,u),i(i(u,v),y)))). given clause #97: (wt=2) 1210 [hyper,1,1006,115] P(i(i(x,y),i(i(y,z),i(i(z,u),i(x,u))))). given clause #98: (wt=2) 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). -------- PROOF -------- 1631 [binary,1630.1,36.1] $ANS(neg_th_27). ----> UNIT CONFLICT at 0.23 sec ----> 1631 [binary,1630.1,36.1] $ANS(neg_th_27). Length of proof is 38. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 36 [] -P(i(i(i(p,q),q),i(i(q,p),p)))|$ANS(neg_th_27). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). 1631 [binary,1630.1,36.1] $ANS(neg_th_27). ------------ end of proof ------------- -------- PROOF -------- 1632 [binary,1630.1,35.1] $ANS(neg_th_26). ----> UNIT CONFLICT at 0.23 sec ----> 1632 [binary,1630.1,35.1] $ANS(neg_th_26). Length of proof is 38. Level of proof is 18. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 35 [] -P(i(i(i(p,q),r),i(i(r,p),p)))|$ANS(neg_th_26). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). 1632 [binary,1630.1,35.1] $ANS(neg_th_26). ------------ end of proof ------------- given clause #99: (wt=2) 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). given clause #100: (wt=2) 1230 [hyper,1,90,1008] P(i(i(x,i(y,z)),i(i(n(y),y),i(x,z)))). given clause #101: (wt=2) 1233 [hyper,1,10,1008] P(i(i(i(i(x,y),y),z),i(i(n(x),x),z))). given clause #102: (wt=2) 1236 [hyper,1,763,1075] P(i(x,n(n(x)))). given clause #103: (wt=2) 1239 [hyper,1,626,1075] P(i(i(x,n(x)),n(x))). -------- PROOF -------- 1958 [binary,1957.1,52.1] $ANS(neg_th_43). ----> UNIT CONFLICT at 0.26 sec ----> 1958 [binary,1957.1,52.1] $ANS(neg_th_43). Length of proof is 41. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 52 [] -P(i(i(p,q),i(i(q,n(p)),n(p))))|$ANS(neg_th_43). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1239 [hyper,1,626,1075] P(i(i(x,n(x)),n(x))). 1957 [hyper,1,1212,1239] P(i(i(x,y),i(i(y,n(x)),n(x)))). 1958 [binary,1957.1,52.1] $ANS(neg_th_43). ------------ end of proof ------------- given clause #104: (wt=2) 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). -------- PROOF -------- 2006 [binary,2005.1,55.1] $ANS(neg_th_46). ----> UNIT CONFLICT at 0.26 sec ----> 2006 [binary,2005.1,55.1] $ANS(neg_th_46). Length of proof is 38. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 55 [] -P(i(i(p,q),i(n(q),n(p))))|$ANS(neg_th_46). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 2006 [binary,2005.1,55.1] $ANS(neg_th_46). ------------ end of proof ------------- -------- PROOF -------- 2009 [binary,2008.1,56.1] $ANS(neg_th_47). ----> UNIT CONFLICT at 0.27 sec ----> 2009 [binary,2008.1,56.1] $ANS(neg_th_47). Length of proof is 38. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 56 [] -P(i(i(p,n(q)),i(q,n(p))))|$ANS(neg_th_47). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2008 [hyper,1,1256,763] P(i(i(x,n(y)),i(y,n(x)))). 2009 [binary,2008.1,56.1] $ANS(neg_th_47). ------------ end of proof ------------- given clause #105: (wt=2) 1261 [hyper,1,10,1075] P(i(i(x,y),i(n(n(x)),y))). given clause #106: (wt=2) 1277 [hyper,1,1089,763] P(i(i(n(n(x)),y),i(x,y))). given clause #107: (wt=2) 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). -------- PROOF -------- 2151 [binary,2150.1,63.1] $ANS(neg_th_54). ----> UNIT CONFLICT at 0.27 sec ----> 2151 [binary,2150.1,63.1] $ANS(neg_th_54). Length of proof is 40. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 63 [] -P(i(i(p,q),i(i(n(p),q),q)))|$ANS(neg_th_54). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2150 [hyper,1,1256,1280] P(i(i(x,y),i(i(n(x),y),y))). 2151 [binary,2150.1,63.1] $ANS(neg_th_54). ------------ end of proof ------------- -------- PROOF -------- 2175 [binary,2174.1,65.1] $ANS(neg_th_56). ----> UNIT CONFLICT at 0.27 sec ----> 2175 [binary,2174.1,65.1] $ANS(neg_th_56). Length of proof is 37. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 65 [] -P(i(i(i(i(p,q),q),r),i(i(n(p),q),r)))|$ANS(neg_th_56). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2174 [hyper,1,10,1280] P(i(i(i(i(x,y),y),z),i(i(n(x),y),z))). 2175 [binary,2174.1,65.1] $ANS(neg_th_56). ------------ end of proof ------------- given clause #108: (wt=2) 1282 [hyper,1,1089,526] P(i(i(n(x),y),i(z,i(i(x,y),y)))). given clause #109: (wt=2) 1288 [hyper,1,1089,151] P(i(i(n(x),y),i(i(y,z),i(i(x,y),z)))). given clause #110: (wt=2) 1358 [hyper,1,81,1119] P(i(i(i(x,y),x),i(i(x,y),y))). given clause #111: (wt=2) 1371 [hyper,1,10,1183] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(y),y),u))). given clause #112: (wt=2) 1373 [hyper,1,1089,1184] P(i(i(n(x),y),i(i(x,y),i(i(y,z),z)))). given clause #113: (wt=2) 1381 [hyper,1,270,1184] P(i(x,i(i(i(n(x),y),z),i(i(z,u),u)))). given clause #114: (wt=2) 1386 [hyper,1,10,1184] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(y),x),u))). given clause #115: (wt=2) 1391 [hyper,1,1184,938] P(i(i(i(x,y),x),i(i(x,z),z))). given clause #116: (wt=2) 1394 [hyper,1,1184,503] P(i(i(i(x,x),y),i(i(y,z),z))). given clause #117: (wt=2) 1407 [hyper,1,1184,12] P(i(i(i(n(n(x)),y),x),i(i(x,z),z))). given clause #118: (wt=2) 1430 [hyper,1,1192,665] P(i(i(x,i(y,z)),i(i(n(z),x),i(y,z)))). given clause #119: (wt=2) 1452 [hyper,1,1192,90] P(i(i(x,i(y,z)),i(i(u,x),i(y,i(u,z))))). given clause #120: (wt=2) 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). -------- PROOF -------- 2581 [binary,2580.1,68.1] $ANS(neg_th_59). ----> UNIT CONFLICT at 0.33 sec ----> 2581 [binary,2580.1,68.1] $ANS(neg_th_59). Length of proof is 40. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 68 [] -P(i(i(n(p),r),i(i(q,r),i(i(p,q),r))))|$ANS(neg_th_59). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2580 [hyper,1,1089,1471] P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))). 2581 [binary,2580.1,68.1] $ANS(neg_th_59). ------------ end of proof ------------- given clause #121: (wt=2) 1482 [hyper,1,1201,1092] P(i(i(n(x),n(i(x,y))),x)). given clause #122: (wt=2) 1511 [hyper,1,1201,136] P(i(i(n(x),n(i(y,y))),x)). given clause #123: (wt=2) 1527 [hyper,1,669,1203] P(i(i(n(x),x),i(i(y,z),i(i(z,u),x)))). given clause #124: (wt=2) 1611 [hyper,1,1210,11] P(i(i(x,y),i(i(y,z),i(i(n(x),x),z)))). given clause #125: (wt=2) 1618 [hyper,1,669,1212] P(i(i(n(x),y),i(i(y,z),i(i(z,x),x)))). -------- PROOF -------- 2731 [binary,2730.1,66.1] $ANS(neg_th_57). ----> UNIT CONFLICT at 0.35 sec ----> 2731 [binary,2730.1,66.1] $ANS(neg_th_57). Length of proof is 41. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 66 [] -P(i(i(n(p),r),i(i(p,q),i(i(q,r),r))))|$ANS(neg_th_57). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 669 [hyper,1,10,626] P(i(i(i(i(x,y),y),z),i(i(n(y),x),z))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1618 [hyper,1,669,1212] P(i(i(n(x),y),i(i(y,z),i(i(z,x),x)))). 2730 [hyper,1,1089,1618] P(i(i(n(x),y),i(i(x,z),i(i(z,y),y)))). 2731 [binary,2730.1,66.1] $ANS(neg_th_57). ------------ end of proof ------------- given clause #126: (wt=2) 1625 [hyper,1,1212,1201] P(i(i(x,y),i(i(y,z),i(i(n(z),x),z)))). given clause #127: (wt=2) 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). -------- PROOF -------- 2875 [binary,2874.1,37.1] $ANS(neg_th_28). ----> UNIT CONFLICT at 0.36 sec ----> 2875 [binary,2874.1,37.1] $ANS(neg_th_28). Length of proof is 39. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 37 [] -P(i(i(i(i(r,p),p),s),i(i(i(p,q),r),s)))|$ANS(neg_th_28). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). 2874 [hyper,1,10,1630] P(i(i(i(i(x,y),y),z),i(i(i(y,u),x),z))). 2875 [binary,2874.1,37.1] $ANS(neg_th_28). ------------ end of proof ------------- given clause #128: (wt=2) 1658 [hyper,1,1212,1216] P(i(i(x,y),i(i(y,z),i(i(u,x),i(u,z))))). given clause #129: (wt=2) 1660 [hyper,1,1192,1216] P(i(i(x,i(y,z)),i(i(u,y),i(u,i(x,z))))). given clause #130: (wt=2) 1665 [hyper,1,805,1216] P(i(i(x,i(y,z)),i(i(u,z),i(u,i(x,z))))). given clause #131: (wt=2) 1673 [hyper,1,122,1216] P(i(i(x,y),i(i(z,u),i(i(y,z),i(x,u))))). given clause #132: (wt=2) 1677 [hyper,1,90,1216] P(i(i(x,i(y,z)),i(i(z,u),i(x,i(y,u))))). given clause #133: (wt=2) 1680 [hyper,1,10,1216] P(i(i(i(i(x,y),i(x,z)),u),i(i(y,z),u))). given clause #134: (wt=2) 1686 [hyper,1,1216,1184] P(i(i(x,i(n(y),z)),i(x,i(i(z,y),i(i(y,u),u))))). given clause #135: (wt=2) 1687 [hyper,1,1216,1183] P(i(i(x,i(n(y),y)),i(x,i(i(z,y),i(i(y,u),u))))). given clause #136: (wt=2) 1730 [hyper,1,1216,177] P(i(i(x,i(n(y),y)),i(x,i(i(y,z),i(i(u,y),z))))). given clause #137: (wt=2) 1734 [hyper,1,1216,151] P(i(i(x,i(n(y),z)),i(x,i(i(y,u),i(i(z,y),u))))). given clause #138: (wt=2) 1805 [hyper,1,1233,1212] P(i(i(n(x),x),i(i(x,y),i(i(y,z),z)))). given clause #139: (wt=2) 1809 [hyper,1,1233,808] P(i(i(n(x),x),i(y,i(i(x,z),z)))). given clause #140: (wt=2) 1822 [hyper,1,1233,10] P(i(i(n(x),x),i(i(y,z),i(i(x,y),z)))). given clause #141: (wt=2) 1957 [hyper,1,1212,1239] P(i(i(x,y),i(i(y,n(x)),n(x)))). -------- PROOF -------- 3494 [binary,3493.1,53.1] $ANS(neg_th_44). ----> UNIT CONFLICT at 0.47 sec ----> 3494 [binary,3493.1,53.1] $ANS(neg_th_44). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 53 [] -P(i(i(s,i(q,n(p))),i(i(p,q),i(s,n(p)))))|$ANS(neg_th_44). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1239 [hyper,1,626,1075] P(i(i(x,n(x)),n(x))). 1957 [hyper,1,1212,1239] P(i(i(x,y),i(i(y,n(x)),n(x)))). 3493 [hyper,1,90,1957] P(i(i(x,i(y,n(z))),i(i(z,y),i(x,n(z))))). 3494 [binary,3493.1,53.1] $ANS(neg_th_44). ------------ end of proof ------------- given clause #142: (wt=2) 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). -------- PROOF -------- 3557 [binary,3556.1,60.1] $ANS(neg_th_51). ----> UNIT CONFLICT at 0.48 sec ----> 3557 [binary,3556.1,60.1] $ANS(neg_th_51). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 60 [] -P(i(i(p,i(q,r)),i(p,i(n(r),n(q)))))|$ANS(neg_th_51). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 3556 [hyper,1,1216,2005] P(i(i(x,i(y,z)),i(x,i(n(z),n(y))))). 3557 [binary,3556.1,60.1] $ANS(neg_th_51). ------------ end of proof ------------- -------- PROOF -------- 3637 [binary,3636.1,76.1] $ANS(neg_th_67). ----> UNIT CONFLICT at 0.49 sec ----> 3637 [binary,3636.1,76.1] $ANS(neg_th_67). Length of proof is 39. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 76 [] -P(i(n(i(p,q)),n(q)))|$ANS(neg_th_67). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 3636 [hyper,1,2005,808] P(i(n(i(x,y)),n(y))). 3637 [binary,3636.1,76.1] $ANS(neg_th_67). ------------ end of proof ------------- given clause #143: (wt=2) 2008 [hyper,1,1256,763] P(i(i(x,n(y)),i(y,n(x)))). -------- PROOF -------- 3709 [binary,3708.1,61.1] $ANS(neg_th_52). ----> UNIT CONFLICT at 0.49 sec ----> 3709 [binary,3708.1,61.1] $ANS(neg_th_52). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 61 [] -P(i(i(p,i(q,n(r))),i(p,i(r,n(q)))))|$ANS(neg_th_52). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2008 [hyper,1,1256,763] P(i(i(x,n(y)),i(y,n(x)))). 3708 [hyper,1,1216,2008] P(i(i(x,i(y,n(z))),i(x,i(z,n(y))))). 3709 [binary,3708.1,61.1] $ANS(neg_th_52). ------------ end of proof ------------- given clause #144: (wt=2) 2150 [hyper,1,1256,1280] P(i(i(x,y),i(i(n(x),y),y))). -------- PROOF -------- 3752 [hyper,3,808,1006,1216,12,2150,1119] $ANSWER(step_allHilbert_18_21_22_3_54_30). -----> EMPTY CLAUSE at 0.50 sec ----> 3752 [hyper,3,808,1006,1216,12,2150,1119] $ANSWER(step_allHilbert_18_21_22_3_54_30). Length of proof is 45. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 3 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(q,r),i(i(p,q),i(p,r))))| -P(i(p,i(n(p),q)))| -P(i(i(p,q),i(i(n(p),q),q)))| -P(i(i(p,i(p,q)),i(p,q)))|$ANSWER(step_allHilbert_18_21_22_3_54_30). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1119 [hyper,1,81,963] P(i(i(x,i(x,y)),i(x,y))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2150 [hyper,1,1256,1280] P(i(i(x,y),i(i(n(x),y),y))). 3752 [hyper,3,808,1006,1216,12,2150,1119] $ANSWER(step_allHilbert_18_21_22_3_54_30). ------------ end of proof ------------- given clause #145: (wt=2) 2155 [hyper,1,1212,1280] P(i(i(n(x),y),i(i(y,z),i(i(x,z),z)))). -------- PROOF -------- 3858 [binary,3857.1,38.1] $ANS(neg_th_29). ----> UNIT CONFLICT at 0.52 sec ----> 3858 [binary,3857.1,38.1] $ANS(neg_th_29). Length of proof is 41. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 38 [] -P(i(i(i(p,q),r),i(i(p,r),r)))|$ANS(neg_th_29). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2155 [hyper,1,1212,1280] P(i(i(n(x),y),i(i(y,z),i(i(x,z),z)))). 3857 [hyper,1,2155,938] P(i(i(i(x,y),z),i(i(x,z),z))). 3858 [binary,3857.1,38.1] $ANS(neg_th_29). ------------ end of proof ------------- given clause #146: (wt=2) 2171 [hyper,1,90,1280] P(i(i(x,i(y,z)),i(i(n(y),z),i(x,z)))). given clause #147: (wt=2) 2174 [hyper,1,10,1280] P(i(i(i(i(x,y),y),z),i(i(n(x),y),z))). given clause #148: (wt=2) 2176 [hyper,1,1280,941] P(i(i(x,i(i(n(x),y),y)),i(i(n(x),y),y))). given clause #149: (wt=2) 2195 [hyper,1,10,1282] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(y),z),u))). given clause #150: (wt=2) 2205 [hyper,1,1256,1288] P(i(i(x,y),i(i(y,z),i(i(n(x),y),z)))). given clause #151: (wt=2) 2208 [hyper,1,1216,1288] P(i(i(x,i(n(y),z)),i(x,i(i(z,u),i(i(y,z),u))))). given clause #152: (wt=2) 2221 [hyper,1,10,1288] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(z),x),u))). given clause #153: (wt=2) 2233 [hyper,1,1212,1358] P(i(i(i(x,y),z),i(i(z,x),i(i(x,y),y)))). given clause #154: (wt=2) 2243 [hyper,1,122,1358] P(i(i(x,y),i(i(i(x,z),x),i(i(y,z),z)))). given clause #155: (wt=2) 2250 [hyper,1,10,1358] P(i(i(i(i(x,y),y),z),i(i(i(x,y),x),z))). given clause #156: (wt=2) 2267 [hyper,1,1216,1373] P(i(i(x,i(n(y),z)),i(x,i(i(y,z),i(i(z,u),u))))). given clause #157: (wt=2) 2279 [hyper,1,10,1373] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),y),u))). given clause #158: (wt=2) 2350 [hyper,1,1212,1391] P(i(i(i(x,y),z),i(i(z,x),i(i(x,u),u)))). given clause #159: (wt=2) 2358 [hyper,1,584,1391] P(i(i(x,y),i(i(i(z,u),z),i(i(y,v),z)))). given clause #160: (wt=2) 2362 [hyper,1,122,1391] P(i(i(x,y),i(i(i(x,z),x),i(i(y,u),u)))). given clause #161: (wt=2) 2369 [hyper,1,10,1391] P(i(i(i(i(x,y),y),z),i(i(i(x,u),x),z))). given clause #162: (wt=2) 2375 [hyper,1,1212,1394] P(i(i(i(x,x),y),i(i(y,z),i(i(z,u),u)))). given clause #163: (wt=2) 2385 [hyper,1,122,1394] P(i(i(x,y),i(i(i(z,z),x),i(i(y,u),u)))). given clause #164: (wt=2) 2392 [hyper,1,10,1394] P(i(i(i(i(x,y),y),z),i(i(i(u,u),x),z))). given clause #165: (wt=2) 2576 [hyper,1,1216,1471] P(i(i(x,i(n(y),z)),i(x,i(i(u,y),i(i(z,u),y))))). -------- PROOF -------- 4783 [binary,4782.1,70.1] $ANS(neg_th_61). ----> UNIT CONFLICT at 0.67 sec ----> 4783 [binary,4782.1,70.1] $ANS(neg_th_61). Length of proof is 45. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 70 [] -P(i(i(p,r),i(i(q,r),i(i(n(p),q),r))))|$ANS(neg_th_61). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 2576 [hyper,1,1216,1471] P(i(i(x,i(n(y),z)),i(x,i(i(u,y),i(i(z,u),y))))). 4782 [hyper,1,2576,2005] P(i(i(x,y),i(i(z,y),i(i(n(x),z),y)))). 4783 [binary,4782.1,70.1] $ANS(neg_th_61). ------------ end of proof ------------- given clause #166: (wt=2) 2580 [hyper,1,1089,1471] P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))). -------- PROOF -------- 4796 [hyper,5,881,981,2580] $ANSWER(step_allLuka_x_19_37_59). -----> EMPTY CLAUSE at 0.67 sec ----> 4796 [hyper,5,881,981,2580] $ANSWER(step_allLuka_x_19_37_59). Length of proof is 41. Level of proof is 19. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 5 [] -P(i(i(i(p,q),r),i(q,r)))| -P(i(i(i(p,q),r),i(n(p),r)))| -P(i(i(n(p),r),i(i(q,r),i(i(p,q),r))))|$ANSWER(step_allLuka_x_19_37_59). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 981 [hyper,1,10,938] P(i(i(i(x,y),z),i(n(x),z))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2580 [hyper,1,1089,1471] P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))). 4796 [hyper,5,881,981,2580] $ANSWER(step_allLuka_x_19_37_59). ------------ end of proof ------------- -------- PROOF -------- 4807 [binary,4806.1,69.1] $ANS(neg_th_60). ----> UNIT CONFLICT at 0.68 sec ----> 4807 [binary,4806.1,69.1] $ANS(neg_th_60). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 69 [] -P(i(i(s,i(n(p),r)),i(s,i(i(q,r),i(i(p,q),r)))))|$ANS(neg_th_60). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2580 [hyper,1,1089,1471] P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))). 4806 [hyper,1,1216,2580] P(i(i(x,i(n(y),z)),i(x,i(i(u,z),i(i(y,u),z))))). 4807 [binary,4806.1,69.1] $ANS(neg_th_60). ------------ end of proof ------------- given clause #167: (wt=2) 2592 [hyper,1,10,1471] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(y),z),u))). given clause #168: (wt=2) 2594 [hyper,1,1471,1094] P(i(i(x,i(y,n(z))),i(i(z,x),i(y,n(z))))). given clause #169: (wt=2) 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). -------- PROOF -------- 4979 [binary,4978.1,44.1] $ANS(neg_th_35). ----> UNIT CONFLICT at 0.69 sec ----> 4979 [binary,4978.1,44.1] $ANS(neg_th_35). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 44 [] -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))|$ANS(neg_th_35). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). 4979 [binary,4978.1,44.1] $ANS(neg_th_35). ------------ end of proof ------------- given clause #170: (wt=2) 2667 [hyper,1,1216,1527] P(i(i(x,i(n(y),y)),i(x,i(i(z,u),i(i(u,v),y))))). given clause #171: (wt=2) 2676 [hyper,1,10,1527] P(i(i(i(i(x,y),i(i(y,z),u)),v),i(i(n(u),u),v))). given clause #172: (wt=2) 2688 [hyper,1,1006,1611] P(i(i(x,y),i(i(z,x),i(i(n(z),z),y)))). given clause #173: (wt=2) 2727 [hyper,1,1216,1618] P(i(i(x,i(n(y),z)),i(x,i(i(z,u),i(i(u,y),y))))). given clause #174: (wt=2) 2730 [hyper,1,1089,1618] P(i(i(n(x),y),i(i(x,z),i(i(z,y),y)))). -------- PROOF -------- 5266 [binary,5265.1,67.1] $ANS(neg_th_58). ----> UNIT CONFLICT at 0.72 sec ----> 5266 [binary,5265.1,67.1] $ANS(neg_th_58). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 67 [] -P(i(i(i(i(p,q),i(i(q,r),r)),s),i(i(n(p),r),s)))|$ANS(neg_th_58). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 669 [hyper,1,10,626] P(i(i(i(i(x,y),y),z),i(i(n(y),x),z))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1618 [hyper,1,669,1212] P(i(i(n(x),y),i(i(y,z),i(i(z,x),x)))). 2730 [hyper,1,1089,1618] P(i(i(n(x),y),i(i(x,z),i(i(z,y),y)))). 5265 [hyper,1,10,2730] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),z),u))). 5266 [binary,5265.1,67.1] $ANS(neg_th_58). ------------ end of proof ------------- given clause #175: (wt=2) 2739 [hyper,1,10,1618] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(z),x),u))). given clause #176: (wt=2) 2751 [hyper,1,1618,12] P(i(i(i(n(n(x)),y),z),i(i(z,x),x))). given clause #177: (wt=2) 2762 [hyper,1,1006,1625] P(i(i(x,y),i(i(z,x),i(i(n(y),z),y)))). given clause #178: (wt=2) 2800 [hyper,1,1625,941] P(i(i(i(i(x,y),y),z),i(i(n(z),x),z))). given clause #179: (wt=2) 2826 [hyper,1,1625,180] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(u),x),u))). given clause #180: (wt=2) 2840 [hyper,1,1625,12] P(i(i(i(n(x),y),z),i(i(n(z),x),z))). given clause #181: (wt=2) 2852 [hyper,1,1212,1630] P(i(i(i(x,y),z),i(i(z,u),i(i(u,x),x)))). given clause #182: (wt=2) 2866 [hyper,1,122,1630] P(i(i(x,y),i(i(i(z,u),x),i(i(y,z),z)))). given clause #183: (wt=2) 2874 [hyper,1,10,1630] P(i(i(i(i(x,y),y),z),i(i(i(y,u),x),z))). -------- PROOF -------- 5693 [binary,5692.1,41.1] $ANS(neg_th_32). ----> UNIT CONFLICT at 0.81 sec ----> 5693 [binary,5692.1,41.1] $ANS(neg_th_32). Length of proof is 41. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 41 [] -P(i(i(i(p,q),r),i(i(p,s),i(i(s,r),r))))|$ANS(neg_th_32). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). 2852 [hyper,1,1212,1630] P(i(i(i(x,y),z),i(i(z,u),i(i(u,x),x)))). 2874 [hyper,1,10,1630] P(i(i(i(i(x,y),y),z),i(i(i(y,u),x),z))). 5692 [hyper,1,2874,2852] P(i(i(i(x,y),z),i(i(x,u),i(i(u,z),z)))). 5693 [binary,5692.1,41.1] $ANS(neg_th_32). ------------ end of proof ------------- given clause #184: (wt=2) 2937 [hyper,1,1006,1658] P(i(i(x,y),i(i(z,x),i(i(u,z),i(u,y))))). given clause #185: (wt=2) 3027 [hyper,1,805,1660] P(i(i(x,i(y,z)),i(i(u,x),i(u,i(z,z))))). given clause #186: (wt=2) 3129 [hyper,1,1192,1665] P(i(i(x,i(y,z)),i(i(u,z),i(u,i(y,z))))). given clause #187: (wt=2) 3134 [hyper,1,805,1665] P(i(i(x,i(y,z)),i(i(u,z),i(u,i(z,z))))). given clause #188: (wt=2) 3153 [hyper,1,1006,1673] P(i(i(x,y),i(i(z,u),i(i(u,x),i(z,y))))). given clause #189: (wt=2) 3232 [hyper,1,1192,1677] P(i(i(x,i(y,z)),i(i(z,u),i(y,i(x,u))))). given clause #190: (wt=2) 3247 [hyper,1,1677,1630] P(i(i(x,y),i(i(i(x,z),u),i(i(u,x),y)))). given clause #191: (wt=2) 3258 [hyper,1,1677,1394] P(i(i(x,y),i(i(i(z,z),u),i(i(u,x),y)))). given clause #192: (wt=2) 3259 [hyper,1,1677,1391] P(i(i(x,y),i(i(i(z,u),z),i(i(z,x),y)))). given clause #193: (wt=2) 3265 [hyper,1,1677,1216] P(i(i(i(x,y),z),i(i(u,y),i(i(x,u),z)))). given clause #194: (wt=2) 3269 [hyper,1,1677,1201] P(i(i(x,y),i(i(z,x),i(i(n(x),z),y)))). given clause #195: (wt=2) 3338 [hyper,1,1680,10] P(i(i(x,y),i(i(i(z,y),u),i(i(z,x),u)))). given clause #196: (wt=2) 3364 [hyper,1,1687,981] P(i(i(i(x,y),x),i(i(z,x),i(i(x,u),u)))). given clause #197: (wt=2) 3368 [hyper,1,1687,519] P(i(i(i(x,x),y),i(i(z,y),i(i(y,u),u)))). given clause #198: (wt=2) 3380 [hyper,1,1730,981] P(i(i(i(x,y),x),i(i(x,z),i(i(u,x),z)))). given clause #199: (wt=2) 3395 [hyper,1,1734,981] P(i(i(i(x,y),z),i(i(x,u),i(i(z,x),u)))). given clause #200: (wt=2) 3399 [hyper,1,1734,519] P(i(i(i(x,x),y),i(i(z,u),i(i(y,z),u)))). given clause #201: (wt=2) 3415 [hyper,1,1216,1805] P(i(i(x,i(n(y),y)),i(x,i(i(y,z),i(i(z,u),u))))). given clause #202: (wt=2) 3423 [hyper,1,10,1805] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),x),u))). given clause #203: (wt=2) 3443 [hyper,1,10,1809] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(y),y),u))). given clause #204: (wt=2) 3451 [hyper,1,1216,1822] P(i(i(x,i(n(y),y)),i(x,i(i(z,u),i(i(y,z),u))))). given clause #205: (wt=2) 3459 [hyper,1,10,1822] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(z),z),u))). given clause #206: (wt=2) 3493 [hyper,1,90,1957] P(i(i(x,i(y,n(z))),i(i(z,y),i(x,n(z))))). -------- PROOF -------- 6956 [binary,6955.1,64.1] $ANS(neg_th_55). ----> UNIT CONFLICT at 1.07 sec ----> 6956 [binary,6955.1,64.1] $ANS(neg_th_55). Length of proof is 45. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 64 [] -P(i(i(p,q),i(i(p,n(q)),n(p))))|$ANS(neg_th_55). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1239 [hyper,1,626,1075] P(i(i(x,n(x)),n(x))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1957 [hyper,1,1212,1239] P(i(i(x,y),i(i(y,n(x)),n(x)))). 2008 [hyper,1,1256,763] P(i(i(x,n(y)),i(y,n(x)))). 3493 [hyper,1,90,1957] P(i(i(x,i(y,n(z))),i(i(z,y),i(x,n(z))))). 6955 [hyper,1,3493,2008] P(i(i(x,y),i(i(x,n(y)),n(x)))). 6956 [binary,6955.1,64.1] $ANS(neg_th_55). ------------ end of proof ------------- given clause #207: (wt=2) 3556 [hyper,1,1216,2005] P(i(i(x,i(y,z)),i(x,i(n(z),n(y))))). -------- PROOF -------- 7105 [binary,7104.1,78.1] $ANS(neg_th_69). ----> UNIT CONFLICT at 1.09 sec ----> 7105 [binary,7104.1,78.1] $ANS(neg_th_69). Length of proof is 43. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 78 [] -P(i(p,i(n(q),n(i(p,q)))))|$ANS(neg_th_69). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 3556 [hyper,1,1216,2005] P(i(i(x,i(y,z)),i(x,i(n(z),n(y))))). 7104 [hyper,1,3556,941] P(i(x,i(n(y),n(i(x,y))))). 7105 [binary,7104.1,78.1] $ANS(neg_th_69). ------------ end of proof ------------- given clause #208: (wt=2) 3636 [hyper,1,2005,808] P(i(n(i(x,y)),n(y))). given clause #209: (wt=2) 3701 [hyper,1,1452,2008] P(i(i(x,i(y,n(z))),i(z,i(x,n(y))))). given clause #210: (wt=2) 3708 [hyper,1,1216,2008] P(i(i(x,i(y,n(z))),i(x,i(z,n(y))))). -------- PROOF -------- 7361 [binary,7360.1,79.1] $ANS(neg_th_70). ----> UNIT CONFLICT at 1.11 sec ----> 7361 [binary,7360.1,79.1] $ANS(neg_th_70). Length of proof is 43. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 79 [] -P(i(p,i(q,n(i(p,n(q))))))|$ANS(neg_th_70). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 2008 [hyper,1,1256,763] P(i(i(x,n(y)),i(y,n(x)))). 3708 [hyper,1,1216,2008] P(i(i(x,i(y,n(z))),i(x,i(z,n(y))))). 7360 [hyper,1,3708,941] P(i(x,i(y,n(i(x,n(y)))))). 7361 [binary,7360.1,79.1] $ANS(neg_th_70). ------------ end of proof ------------- given clause #211: (wt=2) 3757 [hyper,1,1677,2150] P(i(i(x,y),i(i(z,x),i(i(n(z),x),y)))). given clause #212: (wt=2) 3766 [hyper,1,1212,2150] P(i(i(x,y),i(i(y,z),i(i(n(x),z),z)))). given clause #213: (wt=2) 3778 [hyper,1,122,2150] P(i(i(n(x),y),i(i(x,z),i(i(y,z),z)))). given clause #214: (wt=2) 3841 [hyper,1,1216,2155] P(i(i(x,i(n(y),z)),i(x,i(i(z,u),i(i(y,u),u))))). given clause #215: (wt=2) 3853 [hyper,1,10,2155] P(i(i(i(i(x,y),i(i(z,y),y)),u),i(i(n(z),x),u))). given clause #216: (wt=2) 3857 [hyper,1,2155,938] P(i(i(i(x,y),z),i(i(x,z),z))). -------- PROOF -------- 7695 [binary,7694.1,40.1] $ANS(neg_th_31). ----> UNIT CONFLICT at 1.18 sec ----> 7695 [binary,7694.1,40.1] $ANS(neg_th_31). Length of proof is 42. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 40 [] -P(i(i(p,s),i(i(i(p,q),r),i(i(s,r),r))))|$ANS(neg_th_31). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2155 [hyper,1,1212,1280] P(i(i(n(x),y),i(i(y,z),i(i(x,z),z)))). 3857 [hyper,1,2155,938] P(i(i(i(x,y),z),i(i(x,z),z))). 7694 [hyper,1,122,3857] P(i(i(x,y),i(i(i(x,z),u),i(i(y,u),u)))). 7695 [binary,7694.1,40.1] $ANS(neg_th_31). ------------ end of proof ------------- given clause #217: (wt=2) 3867 [hyper,1,2155,12] P(i(i(i(n(n(x)),y),z),i(i(x,z),z))). given clause #218: (wt=2) 3883 [hyper,1,1192,2171] P(i(i(x,i(y,z)),i(i(n(x),z),i(y,z)))). given clause #219: (wt=2) 4124 [hyper,1,2208,981] P(i(i(i(x,y),z),i(i(z,u),i(i(x,z),u)))). given clause #220: (wt=2) 4160 [hyper,1,1452,2233] P(i(i(x,i(i(y,z),u)),i(i(u,y),i(x,i(i(y,z),z))))). given clause #221: (wt=2) 4167 [hyper,1,1006,2233] P(i(i(x,y),i(i(i(y,z),x),i(i(y,z),z)))). given clause #222: (wt=2) 4174 [hyper,1,81,2233] P(i(i(x,y),i(i(i(x,z),y),i(i(y,z),z)))). given clause #223: (wt=2) 4192 [hyper,1,2233,1216] P(i(i(i(i(x,y),i(x,z)),y),i(i(y,z),z))). given clause #224: (wt=2) 4220 [hyper,1,2233,10] P(i(i(i(i(x,y),i(z,y)),z),i(i(z,x),x))). given clause #225: (wt=2) 4234 [hyper,1,1006,2243] P(i(i(i(x,y),x),i(i(x,z),i(i(z,y),y)))). given clause #226: (wt=2) 4241 [hyper,1,90,2243] P(i(i(x,i(i(y,z),y)),i(i(y,u),i(x,i(i(u,z),z))))). given clause #227: (wt=2) 4292 [hyper,1,2250,1630] P(i(i(i(x,y),x),i(i(y,x),x))). given clause #228: (wt=2) 4304 [hyper,1,2250,981] P(i(i(i(x,y),x),i(n(x),y))). given clause #229: (wt=2) 4322 [hyper,1,2250,10] P(i(i(i(x,y),x),i(i(y,z),i(i(x,y),z)))). given clause #230: (wt=2) 4334 [hyper,1,2267,981] P(i(i(i(x,y),z),i(i(x,z),i(i(z,u),u)))). given clause #231: (wt=2) 4373 [hyper,1,1452,2350] P(i(i(x,i(i(y,z),u)),i(i(u,y),i(x,i(i(y,v),v))))). given clause #232: (wt=2) 4381 [hyper,1,1006,2350] P(i(i(x,y),i(i(i(y,z),x),i(i(y,u),u)))). given clause #233: (wt=2) 4389 [hyper,1,81,2350] P(i(i(x,y),i(i(i(x,z),y),i(i(y,u),u)))). given clause #234: (wt=2) 4417 [hyper,1,2350,1216] P(i(i(i(i(x,y),i(x,z)),y),i(i(y,u),u))). given clause #235: (wt=2) 4455 [hyper,1,1119,2358] P(i(i(i(x,y),x),i(i(x,z),x))). given clause #236: (wt=2) 4457 [hyper,1,1006,2358] P(i(i(i(x,y),x),i(i(z,u),i(i(u,v),x)))). given clause #237: (wt=2) 4459 [hyper,1,963,2358] P(i(i(i(x,y),x),i(i(z,u),x))). given clause #238: (wt=2) 4465 [hyper,1,90,2358] P(i(i(x,i(i(y,z),y)),i(i(u,v),i(x,i(i(v,w),y))))). given clause #239: (wt=2) 4481 [hyper,1,1006,2362] P(i(i(i(x,y),x),i(i(x,z),i(i(z,u),u)))). given clause #240: (wt=2) 4488 [hyper,1,90,2362] P(i(i(x,i(i(y,z),y)),i(i(y,u),i(x,i(i(u,v),v))))). given clause #241: (wt=2) 4554 [hyper,1,2369,981] P(i(i(i(x,y),x),i(n(x),z))). given clause #242: (wt=2) 4559 [hyper,1,2369,519] P(i(i(i(x,y),x),i(z,x))). given clause #243: (wt=2) 4575 [hyper,1,2369,10] P(i(i(i(x,y),x),i(i(z,u),i(i(x,z),u)))). given clause #244: (wt=2) 4580 [hyper,1,1452,2375] P(i(i(x,i(i(y,y),z)),i(i(z,u),i(x,i(i(u,v),v))))). given clause #245: (wt=2) 4611 [hyper,1,2375,1261] P(i(i(i(n(n(x)),x),y),i(i(y,z),z))). given clause #246: (wt=2) 4754 [hyper,1,2392,981] P(i(i(i(x,x),y),i(n(y),z))). given clause #247: (wt=2) 4782 [hyper,1,2576,2005] P(i(i(x,y),i(i(z,y),i(i(n(x),z),y)))). given clause #248: (wt=2) 4788 [hyper,1,2576,981] P(i(i(i(x,y),z),i(i(u,x),i(i(z,u),x)))). given clause #249: (wt=2) 4806 [hyper,1,1216,2580] P(i(i(x,i(n(y),z)),i(x,i(i(u,z),i(i(y,u),z))))). -------- PROOF -------- 9164 [hyper,6,881,981,4806] $ANSWER(step_allWos_x_19_37_60). -----> EMPTY CLAUSE at 1.54 sec ----> 9164 [hyper,6,881,981,4806] $ANSWER(step_allWos_x_19_37_60). Length of proof is 43. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 6 [] -P(i(i(i(p,q),r),i(q,r)))| -P(i(i(i(p,q),r),i(n(p),r)))| -P(i(i(s,i(n(p),r)),i(s,i(i(q,r),i(i(p,q),r)))))|$ANSWER(step_allWos_x_19_37_60). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 981 [hyper,1,10,938] P(i(i(i(x,y),z),i(n(x),z))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2580 [hyper,1,1089,1471] P(i(i(n(x),y),i(i(z,y),i(i(x,z),y)))). 4806 [hyper,1,1216,2580] P(i(i(x,i(n(y),z)),i(x,i(i(u,z),i(i(y,u),z))))). 9164 [hyper,6,881,981,4806] $ANSWER(step_allWos_x_19_37_60). ------------ end of proof ------------- given clause #250: (wt=2) 4817 [hyper,1,10,2580] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(z),y),u))). given clause #251: (wt=2) 4921 [hyper,1,2594,808] P(i(i(x,n(x)),i(y,n(x)))). given clause #252: (wt=2) 4967 [hyper,1,1452,2595] P(i(i(x,i(y,i(z,u))),i(i(z,y),i(x,i(z,u))))). -------- PROOF -------- 9289 [binary,9288.1,43.1] $ANS(neg_th_34). ----> UNIT CONFLICT at 1.58 sec ----> 9289 [binary,9288.1,43.1] $ANS(neg_th_34). Length of proof is 44. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 43 [] -P(i(i(s,i(q,i(p,r))),i(i(p,s),i(q,i(p,r)))))|$ANS(neg_th_34). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1452 [hyper,1,1192,90] P(i(i(x,i(y,z)),i(i(u,x),i(y,i(u,z))))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4967 [hyper,1,1452,2595] P(i(i(x,i(y,i(z,u))),i(i(z,y),i(x,i(z,u))))). 9288 [hyper,1,1192,4967] P(i(i(x,i(y,i(z,u))),i(i(z,x),i(y,i(z,u))))). 9289 [binary,9288.1,43.1] $ANS(neg_th_34). ------------ end of proof ------------- given clause #253: (wt=2) 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). -------- PROOF -------- 9396 [hyper,9,110,808,1006,963,4978,1075,1236,763] $ANSWER(step_allScott_orig0_16_18_21_24_35_39_40_49). -----> EMPTY CLAUSE at 1.60 sec ----> 9396 [hyper,9,110,808,1006,963,4978,1075,1236,763] $ANSWER(step_allScott_orig0_16_18_21_24_35_39_40_49). Length of proof is 46. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 9 [] -P(i(p,p))| -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(i(p,q),p),p))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(n(p),n(q)),i(q,p)))|$ANSWER(step_allScott_orig0_16_18_21_24_35_39_40_49). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1236 [hyper,1,763,1075] P(i(x,n(n(x)))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). 9396 [hyper,9,110,808,1006,963,4978,1075,1236,763] $ANSWER(step_allScott_orig0_16_18_21_24_35_39_40_49). ------------ end of proof ------------- -------- PROOF -------- 9397 [hyper,8,110,808,1006,963,4978,1075,1236,2005] $ANSWER(step_allScott_orig_16_18_21_24_35_39_40_46). -----> EMPTY CLAUSE at 1.60 sec ----> 9397 [hyper,8,110,808,1006,963,4978,1075,1236,2005] $ANSWER(step_allScott_orig_16_18_21_24_35_39_40_46). Length of proof is 48. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 8 [] -P(i(p,p))| -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(q,i(p,r))))| -P(i(i(i(p,q),p),p))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(p,q),i(n(q),n(p))))|$ANSWER(step_allScott_orig_16_18_21_24_35_39_40_46). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1236 [hyper,1,763,1075] P(i(x,n(n(x)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). 9397 [hyper,8,110,808,1006,963,4978,1075,1236,2005] $ANSWER(step_allScott_orig_16_18_21_24_35_39_40_46). ------------ end of proof ------------- -------- PROOF -------- 9398 [hyper,4,808,4978,763] $ANSWER(step_allBEH_Church_FL_18_35_49). -----> EMPTY CLAUSE at 1.60 sec ----> 9398 [hyper,4,808,4978,763] $ANSWER(step_allBEH_Church_FL_18_35_49). Length of proof is 42. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 4 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(i(n(p),n(q)),i(q,p)))|$ANSWER(step_allBEH_Church_FL_18_35_49). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). 9398 [hyper,4,808,4978,763] $ANSWER(step_allBEH_Church_FL_18_35_49). ------------ end of proof ------------- -------- PROOF -------- 9399 [hyper,2,808,4978,1075,1236,2005,1006] $ANSWER(step_allFrege_18_35_39_40_46_21). -----> EMPTY CLAUSE at 1.61 sec ----> 9399 [hyper,2,808,4978,1075,1236,2005,1006] $ANSWER(step_allFrege_18_35_39_40_46_21). Length of proof is 47. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 2 [] -P(i(p,i(q,p)))| -P(i(i(p,i(q,r)),i(i(p,q),i(p,r))))| -P(i(n(n(p)),p))| -P(i(p,n(n(p))))| -P(i(i(p,q),i(n(q),n(p))))| -P(i(i(p,i(q,r)),i(q,i(p,r))))|$ANSWER(step_allFrege_18_35_39_40_46_21). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1092 [hyper,1,961,938] P(i(n(i(x,y)),x)). 1192 [hyper,1,10,1006] P(i(i(i(x,i(y,z)),u),i(i(y,i(x,z)),u))). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1236 [hyper,1,763,1075] P(i(x,n(n(x)))). 1256 [hyper,1,95,1075] P(i(i(i(n(n(x)),y),z),i(i(x,y),z))). 1471 [hyper,1,122,1201] P(i(i(n(x),y),i(i(z,x),i(i(y,z),x)))). 2005 [hyper,1,1256,961] P(i(i(x,y),i(n(y),n(x)))). 2595 [hyper,1,1471,1092] P(i(i(x,i(y,z)),i(i(y,x),i(y,z)))). 4978 [hyper,1,1192,2595] P(i(i(x,i(y,z)),i(i(x,y),i(x,z)))). 9399 [hyper,2,808,4978,1075,1236,2005,1006] $ANSWER(step_allFrege_18_35_39_40_46_21). ------------ end of proof ------------- given clause #254: (wt=2) 5123 [hyper,1,2676,1006] P(i(i(n(x),x),i(i(y,z),i(i(u,y),x)))). given clause #255: (wt=2) 5125 [hyper,1,2676,881] P(i(i(n(x),x),i(y,i(i(y,z),x)))). given clause #256: (wt=2) 5127 [hyper,1,2676,519] P(i(i(n(x),x),i(y,i(i(z,u),x)))). given clause #257: (wt=2) 5256 [hyper,1,1216,2730] P(i(i(x,i(n(y),z)),i(x,i(i(y,u),i(i(u,z),z))))). given clause #258: (wt=2) 5265 [hyper,1,10,2730] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),z),u))). given clause #259: (wt=2) 5514 [hyper,1,1452,2852] P(i(i(x,i(i(y,z),u)),i(i(u,v),i(x,i(i(v,y),y))))). given clause #260: (wt=2) 5529 [hyper,1,81,2852] P(i(i(x,y),i(i(i(x,z),u),i(i(u,y),y)))). given clause #261: (wt=2) 5535 [hyper,1,2852,2595] P(i(i(i(i(x,y),i(x,z)),u),i(i(u,y),y))). given clause #262: (wt=2) 5692 [hyper,1,2874,2852] P(i(i(i(x,y),z),i(i(x,u),i(i(u,z),z)))). -------- PROOF -------- 9889 [binary,9888.1,42.1] $ANS(neg_th_33). ----> UNIT CONFLICT at 1.72 sec ----> 9889 [binary,9888.1,42.1] $ANS(neg_th_33). Length of proof is 42. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 42 [] -P(i(i(p,s),i(i(s,i(q,i(p,r))),i(q,i(p,r)))))|$ANS(neg_th_33). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 963 [hyper,1,626,938] P(i(i(i(x,y),x),x)). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1630 [hyper,1,1212,963] P(i(i(i(x,y),z),i(i(z,x),x))). 2852 [hyper,1,1212,1630] P(i(i(i(x,y),z),i(i(z,u),i(i(u,x),x)))). 2874 [hyper,1,10,1630] P(i(i(i(i(x,y),y),z),i(i(i(y,u),x),z))). 5692 [hyper,1,2874,2852] P(i(i(i(x,y),z),i(i(x,u),i(i(u,z),z)))). 9888 [hyper,1,5692,1006] P(i(i(x,y),i(i(y,i(z,i(x,u))),i(z,i(x,u))))). 9889 [binary,9888.1,42.1] $ANS(neg_th_33). ------------ end of proof ------------- given clause #263: (wt=2) 5722 [hyper,1,2874,981] P(i(i(i(x,y),z),i(n(z),x))). given clause #264: (wt=2) 5777 [hyper,1,2937,1630] P(i(i(x,i(i(y,z),u)),i(i(v,x),i(v,i(i(u,y),y))))). given clause #265: (wt=2) 5780 [hyper,1,2937,1394] P(i(i(x,i(i(y,y),z)),i(i(u,x),i(u,i(i(z,v),v))))). given clause #266: (wt=2) 5781 [hyper,1,2937,1391] P(i(i(x,i(i(y,z),y)),i(i(u,x),i(u,i(i(y,v),v))))). given clause #267: (wt=2) 5785 [hyper,1,2937,1239] P(i(i(x,i(y,n(y))),i(i(z,x),i(z,n(y))))). given clause #268: (wt=2) 5789 [hyper,1,2937,1119] P(i(i(x,i(y,i(y,z))),i(i(u,x),i(u,i(y,z))))). given clause #269: (wt=2) 5857 [hyper,1,1192,3027] P(i(i(x,i(y,z)),i(i(u,y),i(u,i(z,z))))). given clause #270: (wt=2) 5951 [hyper,1,3153,1119] P(i(i(x,y),i(i(y,i(z,i(z,u))),i(x,i(z,u))))). given clause #271: (wt=2) 6157 [hyper,1,90,3247] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(u,y),v))))). given clause #272: (wt=2) 6212 [hyper,1,90,3258] P(i(i(x,i(i(y,y),z)),i(i(u,v),i(x,i(i(z,u),v))))). given clause #273: (wt=2) 6299 [hyper,1,90,3259] P(i(i(x,i(i(y,z),y)),i(i(u,v),i(x,i(i(y,u),v))))). given clause #274: (wt=2) 6366 [hyper,1,1452,3265] P(i(i(x,i(i(y,z),u)),i(i(v,z),i(x,i(i(y,v),u))))). given clause #275: (wt=2) 6404 [hyper,1,3265,2150] P(i(i(x,y),i(i(z,x),i(i(n(z),y),y)))). given clause #276: (wt=2) 6468 [hyper,1,1006,3269] P(i(i(x,y),i(i(y,z),i(i(n(y),x),z)))). given clause #277: (wt=2) 6603 [hyper,1,1452,3364] P(i(i(x,i(i(y,z),y)),i(i(u,y),i(x,i(i(y,v),v))))). given clause #278: (wt=2) 6619 [hyper,1,1452,3368] P(i(i(x,i(i(y,y),z)),i(i(u,z),i(x,i(i(z,v),v))))). given clause #279: (wt=2) 6642 [hyper,1,1452,3380] P(i(i(x,i(i(y,z),y)),i(i(y,u),i(x,i(i(v,y),u))))). given clause #280: (wt=2) 6646 [hyper,1,1006,3380] P(i(i(x,y),i(i(i(x,z),x),i(i(u,x),y)))). given clause #281: (wt=2) 6955 [hyper,1,3493,2008] P(i(i(x,y),i(i(x,n(y)),n(x)))). given clause #282: (wt=2) 7020 [hyper,1,1192,3556] P(i(i(x,i(y,z)),i(y,i(n(z),n(x))))). given clause #283: (wt=2) 7104 [hyper,1,3556,941] P(i(x,i(n(y),n(i(x,y))))). given clause #284: (wt=2) 7214 [hyper,1,1192,3701] P(i(i(x,i(y,n(z))),i(z,i(y,n(x))))). given clause #285: (wt=2) 7267 [hyper,1,3701,941] P(i(x,i(y,n(i(y,n(x)))))). given clause #286: (wt=2) 7320 [hyper,1,1192,3708] P(i(i(x,i(y,n(z))),i(y,i(z,n(x))))). given clause #287: (wt=2) 7360 [hyper,1,3708,941] P(i(x,i(y,n(i(x,n(y)))))). given clause #288: (wt=2) 7502 [hyper,1,3766,941] P(i(i(i(i(x,y),y),z),i(i(n(x),z),z))). given clause #289: (wt=2) 7528 [hyper,1,3766,180] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),u),u))). given clause #290: (wt=2) 7560 [hyper,1,1216,3778] P(i(i(x,i(n(y),z)),i(x,i(i(y,u),i(i(z,u),u))))). given clause #291: (wt=2) 7571 [hyper,1,10,3778] P(i(i(i(i(x,y),i(i(z,y),y)),u),i(i(n(x),z),u))). given clause #292: (wt=2) 7595 [hyper,1,3841,981] P(i(i(i(x,y),z),i(i(z,u),i(i(x,u),u)))). given clause #293: (wt=2) 7655 [hyper,1,3265,3857] P(i(i(x,y),i(i(i(z,u),x),i(i(z,y),y)))). given clause #294: (wt=2) 7660 [hyper,1,2937,3857] P(i(i(x,i(i(y,z),u)),i(i(v,x),i(v,i(i(y,u),u))))). given clause #295: (wt=2) 7673 [hyper,1,1677,3857] P(i(i(x,y),i(i(i(z,u),x),i(i(z,x),y)))). given clause #296: (wt=2) 7694 [hyper,1,122,3857] P(i(i(x,y),i(i(i(x,z),u),i(i(y,u),u)))). given clause #297: (wt=2) 7702 [hyper,1,10,3857] P(i(i(i(i(x,y),y),z),i(i(i(x,u),y),z))). given clause #298: (wt=2) 7718 [hyper,1,3857,1201] P(i(i(x,i(i(n(y),x),y)),i(i(n(y),x),y))). given clause #299: (wt=2) 7729 [hyper,1,3857,83] P(i(i(x,i(i(n(x),x),y)),i(i(n(x),x),y))). given clause #300: (wt=2) 7902 [hyper,1,1452,4124] P(i(i(x,i(i(y,z),u)),i(i(u,v),i(x,i(i(y,u),v))))). given clause #301: (wt=2) 8028 [hyper,1,4167,808] P(i(i(i(i(x,y),z),y),i(i(i(x,y),z),z))). given clause #302: (wt=2) 8056 [hyper,1,90,4174] P(i(i(x,i(i(y,z),u)),i(i(y,u),i(x,i(i(u,z),z))))). given clause #303: (wt=2) 8160 [hyper,1,3265,4292] P(i(i(x,y),i(i(i(y,z),x),i(i(z,y),y)))). given clause #304: (wt=2) 8165 [hyper,1,2937,4292] P(i(i(x,i(i(y,z),y)),i(i(u,x),i(u,i(i(z,y),y))))). given clause #305: (wt=2) 8195 [hyper,1,10,4292] P(i(i(i(i(x,y),y),z),i(i(i(y,x),y),z))). given clause #306: (wt=2) 8216 [hyper,1,2576,4304] P(i(i(i(x,y),x),i(i(z,x),i(i(y,z),x)))). given clause #307: (wt=2) 8282 [hyper,1,1452,4334] P(i(i(x,i(i(y,z),u)),i(i(y,u),i(x,i(i(u,v),v))))). given clause #308: (wt=2) 8425 [hyper,1,4381,808] P(i(i(i(i(x,y),z),y),i(i(i(x,y),u),u))). given clause #309: (wt=2) 8505 [hyper,1,3265,4455] P(i(i(x,y),i(i(i(y,z),x),i(i(y,u),y)))). given clause #310: (wt=2) 8510 [hyper,1,2937,4455] P(i(i(x,i(i(y,z),y)),i(i(u,x),i(u,i(i(y,v),y))))). given clause #311: (wt=2) 8519 [hyper,1,1677,4455] P(i(i(x,y),i(i(i(x,z),x),i(i(x,u),y)))). given clause #312: (wt=2) 8543 [hyper,1,10,4455] P(i(i(i(i(x,y),x),z),i(i(i(x,u),x),z))). given clause #313: (wt=2) 8565 [hyper,1,3265,4459] P(i(i(x,y),i(i(i(y,z),x),i(i(u,v),y)))). given clause #314: (wt=2) 8570 [hyper,1,2937,4459] P(i(i(x,i(i(y,z),y)),i(i(u,x),i(u,i(i(v,w),y))))). given clause #315: (wt=2) 8581 [hyper,1,1677,4459] P(i(i(x,y),i(i(i(x,z),x),i(i(u,v),y)))). given clause #316: (wt=2) 8603 [hyper,1,81,4459] P(i(i(x,i(x,y)),i(i(z,u),i(x,y)))). given clause #317: (wt=2) 8605 [hyper,1,10,4459] P(i(i(i(i(x,y),z),u),i(i(i(z,v),z),u))). given clause #318: (wt=2) 8679 [hyper,1,2576,4554] P(i(i(i(x,y),x),i(i(z,x),i(i(u,z),x)))). given clause #319: (wt=2) 8769 [hyper,1,81,4559] P(i(i(x,i(x,y)),i(z,i(x,y)))). given clause #320: (wt=2) 8950 [hyper,1,2576,4754] P(i(i(i(x,x),y),i(i(z,y),i(i(u,z),y)))). given clause #321: (wt=2) 9029 [hyper,1,1006,4782] P(i(i(x,y),i(i(z,y),i(i(n(z),x),y)))). given clause #322: (wt=2) 9070 [hyper,1,2874,4788] P(i(i(i(x,y),z),i(i(u,z),i(i(x,u),z)))). given clause #323: (wt=2) 9082 [hyper,1,1452,4788] P(i(i(x,i(i(y,z),u)),i(i(v,y),i(x,i(i(u,v),y))))). given clause #324: (wt=2) 9089 [hyper,1,1006,4788] P(i(i(x,y),i(i(i(y,z),u),i(i(u,x),y)))). given clause #325: (wt=2) 9255 [hyper,1,1452,4921] P(i(i(x,i(y,n(y))),i(z,i(x,n(y))))). given clause #326: (wt=2) 9260 [hyper,1,1216,4921] P(i(i(x,i(y,n(y))),i(x,i(z,n(y))))). given clause #327: (wt=2) 9288 [hyper,1,1192,4967] P(i(i(x,i(y,i(z,u))),i(i(z,x),i(y,i(z,u))))). given clause #328: (wt=2) 9291 [hyper,1,1006,4967] P(i(i(x,y),i(i(z,i(y,i(x,u))),i(z,i(x,u))))). given clause #329: (wt=2) 9292 [hyper,1,881,4967] P(i(i(x,i(y,z)),i(i(y,x),i(u,i(y,z))))). given clause #330: (wt=2) 9368 [hyper,1,4967,1216] P(i(i(x,i(x,y)),i(i(y,z),i(x,z)))). given clause #331: (wt=2) 9414 [hyper,1,1452,4978] P(i(i(x,i(y,i(z,u))),i(i(y,z),i(x,i(y,u))))). given clause #332: (wt=2) 9457 [hyper,1,4978,1119] P(i(i(i(x,i(x,y)),x),i(i(x,i(x,y)),y))). given clause #333: (wt=2) 9490 [hyper,1,1216,5123] P(i(i(x,i(n(y),y)),i(x,i(i(z,u),i(i(v,z),y))))). given clause #334: (wt=2) 9499 [hyper,1,10,5123] P(i(i(i(i(x,y),i(i(z,x),u)),v),i(i(n(u),u),v))). given clause #335: (wt=2) 9541 [hyper,1,10,5125] P(i(i(i(x,i(i(x,y),z)),u),i(i(n(z),z),u))). given clause #336: (wt=2) 9583 [hyper,1,10,5127] P(i(i(i(x,i(i(y,z),u)),v),i(i(n(u),u),v))). given clause #337: (wt=2) 9706 [hyper,1,5514,10] P(i(i(i(x,y),z),i(i(x,u),i(i(z,u),u)))). given clause #338: (wt=2) 9730 [hyper,1,90,5529] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(u,v),v))))). given clause #339: (wt=2) 9872 [hyper,1,1452,5692] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,u),u))))). given clause #340: (wt=2) 9888 [hyper,1,5692,1006] P(i(i(x,y),i(i(y,i(z,i(x,u))),i(z,i(x,u))))). given clause #341: (wt=2) 10219 [hyper,1,1192,5785] P(i(i(x,i(y,n(x))),i(i(z,y),i(z,n(x))))). given clause #342: (wt=2) 10263 [hyper,1,1192,5789] P(i(i(x,i(y,i(x,z))),i(i(u,y),i(u,i(x,z))))). given clause #343: (wt=2) 10265 [hyper,1,881,5789] P(i(i(x,i(x,y)),i(i(z,u),i(z,i(x,y))))). given clause #344: (wt=2) 10530 [hyper,1,6366,3857] P(i(i(x,y),i(i(i(z,u),y),i(i(z,x),y)))). given clause #345: (wt=2) 10922 [hyper,1,90,6955] P(i(i(x,i(y,n(z))),i(i(y,z),i(x,n(y))))). given clause #346: (wt=2) 11425 [hyper,1,7214,4921] P(i(x,i(y,n(i(x,n(x)))))). given clause #347: (wt=2) 11754 [hyper,1,7320,4921] P(i(x,i(y,n(i(y,n(y)))))). given clause #348: (wt=2) 12107 [hyper,1,1452,7595] P(i(i(x,i(i(y,z),u)),i(i(u,v),i(x,i(i(y,v),v))))). given clause #349: (wt=2) 12139 [hyper,1,7595,5127] P(i(i(i(x,i(i(y,z),u)),v),i(i(n(u),v),v))). given clause #350: (wt=2) 12140 [hyper,1,7595,4978] P(i(i(i(i(x,y),i(x,z)),u),i(i(x,u),u))). given clause #351: (wt=2) 12154 [hyper,1,7595,3857] P(i(i(i(i(x,y),y),z),i(i(i(x,u),z),z))). given clause #352: (wt=2) 12155 [hyper,1,7595,3778] P(i(i(i(i(x,y),i(i(z,y),y)),u),i(i(n(x),u),u))). given clause #353: (wt=2) 12177 [hyper,1,7595,2730] P(i(i(i(i(x,y),i(i(y,z),z)),u),i(i(n(x),u),u))). given clause #354: (wt=2) 12179 [hyper,1,7595,2595] P(i(i(i(i(x,y),i(x,z)),u),i(i(y,u),u))). given clause #355: (wt=2) 12181 [hyper,1,7595,2580] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(z),u),u))). given clause #356: (wt=2) 12189 [hyper,1,7595,2155] P(i(i(i(i(x,y),i(i(z,y),y)),u),i(i(n(z),u),u))). given clause #357: (wt=2) 12190 [hyper,1,7595,1809] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(y),u),u))). given clause #358: (wt=2) 12415 [hyper,1,7702,7702] P(i(i(i(i(x,y),z),y),i(i(i(x,u),y),y))). given clause #359: (wt=2) 12454 [hyper,1,7702,7502] P(i(i(i(i(x,y),z),y),i(i(n(x),y),y))). given clause #360: (wt=2) 12471 [hyper,1,7702,2874] P(i(i(i(i(x,y),z),y),i(i(i(y,u),x),y))). given clause #361: (wt=2) 12473 [hyper,1,7702,2800] P(i(i(i(i(x,y),z),y),i(i(n(y),x),y))). given clause #362: (wt=2) 12477 [hyper,1,7702,2392] P(i(i(i(i(x,y),z),y),i(i(i(u,u),x),y))). given clause #363: (wt=2) 12479 [hyper,1,7702,2369] P(i(i(i(i(x,y),z),y),i(i(i(x,u),x),y))). given clause #364: (wt=2) 12489 [hyper,1,7702,1233] P(i(i(i(i(x,y),z),y),i(i(n(x),x),y))). given clause #365: (wt=2) 12684 [hyper,1,90,8160] P(i(i(x,i(i(y,z),u)),i(i(u,y),i(x,i(i(z,y),y))))). given clause #366: (wt=2) 12777 [hyper,1,1452,8216] P(i(i(x,i(i(y,z),y)),i(i(u,y),i(x,i(i(z,u),y))))). given clause #367: (wt=2) 12898 [hyper,1,90,8505] P(i(i(x,i(i(y,z),u)),i(i(u,y),i(x,i(i(y,v),y))))). given clause #368: (wt=2) 12971 [hyper,1,90,8519] P(i(i(x,i(i(y,z),y)),i(i(y,u),i(x,i(i(y,v),u))))). given clause #369: (wt=2) 13022 [hyper,1,8543,3265] P(i(i(i(x,y),x),i(i(z,u),i(i(x,z),x)))). given clause #370: (wt=2) 13080 [hyper,1,90,8565] P(i(i(x,i(i(y,z),u)),i(i(u,y),i(x,i(i(v,w),y))))). given clause #371: (wt=2) 13172 [hyper,1,90,8581] P(i(i(x,i(i(y,z),y)),i(i(y,u),i(x,i(i(v,w),u))))). given clause #372: (wt=2) 13205 [hyper,1,1452,8603] P(i(i(x,i(y,i(y,z))),i(i(u,v),i(x,i(y,z))))). given clause #373: (wt=2) 13272 [hyper,1,1452,8679] P(i(i(x,i(i(y,z),y)),i(i(u,y),i(x,i(i(v,u),y))))). given clause #374: (wt=2) 13325 [hyper,1,10,8769] P(i(i(i(x,i(y,z)),u),i(i(y,i(y,z)),u))). given clause #375: (wt=2) 13336 [hyper,1,1452,8950] P(i(i(x,i(i(y,y),z)),i(i(u,z),i(x,i(i(v,u),z))))). given clause #376: (wt=2) 13350 [hyper,1,8950,881] P(i(i(x,i(y,i(z,y))),i(i(u,x),i(y,i(z,y))))). given clause #377: (wt=2) 13351 [hyper,1,8950,808] P(i(i(x,i(y,i(z,z))),i(i(u,x),i(y,i(z,z))))). given clause #378: (wt=2) 13411 [hyper,1,1452,9070] P(i(i(x,i(i(y,z),u)),i(i(v,u),i(x,i(i(y,v),u))))). given clause #379: (wt=2) 13620 [hyper,1,1192,9255] P(i(i(x,i(y,n(x))),i(z,i(y,n(x))))). given clause #380: (wt=2) 13679 [hyper,1,1192,9260] P(i(i(x,i(y,n(x))),i(y,i(z,n(x))))). given clause #381: (wt=2) 13725 [hyper,1,81,9288] P(i(i(x,y),i(i(z,i(y,i(z,u))),i(x,i(z,u))))). given clause #382: (wt=2) 13749 [hyper,1,9288,3232] P(i(i(x,i(y,i(x,z))),i(i(z,u),i(x,i(y,u))))). given clause #383: (wt=2) 13759 [hyper,1,9288,1677] P(i(i(x,i(x,i(y,z))),i(i(z,u),i(x,i(y,u))))). given clause #384: (wt=2) 13760 [hyper,1,9288,1660] P(i(i(x,i(y,i(z,u))),i(i(x,z),i(x,i(y,u))))). given clause #385: (wt=2) 13765 [hyper,1,9288,1452] P(i(i(x,i(y,i(x,z))),i(i(u,y),i(x,i(u,z))))). given clause #386: (wt=2) 13801 [hyper,1,9288,90] P(i(i(x,i(x,i(y,z))),i(i(u,y),i(x,i(u,z))))). given clause #387: (wt=2) 13845 [hyper,1,1192,9292] P(i(i(x,i(y,z)),i(i(x,y),i(u,i(x,z))))). given clause #388: (wt=2) 13875 [hyper,1,9292,2008] P(i(i(x,i(y,n(x))),i(z,i(x,n(y))))). given clause #389: (wt=2) 13937 [hyper,1,1452,9368] P(i(i(x,i(y,i(y,z))),i(i(z,u),i(x,i(y,u))))). given clause #390: (wt=2) 13968 [hyper,1,1192,9414] P(i(i(x,i(y,i(z,u))),i(i(x,z),i(y,i(x,u))))). given clause #391: (wt=2) 13970 [hyper,1,1006,9414] P(i(i(x,y),i(i(z,i(x,i(y,u))),i(z,i(x,u))))). given clause #392: (wt=2) 14055 [hyper,1,9490,4754] P(i(i(i(x,x),y),i(i(z,u),i(i(v,z),y)))). given clause #393: (wt=2) 14523 [hyper,1,1680,10263] P(i(i(x,i(i(y,x),z)),i(i(u,y),i(u,i(i(y,x),z))))). given clause #394: (wt=2) 14641 [hyper,1,1192,10922] P(i(i(x,i(y,n(z))),i(i(x,z),i(y,n(x))))). given clause #395: (wt=2) 14654 [hyper,1,10922,4921] P(i(i(x,y),i(i(y,n(y)),n(x)))). given clause #396: (wt=2) 15542 [hyper,1,12898,1630] P(i(i(x,y),i(i(i(x,z),y),i(i(y,u),y)))). given clause #397: (wt=2) 15600 [hyper,1,1452,13022] P(i(i(x,i(i(y,z),y)),i(i(u,v),i(x,i(i(y,u),y))))). given clause #398: (wt=2) 15677 [hyper,1,13080,1630] P(i(i(x,y),i(i(i(x,z),y),i(i(u,v),y)))). given clause #399: (wt=2) 15747 [hyper,1,1192,13205] P(i(i(x,i(y,i(x,z))),i(i(u,v),i(y,i(x,z))))). given clause #400: (wt=2) 15749 [hyper,1,881,13205] P(i(i(x,i(x,y)),i(i(z,u),i(v,i(x,y))))). given clause #401: (wt=2) 15831 [hyper,1,13325,13205] P(i(i(x,i(x,i(x,y))),i(i(z,u),i(v,i(x,y))))). given clause #402: (wt=2) 15832 [hyper,1,13325,10922] P(i(i(x,i(x,n(y))),i(i(x,y),i(z,n(x))))). given clause #403: (wt=2) 15833 [hyper,1,13325,10263] P(i(i(x,i(x,i(y,z))),i(i(u,x),i(u,i(y,z))))). given clause #404: (wt=2) 15834 [hyper,1,13325,10219] P(i(i(x,i(x,n(y))),i(i(z,x),i(z,n(y))))). given clause #405: (wt=2) 15837 [hyper,1,13325,9414] P(i(i(x,i(x,i(y,z))),i(i(x,y),i(u,i(x,z))))). given clause #406: (wt=2) 15838 [hyper,1,13325,9260] P(i(i(x,i(x,n(x))),i(y,i(z,n(x))))). given clause #407: (wt=2) 15840 [hyper,1,13325,7320] P(i(i(x,i(x,n(y))),i(x,i(y,n(z))))). given clause #408: (wt=2) 15842 [hyper,1,13325,7020] P(i(i(x,i(x,y)),i(x,i(n(y),n(z))))). given clause #409: (wt=2) 15846 [hyper,1,13325,4978] P(i(i(x,i(x,y)),i(i(z,x),i(z,y)))). given clause #410: (wt=2) 15847 [hyper,1,13325,4967] P(i(i(x,i(x,i(y,z))),i(i(y,x),i(u,i(y,z))))). given clause #411: (wt=2) 15850 [hyper,1,13325,3708] P(i(i(x,i(x,n(y))),i(z,i(y,n(x))))). given clause #412: (wt=2) 15851 [hyper,1,13325,3701] P(i(i(x,i(x,n(y))),i(y,i(z,n(x))))). given clause #413: (wt=2) 15852 [hyper,1,13325,3556] P(i(i(x,i(x,y)),i(z,i(n(y),n(x))))). given clause #414: (wt=2) 15853 [hyper,1,13325,3493] P(i(i(x,i(x,n(y))),i(i(y,x),i(z,n(y))))). given clause #415: (wt=2) 15857 [hyper,1,13325,3232] P(i(i(x,i(x,y)),i(i(y,z),i(x,i(u,z))))). given clause #416: (wt=2) 15865 [hyper,1,13325,2171] P(i(i(x,i(x,y)),i(i(n(x),y),i(z,y)))). given clause #417: (wt=2) 15870 [hyper,1,13325,1677] P(i(i(x,i(x,y)),i(i(y,z),i(u,i(x,z))))). given clause #418: (wt=2) 15872 [hyper,1,13325,1660] P(i(i(x,i(x,y)),i(i(z,x),i(z,i(u,y))))). given clause #419: (wt=2) 15876 [hyper,1,13325,1452] P(i(i(x,i(x,y)),i(i(z,u),i(x,i(z,y))))). given clause #420: (wt=2) 15878 [hyper,1,13325,1230] P(i(i(x,i(x,y)),i(i(n(x),x),i(z,y)))). given clause #421: (wt=2) 15880 [hyper,1,13325,1006] P(i(i(x,i(x,y)),i(x,i(z,y)))). given clause #422: (wt=2) 15882 [hyper,1,13325,665] P(i(i(x,i(x,y)),i(i(n(y),x),i(z,y)))). given clause #423: (wt=2) 15891 [hyper,1,13325,90] P(i(i(x,i(x,y)),i(i(z,x),i(u,i(z,y))))). given clause #424: (wt=2) 15941 [hyper,1,1192,13350] P(i(i(x,i(y,i(z,x))),i(i(u,y),i(x,i(z,x))))). given clause #425: (wt=2) 15950 [hyper,1,81,13350] P(i(i(x,y),i(i(z,i(y,i(u,x))),i(x,i(u,x))))). given clause #426: (wt=2) 15979 [hyper,1,81,13351] P(i(i(x,y),i(i(z,i(y,i(u,u))),i(x,i(u,u))))). given clause #427: (wt=2) 16120 [hyper,1,13325,13749] P(i(i(x,i(x,i(y,z))),i(i(z,u),i(y,i(x,u))))). given clause #428: (wt=2) 16129 [hyper,1,1192,13749] P(i(i(x,i(y,i(y,z))),i(i(z,u),i(y,i(x,u))))). given clause #429: (wt=2) 16130 [hyper,1,1006,13749] P(i(i(x,y),i(i(z,i(u,i(z,x))),i(z,i(u,y))))). given clause #430: (wt=2) 16142 [hyper,1,1006,13759] P(i(i(x,y),i(i(z,i(z,i(u,x))),i(z,i(u,y))))). given clause #431: (wt=2) 16145 [hyper,1,13325,13760] P(i(i(x,i(x,i(y,z))),i(i(u,y),i(u,i(x,z))))). given clause #432: (wt=2) 16154 [hyper,1,1192,13760] P(i(i(x,i(y,i(z,u))),i(i(y,z),i(y,i(x,u))))). given clause #433: (wt=2) 16155 [hyper,1,1006,13760] P(i(i(x,y),i(i(x,i(z,i(y,u))),i(x,i(z,u))))). given clause #434: (wt=2) 16188 [hyper,1,13325,13765] P(i(i(x,i(x,i(y,z))),i(i(u,x),i(y,i(u,z))))). given clause #435: (wt=2) 16197 [hyper,1,1192,13765] P(i(i(x,i(y,i(y,z))),i(i(u,x),i(y,i(u,z))))). given clause #436: (wt=2) 16198 [hyper,1,1006,13765] P(i(i(x,y),i(i(z,i(y,i(z,u))),i(z,i(x,u))))). given clause #437: (wt=2) 16209 [hyper,1,1006,13801] P(i(i(x,y),i(i(z,i(z,i(y,u))),i(z,i(x,u))))). given clause #438: (wt=2) 16251 [hyper,1,805,13845] P(i(i(x,i(y,z)),i(i(z,x),i(u,i(z,z))))). given clause #439: (wt=2) 16344 [hyper,1,1192,13875] P(i(i(x,i(y,n(y))),i(z,i(y,n(x))))). given clause #440: (wt=2) 16355 [hyper,1,13325,13937] P(i(i(x,i(x,i(x,y))),i(i(y,z),i(u,i(x,z))))). given clause #441: (wt=2) 16368 [hyper,1,1192,13937] P(i(i(x,i(y,i(x,z))),i(i(z,u),i(y,i(x,u))))). given clause #442: (wt=2) 16370 [hyper,1,1006,13937] P(i(i(x,y),i(i(z,i(u,i(u,x))),i(z,i(u,y))))). given clause #443: (wt=2) 16411 [hyper,1,1006,13968] P(i(i(x,y),i(i(x,i(z,i(y,u))),i(z,i(x,u))))). given clause #444: (wt=2) 16464 [hyper,1,1452,14055] P(i(i(x,i(i(y,y),z)),i(i(u,v),i(x,i(i(w,u),z))))). given clause #445: (wt=2) 16583 [hyper,1,13325,14641] P(i(i(x,i(x,n(y))),i(i(z,y),i(x,n(z))))). given clause #446: (wt=2) 16722 [hyper,1,90,14654] P(i(i(x,i(y,n(y))),i(i(z,y),i(x,n(z))))). given clause #447: (wt=2) 16822 [hyper,1,90,15542] P(i(i(x,i(i(y,z),u)),i(i(y,u),i(x,i(i(u,v),u))))). given clause #448: (wt=2) 16831 [hyper,1,15542,1075] P(i(i(i(n(n(x)),y),x),i(i(x,z),x))). given clause #449: (wt=2) 16903 [hyper,1,90,15677] P(i(i(x,i(i(y,z),u)),i(i(y,u),i(x,i(i(v,w),u))))). given clause #450: (wt=2) 16915 [hyper,1,15677,1075] P(i(i(i(n(n(x)),y),x),i(i(z,u),x))). given clause #451: (wt=2) 16943 [hyper,1,1680,15747] P(i(i(x,i(i(y,x),z)),i(i(u,v),i(y,i(i(y,x),z))))). given clause #452: (wt=2) 16986 [hyper,1,805,15749] P(i(i(x,i(y,x)),i(i(z,u),i(v,i(x,x))))). given clause #453: (wt=2) 17024 [hyper,1,13801,15831] P(i(i(x,y),i(i(z,i(z,i(z,u))),i(x,i(z,u))))). given clause #454: (wt=2) 17131 [hyper,1,1006,15837] P(i(i(x,y),i(i(x,i(x,i(y,z))),i(u,i(x,z))))). given clause #455: (wt=2) 17287 [hyper,1,1452,15846] P(i(i(x,i(y,i(y,z))),i(i(u,y),i(x,i(u,z))))). given clause #456: (wt=2) 17317 [hyper,1,1006,15847] P(i(i(x,y),i(i(y,i(y,i(x,z))),i(u,i(x,z))))). given clause #457: (wt=2) 17529 [hyper,1,9288,15857] P(i(i(x,i(x,i(x,y))),i(i(y,z),i(x,i(u,z))))). given clause #458: (wt=2) 17681 [hyper,1,9288,15872] P(i(i(x,i(y,i(y,z))),i(i(x,y),i(x,i(u,z))))). given clause #459: (wt=2) 17731 [hyper,1,9288,15876] P(i(i(x,i(x,i(x,y))),i(i(z,u),i(x,i(z,y))))). given clause #460: (wt=2) 17833 [hyper,1,3265,15880] P(i(i(x,i(y,z)),i(i(y,x),i(y,i(u,z))))). given clause #461: (wt=2) 17879 [hyper,1,10,15880] P(i(i(i(x,i(y,z)),u),i(i(x,i(x,z)),u))). given clause #462: (wt=2) 18005 [hyper,1,1006,15941] P(i(i(x,y),i(i(z,i(y,i(u,z))),i(z,i(u,z))))). given clause #463: (wt=2) 18019 [hyper,1,1006,15950] P(i(i(x,i(y,i(z,u))),i(i(u,y),i(u,i(z,u))))). given clause #464: (wt=2) 18047 [hyper,1,1006,16120] P(i(i(x,y),i(i(z,i(z,i(u,x))),i(u,i(z,y))))). given clause #465: (wt=2) 18076 [hyper,1,1006,16129] P(i(i(x,y),i(i(z,i(u,i(u,x))),i(u,i(z,y))))). given clause #466: (wt=2) 18244 [hyper,1,1006,16145] P(i(i(x,y),i(i(z,i(z,i(y,u))),i(x,i(z,u))))). given clause #467: (wt=2) 18250 [hyper,1,13325,16154] P(i(i(x,i(x,i(y,z))),i(i(x,y),i(x,i(u,z))))). given clause #468: (wt=2) 18264 [hyper,1,1006,16154] P(i(i(x,y),i(i(z,i(x,i(y,u))),i(x,i(z,u))))). given clause #469: (wt=2) 18265 [hyper,1,881,16154] P(i(i(x,i(y,z)),i(i(x,y),i(x,i(u,z))))). given clause #470: (wt=2) 18341 [hyper,1,1006,16188] P(i(i(x,y),i(i(y,i(y,i(z,u))),i(z,i(x,u))))). given clause #471: (wt=2) 18367 [hyper,1,1006,16197] P(i(i(x,y),i(i(y,i(z,i(z,u))),i(z,i(x,u))))). given clause #472: (wt=2) 18370 [hyper,1,81,16197] P(i(i(x,y),i(i(z,i(y,i(x,u))),i(x,i(z,u))))). given clause #473: (wt=2) 18496 [hyper,1,16197,16251] P(i(i(x,i(y,i(z,u))),i(i(u,y),i(x,i(u,u))))). given clause #474: (wt=2) 18499 [hyper,1,13325,16251] P(i(i(x,i(x,y)),i(i(y,z),i(u,i(y,y))))). given clause #475: (wt=2) 18541 [hyper,1,1192,16251] P(i(i(x,i(y,z)),i(i(z,y),i(u,i(z,z))))). given clause #476: (wt=2) 18568 [hyper,1,13325,16344] P(i(i(x,i(x,n(x))),i(y,i(x,n(z))))). given clause #477: (wt=2) 18652 [hyper,1,1006,16355] P(i(i(x,y),i(i(z,i(z,i(z,x))),i(u,i(z,y))))). given clause #478: (wt=2) 18659 [hyper,1,1680,16368] P(i(i(x,i(i(y,x),z)),i(i(z,u),i(y,i(i(y,x),u))))). given clause #479: (wt=2) 18662 [hyper,1,1006,16368] P(i(i(x,y),i(i(z,i(u,i(z,x))),i(u,i(z,y))))). given clause #480: (wt=2) 18875 [hyper,1,13325,16722] P(i(i(x,i(x,n(x))),i(i(y,x),i(z,n(y))))). given clause #481: (wt=2) 18911 [hyper,1,1192,16722] P(i(i(x,i(y,n(x))),i(i(z,x),i(y,n(z))))). given clause #482: (wt=2) 19140 [hyper,1,16197,16986] P(i(i(x,i(y,i(z,y))),i(i(u,v),i(x,i(y,y))))). given clause #483: (wt=2) 19153 [hyper,1,13325,16986] P(i(i(x,i(x,y)),i(i(z,u),i(v,i(y,y))))). given clause #484: (wt=2) 19156 [hyper,1,9368,16986] P(i(i(i(x,i(y,y)),z),i(i(y,i(u,y)),z))). given clause #485: (wt=2) 19168 [hyper,1,1192,16986] P(i(i(x,i(y,y)),i(i(z,u),i(v,i(y,y))))). given clause #486: (wt=2) 19173 [hyper,1,805,16986] P(i(i(x,i(y,z)),i(i(u,v),i(w,i(z,z))))). given clause #487: (wt=2) 19207 [hyper,1,13325,17287] P(i(i(x,i(x,i(x,y))),i(i(z,x),i(u,i(z,y))))). given clause #488: (wt=2) 19220 [hyper,1,1192,17287] P(i(i(x,i(y,i(x,z))),i(i(u,x),i(y,i(u,z))))). given clause #489: (wt=2) 19222 [hyper,1,1006,17287] P(i(i(x,y),i(i(z,i(y,i(y,u))),i(z,i(x,u))))). given clause #490: (wt=2) 19278 [hyper,1,1006,17529] P(i(i(x,y),i(i(z,i(z,i(z,x))),i(z,i(u,y))))). given clause #491: (wt=2) 19280 [hyper,1,13325,17681] P(i(i(x,i(x,i(x,y))),i(i(z,x),i(z,i(u,y))))). given clause #492: (wt=2) 19289 [hyper,1,1192,17681] P(i(i(x,i(y,i(x,z))),i(i(y,x),i(y,i(u,z))))). given clause #493: (wt=2) 19290 [hyper,1,1006,17681] P(i(i(x,y),i(i(x,i(y,i(y,z))),i(x,i(u,z))))). given clause #494: (wt=2) 19307 [hyper,1,1006,17731] P(i(i(x,y),i(i(z,i(z,i(z,u))),i(z,i(x,u))))). given clause #495: (wt=2) 19311 [hyper,1,13325,17833] P(i(i(x,i(x,y)),i(i(x,z),i(x,i(u,y))))). given clause #496: (wt=2) 19314 [hyper,1,9288,17833] P(i(i(x,i(y,i(x,z))),i(i(x,y),i(x,i(u,z))))). given clause #497: (wt=2) 19370 [hyper,1,17833,2008] P(i(i(x,i(y,n(x))),i(x,i(z,n(y))))). given clause #498: (wt=2) 19526 [hyper,1,16915,18005] P(i(i(x,y),i(i(z,i(u,i(v,z))),i(z,i(v,z))))). given clause #499: (wt=2) 19534 [hyper,1,17879,18019] P(i(i(x,i(x,i(y,z))),i(i(z,u),i(z,i(y,z))))). given clause #500: (wt=2) 19718 [hyper,1,1006,18250] P(i(i(x,y),i(i(x,i(x,i(y,z))),i(x,i(u,z))))). given clause #501: (wt=2) 19870 [hyper,1,1006,18370] P(i(i(x,i(y,i(z,u))),i(i(z,y),i(z,i(x,u))))). given clause #502: (wt=2) 20242 [hyper,1,9368,19153] P(i(i(i(x,i(y,y)),z),i(i(u,i(u,y)),z))). given clause #503: (wt=2) 20311 [hyper,1,9368,19168] P(i(i(i(x,i(y,y)),z),i(i(u,i(y,y)),z))). given clause #504: (wt=2) 20333 [hyper,1,9368,19173] P(i(i(i(x,i(y,y)),z),i(i(u,i(v,y)),z))). given clause #505: (wt=2) 20355 [hyper,1,1006,19207] P(i(i(x,y),i(i(y,i(y,i(y,z))),i(u,i(x,z))))). given clause #506: (wt=2) 20365 [hyper,1,1006,19220] P(i(i(x,y),i(i(y,i(z,i(y,u))),i(z,i(x,u))))). given clause #507: (wt=2) 20457 [hyper,1,1006,19280] P(i(i(x,y),i(i(y,i(y,i(y,z))),i(x,i(u,z))))). given clause #508: (wt=2) 20467 [hyper,1,1006,19289] P(i(i(x,y),i(i(y,i(x,i(y,z))),i(x,i(u,z))))). given clause #509: (wt=2) 20507 [hyper,1,13325,19314] P(i(i(x,i(x,i(y,z))),i(i(y,x),i(y,i(u,z))))). given clause #510: (wt=2) 20515 [hyper,1,1192,19314] P(i(i(x,i(y,i(y,z))),i(i(y,x),i(y,i(u,z))))). given clause #511: (wt=2) 20516 [hyper,1,1006,19314] P(i(i(x,y),i(i(x,i(y,i(x,z))),i(x,i(u,z))))). given clause #512: (wt=2) 20519 [hyper,1,17879,19370] P(i(i(x,i(x,n(x))),i(x,i(y,n(z))))). given clause #513: (wt=2) 20548 [hyper,1,1192,19370] P(i(i(x,i(y,n(y))),i(y,i(z,n(x))))). given clause #514: (wt=2) 20576 [hyper,1,13801,19526] P(i(i(x,y),i(i(y,i(z,i(u,y))),i(x,i(u,y))))). given clause #515: (wt=2) 20583 [hyper,1,1006,19534] P(i(i(x,y),i(i(z,i(z,i(u,x))),i(x,i(u,x))))). given clause #516: (wt=2) 20602 [hyper,1,17879,19870] P(i(i(x,i(x,i(y,z))),i(i(y,u),i(y,i(x,z))))). given clause #517: (wt=2) 20611 [hyper,1,1192,19870] P(i(i(x,i(y,i(z,u))),i(i(z,x),i(z,i(y,u))))). given clause #518: (wt=2) 20996 [hyper,1,1006,20507] P(i(i(x,y),i(i(y,i(y,i(x,z))),i(x,i(u,z))))). given clause #519: (wt=2) 21024 [hyper,1,1006,20515] P(i(i(x,y),i(i(y,i(x,i(x,z))),i(x,i(u,z))))). given clause #520: (wt=2) 21218 [hyper,1,1006,20611] P(i(i(x,y),i(i(y,i(z,i(x,u))),i(x,i(z,u))))). given clause #521: (wt=6) 1122 [hyper,1,963,174] P(n(n(i(x,x)))). given clause #522: (wt=8) 520 [hyper,1,519,519] P(i(x,i(y,i(z,z)))). given clause #523: (wt=8) 797 [hyper,1,270,716] P(i(x,i(y,i(z,y)))). given clause #524: (wt=8) 936 [hyper,1,881,808] P(i(x,i(y,i(z,x)))). -------- PROOF -------- 21576 [binary,21575.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 6.78 sec ----> 21576 [binary,21575.1,19.1] $ANS(neg_th_10). Length of proof is 44. Level of proof is 21. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 936 [hyper,1,881,808] P(i(x,i(y,i(z,x)))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1089 [hyper,1,10,961] P(i(i(i(n(x),y),z),i(i(n(y),x),z))). 1212 [hyper,1,1006,95] P(i(i(i(x,y),z),i(i(x,u),i(i(u,y),z)))). 1216 [hyper,1,1006,10] P(i(i(x,y),i(i(z,x),i(z,y)))). 1280 [hyper,1,1089,626] P(i(i(n(x),y),i(i(x,y),y))). 2155 [hyper,1,1212,1280] P(i(i(n(x),y),i(i(y,z),i(i(x,z),z)))). 3841 [hyper,1,1216,2155] P(i(i(x,i(n(y),z)),i(x,i(i(z,u),i(i(y,u),u))))). 21575 [hyper,1,3841,936] P(i(x,i(i(i(y,x),z),i(i(u,z),z)))). 21576 [binary,21575.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- given clause #525: (wt=8) 1078 [hyper,1,519,961] P(i(x,i(n(n(y)),y))). given clause #526: (wt=2) 21966 [hyper,1,7595,1078] P(i(i(i(n(n(x)),x),y),i(i(z,y),y))). given clause #527: (wt=8) 1142 [hyper,1,981,763] P(i(n(n(x)),i(y,x))). given clause #528: (wt=8) 1323 [hyper,1,763,1094] P(i(x,i(y,n(n(x))))). given clause #529: (wt=8) 1823 [hyper,1,1236,1236] P(n(n(i(x,n(n(x)))))). given clause #530: (wt=8) 1834 [hyper,1,961,1236] P(i(n(n(n(n(x)))),x)). given clause #531: (wt=8) 1836 [hyper,1,881,1236] P(i(x,n(n(i(y,x))))). given clause #532: (wt=8) 1837 [hyper,1,808,1236] P(i(x,i(y,n(n(y))))). given clause #533: (wt=8) 1845 [hyper,1,519,1236] P(i(x,n(n(i(y,y))))). given clause #534: (wt=8) 1880 [hyper,1,1236,1075] P(n(n(i(n(n(x)),x)))). given clause #535: (wt=8) 1890 [hyper,1,1236,808] P(n(n(i(x,i(y,x))))). given clause #536: (wt=8) 1909 [hyper,1,1236,503] P(n(n(i(x,i(y,y))))). given clause #537: (wt=8) 2140 [hyper,1,1277,1236] P(i(x,n(n(n(n(x)))))). given clause #538: (wt=8) 3736 [hyper,1,2008,1239] P(i(x,n(i(x,n(x))))). given clause #539: (wt=2) 23913 [hyper,1,671,3736] P(n(i(i(x,x),n(i(x,x))))). given clause #540: (wt=8) 21331 [hyper,1,1236,1122] P(n(n(n(n(i(x,x)))))). given clause #541: (wt=9) 518 [hyper,1,12,503] P(i(n(i(x,i(y,y))),z)). given clause #542: (wt=9) 540 [hyper,1,519,105] P(i(x,i(y,i(n(y),z)))). given clause #543: (wt=9) 701 [hyper,1,648,541] P(i(i(n(x),x),i(y,x))). given clause #544: (wt=9) 862 [hyper,1,626,808] P(i(i(i(x,n(y)),y),y)). given clause #545: (wt=9) 880 [hyper,1,12,808] P(i(n(i(x,i(y,x))),z)). given clause #546: (wt=9) 958 [hyper,1,881,12] P(i(x,i(n(i(y,x)),z))). given clause #547: (wt=9) 960 [hyper,1,808,938] P(i(x,i(n(y),i(y,z)))). given clause #548: (wt=9) 1104 [hyper,1,961,12] P(i(n(i(n(n(x)),y)),x)). given clause #549: (wt=9) 1138 [hyper,1,981,961] P(i(n(n(x)),i(n(y),x))). given clause #550: (wt=9) 1140 [hyper,1,981,881] P(i(n(i(x,y)),i(y,z))). given clause #551: (wt=9) 1141 [hyper,1,981,808] P(i(n(x),i(y,i(x,z)))). given clause #552: (wt=9) 1157 [hyper,1,981,174] P(i(n(n(n(i(x,x)))),y)). given clause #553: (wt=9) 1164 [hyper,1,981,102] P(i(n(n(i(n(x),x))),x)). given clause #554: (wt=9) 1255 [hyper,1,105,1075] P(i(x,i(n(n(n(x))),y))). given clause #555: (wt=9) 1260 [hyper,1,12,1075] P(i(n(i(n(n(x)),x)),y)). given clause #556: (wt=9) 1300 [hyper,1,808,1092] P(i(x,i(n(i(y,z)),y))). given clause #557: (wt=9) 1483 [hyper,1,1201,1075] P(i(i(n(x),n(n(x))),x)). given clause #558: (wt=9) 1833 [hyper,1,981,1236] P(i(n(x),n(n(i(x,y))))). given clause #559: (wt=9) 1841 [hyper,1,626,1236] P(i(i(n(n(n(x))),x),x)). given clause #560: (wt=9) 1862 [hyper,1,86,1236] P(i(x,n(n(i(n(x),y))))). given clause #561: (wt=9) 1863 [hyper,1,83,1236] P(i(i(n(x),x),n(n(x)))). given clause #562: (wt=9) 1865 [hyper,1,12,1236] P(i(n(i(x,n(n(x)))),y)). given clause #563: (wt=9) 1878 [hyper,1,1236,1092] P(n(n(i(n(i(x,y)),x)))). given clause #564: (wt=9) 1887 [hyper,1,1236,938] P(n(n(i(n(x),i(x,y))))). given clause #565: (wt=9) 1935 [hyper,1,1236,136] P(n(n(i(n(i(x,x)),y)))). given clause #566: (wt=9) 1952 [hyper,1,1236,12] P(n(n(i(x,i(n(x),y))))). given clause #567: (wt=9) 1953 [hyper,1,1236,11] P(n(n(i(i(n(x),x),x)))). given clause #568: (wt=9) 1969 [hyper,1,105,1239] P(i(x,i(i(x,n(x)),y))). given clause #569: (wt=9) 2064 [hyper,1,1261,1092] P(i(n(n(n(i(x,y)))),x)). given clause #570: (wt=9) 2071 [hyper,1,1261,938] P(i(n(n(n(x))),i(x,y))). given clause #571: (wt=9) 3633 [hyper,1,2005,938] P(i(n(i(x,y)),n(n(x)))). given clause #572: (wt=9) 3687 [hyper,1,2005,11] P(i(n(x),n(i(n(x),x)))). given clause #573: (wt=9) 5046 [hyper,1,2595,938] P(i(i(x,n(x)),i(x,y))). given clause #574: (wt=9) 8758 [hyper,1,981,4559] P(i(n(i(x,y)),i(z,x))). given clause #575: (wt=9) 10031 [hyper,1,5722,1006] P(i(n(i(x,i(y,z))),y)). given clause #576: (wt=10) 517 [hyper,1,90,503] P(i(i(x,y),i(z,i(x,y)))). given clause #577: (wt=10) 550 [hyper,1,86,525] P(i(x,i(y,i(i(z,x),x)))). given clause #578: (wt=10) 567 [hyper,1,526,503] P(i(x,i(i(i(y,y),z),z))). given clause #579: (wt=10) 685 [hyper,1,626,12] P(i(i(i(n(n(x)),y),x),x)). given clause #580: (wt=10) 795 [hyper,1,519,716] P(i(x,i(y,i(i(z,y),y)))). given clause #581: (wt=10) 944 [hyper,1,881,526] P(i(x,i(y,i(i(x,z),z)))). given clause #582: (wt=2) 27701 [hyper,1,1625,944] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(u),y),u))). given clause #583: (wt=10) 959 [hyper,1,881,10] P(i(x,i(i(x,y),i(z,y)))). -------- PROOF -------- 28030 [binary,28029.1,19.1] $ANS(neg_th_10). ----> UNIT CONFLICT at 8.19 sec ----> 28030 [binary,28029.1,19.1] $ANS(neg_th_10). Length of proof is 28. Level of proof is 16. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 19 [] -P(i(p,i(i(i(n(p),p),p),i(i(q,p),p))))|$ANS(neg_th_10). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 959 [hyper,1,881,10] P(i(x,i(i(x,y),i(z,y)))). 28029 [hyper,1,881,959] P(i(x,i(i(i(y,x),z),i(u,z)))). 28030 [binary,28029.1,19.1] $ANS(neg_th_10). ------------ end of proof ------------- given clause #584: (wt=10) 965 [hyper,1,526,938] P(i(x,i(i(i(y,z),y),y))). given clause #585: (wt=10) 980 [hyper,1,12,938] P(i(n(i(n(x),i(x,y))),z)). given clause #586: (wt=10) 984 [hyper,1,881,941] P(i(x,i(i(i(y,x),z),z))). given clause #587: (wt=10) 985 [hyper,1,808,941] P(i(x,i(y,i(i(y,z),z)))). given clause #588: (wt=10) 1015 [hyper,1,941,808] P(i(i(i(x,i(y,x)),z),z)). given clause #589: (wt=10) 1032 [hyper,1,941,503] P(i(i(i(x,i(y,y)),z),z)). given clause #590: (wt=10) 1091 [hyper,1,961,941] P(i(n(i(i(n(x),y),y)),x)). given clause #591: (wt=10) 1123 [hyper,1,981,981] P(i(n(i(x,y)),i(n(x),z))). given clause #592: (wt=10) 1166 [hyper,1,981,86] P(i(n(i(n(x),y)),i(x,z))). given clause #593: (wt=10) 1167 [hyper,1,981,83] P(i(n(x),i(i(n(x),x),y))). given clause #594: (wt=10) 1169 [hyper,1,981,12] P(i(n(x),i(n(i(x,y)),z))). given clause #595: (wt=10) 1172 [hyper,1,881,1006] P(i(i(x,y),i(x,i(z,y)))). given clause #596: (wt=10) 1195 [hyper,1,1006,961] P(i(n(x),i(i(n(y),x),y))). given clause #597: (wt=10) 1197 [hyper,1,1006,763] P(i(x,i(i(n(y),n(x)),y))). given clause #598: (wt=10) 1218 [hyper,1,981,1008] P(i(n(n(x)),i(i(x,y),y))). given clause #599: (wt=10) 1234 [hyper,1,1006,1075] P(i(x,i(n(n(i(x,y))),y))). given clause #600: (wt=10) 1235 [hyper,1,941,1075] P(i(i(i(n(n(x)),x),y),y)). given clause #601: (wt=10) 1242 [hyper,1,526,1075] P(i(x,i(i(y,n(y)),n(y)))). given clause #602: (wt=10) 1318 [hyper,1,12,1092] P(i(n(i(n(i(x,y)),x)),z)). given clause #603: (wt=10) 1322 [hyper,1,808,1094] P(i(x,i(n(i(y,n(z))),z))). given clause #604: (wt=10) 1345 [hyper,1,1006,1119] P(i(x,i(i(x,i(x,y)),y))). given clause #605: (wt=10) 1522 [hyper,1,1201,11] P(i(i(n(x),i(n(x),x)),x)). given clause #606: (wt=10) 1692 [hyper,1,1216,1075] P(i(i(x,n(n(y))),i(x,y))). given clause #607: (wt=10) 1825 [hyper,1,1216,1236] P(i(i(x,y),i(x,n(n(y))))). given clause #608: (wt=10) 1835 [hyper,1,941,1236] P(i(i(i(x,n(n(x))),y),y)). given clause #609: (wt=10) 1877 [hyper,1,1236,1094] P(n(n(i(n(i(x,n(y))),y)))). given clause #610: (wt=10) 1884 [hyper,1,1236,963] P(n(n(i(i(i(x,y),x),x)))). given clause #611: (wt=10) 1886 [hyper,1,1236,941] P(n(n(i(x,i(i(x,y),y))))). given clause #612: (wt=10) 1894 [hyper,1,1236,671] P(n(n(i(i(i(x,x),y),y)))). given clause #613: (wt=10) 1955 [hyper,1,1236,1239] P(n(n(i(i(x,n(x)),n(x))))). given clause #614: (wt=10) 2051 [hyper,1,1261,1239] P(i(n(n(i(x,n(x)))),n(x))). given clause #615: (wt=10) 2063 [hyper,1,1261,1094] P(i(n(n(n(i(x,n(y))))),y)). given clause #616: (wt=10) 2069 [hyper,1,1261,963] P(i(n(n(i(i(x,y),x))),x)). given clause #617: (wt=10) 2075 [hyper,1,1261,671] P(i(n(n(i(i(x,x),y))),y)). -------- PROOF -------- 32258 [binary,32257.1,80.1] $ANS(neg_th_71). ----> UNIT CONFLICT at 9.21 sec ----> 32258 [binary,32257.1,80.1] $ANS(neg_th_71). Length of proof is 43. Level of proof is 20. ---------------- PROOF ---------------- 1 [] -P(i(x,y))| -P(x)|P(y). 10 [] P(i(i(x,y),i(i(y,z),i(x,z)))). 11 [] P(i(i(n(x),x),x)). 12 [] P(i(x,i(n(x),y))). 80 [] -P(n(i(i(p,p),n(i(q,q)))))|$ANS(neg_th_71). 81 [hyper,1,10,10] P(i(i(i(i(x,y),i(z,y)),u),i(i(z,x),u))). 83 [hyper,1,10,11] P(i(i(x,y),i(i(n(x),x),y))). 86 [hyper,1,10,12] P(i(i(i(n(x),y),z),i(x,z))). 90 [hyper,1,81,81] P(i(i(x,i(y,z)),i(i(u,y),i(x,i(u,z))))). 95 [hyper,1,81,10] P(i(i(x,y),i(i(i(x,z),u),i(i(y,z),u)))). 101 [hyper,1,83,12] P(i(i(n(x),x),i(n(x),y))). 105 [hyper,1,81,86] P(i(i(x,n(y)),i(y,i(x,z)))). 110 [hyper,1,86,11] P(i(x,x)). 122 [hyper,1,90,95] P(i(i(x,i(i(y,z),u)),i(i(y,v),i(x,i(i(v,z),u))))). 135 [hyper,1,10,101] P(i(i(i(n(x),y),z),i(i(n(x),x),z))). 136 [hyper,1,12,110] P(i(n(i(x,x)),y)). 151 [hyper,1,122,83] P(i(i(n(x),y),i(i(x,z),i(i(y,x),z)))). 177 [hyper,1,135,151] P(i(i(n(x),x),i(i(x,y),i(i(z,x),y)))). 182 [hyper,1,10,151] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),z),u))). 188 [hyper,1,10,177] P(i(i(i(i(x,y),i(i(z,x),y)),u),i(i(n(x),x),u))). 253 [hyper,1,105,136] P(i(x,i(n(i(y,y)),z))). 292 [hyper,1,10,253] P(i(i(i(n(i(x,x)),y),z),i(u,z))). 503 [hyper,1,292,11] P(i(x,i(y,y))). 519 [hyper,1,10,503] P(i(i(i(x,x),y),i(z,y))). 525 [hyper,1,188,519] P(i(i(n(x),x),i(y,i(i(z,x),x)))). 526 [hyper,1,182,519] P(i(i(n(x),y),i(z,i(i(y,x),x)))). 541 [hyper,1,519,83] P(i(x,i(i(n(y),y),y))). 554 [hyper,1,10,525] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),z),u))). 565 [hyper,1,10,526] P(i(i(i(x,i(i(y,z),z)),u),i(i(n(z),y),u))). 612 [hyper,1,554,11] P(i(i(n(x),x),i(i(y,x),x))). 626 [hyper,1,565,11] P(i(i(n(x),y),i(i(y,x),x))). 649 [hyper,1,86,612] P(i(x,i(i(y,x),x))). 665 [hyper,1,90,626] P(i(i(x,i(y,z)),i(i(n(z),y),i(x,z)))). 671 [hyper,1,626,503] P(i(i(i(x,x),y),y)). 716 [hyper,1,90,649] P(i(i(x,i(y,z)),i(z,i(x,z)))). 763 [hyper,1,665,12] P(i(i(n(x),n(y)),i(y,x))). 808 [hyper,1,716,541] P(i(x,i(y,x))). 881 [hyper,1,10,808] P(i(i(i(x,y),z),i(y,z))). 938 [hyper,1,881,763] P(i(n(x),i(x,y))). 941 [hyper,1,881,626] P(i(x,i(i(x,y),y))). 961 [hyper,1,665,938] P(i(i(n(x),y),i(n(y),x))). 1006 [hyper,1,90,941] P(i(i(x,i(y,z)),i(y,i(x,z)))). 1075 [hyper,1,671,961] P(i(n(n(x)),x)). 1201 [hyper,1,1006,626] P(i(i(x,y),i(i(n(y),x),y))). 1261 [hyper,1,10,1075] P(i(i(x,y),i(n(n(x)),y))). 1511 [hyper,1,1201,136] P(i(i(n(x),n(i(y,y))),x)). 2075 [hyper,1,1261,671] P(i(n(n(i(i(x,x),y))),y)). 32257 [hyper,1,1511,2075] P(n(i(i(x,x),n(i(y,y))))). 32258 [binary,32257.1,80.1] $ANS(neg_th_71). ------------ end of proof ------------- given clause #618: (wt=2) 32257 [hyper,1,1511,2075] P(n(i(i(x,x),n(i(y,y))))). Search stopped by max_given option. Search stopped by max_given option. ============ end of search ============ -------------- statistics ------------- clauses given 618 clauses generated 220845 hyper_res generated 220845 demod & eval rewrites 0 clauses wt,lit,sk delete 112070 tautologies deleted 0 clauses forward subsumed 76607 (subsumed by sos) 47139 unit deletions 0 factor simplifications 0 clauses kept 32160 new demodulators 0 empty clauses 82 clauses back demodulated 0 clauses back subsumed 0 usable size 627 sos size 31545 demodulators size 0 passive size 68 hot size 0 Kbytes malloced 15487 ----------- times (seconds) ----------- user CPU time 9.22 (0 hr, 0 min, 9 sec) system CPU time 1.61 (0 hr, 0 min, 1 sec) wall-clock time 11 (0 hr, 0 min, 11 sec) input time 0.00 clausify time 0.00 pick given time 1.96 hyper_res time 1.28 pre_process time 5.70 renumber time 0.37 demod time 0.00 order equalities 0.00 unit deleletion 0.00 factor simplify 0.00 weigh cl time 2.19 hints keep time 0.00 sort lits time 0.00 forward subsume 0.86 delete cl time 0.28 keep cl time 1.16 hints time 0.00 print_cl time 0.00 conflict time 0.25 new demod time 0.00 post_process time 0.00 back demod time 0.00 back subsume 0.00 factor time 0.00 unindex time 0.00 That finishes the proof of the theorem. Process 5982 finished Wed Aug 6 14:26:37 2003