0.06/0.13 % Problem : Vampire---4.8_29561 : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.35 % Computer : n019.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 13:04:20 EDT 2023 0.15/0.35 % CPUTime : 0.15/0.36 This is a THF_ problem 0.15/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.sDKTHlq9up/Vampire---4.8_29561 -m 12000 -t 180 0.15/0.38 % (29671)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.15/0.38 % (29669)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.15/0.38 % (29670)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.15/0.38 % (29672)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.15/0.38 % (29673)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.15/0.38 % (29674)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.15/0.38 % (29675)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.15/0.38 % (29676)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.15/0.38 % (29675)Instruction limit reached! 0.15/0.38 % (29675)------------------------------ 0.15/0.38 % (29675)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (29675)Termination reason: Unknown 0.15/0.38 % (29675)Termination phase: Property scanning 0.15/0.38 0.15/0.38 % (29675)Memory used [KB]: 1023 0.15/0.38 % (29675)Time elapsed: 0.004 s 0.15/0.38 % (29675)Instructions burned: 4 (million) 0.15/0.38 % (29675)------------------------------ 0.15/0.38 % (29675)------------------------------ 0.15/0.39 % (29673)Instruction limit reached! 0.15/0.39 % (29673)------------------------------ 0.15/0.39 % (29673)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (29673)Termination reason: Unknown 0.15/0.39 % (29673)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (29673)Memory used [KB]: 5756 0.15/0.39 % (29673)Time elapsed: 0.013 s 0.15/0.39 % (29673)Instructions burned: 17 (million) 0.15/0.39 % (29673)------------------------------ 0.15/0.39 % (29673)------------------------------ 0.22/0.39 % (29677)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.22/0.40 % (29671)Instruction limit reached! 0.22/0.40 % (29671)------------------------------ 0.22/0.40 % (29671)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.40 % (29671)Termination reason: Unknown 0.22/0.40 % (29671)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (29671)Memory used [KB]: 5628 0.22/0.40 % (29671)Time elapsed: 0.023 s 0.22/0.40 % (29671)Instructions burned: 34 (million) 0.22/0.40 % (29671)------------------------------ 0.22/0.40 % (29671)------------------------------ 0.22/0.40 % (29670)Instruction limit reached! 0.22/0.40 % (29670)------------------------------ 0.22/0.40 % (29670)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.40 % (29670)Termination reason: Unknown 0.22/0.40 % (29670)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (29670)Memory used [KB]: 5756 0.22/0.40 % (29670)Time elapsed: 0.025 s 0.22/0.40 % (29670)Instructions burned: 36 (million) 0.22/0.40 % (29670)------------------------------ 0.22/0.40 % (29670)------------------------------ 0.22/0.40 % (29678)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.41 % (29678)Instruction limit reached! 0.22/0.41 % (29678)------------------------------ 0.22/0.41 % (29678)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (29678)Termination reason: Unknown 0.22/0.41 % (29678)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (29678)Memory used [KB]: 5500 0.22/0.41 % (29678)Time elapsed: 0.006 s 0.22/0.41 % (29678)Instructions burned: 7 (million) 0.22/0.41 % (29678)------------------------------ 0.22/0.41 % (29678)------------------------------ 0.22/0.41 % (29677)Instruction limit reached! 0.22/0.41 % (29677)------------------------------ 0.22/0.41 % (29677)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (29677)Termination reason: Unknown 0.22/0.41 % (29677)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (29677)Memory used [KB]: 5628 0.22/0.41 % (29677)Time elapsed: 0.016 s 0.22/0.41 % (29677)Instructions burned: 22 (million) 0.22/0.41 % (29677)------------------------------ 0.22/0.41 % (29677)------------------------------ 0.22/0.41 % (29679)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.22/0.41 % (29680)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.22/0.42 % (29674)Instruction limit reached! 0.22/0.42 % (29674)------------------------------ 0.22/0.42 % (29674)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.42 % (29674)Termination reason: Unknown 0.22/0.42 % (29674)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (29674)Memory used [KB]: 5884 0.22/0.42 % (29674)Time elapsed: 0.043 s 0.22/0.42 % (29674)Instructions burned: 75 (million) 0.22/0.42 % (29674)------------------------------ 0.22/0.42 % (29674)------------------------------ 0.22/0.42 % (29681)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.22/0.42 % (29682)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.22/0.43 % (29681)Instruction limit reached! 0.22/0.43 % (29681)------------------------------ 0.22/0.43 % (29681)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (29681)Termination reason: Unknown 0.22/0.43 % (29681)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (29681)Memory used [KB]: 5628 0.22/0.43 % (29681)Time elapsed: 0.007 s 0.22/0.43 % (29681)Instructions burned: 9 (million) 0.22/0.43 % (29681)------------------------------ 0.22/0.43 % (29681)------------------------------ 0.22/0.43 % (29683)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.22/0.44 % (29669)Instruction limit reached! 0.22/0.44 % (29669)------------------------------ 0.22/0.44 % (29669)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (29669)Termination reason: Unknown 0.22/0.44 % (29669)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (29669)Memory used [KB]: 5756 0.22/0.44 % (29669)Time elapsed: 0.063 s 0.22/0.44 % (29669)Instructions burned: 97 (million) 0.22/0.44 % (29669)------------------------------ 0.22/0.44 % (29669)------------------------------ 0.22/0.44 % (29684)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.22/0.46 % (29685)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.22/0.46 % (29680)Instruction limit reached! 0.22/0.46 % (29680)------------------------------ 0.22/0.46 % (29680)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (29680)Termination reason: Unknown 0.22/0.46 % (29680)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (29680)Memory used [KB]: 5884 0.22/0.46 % (29680)Time elapsed: 0.049 s 0.22/0.46 % (29680)Instructions burned: 71 (million) 0.22/0.46 % (29680)------------------------------ 0.22/0.46 % (29680)------------------------------ 0.22/0.47 % (29685)Instruction limit reached! 0.22/0.47 % (29685)------------------------------ 0.22/0.47 % (29685)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (29685)Termination reason: Unknown 0.22/0.47 % (29685)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (29685)Memory used [KB]: 5628 0.22/0.47 % (29685)Time elapsed: 0.016 s 0.22/0.47 % (29685)Instructions burned: 14 (million) 0.22/0.47 % (29685)------------------------------ 0.22/0.47 % (29685)------------------------------ 0.22/0.47 % (29686)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.22/0.48 % (29686)Instruction limit reached! 0.22/0.48 % (29686)------------------------------ 0.22/0.48 % (29686)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (29686)Termination reason: Unknown 0.22/0.48 % (29686)Termination phase: shuffling 0.22/0.48 0.22/0.48 % (29686)Memory used [KB]: 1023 0.22/0.48 % (29686)Time elapsed: 0.003 s 0.22/0.48 % (29686)Instructions burned: 2 (million) 0.22/0.48 % (29686)------------------------------ 0.22/0.48 % (29686)------------------------------ 0.22/0.48 % (29684)Instruction limit reached! 0.22/0.48 % (29684)------------------------------ 0.22/0.48 % (29684)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (29684)Termination reason: Unknown 0.22/0.48 % (29684)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (29684)Memory used [KB]: 5884 0.22/0.48 % (29684)Time elapsed: 0.040 s 0.22/0.48 % (29684)Instructions burned: 61 (million) 0.22/0.48 % (29684)------------------------------ 0.22/0.48 % (29684)------------------------------ 0.22/0.48 % (29687)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1798ds/1041Mi) 0.22/0.49 % (29688)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.22/0.49 % (29689)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 0.22/0.50 % (29688)Instruction limit reached! 0.22/0.50 % (29688)------------------------------ 0.22/0.50 % (29688)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (29688)Termination reason: Unknown 0.22/0.50 % (29688)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (29688)Memory used [KB]: 5500 0.22/0.50 % (29688)Time elapsed: 0.007 s 0.22/0.50 % (29688)Instructions burned: 11 (million) 0.22/0.50 % (29688)------------------------------ 0.22/0.50 % (29688)------------------------------ 0.22/0.51 % (29683)Instruction limit reached! 0.22/0.51 % (29683)------------------------------ 0.22/0.51 % (29683)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (29683)Termination reason: Unknown 0.22/0.51 % (29683)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (29683)Memory used [KB]: 5884 0.22/0.51 % (29683)Time elapsed: 0.076 s 0.22/0.51 % (29683)Instructions burned: 128 (million) 0.22/0.51 % (29683)------------------------------ 0.22/0.51 % (29683)------------------------------ 0.22/0.51 % (29690)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 1.32/0.51 % (29690)Instruction limit reached! 1.32/0.51 % (29690)------------------------------ 1.32/0.51 % (29690)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.32/0.51 % (29690)Termination reason: Unknown 1.32/0.51 % (29690)Termination phase: Saturation 1.32/0.51 1.32/0.51 % (29690)Memory used [KB]: 5628 1.32/0.51 % (29690)Time elapsed: 0.009 s 1.32/0.51 % (29690)Instructions burned: 28 (million) 1.32/0.51 % (29690)------------------------------ 1.32/0.51 % (29690)------------------------------ 1.32/0.51 % (29691)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 1.32/0.52 % (29692)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 1.44/0.54 % (29691)Instruction limit reached! 1.44/0.54 % (29691)------------------------------ 1.44/0.54 % (29691)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.44/0.54 % (29691)Termination reason: Unknown 1.44/0.54 % (29691)Termination phase: Saturation 1.44/0.54 1.44/0.54 % (29691)Memory used [KB]: 1279 1.44/0.54 % (29691)Time elapsed: 0.023 s 1.44/0.54 % (29691)Instructions burned: 56 (million) 1.44/0.54 % (29691)------------------------------ 1.44/0.54 % (29691)------------------------------ 1.44/0.54 % (29689)Instruction limit reached! 1.44/0.54 % (29689)------------------------------ 1.44/0.54 % (29689)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.44/0.54 % (29689)Termination reason: Unknown 1.44/0.54 % (29689)Termination phase: Saturation 1.44/0.54 1.44/0.54 % (29689)Memory used [KB]: 6140 1.44/0.54 % (29689)Time elapsed: 0.054 s 1.44/0.54 % (29689)Instructions burned: 142 (million) 1.44/0.54 % (29689)------------------------------ 1.44/0.54 % (29689)------------------------------ 1.44/0.54 % (29693)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 1.44/0.55 % (29693)Instruction limit reached! 1.44/0.55 % (29693)------------------------------ 1.44/0.55 % (29693)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.44/0.55 % (29693)Termination reason: Unknown 1.44/0.55 % (29693)Termination phase: Preprocessing 3 1.44/0.55 1.44/0.55 % (29693)Memory used [KB]: 1023 1.44/0.55 % (29693)Time elapsed: 0.002 s 1.44/0.55 % (29693)Instructions burned: 3 (million) 1.44/0.55 % (29693)------------------------------ 1.44/0.55 % (29693)------------------------------ 1.44/0.55 % (29672)First to succeed. 1.44/0.55 % (29672)Refutation found. Thanks to Tanya! 1.44/0.55 % SZS status Theorem for Vampire---4 1.44/0.55 % SZS output start Proof for Vampire---4 1.44/0.55 thf(type_def_5, type, a: $tType). 1.44/0.55 thf(func_def_0, type, a: $tType). 1.44/0.55 thf(func_def_4, type, sK0: a > a > a). 1.44/0.55 thf(func_def_5, type, sK1: a > a > a). 1.44/0.55 thf(func_def_6, type, sK2: a). 1.44/0.55 thf(func_def_7, type, sK3: a). 1.44/0.55 thf(func_def_8, type, sK4: a). 1.44/0.55 thf(func_def_9, type, sK5: a). 1.44/0.55 thf(func_def_10, type, sK6: a). 1.44/0.55 thf(f1218,plain,( 1.44/0.55 $false), 1.44/0.55 inference(subsumption_resolution,[],[f1217,f128])). 1.44/0.55 thf(f128,plain,( 1.44/0.55 (sK2 != (sK1 @ sK2 @ sK3))), 1.44/0.55 inference(superposition,[],[f67,f83])). 1.44/0.55 thf(f83,plain,( 1.44/0.55 ((sK1 @ sK3 @ sK6) = (sK1 @ sK2 @ sK3))), 1.44/0.55 inference(forward_demodulation,[],[f72,f13])). 1.44/0.55 thf(f13,plain,( 1.44/0.55 ( ! [X21 : a,X22 : a] : (((sK1 @ X21 @ X22) = (sK1 @ X22 @ X21))) )), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f10,plain,( 1.44/0.55 ! [X2 : a,X3 : a,X4 : a] : ((sK1 @ X2 @ (sK0 @ X4 @ X3)) = (sK0 @ (sK1 @ X2 @ X4) @ (sK1 @ X2 @ X3))) & ! [X5 : a,X6 : a] : ((sK0 @ X5 @ X6) = (sK0 @ X6 @ X5)) & ! [X7 : a,X8 : a,X9 : a] : ((sK0 @ X8 @ (sK0 @ X7 @ X9)) = (sK0 @ (sK0 @ X8 @ X7) @ X9)) & ! [X10 : a,X11 : a,X12 : a] : ((sK1 @ (sK1 @ X11 @ X10) @ X12) = (sK1 @ X11 @ (sK1 @ X10 @ X12))) & ! [X13 : a] : ((sK0 @ X13 @ X13) = X13) & ((sK2 != sK3) & (sK5 = (sK1 @ sK6 @ sK5)) & ((sK0 @ sK2 @ sK6) = sK4) & (sK2 = (sK1 @ sK4 @ sK2)) & (sK5 != sK6) & ((sK0 @ sK4 @ sK6) = sK4) & (sK5 != sK3) & (sK6 != sK4) & (sK3 != sK4) & (sK2 != sK4) & ((sK1 @ sK2 @ sK5) = sK5) & ((sK0 @ sK4 @ sK5) = sK4) & ((sK1 @ sK4 @ sK3) = sK3) & ((sK0 @ sK4 @ sK3) = sK4) & (sK5 = (sK1 @ sK4 @ sK5)) & ((sK0 @ sK3 @ sK5) = sK3) & (sK5 = (sK1 @ sK3 @ sK6)) & (sK2 != sK6) & (sK5 = (sK1 @ sK2 @ sK6)) & ((sK0 @ sK4 @ sK2) = sK4) & (sK6 != sK3) & ((sK0 @ sK3 @ sK6) = sK4) & (sK2 != sK5) & (sK2 = (sK0 @ sK2 @ sK5)) & ((sK0 @ sK3 @ sK2) = sK4) & (sK6 = (sK0 @ sK6 @ sK5)) & ((sK1 @ sK3 @ sK5) = sK5) & ((sK1 @ sK3 @ sK2) = sK5) & (sK5 != sK4) & ((sK1 @ sK4 @ sK6) = sK6)) & ! [X19 : a,X20 : a] : ((sK1 @ (sK0 @ X19 @ X20) @ X20) = X20) & ! [X21 : a,X22 : a] : ((sK1 @ X21 @ X22) = (sK1 @ X22 @ X21)) & ! [X23 : a,X24 : a] : ((sK0 @ (sK1 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((sK1 @ X25 @ X25) = X25)), 1.44/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8])). 1.44/0.55 thf(f8,plain,( 1.44/0.55 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X0 @ (X1 @ X2 @ X4) @ (X1 @ X2 @ X3)) = (X1 @ X2 @ (X0 @ X4 @ X3))) & ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) = (X0 @ X6 @ X5)) & ! [X7 : a,X8 : a,X9 : a] : ((X0 @ X8 @ (X0 @ X7 @ X9)) = (X0 @ (X0 @ X8 @ X7) @ X9)) & ! [X10 : a,X11 : a,X12 : a] : ((X1 @ (X1 @ X11 @ X10) @ X12) = (X1 @ X11 @ (X1 @ X10 @ X12))) & ! [X13 : a] : ((X0 @ X13 @ X13) = X13) & ? [X14 : a,X15 : a,X16 : a,X17 : a,X18 : a] : ((X14 != X15) & ((X1 @ X18 @ X17) = X17) & ((X0 @ X14 @ X18) = X16) & ((X1 @ X16 @ X14) = X14) & (X17 != X18) & ((X0 @ X16 @ X18) = X16) & (X15 != X17) & (X16 != X18) & (X15 != X16) & (X14 != X16) & ((X1 @ X14 @ X17) = X17) & ((X0 @ X16 @ X17) = X16) & ((X1 @ X16 @ X15) = X15) & ((X0 @ X16 @ X15) = X16) & ((X1 @ X16 @ X17) = X17) & ((X0 @ X15 @ X17) = X15) & ((X1 @ X15 @ X18) = X17) & (X14 != X18) & ((X1 @ X14 @ X18) = X17) & ((X0 @ X16 @ X14) = X16) & (X15 != X18) & ((X0 @ X15 @ X18) = X16) & (X14 != X17) & ((X0 @ X14 @ X17) = X14) & ((X0 @ X15 @ X14) = X16) & ((X0 @ X18 @ X17) = X18) & ((X1 @ X15 @ X17) = X17) & ((X1 @ X15 @ X14) = X17) & (X16 != X17) & ((X1 @ X16 @ X18) = X18)) & ! [X19 : a,X20 : a] : ((X1 @ (X0 @ X19 @ X20) @ X20) = X20) & ! [X21 : a,X22 : a] : ((X1 @ X21 @ X22) = (X1 @ X22 @ X21)) & ! [X23 : a,X24 : a] : ((X0 @ (X1 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((X1 @ X25 @ X25) = X25)) => (! [X4 : a,X3 : a,X2 : a] : ((sK1 @ X2 @ (sK0 @ X4 @ X3)) = (sK0 @ (sK1 @ X2 @ X4) @ (sK1 @ X2 @ X3))) & ! [X6 : a,X5 : a] : ((sK0 @ X5 @ X6) = (sK0 @ X6 @ X5)) & ! [X9 : a,X8 : a,X7 : a] : ((sK0 @ X8 @ (sK0 @ X7 @ X9)) = (sK0 @ (sK0 @ X8 @ X7) @ X9)) & ! [X12 : a,X11 : a,X10 : a] : ((sK1 @ (sK1 @ X11 @ X10) @ X12) = (sK1 @ X11 @ (sK1 @ X10 @ X12))) & ! [X13 : a] : ((sK0 @ X13 @ X13) = X13) & ? [X18 : a,X17 : a,X16 : a,X15 : a,X14 : a] : ((X14 != X15) & ((sK1 @ X18 @ X17) = X17) & ((sK0 @ X14 @ X18) = X16) & ((sK1 @ X16 @ X14) = X14) & (X17 != X18) & ((sK0 @ X16 @ X18) = X16) & (X15 != X17) & (X16 != X18) & (X15 != X16) & (X14 != X16) & ((sK1 @ X14 @ X17) = X17) & ((sK0 @ X16 @ X17) = X16) & ((sK1 @ X16 @ X15) = X15) & ((sK0 @ X16 @ X15) = X16) & ((sK1 @ X16 @ X17) = X17) & ((sK0 @ X15 @ X17) = X15) & ((sK1 @ X15 @ X18) = X17) & (X14 != X18) & ((sK1 @ X14 @ X18) = X17) & ((sK0 @ X16 @ X14) = X16) & (X15 != X18) & ((sK0 @ X15 @ X18) = X16) & (X14 != X17) & ((sK0 @ X14 @ X17) = X14) & ((sK0 @ X15 @ X14) = X16) & ((sK0 @ X18 @ X17) = X18) & ((sK1 @ X15 @ X17) = X17) & ((sK1 @ X15 @ X14) = X17) & (X16 != X17) & ((sK1 @ X16 @ X18) = X18)) & ! [X20 : a,X19 : a] : ((sK1 @ (sK0 @ X19 @ X20) @ X20) = X20) & ! [X22 : a,X21 : a] : ((sK1 @ X21 @ X22) = (sK1 @ X22 @ X21)) & ! [X24 : a,X23 : a] : ((sK0 @ (sK1 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((sK1 @ X25 @ X25) = X25))), 1.44/0.55 introduced(choice_axiom,[])). 1.44/0.55 thf(f9,plain,( 1.44/0.55 ? [X18 : a,X17 : a,X16 : a,X15 : a,X14 : a] : ((X14 != X15) & ((sK1 @ X18 @ X17) = X17) & ((sK0 @ X14 @ X18) = X16) & ((sK1 @ X16 @ X14) = X14) & (X17 != X18) & ((sK0 @ X16 @ X18) = X16) & (X15 != X17) & (X16 != X18) & (X15 != X16) & (X14 != X16) & ((sK1 @ X14 @ X17) = X17) & ((sK0 @ X16 @ X17) = X16) & ((sK1 @ X16 @ X15) = X15) & ((sK0 @ X16 @ X15) = X16) & ((sK1 @ X16 @ X17) = X17) & ((sK0 @ X15 @ X17) = X15) & ((sK1 @ X15 @ X18) = X17) & (X14 != X18) & ((sK1 @ X14 @ X18) = X17) & ((sK0 @ X16 @ X14) = X16) & (X15 != X18) & ((sK0 @ X15 @ X18) = X16) & (X14 != X17) & ((sK0 @ X14 @ X17) = X14) & ((sK0 @ X15 @ X14) = X16) & ((sK0 @ X18 @ X17) = X18) & ((sK1 @ X15 @ X17) = X17) & ((sK1 @ X15 @ X14) = X17) & (X16 != X17) & ((sK1 @ X16 @ X18) = X18)) => ((sK2 != sK3) & (sK5 = (sK1 @ sK6 @ sK5)) & ((sK0 @ sK2 @ sK6) = sK4) & (sK2 = (sK1 @ sK4 @ sK2)) & (sK5 != sK6) & ((sK0 @ sK4 @ sK6) = sK4) & (sK5 != sK3) & (sK6 != sK4) & (sK3 != sK4) & (sK2 != sK4) & ((sK1 @ sK2 @ sK5) = sK5) & ((sK0 @ sK4 @ sK5) = sK4) & ((sK1 @ sK4 @ sK3) = sK3) & ((sK0 @ sK4 @ sK3) = sK4) & (sK5 = (sK1 @ sK4 @ sK5)) & ((sK0 @ sK3 @ sK5) = sK3) & (sK5 = (sK1 @ sK3 @ sK6)) & (sK2 != sK6) & (sK5 = (sK1 @ sK2 @ sK6)) & ((sK0 @ sK4 @ sK2) = sK4) & (sK6 != sK3) & ((sK0 @ sK3 @ sK6) = sK4) & (sK2 != sK5) & (sK2 = (sK0 @ sK2 @ sK5)) & ((sK0 @ sK3 @ sK2) = sK4) & (sK6 = (sK0 @ sK6 @ sK5)) & ((sK1 @ sK3 @ sK5) = sK5) & ((sK1 @ sK3 @ sK2) = sK5) & (sK5 != sK4) & ((sK1 @ sK4 @ sK6) = sK6))), 1.44/0.55 introduced(choice_axiom,[])). 1.44/0.55 thf(f7,plain,( 1.44/0.55 ? [X0 : a > a > a,X1 : a > a > a] : (! [X2 : a,X3 : a,X4 : a] : ((X0 @ (X1 @ X2 @ X4) @ (X1 @ X2 @ X3)) = (X1 @ X2 @ (X0 @ X4 @ X3))) & ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6) = (X0 @ X6 @ X5)) & ! [X7 : a,X8 : a,X9 : a] : ((X0 @ X8 @ (X0 @ X7 @ X9)) = (X0 @ (X0 @ X8 @ X7) @ X9)) & ! [X10 : a,X11 : a,X12 : a] : ((X1 @ (X1 @ X11 @ X10) @ X12) = (X1 @ X11 @ (X1 @ X10 @ X12))) & ! [X13 : a] : ((X0 @ X13 @ X13) = X13) & ? [X14 : a,X15 : a,X16 : a,X17 : a,X18 : a] : ((X14 != X15) & ((X1 @ X18 @ X17) = X17) & ((X0 @ X14 @ X18) = X16) & ((X1 @ X16 @ X14) = X14) & (X17 != X18) & ((X0 @ X16 @ X18) = X16) & (X15 != X17) & (X16 != X18) & (X15 != X16) & (X14 != X16) & ((X1 @ X14 @ X17) = X17) & ((X0 @ X16 @ X17) = X16) & ((X1 @ X16 @ X15) = X15) & ((X0 @ X16 @ X15) = X16) & ((X1 @ X16 @ X17) = X17) & ((X0 @ X15 @ X17) = X15) & ((X1 @ X15 @ X18) = X17) & (X14 != X18) & ((X1 @ X14 @ X18) = X17) & ((X0 @ X16 @ X14) = X16) & (X15 != X18) & ((X0 @ X15 @ X18) = X16) & (X14 != X17) & ((X0 @ X14 @ X17) = X14) & ((X0 @ X15 @ X14) = X16) & ((X0 @ X18 @ X17) = X18) & ((X1 @ X15 @ X17) = X17) & ((X1 @ X15 @ X14) = X17) & (X16 != X17) & ((X1 @ X16 @ X18) = X18)) & ! [X19 : a,X20 : a] : ((X1 @ (X0 @ X19 @ X20) @ X20) = X20) & ! [X21 : a,X22 : a] : ((X1 @ X21 @ X22) = (X1 @ X22 @ X21)) & ! [X23 : a,X24 : a] : ((X0 @ (X1 @ X23 @ X24) @ X24) = X24) & ! [X25 : a] : ((X1 @ X25 @ X25) = X25))), 1.44/0.55 inference(rectify,[],[f6])). 1.44/0.55 thf(f6,plain,( 1.44/0.55 ? [X0 : a > a > a,X1 : a > a > a] : (! [X24 : a,X25 : a,X23 : a] : ((X1 @ X24 @ (X0 @ X23 @ X25)) = (X0 @ (X1 @ X24 @ X23) @ (X1 @ X24 @ X25))) & ! [X14 : a,X13 : a] : ((X0 @ X14 @ X13) = (X0 @ X13 @ X14)) & ! [X15 : a,X16 : a,X17 : a] : ((X0 @ (X0 @ X16 @ X15) @ X17) = (X0 @ X16 @ (X0 @ X15 @ X17))) & ! [X10 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X10 @ X8)) = (X1 @ (X1 @ X9 @ X10) @ X8)) & ! [X6 : a] : ((X0 @ X6 @ X6) = X6) & ? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : ((X21 != X22) & ((X1 @ X19 @ X18) = X18) & ((X0 @ X22 @ X19) = X20) & ((X1 @ X20 @ X22) = X22) & (X18 != X19) & ((X0 @ X20 @ X19) = X20) & (X18 != X21) & (X19 != X20) & (X20 != X21) & (X20 != X22) & ((X1 @ X22 @ X18) = X18) & ((X0 @ X20 @ X18) = X20) & ((X1 @ X20 @ X21) = X21) & ((X0 @ X20 @ X21) = X20) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X21 @ X18) = X21) & ((X1 @ X21 @ X19) = X18) & (X19 != X22) & ((X1 @ X22 @ X19) = X18) & ((X0 @ X20 @ X22) = X20) & (X19 != X21) & ((X0 @ X21 @ X19) = X20) & (X18 != X22) & ((X0 @ X22 @ X18) = X22) & ((X0 @ X21 @ X22) = X20) & ((X0 @ X19 @ X18) = X19) & ((X1 @ X21 @ X18) = X18) & ((X1 @ X21 @ X22) = X18) & (X18 != X20) & ((X1 @ X20 @ X19) = X19)) & ! [X5 : a,X4 : a] : ((X1 @ (X0 @ X5 @ X4) @ X4) = X4) & ! [X12 : a,X11 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12)) & ! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X7 : a] : ((X1 @ X7 @ X7) = X7))), 1.44/0.55 inference(flattening,[],[f5])). 1.44/0.55 thf(f5,plain,( 1.44/0.55 ? [X1 : a > a > a,X0 : a > a > a] : ((! [X24 : a,X25 : a,X23 : a] : ((X1 @ X24 @ (X0 @ X23 @ X25)) = (X0 @ (X1 @ X24 @ X23) @ (X1 @ X24 @ X25))) & ? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : ((X21 != X22) & ((X1 @ X19 @ X18) = X18) & ((X0 @ X22 @ X19) = X20) & ((X1 @ X20 @ X22) = X22) & (X18 != X19) & ((X0 @ X20 @ X19) = X20) & (X18 != X21) & (X19 != X20) & (X20 != X21) & (X20 != X22) & ((X1 @ X22 @ X18) = X18) & ((X0 @ X20 @ X18) = X20) & ((X1 @ X20 @ X21) = X21) & ((X0 @ X20 @ X21) = X20) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X21 @ X18) = X21) & ((X1 @ X21 @ X19) = X18) & (X19 != X22) & ((X1 @ X22 @ X19) = X18) & ((X0 @ X20 @ X22) = X20) & (X19 != X21) & ((X0 @ X21 @ X19) = X20) & (X18 != X22) & ((X0 @ X22 @ X18) = X22) & ((X0 @ X21 @ X22) = X20) & ((X0 @ X19 @ X18) = X19) & ((X1 @ X21 @ X18) = X18) & ((X1 @ X21 @ X22) = X18) & (X18 != X20) & ((X1 @ X20 @ X19) = X19))) & (! [X12 : a,X11 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12)) & ! [X7 : a] : ((X1 @ X7 @ X7) = X7) & ! [X10 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X10 @ X8)) = (X1 @ (X1 @ X9 @ X10) @ X8)) & ! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X6 : a] : ((X0 @ X6 @ X6) = X6) & ! [X15 : a,X16 : a,X17 : a] : ((X0 @ (X0 @ X16 @ X15) @ X17) = (X0 @ X16 @ (X0 @ X15 @ X17))) & ! [X14 : a,X13 : a] : ((X0 @ X14 @ X13) = (X0 @ X13 @ X14)) & ! [X5 : a,X4 : a] : ((X1 @ (X0 @ X5 @ X4) @ X4) = X4)))), 1.44/0.55 inference(ennf_transformation,[],[f4])). 1.44/0.55 thf(f4,plain,( 1.44/0.55 ~! [X1 : a > a > a,X0 : a > a > a] : ((! [X12 : a,X11 : a] : ((X1 @ X12 @ X11) = (X1 @ X11 @ X12)) & ! [X7 : a] : ((X1 @ X7 @ X7) = X7) & ! [X10 : a,X9 : a,X8 : a] : ((X1 @ X9 @ (X1 @ X10 @ X8)) = (X1 @ (X1 @ X9 @ X10) @ X8)) & ! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X6 : a] : ((X0 @ X6 @ X6) = X6) & ! [X15 : a,X16 : a,X17 : a] : ((X0 @ (X0 @ X16 @ X15) @ X17) = (X0 @ X16 @ (X0 @ X15 @ X17))) & ! [X14 : a,X13 : a] : ((X0 @ X14 @ X13) = (X0 @ X13 @ X14)) & ! [X5 : a,X4 : a] : ((X1 @ (X0 @ X5 @ X4) @ X4) = X4)) => (? [X22 : a,X21 : a,X20 : a,X18 : a,X19 : a] : ((X21 != X22) & ((X1 @ X19 @ X18) = X18) & ((X0 @ X22 @ X19) = X20) & ((X1 @ X20 @ X22) = X22) & (X18 != X19) & ((X0 @ X20 @ X19) = X20) & (X18 != X21) & (X19 != X20) & (X20 != X21) & (X20 != X22) & ((X1 @ X22 @ X18) = X18) & ((X0 @ X20 @ X18) = X20) & ((X1 @ X20 @ X21) = X21) & ((X0 @ X20 @ X21) = X20) & ((X1 @ X20 @ X18) = X18) & ((X0 @ X21 @ X18) = X21) & ((X1 @ X21 @ X19) = X18) & (X19 != X22) & ((X1 @ X22 @ X19) = X18) & ((X0 @ X20 @ X22) = X20) & (X19 != X21) & ((X0 @ X21 @ X19) = X20) & (X18 != X22) & ((X0 @ X22 @ X18) = X22) & ((X0 @ X21 @ X22) = X20) & ((X0 @ X19 @ X18) = X19) & ((X1 @ X21 @ X18) = X18) & ((X1 @ X21 @ X22) = X18) & (X18 != X20) & ((X1 @ X20 @ X19) = X19)) => ~! [X24 : a,X25 : a,X23 : a] : ((X1 @ X24 @ (X0 @ X23 @ X25)) = (X0 @ (X1 @ X24 @ X23) @ (X1 @ X24 @ X25)))))), 1.44/0.55 inference(rectify,[],[f2])). 1.44/0.55 thf(f2,negated_conjecture,( 1.44/0.55 ~! [X0 : a > a > a,X1 : a > a > a] : ((! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X4 : a,X2 : a,X3 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X2 : a,X3 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X3 : a,X2 : a,X4 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4)))) => (? [X3 : a,X7 : a,X2 : a,X5 : a,X6 : a] : ((X2 != X3) & (X3 != X7) & ((X0 @ X5 @ X6) = X2) & (X5 != X6) & (X3 != X5) & ((X1 @ X5 @ X7) = X3) & (X6 != X7) & (X2 != X7) & ((X0 @ X6 @ X7) = X2) & ((X0 @ X2 @ X3) = X2) & ((X1 @ X6 @ X7) = X3) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X1 @ X2 @ X6) = X6) & (X2 != X5) & ((X1 @ X5 @ X6) = X3) & ((X0 @ X2 @ X6) = X2) & ((X0 @ X7 @ X3) = X7) & ((X1 @ X2 @ X7) = X7) & ((X0 @ X5 @ X7) = X2) & ((X0 @ X6 @ X3) = X6) & ((X0 @ X5 @ X3) = X5) & (X5 != X7) & (X2 != X6) & ((X1 @ X2 @ X3) = X3) & ((X1 @ X2 @ X5) = X5) & ((X1 @ X5 @ X3) = X3) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X2 @ X7) = X2) & (X3 != X6)) => ~! [X3 : a,X2 : a,X4 : a] : ((X1 @ X2 @ (X0 @ X3 @ X4)) = (X0 @ (X1 @ X2 @ X3) @ (X1 @ X2 @ X4)))))), 1.44/0.55 inference(negated_conjecture,[],[f1])). 1.44/0.55 thf(f1,conjecture,( 1.44/0.55 ! [X0 : a > a > a,X1 : a > a > a] : ((! [X2 : a,X3 : a] : ((X0 @ (X1 @ X2 @ X3) @ X3) = X3) & ! [X3 : a,X2 : a] : ((X1 @ (X0 @ X2 @ X3) @ X3) = X3) & ! [X2 : a] : ((X0 @ X2 @ X2) = X2) & ! [X2 : a] : ((X1 @ X2 @ X2) = X2) & ! [X4 : a,X2 : a,X3 : a] : ((X1 @ (X1 @ X2 @ X3) @ X4) = (X1 @ X2 @ (X1 @ X3 @ X4))) & ! [X2 : a,X3 : a] : ((X1 @ X2 @ X3) = (X1 @ X3 @ X2)) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) = (X0 @ X3 @ X2)) & ! [X3 : a,X2 : a,X4 : a] : ((X0 @ (X0 @ X2 @ X3) @ X4) = (X0 @ X2 @ (X0 @ X3 @ X4)))) => (? [X3 : a,X7 : a,X2 : a,X5 : a,X6 : a] : ((X2 != X3) & (X3 != X7) & ((X0 @ X5 @ X6) = X2) & (X5 != X6) & (X3 != X5) & ((X1 @ X5 @ X7) = X3) & (X6 != X7) & (X2 != X7) & ((X0 @ X6 @ X7) = X2) & ((X0 @ X2 @ X3) = X2) & ((X1 @ X6 @ X7) = X3) & ((X1 @ X7 @ X3) = X3) & ((X0 @ X2 @ X5) = X2) & ((X1 @ X2 @ X6) = X6) & (X2 != X5) & ((X1 @ X5 @ X6) = X3) & ((X0 @ X2 @ X6) = X2) & ((X0 @ X7 @ X3) = X7) & ((X1 @ X2 @ X7) = X7) & ((X0 @ X5 @ X7) = X2) & ((X0 @ X6 @ X3) = X6) & ((X0 @ X5 @ X3) = X5) & (X5 != X7) & (X2 != X6) & ((X1 @ X2 @ X3) = X3) & ((X1 @ X2 @ X5) = X5) & ((X1 @ X5 @ X3) = X3) & ((X1 @ X6 @ X3) = X3) & ((X0 @ X2 @ X7) = X2) & (X3 != X6)) => ~! [X3 : a,X2 : a,X4 : a] : ((X1 @ X2 @ (X0 @ X3 @ X4)) = (X0 @ (X1 @ X2 @ X3) @ (X1 @ X2 @ X4)))))), 1.44/0.55 file('/export/starexec/sandbox2/tmp/tmp.sDKTHlq9up/Vampire---4.8_29561',c3_DIAMOND_THM_pme)). 1.44/0.55 thf(f72,plain,( 1.44/0.55 ((sK1 @ sK3 @ sK2) = (sK1 @ sK3 @ sK6))), 1.44/0.55 inference(definition_unfolding,[],[f17,f28])). 1.44/0.55 thf(f28,plain,( 1.44/0.55 (sK5 = (sK1 @ sK3 @ sK6))), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f17,plain,( 1.44/0.55 ((sK1 @ sK3 @ sK2) = sK5)), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f67,plain,( 1.44/0.55 (sK2 != (sK1 @ sK3 @ sK6))), 1.44/0.55 inference(definition_unfolding,[],[f22,f28])). 1.44/0.55 thf(f22,plain,( 1.44/0.55 (sK2 != sK5)), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f1217,plain,( 1.44/0.55 (sK2 = (sK1 @ sK2 @ sK3))), 1.44/0.55 inference(forward_demodulation,[],[f1216,f118])). 1.44/0.55 thf(f118,plain,( 1.44/0.55 (sK2 = (sK1 @ sK2 @ (sK0 @ sK2 @ sK3)))), 1.44/0.55 inference(superposition,[],[f77,f13])). 1.44/0.55 thf(f77,plain,( 1.44/0.55 (sK2 = (sK1 @ (sK0 @ sK2 @ sK3) @ sK2))), 1.44/0.55 inference(backward_demodulation,[],[f51,f75])). 1.44/0.55 thf(f75,plain,( 1.44/0.55 ((sK0 @ sK2 @ sK6) = (sK0 @ sK2 @ sK3))), 1.44/0.55 inference(forward_demodulation,[],[f69,f48])). 1.44/0.55 thf(f48,plain,( 1.44/0.55 ( ! [X6 : a,X5 : a] : (((sK0 @ X5 @ X6) = (sK0 @ X6 @ X5))) )), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f69,plain,( 1.44/0.55 ((sK0 @ sK2 @ sK6) = (sK0 @ sK3 @ sK2))), 1.44/0.55 inference(definition_unfolding,[],[f20,f42])). 1.44/0.55 thf(f42,plain,( 1.44/0.55 ((sK0 @ sK2 @ sK6) = sK4)), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f20,plain,( 1.44/0.55 ((sK0 @ sK3 @ sK2) = sK4)), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f51,plain,( 1.44/0.55 (sK2 = (sK1 @ (sK0 @ sK2 @ sK6) @ sK2))), 1.44/0.55 inference(definition_unfolding,[],[f41,f42])). 1.44/0.55 thf(f41,plain,( 1.44/0.55 (sK2 = (sK1 @ sK4 @ sK2))), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f1216,plain,( 1.44/0.55 ((sK1 @ sK2 @ (sK0 @ sK2 @ sK3)) = (sK1 @ sK2 @ sK3))), 1.44/0.55 inference(forward_demodulation,[],[f1215,f93])). 1.44/0.55 thf(f93,plain,( 1.44/0.55 ((sK1 @ sK2 @ sK6) = (sK1 @ sK2 @ sK3))), 1.44/0.55 inference(forward_demodulation,[],[f64,f83])). 1.44/0.55 thf(f64,plain,( 1.44/0.55 ((sK1 @ sK3 @ sK6) = (sK1 @ sK2 @ sK6))), 1.44/0.55 inference(definition_unfolding,[],[f26,f28])). 1.44/0.55 thf(f26,plain,( 1.44/0.55 (sK5 = (sK1 @ sK2 @ sK6))), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f1215,plain,( 1.44/0.55 ((sK1 @ sK2 @ (sK0 @ sK2 @ sK3)) = (sK1 @ sK2 @ sK6))), 1.44/0.55 inference(forward_demodulation,[],[f1214,f76])). 1.44/0.55 thf(f76,plain,( 1.44/0.55 ((sK0 @ sK2 @ sK3) = (sK0 @ sK3 @ sK6))), 1.44/0.55 inference(backward_demodulation,[],[f66,f75])). 1.44/0.55 thf(f66,plain,( 1.44/0.55 ((sK0 @ sK2 @ sK6) = (sK0 @ sK3 @ sK6))), 1.44/0.55 inference(definition_unfolding,[],[f23,f42])). 1.44/0.55 thf(f23,plain,( 1.44/0.55 ((sK0 @ sK3 @ sK6) = sK4)), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f1214,plain,( 1.44/0.55 ((sK1 @ sK2 @ sK6) = (sK1 @ sK2 @ (sK0 @ sK3 @ sK6)))), 1.44/0.55 inference(forward_demodulation,[],[f1209,f48])). 1.44/0.55 thf(f1209,plain,( 1.44/0.55 ((sK1 @ sK2 @ sK6) = (sK1 @ sK2 @ (sK0 @ sK6 @ sK3)))), 1.44/0.55 inference(superposition,[],[f472,f45])). 1.44/0.55 thf(f45,plain,( 1.44/0.55 ( ! [X13 : a] : (((sK0 @ X13 @ X13) = X13)) )), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f472,plain,( 1.44/0.55 ( ! [X0 : a] : (((sK1 @ sK2 @ (sK0 @ X0 @ sK3)) = (sK1 @ sK2 @ (sK0 @ X0 @ sK6)))) )), 1.44/0.55 inference(forward_demodulation,[],[f426,f49])). 1.44/0.55 thf(f49,plain,( 1.44/0.55 ( ! [X2 : a,X3 : a,X4 : a] : (((sK1 @ X2 @ (sK0 @ X4 @ X3)) = (sK0 @ (sK1 @ X2 @ X4) @ (sK1 @ X2 @ X3)))) )), 1.44/0.55 inference(cnf_transformation,[],[f10])). 1.44/0.55 thf(f426,plain,( 1.44/0.55 ( ! [X0 : a] : (((sK0 @ (sK1 @ sK2 @ X0) @ (sK1 @ sK2 @ sK3)) = (sK1 @ sK2 @ (sK0 @ X0 @ sK6)))) )), 1.44/0.55 inference(superposition,[],[f49,f93])). 1.44/0.55 % SZS output end Proof for Vampire---4 1.44/0.55 % (29672)------------------------------ 1.44/0.55 % (29672)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.44/0.55 % (29672)Termination reason: Refutation 1.44/0.55 1.44/0.55 % (29672)Memory used [KB]: 6524 1.44/0.55 % (29672)Time elapsed: 0.175 s 1.44/0.55 % (29672)Instructions burned: 331 (million) 1.44/0.55 % (29672)------------------------------ 1.44/0.55 % (29672)------------------------------ 1.44/0.55 % (29668)Success in time 0.176 s 1.44/0.55 % Vampire---4.8 exiting 1.44/0.55 EOF