0.07/0.17 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.12/0.39 % Computer : n007.cluster.edu 0.12/0.39 % Model : x86_64 x86_64 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.39 % Memory : 8042.1875MB 0.12/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.39 % CPULimit : 300 0.12/0.39 % WCLimit : 300 0.12/0.39 % DateTime : Fri Jul 5 04:23:39 EDT 2024 0.12/0.39 % CPUTime : 0.21/0.41 This is a THF_ problem 0.21/0.42 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.43 % (17674)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.21/0.43 % (17670)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.21/0.43 % (17669)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.21/0.43 % (17668)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.21/0.43 % (17673)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.21/0.43 % (17671)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.21/0.43 % (17672)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 theBenchmark for (2999ds/74Mi) 0.21/0.43 % (17673)Instruction limit reached! 0.21/0.43 % (17673)------------------------------ 0.21/0.43 % (17673)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (17673)Termination reason: Unknown 0.21/0.43 % (17673)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (17673)Memory used [KB]: 5500 0.21/0.43 % (17673)Time elapsed: 0.004 s 0.21/0.43 % (17673)Instructions burned: 5 (million) 0.21/0.43 % (17673)------------------------------ 0.21/0.43 % (17673)------------------------------ 0.21/0.43 % (17667)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.21/0.44 % (17671)Instruction limit reached! 0.21/0.44 % (17671)------------------------------ 0.21/0.44 % (17671)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (17671)Termination reason: Unknown 0.21/0.44 % (17671)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (17671)Memory used [KB]: 5628 0.21/0.44 % (17671)Time elapsed: 0.011 s 0.21/0.44 % (17671)Instructions burned: 18 (million) 0.21/0.44 % (17671)------------------------------ 0.21/0.44 % (17671)------------------------------ 0.21/0.45 % (17668)Instruction limit reached! 0.21/0.45 % (17668)------------------------------ 0.21/0.45 % (17668)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (17668)Termination reason: Unknown 0.21/0.45 % (17668)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (17668)Memory used [KB]: 5756 0.21/0.45 % (17668)Time elapsed: 0.018 s 0.21/0.45 % (17668)Instructions burned: 37 (million) 0.21/0.45 % (17668)------------------------------ 0.21/0.45 % (17668)------------------------------ 0.21/0.45 % (17669)Instruction limit reached! 0.21/0.45 % (17669)------------------------------ 0.21/0.45 % (17669)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (17669)Termination reason: Unknown 0.21/0.45 % (17669)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (17669)Memory used [KB]: 5756 0.21/0.45 % (17669)Time elapsed: 0.019 s 0.21/0.45 % (17669)Instructions burned: 34 (million) 0.21/0.45 % (17669)------------------------------ 0.21/0.45 % (17669)------------------------------ 0.21/0.45 % (17675)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 theBenchmark for (2999ds/21Mi) 0.21/0.46 % (17674)Refutation not found, incomplete strategy 0.21/0.46 % (17674)------------------------------ 0.21/0.46 % (17674)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (17674)Termination reason: Refutation not found, incomplete strategy 0.21/0.46 0.21/0.46 0.21/0.46 % (17674)Memory used [KB]: 5756 0.21/0.46 % (17674)Time elapsed: 0.026 s 0.21/0.46 % (17674)Instructions burned: 56 (million) 0.21/0.46 % (17674)------------------------------ 0.21/0.46 % (17674)------------------------------ 0.21/0.46 % (17676)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.21/0.46 % (17677)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 theBenchmark for (2999ds/1021Mi) 0.21/0.46 % (17678)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.21/0.46 % (17676)Instruction limit reached! 0.21/0.46 % (17676)------------------------------ 0.21/0.46 % (17676)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (17676)Termination reason: Unknown 0.21/0.46 % (17676)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (17676)Memory used [KB]: 5500 0.21/0.46 % (17676)Time elapsed: 0.006 s 0.21/0.46 % (17676)Instructions burned: 7 (million) 0.21/0.46 % (17676)------------------------------ 0.21/0.46 % (17676)------------------------------ 0.21/0.46 % (17675)Instruction limit reached! 0.21/0.46 % (17675)------------------------------ 0.21/0.46 % (17675)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (17675)Termination reason: Unknown 0.21/0.46 % (17675)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (17675)Memory used [KB]: 5628 0.21/0.46 % (17675)Time elapsed: 0.012 s 0.21/0.46 % (17675)Instructions burned: 21 (million) 0.21/0.46 % (17675)------------------------------ 0.21/0.46 % (17675)------------------------------ 0.21/0.46 % (17672)Instruction limit reached! 0.21/0.46 % (17672)------------------------------ 0.21/0.46 % (17672)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (17672)Termination reason: Unknown 0.21/0.46 % (17672)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (17672)Memory used [KB]: 5756 0.21/0.46 % (17672)Time elapsed: 0.033 s 0.21/0.46 % (17672)Instructions burned: 75 (million) 0.21/0.46 % (17672)------------------------------ 0.21/0.46 % (17672)------------------------------ 0.21/0.47 % (17679)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 theBenchmark for (2999ds/9Mi) 0.21/0.47 % (17679)Instruction limit reached! 0.21/0.47 % (17679)------------------------------ 0.21/0.47 % (17679)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (17679)Termination reason: Unknown 0.21/0.47 % (17679)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (17679)Memory used [KB]: 5500 0.21/0.47 % (17679)Time elapsed: 0.006 s 0.21/0.47 % (17679)Instructions burned: 9 (million) 0.21/0.47 % (17679)------------------------------ 0.21/0.47 % (17679)------------------------------ 0.21/0.48 % (17680)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.21/0.48 % (17681)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.21/0.48 % (17682)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.21/0.49 % (17667)Instruction limit reached! 0.21/0.49 % (17667)------------------------------ 0.21/0.49 % (17667)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (17667)Termination reason: Unknown 0.21/0.49 % (17667)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (17667)Memory used [KB]: 5884 0.21/0.49 % (17667)Time elapsed: 0.052 s 0.21/0.49 % (17667)Instructions burned: 98 (million) 0.21/0.49 % (17667)------------------------------ 0.21/0.49 % (17667)------------------------------ 0.21/0.49 % (17683)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.21/0.49 % (17683)Instruction limit reached! 0.21/0.49 % (17683)------------------------------ 0.21/0.49 % (17683)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (17683)Termination reason: Unknown 0.21/0.49 % (17683)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (17683)Memory used [KB]: 5628 0.21/0.49 % (17683)Time elapsed: 0.008 s 0.21/0.49 % (17683)Instructions burned: 14 (million) 0.21/0.49 % (17683)------------------------------ 0.21/0.49 % (17683)------------------------------ 0.21/0.49 % (17678)Instruction limit reached! 0.21/0.49 % (17678)------------------------------ 0.21/0.49 % (17678)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (17678)Termination reason: Unknown 0.21/0.49 % (17678)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (17678)Memory used [KB]: 5756 0.21/0.49 % (17678)Time elapsed: 0.035 s 0.21/0.49 % (17678)Instructions burned: 71 (million) 0.21/0.49 % (17678)------------------------------ 0.21/0.49 % (17678)------------------------------ 0.21/0.49 % (17684)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 theBenchmark for (2999ds/2Mi) 0.21/0.50 % (17684)Instruction limit reached! 0.21/0.50 % (17684)------------------------------ 0.21/0.50 % (17684)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (17684)Termination reason: Unknown 0.21/0.50 % (17684)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (17684)Memory used [KB]: 1023 0.21/0.50 % (17684)Time elapsed: 0.003 s 0.21/0.50 % (17684)Instructions burned: 4 (million) 0.21/0.50 % (17684)------------------------------ 0.21/0.50 % (17684)------------------------------ 0.21/0.51 % (17687)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2999ds/140Mi) 0.21/0.51 % (17686)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi) 0.21/0.51 % (17685)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 theBenchmark for (2999ds/1041Mi) 0.21/0.51 % (17682)Instruction limit reached! 0.21/0.51 % (17682)------------------------------ 0.21/0.51 % (17682)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (17682)Termination reason: Unknown 0.21/0.51 % (17682)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (17682)Memory used [KB]: 5884 0.21/0.51 % (17682)Time elapsed: 0.030 s 0.21/0.51 % (17682)Instructions burned: 62 (million) 0.21/0.51 % (17682)------------------------------ 0.21/0.51 % (17682)------------------------------ 0.21/0.51 % (17686)Instruction limit reached! 0.21/0.51 % (17686)------------------------------ 0.21/0.51 % (17686)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (17686)Termination reason: Unknown 0.21/0.51 % (17686)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (17686)Memory used [KB]: 5500 0.21/0.51 % (17686)Time elapsed: 0.007 s 0.21/0.51 % (17686)Instructions burned: 12 (million) 0.21/0.51 % (17686)------------------------------ 0.21/0.51 % (17686)------------------------------ 0.21/0.52 % (17688)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 theBenchmark for (2999ds/26Mi) 0.21/0.53 % (17689)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2999ds/56Mi) 0.21/0.53 % (17681)Instruction limit reached! 0.21/0.53 % (17681)------------------------------ 0.21/0.53 % (17681)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (17681)Termination reason: Unknown 0.21/0.53 % (17681)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (17681)Memory used [KB]: 6012 0.21/0.53 % (17681)Time elapsed: 0.059 s 0.21/0.53 % (17681)Instructions burned: 129 (million) 0.21/0.53 % (17681)------------------------------ 0.21/0.53 % (17681)------------------------------ 0.21/0.53 % (17688)Instruction limit reached! 0.21/0.53 % (17688)------------------------------ 0.21/0.53 % (17688)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (17688)Termination reason: Unknown 0.21/0.53 % (17688)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (17688)Memory used [KB]: 5628 0.21/0.53 % (17688)Time elapsed: 0.013 s 0.21/0.53 % (17688)Instructions burned: 27 (million) 0.21/0.53 % (17688)------------------------------ 0.21/0.53 % (17688)------------------------------ 0.21/0.53 % (17689)Refutation not found, incomplete strategy 0.21/0.53 % (17689)------------------------------ 0.21/0.53 % (17689)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (17689)Termination reason: Refutation not found, incomplete strategy 0.21/0.53 0.21/0.53 0.21/0.53 % (17689)Memory used [KB]: 1151 0.21/0.53 % (17689)Time elapsed: 0.009 s 0.21/0.53 % (17689)Instructions burned: 15 (million) 0.21/0.53 % (17689)------------------------------ 0.21/0.53 % (17689)------------------------------ 0.21/0.53 % (17687)Refutation not found, incomplete strategy 0.21/0.53 % (17687)------------------------------ 0.21/0.53 % (17687)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (17687)Termination reason: Refutation not found, incomplete strategy 0.21/0.53 0.21/0.53 0.21/0.53 % (17687)Memory used [KB]: 5884 0.21/0.53 % (17687)Time elapsed: 0.028 s 0.21/0.53 % (17687)Instructions burned: 60 (million) 0.21/0.53 % (17687)------------------------------ 0.21/0.53 % (17687)------------------------------ 0.21/0.54 % (17680)Refutation not found, incomplete strategy 0.21/0.54 % (17680)------------------------------ 0.21/0.54 % (17680)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.54 % (17680)Termination reason: Refutation not found, incomplete strategy 0.21/0.54 0.21/0.54 0.21/0.54 % (17680)Memory used [KB]: 6140 0.21/0.54 % (17680)Time elapsed: 0.070 s 0.21/0.54 % (17680)Instructions burned: 135 (million) 0.21/0.54 % (17680)------------------------------ 0.21/0.54 % (17680)------------------------------ 0.21/0.55 % (17692)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi) 0.21/0.55 % (17693)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi) 0.21/0.55 % (17691)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.21/0.55 % (17690)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi) 0.21/0.55 % (17691)Instruction limit reached! 0.21/0.55 % (17691)------------------------------ 0.21/0.55 % (17691)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.55 % (17691)Termination reason: Unknown 0.21/0.55 % (17691)Termination phase: Preprocessing 3 0.21/0.55 0.21/0.55 % (17691)Memory used [KB]: 1023 0.21/0.55 % (17691)Time elapsed: 0.003 s 0.21/0.55 % (17691)Instructions burned: 3 (million) 0.21/0.55 % (17691)------------------------------ 0.21/0.55 % (17691)------------------------------ 0.21/0.55 % (17692)Instruction limit reached! 0.21/0.55 % (17692)------------------------------ 0.21/0.55 % (17692)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.55 % (17692)Termination reason: Unknown 0.21/0.55 % (17692)Termination phase: Saturation 0.21/0.55 0.21/0.55 % (17692)Memory used [KB]: 5628 0.21/0.55 % (17692)Time elapsed: 0.009 s 0.21/0.55 % (17692)Instructions burned: 20 (million) 0.21/0.55 % (17692)------------------------------ 0.21/0.55 % (17692)------------------------------ 0.21/0.56 % (17670)Refutation not found, incomplete strategy 0.21/0.56 % (17670)------------------------------ 0.21/0.56 % (17670)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.56 % (17670)Termination reason: Refutation not found, incomplete strategy 0.21/0.56 0.21/0.56 0.21/0.56 % (17670)Memory used [KB]: 6396 0.21/0.56 % (17670)Time elapsed: 0.126 s 0.21/0.56 % (17670)Instructions burned: 273 (million) 0.21/0.56 % (17670)------------------------------ 0.21/0.56 % (17670)------------------------------ 0.21/0.56 % (17694)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi) 0.21/0.56 % (17695)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi) 0.21/0.56 % (17693)Instruction limit reached! 0.21/0.56 % (17693)------------------------------ 0.21/0.56 % (17693)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.56 % (17693)Termination reason: Unknown 0.21/0.56 % (17693)Termination phase: Saturation 0.21/0.56 0.21/0.56 % (17693)Memory used [KB]: 1407 0.21/0.56 % (17693)Time elapsed: 0.019 s 0.21/0.56 % (17693)Instructions burned: 46 (million) 0.21/0.56 % (17693)------------------------------ 0.21/0.56 % (17693)------------------------------ 0.21/0.57 % (17696)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2998ds/105Mi) 0.21/0.57 % (17697)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.21/0.57 % (17697)Instruction limit reached! 0.21/0.57 % (17697)------------------------------ 0.21/0.57 % (17697)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.57 % (17697)Termination reason: Unknown 0.21/0.57 % (17697)Termination phase: Preprocessing 3 0.21/0.57 0.21/0.57 % (17697)Memory used [KB]: 1023 0.21/0.57 % (17697)Time elapsed: 0.003 s 0.21/0.57 % (17697)Instructions burned: 3 (million) 0.21/0.57 % (17697)------------------------------ 0.21/0.57 % (17697)------------------------------ 0.21/0.57 % (17696)Refutation not found, incomplete strategy 0.21/0.57 % (17696)------------------------------ 0.21/0.57 % (17696)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.57 % (17696)Termination reason: Refutation not found, incomplete strategy 0.21/0.57 0.21/0.57 0.21/0.57 % (17696)Memory used [KB]: 5628 0.21/0.57 % (17696)Time elapsed: 0.029 s 0.21/0.57 % (17696)Instructions burned: 14 (million) 0.21/0.57 % (17696)------------------------------ 0.21/0.57 % (17696)------------------------------ 0.21/0.58 % (17690)Refutation not found, incomplete strategy 0.21/0.58 % (17690)------------------------------ 0.21/0.58 % (17690)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.58 % (17690)Termination reason: Refutation not found, incomplete strategy 0.21/0.58 0.21/0.58 0.21/0.58 % (17690)Memory used [KB]: 5756 0.21/0.58 % (17690)Time elapsed: 0.052 s 0.21/0.58 % (17690)Instructions burned: 61 (million) 0.21/0.58 % (17690)------------------------------ 0.21/0.58 % (17690)------------------------------ 0.21/0.58 % (17699)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.21/0.58 % (17699)Instruction limit reached! 0.21/0.58 % (17699)------------------------------ 0.21/0.58 % (17699)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.58 % (17699)Termination reason: Unknown 0.21/0.58 % (17699)Termination phase: Property scanning 0.21/0.58 0.21/0.58 % (17699)Memory used [KB]: 1023 0.21/0.58 % (17699)Time elapsed: 0.004 s 0.21/0.58 % (17699)Instructions burned: 4 (million) 0.21/0.58 % (17699)------------------------------ 0.21/0.58 % (17699)------------------------------ 0.21/0.59 % (17698)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on theBenchmark for (2998ds/238Mi) 0.21/0.59 % (17700)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi) 0.21/0.59 % (17695)Instruction limit reached! 0.21/0.59 % (17695)------------------------------ 0.21/0.59 % (17695)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.59 % (17695)Termination reason: Unknown 0.21/0.59 % (17695)Termination phase: Saturation 0.21/0.59 0.21/0.59 % (17695)Memory used [KB]: 5756 0.21/0.59 % (17695)Time elapsed: 0.049 s 0.21/0.59 % (17695)Instructions burned: 62 (million) 0.21/0.59 % (17695)------------------------------ 0.21/0.59 % (17695)------------------------------ 0.21/0.59 % (17700)Instruction limit reached! 0.21/0.59 % (17700)------------------------------ 0.21/0.59 % (17700)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.59 % (17700)Termination reason: Unknown 0.21/0.59 % (17700)Termination phase: Saturation 0.21/0.59 0.21/0.59 % (17700)Memory used [KB]: 5500 0.21/0.59 % (17700)Time elapsed: 0.004 s 0.21/0.59 % (17700)Instructions burned: 5 (million) 0.21/0.59 % (17700)------------------------------ 0.21/0.59 % (17700)------------------------------ 0.21/0.59 % (17701)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi) 0.21/0.60 % (17702)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2998ds/150Mi) 1.48/0.60 % (17704)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi) 1.48/0.60 % (17703)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on theBenchmark for (2998ds/199Mi) 1.48/0.62 % (17704)Instruction limit reached! 1.48/0.62 % (17704)------------------------------ 1.48/0.62 % (17704)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.62 % (17704)Termination reason: Unknown 1.48/0.62 % (17704)Termination phase: Saturation 1.48/0.62 1.48/0.62 % (17704)Memory used [KB]: 5628 1.48/0.62 % (17704)Time elapsed: 0.019 s 1.48/0.62 % (17704)Instructions burned: 39 (million) 1.48/0.62 % (17704)------------------------------ 1.48/0.62 % (17704)------------------------------ 1.66/0.63 % (17705)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on theBenchmark for (2997ds/721Mi) 1.73/0.64 % (17694)Instruction limit reached! 1.73/0.64 % (17694)------------------------------ 1.73/0.64 % (17694)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.64 % (17694)Termination reason: Unknown 1.73/0.64 % (17694)Termination phase: Saturation 1.73/0.64 1.73/0.64 % (17694)Memory used [KB]: 6780 1.73/0.64 % (17694)Time elapsed: 0.109 s 1.73/0.64 % (17694)Instructions burned: 191 (million) 1.73/0.64 % (17694)------------------------------ 1.73/0.64 % (17694)------------------------------ 1.73/0.66 % (17702)Instruction limit reached! 1.73/0.66 % (17702)------------------------------ 1.73/0.66 % (17702)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.66 % (17702)Termination reason: Unknown 1.73/0.66 % (17702)Termination phase: Saturation 1.73/0.66 1.73/0.66 % (17702)Memory used [KB]: 6268 1.73/0.66 % (17702)Time elapsed: 0.063 s 1.73/0.66 % (17702)Instructions burned: 150 (million) 1.73/0.66 % (17702)------------------------------ 1.73/0.66 % (17702)------------------------------ 1.73/0.66 % (17701)Instruction limit reached! 1.73/0.66 % (17701)------------------------------ 1.73/0.66 % (17701)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.66 % (17701)Termination reason: Unknown 1.73/0.66 % (17701)Termination phase: Saturation 1.73/0.66 1.73/0.66 % (17701)Memory used [KB]: 5756 1.73/0.66 % (17701)Time elapsed: 0.067 s 1.73/0.66 % (17701)Instructions burned: 150 (million) 1.73/0.66 % (17701)------------------------------ 1.73/0.66 % (17701)------------------------------ 1.73/0.66 % (17706)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 1.73/0.66 % (17706)Instruction limit reached! 1.73/0.66 % (17706)------------------------------ 1.73/0.66 % (17706)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.66 % (17706)Termination reason: Unknown 1.73/0.66 % (17706)Termination phase: Property scanning 1.73/0.66 1.73/0.66 % (17706)Memory used [KB]: 1023 1.73/0.66 % (17706)Time elapsed: 0.004 s 1.73/0.66 % (17706)Instructions burned: 5 (million) 1.73/0.66 % (17706)------------------------------ 1.73/0.66 % (17706)------------------------------ 1.73/0.67 % (17707)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2997ds/18Mi) 1.73/0.67 % (17708)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on theBenchmark for (2997ds/218Mi) 1.73/0.68 % (17707)Refutation not found, incomplete strategy 1.73/0.68 % (17707)------------------------------ 1.73/0.68 % (17707)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.68 % (17707)Termination reason: Refutation not found, incomplete strategy 1.73/0.68 1.73/0.68 1.73/0.68 % (17707)Memory used [KB]: 5628 1.73/0.68 % (17707)Time elapsed: 0.008 s 1.73/0.68 % (17707)Instructions burned: 14 (million) 1.73/0.68 % (17709)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi) 1.73/0.68 % (17707)------------------------------ 1.73/0.68 % (17707)------------------------------ 1.73/0.68 % (17698)Instruction limit reached! 1.73/0.68 % (17698)------------------------------ 1.73/0.68 % (17698)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.68 % (17698)Termination reason: Unknown 1.73/0.68 % (17698)Termination phase: Saturation 1.73/0.68 1.73/0.68 % (17698)Memory used [KB]: 6140 1.73/0.68 % (17698)Time elapsed: 0.128 s 1.73/0.68 % (17698)Instructions burned: 240 (million) 1.73/0.68 % (17698)------------------------------ 1.73/0.68 % (17698)------------------------------ 1.73/0.69 % (17710)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi) 1.73/0.70 % (17703)Instruction limit reached! 1.73/0.70 % (17703)------------------------------ 1.73/0.70 % (17703)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.70 % (17703)Termination reason: Unknown 1.73/0.70 % (17703)Termination phase: Saturation 1.73/0.70 1.73/0.70 % (17703)Memory used [KB]: 6012 1.73/0.70 % (17703)Time elapsed: 0.094 s 1.73/0.70 % (17703)Instructions burned: 199 (million) 1.73/0.70 % (17703)------------------------------ 1.73/0.70 % (17703)------------------------------ 1.73/0.70 % (17710)Instruction limit reached! 1.73/0.70 % (17710)------------------------------ 1.73/0.70 % (17710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.70 % (17710)Termination reason: Unknown 1.73/0.70 % (17710)Termination phase: Saturation 1.73/0.70 1.73/0.70 % (17710)Memory used [KB]: 5500 1.73/0.70 % (17710)Time elapsed: 0.005 s 1.73/0.70 % (17710)Instructions burned: 7 (million) 1.73/0.70 % (17710)------------------------------ 1.73/0.70 % (17710)------------------------------ 1.73/0.70 % (17711)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on theBenchmark for (2997ds/9Mi) 1.73/0.70 % (17711)Instruction limit reached! 1.73/0.70 % (17711)------------------------------ 1.73/0.70 % (17711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.73/0.70 % (17711)Termination reason: Unknown 1.73/0.70 % (17711)Termination phase: Saturation 1.73/0.70 1.73/0.70 % (17711)Memory used [KB]: 5500 1.73/0.70 % (17711)Time elapsed: 0.007 s 1.73/0.70 % (17711)Instructions burned: 10 (million) 1.73/0.70 % (17711)------------------------------ 1.73/0.70 % (17711)------------------------------ 1.73/0.71 % (17713)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on theBenchmark for (2997ds/40Mi) 2.21/0.71 % (17712)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2997ds/16Mi) 2.21/0.71 % (17713)Refutation not found, incomplete strategy 2.21/0.71 % (17713)------------------------------ 2.21/0.71 % (17713)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.71 % (17713)Termination reason: Refutation not found, incomplete strategy 2.21/0.71 2.21/0.72 2.21/0.72 % (17713)Memory used [KB]: 5628 2.21/0.72 % (17713)Time elapsed: 0.007 s 2.21/0.72 % (17713)Instructions burned: 11 (million) 2.21/0.72 % (17713)------------------------------ 2.21/0.72 % (17713)------------------------------ 2.21/0.72 % (17714)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2997ds/2Mi) 2.21/0.72 % (17714)Instruction limit reached! 2.21/0.72 % (17714)------------------------------ 2.21/0.72 % (17714)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.72 % (17714)Termination reason: Unknown 2.21/0.72 % (17714)Termination phase: Preprocessing 3 2.21/0.72 2.21/0.72 % (17714)Memory used [KB]: 1023 2.21/0.72 % (17714)Time elapsed: 0.003 s 2.21/0.72 % (17714)Instructions burned: 3 (million) 2.21/0.72 % (17714)------------------------------ 2.21/0.72 % (17714)------------------------------ 2.21/0.72 % (17712)Instruction limit reached! 2.21/0.72 % (17712)------------------------------ 2.21/0.72 % (17712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.72 % (17712)Termination reason: Unknown 2.21/0.72 % (17712)Termination phase: Saturation 2.21/0.72 2.21/0.72 % (17712)Memory used [KB]: 5628 2.21/0.72 % (17712)Time elapsed: 0.010 s 2.21/0.72 % (17712)Instructions burned: 17 (million) 2.21/0.72 % (17712)------------------------------ 2.21/0.72 % (17712)------------------------------ 2.21/0.73 % (17715)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi) 2.21/0.73 % (17716)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on theBenchmark for (2997ds/8Mi) 2.21/0.73 % (17716)Instruction limit reached! 2.21/0.73 % (17716)------------------------------ 2.21/0.73 % (17716)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.74 % (17716)Termination reason: Unknown 2.21/0.74 % (17716)Termination phase: Saturation 2.21/0.74 2.21/0.74 % (17716)Memory used [KB]: 5500 2.21/0.74 % (17716)Time elapsed: 0.006 s 2.21/0.74 % (17716)Instructions burned: 9 (million) 2.21/0.74 % (17716)------------------------------ 2.21/0.74 % (17716)------------------------------ 2.21/0.74 % (17717)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi) 2.21/0.75 % (17718)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2996ds/3Mi) 2.21/0.75 % (17718)Instruction limit reached! 2.21/0.75 % (17718)------------------------------ 2.21/0.75 % (17718)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.75 % (17718)Termination reason: Unknown 2.21/0.75 % (17718)Termination phase: Clausification 2.21/0.75 2.21/0.75 % (17718)Memory used [KB]: 1023 2.21/0.75 % (17718)Time elapsed: 0.004 s 2.21/0.75 % (17718)Instructions burned: 4 (million) 2.21/0.75 % (17718)------------------------------ 2.21/0.75 % (17718)------------------------------ 2.21/0.77 % (17715)Instruction limit reached! 2.21/0.77 % (17715)------------------------------ 2.21/0.77 % (17715)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.77 % (17715)Termination reason: Unknown 2.21/0.77 % (17715)Termination phase: Saturation 2.21/0.77 2.43/0.77 % (17715)Memory used [KB]: 1535 2.43/0.77 % (17715)Time elapsed: 0.040 s 2.43/0.77 % (17715)Instructions burned: 98 (million) 2.43/0.77 % (17715)------------------------------ 2.43/0.77 % (17715)------------------------------ 2.43/0.77 % (17719)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on theBenchmark for (2996ds/294Mi) 2.43/0.77 % (17717)Instruction limit reached! 2.43/0.77 % (17717)------------------------------ 2.43/0.77 % (17717)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.78 % (17717)Termination reason: Unknown 2.43/0.78 % (17717)Termination phase: Saturation 2.43/0.78 2.43/0.78 % (17717)Memory used [KB]: 6012 2.43/0.78 % (17717)Time elapsed: 0.042 s 2.43/0.78 % (17717)Instructions burned: 87 (million) 2.43/0.78 % (17717)------------------------------ 2.43/0.78 % (17717)------------------------------ 2.43/0.78 % (17720)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on theBenchmark for (2996ds/274Mi) 2.43/0.78 % (17708)Instruction limit reached! 2.43/0.78 % (17708)------------------------------ 2.43/0.78 % (17708)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.78 % (17708)Termination reason: Unknown 2.43/0.78 % (17708)Termination phase: Saturation 2.43/0.78 2.43/0.78 % (17708)Memory used [KB]: 6140 2.43/0.78 % (17708)Time elapsed: 0.111 s 2.43/0.78 % (17708)Instructions burned: 218 (million) 2.43/0.78 % (17708)------------------------------ 2.43/0.78 % (17708)------------------------------ 2.43/0.79 % (17721)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi) 2.43/0.81 % (17722)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2996ds/37Mi) 2.43/0.81 % (17721)Instruction limit reached! 2.43/0.81 % (17721)------------------------------ 2.43/0.81 % (17721)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.81 % (17721)Termination reason: Unknown 2.43/0.81 % (17721)Termination phase: Saturation 2.43/0.81 2.43/0.81 % (17721)Memory used [KB]: 5756 2.43/0.81 % (17721)Time elapsed: 0.025 s 2.43/0.81 % (17721)Instructions burned: 48 (million) 2.43/0.81 % (17721)------------------------------ 2.43/0.81 % (17721)------------------------------ 2.43/0.82 % (17722)Instruction limit reached! 2.43/0.82 % (17722)------------------------------ 2.43/0.82 % (17722)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.82 % (17722)Termination reason: Unknown 2.43/0.82 % (17722)Termination phase: Saturation 2.43/0.82 2.43/0.82 % (17722)Memory used [KB]: 5756 2.43/0.82 % (17722)Time elapsed: 0.034 s 2.43/0.82 % (17722)Instructions burned: 40 (million) 2.43/0.82 % (17722)------------------------------ 2.43/0.82 % (17722)------------------------------ 2.43/0.82 % (17719)Refutation not found, incomplete strategy 2.43/0.82 % (17719)------------------------------ 2.43/0.82 % (17719)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.82 % (17719)Termination reason: Refutation not found, incomplete strategy 2.43/0.82 2.43/0.82 2.43/0.82 % (17719)Memory used [KB]: 6012 2.43/0.82 % (17719)Time elapsed: 0.051 s 2.43/0.82 % (17719)Instructions burned: 99 (million) 2.43/0.82 % (17719)------------------------------ 2.43/0.82 % (17719)------------------------------ 2.43/0.83 % (17723)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on theBenchmark for (2996ds/3Mi) 2.43/0.83 % (17723)Instruction limit reached! 2.43/0.83 % (17723)------------------------------ 2.43/0.83 % (17723)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.83 % (17723)Termination reason: Unknown 2.43/0.83 % (17723)Termination phase: Preprocessing 3 2.43/0.83 2.43/0.83 % (17723)Memory used [KB]: 1023 2.43/0.83 % (17723)Time elapsed: 0.003 s 2.43/0.83 % (17723)Instructions burned: 3 (million) 2.43/0.83 % (17723)------------------------------ 2.43/0.83 % (17723)------------------------------ 2.43/0.83 % (17724)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on theBenchmark for (2996ds/19Mi) 2.43/0.84 % (17725)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on theBenchmark for (2996ds/5Mi) 2.43/0.84 % (17725)Instruction limit reached! 2.43/0.84 % (17725)------------------------------ 2.43/0.84 % (17725)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.84 % (17725)Termination reason: Unknown 2.43/0.84 % (17725)Termination phase: Saturation 2.43/0.84 2.43/0.84 % (17725)Memory used [KB]: 1023 2.43/0.84 % (17725)Time elapsed: 0.003 s 2.43/0.84 % (17725)Instructions burned: 5 (million) 2.43/0.84 % (17725)------------------------------ 2.43/0.84 % (17725)------------------------------ 2.43/0.84 % (17726)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi) 2.43/0.84 % (17724)Instruction limit reached! 2.43/0.84 % (17724)------------------------------ 2.43/0.84 % (17724)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.84 % (17724)Termination reason: Unknown 2.43/0.84 % (17724)Termination phase: Saturation 2.43/0.84 2.43/0.84 % (17724)Memory used [KB]: 5628 2.43/0.84 % (17724)Time elapsed: 0.012 s 2.43/0.84 % (17724)Instructions burned: 19 (million) 2.43/0.84 % (17724)------------------------------ 2.43/0.84 % (17724)------------------------------ 2.43/0.85 % (17727)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on theBenchmark for (2995ds/450Mi) 2.43/0.85 % (17720)Refutation not found, incomplete strategy 2.43/0.85 % (17720)------------------------------ 2.43/0.85 % (17720)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.85 % (17720)Termination reason: Refutation not found, incomplete strategy 2.43/0.85 2.43/0.85 2.43/0.85 % (17720)Memory used [KB]: 6140 2.43/0.85 % (17720)Time elapsed: 0.072 s 2.43/0.85 % (17720)Instructions burned: 145 (million) 2.43/0.85 % (17720)------------------------------ 2.43/0.85 % (17720)------------------------------ 2.43/0.85 % (17677)Instruction limit reached! 2.43/0.85 % (17677)------------------------------ 2.43/0.85 % (17677)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.43/0.85 % (17677)Termination reason: Unknown 2.43/0.85 % (17677)Termination phase: Saturation 2.43/0.85 2.43/0.85 % (17677)Memory used [KB]: 6396 2.43/0.85 % (17677)Time elapsed: 0.392 s 2.43/0.85 % (17677)Instructions burned: 1022 (million) 2.43/0.85 % (17677)------------------------------ 2.43/0.85 % (17677)------------------------------ 3.07/0.86 % (17726)Instruction limit reached! 3.07/0.86 % (17726)------------------------------ 3.07/0.86 % (17726)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.07/0.86 % (17726)Termination reason: Unknown 3.07/0.86 % (17726)Termination phase: Saturation 3.07/0.86 3.07/0.86 % (17726)Memory used [KB]: 10490 3.07/0.86 % (17726)Time elapsed: 0.020 s 3.07/0.86 % (17726)Instructions burned: 45 (million) 3.07/0.86 % (17726)------------------------------ 3.07/0.86 % (17726)------------------------------ 3.07/0.86 % (17728)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on theBenchmark for (2995ds/102Mi) 3.07/0.86 % (17730)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2995ds/204Mi) 3.07/0.87 % (17731)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2995ds/154Mi) 3.07/0.87 % (17729)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi) 3.07/0.87 % (17709)Instruction limit reached! 3.07/0.87 % (17709)------------------------------ 3.07/0.87 % (17709)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.07/0.87 % (17709)Termination reason: Unknown 3.07/0.87 % (17709)Termination phase: Saturation 3.07/0.87 3.07/0.87 % (17709)Memory used [KB]: 6652 3.07/0.87 % (17709)Time elapsed: 0.197 s 3.07/0.87 % (17709)Instructions burned: 448 (million) 3.07/0.87 % (17709)------------------------------ 3.07/0.87 % (17709)------------------------------ 3.34/0.88 % (17685)Instruction limit reached! 3.34/0.88 % (17685)------------------------------ 3.34/0.88 % (17685)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.34/0.88 % (17685)Termination reason: Unknown 3.34/0.88 % (17685)Termination phase: Saturation 3.34/0.88 3.34/0.88 % (17685)Memory used [KB]: 7164 3.34/0.88 % (17685)Time elapsed: 0.387 s 3.34/0.88 % (17685)Instructions burned: 1042 (million) 3.34/0.88 % (17685)------------------------------ 3.34/0.88 % (17685)------------------------------ 3.34/0.89 % (17732)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on theBenchmark for (2995ds/424Mi) 3.34/0.90 % (17728)Refutation not found, incomplete strategy 3.34/0.90 % (17728)------------------------------ 3.34/0.90 % (17728)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.34/0.90 % (17728)Termination reason: Refutation not found, incomplete strategy 3.34/0.90 3.34/0.90 3.34/0.90 % (17728)Memory used [KB]: 5628 3.34/0.90 % (17728)Time elapsed: 0.059 s 3.34/0.90 % (17728)Instructions burned: 77 (million) 3.34/0.90 % (17728)------------------------------ 3.34/0.90 % (17728)------------------------------ 3.34/0.90 % (17733)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi) 3.34/0.91 % (17729)Instruction limit reached! 3.34/0.91 % (17729)------------------------------ 3.34/0.91 % (17729)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.34/0.91 % (17729)Termination reason: Unknown 3.34/0.91 % (17729)Termination phase: Saturation 3.34/0.91 3.34/0.91 % (17729)Memory used [KB]: 7547 3.34/0.91 % (17729)Time elapsed: 0.068 s 3.34/0.91 % (17729)Instructions burned: 134 (million) 3.34/0.91 % (17729)------------------------------ 3.34/0.91 % (17729)------------------------------ 3.34/0.92 % (17733)Instruction limit reached! 3.34/0.92 % (17733)------------------------------ 3.34/0.92 % (17733)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.34/0.92 % (17733)Termination reason: Unknown 3.34/0.92 % (17733)Termination phase: Saturation 3.34/0.92 3.34/0.92 % (17733)Memory used [KB]: 5756 3.34/0.92 % (17733)Time elapsed: 0.018 s 3.34/0.92 % (17733)Instructions burned: 42 (million) 3.34/0.92 % (17733)------------------------------ 3.34/0.92 % (17733)------------------------------ 3.34/0.92 % (17735)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2994ds/70Mi) 3.34/0.92 % (17705)Instruction limit reached! 3.34/0.92 % (17705)------------------------------ 3.34/0.92 % (17705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.34/0.92 % (17705)Termination reason: Unknown 3.34/0.92 % (17705)Termination phase: Saturation 3.34/0.92 3.34/0.92 % (17705)Memory used [KB]: 7291 3.34/0.92 % (17705)Time elapsed: 0.289 s 3.34/0.92 % (17705)Instructions burned: 721 (million) 3.34/0.92 % (17705)------------------------------ 3.34/0.92 % (17705)------------------------------ 3.34/0.92 % (17734)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2995ds/231Mi) 3.77/0.93 % (17737)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi) 3.77/0.93 % (17731)Instruction limit reached! 3.77/0.93 % (17731)------------------------------ 3.77/0.93 % (17731)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.77/0.93 % (17731)Termination reason: Unknown 3.77/0.93 % (17731)Termination phase: Saturation 3.77/0.93 3.77/0.93 % (17731)Memory used [KB]: 6524 3.77/0.93 % (17731)Time elapsed: 0.065 s 3.77/0.93 % (17731)Instructions burned: 155 (million) 3.77/0.93 % (17731)------------------------------ 3.77/0.93 % (17731)------------------------------ 3.85/0.94 % (17735)Instruction limit reached! 3.85/0.94 % (17735)------------------------------ 3.85/0.94 % (17735)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.85/0.94 % (17735)Termination reason: Unknown 3.85/0.94 % (17735)Termination phase: Saturation 3.85/0.94 3.85/0.94 % (17735)Memory used [KB]: 1279 3.85/0.94 % (17735)Time elapsed: 0.021 s 3.85/0.94 % (17735)Instructions burned: 70 (million) 3.85/0.94 % (17735)------------------------------ 3.85/0.94 % (17735)------------------------------ 3.85/0.95 % (17736)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi) 3.85/0.95 % (17738)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on theBenchmark for (2994ds/130Mi) 3.85/0.96 % (17739)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on theBenchmark for (2994ds/570Mi) 3.85/0.96 % (17730)Instruction limit reached! 3.85/0.96 % (17730)------------------------------ 3.85/0.96 % (17730)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.85/0.96 % (17730)Termination reason: Unknown 3.85/0.96 % (17730)Termination phase: Saturation 3.85/0.96 3.85/0.96 % (17730)Memory used [KB]: 6268 3.85/0.96 % (17730)Time elapsed: 0.118 s 3.85/0.96 % (17730)Instructions burned: 204 (million) 3.85/0.96 % (17730)------------------------------ 3.85/0.96 % (17730)------------------------------ 3.85/0.98 % (17740)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi) 3.85/0.99 % (17738)Instruction limit reached! 3.85/0.99 % (17738)------------------------------ 3.85/0.99 % (17738)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.85/0.99 % (17738)Termination reason: Unknown 3.85/0.99 % (17738)Termination phase: Saturation 3.85/0.99 3.85/0.99 % (17738)Memory used [KB]: 5756 3.85/0.99 % (17738)Time elapsed: 0.035 s 3.85/0.99 % (17738)Instructions burned: 130 (million) 3.85/0.99 % (17738)------------------------------ 3.85/0.99 % (17738)------------------------------ 3.85/0.99 % (17737)Instruction limit reached! 3.85/0.99 % (17737)------------------------------ 3.85/0.99 % (17737)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.85/0.99 % (17737)Termination reason: Unknown 3.85/0.99 % (17737)Termination phase: Saturation 3.85/0.99 3.85/0.99 % (17737)Memory used [KB]: 5756 3.85/0.99 % (17737)Time elapsed: 0.065 s 3.85/0.99 % (17737)Instructions burned: 182 (million) 3.85/0.99 % (17737)------------------------------ 3.85/0.99 % (17737)------------------------------ 3.85/1.01 % (17741)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on theBenchmark for (2994ds/190Mi) 3.85/1.01 % (17734)Instruction limit reached! 3.85/1.01 % (17734)------------------------------ 3.85/1.01 % (17734)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.85/1.01 % (17734)Termination reason: Unknown 3.85/1.01 % (17734)Termination phase: Saturation 3.85/1.01 3.85/1.01 % (17734)Memory used [KB]: 5884 3.85/1.01 % (17734)Time elapsed: 0.091 s 3.85/1.01 % (17734)Instructions burned: 231 (million) 3.85/1.01 % (17734)------------------------------ 3.85/1.01 % (17734)------------------------------ 4.10/1.02 % (17742)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi) 4.10/1.03 % (17743)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi) 4.10/1.04 % (17727)Instruction limit reached! 4.10/1.04 % (17727)------------------------------ 4.10/1.04 % (17727)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.10/1.04 % (17727)Termination reason: Unknown 4.10/1.04 % (17727)Termination phase: Saturation 4.10/1.04 4.10/1.04 % (17727)Memory used [KB]: 11129 4.10/1.04 % (17727)Time elapsed: 0.215 s 4.10/1.04 % (17727)Instructions burned: 451 (million) 4.10/1.04 % (17727)------------------------------ 4.10/1.04 % (17727)------------------------------ 4.10/1.06 % (17744)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2993ds/368Mi) 4.10/1.07 % (17736)Refutation not found, incomplete strategy 4.10/1.07 % (17736)------------------------------ 4.10/1.07 % (17736)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.10/1.07 % (17736)Termination reason: Refutation not found, incomplete strategy 4.10/1.07 4.10/1.07 4.10/1.07 % (17736)Memory used [KB]: 6524 4.10/1.07 % (17736)Time elapsed: 0.140 s 4.10/1.07 % (17736)Instructions burned: 249 (million) 4.10/1.07 % (17736)------------------------------ 4.10/1.07 % (17736)------------------------------ 4.53/1.07 % (17732)Instruction limit reached! 4.53/1.07 % (17732)------------------------------ 4.53/1.07 % (17732)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.07 % (17732)Termination reason: Unknown 4.53/1.07 % (17732)Termination phase: Saturation 4.53/1.07 4.53/1.07 % (17732)Memory used [KB]: 6652 4.53/1.07 % (17732)Time elapsed: 0.185 s 4.53/1.07 % (17732)Instructions burned: 424 (million) 4.53/1.07 % (17732)------------------------------ 4.53/1.07 % (17732)------------------------------ 4.53/1.07 % (17742)Instruction limit reached! 4.53/1.07 % (17742)------------------------------ 4.53/1.07 % (17742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.07 % (17742)Termination reason: Unknown 4.53/1.07 % (17742)Termination phase: Saturation 4.53/1.07 4.53/1.07 % (17742)Memory used [KB]: 5884 4.53/1.07 % (17742)Time elapsed: 0.069 s 4.53/1.07 % (17742)Instructions burned: 96 (million) 4.53/1.07 % (17742)------------------------------ 4.53/1.07 % (17742)------------------------------ 4.53/1.08 % (17741)First to succeed. 4.53/1.08 % (17745)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on theBenchmark for (2993ds/390Mi) 4.53/1.08 % (17747)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on theBenchmark for (2993ds/279Mi) 4.53/1.09 % (17741)Refutation found. Thanks to Tanya! 4.53/1.09 % SZS status Theorem for theBenchmark 4.53/1.09 % SZS output start Proof for theBenchmark 4.53/1.09 thf(func_def_3, type, sP0: (($o > $o) > ($o > $o) > $o) > $o). 4.53/1.09 thf(func_def_4, type, sK1: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_5, type, sK2: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_6, type, sK3: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o). 4.53/1.09 thf(func_def_7, type, sK4: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_8, type, sK5: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o). 4.53/1.09 thf(func_def_9, type, sK6: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_10, type, sK7: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_11, type, sK8: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o). 4.53/1.09 thf(func_def_12, type, sK9: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o). 4.53/1.09 thf(func_def_13, type, sK10: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o). 4.53/1.09 thf(func_def_14, type, sK11: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_15, type, sK12: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_16, type, sK13: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_17, type, sK14: (($o > $o) > ($o > $o) > $o) > $o > $o). 4.53/1.09 thf(func_def_20, type, ph16: !>[X0: $tType]:(X0)). 4.53/1.09 thf(f1436,plain,( 4.53/1.09 $false), 4.53/1.09 inference(avatar_sat_refutation,[],[f96,f346,f570,f575,f580,f590,f685,f694,f707,f716,f719,f722,f768,f771,f788,f797,f802,f818,f837,f842,f847,f852,f897,f900,f907,f913,f918,f925,f926,f938,f947,f952,f962,f1019,f1030,f1047,f1054,f1057,f1060,f1068,f1081,f1088,f1093,f1110,f1113,f1123,f1140,f1145,f1164,f1175,f1178,f1187,f1190,f1193,f1198,f1225,f1244,f1248,f1254,f1265,f1274,f1288,f1289,f1293,f1298,f1301,f1302,f1305,f1315,f1318,f1323,f1327,f1331,f1337,f1351,f1358,f1364,f1366,f1373,f1374,f1377,f1409,f1414,f1422,f1430,f1434])). 4.53/1.09 thf(f1434,plain,( 4.53/1.09 spl15_70 | spl15_42 | spl15_51 | spl15_65), 4.53/1.09 inference(avatar_split_clause,[],[f1433,f1090,f915,f751,f1235])). 4.53/1.09 thf(f1235,plain,( 4.53/1.09 spl15_70 <=> (sK29 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_70])])). 4.53/1.09 thf(f751,plain,( 4.53/1.09 spl15_42 <=> ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_42])])). 4.53/1.09 thf(f915,plain,( 4.53/1.09 spl15_51 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_51])])). 4.53/1.09 thf(f1090,plain,( 4.53/1.09 spl15_65 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_65])])). 4.53/1.09 thf(f1433,plain,( 4.53/1.09 (sK29 = $true) | (spl15_42 | spl15_51 | spl15_65)), 4.53/1.09 inference(subsumption_resolution,[],[f1432,f1091])). 4.53/1.09 thf(f1091,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $false) | spl15_65), 4.53/1.09 inference(avatar_component_clause,[],[f1090])). 4.53/1.09 thf(f1432,plain,( 4.53/1.09 (sK29 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (spl15_42 | spl15_51)), 4.53/1.09 inference(subsumption_resolution,[],[f1073,f752])). 4.53/1.09 thf(f752,plain,( 4.53/1.09 ($false != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_42), 4.53/1.09 inference(avatar_component_clause,[],[f751])). 4.53/1.09 thf(f1073,plain,( 4.53/1.09 ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK29 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_51), 4.53/1.09 inference(binary_proxy_clausification,[],[f1071])). 4.53/1.09 thf(f1071,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK29 = $true) | spl15_51), 4.53/1.09 inference(cases_simplifying,[],[f1069])). 4.53/1.09 thf(f1069,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK29) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK29)) | spl15_51), 4.53/1.09 inference(negative_extensionality,[],[f917])). 4.53/1.09 thf(f917,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_51), 4.53/1.09 inference(avatar_component_clause,[],[f915])). 4.53/1.09 thf(f1430,plain,( 4.53/1.09 spl15_17 | ~spl15_38 | ~spl15_43 | spl15_71), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1429])). 4.53/1.09 thf(f1429,plain,( 4.53/1.09 $false | (spl15_17 | ~spl15_38 | ~spl15_43 | spl15_71)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1428])). 4.53/1.09 thf(f1428,plain,( 4.53/1.09 ($false = $true) | (spl15_17 | ~spl15_38 | ~spl15_43 | spl15_71)), 4.53/1.09 inference(forward_demodulation,[],[f1427,f783])). 4.53/1.09 thf(f783,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ~spl15_43), 4.53/1.09 inference(avatar_component_clause,[],[f781])). 4.53/1.09 thf(f781,plain,( 4.53/1.09 spl15_43 <=> ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_43])])). 4.53/1.09 thf(f1427,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_17 | ~spl15_38 | spl15_71)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1426])). 4.53/1.09 thf(f1426,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (spl15_17 | ~spl15_38 | spl15_71)), 4.53/1.09 inference(forward_demodulation,[],[f1425,f735])). 4.53/1.09 thf(f735,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ~spl15_38), 4.53/1.09 inference(avatar_component_clause,[],[f733])). 4.53/1.09 thf(f733,plain,( 4.53/1.09 spl15_38 <=> ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_38])])). 4.53/1.09 thf(f1425,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_17 | spl15_71)), 4.53/1.09 inference(subsumption_resolution,[],[f999,f1269])). 4.53/1.09 thf(f1269,plain,( 4.53/1.09 (sK26 != $false) | spl15_71), 4.53/1.09 inference(avatar_component_clause,[],[f1268])). 4.53/1.09 thf(f1268,plain,( 4.53/1.09 spl15_71 <=> (sK26 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_71])])). 4.53/1.09 thf(f999,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK26 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f995])). 4.53/1.09 thf(f995,plain,( 4.53/1.09 (sK26 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_17), 4.53/1.09 inference(cases_simplifying,[],[f994])). 4.53/1.09 thf(f994,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK26) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK26)) | spl15_17), 4.53/1.09 inference(negative_extensionality,[],[f589])). 4.53/1.09 thf(f589,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_17), 4.53/1.09 inference(avatar_component_clause,[],[f587])). 4.53/1.09 thf(f587,plain,( 4.53/1.09 spl15_17 <=> ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_17])])). 4.53/1.09 thf(f1422,plain,( 4.53/1.09 spl15_62 | spl15_57 | spl15_32 | spl15_48), 4.53/1.09 inference(avatar_split_clause,[],[f1421,f839,f691,f1012,f1044])). 4.53/1.09 thf(f1044,plain,( 4.53/1.09 spl15_62 <=> ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_62])])). 4.53/1.09 thf(f1012,plain,( 4.53/1.09 spl15_57 <=> (sK27 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_57])])). 4.53/1.09 thf(f691,plain,( 4.53/1.09 spl15_32 <=> ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_32])])). 4.53/1.09 thf(f839,plain,( 4.53/1.09 spl15_48 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_48])])). 4.53/1.09 thf(f1421,plain,( 4.53/1.09 (sK27 = $false) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_32 | spl15_48)), 4.53/1.09 inference(subsumption_resolution,[],[f1008,f692])). 4.53/1.09 thf(f692,plain,( 4.53/1.09 ($false != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_32), 4.53/1.09 inference(avatar_component_clause,[],[f691])). 4.53/1.09 thf(f1008,plain,( 4.53/1.09 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK27 = $false) | spl15_48), 4.53/1.09 inference(binary_proxy_clausification,[],[f1003])). 4.53/1.09 thf(f1003,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK27 = $false) | spl15_48), 4.53/1.09 inference(cases_simplifying,[],[f1002])). 4.53/1.09 thf(f1002,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK27) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK27)) | spl15_48), 4.53/1.09 inference(negative_extensionality,[],[f841])). 4.53/1.09 thf(f841,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_48), 4.53/1.09 inference(avatar_component_clause,[],[f839])). 4.53/1.09 thf(f1414,plain,( 4.53/1.09 spl15_13 | ~spl15_31 | spl15_56 | spl15_68), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1413])). 4.53/1.09 thf(f1413,plain,( 4.53/1.09 $false | (spl15_13 | ~spl15_31 | spl15_56 | spl15_68)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1412])). 4.53/1.09 thf(f1412,plain,( 4.53/1.09 ($false = $true) | (spl15_13 | ~spl15_31 | spl15_56 | spl15_68)), 4.53/1.09 inference(forward_demodulation,[],[f1411,f689])). 4.53/1.09 thf(f689,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ~spl15_31), 4.53/1.09 inference(avatar_component_clause,[],[f687])). 4.53/1.09 thf(f687,plain,( 4.53/1.09 spl15_31 <=> ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_31])])). 4.53/1.09 thf(f1411,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_13 | spl15_56 | spl15_68)), 4.53/1.09 inference(subsumption_resolution,[],[f1410,f1143])). 4.53/1.09 thf(f1143,plain,( 4.53/1.09 (sK25 != $false) | spl15_68), 4.53/1.09 inference(avatar_component_clause,[],[f1142])). 4.53/1.09 thf(f1142,plain,( 4.53/1.09 spl15_68 <=> (sK25 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_68])])). 4.53/1.09 thf(f1410,plain,( 4.53/1.09 (sK25 = $false) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_13 | spl15_56)), 4.53/1.09 inference(subsumption_resolution,[],[f990,f969])). 4.53/1.09 thf(f969,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $true) | spl15_56), 4.53/1.09 inference(avatar_component_clause,[],[f968])). 4.53/1.09 thf(f968,plain,( 4.53/1.09 spl15_56 <=> ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_56])])). 4.53/1.09 thf(f990,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK25 = $false) | spl15_13), 4.53/1.09 inference(binary_proxy_clausification,[],[f986])). 4.53/1.09 thf(f986,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK25 = $false) | spl15_13), 4.53/1.09 inference(cases_simplifying,[],[f985])). 4.53/1.09 thf(f985,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK25) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK25)) | spl15_13), 4.53/1.09 inference(negative_extensionality,[],[f569])). 4.53/1.09 thf(f569,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_13), 4.53/1.09 inference(avatar_component_clause,[],[f567])). 4.53/1.09 thf(f567,plain,( 4.53/1.09 spl15_13 <=> ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_13])])). 4.53/1.09 thf(f1409,plain,( 4.53/1.09 spl15_37 | spl15_49 | ~spl15_61 | spl15_65), 4.53/1.09 inference(avatar_split_clause,[],[f1408,f1090,f1040,f844,f713])). 4.53/1.09 thf(f713,plain,( 4.53/1.09 spl15_37 <=> ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_37])])). 4.53/1.09 thf(f844,plain,( 4.53/1.09 spl15_49 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_49])])). 4.53/1.09 thf(f1040,plain,( 4.53/1.09 spl15_61 <=> (sK28 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_61])])). 4.53/1.09 thf(f1408,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_49 | ~spl15_61 | spl15_65)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1407])). 4.53/1.09 thf(f1407,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (spl15_49 | ~spl15_61 | spl15_65)), 4.53/1.09 inference(forward_demodulation,[],[f1406,f1042])). 4.53/1.09 thf(f1042,plain,( 4.53/1.09 (sK28 = $false) | ~spl15_61), 4.53/1.09 inference(avatar_component_clause,[],[f1040])). 4.53/1.09 thf(f1406,plain,( 4.53/1.09 (sK28 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_49 | spl15_65)), 4.53/1.09 inference(subsumption_resolution,[],[f1035,f1091])). 4.53/1.09 thf(f1035,plain,( 4.53/1.09 (sK28 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_49), 4.53/1.09 inference(binary_proxy_clausification,[],[f1033])). 4.53/1.09 thf(f1033,plain,( 4.53/1.09 (sK28 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_49), 4.53/1.09 inference(cases_simplifying,[],[f1031])). 4.53/1.09 thf(f1031,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK28) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK28)) | spl15_49), 4.53/1.09 inference(negative_extensionality,[],[f846])). 4.53/1.09 thf(f846,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_49), 4.53/1.09 inference(avatar_component_clause,[],[f844])). 4.53/1.09 thf(f1377,plain,( 4.53/1.09 spl15_15 | ~spl15_31 | ~spl15_43 | spl15_44), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1376])). 4.53/1.09 thf(f1376,plain,( 4.53/1.09 $false | (spl15_15 | ~spl15_31 | ~spl15_43 | spl15_44)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1375])). 4.53/1.09 thf(f1375,plain,( 4.53/1.09 ($false = $true) | (spl15_15 | ~spl15_31 | ~spl15_43 | spl15_44)), 4.53/1.09 inference(backward_demodulation,[],[f1355,f783])). 4.53/1.09 thf(f1355,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_15 | ~spl15_31 | spl15_44)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1354])). 4.53/1.09 thf(f1354,plain,( 4.53/1.09 ($false = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_15 | ~spl15_31 | spl15_44)), 4.53/1.09 inference(forward_demodulation,[],[f1353,f689])). 4.53/1.09 thf(f1353,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_15 | spl15_44)), 4.53/1.09 inference(subsumption_resolution,[],[f778,f786])). 4.53/1.09 thf(f786,plain,( 4.53/1.09 (sK21 != $false) | spl15_44), 4.53/1.09 inference(avatar_component_clause,[],[f785])). 4.53/1.09 thf(f785,plain,( 4.53/1.09 spl15_44 <=> (sK21 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_44])])). 4.53/1.09 thf(f778,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK21 = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_15), 4.53/1.09 inference(binary_proxy_clausification,[],[f774])). 4.53/1.09 thf(f774,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK21 = $false) | spl15_15), 4.53/1.09 inference(cases_simplifying,[],[f773])). 4.53/1.09 thf(f773,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK21) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK21)) | spl15_15), 4.53/1.09 inference(negative_extensionality,[],[f579])). 4.53/1.09 thf(f579,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_15), 4.53/1.09 inference(avatar_component_clause,[],[f577])). 4.53/1.09 thf(f577,plain,( 4.53/1.09 spl15_15 <=> ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_15])])). 4.53/1.09 thf(f1374,plain,( 4.53/1.09 spl15_32 | spl15_43 | spl15_52 | spl15_50), 4.53/1.09 inference(avatar_split_clause,[],[f886,f849,f922,f781,f691])). 4.53/1.09 thf(f922,plain,( 4.53/1.09 spl15_52 <=> (sK24 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_52])])). 4.53/1.09 thf(f849,plain,( 4.53/1.09 spl15_50 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_50])])). 4.53/1.09 thf(f886,plain,( 4.53/1.09 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (sK24 = $false) | spl15_50), 4.53/1.09 inference(binary_proxy_clausification,[],[f881])). 4.53/1.09 thf(f881,plain,( 4.53/1.09 (sK24 = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_50), 4.53/1.09 inference(cases_simplifying,[],[f880])). 4.53/1.09 thf(f880,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK24) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK24)) | spl15_50), 4.53/1.09 inference(negative_extensionality,[],[f851])). 4.53/1.09 thf(f851,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_50), 4.53/1.09 inference(avatar_component_clause,[],[f849])). 4.53/1.09 thf(f1373,plain,( 4.53/1.09 spl15_60 | ~spl15_42 | spl15_51 | ~spl15_64), 4.53/1.09 inference(avatar_split_clause,[],[f1372,f1078,f915,f751,f1027])). 4.53/1.09 thf(f1027,plain,( 4.53/1.09 spl15_60 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_60])])). 4.53/1.09 thf(f1078,plain,( 4.53/1.09 spl15_64 <=> ($false = sK29)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_64])])). 4.53/1.09 thf(f1372,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_42 | spl15_51 | ~spl15_64)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1371])). 4.53/1.09 thf(f1371,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_42 | spl15_51 | ~spl15_64)), 4.53/1.09 inference(forward_demodulation,[],[f1370,f753])). 4.53/1.09 thf(f753,plain,( 4.53/1.09 ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_42), 4.53/1.09 inference(avatar_component_clause,[],[f751])). 4.53/1.09 thf(f1370,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_51 | ~spl15_64)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1369])). 4.53/1.09 thf(f1369,plain,( 4.53/1.09 ($false = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_51 | ~spl15_64)), 4.53/1.09 inference(forward_demodulation,[],[f1072,f1080])). 4.53/1.09 thf(f1080,plain,( 4.53/1.09 ($false = sK29) | ~spl15_64), 4.53/1.09 inference(avatar_component_clause,[],[f1078])). 4.53/1.09 thf(f1072,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK29 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_51), 4.53/1.09 inference(binary_proxy_clausification,[],[f1071])). 4.53/1.09 thf(f1366,plain,( 4.53/1.09 spl15_55 | spl15_36 | spl15_47 | spl15_50), 4.53/1.09 inference(avatar_split_clause,[],[f1365,f849,f799,f709,f941])). 4.53/1.09 thf(f941,plain,( 4.53/1.09 spl15_55 <=> (sK24 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_55])])). 4.53/1.09 thf(f709,plain,( 4.53/1.09 spl15_36 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_36])])). 4.53/1.09 thf(f799,plain,( 4.53/1.09 spl15_47 <=> ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_47])])). 4.53/1.09 thf(f1365,plain,( 4.53/1.09 (sK24 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (spl15_47 | spl15_50)), 4.53/1.09 inference(subsumption_resolution,[],[f884,f800])). 4.53/1.09 thf(f800,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $false) | spl15_47), 4.53/1.09 inference(avatar_component_clause,[],[f799])). 4.53/1.09 thf(f884,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK24 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_50), 4.53/1.09 inference(binary_proxy_clausification,[],[f882])). 4.53/1.09 thf(f882,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK24 = $true) | spl15_50), 4.53/1.09 inference(cases_simplifying,[],[f880])). 4.53/1.09 thf(f1364,plain,( 4.53/1.09 spl15_58 | ~spl15_31 | spl15_49 | ~spl15_63), 4.53/1.09 inference(avatar_split_clause,[],[f1363,f1051,f844,f687,f1016])). 4.53/1.09 thf(f1016,plain,( 4.53/1.09 spl15_58 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_58])])). 4.53/1.09 thf(f1051,plain,( 4.53/1.09 spl15_63 <=> (sK28 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_63])])). 4.53/1.09 thf(f1363,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_31 | spl15_49 | ~spl15_63)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1362])). 4.53/1.09 thf(f1362,plain,( 4.53/1.09 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_31 | spl15_49 | ~spl15_63)), 4.53/1.09 inference(forward_demodulation,[],[f1361,f1053])). 4.53/1.09 thf(f1053,plain,( 4.53/1.09 (sK28 = $true) | ~spl15_63), 4.53/1.09 inference(avatar_component_clause,[],[f1051])). 4.53/1.09 thf(f1361,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK28 = $false) | (~spl15_31 | spl15_49)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1360])). 4.53/1.09 thf(f1360,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (sK28 = $false) | (~spl15_31 | spl15_49)), 4.53/1.09 inference(forward_demodulation,[],[f1036,f689])). 4.53/1.09 thf(f1036,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK28 = $false) | spl15_49), 4.53/1.09 inference(binary_proxy_clausification,[],[f1032])). 4.53/1.09 thf(f1032,plain,( 4.53/1.09 (sK28 = $false) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_49), 4.53/1.09 inference(cases_simplifying,[],[f1031])). 4.53/1.09 thf(f1358,plain,( 4.53/1.09 spl15_62 | spl15_43 | spl15_54 | spl15_67), 4.53/1.09 inference(avatar_split_clause,[],[f1357,f1137,f935,f781,f1044])). 4.53/1.09 thf(f935,plain,( 4.53/1.09 spl15_54 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_54])])). 4.53/1.09 thf(f1137,plain,( 4.53/1.09 spl15_67 <=> (sK30 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_67])])). 4.53/1.09 thf(f1357,plain,( 4.53/1.09 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_43 | spl15_54 | spl15_67)), 4.53/1.09 inference(subsumption_resolution,[],[f1356,f1138])). 4.53/1.09 thf(f1138,plain,( 4.53/1.09 (sK30 != $false) | spl15_67), 4.53/1.09 inference(avatar_component_clause,[],[f1137])). 4.53/1.09 thf(f1356,plain,( 4.53/1.09 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK30 = $false) | (spl15_43 | spl15_54)), 4.53/1.09 inference(subsumption_resolution,[],[f1102,f782])). 4.53/1.09 thf(f782,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $false) | spl15_43), 4.53/1.09 inference(avatar_component_clause,[],[f781])). 4.53/1.09 thf(f1102,plain,( 4.53/1.09 (sK30 = $false) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | spl15_54), 4.53/1.09 inference(binary_proxy_clausification,[],[f1097])). 4.53/1.09 thf(f1097,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK30 = $false) | spl15_54), 4.53/1.09 inference(cases_simplifying,[],[f1096])). 4.53/1.09 thf(f1096,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK30) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK30)) | spl15_54), 4.53/1.09 inference(negative_extensionality,[],[f937])). 4.53/1.09 thf(f937,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_54), 4.53/1.09 inference(avatar_component_clause,[],[f935])). 4.53/1.09 thf(f1351,plain,( 4.53/1.09 spl15_32 | spl15_53 | spl15_14 | spl15_38), 4.53/1.09 inference(avatar_split_clause,[],[f1350,f733,f572,f930,f691])). 4.53/1.09 thf(f930,plain,( 4.53/1.09 spl15_53 <=> (sK20 = $false)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_53])])). 4.53/1.09 thf(f572,plain,( 4.53/1.09 spl15_14 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_14])])). 4.53/1.09 thf(f1350,plain,( 4.53/1.09 (sK20 = $false) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_14 | spl15_38)), 4.53/1.09 inference(subsumption_resolution,[],[f761,f734])). 4.53/1.09 thf(f734,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $false) | spl15_38), 4.53/1.09 inference(avatar_component_clause,[],[f733])). 4.53/1.09 thf(f761,plain,( 4.53/1.09 (sK20 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_14), 4.53/1.09 inference(binary_proxy_clausification,[],[f756])). 4.53/1.09 thf(f756,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK20 = $false) | spl15_14), 4.53/1.09 inference(cases_simplifying,[],[f755])). 4.53/1.09 thf(f755,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK20) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK20)) | spl15_14), 4.53/1.09 inference(negative_extensionality,[],[f574])). 4.53/1.09 thf(f574,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_14), 4.53/1.09 inference(avatar_component_clause,[],[f572])). 4.53/1.09 thf(f1337,plain,( 4.53/1.09 spl15_17 | ~spl15_42 | ~spl15_47 | spl15_69), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1336])). 4.53/1.09 thf(f1336,plain,( 4.53/1.09 $false | (spl15_17 | ~spl15_42 | ~spl15_47 | spl15_69)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1335])). 4.53/1.09 thf(f1335,plain,( 4.53/1.09 ($false = $true) | (spl15_17 | ~spl15_42 | ~spl15_47 | spl15_69)), 4.53/1.09 inference(forward_demodulation,[],[f1334,f753])). 4.53/1.09 thf(f1334,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_17 | ~spl15_47 | spl15_69)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1333])). 4.53/1.09 thf(f1333,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (spl15_17 | ~spl15_47 | spl15_69)), 4.53/1.09 inference(forward_demodulation,[],[f1332,f801])). 4.53/1.09 thf(f801,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ~spl15_47), 4.53/1.09 inference(avatar_component_clause,[],[f799])). 4.53/1.09 thf(f1332,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_17 | spl15_69)), 4.53/1.09 inference(subsumption_resolution,[],[f997,f1185])). 4.53/1.09 thf(f1185,plain,( 4.53/1.09 (sK26 != $true) | spl15_69), 4.53/1.09 inference(avatar_component_clause,[],[f1184])). 4.53/1.09 thf(f1184,plain,( 4.53/1.09 spl15_69 <=> (sK26 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_69])])). 4.53/1.09 thf(f997,plain,( 4.53/1.09 (sK26 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f996])). 4.53/1.09 thf(f996,plain,( 4.53/1.09 (sK26 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_17), 4.53/1.09 inference(cases_simplifying,[],[f994])). 4.53/1.09 thf(f1331,plain,( 4.53/1.09 spl15_56 | spl15_53 | spl15_14 | ~spl15_32), 4.53/1.09 inference(avatar_split_clause,[],[f1330,f691,f572,f930,f968])). 4.53/1.09 thf(f1330,plain,( 4.53/1.09 (sK20 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_14 | ~spl15_32)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1329])). 4.53/1.09 thf(f1329,plain,( 4.53/1.09 (sK20 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (spl15_14 | ~spl15_32)), 4.53/1.09 inference(forward_demodulation,[],[f760,f693])). 4.53/1.09 thf(f693,plain,( 4.53/1.09 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_32), 4.53/1.09 inference(avatar_component_clause,[],[f691])). 4.53/1.09 thf(f760,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK20 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_14), 4.53/1.09 inference(binary_proxy_clausification,[],[f756])). 4.53/1.09 thf(f1327,plain,( 4.53/1.09 spl15_70 | ~spl15_42 | spl15_51 | spl15_60), 4.53/1.09 inference(avatar_split_clause,[],[f1326,f1027,f915,f751,f1235])). 4.53/1.09 thf(f1326,plain,( 4.53/1.09 (sK29 = $true) | (~spl15_42 | spl15_51 | spl15_60)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1325])). 4.53/1.09 thf(f1325,plain,( 4.53/1.09 ($false = $true) | (sK29 = $true) | (~spl15_42 | spl15_51 | spl15_60)), 4.53/1.09 inference(forward_demodulation,[],[f1324,f753])). 4.53/1.09 thf(f1324,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK29 = $true) | (spl15_51 | spl15_60)), 4.53/1.09 inference(subsumption_resolution,[],[f1072,f1028])). 4.53/1.09 thf(f1028,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $true) | spl15_60), 4.53/1.09 inference(avatar_component_clause,[],[f1027])). 4.53/1.09 thf(f1323,plain,( 4.53/1.09 spl15_38 | spl15_71 | spl15_17 | spl15_43), 4.53/1.09 inference(avatar_split_clause,[],[f1322,f781,f587,f1268,f733])). 4.53/1.09 thf(f1322,plain,( 4.53/1.09 (sK26 = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (spl15_17 | spl15_43)), 4.53/1.09 inference(subsumption_resolution,[],[f1000,f782])). 4.53/1.09 thf(f1000,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (sK26 = $false) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f995])). 4.53/1.09 thf(f1318,plain,( 4.53/1.09 ~spl15_64 | ~spl15_70), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1317])). 4.53/1.09 thf(f1317,plain,( 4.53/1.09 $false | (~spl15_64 | ~spl15_70)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1316])). 4.53/1.09 thf(f1316,plain,( 4.53/1.09 ($false = $true) | (~spl15_64 | ~spl15_70)), 4.53/1.09 inference(backward_demodulation,[],[f1237,f1080])). 4.53/1.09 thf(f1237,plain,( 4.53/1.09 (sK29 = $true) | ~spl15_70), 4.53/1.09 inference(avatar_component_clause,[],[f1235])). 4.53/1.09 thf(f1315,plain,( 4.53/1.09 ~spl15_38 | spl15_51 | ~spl15_62 | spl15_64), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1314])). 4.53/1.09 thf(f1314,plain,( 4.53/1.09 $false | (~spl15_38 | spl15_51 | ~spl15_62 | spl15_64)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1313])). 4.53/1.09 thf(f1313,plain,( 4.53/1.09 ($false = $true) | (~spl15_38 | spl15_51 | ~spl15_62 | spl15_64)), 4.53/1.09 inference(forward_demodulation,[],[f1312,f1046])). 4.53/1.09 thf(f1046,plain,( 4.53/1.09 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_62), 4.53/1.09 inference(avatar_component_clause,[],[f1044])). 4.53/1.09 thf(f1312,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_38 | spl15_51 | spl15_64)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1311])). 4.53/1.09 thf(f1311,plain,( 4.53/1.09 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_38 | spl15_51 | spl15_64)), 4.53/1.09 inference(forward_demodulation,[],[f1310,f735])). 4.53/1.09 thf(f1310,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_51 | spl15_64)), 4.53/1.09 inference(subsumption_resolution,[],[f1074,f1079])). 4.53/1.09 thf(f1079,plain,( 4.53/1.09 ($false != sK29) | spl15_64), 4.53/1.09 inference(avatar_component_clause,[],[f1078])). 4.53/1.09 thf(f1074,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK29) | spl15_51), 4.53/1.09 inference(binary_proxy_clausification,[],[f1070])). 4.53/1.09 thf(f1070,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK29) | spl15_51), 4.53/1.09 inference(cases_simplifying,[],[f1069])). 4.53/1.09 thf(f1305,plain,( 4.53/1.09 ~spl15_38 | ~spl15_56), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1304])). 4.53/1.09 thf(f1304,plain,( 4.53/1.09 $false | (~spl15_38 | ~spl15_56)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1303])). 4.53/1.09 thf(f1303,plain,( 4.53/1.09 ($false = $true) | (~spl15_38 | ~spl15_56)), 4.53/1.09 inference(backward_demodulation,[],[f970,f735])). 4.53/1.09 thf(f970,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_56), 4.53/1.09 inference(avatar_component_clause,[],[f968])). 4.53/1.09 thf(f1302,plain,( 4.53/1.09 spl15_66 | spl15_47 | spl15_54 | spl15_65), 4.53/1.09 inference(avatar_split_clause,[],[f1295,f1090,f935,f799,f1115])). 4.53/1.09 thf(f1115,plain,( 4.53/1.09 spl15_66 <=> (sK30 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_66])])). 4.53/1.09 thf(f1295,plain,( 4.53/1.09 (sK30 = $true) | (spl15_47 | spl15_54 | spl15_65)), 4.53/1.09 inference(subsumption_resolution,[],[f1294,f800])). 4.53/1.09 thf(f1294,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK30 = $true) | (spl15_54 | spl15_65)), 4.53/1.09 inference(subsumption_resolution,[],[f1100,f1091])). 4.53/1.09 thf(f1100,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK30 = $true) | spl15_54), 4.53/1.09 inference(binary_proxy_clausification,[],[f1098])). 4.53/1.09 thf(f1098,plain,( 4.53/1.09 (sK30 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_54), 4.53/1.09 inference(cases_simplifying,[],[f1096])). 4.53/1.09 thf(f1301,plain,( 4.53/1.09 ~spl15_69 | ~spl15_71), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1300])). 4.53/1.09 thf(f1300,plain,( 4.53/1.09 $false | (~spl15_69 | ~spl15_71)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1299])). 4.53/1.09 thf(f1299,plain,( 4.53/1.09 ($false = $true) | (~spl15_69 | ~spl15_71)), 4.53/1.09 inference(backward_demodulation,[],[f1186,f1270])). 4.53/1.09 thf(f1270,plain,( 4.53/1.09 (sK26 = $false) | ~spl15_71), 4.53/1.09 inference(avatar_component_clause,[],[f1268])). 4.53/1.09 thf(f1186,plain,( 4.53/1.09 (sK26 = $true) | ~spl15_69), 4.53/1.09 inference(avatar_component_clause,[],[f1184])). 4.53/1.09 thf(f1298,plain,( 4.53/1.09 spl15_47 | spl15_54 | spl15_65 | ~spl15_67), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1297])). 4.53/1.09 thf(f1297,plain,( 4.53/1.09 $false | (spl15_47 | spl15_54 | spl15_65 | ~spl15_67)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1296])). 4.53/1.09 thf(f1296,plain,( 4.53/1.09 ($false = $true) | (spl15_47 | spl15_54 | spl15_65 | ~spl15_67)), 4.53/1.09 inference(forward_demodulation,[],[f1295,f1139])). 4.53/1.09 thf(f1139,plain,( 4.53/1.09 (sK30 = $false) | ~spl15_67), 4.53/1.09 inference(avatar_component_clause,[],[f1137])). 4.53/1.09 thf(f1293,plain,( 4.53/1.09 ~spl15_66 | ~spl15_67), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1292])). 4.53/1.09 thf(f1292,plain,( 4.53/1.09 $false | (~spl15_66 | ~spl15_67)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1291])). 4.53/1.09 thf(f1291,plain,( 4.53/1.09 ($false = $true) | (~spl15_66 | ~spl15_67)), 4.53/1.09 inference(forward_demodulation,[],[f1117,f1139])). 4.53/1.09 thf(f1117,plain,( 4.53/1.09 (sK30 = $true) | ~spl15_66), 4.53/1.09 inference(avatar_component_clause,[],[f1115])). 4.53/1.09 thf(f1289,plain,( 4.53/1.09 spl15_45 | ~spl15_36 | spl15_50 | ~spl15_52), 4.53/1.09 inference(avatar_split_clause,[],[f1285,f922,f849,f709,f790])). 4.53/1.09 thf(f790,plain,( 4.53/1.09 spl15_45 <=> ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_45])])). 4.53/1.09 thf(f1285,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_36 | spl15_50 | ~spl15_52)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1284])). 4.53/1.09 thf(f1284,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_36 | spl15_50 | ~spl15_52)), 4.53/1.09 inference(forward_demodulation,[],[f1283,f711])). 4.53/1.09 thf(f711,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ~spl15_36), 4.53/1.09 inference(avatar_component_clause,[],[f709])). 4.53/1.09 thf(f1283,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_50 | ~spl15_52)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1282])). 4.53/1.09 thf(f1282,plain,( 4.53/1.09 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_50 | ~spl15_52)), 4.53/1.09 inference(forward_demodulation,[],[f883,f924])). 4.53/1.09 thf(f924,plain,( 4.53/1.09 (sK24 = $false) | ~spl15_52), 4.53/1.09 inference(avatar_component_clause,[],[f922])). 4.53/1.09 thf(f883,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK24 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_50), 4.53/1.09 inference(binary_proxy_clausification,[],[f882])). 4.53/1.09 thf(f1288,plain,( 4.53/1.09 ~spl15_36 | ~spl15_47 | spl15_50 | ~spl15_52), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1287])). 4.53/1.09 thf(f1287,plain,( 4.53/1.09 $false | (~spl15_36 | ~spl15_47 | spl15_50 | ~spl15_52)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1286])). 4.53/1.09 thf(f1286,plain,( 4.53/1.09 ($false = $true) | (~spl15_36 | ~spl15_47 | spl15_50 | ~spl15_52)), 4.53/1.09 inference(forward_demodulation,[],[f1285,f801])). 4.53/1.09 thf(f1274,plain,( 4.53/1.09 spl15_65 | spl15_36 | spl15_48 | ~spl15_57), 4.53/1.09 inference(avatar_split_clause,[],[f1273,f1012,f839,f709,f1090])). 4.53/1.09 thf(f1273,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (spl15_48 | ~spl15_57)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1272])). 4.53/1.09 thf(f1272,plain,( 4.53/1.09 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (spl15_48 | ~spl15_57)), 4.53/1.09 inference(forward_demodulation,[],[f1006,f1014])). 4.53/1.09 thf(f1014,plain,( 4.53/1.09 (sK27 = $false) | ~spl15_57), 4.53/1.09 inference(avatar_component_clause,[],[f1012])). 4.53/1.09 thf(f1006,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK27 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_48), 4.53/1.09 inference(binary_proxy_clausification,[],[f1004])). 4.53/1.09 thf(f1004,plain,( 4.53/1.09 (sK27 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_48), 4.53/1.09 inference(cases_simplifying,[],[f1002])). 4.53/1.09 thf(f1265,plain,( 4.53/1.09 spl15_60 | ~spl15_47 | spl15_54 | ~spl15_67), 4.53/1.09 inference(avatar_split_clause,[],[f1264,f1137,f935,f799,f1027])). 4.53/1.09 thf(f1264,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_47 | spl15_54 | ~spl15_67)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1263])). 4.53/1.09 thf(f1263,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_47 | spl15_54 | ~spl15_67)), 4.53/1.09 inference(forward_demodulation,[],[f1262,f1139])). 4.53/1.09 thf(f1262,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK30 = $true) | (~spl15_47 | spl15_54)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1261])). 4.53/1.09 thf(f1261,plain,( 4.53/1.09 (sK30 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_47 | spl15_54)), 4.53/1.09 inference(forward_demodulation,[],[f1099,f801])). 4.53/1.09 thf(f1099,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK30 = $true) | spl15_54), 4.53/1.09 inference(binary_proxy_clausification,[],[f1098])). 4.53/1.09 thf(f1254,plain,( 4.53/1.09 ~spl15_44 | ~spl15_46), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1253])). 4.53/1.09 thf(f1253,plain,( 4.53/1.09 $false | (~spl15_44 | ~spl15_46)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1252])). 4.53/1.09 thf(f1252,plain,( 4.53/1.09 ($false = $true) | (~spl15_44 | ~spl15_46)), 4.53/1.09 inference(backward_demodulation,[],[f796,f787])). 4.53/1.09 thf(f787,plain,( 4.53/1.09 (sK21 = $false) | ~spl15_44), 4.53/1.09 inference(avatar_component_clause,[],[f785])). 4.53/1.09 thf(f796,plain,( 4.53/1.09 (sK21 = $true) | ~spl15_46), 4.53/1.09 inference(avatar_component_clause,[],[f794])). 4.53/1.09 thf(f794,plain,( 4.53/1.09 spl15_46 <=> (sK21 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_46])])). 4.53/1.09 thf(f1248,plain,( 4.53/1.09 spl15_63 | ~spl15_37 | spl15_49 | spl15_60), 4.53/1.09 inference(avatar_split_clause,[],[f1247,f1027,f844,f713,f1051])). 4.53/1.09 thf(f1247,plain,( 4.53/1.09 (sK28 = $true) | (~spl15_37 | spl15_49 | spl15_60)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1246])). 4.53/1.09 thf(f1246,plain,( 4.53/1.09 ($false = $true) | (sK28 = $true) | (~spl15_37 | spl15_49 | spl15_60)), 4.53/1.09 inference(forward_demodulation,[],[f1245,f715])). 4.53/1.09 thf(f715,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_37), 4.53/1.09 inference(avatar_component_clause,[],[f713])). 4.53/1.09 thf(f1245,plain,( 4.53/1.09 (sK28 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_49 | spl15_60)), 4.53/1.09 inference(subsumption_resolution,[],[f1034,f1028])). 4.53/1.09 thf(f1034,plain,( 4.53/1.09 (sK28 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_49), 4.53/1.09 inference(binary_proxy_clausification,[],[f1033])). 4.53/1.09 thf(f1244,plain,( 4.53/1.09 spl15_66 | ~spl15_47 | spl15_54 | spl15_60), 4.53/1.09 inference(avatar_split_clause,[],[f1243,f1027,f935,f799,f1115])). 4.53/1.09 thf(f1243,plain,( 4.53/1.09 (sK30 = $true) | (~spl15_47 | spl15_54 | spl15_60)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1242])). 4.53/1.09 thf(f1242,plain,( 4.53/1.09 (sK30 = $true) | ($false = $true) | (~spl15_47 | spl15_54 | spl15_60)), 4.53/1.09 inference(forward_demodulation,[],[f1241,f801])). 4.53/1.09 thf(f1241,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK30 = $true) | (spl15_54 | spl15_60)), 4.53/1.09 inference(subsumption_resolution,[],[f1099,f1028])). 4.53/1.09 thf(f1225,plain,( 4.53/1.09 ~spl15_37 | spl15_49 | spl15_63 | ~spl15_65), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1224])). 4.53/1.09 thf(f1224,plain,( 4.53/1.09 $false | (~spl15_37 | spl15_49 | spl15_63 | ~spl15_65)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1223])). 4.53/1.09 thf(f1223,plain,( 4.53/1.09 ($false = $true) | (~spl15_37 | spl15_49 | spl15_63 | ~spl15_65)), 4.53/1.09 inference(forward_demodulation,[],[f1222,f1092])). 4.53/1.09 thf(f1092,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ~spl15_65), 4.53/1.09 inference(avatar_component_clause,[],[f1090])). 4.53/1.09 thf(f1222,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_37 | spl15_49 | spl15_63)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1221])). 4.53/1.09 thf(f1221,plain,( 4.53/1.09 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_37 | spl15_49 | spl15_63)), 4.53/1.09 inference(forward_demodulation,[],[f1220,f715])). 4.53/1.09 thf(f1220,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_49 | spl15_63)), 4.53/1.09 inference(subsumption_resolution,[],[f1034,f1052])). 4.53/1.09 thf(f1052,plain,( 4.53/1.09 (sK28 != $true) | spl15_63), 4.53/1.09 inference(avatar_component_clause,[],[f1051])). 4.53/1.09 thf(f1198,plain,( 4.53/1.09 spl15_14 | spl15_36 | spl15_42 | ~spl15_53), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1197])). 4.53/1.09 thf(f1197,plain,( 4.53/1.09 $false | (spl15_14 | spl15_36 | spl15_42 | ~spl15_53)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1196])). 4.53/1.09 thf(f1196,plain,( 4.53/1.09 ($false = $true) | (spl15_14 | spl15_36 | spl15_42 | ~spl15_53)), 4.53/1.09 inference(forward_demodulation,[],[f1195,f932])). 4.53/1.09 thf(f932,plain,( 4.53/1.09 (sK20 = $false) | ~spl15_53), 4.53/1.09 inference(avatar_component_clause,[],[f930])). 4.53/1.09 thf(f1195,plain,( 4.53/1.09 (sK20 = $true) | (spl15_14 | spl15_36 | spl15_42)), 4.53/1.09 inference(subsumption_resolution,[],[f1194,f752])). 4.53/1.09 thf(f1194,plain,( 4.53/1.09 (sK20 = $true) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_14 | spl15_36)), 4.53/1.09 inference(subsumption_resolution,[],[f759,f710])). 4.53/1.09 thf(f710,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $false) | spl15_36), 4.53/1.09 inference(avatar_component_clause,[],[f709])). 4.53/1.09 thf(f759,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK20 = $true) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_14), 4.53/1.09 inference(binary_proxy_clausification,[],[f757])). 4.53/1.09 thf(f757,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK20 = $true) | spl15_14), 4.53/1.09 inference(cases_simplifying,[],[f755])). 4.53/1.09 thf(f1193,plain,( 4.53/1.09 spl15_42 | spl15_37 | spl15_13 | ~spl15_68), 4.53/1.09 inference(avatar_split_clause,[],[f1192,f1142,f567,f713,f751])). 4.53/1.09 thf(f1192,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_13 | ~spl15_68)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1191])). 4.53/1.09 thf(f1191,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (spl15_13 | ~spl15_68)), 4.53/1.09 inference(forward_demodulation,[],[f989,f1144])). 4.53/1.09 thf(f1144,plain,( 4.53/1.09 (sK25 = $false) | ~spl15_68), 4.53/1.09 inference(avatar_component_clause,[],[f1142])). 4.53/1.09 thf(f989,plain,( 4.53/1.09 (sK25 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_13), 4.53/1.09 inference(binary_proxy_clausification,[],[f987])). 4.53/1.09 thf(f987,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK25 = $true) | spl15_13), 4.53/1.09 inference(cases_simplifying,[],[f985])). 4.53/1.09 thf(f1190,plain,( 4.53/1.09 spl15_40 | spl15_33 | spl15_13 | ~spl15_68), 4.53/1.09 inference(avatar_split_clause,[],[f1189,f1142,f567,f696,f742])). 4.53/1.09 thf(f742,plain,( 4.53/1.09 spl15_40 <=> ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_40])])). 4.53/1.09 thf(f696,plain,( 4.53/1.09 spl15_33 <=> ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_33])])). 4.53/1.09 thf(f1189,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_13 | ~spl15_68)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1188])). 4.53/1.09 thf(f1188,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_13 | ~spl15_68)), 4.53/1.09 inference(forward_demodulation,[],[f988,f1144])). 4.53/1.09 thf(f988,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK25 = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_13), 4.53/1.09 inference(binary_proxy_clausification,[],[f987])). 4.53/1.09 thf(f1187,plain,( 4.53/1.09 spl15_69 | spl15_42 | spl15_17 | spl15_47), 4.53/1.09 inference(avatar_split_clause,[],[f1182,f799,f587,f751,f1184])). 4.53/1.09 thf(f1182,plain,( 4.53/1.09 (sK26 = $true) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_17 | spl15_47)), 4.53/1.09 inference(subsumption_resolution,[],[f998,f800])). 4.53/1.09 thf(f998,plain,( 4.53/1.09 ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK26 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f996])). 4.53/1.09 thf(f1178,plain,( 4.53/1.09 ~spl15_34 | ~spl15_36), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1177])). 4.53/1.09 thf(f1177,plain,( 4.53/1.09 $false | (~spl15_34 | ~spl15_36)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1176])). 4.53/1.09 thf(f1176,plain,( 4.53/1.09 ($false = $true) | (~spl15_34 | ~spl15_36)), 4.53/1.09 inference(forward_demodulation,[],[f702,f711])). 4.53/1.09 thf(f702,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_34), 4.53/1.09 inference(avatar_component_clause,[],[f700])). 4.53/1.09 thf(f700,plain,( 4.53/1.09 spl15_34 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_34])])). 4.53/1.09 thf(f1175,plain,( 4.53/1.09 spl15_14 | ~spl15_36 | ~spl15_42 | ~spl15_53), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1174])). 4.53/1.09 thf(f1174,plain,( 4.53/1.09 $false | (spl15_14 | ~spl15_36 | ~spl15_42 | ~spl15_53)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1173])). 4.53/1.09 thf(f1173,plain,( 4.53/1.09 ($false = $true) | (spl15_14 | ~spl15_36 | ~spl15_42 | ~spl15_53)), 4.53/1.09 inference(forward_demodulation,[],[f1172,f932])). 4.53/1.09 thf(f1172,plain,( 4.53/1.09 (sK20 = $true) | (spl15_14 | ~spl15_36 | ~spl15_42)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1171])). 4.53/1.09 thf(f1171,plain,( 4.53/1.09 (sK20 = $true) | ($false = $true) | (spl15_14 | ~spl15_36 | ~spl15_42)), 4.53/1.09 inference(forward_demodulation,[],[f1170,f711])). 4.53/1.09 thf(f1170,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK20 = $true) | (spl15_14 | ~spl15_42)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1169])). 4.53/1.09 thf(f1169,plain,( 4.53/1.09 ($false = $true) | (sK20 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_14 | ~spl15_42)), 4.53/1.09 inference(forward_demodulation,[],[f758,f753])). 4.53/1.09 thf(f758,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK20 = $true) | spl15_14), 4.53/1.09 inference(binary_proxy_clausification,[],[f757])). 4.53/1.09 thf(f1164,plain,( 4.53/1.09 spl15_29 | spl15_48 | spl15_57 | ~spl15_62), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1163])). 4.53/1.09 thf(f1163,plain,( 4.53/1.09 $false | (spl15_29 | spl15_48 | spl15_57 | ~spl15_62)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1162])). 4.53/1.09 thf(f1162,plain,( 4.53/1.09 ($false = $true) | (spl15_29 | spl15_48 | spl15_57 | ~spl15_62)), 4.53/1.09 inference(forward_demodulation,[],[f1161,f1046])). 4.53/1.09 thf(f1161,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_29 | spl15_48 | spl15_57)), 4.53/1.09 inference(subsumption_resolution,[],[f1160,f1013])). 4.53/1.09 thf(f1013,plain,( 4.53/1.09 (sK27 != $false) | spl15_57), 4.53/1.09 inference(avatar_component_clause,[],[f1012])). 4.53/1.09 thf(f1160,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK27 = $false) | (spl15_29 | spl15_48)), 4.53/1.09 inference(subsumption_resolution,[],[f1007,f679])). 4.53/1.09 thf(f679,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $true) | spl15_29), 4.53/1.09 inference(avatar_component_clause,[],[f678])). 4.53/1.09 thf(f678,plain,( 4.53/1.09 spl15_29 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_29])])). 4.53/1.09 thf(f1007,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK27 = $false) | spl15_48), 4.53/1.09 inference(binary_proxy_clausification,[],[f1003])). 4.53/1.09 thf(f1145,plain,( 4.53/1.09 spl15_68 | spl15_31 | spl15_13 | spl15_38), 4.53/1.09 inference(avatar_split_clause,[],[f992,f733,f567,f687,f1142])). 4.53/1.09 thf(f992,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (sK25 = $false) | (spl15_13 | spl15_38)), 4.53/1.09 inference(subsumption_resolution,[],[f991,f734])). 4.53/1.09 thf(f991,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (sK25 = $false) | spl15_13), 4.53/1.09 inference(binary_proxy_clausification,[],[f986])). 4.53/1.09 thf(f1140,plain,( 4.53/1.09 spl15_67 | spl15_58 | ~spl15_43 | spl15_54), 4.53/1.09 inference(avatar_split_clause,[],[f1135,f935,f781,f1016,f1137])). 4.53/1.09 thf(f1135,plain,( 4.53/1.09 (sK30 = $false) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_43 | spl15_54)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1134])). 4.53/1.09 thf(f1134,plain,( 4.53/1.09 ($false = $true) | (sK30 = $false) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_43 | spl15_54)), 4.53/1.09 inference(forward_demodulation,[],[f1101,f783])). 4.53/1.09 thf(f1101,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK30 = $false) | spl15_54), 4.53/1.09 inference(binary_proxy_clausification,[],[f1097])). 4.53/1.09 thf(f1123,plain,( 4.53/1.09 spl15_30 | spl15_15 | ~spl15_43 | ~spl15_46), 4.53/1.09 inference(avatar_split_clause,[],[f1122,f794,f781,f577,f682])). 4.53/1.09 thf(f682,plain,( 4.53/1.09 spl15_30 <=> ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_30])])). 4.53/1.09 thf(f1122,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_15 | ~spl15_43 | ~spl15_46)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1121])). 4.53/1.09 thf(f1121,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (spl15_15 | ~spl15_43 | ~spl15_46)), 4.53/1.09 inference(forward_demodulation,[],[f1120,f796])). 4.53/1.09 thf(f1120,plain,( 4.53/1.09 (sK21 = $false) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_15 | ~spl15_43)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1119])). 4.53/1.09 thf(f1119,plain,( 4.53/1.09 ($false = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK21 = $false) | (spl15_15 | ~spl15_43)), 4.53/1.09 inference(forward_demodulation,[],[f778,f783])). 4.53/1.09 thf(f1113,plain,( 4.53/1.09 ~spl15_60 | ~spl15_65), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1112])). 4.53/1.09 thf(f1112,plain,( 4.53/1.09 $false | (~spl15_60 | ~spl15_65)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1111])). 4.53/1.09 thf(f1111,plain,( 4.53/1.09 ($false = $true) | (~spl15_60 | ~spl15_65)), 4.53/1.09 inference(backward_demodulation,[],[f1029,f1092])). 4.53/1.09 thf(f1029,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_60), 4.53/1.09 inference(avatar_component_clause,[],[f1027])). 4.53/1.09 thf(f1110,plain,( 4.53/1.09 spl15_65 | ~spl15_43 | spl15_47 | spl15_54 | ~spl15_62), 4.53/1.09 inference(avatar_split_clause,[],[f1109,f1044,f935,f799,f781,f1090])). 4.53/1.09 thf(f1109,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (~spl15_43 | spl15_47 | spl15_54 | ~spl15_62)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1108])). 4.53/1.09 thf(f1108,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ($false = $true) | (~spl15_43 | spl15_47 | spl15_54 | ~spl15_62)), 4.53/1.09 inference(forward_demodulation,[],[f1107,f1106])). 4.53/1.09 thf(f1106,plain,( 4.53/1.09 (sK30 = $false) | (~spl15_43 | spl15_54 | ~spl15_62)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1105])). 4.53/1.09 thf(f1105,plain,( 4.53/1.09 ($false = $true) | (sK30 = $false) | (~spl15_43 | spl15_54 | ~spl15_62)), 4.53/1.09 inference(forward_demodulation,[],[f1104,f783])). 4.53/1.09 thf(f1104,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK30 = $false) | (spl15_54 | ~spl15_62)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1103])). 4.53/1.09 thf(f1103,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (sK30 = $false) | (spl15_54 | ~spl15_62)), 4.53/1.09 inference(forward_demodulation,[],[f1101,f1046])). 4.53/1.09 thf(f1107,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK30 = $true) | (spl15_47 | spl15_54)), 4.53/1.09 inference(subsumption_resolution,[],[f1100,f800])). 4.53/1.09 thf(f1093,plain,( 4.53/1.09 spl15_63 | spl15_65 | spl15_37 | spl15_49), 4.53/1.09 inference(avatar_split_clause,[],[f1061,f844,f713,f1090,f1051])). 4.53/1.09 thf(f1061,plain,( 4.53/1.09 (sK28 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (spl15_37 | spl15_49)), 4.53/1.09 inference(subsumption_resolution,[],[f1035,f714])). 4.53/1.09 thf(f714,plain,( 4.53/1.09 ($false != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_37), 4.53/1.09 inference(avatar_component_clause,[],[f713])). 4.53/1.09 thf(f1088,plain,( 4.53/1.09 ~spl15_58 | ~spl15_62), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1087])). 4.53/1.09 thf(f1087,plain,( 4.53/1.09 $false | (~spl15_58 | ~spl15_62)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1086])). 4.53/1.09 thf(f1086,plain,( 4.53/1.09 ($false = $true) | (~spl15_58 | ~spl15_62)), 4.53/1.09 inference(backward_demodulation,[],[f1018,f1046])). 4.53/1.09 thf(f1018,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_58), 4.53/1.09 inference(avatar_component_clause,[],[f1016])). 4.53/1.09 thf(f1081,plain,( 4.53/1.09 spl15_62 | spl15_64 | spl15_38 | spl15_51), 4.53/1.09 inference(avatar_split_clause,[],[f1076,f915,f733,f1078,f1044])). 4.53/1.09 thf(f1076,plain,( 4.53/1.09 ($false = sK29) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_38 | spl15_51)), 4.53/1.09 inference(subsumption_resolution,[],[f1075,f734])). 4.53/1.09 thf(f1075,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK29) | spl15_51), 4.53/1.09 inference(binary_proxy_clausification,[],[f1070])). 4.53/1.09 thf(f1068,plain,( 4.53/1.09 ~spl15_57 | ~spl15_59), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1067])). 4.53/1.09 thf(f1067,plain,( 4.53/1.09 $false | (~spl15_57 | ~spl15_59)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1066])). 4.53/1.09 thf(f1066,plain,( 4.53/1.09 ($false = $true) | (~spl15_57 | ~spl15_59)), 4.53/1.09 inference(forward_demodulation,[],[f1025,f1014])). 4.53/1.09 thf(f1025,plain,( 4.53/1.09 (sK27 = $true) | ~spl15_59), 4.53/1.09 inference(avatar_component_clause,[],[f1023])). 4.53/1.09 thf(f1023,plain,( 4.53/1.09 spl15_59 <=> (sK27 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_59])])). 4.53/1.09 thf(f1060,plain,( 4.53/1.09 ~spl15_61 | ~spl15_63), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1059])). 4.53/1.09 thf(f1059,plain,( 4.53/1.09 $false | (~spl15_61 | ~spl15_63)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1058])). 4.53/1.09 thf(f1058,plain,( 4.53/1.09 ($false = $true) | (~spl15_61 | ~spl15_63)), 4.53/1.09 inference(forward_demodulation,[],[f1053,f1042])). 4.53/1.09 thf(f1057,plain,( 4.53/1.09 ~spl15_33 | ~spl15_37), 4.53/1.09 inference(avatar_contradiction_clause,[],[f1056])). 4.53/1.09 thf(f1056,plain,( 4.53/1.09 $false | (~spl15_33 | ~spl15_37)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1055])). 4.53/1.09 thf(f1055,plain,( 4.53/1.09 ($false = $true) | (~spl15_33 | ~spl15_37)), 4.53/1.09 inference(backward_demodulation,[],[f698,f715])). 4.53/1.09 thf(f698,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_33), 4.53/1.09 inference(avatar_component_clause,[],[f696])). 4.53/1.09 thf(f1054,plain,( 4.53/1.09 spl15_63 | spl15_37 | spl15_49 | ~spl15_60), 4.53/1.09 inference(avatar_split_clause,[],[f1049,f1027,f844,f713,f1051])). 4.53/1.09 thf(f1049,plain,( 4.53/1.09 (sK28 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_49 | ~spl15_60)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1048])). 4.53/1.09 thf(f1048,plain,( 4.53/1.09 (sK28 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (spl15_49 | ~spl15_60)), 4.53/1.09 inference(forward_demodulation,[],[f1035,f1029])). 4.53/1.09 thf(f1047,plain,( 4.53/1.09 spl15_61 | spl15_62 | spl15_31 | spl15_49), 4.53/1.09 inference(avatar_split_clause,[],[f1038,f844,f687,f1044,f1040])). 4.53/1.09 thf(f1038,plain,( 4.53/1.09 (sK28 = $false) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_31 | spl15_49)), 4.53/1.09 inference(subsumption_resolution,[],[f1037,f688])). 4.53/1.09 thf(f688,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $false) | spl15_31), 4.53/1.09 inference(avatar_component_clause,[],[f687])). 4.53/1.09 thf(f1037,plain,( 4.53/1.09 (sK28 = $false) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_49), 4.53/1.09 inference(binary_proxy_clausification,[],[f1032])). 4.53/1.09 thf(f1030,plain,( 4.53/1.09 spl15_59 | spl15_60 | ~spl15_36 | spl15_48), 4.53/1.09 inference(avatar_split_clause,[],[f1021,f839,f709,f1027,f1023])). 4.53/1.09 thf(f1021,plain,( 4.53/1.09 (sK27 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_36 | spl15_48)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1020])). 4.53/1.09 thf(f1020,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK27 = $true) | ($false = $true) | (~spl15_36 | spl15_48)), 4.53/1.09 inference(forward_demodulation,[],[f1005,f711])). 4.53/1.09 thf(f1005,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK27 = $true) | spl15_48), 4.53/1.09 inference(binary_proxy_clausification,[],[f1004])). 4.53/1.09 thf(f1019,plain,( 4.53/1.09 spl15_57 | spl15_58 | ~spl15_32 | spl15_48), 4.53/1.09 inference(avatar_split_clause,[],[f1010,f839,f691,f1016,f1012])). 4.53/1.09 thf(f1010,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK27 = $false) | (~spl15_32 | spl15_48)), 4.53/1.09 inference(trivial_inequality_removal,[],[f1009])). 4.53/1.09 thf(f1009,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK27 = $false) | ($false = $true) | (~spl15_32 | spl15_48)), 4.53/1.09 inference(forward_demodulation,[],[f1007,f693])). 4.53/1.09 thf(f962,plain,( 4.53/1.09 ~spl15_52 | ~spl15_55), 4.53/1.09 inference(avatar_contradiction_clause,[],[f961])). 4.53/1.09 thf(f961,plain,( 4.53/1.09 $false | (~spl15_52 | ~spl15_55)), 4.53/1.09 inference(trivial_inequality_removal,[],[f960])). 4.53/1.09 thf(f960,plain,( 4.53/1.09 ($false = $true) | (~spl15_52 | ~spl15_55)), 4.53/1.09 inference(backward_demodulation,[],[f943,f924])). 4.53/1.09 thf(f943,plain,( 4.53/1.09 (sK24 = $true) | ~spl15_55), 4.53/1.09 inference(avatar_component_clause,[],[f941])). 4.53/1.09 thf(f952,plain,( 4.53/1.09 ~spl15_40 | ~spl15_42), 4.53/1.09 inference(avatar_contradiction_clause,[],[f951])). 4.53/1.09 thf(f951,plain,( 4.53/1.09 $false | (~spl15_40 | ~spl15_42)), 4.53/1.09 inference(trivial_inequality_removal,[],[f950])). 4.53/1.09 thf(f950,plain,( 4.53/1.09 ($false = $true) | (~spl15_40 | ~spl15_42)), 4.53/1.09 inference(forward_demodulation,[],[f744,f753])). 4.53/1.09 thf(f744,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_40), 4.53/1.09 inference(avatar_component_clause,[],[f742])). 4.53/1.09 thf(f947,plain,( 4.53/1.09 spl15_16 | spl15_4 | ~spl15_6), 4.53/1.09 inference(avatar_split_clause,[],[f498,f343,f93,f582])). 4.53/1.09 thf(f582,plain,( 4.53/1.09 spl15_16 <=> ((sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_16])])). 4.53/1.09 thf(f93,plain,( 4.53/1.09 spl15_4 <=> ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_4])])). 4.53/1.09 thf(f343,plain,( 4.53/1.09 spl15_6 <=> ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_6])])). 4.53/1.09 thf(f498,plain,( 4.53/1.09 ((sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f497])). 4.53/1.09 thf(f497,plain,( 4.53/1.09 (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f496])). 4.53/1.09 thf(f496,plain,( 4.53/1.09 (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f433])). 4.53/1.09 thf(f433,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f53])). 4.53/1.09 thf(f53,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK13 @ X0) @ (sK14 @ X0)) != $true) | ((sP0 @ X0) = $true) | ((X0 @ (sK11 @ X0) @ (sK12 @ X0)) = $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f18,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (((sP0 @ X0) = $true) | (((X0 @ (sK11 @ X0) @ (sK12 @ X0)) = $true) & ((sK10 @ X0 @ (sK12 @ X0)) = $true) & ((sK10 @ X0 @ (sK11 @ X0)) != $true)) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0)) = $true) & ((X0 @ (sK13 @ X0) @ (sK14 @ X0)) != $true)))), 4.53/1.09 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f15,f17,f16])). 4.53/1.09 thf(f16,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : ($o > $o) > $o,X2 : $o > $o,X3 : $o > $o] : (((X0 @ X2 @ X3) = $true) & ((X1 @ X3) = $true) & ((X1 @ X2) != $true)) => (((X0 @ (sK11 @ X0) @ (sK12 @ X0)) = $true) & ((sK10 @ X0 @ (sK12 @ X0)) = $true) & ((sK10 @ X0 @ (sK11 @ X0)) != $true)))), 4.53/1.09 introduced(choice_axiom,[])). 4.53/1.09 thf(f17,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X4 : $o > $o,X5 : $o > $o] : (((X0 @ X5 @ X4) = $true) & ((X0 @ X4 @ X5) != $true)) => (((X0 @ (sK14 @ X0) @ (sK13 @ X0)) = $true) & ((X0 @ (sK13 @ X0) @ (sK14 @ X0)) != $true)))), 4.53/1.09 introduced(choice_axiom,[])). 4.53/1.09 thf(f15,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (((sP0 @ X0) = $true) | ? [X1 : ($o > $o) > $o,X2 : $o > $o,X3 : $o > $o] : (((X0 @ X2 @ X3) = $true) & ((X1 @ X3) = $true) & ((X1 @ X2) != $true)) | ? [X4 : $o > $o,X5 : $o > $o] : (((X0 @ X5 @ X4) = $true) & ((X0 @ X4 @ X5) != $true)))), 4.53/1.09 inference(rectify,[],[f10])). 4.53/1.09 thf(f10,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (((sP0 @ X0) = $true) | ? [X14 : ($o > $o) > $o,X12 : $o > $o,X13 : $o > $o] : (((X0 @ X12 @ X13) = $true) & ((X14 @ X13) = $true) & ((X14 @ X12) != $true)) | ? [X11 : $o > $o,X10 : $o > $o] : (((X0 @ X10 @ X11) = $true) & ((X0 @ X11 @ X10) != $true)))), 4.53/1.09 inference(definition_folding,[],[f8,f9])). 4.53/1.09 thf(f9,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X4 : $o > $o,X8 : $o > $o,X3 : ($o > $o) > $o,X5 : $o > $o,X7 : ($o > $o) > $o,X9 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o,X6 : ($o > $o) > $o] : (((X0 @ X9 @ X5) != $true) & ((X2 @ X4) != $true) & ($true != (X6 @ X8)) & ((X0 @ X4 @ X5) != $true) & ((X3 @ X9) != $true) & ((X3 @ X8) = $true) & ((X0 @ X4 @ X8) != $true) & ((X0 @ X8 @ X5) != $true) & ((X0 @ X8 @ X1) != $true) & ((X6 @ X9) = $true) & ((X3 @ X4) != $true) & ((X7 @ X9) != $true) & ((X2 @ X1) != $true) & ((X0 @ X9 @ X1) != $true) & ((X6 @ X1) != $true) & ((X7 @ X1) = $true) & ((X2 @ X8) != $true) & ((X0 @ X5 @ X1) != $true) & ((X2 @ X9) != $true) & ($true != (X3 @ X1)) & ((X7 @ X5) != $true) & ((X2 @ X5) = $true) & ((X3 @ X5) != $true) & ((X7 @ X8) != $true) & ((X0 @ X9 @ X8) != $true) & ((X6 @ X5) != $true) & ((X7 @ X4) != $true) & ((X0 @ X4 @ X9) != $true) & ((X6 @ X4) != $true) & ((X0 @ X4 @ X1) != $true)) | ~((sP0 @ X0) = $true))), 4.53/1.09 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 4.53/1.09 thf(f8,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X4 : $o > $o,X8 : $o > $o,X3 : ($o > $o) > $o,X5 : $o > $o,X7 : ($o > $o) > $o,X9 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o,X6 : ($o > $o) > $o] : (((X0 @ X9 @ X5) != $true) & ((X2 @ X4) != $true) & ($true != (X6 @ X8)) & ((X0 @ X4 @ X5) != $true) & ((X3 @ X9) != $true) & ((X3 @ X8) = $true) & ((X0 @ X4 @ X8) != $true) & ((X0 @ X8 @ X5) != $true) & ((X0 @ X8 @ X1) != $true) & ((X6 @ X9) = $true) & ((X3 @ X4) != $true) & ((X7 @ X9) != $true) & ((X2 @ X1) != $true) & ((X0 @ X9 @ X1) != $true) & ((X6 @ X1) != $true) & ((X7 @ X1) = $true) & ((X2 @ X8) != $true) & ((X0 @ X5 @ X1) != $true) & ((X2 @ X9) != $true) & ($true != (X3 @ X1)) & ((X7 @ X5) != $true) & ((X2 @ X5) = $true) & ((X3 @ X5) != $true) & ((X7 @ X8) != $true) & ((X0 @ X9 @ X8) != $true) & ((X6 @ X5) != $true) & ((X7 @ X4) != $true) & ((X0 @ X4 @ X9) != $true) & ((X6 @ X4) != $true) & ((X0 @ X4 @ X1) != $true)) | ? [X14 : ($o > $o) > $o,X12 : $o > $o,X13 : $o > $o] : (((X0 @ X12 @ X13) = $true) & ((X14 @ X13) = $true) & ((X14 @ X12) != $true)) | ? [X11 : $o > $o,X10 : $o > $o] : (((X0 @ X10 @ X11) = $true) & ((X0 @ X11 @ X10) != $true)))), 4.53/1.09 inference(flattening,[],[f7])). 4.53/1.09 thf(f7,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X11 : $o > $o,X10 : $o > $o] : (((X0 @ X10 @ X11) = $true) & ((X0 @ X11 @ X10) != $true)) | ? [X2 : ($o > $o) > $o,X4 : $o > $o,X3 : ($o > $o) > $o,X9 : $o > $o,X5 : $o > $o,X6 : ($o > $o) > $o,X8 : $o > $o,X7 : ($o > $o) > $o,X1 : $o > $o] : ((((X0 @ X8 @ X5) != $true) & ((X0 @ X4 @ X5) != $true) & ((X0 @ X8 @ X1) != $true) & ((X0 @ X9 @ X1) != $true) & ((X0 @ X4 @ X8) != $true) & ((X0 @ X9 @ X8) != $true) & ((X0 @ X4 @ X9) != $true) & ((X0 @ X4 @ X1) != $true) & ((X0 @ X5 @ X1) != $true) & ((X0 @ X9 @ X5) != $true)) & (((X2 @ X1) != $true) & ($true != (X3 @ X1)) & ((X7 @ X1) = $true) & ((X3 @ X8) = $true) & ((X6 @ X5) != $true) & ((X2 @ X4) != $true) & ((X2 @ X5) = $true) & ((X6 @ X1) != $true) & ((X2 @ X8) != $true) & ((X7 @ X9) != $true) & ((X7 @ X4) != $true) & ((X7 @ X5) != $true) & ((X6 @ X9) = $true) & ((X6 @ X4) != $true) & ($true != (X6 @ X8)) & ((X3 @ X5) != $true) & ((X3 @ X4) != $true) & ((X7 @ X8) != $true) & ((X3 @ X9) != $true) & ((X2 @ X9) != $true))) | ? [X12 : $o > $o,X14 : ($o > $o) > $o,X13 : $o > $o] : (((X0 @ X12 @ X13) = $true) & (((X14 @ X12) != $true) & ((X14 @ X13) = $true))))), 4.53/1.09 inference(ennf_transformation,[],[f6])). 4.53/1.09 thf(f6,plain,( 4.53/1.09 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X10 : $o > $o,X11 : $o > $o] : (((X0 @ X10 @ X11) = $true) => ((X0 @ X11 @ X10) = $true)) & ! [X2 : ($o > $o) > $o,X4 : $o > $o,X3 : ($o > $o) > $o,X9 : $o > $o,X5 : $o > $o,X6 : ($o > $o) > $o,X8 : $o > $o,X7 : ($o > $o) > $o,X1 : $o > $o] : ((((X2 @ X1) != $true) & ($true != (X3 @ X1)) & ((X7 @ X1) = $true) & ((X3 @ X8) = $true) & ((X6 @ X5) != $true) & ((X2 @ X4) != $true) & ((X2 @ X5) = $true) & ((X6 @ X1) != $true) & ((X2 @ X8) != $true) & ((X7 @ X9) != $true) & ((X7 @ X4) != $true) & ((X7 @ X5) != $true) & ((X6 @ X9) = $true) & ((X6 @ X4) != $true) & ($true != (X6 @ X8)) & ((X3 @ X5) != $true) & ((X3 @ X4) != $true) & ((X7 @ X8) != $true) & ((X3 @ X9) != $true) & ((X2 @ X9) != $true)) => (((X0 @ X8 @ X5) = $true) | ((X0 @ X4 @ X5) = $true) | ((X0 @ X8 @ X1) = $true) | ((X0 @ X9 @ X1) = $true) | ((X0 @ X4 @ X8) = $true) | ((X0 @ X9 @ X8) = $true) | ((X0 @ X4 @ X9) = $true) | ((X0 @ X4 @ X1) = $true) | ((X0 @ X5 @ X1) = $true) | ((X0 @ X9 @ X5) = $true))) & ! [X12 : $o > $o,X14 : ($o > $o) > $o,X13 : $o > $o] : ((((X14 @ X12) != $true) & ((X14 @ X13) = $true)) => ((X0 @ X12 @ X13) != $true)))), 4.53/1.09 inference(flattening,[],[f5])). 4.53/1.09 thf(f5,plain,( 4.53/1.09 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X1 : $o > $o,X2 : ($o > $o) > $o,X3 : ($o > $o) > $o,X4 : $o > $o,X5 : $o > $o,X6 : ($o > $o) > $o,X7 : ($o > $o) > $o,X8 : $o > $o,X9 : $o > $o] : ((~((X6 @ X1) = $true) & ~((X7 @ X8) = $true) & ~((X2 @ X4) = $true) & ~((X7 @ X9) = $true) & ~((X2 @ X1) = $true) & ~((X3 @ X4) = $true) & ((X3 @ X8) = $true) & ~($true = (X3 @ X1)) & ~((X6 @ X5) = $true) & ~((X3 @ X5) = $true) & ~($true = (X6 @ X8)) & ~((X7 @ X5) = $true) & ~((X6 @ X4) = $true) & ~((X7 @ X4) = $true) & ((X6 @ X9) = $true) & ((X2 @ X5) = $true) & ((X7 @ X1) = $true) & ~((X2 @ X9) = $true) & ~((X3 @ X9) = $true) & ~((X2 @ X8) = $true)) => (((X0 @ X8 @ X5) = $true) | ((X0 @ X4 @ X5) = $true) | ((X0 @ X8 @ X1) = $true) | ((X0 @ X9 @ X1) = $true) | ((X0 @ X4 @ X8) = $true) | ((X0 @ X9 @ X8) = $true) | ((X0 @ X4 @ X9) = $true) | ((X0 @ X4 @ X1) = $true) | ((X0 @ X5 @ X1) = $true) | ((X0 @ X9 @ X5) = $true))) & ! [X10 : $o > $o,X11 : $o > $o] : (((X0 @ X10 @ X11) = $true) => ((X0 @ X11 @ X10) = $true)) & ! [X12 : $o > $o,X13 : $o > $o,X14 : ($o > $o) > $o] : ((((X14 @ X13) = $true) & ~((X14 @ X12) = $true)) => ~((X0 @ X12 @ X13) = $true)))), 4.53/1.09 inference(fool_elimination,[],[f4])). 4.53/1.09 thf(f4,plain,( 4.53/1.09 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X1 : $o > $o,X2 : ($o > $o) > $o,X3 : ($o > $o) > $o,X4 : $o > $o,X5 : $o > $o,X6 : ($o > $o) > $o,X7 : ($o > $o) > $o,X8 : $o > $o,X9 : $o > $o] : ((~(X6 @ X1) & ~(X7 @ X8) & ~(X2 @ X4) & ~(X7 @ X9) & ~(X2 @ X1) & ~(X3 @ X4) & (X3 @ X8) & ~(X3 @ X1) & ~(X6 @ X5) & ~(X3 @ X5) & ~(X6 @ X8) & ~(X7 @ X5) & ~(X6 @ X4) & ~(X7 @ X4) & (X6 @ X9) & (X2 @ X5) & (X7 @ X1) & ~(X2 @ X9) & ~(X3 @ X9) & ~(X2 @ X8)) => ((X0 @ X4 @ X8) | (X0 @ X4 @ X9) | (X0 @ X5 @ X1) | (X0 @ X9 @ X1) | (X0 @ X8 @ X1) | (X0 @ X9 @ X8) | (X0 @ X9 @ X5) | (X0 @ X4 @ X1) | (X0 @ X4 @ X5) | (X0 @ X8 @ X5))) & ! [X10 : $o > $o,X11 : $o > $o] : ((X0 @ X10 @ X11) => (X0 @ X11 @ X10)) & ! [X12 : $o > $o,X13 : $o > $o,X14 : ($o > $o) > $o] : (((X14 @ X13) & ~(X14 @ X12)) => ~(X0 @ X12 @ X13)))), 4.53/1.09 inference(rectify,[],[f2])). 4.53/1.09 thf(f2,negated_conjecture,( 4.53/1.09 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X3 : $o > $o,X9 : ($o > $o) > $o,X10 : ($o > $o) > $o,X7 : $o > $o,X4 : $o > $o,X11 : ($o > $o) > $o,X8 : ($o > $o) > $o,X5 : $o > $o,X6 : $o > $o] : ((~(X11 @ X3) & ~(X8 @ X5) & ~(X9 @ X7) & ~(X8 @ X6) & ~(X9 @ X3) & ~(X10 @ X7) & (X10 @ X5) & ~(X10 @ X3) & ~(X11 @ X4) & ~(X10 @ X4) & ~(X11 @ X5) & ~(X8 @ X4) & ~(X11 @ X7) & ~(X8 @ X7) & (X11 @ X6) & (X9 @ X4) & (X8 @ X3) & ~(X9 @ X6) & ~(X10 @ X6) & ~(X9 @ X5)) => ((X0 @ X7 @ X5) | (X0 @ X7 @ X6) | (X0 @ X4 @ X3) | (X0 @ X6 @ X3) | (X0 @ X5 @ X3) | (X0 @ X6 @ X5) | (X0 @ X6 @ X4) | (X0 @ X7 @ X3) | (X0 @ X7 @ X4) | (X0 @ X5 @ X4))) & ! [X1 : $o > $o,X2 : $o > $o] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X4 : $o > $o,X3 : $o > $o,X8 : ($o > $o) > $o] : (((X8 @ X3) & ~(X8 @ X4)) => ~(X0 @ X4 @ X3)))), 4.53/1.09 inference(negated_conjecture,[],[f1])). 4.53/1.09 thf(f1,conjecture,( 4.53/1.09 ? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X3 : $o > $o,X9 : ($o > $o) > $o,X10 : ($o > $o) > $o,X7 : $o > $o,X4 : $o > $o,X11 : ($o > $o) > $o,X8 : ($o > $o) > $o,X5 : $o > $o,X6 : $o > $o] : ((~(X11 @ X3) & ~(X8 @ X5) & ~(X9 @ X7) & ~(X8 @ X6) & ~(X9 @ X3) & ~(X10 @ X7) & (X10 @ X5) & ~(X10 @ X3) & ~(X11 @ X4) & ~(X10 @ X4) & ~(X11 @ X5) & ~(X8 @ X4) & ~(X11 @ X7) & ~(X8 @ X7) & (X11 @ X6) & (X9 @ X4) & (X8 @ X3) & ~(X9 @ X6) & ~(X10 @ X6) & ~(X9 @ X5)) => ((X0 @ X7 @ X5) | (X0 @ X7 @ X6) | (X0 @ X4 @ X3) | (X0 @ X6 @ X3) | (X0 @ X5 @ X3) | (X0 @ X6 @ X5) | (X0 @ X6 @ X4) | (X0 @ X7 @ X3) | (X0 @ X7 @ X4) | (X0 @ X5 @ X4))) & ! [X1 : $o > $o,X2 : $o > $o] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X4 : $o > $o,X3 : $o > $o,X8 : ($o > $o) > $o] : (((X8 @ X3) & ~(X8 @ X4)) => ~(X0 @ X4 @ X3)))), 4.53/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ramsey_l_2_5_4)). 4.53/1.09 thf(f938,plain,( 4.53/1.09 ~spl15_4 | ~spl15_54), 4.53/1.09 inference(avatar_split_clause,[],[f233,f935,f93])). 4.53/1.09 thf(f233,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f232])). 4.53/1.09 thf(f232,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f217])). 4.53/1.09 thf(f217,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f41])). 4.53/1.09 thf(f41,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK2 @ X0) @ (sK4 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f14,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : ((((X0 @ (sK6 @ X0) @ (sK4 @ X0)) != $true) & ((sK8 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK4 @ X0)) != $true) & ((sK3 @ X0 @ (sK6 @ X0)) != $true) & ((sK3 @ X0 @ (sK2 @ X0)) = $true) & ((X0 @ (sK1 @ X0) @ (sK2 @ X0)) != $true) & ((X0 @ (sK2 @ X0) @ (sK4 @ X0)) != $true) & ((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK6 @ X0)) = $true) & ((sK3 @ X0 @ (sK1 @ X0)) != $true) & ((sK5 @ X0 @ (sK6 @ X0)) != $true) & ((sK8 @ X0 @ (sK7 @ X0)) != $true) & ((X0 @ (sK6 @ X0) @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK7 @ X0)) = $true) & ((sK8 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK4 @ X0) @ (sK7 @ X0)) != $true) & ((sK8 @ X0 @ (sK6 @ X0)) != $true) & ((sK3 @ X0 @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK4 @ X0)) != $true) & ((sK8 @ X0 @ (sK4 @ X0)) = $true) & ((sK3 @ X0 @ (sK4 @ X0)) != $true) & ((sK5 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK6 @ X0) @ (sK2 @ X0)) != $true) & ((sK9 @ X0 @ (sK4 @ X0)) != $true) & ((sK5 @ X0 @ (sK1 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK6 @ X0)) != $true) & ((sK9 @ X0 @ (sK1 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true)) | ((sP0 @ X0) != $true))), 4.53/1.09 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f12,f13])). 4.53/1.09 thf(f13,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : ($o > $o) > $o,X4 : $o > $o,X5 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : ($o > $o) > $o,X9 : ($o > $o) > $o] : (((X0 @ X6 @ X4) != $true) & ($true != (X8 @ X1)) & ((X9 @ X2) != $true) & ($true != (X0 @ X1 @ X4)) & ((X3 @ X6) != $true) & ((X3 @ X2) = $true) & ((X0 @ X1 @ X2) != $true) & ((X0 @ X2 @ X4) != $true) & ((X0 @ X2 @ X7) != $true) & ((X9 @ X6) = $true) & ($true != (X3 @ X1)) & ((X5 @ X6) != $true) & ((X8 @ X7) != $true) & ((X0 @ X6 @ X7) != $true) & ((X9 @ X7) != $true) & ((X5 @ X7) = $true) & ((X8 @ X2) != $true) & ((X0 @ X4 @ X7) != $true) & ((X8 @ X6) != $true) & ((X3 @ X7) != $true) & ((X5 @ X4) != $true) & ((X8 @ X4) = $true) & ((X3 @ X4) != $true) & ((X5 @ X2) != $true) & ((X0 @ X6 @ X2) != $true) & ((X9 @ X4) != $true) & ((X5 @ X1) != $true) & ($true != (X0 @ X1 @ X6)) & ((X9 @ X1) != $true) & ((X0 @ X1 @ X7) != $true)) => (((X0 @ (sK6 @ X0) @ (sK4 @ X0)) != $true) & ((sK8 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK4 @ X0)) != $true) & ((sK3 @ X0 @ (sK6 @ X0)) != $true) & ((sK3 @ X0 @ (sK2 @ X0)) = $true) & ((X0 @ (sK1 @ X0) @ (sK2 @ X0)) != $true) & ((X0 @ (sK2 @ X0) @ (sK4 @ X0)) != $true) & ((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK6 @ X0)) = $true) & ((sK3 @ X0 @ (sK1 @ X0)) != $true) & ((sK5 @ X0 @ (sK6 @ X0)) != $true) & ((sK8 @ X0 @ (sK7 @ X0)) != $true) & ((X0 @ (sK6 @ X0) @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK7 @ X0)) = $true) & ((sK8 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK4 @ X0) @ (sK7 @ X0)) != $true) & ((sK8 @ X0 @ (sK6 @ X0)) != $true) & ((sK3 @ X0 @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK4 @ X0)) != $true) & ((sK8 @ X0 @ (sK4 @ X0)) = $true) & ((sK3 @ X0 @ (sK4 @ X0)) != $true) & ((sK5 @ X0 @ (sK2 @ X0)) != $true) & ((X0 @ (sK6 @ X0) @ (sK2 @ X0)) != $true) & ((sK9 @ X0 @ (sK4 @ X0)) != $true) & ((sK5 @ X0 @ (sK1 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK6 @ X0)) != $true) & ((sK9 @ X0 @ (sK1 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true)))), 4.53/1.09 introduced(choice_axiom,[])). 4.53/1.09 thf(f12,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : ($o > $o) > $o,X4 : $o > $o,X5 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : ($o > $o) > $o,X9 : ($o > $o) > $o] : (((X0 @ X6 @ X4) != $true) & ($true != (X8 @ X1)) & ((X9 @ X2) != $true) & ($true != (X0 @ X1 @ X4)) & ((X3 @ X6) != $true) & ((X3 @ X2) = $true) & ((X0 @ X1 @ X2) != $true) & ((X0 @ X2 @ X4) != $true) & ((X0 @ X2 @ X7) != $true) & ((X9 @ X6) = $true) & ($true != (X3 @ X1)) & ((X5 @ X6) != $true) & ((X8 @ X7) != $true) & ((X0 @ X6 @ X7) != $true) & ((X9 @ X7) != $true) & ((X5 @ X7) = $true) & ((X8 @ X2) != $true) & ((X0 @ X4 @ X7) != $true) & ((X8 @ X6) != $true) & ((X3 @ X7) != $true) & ((X5 @ X4) != $true) & ((X8 @ X4) = $true) & ((X3 @ X4) != $true) & ((X5 @ X2) != $true) & ((X0 @ X6 @ X2) != $true) & ((X9 @ X4) != $true) & ((X5 @ X1) != $true) & ($true != (X0 @ X1 @ X6)) & ((X9 @ X1) != $true) & ((X0 @ X1 @ X7) != $true)) | ((sP0 @ X0) != $true))), 4.53/1.09 inference(rectify,[],[f11])). 4.53/1.09 thf(f11,plain,( 4.53/1.09 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X4 : $o > $o,X8 : $o > $o,X3 : ($o > $o) > $o,X5 : $o > $o,X7 : ($o > $o) > $o,X9 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o,X6 : ($o > $o) > $o] : (((X0 @ X9 @ X5) != $true) & ((X2 @ X4) != $true) & ($true != (X6 @ X8)) & ((X0 @ X4 @ X5) != $true) & ((X3 @ X9) != $true) & ((X3 @ X8) = $true) & ((X0 @ X4 @ X8) != $true) & ((X0 @ X8 @ X5) != $true) & ((X0 @ X8 @ X1) != $true) & ((X6 @ X9) = $true) & ((X3 @ X4) != $true) & ((X7 @ X9) != $true) & ((X2 @ X1) != $true) & ((X0 @ X9 @ X1) != $true) & ((X6 @ X1) != $true) & ((X7 @ X1) = $true) & ((X2 @ X8) != $true) & ((X0 @ X5 @ X1) != $true) & ((X2 @ X9) != $true) & ($true != (X3 @ X1)) & ((X7 @ X5) != $true) & ((X2 @ X5) = $true) & ((X3 @ X5) != $true) & ((X7 @ X8) != $true) & ((X0 @ X9 @ X8) != $true) & ((X6 @ X5) != $true) & ((X7 @ X4) != $true) & ((X0 @ X4 @ X9) != $true) & ((X6 @ X4) != $true) & ((X0 @ X4 @ X1) != $true)) | ((sP0 @ X0) != $true))), 4.53/1.09 inference(nnf_transformation,[],[f9])). 4.53/1.09 thf(f926,plain,( 4.53/1.09 spl15_6 | spl15_4 | spl15_16), 4.53/1.09 inference(avatar_split_clause,[],[f554,f582,f93,f343])). 4.53/1.09 thf(f554,plain,( 4.53/1.09 ((sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f553])). 4.53/1.09 thf(f553,plain,( 4.53/1.09 (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f552])). 4.53/1.09 thf(f552,plain,( 4.53/1.09 (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f499])). 4.53/1.09 thf(f499,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(primitive_instantiation,[],[f54])). 4.53/1.09 thf(f54,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK14 @ X0) @ (sK13 @ X0)) = $true) | ((X0 @ (sK11 @ X0) @ (sK12 @ X0)) = $true) | ((sP0 @ X0) = $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f925,plain,( 4.53/1.09 spl15_52 | spl15_29 | ~spl15_43 | spl15_50), 4.53/1.09 inference(avatar_split_clause,[],[f920,f849,f781,f678,f922])). 4.53/1.09 thf(f920,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK24 = $false) | (~spl15_43 | spl15_50)), 4.53/1.09 inference(trivial_inequality_removal,[],[f919])). 4.53/1.09 thf(f919,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (sK24 = $false) | (~spl15_43 | spl15_50)), 4.53/1.09 inference(forward_demodulation,[],[f885,f783])). 4.53/1.09 thf(f885,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK24 = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_50), 4.53/1.09 inference(binary_proxy_clausification,[],[f881])). 4.53/1.09 thf(f918,plain,( 4.53/1.09 ~spl15_4 | ~spl15_51), 4.53/1.09 inference(avatar_split_clause,[],[f135,f915,f93])). 4.53/1.09 thf(f135,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f134])). 4.53/1.09 thf(f134,plain,( 4.53/1.09 (((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f121])). 4.53/1.09 thf(f121,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f24])). 4.53/1.09 thf(f24,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK6 @ X0) @ (sK2 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f913,plain,( 4.53/1.09 ~spl15_30 | ~spl15_31), 4.53/1.09 inference(avatar_contradiction_clause,[],[f912])). 4.53/1.09 thf(f912,plain,( 4.53/1.09 $false | (~spl15_30 | ~spl15_31)), 4.53/1.09 inference(trivial_inequality_removal,[],[f911])). 4.53/1.09 thf(f911,plain,( 4.53/1.09 ($false = $true) | (~spl15_30 | ~spl15_31)), 4.53/1.09 inference(backward_demodulation,[],[f684,f689])). 4.53/1.09 thf(f684,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_30), 4.53/1.09 inference(avatar_component_clause,[],[f682])). 4.53/1.09 thf(f907,plain,( 4.53/1.09 spl15_4 | spl15_5 | ~spl15_6 | ~spl15_16), 4.53/1.09 inference(avatar_contradiction_clause,[],[f906])). 4.53/1.09 thf(f906,plain,( 4.53/1.09 $false | (spl15_4 | spl15_5 | ~spl15_6 | ~spl15_16)), 4.53/1.09 inference(subsumption_resolution,[],[f905,f341])). 4.53/1.09 thf(f341,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | spl15_5), 4.53/1.09 inference(avatar_component_clause,[],[f339])). 4.53/1.09 thf(f339,plain,( 4.53/1.09 spl15_5 <=> ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_5])])). 4.53/1.09 thf(f905,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (spl15_4 | ~spl15_6 | ~spl15_16)), 4.53/1.09 inference(forward_demodulation,[],[f904,f584])). 4.53/1.09 thf(f584,plain,( 4.53/1.09 ((sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_16), 4.53/1.09 inference(avatar_component_clause,[],[f582])). 4.53/1.09 thf(f904,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (spl15_4 | ~spl15_6)), 4.53/1.09 inference(subsumption_resolution,[],[f903,f95])). 4.53/1.09 thf(f95,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | spl15_4), 4.53/1.09 inference(avatar_component_clause,[],[f93])). 4.53/1.09 thf(f903,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ~spl15_6), 4.53/1.09 inference(subsumption_resolution,[],[f367,f344])). 4.53/1.09 thf(f344,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_6), 4.53/1.09 inference(avatar_component_clause,[],[f343])). 4.53/1.09 thf(f367,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f366])). 4.53/1.09 thf(f366,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f358])). 4.53/1.09 thf(f358,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f51])). 4.53/1.09 thf(f51,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK13 @ X0) @ (sK14 @ X0)) != $true) | ((sK10 @ X0 @ (sK12 @ X0)) = $true) | ((sP0 @ X0) = $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f900,plain,( 4.53/1.09 spl15_6 | spl15_5 | spl15_4 | ~spl15_16), 4.53/1.09 inference(avatar_split_clause,[],[f899,f582,f93,f339,f343])). 4.53/1.09 thf(f899,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (spl15_4 | ~spl15_16)), 4.53/1.09 inference(forward_demodulation,[],[f898,f584])). 4.53/1.09 thf(f898,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | spl15_4), 4.53/1.09 inference(subsumption_resolution,[],[f407,f95])). 4.53/1.09 thf(f407,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f406])). 4.53/1.09 thf(f406,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f395])). 4.53/1.09 thf(f395,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)), 4.53/1.09 inference(primitive_instantiation,[],[f52])). 4.53/1.09 thf(f52,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK14 @ X0) @ (sK13 @ X0)) = $true) | ((sP0 @ X0) = $true) | ((sK10 @ X0 @ (sK12 @ X0)) = $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f897,plain,( 4.53/1.09 spl15_4 | ~spl15_5 | spl15_6), 4.53/1.09 inference(avatar_contradiction_clause,[],[f896])). 4.53/1.09 thf(f896,plain,( 4.53/1.09 $false | (spl15_4 | ~spl15_5 | spl15_6)), 4.53/1.09 inference(subsumption_resolution,[],[f895,f345])). 4.53/1.09 thf(f345,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_6), 4.53/1.09 inference(avatar_component_clause,[],[f343])). 4.53/1.09 thf(f895,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (spl15_4 | ~spl15_5)), 4.53/1.09 inference(subsumption_resolution,[],[f894,f95])). 4.53/1.09 thf(f894,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_5), 4.53/1.09 inference(equality_proxy_clausification,[],[f893])). 4.53/1.09 thf(f893,plain,( 4.53/1.09 (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ~spl15_5), 4.53/1.09 inference(beta_eta_normalization,[],[f892])). 4.53/1.09 thf(f892,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ~spl15_5), 4.53/1.09 inference(trivial_inequality_removal,[],[f891])). 4.53/1.09 thf(f891,plain,( 4.53/1.09 ($true != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ~spl15_5), 4.53/1.09 inference(superposition,[],[f50,f340])). 4.53/1.09 thf(f340,plain,( 4.53/1.09 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ~spl15_5), 4.53/1.09 inference(avatar_component_clause,[],[f339])). 4.53/1.09 thf(f50,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((sK10 @ X0 @ (sK11 @ X0)) != $true) | ((sP0 @ X0) = $true) | ((X0 @ (sK14 @ X0) @ (sK13 @ X0)) = $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f852,plain,( 4.53/1.09 ~spl15_50 | ~spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f285,f93,f849])). 4.53/1.09 thf(f285,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f284])). 4.53/1.09 thf(f284,plain,( 4.53/1.09 (((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f265])). 4.53/1.09 thf(f265,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f45])). 4.53/1.09 thf(f45,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK4 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f847,plain,( 4.53/1.09 ~spl15_49 | ~spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f207,f93,f844])). 4.53/1.09 thf(f207,plain,( 4.53/1.09 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f206])). 4.53/1.09 thf(f206,plain,( 4.53/1.09 (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f193])). 4.53/1.09 thf(f193,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f40])). 4.53/1.09 thf(f40,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f842,plain,( 4.53/1.09 ~spl15_4 | ~spl15_48), 4.53/1.09 inference(avatar_split_clause,[],[f264,f839,f93])). 4.53/1.09 thf(f264,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f263])). 4.53/1.09 thf(f263,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f241])). 4.53/1.09 thf(f241,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f42])). 4.53/1.09 thf(f42,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK2 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f837,plain,( 4.53/1.09 ~spl15_45 | ~spl15_47), 4.53/1.09 inference(avatar_contradiction_clause,[],[f836])). 4.53/1.09 thf(f836,plain,( 4.53/1.09 $false | (~spl15_45 | ~spl15_47)), 4.53/1.09 inference(trivial_inequality_removal,[],[f835])). 4.53/1.09 thf(f835,plain,( 4.53/1.09 ($false = $true) | (~spl15_45 | ~spl15_47)), 4.53/1.09 inference(backward_demodulation,[],[f792,f801])). 4.53/1.09 thf(f792,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_45), 4.53/1.09 inference(avatar_component_clause,[],[f790])). 4.53/1.09 thf(f818,plain,( 4.53/1.09 spl15_45 | spl15_17 | ~spl15_38 | ~spl15_42 | ~spl15_43), 4.53/1.09 inference(avatar_split_clause,[],[f817,f781,f751,f733,f587,f790])). 4.53/1.09 thf(f817,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_17 | ~spl15_38 | ~spl15_42 | ~spl15_43)), 4.53/1.09 inference(trivial_inequality_removal,[],[f816])). 4.53/1.09 thf(f816,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (spl15_17 | ~spl15_38 | ~spl15_42 | ~spl15_43)), 4.53/1.09 inference(forward_demodulation,[],[f815,f753])). 4.53/1.09 thf(f815,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_17 | ~spl15_38 | ~spl15_43)), 4.53/1.09 inference(trivial_inequality_removal,[],[f814])). 4.53/1.09 thf(f814,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_17 | ~spl15_38 | ~spl15_43)), 4.53/1.09 inference(forward_demodulation,[],[f806,f813])). 4.53/1.09 thf(f813,plain,( 4.53/1.09 (sK22 = $false) | (spl15_17 | ~spl15_38 | ~spl15_43)), 4.53/1.09 inference(trivial_inequality_removal,[],[f812])). 4.53/1.09 thf(f812,plain,( 4.53/1.09 (sK22 = $false) | ($false = $true) | (spl15_17 | ~spl15_38 | ~spl15_43)), 4.53/1.09 inference(forward_demodulation,[],[f811,f783])). 4.53/1.09 thf(f811,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK22 = $false) | (spl15_17 | ~spl15_38)), 4.53/1.09 inference(trivial_inequality_removal,[],[f810])). 4.53/1.09 thf(f810,plain,( 4.53/1.09 ($false = $true) | (sK22 = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_17 | ~spl15_38)), 4.53/1.09 inference(forward_demodulation,[],[f808,f735])). 4.53/1.09 thf(f808,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK22 = $false) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f804])). 4.53/1.09 thf(f804,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (sK22 = $false) | spl15_17), 4.53/1.09 inference(cases_simplifying,[],[f803])). 4.53/1.09 thf(f803,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK22) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK22)) | spl15_17), 4.53/1.09 inference(negative_extensionality,[],[f589])). 4.53/1.09 thf(f806,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK22 = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_17), 4.53/1.09 inference(binary_proxy_clausification,[],[f805])). 4.53/1.09 thf(f805,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK22 = $true) | spl15_17), 4.53/1.09 inference(cases_simplifying,[],[f803])). 4.53/1.09 thf(f802,plain,( 4.53/1.09 spl15_47 | spl15_37 | spl15_46 | spl15_15), 4.53/1.09 inference(avatar_split_clause,[],[f777,f577,f794,f713,f799])). 4.53/1.09 thf(f777,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | (sK21 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_15), 4.53/1.09 inference(binary_proxy_clausification,[],[f775])). 4.53/1.09 thf(f775,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK21 = $true) | spl15_15), 4.53/1.09 inference(cases_simplifying,[],[f773])). 4.53/1.09 thf(f797,plain,( 4.53/1.09 spl15_45 | spl15_33 | spl15_46 | spl15_15), 4.53/1.09 inference(avatar_split_clause,[],[f776,f577,f794,f696,f790])). 4.53/1.09 thf(f776,plain,( 4.53/1.09 (sK21 = $true) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_15), 4.53/1.09 inference(binary_proxy_clausification,[],[f775])). 4.53/1.09 thf(f788,plain,( 4.53/1.09 spl15_43 | spl15_44 | spl15_31 | spl15_15), 4.53/1.09 inference(avatar_split_clause,[],[f779,f577,f687,f785,f781])). 4.53/1.09 thf(f779,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | (sK21 = $false) | ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | spl15_15), 4.53/1.09 inference(binary_proxy_clausification,[],[f774])). 4.53/1.09 thf(f771,plain,( 4.53/1.09 spl15_36 | spl15_42 | spl15_14 | ~spl15_32 | ~spl15_38), 4.53/1.09 inference(avatar_split_clause,[],[f770,f733,f691,f572,f751,f709])). 4.53/1.09 thf(f770,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(trivial_inequality_removal,[],[f769])). 4.53/1.09 thf(f769,plain,( 4.53/1.09 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | ($false = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(forward_demodulation,[],[f759,f765])). 4.53/1.09 thf(f765,plain,( 4.53/1.09 (sK20 = $false) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(trivial_inequality_removal,[],[f764])). 4.53/1.09 thf(f764,plain,( 4.53/1.09 (sK20 = $false) | ($false = $true) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(forward_demodulation,[],[f763,f735])). 4.53/1.09 thf(f763,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (sK20 = $false) | (spl15_14 | ~spl15_32)), 4.53/1.09 inference(trivial_inequality_removal,[],[f762])). 4.53/1.09 thf(f762,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (sK20 = $false) | (spl15_14 | ~spl15_32)), 4.53/1.09 inference(forward_demodulation,[],[f760,f693])). 4.53/1.09 thf(f768,plain,( 4.53/1.09 spl15_34 | spl15_40 | spl15_14 | ~spl15_32 | ~spl15_38), 4.53/1.09 inference(avatar_split_clause,[],[f767,f733,f691,f572,f742,f700])). 4.53/1.09 thf(f767,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(trivial_inequality_removal,[],[f766])). 4.53/1.09 thf(f766,plain,( 4.53/1.09 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_14 | ~spl15_32 | ~spl15_38)), 4.53/1.09 inference(forward_demodulation,[],[f758,f765])). 4.53/1.09 thf(f722,plain,( 4.53/1.09 ~spl15_29 | ~spl15_32), 4.53/1.09 inference(avatar_contradiction_clause,[],[f721])). 4.53/1.09 thf(f721,plain,( 4.53/1.09 $false | (~spl15_29 | ~spl15_32)), 4.53/1.09 inference(trivial_inequality_removal,[],[f720])). 4.53/1.09 thf(f720,plain,( 4.53/1.09 ($false = $true) | (~spl15_29 | ~spl15_32)), 4.53/1.09 inference(backward_demodulation,[],[f680,f693])). 4.53/1.09 thf(f680,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_29), 4.53/1.09 inference(avatar_component_clause,[],[f678])). 4.53/1.09 thf(f719,plain,( 4.53/1.09 ~spl15_28 | ~spl15_35), 4.53/1.09 inference(avatar_contradiction_clause,[],[f718])). 4.53/1.09 thf(f718,plain,( 4.53/1.09 $false | (~spl15_28 | ~spl15_35)), 4.53/1.09 inference(trivial_inequality_removal,[],[f717])). 4.53/1.09 thf(f717,plain,( 4.53/1.09 ($false = $true) | (~spl15_28 | ~spl15_35)), 4.53/1.09 inference(forward_demodulation,[],[f706,f676])). 4.53/1.09 thf(f676,plain,( 4.53/1.09 ($false = sK18) | ~spl15_28), 4.53/1.09 inference(avatar_component_clause,[],[f674])). 4.53/1.09 thf(f674,plain,( 4.53/1.09 spl15_28 <=> ($false = sK18)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_28])])). 4.53/1.09 thf(f706,plain,( 4.53/1.09 (sK18 = $true) | ~spl15_35), 4.53/1.09 inference(avatar_component_clause,[],[f704])). 4.53/1.09 thf(f704,plain,( 4.53/1.09 spl15_35 <=> (sK18 = $true)), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_35])])). 4.53/1.09 thf(f716,plain,( 4.53/1.09 spl15_36 | spl15_35 | spl15_37 | spl15_3), 4.53/1.09 inference(avatar_split_clause,[],[f670,f89,f713,f704,f709])). 4.53/1.09 thf(f89,plain,( 4.53/1.09 spl15_3 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 introduced(avatar_definition,[new_symbols(naming,[spl15_3])])). 4.53/1.09 thf(f670,plain,( 4.53/1.09 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK18 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $false) | spl15_3), 4.53/1.09 inference(binary_proxy_clausification,[],[f668])). 4.53/1.09 thf(f668,plain,( 4.53/1.09 (sK18 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_3), 4.53/1.09 inference(cases_simplifying,[],[f666])). 4.53/1.09 thf(f666,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK18) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK18)) | spl15_3), 4.53/1.09 inference(negative_extensionality,[],[f91])). 4.53/1.09 thf(f91,plain,( 4.53/1.09 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_3), 4.53/1.09 inference(avatar_component_clause,[],[f89])). 4.53/1.09 thf(f707,plain,( 4.53/1.09 spl15_33 | spl15_34 | spl15_35 | spl15_3), 4.53/1.09 inference(avatar_split_clause,[],[f669,f89,f704,f700,f696])). 4.53/1.09 thf(f669,plain,( 4.53/1.09 (sK18 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_3), 4.53/1.09 inference(binary_proxy_clausification,[],[f668])). 4.53/1.09 thf(f694,plain,( 4.53/1.09 spl15_31 | spl15_28 | spl15_32 | spl15_3), 4.53/1.09 inference(avatar_split_clause,[],[f672,f89,f691,f674,f687])). 4.53/1.09 thf(f672,plain,( 4.53/1.09 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $false) | ($false = sK18) | spl15_3), 4.53/1.09 inference(binary_proxy_clausification,[],[f667])). 4.53/1.09 thf(f667,plain,( 4.53/1.09 ($false = sK18) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_3), 4.53/1.09 inference(cases_simplifying,[],[f666])). 4.53/1.09 thf(f685,plain,( 4.53/1.09 spl15_28 | spl15_29 | spl15_30 | spl15_3), 4.53/1.09 inference(avatar_split_clause,[],[f671,f89,f682,f678,f674])). 4.53/1.09 thf(f671,plain,( 4.53/1.09 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK18) | spl15_3), 4.53/1.09 inference(binary_proxy_clausification,[],[f667])). 4.53/1.09 thf(f590,plain,( 4.53/1.09 ~spl15_17 | ~spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f297,f93,f587])). 4.53/1.09 thf(f297,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f296])). 4.53/1.09 thf(f296,plain,( 4.53/1.09 (((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f289])). 4.53/1.09 thf(f289,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f48])). 4.53/1.09 thf(f48,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK6 @ X0) @ (sK4 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f580,plain,( 4.53/1.09 ~spl15_4 | ~spl15_15), 4.53/1.09 inference(avatar_split_clause,[],[f154,f577,f93])). 4.53/1.09 thf(f154,plain,( 4.53/1.09 ((sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f153])). 4.53/1.09 thf(f153,plain,( 4.53/1.09 (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f145])). 4.53/1.09 thf(f145,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f31])). 4.53/1.09 thf(f31,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK4 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f575,plain,( 4.53/1.09 ~spl15_4 | ~spl15_14), 4.53/1.09 inference(avatar_split_clause,[],[f109,f572,f93])). 4.53/1.09 thf(f109,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f108])). 4.53/1.09 thf(f108,plain,( 4.53/1.09 (((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f97])). 4.53/1.09 thf(f97,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f21])). 4.53/1.09 thf(f21,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK6 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f570,plain,( 4.53/1.09 ~spl15_13 | ~spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f192,f93,f567])). 4.53/1.09 thf(f192,plain,( 4.53/1.09 ((sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f191])). 4.53/1.09 thf(f191,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f169])). 4.53/1.09 thf(f169,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f35])). 4.53/1.09 thf(f35,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK6 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 thf(f346,plain,( 4.53/1.09 ~spl15_5 | ~spl15_6 | spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f337,f93,f343,f339])). 4.53/1.09 thf(f337,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | spl15_4), 4.53/1.09 inference(subsumption_resolution,[],[f336,f95])). 4.53/1.09 thf(f336,plain,( 4.53/1.09 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(equality_proxy_clausification,[],[f335])). 4.53/1.09 thf(f335,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f313])). 4.53/1.09 thf(f313,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = $true) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f49])). 4.53/1.09 thf(f49,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK13 @ X0) @ (sK14 @ X0)) != $true) | ((sP0 @ X0) = $true) | ((sK10 @ X0 @ (sK11 @ X0)) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f18])). 4.53/1.09 thf(f96,plain,( 4.53/1.09 ~spl15_3 | ~spl15_4), 4.53/1.09 inference(avatar_split_clause,[],[f68,f93,f89])). 4.53/1.09 thf(f68,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))), 4.53/1.09 inference(equality_proxy_clausification,[],[f67])). 4.53/1.09 thf(f67,plain,( 4.53/1.09 ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true) | (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)), 4.53/1.09 inference(beta_eta_normalization,[],[f55])). 4.53/1.09 thf(f55,plain,( 4.53/1.09 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != $true)), 4.53/1.09 inference(primitive_instantiation,[],[f19])). 4.53/1.09 thf(f19,plain,( 4.53/1.09 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 4.53/1.09 inference(cnf_transformation,[],[f14])). 4.53/1.09 % SZS output end Proof for theBenchmark 4.53/1.09 % (17741)------------------------------ 4.53/1.09 % (17741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.53/1.09 % (17741)Termination reason: Refutation 4.53/1.09 4.53/1.09 % (17741)Memory used [KB]: 6268 4.53/1.09 % (17741)Time elapsed: 0.085 s 4.53/1.09 % (17741)Instructions burned: 152 (million) 4.53/1.09 % (17741)------------------------------ 4.53/1.09 % (17741)------------------------------ 4.53/1.09 % (17666)Success in time 0.677 s 4.53/1.09 % Vampire---4.8 exiting 4.53/1.10 EOF