0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % 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 0.11/0.33 % Computer : n016.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 300 0.11/0.33 % WCLimit : 300 0.11/0.33 % DateTime : Fri Jul 5 04:26:09 EDT 2024 0.11/0.33 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.35 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 0.11/0.38 % (8815)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) 0.11/0.38 % (8816)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.11/0.38 % (8814)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.11/0.38 % (8818)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.11/0.38 % (8813)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.11/0.38 % (8817)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) 0.11/0.38 % (8819)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) 0.11/0.38 % (8818)Instruction limit reached! 0.11/0.38 % (8818)------------------------------ 0.11/0.38 % (8818)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.38 % (8818)Termination reason: Unknown 0.11/0.38 % (8818)Termination phase: shuffling 0.11/0.38 0.11/0.38 % (8818)Memory used [KB]: 1407 0.11/0.38 % (8818)Time elapsed: 0.004 s 0.11/0.38 % (8818)Instructions burned: 4 (million) 0.11/0.38 % (8818)------------------------------ 0.11/0.38 % (8818)------------------------------ 0.11/0.38 % (8812)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.11/0.39 % (8816)Instruction limit reached! 0.11/0.39 % (8816)------------------------------ 0.11/0.39 % (8816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.39 % (8816)Termination reason: Unknown 0.11/0.39 % (8816)Termination phase: shuffling 0.11/0.39 0.11/0.39 % (8816)Memory used [KB]: 1535 0.11/0.39 % (8816)Time elapsed: 0.010 s 0.11/0.39 % (8816)Instructions burned: 17 (million) 0.11/0.39 % (8816)------------------------------ 0.11/0.39 % (8816)------------------------------ 0.20/0.40 % (8814)Instruction limit reached! 0.20/0.40 % (8814)------------------------------ 0.20/0.40 % (8814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.40 % (8814)Termination reason: Unknown 0.20/0.40 % (8814)Termination phase: Preprocessing 3 0.20/0.40 0.20/0.40 % (8814)Memory used [KB]: 1791 0.20/0.40 % (8814)Time elapsed: 0.017 s 0.20/0.40 % (8814)Instructions burned: 34 (million) 0.20/0.40 % (8814)------------------------------ 0.20/0.40 % (8814)------------------------------ 0.20/0.40 % (8813)Instruction limit reached! 0.20/0.40 % (8813)------------------------------ 0.20/0.40 % (8813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.40 % (8813)Termination reason: Unknown 0.20/0.40 % (8813)Termination phase: Preprocessing 3 0.20/0.40 0.20/0.40 % (8813)Memory used [KB]: 1918 0.20/0.40 % (8813)Time elapsed: 0.019 s 0.20/0.40 % (8813)Instructions burned: 37 (million) 0.20/0.40 % (8813)------------------------------ 0.20/0.40 % (8813)------------------------------ 0.20/0.40 % (8820)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) 0.20/0.40 % (8821)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.20/0.41 % (8821)Instruction limit reached! 0.20/0.41 % (8821)------------------------------ 0.20/0.41 % (8821)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (8821)Termination reason: Unknown 0.20/0.41 % (8821)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (8821)Memory used [KB]: 1407 0.20/0.41 % (8821)Time elapsed: 0.006 s 0.20/0.41 % (8821)Instructions burned: 8 (million) 0.20/0.41 % (8821)------------------------------ 0.20/0.41 % (8821)------------------------------ 0.20/0.41 % (8820)Instruction limit reached! 0.20/0.41 % (8820)------------------------------ 0.20/0.41 % (8820)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (8820)Termination reason: Unknown 0.20/0.41 % (8820)Termination phase: Property scanning 0.20/0.41 0.20/0.41 % (8820)Memory used [KB]: 1663 0.20/0.41 % (8820)Time elapsed: 0.012 s 0.20/0.41 % (8820)Instructions burned: 22 (million) 0.20/0.41 % (8820)------------------------------ 0.20/0.41 % (8820)------------------------------ 0.20/0.41 % (8823)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) 0.20/0.41 % (8817)Instruction limit reached! 0.20/0.41 % (8817)------------------------------ 0.20/0.41 % (8817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (8817)Termination reason: Unknown 0.20/0.41 % (8817)Termination phase: Property scanning 0.20/0.41 0.20/0.41 % (8817)Memory used [KB]: 2046 0.20/0.41 % (8817)Time elapsed: 0.034 s 0.20/0.41 % (8817)Instructions burned: 75 (million) 0.20/0.41 % (8817)------------------------------ 0.20/0.41 % (8817)------------------------------ 0.20/0.42 % (8812)Instruction limit reached! 0.20/0.42 % (8812)------------------------------ 0.20/0.42 % (8812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.42 % (8812)Termination reason: Unknown 0.20/0.42 % (8812)Termination phase: Property scanning 0.20/0.42 0.20/0.42 % (8812)Memory used [KB]: 2174 0.20/0.42 % (8812)Time elapsed: 0.035 s 0.20/0.42 % (8812)Instructions burned: 97 (million) 0.20/0.42 % (8812)------------------------------ 0.20/0.42 % (8812)------------------------------ 0.20/0.42 % (8822)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) 0.20/0.42 % (8824)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) 0.20/0.42 % (8825)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) 0.20/0.43 % (8827)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.20/0.43 % (8824)Instruction limit reached! 0.20/0.43 % (8824)------------------------------ 0.20/0.43 % (8824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.43 % (8824)Termination reason: Unknown 0.20/0.43 % (8824)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (8824)Memory used [KB]: 1407 0.20/0.43 % (8824)Time elapsed: 0.006 s 0.20/0.43 % (8824)Instructions burned: 11 (million) 0.20/0.43 % (8824)------------------------------ 0.20/0.43 % (8824)------------------------------ 0.20/0.43 % (8826)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) 0.20/0.44 % (8823)Instruction limit reached! 0.20/0.44 % (8823)------------------------------ 0.20/0.44 % (8823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (8823)Termination reason: Unknown 0.20/0.44 % (8823)Termination phase: Property scanning 0.20/0.44 0.20/0.44 % (8823)Memory used [KB]: 2174 0.20/0.44 % (8823)Time elapsed: 0.033 s 0.20/0.44 % (8823)Instructions burned: 73 (million) 0.20/0.44 % (8823)------------------------------ 0.20/0.44 % (8823)------------------------------ 0.20/0.45 % (8827)Instruction limit reached! 0.20/0.45 % (8827)------------------------------ 0.20/0.45 % (8827)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (8827)Termination reason: Unknown 0.20/0.45 % (8827)Termination phase: Function definition elimination 0.20/0.45 0.20/0.45 % (8827)Memory used [KB]: 2046 0.20/0.45 % (8827)Time elapsed: 0.021 s 0.20/0.45 % (8827)Instructions burned: 61 (million) 0.20/0.45 % (8827)------------------------------ 0.20/0.45 % (8827)------------------------------ 0.20/0.45 % (8828)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.20/0.46 % (8830)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) 0.20/0.46 % (8829)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) 0.20/0.46 % (8828)Instruction limit reached! 0.20/0.46 % (8828)------------------------------ 0.20/0.46 % (8828)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (8828)Termination reason: Unknown 0.20/0.46 % (8828)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (8828)Memory used [KB]: 1535 0.20/0.46 % (8828)Time elapsed: 0.009 s 0.20/0.46 % (8828)Instructions burned: 15 (million) 0.20/0.46 % (8828)------------------------------ 0.20/0.46 % (8828)------------------------------ 0.20/0.46 % (8829)Instruction limit reached! 0.20/0.46 % (8829)------------------------------ 0.20/0.46 % (8829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (8829)Termination reason: Unknown 0.20/0.46 % (8829)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (8829)Memory used [KB]: 1279 0.20/0.46 % (8829)Time elapsed: 0.003 s 0.20/0.46 % (8829)Instructions burned: 4 (million) 0.20/0.46 % (8829)------------------------------ 0.20/0.46 % (8829)------------------------------ 0.20/0.47 % (8832)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) 0.20/0.47 % (8831)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) 0.20/0.48 % (8831)Instruction limit reached! 0.20/0.48 % (8831)------------------------------ 0.20/0.48 % (8831)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (8831)Termination reason: Unknown 0.20/0.48 % (8831)Termination phase: shuffling 0.20/0.48 0.20/0.48 % (8831)Memory used [KB]: 1535 0.20/0.48 % (8831)Time elapsed: 0.007 s 0.20/0.48 % (8831)Instructions burned: 12 (million) 0.20/0.48 % (8831)------------------------------ 0.20/0.48 % (8831)------------------------------ 0.20/0.49 % (8826)Instruction limit reached! 0.20/0.49 % (8826)------------------------------ 0.20/0.49 % (8826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.49 % (8826)Termination reason: Unknown 0.20/0.49 % (8826)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (8826)Memory used [KB]: 6652 0.20/0.49 % (8826)Time elapsed: 0.058 s 0.20/0.49 % (8826)Instructions burned: 128 (million) 0.20/0.49 % (8826)------------------------------ 0.20/0.49 % (8826)------------------------------ 0.20/0.49 % (8833)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 (2998ds/26Mi) 0.20/0.50 % (8834)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi) 0.20/0.51 % (8833)Instruction limit reached! 0.20/0.51 % (8833)------------------------------ 0.20/0.51 % (8833)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.51 % (8833)Termination reason: Unknown 0.20/0.51 % (8833)Termination phase: shuffling 0.20/0.51 0.20/0.51 % (8833)Memory used [KB]: 1791 0.20/0.51 % (8833)Time elapsed: 0.014 s 0.20/0.51 % (8833)Instructions burned: 27 (million) 0.20/0.51 % (8833)------------------------------ 0.20/0.51 % (8833)------------------------------ 0.20/0.52 % (8835)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) 0.20/0.53 % (8834)Instruction limit reached! 0.20/0.53 % (8834)------------------------------ 0.20/0.53 % (8834)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.53 % (8834)Termination reason: Unknown 0.20/0.53 % (8834)Termination phase: Function definition elimination 0.20/0.53 0.20/0.53 % (8834)Memory used [KB]: 2046 0.20/0.53 % (8834)Time elapsed: 0.028 s 0.20/0.53 % (8834)Instructions burned: 57 (million) 0.20/0.53 % (8834)------------------------------ 0.20/0.53 % (8834)------------------------------ 0.20/0.54 % (8832)Instruction limit reached! 0.20/0.54 % (8832)------------------------------ 0.20/0.54 % (8832)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.54 % (8832)Termination reason: Unknown 0.20/0.54 % (8832)Termination phase: Saturation 0.20/0.54 0.20/0.54 % (8832)Memory used [KB]: 6908 0.20/0.54 % (8832)Time elapsed: 0.070 s 0.20/0.54 % (8832)Instructions burned: 140 (million) 0.20/0.54 % (8832)------------------------------ 0.20/0.54 % (8832)------------------------------ 0.20/0.55 % (8815)Instruction limit reached! 0.20/0.55 % (8815)------------------------------ 0.20/0.55 % (8815)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.55 % (8815)Termination reason: Unknown 0.20/0.55 % (8815)Termination phase: Saturation 0.20/0.55 0.20/0.55 % (8815)Memory used [KB]: 7803 0.20/0.55 % (8815)Time elapsed: 0.168 s 0.20/0.55 % (8815)Instructions burned: 385 (million) 0.20/0.55 % (8815)------------------------------ 0.20/0.55 % (8815)------------------------------ 0.20/0.55 % (8836)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) 0.20/0.55 % (8836)Instruction limit reached! 0.20/0.55 % (8836)------------------------------ 0.20/0.55 % (8836)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.55 % (8836)Termination reason: Unknown 0.20/0.55 % (8836)Termination phase: shuffling 0.20/0.55 0.20/0.55 % (8836)Memory used [KB]: 1279 0.20/0.55 % (8836)Time elapsed: 0.003 s 0.20/0.55 % (8836)Instructions burned: 3 (million) 0.20/0.55 % (8836)------------------------------ 0.20/0.55 % (8836)------------------------------ 0.20/0.56 % (8837)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) 0.20/0.56 % (8838)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) 0.20/0.56 % (8839)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi) 0.20/0.56 % (8837)Instruction limit reached! 0.20/0.56 % (8837)------------------------------ 0.20/0.56 % (8837)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.56 % (8837)Termination reason: Unknown 0.20/0.56 % (8837)Termination phase: shuffling 0.20/0.56 0.20/0.56 % (8837)Memory used [KB]: 1663 0.20/0.56 % (8837)Time elapsed: 0.010 s 0.20/0.56 % (8837)Instructions burned: 19 (million) 0.20/0.56 % (8837)------------------------------ 0.20/0.56 % (8837)------------------------------ 0.20/0.58 % (8838)Instruction limit reached! 0.20/0.58 % (8838)------------------------------ 0.20/0.58 % (8838)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.58 % (8838)Termination reason: Unknown 0.20/0.58 % (8838)Termination phase: Property scanning 0.20/0.58 0.20/0.58 % (8838)Memory used [KB]: 2046 0.20/0.58 % (8838)Time elapsed: 0.019 s 0.20/0.58 % (8838)Instructions burned: 44 (million) 0.20/0.58 % (8838)------------------------------ 0.20/0.58 % (8838)------------------------------ 0.20/0.58 % (8819)First to succeed. 0.20/0.58 % (8835)Also succeeded, but the first one will report. 0.20/0.58 % (8819)Refutation found. Thanks to Tanya! 0.20/0.58 % SZS status Theorem for theBenchmark 0.20/0.58 % SZS output start Proof for theBenchmark 0.20/0.58 thf(type_def_5, type, nat: $tType). 0.20/0.58 thf(type_def_7, type, a: $tType). 0.20/0.58 thf(type_def_8, type, list_nat: $tType). 0.20/0.58 thf(type_def_9, type, list_a: $tType). 0.20/0.58 thf(func_def_0, type, list_nat: $tType). 0.20/0.58 thf(func_def_1, type, list_a: $tType). 0.20/0.58 thf(func_def_2, type, nat: $tType). 0.20/0.58 thf(func_def_3, type, a: $tType). 0.20/0.58 thf(func_def_4, type, minus_minus_nat: nat > nat > nat). 0.20/0.58 thf(func_def_5, type, plus_plus_nat: nat > nat > nat). 0.20/0.58 thf(func_def_6, type, if_nat: $o > nat > nat > nat). 0.20/0.58 thf(func_def_7, type, if_a: $o > a > a > a). 0.20/0.58 thf(func_def_8, type, list_asc_nat: list_nat > $o). 0.20/0.58 thf(func_def_9, type, list_desc_nat: list_nat > $o). 0.20/0.58 thf(func_def_10, type, list_strict_asc_nat: list_nat > $o). 0.20/0.58 thf(func_def_11, type, list_strict_desc_nat: list_nat > $o). 0.20/0.58 thf(func_def_12, type, listIn923761578nd_nat: list_nat > (nat > nat) > nat > nat). 0.20/0.58 thf(func_def_13, type, listIn1312259492pend_a: list_a > (nat > a) > nat > a). 0.20/0.58 thf(func_def_14, type, listIn870223551op_nat: nat > (nat > nat) > nat > nat). 0.20/0.58 thf(func_def_15, type, listIn1417627087drop_a: nat > (nat > a) > nat > a). 0.20/0.58 thf(func_def_16, type, listIn1299132951ke_nat: nat > (nat > nat) > list_nat). 0.20/0.58 thf(func_def_17, type, listIn84854903take_a: nat > (nat > a) > list_a). 0.20/0.58 thf(func_def_18, type, append_nat: list_nat > list_nat > list_nat). 0.20/0.58 thf(func_def_19, type, append_a: list_a > list_a > list_a). 0.20/0.58 thf(func_def_20, type, drop_nat: nat > list_nat > list_nat). 0.20/0.58 thf(func_def_21, type, drop_a: nat > list_a > list_a). 0.20/0.58 thf(func_def_22, type, last_nat: list_nat > nat). 0.20/0.58 thf(func_def_23, type, last_a: list_a > a). 0.20/0.58 thf(func_def_24, type, nth_nat: list_nat > nat > nat). 0.20/0.58 thf(func_def_25, type, nth_a: list_a > nat > a). 0.20/0.58 thf(func_def_26, type, size_size_list_nat: list_nat > nat). 0.20/0.58 thf(func_def_27, type, size_size_list_a: list_a > nat). 0.20/0.58 thf(func_def_28, type, ord_less_nat: nat > nat > $o). 0.20/0.58 thf(func_def_29, type, ord_less_eq_nat: nat > nat > $o). 0.20/0.58 thf(func_def_30, type, f: nat > a). 0.20/0.58 thf(func_def_31, type, n: nat). 0.20/0.58 thf(func_def_32, type, xs: list_a). 0.20/0.58 thf(func_def_47, type, sP0: nat > nat > nat > $o). 0.20/0.58 thf(func_def_48, type, sP1: nat > nat > nat > $o). 0.20/0.58 thf(func_def_49, type, sP2: nat > nat > nat > $o). 0.20/0.58 thf(func_def_50, type, sP3: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o). 0.20/0.58 thf(func_def_51, type, sP4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o). 0.20/0.58 thf(func_def_52, type, sP5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o). 0.20/0.58 thf(func_def_53, type, sP6: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o). 0.20/0.58 thf(func_def_54, type, sK7: nat > list_nat). 0.20/0.58 thf(func_def_55, type, sK8: list_nat > (nat > nat) > list_nat > (nat > nat) > list_nat). 0.20/0.58 thf(func_def_56, type, sK9: list_nat > list_nat > nat). 0.20/0.58 thf(func_def_57, type, sK10: (nat > nat) > nat). 0.20/0.58 thf(func_def_58, type, sK11: (nat > nat) > nat). 0.20/0.58 thf(func_def_59, type, sK12: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_60, type, sK13: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_61, type, sK14: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_62, type, sK15: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_63, type, sK16: nat > nat). 0.20/0.58 thf(func_def_64, type, sK17: (nat > nat) > nat). 0.20/0.58 thf(func_def_65, type, sK18: (nat > nat) > nat). 0.20/0.58 thf(func_def_66, type, sK19: nat > nat). 0.20/0.58 thf(func_def_67, type, sK20: (nat > nat) > nat). 0.20/0.58 thf(func_def_68, type, sK21: (nat > nat) > nat). 0.20/0.58 thf(func_def_69, type, sK22: list_a > list_a > nat). 0.20/0.58 thf(func_def_70, type, sK23: nat > nat). 0.20/0.58 thf(func_def_71, type, sK24: (nat > a) > (nat > a) > list_a > list_a > list_a). 0.20/0.58 thf(func_def_72, type, sK25: (nat > $o) > nat > nat). 0.20/0.58 thf(func_def_73, type, sK26: (nat > $o) > nat > nat). 0.20/0.58 thf(func_def_74, type, sK27: (nat > nat) > nat). 0.20/0.58 thf(func_def_75, type, sK28: (nat > nat) > nat). 0.20/0.58 thf(func_def_76, type, sK29: nat > nat). 0.20/0.58 thf(func_def_77, type, sK30: nat > nat). 0.20/0.58 thf(func_def_78, type, sK31: (nat > nat) > nat). 0.20/0.58 thf(func_def_79, type, sK32: (nat > nat) > nat). 0.20/0.58 thf(func_def_80, type, sK33: (nat > $o) > nat). 0.20/0.58 thf(func_def_81, type, sK34: nat > (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_82, type, sK35: list_nat > (nat > nat > $o) > nat > nat). 0.20/0.58 thf(func_def_83, type, sK36: (nat > nat > $o) > nat > list_nat). 0.20/0.58 thf(func_def_84, type, sK37: (nat > nat > $o) > nat > nat). 0.20/0.58 thf(func_def_85, type, sK38: nat > nat). 0.20/0.58 thf(func_def_86, type, sK39: (nat > nat) > nat). 0.20/0.58 thf(func_def_87, type, sK40: (nat > nat) > nat). 0.20/0.58 thf(func_def_88, type, sK41: nat > nat). 0.20/0.58 thf(func_def_89, type, sK42: (nat > nat) > nat). 0.20/0.58 thf(func_def_90, type, sK43: (nat > nat) > nat). 0.20/0.58 thf(func_def_91, type, sK44: (nat > $o) > nat). 0.20/0.58 thf(func_def_92, type, sK45: (nat > $o) > nat > nat). 0.20/0.58 thf(func_def_93, type, sK46: (nat > nat) > nat). 0.20/0.58 thf(func_def_94, type, sK47: (nat > nat) > nat). 0.20/0.58 thf(func_def_95, type, sK48: (nat > $o) > nat). 0.20/0.58 thf(func_def_96, type, sK49: nat > nat). 0.20/0.58 thf(func_def_97, type, sK50: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_98, type, sK51: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_99, type, sK52: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_100, type, sK53: (nat > nat) > nat). 0.20/0.58 thf(func_def_101, type, sK54: (nat > nat) > nat). 0.20/0.58 thf(func_def_102, type, sK55: (nat > a) > list_a > (nat > a) > list_a > list_a). 0.20/0.58 thf(func_def_103, type, sK56: nat > nat). 0.20/0.58 thf(func_def_104, type, sK57: (nat > nat) > nat). 0.20/0.58 thf(func_def_105, type, sK58: (nat > nat) > nat). 0.20/0.58 thf(func_def_106, type, sK59: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_107, type, sK60: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_108, type, sK61: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_109, type, sK62: (list_a > $o) > list_a). 0.20/0.58 thf(func_def_110, type, sK63: (nat > nat) > nat). 0.20/0.58 thf(func_def_111, type, sK64: (nat > nat) > nat). 0.20/0.58 thf(func_def_112, type, sK65: nat > nat > (nat > $o) > nat). 0.20/0.58 thf(func_def_113, type, sK66: nat > nat > (nat > $o) > nat). 0.20/0.58 thf(func_def_114, type, sK67: nat > nat). 0.20/0.58 thf(func_def_115, type, sK68: (nat > nat) > nat). 0.20/0.58 thf(func_def_116, type, sK69: (nat > nat) > nat). 0.20/0.58 thf(func_def_117, type, sK70: (nat > a > $o) > nat > list_a). 0.20/0.58 thf(func_def_118, type, sK71: (nat > a > $o) > nat > nat). 0.20/0.58 thf(func_def_119, type, sK72: nat > (nat > a > $o) > a). 0.20/0.58 thf(func_def_120, type, sK73: list_a > (nat > a > $o) > nat > nat). 0.20/0.58 thf(func_def_121, type, sK74: (list_nat > $o) > list_nat). 0.20/0.58 thf(func_def_122, type, sK75: nat > nat). 0.20/0.58 thf(func_def_123, type, sK76: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_124, type, sK77: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_125, type, sK78: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_126, type, sK79: nat > nat). 0.20/0.58 thf(func_def_127, type, sK80: list_a > list_a > list_a > list_a > list_a). 0.20/0.58 thf(func_def_128, type, sK81: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_129, type, sK82: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_130, type, sK83: nat > (nat > $o) > (nat > $o) > nat). 0.20/0.58 thf(func_def_131, type, sK84: (nat > $o) > nat). 0.20/0.58 thf(func_def_132, type, sK85: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_133, type, sK86: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_134, type, sK87: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_135, type, sK88: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_136, type, sK89: (nat > nat > $o) > nat). 0.20/0.58 thf(func_def_137, type, sK90: (nat > nat) > nat). 0.20/0.58 thf(func_def_138, type, sK91: (nat > nat) > nat). 0.20/0.58 thf(func_def_139, type, sK92: nat > list_a). 0.20/0.58 thf(func_def_140, type, sK93: nat > nat). 0.20/0.58 thf(func_def_142, type, ph95: !>[X0: $tType]:(X0)). 0.20/0.58 thf(func_def_143, type, sK96: nat). 0.20/0.58 thf(func_def_144, type, sK97: nat). 0.20/0.58 thf(f2935,plain,( 0.20/0.58 $false), 0.20/0.58 inference(avatar_sat_refutation,[],[f1695,f1772,f2226,f2884,f2934])). 0.20/0.58 thf(f2934,plain,( 0.20/0.58 spl94_2 | spl94_3), 0.20/0.58 inference(avatar_contradiction_clause,[],[f2933])). 0.20/0.58 thf(f2933,plain,( 0.20/0.58 $false | (spl94_2 | spl94_3)), 0.20/0.58 inference(subsumption_resolution,[],[f2904,f1694])). 0.20/0.58 thf(f1694,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl94_2), 0.20/0.58 inference(avatar_component_clause,[],[f1692])). 0.20/0.58 thf(f1692,plain,( 0.20/0.58 spl94_2 <=> ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true)), 0.20/0.58 introduced(avatar_definition,[new_symbols(naming,[spl94_2])])). 0.20/0.58 thf(f2904,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) | spl94_3), 0.20/0.58 inference(trivial_inequality_removal,[],[f2888])). 0.20/0.58 thf(f2888,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) | ($true != $true) | spl94_3), 0.20/0.58 inference(superposition,[],[f2882,f1281])). 0.20/0.58 thf(f1281,plain,( 0.20/0.58 ( ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) = $true) | ((ord_less_nat @ X1 @ X0) = $true)) )), 0.20/0.58 inference(cnf_transformation,[],[f1051])). 0.20/0.58 thf(f1051,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : ((((ord_less_eq_nat @ X0 @ X1) != $true) | ((ord_less_nat @ X1 @ X0) != $true)) & (((ord_less_nat @ X1 @ X0) = $true) | ((ord_less_eq_nat @ X0 @ X1) = $true)))), 0.20/0.58 inference(nnf_transformation,[],[f749])). 0.20/0.58 thf(f749,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) != $true) <=> ((ord_less_nat @ X1 @ X0) = $true))), 0.20/0.58 inference(flattening,[],[f591])). 0.20/0.58 thf(f591,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : (((ord_less_nat @ X1 @ X0) = $true) <=> ~((ord_less_eq_nat @ X0 @ X1) = $true))), 0.20/0.58 inference(fool_elimination,[],[f590])). 0.20/0.58 thf(f590,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : ((ord_less_nat @ X1 @ X0) = ~(ord_less_eq_nat @ X0 @ X1))), 0.20/0.58 inference(rectify,[],[f99])). 0.20/0.58 thf(f99,axiom,( 0.20/0.58 ! [X2 : nat,X3 : nat] : ((ord_less_nat @ X3 @ X2) = ~(ord_less_eq_nat @ X2 @ X3))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_not__le)). 0.20/0.58 thf(f2882,plain,( 0.20/0.58 ($true != (ord_less_eq_nat @ (size_size_list_a @ xs) @ n)) | spl94_3), 0.20/0.58 inference(trivial_inequality_removal,[],[f2881])). 0.20/0.58 thf(f2881,plain,( 0.20/0.58 ($true != (ord_less_eq_nat @ (size_size_list_a @ xs) @ n)) | ((listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) | spl94_3), 0.20/0.58 inference(superposition,[],[f2225,f1532])). 0.20/0.58 thf(f1532,plain,( 0.20/0.58 ( ! [X2 : list_a,X0 : nat,X1 : nat > a] : (((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X2)) @ X1) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X2 @ X1))) | ($true != (ord_less_eq_nat @ (size_size_list_a @ X2) @ X0))) )), 0.20/0.58 inference(cnf_transformation,[],[f861])). 0.20/0.58 thf(f861,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat > a,X2 : list_a] : (((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X2)) @ X1) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X2 @ X1))) | ($true != (ord_less_eq_nat @ (size_size_list_a @ X2) @ X0)))), 0.20/0.58 inference(ennf_transformation,[],[f697])). 0.20/0.58 thf(f697,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat > a,X2 : list_a] : (($true = (ord_less_eq_nat @ (size_size_list_a @ X2) @ X0)) => ((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X2)) @ X1) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X2 @ X1))))), 0.20/0.58 inference(fool_elimination,[],[f696])). 0.20/0.58 thf(f696,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat > a,X2 : list_a] : ((ord_less_eq_nat @ (size_size_list_a @ X2) @ X0) => ((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X2)) @ X1) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X2 @ X1))))), 0.20/0.58 inference(rectify,[],[f70])). 0.20/0.58 thf(f70,axiom,( 0.20/0.58 ! [X7 : nat,X23 : nat > a,X18 : list_a] : ((ord_less_eq_nat @ (size_size_list_a @ X18) @ X7) => ((listIn1417627087drop_a @ X7 @ (listIn1312259492pend_a @ X18 @ X23)) = (listIn1417627087drop_a @ (minus_minus_nat @ X7 @ (size_size_list_a @ X18)) @ X23)))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_i__append__i__drop__eq2)). 0.20/0.58 thf(f2225,plain,( 0.20/0.58 ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) | spl94_3), 0.20/0.58 inference(avatar_component_clause,[],[f2223])). 0.20/0.58 thf(f2223,plain,( 0.20/0.58 spl94_3 <=> ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))), 0.20/0.58 introduced(avatar_definition,[new_symbols(naming,[spl94_3])])). 0.20/0.58 thf(f2884,plain,( 0.20/0.58 spl94_1 | spl94_3), 0.20/0.58 inference(avatar_contradiction_clause,[],[f2883])). 0.20/0.58 thf(f2883,plain,( 0.20/0.58 $false | (spl94_1 | spl94_3)), 0.20/0.58 inference(subsumption_resolution,[],[f2882,f1727])). 0.20/0.58 thf(f1727,plain,( 0.20/0.58 ($true = (ord_less_eq_nat @ (size_size_list_a @ xs) @ n)) | spl94_1), 0.20/0.58 inference(trivial_inequality_removal,[],[f1712])). 0.20/0.58 thf(f1712,plain,( 0.20/0.58 ($true = (ord_less_eq_nat @ (size_size_list_a @ xs) @ n)) | ($true != $true) | spl94_1), 0.20/0.58 inference(superposition,[],[f1699,f1489])). 0.20/0.58 thf(f1489,plain,( 0.20/0.58 ( ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X1 @ X0) = $true) | ((ord_less_eq_nat @ X0 @ X1) = $true)) )), 0.20/0.58 inference(cnf_transformation,[],[f439])). 0.20/0.58 thf(f439,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X1 @ X0) = $true) | ((ord_less_eq_nat @ X0 @ X1) = $true))), 0.20/0.58 inference(fool_elimination,[],[f438])). 0.20/0.58 thf(f438,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : ((ord_less_eq_nat @ X0 @ X1) | (ord_less_eq_nat @ X1 @ X0))), 0.20/0.58 inference(rectify,[],[f190])). 0.20/0.58 thf(f190,axiom,( 0.20/0.58 ! [X3 : nat,X2 : nat] : ((ord_less_eq_nat @ X3 @ X2) | (ord_less_eq_nat @ X2 @ X3))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_linear)). 0.20/0.58 thf(f1699,plain,( 0.20/0.58 ((ord_less_eq_nat @ n @ (size_size_list_a @ xs)) != $true) | spl94_1), 0.20/0.58 inference(trivial_inequality_removal,[],[f1697])). 0.20/0.58 thf(f1697,plain,( 0.20/0.58 ((listIn1312259492pend_a @ (drop_a @ n @ xs) @ f) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) | ((ord_less_eq_nat @ n @ (size_size_list_a @ xs)) != $true) | spl94_1), 0.20/0.58 inference(superposition,[],[f1690,f1417])). 0.20/0.58 thf(f1417,plain,( 0.20/0.58 ( ! [X2 : nat > a,X0 : list_a,X1 : nat] : (((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X0 @ X2)) = (listIn1312259492pend_a @ (drop_a @ X1 @ X0) @ X2)) | ((ord_less_eq_nat @ X1 @ (size_size_list_a @ X0)) != $true)) )), 0.20/0.58 inference(cnf_transformation,[],[f890])). 0.20/0.58 thf(f890,plain,( 0.20/0.58 ! [X0 : list_a,X1 : nat,X2 : nat > a] : (((ord_less_eq_nat @ X1 @ (size_size_list_a @ X0)) != $true) | ((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X0 @ X2)) = (listIn1312259492pend_a @ (drop_a @ X1 @ X0) @ X2)))), 0.20/0.58 inference(ennf_transformation,[],[f607])). 0.20/0.58 thf(f607,plain,( 0.20/0.58 ! [X0 : list_a,X1 : nat,X2 : nat > a] : (((ord_less_eq_nat @ X1 @ (size_size_list_a @ X0)) = $true) => ((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X0 @ X2)) = (listIn1312259492pend_a @ (drop_a @ X1 @ X0) @ X2)))), 0.20/0.58 inference(fool_elimination,[],[f606])). 0.20/0.58 thf(f606,plain,( 0.20/0.58 ! [X0 : list_a,X1 : nat,X2 : nat > a] : ((ord_less_eq_nat @ X1 @ (size_size_list_a @ X0)) => ((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X0 @ X2)) = (listIn1312259492pend_a @ (drop_a @ X1 @ X0) @ X2)))), 0.20/0.58 inference(rectify,[],[f178])). 0.20/0.58 thf(f178,axiom,( 0.20/0.58 ! [X18 : list_a,X7 : nat,X23 : nat > a] : ((ord_less_eq_nat @ X7 @ (size_size_list_a @ X18)) => ((listIn1417627087drop_a @ X7 @ (listIn1312259492pend_a @ X18 @ X23)) = (listIn1312259492pend_a @ (drop_a @ X7 @ X18) @ X23)))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_i__append__i__drop__eq1)). 0.20/0.58 thf(f1690,plain,( 0.20/0.58 ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) | spl94_1), 0.20/0.58 inference(avatar_component_clause,[],[f1688])). 0.20/0.58 thf(f1688,plain,( 0.20/0.58 spl94_1 <=> ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))), 0.20/0.58 introduced(avatar_definition,[new_symbols(naming,[spl94_1])])). 0.20/0.58 thf(f2226,plain,( 0.20/0.58 ~spl94_3 | spl94_2), 0.20/0.58 inference(avatar_split_clause,[],[f1206,f1692,f2223])). 0.20/0.58 thf(f1206,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) | ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))), 0.20/0.58 inference(cnf_transformation,[],[f957])). 0.20/0.58 thf(f957,plain,( 0.20/0.58 (((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) & ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) | (((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) & ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)))), 0.20/0.58 inference(ennf_transformation,[],[f765])). 0.20/0.58 thf(f765,plain,( 0.20/0.58 ~((((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & (((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))))), 0.20/0.58 inference(flattening,[],[f679])). 0.20/0.58 thf(f679,plain,( 0.20/0.58 ~((((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))) & (~((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))))), 0.20/0.58 inference(fool_elimination,[],[f678])). 0.20/0.58 thf(f678,plain,( 0.20/0.58 ~(((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))) & (~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))))), 0.20/0.58 inference(rectify,[],[f62])). 0.20/0.58 thf(f62,negated_conjecture,( 0.20/0.58 ~(((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))) & (~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))))), 0.20/0.58 inference(negated_conjecture,[],[f61])). 0.20/0.58 thf(f61,conjecture,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))) & (~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 0.20/0.58 thf(f1772,plain,( 0.20/0.58 ~spl94_2 | spl94_1), 0.20/0.58 inference(avatar_split_clause,[],[f1735,f1688,f1692])). 0.20/0.58 thf(f1735,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl94_1), 0.20/0.58 inference(trivial_inequality_removal,[],[f1715])). 0.20/0.58 thf(f1715,plain,( 0.20/0.58 ($true != $true) | ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl94_1), 0.20/0.58 inference(superposition,[],[f1699,f1541])). 0.20/0.58 thf(f1541,plain,( 0.20/0.58 ( ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) = $true) | ((ord_less_nat @ X0 @ X1) != $true)) )), 0.20/0.58 inference(cnf_transformation,[],[f872])). 0.20/0.58 thf(f872,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : ((((ord_less_nat @ X0 @ X1) != $true) & (X0 != X1)) | ((ord_less_eq_nat @ X0 @ X1) = $true))), 0.20/0.58 inference(ennf_transformation,[],[f319])). 0.20/0.58 thf(f319,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : ((((ord_less_nat @ X0 @ X1) = $true) | (X0 = X1)) => ((ord_less_eq_nat @ X0 @ X1) = $true))), 0.20/0.58 inference(fool_elimination,[],[f318])). 0.20/0.58 thf(f318,plain,( 0.20/0.58 ! [X0 : nat,X1 : nat] : (((ord_less_nat @ X0 @ X1) | (X0 = X1)) => (ord_less_eq_nat @ X0 @ X1))), 0.20/0.58 inference(rectify,[],[f236])). 0.20/0.58 thf(f236,axiom,( 0.20/0.58 ! [X15 : nat,X7 : nat] : (((ord_less_nat @ X15 @ X7) | (X7 = X15)) => (ord_less_eq_nat @ X15 @ X7))), 0.20/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_less__or__eq__imp__le)). 0.20/0.58 thf(f1695,plain,( 0.20/0.58 ~spl94_1 | ~spl94_2), 0.20/0.58 inference(avatar_split_clause,[],[f1207,f1692,f1688])). 0.20/0.58 thf(f1207,plain,( 0.20/0.58 ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))), 0.20/0.58 inference(cnf_transformation,[],[f957])). 0.20/0.58 % SZS output end Proof for theBenchmark 0.20/0.58 % (8819)------------------------------ 0.20/0.58 % (8819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.58 % (8819)Termination reason: Refutation 0.20/0.58 0.20/0.58 % (8819)Memory used [KB]: 7547 0.20/0.58 % (8819)Time elapsed: 0.201 s 0.20/0.58 % (8819)Instructions burned: 414 (million) 0.20/0.58 % (8819)------------------------------ 0.20/0.58 % (8819)------------------------------ 0.20/0.58 % (8811)Success in time 0.215 s 0.20/0.58 % Vampire---4.8 exiting 0.20/0.58 EOF