0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % 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 0.13/0.34 % Computer : n009.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:28:09 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.23/0.36 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 0.23/0.41 % (17805)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.23/0.41 % (17811)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.23/0.41 % (17811)Instruction limit reached! 0.23/0.41 % (17811)------------------------------ 0.23/0.41 % (17811)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (17812)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) 0.23/0.41 % (17811)Termination reason: Unknown 0.23/0.41 % (17811)Termination phase: shuffling 0.23/0.41 0.23/0.41 % (17811)Memory used [KB]: 1535 0.23/0.41 % (17811)Time elapsed: 0.005 s 0.23/0.41 % (17811)Instructions burned: 5 (million) 0.23/0.41 % (17811)------------------------------ 0.23/0.41 % (17811)------------------------------ 0.23/0.41 % (17809)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.23/0.41 % (17810)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) 0.23/0.41 % (17806)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.23/0.41 % (17807)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.23/0.41 % (17808)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) 0.23/0.42 % (17809)Instruction limit reached! 0.23/0.42 % (17809)------------------------------ 0.23/0.42 % (17809)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (17809)Termination reason: Unknown 0.23/0.42 % (17809)Termination phase: shuffling 0.23/0.42 0.23/0.42 % (17809)Memory used [KB]: 1918 0.23/0.42 % (17809)Time elapsed: 0.012 s 0.23/0.42 % (17809)Instructions burned: 18 (million) 0.23/0.42 % (17809)------------------------------ 0.23/0.42 % (17809)------------------------------ 0.23/0.43 % (17813)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) 0.23/0.43 % (17807)Instruction limit reached! 0.23/0.43 % (17807)------------------------------ 0.23/0.43 % (17807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (17807)Termination reason: Unknown 0.23/0.43 % (17807)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (17807)Memory used [KB]: 2046 0.23/0.43 % (17807)Time elapsed: 0.021 s 0.23/0.43 % (17807)Instructions burned: 34 (million) 0.23/0.43 % (17807)------------------------------ 0.23/0.43 % (17807)------------------------------ 0.23/0.43 % (17806)Instruction limit reached! 0.23/0.43 % (17806)------------------------------ 0.23/0.43 % (17806)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (17806)Termination reason: Unknown 0.23/0.43 % (17806)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (17806)Memory used [KB]: 2046 0.23/0.43 % (17806)Time elapsed: 0.022 s 0.23/0.43 % (17806)Instructions burned: 37 (million) 0.23/0.43 % (17806)------------------------------ 0.23/0.43 % (17806)------------------------------ 0.23/0.44 % (17813)Instruction limit reached! 0.23/0.44 % (17813)------------------------------ 0.23/0.44 % (17813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (17813)Termination reason: Unknown 0.23/0.44 % (17813)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (17813)Memory used [KB]: 1918 0.23/0.44 % (17813)Time elapsed: 0.013 s 0.23/0.44 % (17813)Instructions burned: 21 (million) 0.23/0.44 % (17813)------------------------------ 0.23/0.44 % (17813)------------------------------ 0.23/0.45 % (17814)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.23/0.45 % (17815)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) 0.23/0.45 % (17816)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) 0.23/0.45 % (17810)Instruction limit reached! 0.23/0.45 % (17810)------------------------------ 0.23/0.45 % (17810)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (17810)Termination reason: Unknown 0.23/0.45 % (17810)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (17810)Memory used [KB]: 2558 0.23/0.45 % (17810)Time elapsed: 0.037 s 0.23/0.45 % (17810)Instructions burned: 74 (million) 0.23/0.45 % (17810)------------------------------ 0.23/0.45 % (17810)------------------------------ 0.23/0.45 % (17814)Instruction limit reached! 0.23/0.45 % (17814)------------------------------ 0.23/0.45 % (17814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (17814)Termination reason: Unknown 0.23/0.45 % (17814)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (17814)Memory used [KB]: 1535 0.23/0.45 % (17814)Time elapsed: 0.006 s 0.23/0.45 % (17814)Instructions burned: 7 (million) 0.23/0.45 % (17814)------------------------------ 0.23/0.45 % (17814)------------------------------ 0.23/0.46 % (17817)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) 0.23/0.46 % (17818)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) 0.23/0.46 % (17817)Instruction limit reached! 0.23/0.46 % (17817)------------------------------ 0.23/0.46 % (17817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.46 % (17817)Termination reason: Unknown 0.23/0.46 % (17817)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (17817)Memory used [KB]: 1663 0.23/0.46 % (17817)Time elapsed: 0.007 s 0.23/0.46 % (17817)Instructions burned: 10 (million) 0.23/0.46 % (17817)------------------------------ 0.23/0.46 % (17817)------------------------------ 0.23/0.46 % (17805)Instruction limit reached! 0.23/0.46 % (17805)------------------------------ 0.23/0.46 % (17805)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.46 % (17805)Termination reason: Unknown 0.23/0.46 % (17805)Termination phase: Property scanning 0.23/0.46 0.23/0.46 % (17805)Memory used [KB]: 2686 0.23/0.46 % (17805)Time elapsed: 0.059 s 0.23/0.46 % (17805)Instructions burned: 96 (million) 0.23/0.46 % (17805)------------------------------ 0.23/0.46 % (17805)------------------------------ 0.23/0.47 % (17819)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) 0.23/0.48 % (17821)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.23/0.48 % (17820)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.23/0.49 % (17821)Instruction limit reached! 0.23/0.49 % (17821)------------------------------ 0.23/0.49 % (17821)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.49 % (17821)Termination reason: Unknown 0.23/0.49 % (17821)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (17821)Memory used [KB]: 1791 0.23/0.49 % (17821)Time elapsed: 0.010 s 0.23/0.49 % (17821)Instructions burned: 14 (million) 0.23/0.49 % (17821)------------------------------ 0.23/0.49 % (17821)------------------------------ 0.23/0.49 % (17816)Instruction limit reached! 0.23/0.49 % (17816)------------------------------ 0.23/0.49 % (17816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.49 % (17816)Termination reason: Unknown 0.23/0.49 % (17816)Termination phase: Property scanning 0.23/0.49 0.23/0.49 % (17816)Memory used [KB]: 2686 0.23/0.49 % (17816)Time elapsed: 0.039 s 0.23/0.49 % (17816)Instructions burned: 72 (million) 0.23/0.49 % (17816)------------------------------ 0.23/0.49 % (17816)------------------------------ 0.23/0.50 % (17822)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 (2998ds/2Mi) 0.23/0.50 % (17822)Instruction limit reached! 0.23/0.50 % (17822)------------------------------ 0.23/0.50 % (17822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.50 % (17822)Termination reason: Unknown 0.23/0.50 % (17822)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (17822)Memory used [KB]: 1535 0.23/0.50 % (17822)Time elapsed: 0.003 s 0.23/0.50 % (17822)Instructions burned: 2 (million) 0.23/0.50 % (17822)------------------------------ 0.23/0.50 % (17822)------------------------------ 0.23/0.50 % (17823)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 (2998ds/1041Mi) 0.23/0.51 % (17820)Instruction limit reached! 0.23/0.51 % (17820)------------------------------ 0.23/0.51 % (17820)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.51 % (17820)Termination reason: Unknown 0.23/0.51 % (17820)Termination phase: Property scanning 0.23/0.51 0.23/0.51 % (17820)Memory used [KB]: 2686 0.23/0.51 % (17820)Time elapsed: 0.035 s 0.23/0.51 % (17820)Instructions burned: 62 (million) 0.23/0.51 % (17820)------------------------------ 0.23/0.51 % (17820)------------------------------ 0.23/0.52 % (17824)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2998ds/11Mi) 0.23/0.52 % (17824)Instruction limit reached! 0.23/0.52 % (17824)------------------------------ 0.23/0.52 % (17824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.52 % (17824)Termination reason: Unknown 0.23/0.52 % (17824)Termination phase: shuffling 0.23/0.52 0.23/0.52 % (17824)Memory used [KB]: 1791 0.23/0.52 % (17824)Time elapsed: 0.008 s 0.23/0.52 % (17824)Instructions burned: 12 (million) 0.23/0.52 % (17824)------------------------------ 0.23/0.52 % (17824)------------------------------ 0.23/0.53 % (17819)Instruction limit reached! 0.23/0.53 % (17819)------------------------------ 0.23/0.53 % (17819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.53 % (17819)Termination reason: Unknown 0.23/0.53 % (17819)Termination phase: Property scanning 0.23/0.53 0.23/0.53 % (17819)Memory used [KB]: 2814 0.23/0.53 % (17819)Time elapsed: 0.064 s 0.23/0.53 % (17819)Instructions burned: 128 (million) 0.23/0.53 % (17819)------------------------------ 0.23/0.53 % (17819)------------------------------ 0.23/0.53 % (17825)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi) 0.23/0.54 % (17826)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) 0.23/0.54 % (17828)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) 1.39/0.55 % (17826)Instruction limit reached! 1.39/0.55 % (17826)------------------------------ 1.39/0.55 % (17826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.39/0.55 % (17826)Termination reason: Unknown 1.39/0.55 % (17826)Termination phase: shuffling 1.39/0.55 1.39/0.55 % (17826)Memory used [KB]: 2046 1.39/0.55 % (17826)Time elapsed: 0.015 s 1.39/0.55 % (17826)Instructions burned: 26 (million) 1.39/0.55 % (17826)------------------------------ 1.39/0.55 % (17826)------------------------------ 1.55/0.57 % (17829)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) 1.55/0.57 % (17828)Instruction limit reached! 1.55/0.57 % (17828)------------------------------ 1.55/0.57 % (17828)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.57 % (17828)Termination reason: Unknown 1.55/0.57 % (17828)Termination phase: Preprocessing 3 1.55/0.57 1.55/0.57 % (17828)Memory used [KB]: 2558 1.55/0.57 % (17828)Time elapsed: 0.032 s 1.55/0.57 % (17828)Instructions burned: 56 (million) 1.55/0.57 % (17828)------------------------------ 1.55/0.57 % (17828)------------------------------ 1.55/0.59 % (17830)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) 1.55/0.59 % (17830)Instruction limit reached! 1.55/0.59 % (17830)------------------------------ 1.55/0.59 % (17830)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.59 % (17830)Termination reason: Unknown 1.55/0.59 % (17830)Termination phase: shuffling 1.55/0.59 1.55/0.59 % (17830)Memory used [KB]: 1535 1.55/0.59 % (17830)Time elapsed: 0.003 s 1.55/0.59 % (17830)Instructions burned: 3 (million) 1.55/0.59 % (17830)------------------------------ 1.55/0.59 % (17830)------------------------------ 1.55/0.61 % (17831)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 (2997ds/19Mi) 1.55/0.61 % (17825)Instruction limit reached! 1.55/0.61 % (17825)------------------------------ 1.55/0.61 % (17825)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.61 % (17825)Termination reason: Unknown 1.55/0.61 % (17825)Termination phase: Saturation 1.55/0.61 1.55/0.61 % (17825)Memory used [KB]: 7291 1.55/0.61 % (17825)Time elapsed: 0.080 s 1.55/0.61 % (17825)Instructions burned: 140 (million) 1.55/0.61 % (17825)------------------------------ 1.55/0.61 % (17825)------------------------------ 1.55/0.62 % (17831)Instruction limit reached! 1.55/0.62 % (17831)------------------------------ 1.55/0.62 % (17831)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.62 % (17831)Termination reason: Unknown 1.55/0.62 % (17831)Termination phase: shuffling 1.55/0.62 1.55/0.62 % (17831)Memory used [KB]: 1918 1.55/0.62 % (17831)Time elapsed: 0.012 s 1.55/0.62 % (17831)Instructions burned: 20 (million) 1.55/0.62 % (17831)------------------------------ 1.55/0.62 % (17831)------------------------------ 1.55/0.62 % (17832)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 (2997ds/44Mi) 1.55/0.63 % (17808)Instruction limit reached! 1.55/0.63 % (17808)------------------------------ 1.55/0.63 % (17808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.63 % (17808)Termination reason: Unknown 1.55/0.63 % (17808)Termination phase: Saturation 1.55/0.63 1.55/0.63 % (17808)Memory used [KB]: 7419 1.55/0.63 % (17808)Time elapsed: 0.218 s 1.55/0.63 % (17808)Instructions burned: 385 (million) 1.55/0.63 % (17808)------------------------------ 1.55/0.63 % (17808)------------------------------ 1.98/0.63 % (17833)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2997ds/191Mi) 1.98/0.65 % (17832)Instruction limit reached! 1.98/0.65 % (17832)------------------------------ 1.98/0.65 % (17832)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.98/0.65 % (17832)Termination reason: Unknown 1.98/0.65 % (17832)Termination phase: shuffling 1.98/0.65 1.98/0.65 % (17832)Memory used [KB]: 2430 1.98/0.65 % (17832)Time elapsed: 0.024 s 1.98/0.65 % (17832)Instructions burned: 45 (million) 1.98/0.65 % (17832)------------------------------ 1.98/0.65 % (17832)------------------------------ 1.98/0.65 % (17834)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi) 1.98/0.66 % (17835)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 (2997ds/105Mi) 2.13/0.68 % (17834)Instruction limit reached! 2.13/0.68 % (17834)------------------------------ 2.13/0.68 % (17834)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.68 % (17834)Termination reason: Unknown 2.13/0.68 % (17834)Termination phase: Property scanning 2.13/0.68 2.13/0.68 % (17834)Memory used [KB]: 2558 2.13/0.68 % (17834)Time elapsed: 0.032 s 2.13/0.68 % (17834)Instructions burned: 62 (million) 2.13/0.68 % (17834)------------------------------ 2.13/0.68 % (17834)------------------------------ 2.13/0.69 % (17836)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 2.13/0.70 % (17836)Instruction limit reached! 2.13/0.70 % (17836)------------------------------ 2.13/0.70 % (17836)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.70 % (17836)Termination reason: Unknown 2.13/0.70 % (17836)Termination phase: shuffling 2.13/0.70 2.13/0.70 % (17836)Memory used [KB]: 1535 2.13/0.70 % (17836)Time elapsed: 0.004 s 2.13/0.70 % (17836)Instructions burned: 4 (million) 2.13/0.70 % (17836)------------------------------ 2.13/0.70 % (17836)------------------------------ 2.13/0.70 % (17835)Instruction limit reached! 2.13/0.70 % (17835)------------------------------ 2.13/0.70 % (17835)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.70 % (17835)Termination reason: Unknown 2.13/0.70 % (17835)Termination phase: Property scanning 2.13/0.70 2.13/0.70 % (17835)Memory used [KB]: 2558 2.13/0.70 % (17835)Time elapsed: 0.043 s 2.13/0.70 % (17835)Instructions burned: 107 (million) 2.13/0.70 % (17835)------------------------------ 2.13/0.70 % (17835)------------------------------ 2.13/0.71 % (17838)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 (2996ds/3Mi) 2.13/0.71 % (17837)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 (2996ds/238Mi) 2.13/0.71 % (17838)Instruction limit reached! 2.13/0.71 % (17838)------------------------------ 2.13/0.71 % (17838)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.71 % (17838)Termination reason: Unknown 2.13/0.71 % (17838)Termination phase: shuffling 2.13/0.71 2.13/0.71 % (17838)Memory used [KB]: 1535 2.13/0.71 % (17838)Time elapsed: 0.003 s 2.13/0.71 % (17838)Instructions burned: 4 (million) 2.13/0.71 % (17838)------------------------------ 2.13/0.71 % (17838)------------------------------ 2.13/0.72 % (17829)Instruction limit reached! 2.13/0.72 % (17829)------------------------------ 2.13/0.72 % (17829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.72 % (17829)Termination reason: Unknown 2.13/0.72 % (17829)Termination phase: Saturation 2.13/0.72 2.13/0.72 % (17829)Memory used [KB]: 7419 2.13/0.72 % (17829)Time elapsed: 0.153 s 2.13/0.72 % (17829)Instructions burned: 275 (million) 2.13/0.72 % (17829)------------------------------ 2.13/0.72 % (17829)------------------------------ 2.13/0.72 % (17839)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 (2996ds/4Mi) 2.67/0.73 % (17839)Instruction limit reached! 2.67/0.73 % (17839)------------------------------ 2.67/0.73 % (17839)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.67/0.73 % (17839)Termination reason: Unknown 2.67/0.73 % (17839)Termination phase: shuffling 2.67/0.73 2.67/0.73 % (17839)Memory used [KB]: 1535 2.67/0.73 % (17839)Time elapsed: 0.003 s 2.67/0.73 % (17839)Instructions burned: 5 (million) 2.67/0.73 % (17839)------------------------------ 2.67/0.73 % (17839)------------------------------ 2.67/0.73 % (17833)Instruction limit reached! 2.67/0.73 % (17833)------------------------------ 2.67/0.73 % (17833)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.67/0.73 % (17833)Termination reason: Unknown 2.67/0.73 % (17833)Termination phase: Saturation 2.67/0.73 2.67/0.73 % (17833)Memory used [KB]: 7547 2.67/0.73 % (17833)Time elapsed: 0.095 s 2.67/0.73 % (17833)Instructions burned: 192 (million) 2.67/0.73 % (17833)------------------------------ 2.67/0.73 % (17833)------------------------------ 2.67/0.73 % (17841)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi) 2.67/0.74 % (17840)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 (2996ds/149Mi) 2.67/0.74 % (17842)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 (2996ds/199Mi) 2.94/0.78 % (17841)Instruction limit reached! 2.94/0.78 % (17841)------------------------------ 2.94/0.78 % (17841)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.94/0.78 % (17841)Termination reason: Unknown 2.94/0.78 % (17841)Termination phase: Property scanning 2.94/0.78 2.94/0.78 % (17841)Memory used [KB]: 2942 2.94/0.78 % (17841)Time elapsed: 0.049 s 2.94/0.78 % (17841)Instructions burned: 151 (million) 2.94/0.78 % (17841)------------------------------ 2.94/0.78 % (17841)------------------------------ 2.94/0.79 % (17843)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi) 2.94/0.80 % (17843)Instruction limit reached! 2.94/0.80 % (17843)------------------------------ 2.94/0.80 % (17843)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.94/0.80 % (17843)Termination reason: Unknown 2.94/0.80 % (17843)Termination phase: Property scanning 2.94/0.80 2.94/0.80 % (17843)Memory used [KB]: 2046 2.94/0.80 % (17843)Time elapsed: 0.014 s 2.94/0.80 % (17843)Instructions burned: 40 (million) 2.94/0.80 % (17843)------------------------------ 2.94/0.80 % (17843)------------------------------ 2.94/0.81 % (17840)Instruction limit reached! 2.94/0.81 % (17840)------------------------------ 2.94/0.81 % (17840)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.94/0.81 % (17840)Termination reason: Unknown 2.94/0.81 % (17840)Termination phase: Property scanning 2.94/0.81 2.94/0.81 % (17840)Memory used [KB]: 2686 2.94/0.81 % (17840)Time elapsed: 0.072 s 2.94/0.81 % (17840)Instructions burned: 150 (million) 2.94/0.81 % (17840)------------------------------ 2.94/0.81 % (17840)------------------------------ 2.94/0.81 % (17844)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on theBenchmark for (2995ds/721Mi) 2.94/0.82 % (17845)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi) 2.94/0.82 % (17837)Instruction limit reached! 2.94/0.82 % (17837)------------------------------ 2.94/0.82 % (17837)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.94/0.82 % (17837)Termination reason: Unknown 2.94/0.82 % (17837)Termination phase: Saturation 2.94/0.82 2.94/0.82 % (17837)Memory used [KB]: 7547 2.94/0.82 % (17837)Time elapsed: 0.110 s 2.94/0.82 % (17837)Instructions burned: 240 (million) 2.94/0.82 % (17837)------------------------------ 2.94/0.82 % (17837)------------------------------ 2.94/0.82 % (17845)Instruction limit reached! 2.94/0.82 % (17845)------------------------------ 2.94/0.82 % (17845)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.94/0.82 % (17845)Termination reason: Unknown 2.94/0.82 % (17845)Termination phase: shuffling 2.94/0.82 2.94/0.82 % (17845)Memory used [KB]: 1535 2.94/0.82 % (17845)Time elapsed: 0.004 s 2.94/0.82 % (17845)Instructions burned: 4 (million) 2.94/0.82 % (17845)------------------------------ 2.94/0.82 % (17845)------------------------------ 3.53/0.84 % (17842)Instruction limit reached! 3.53/0.84 % (17842)------------------------------ 3.53/0.84 % (17842)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.53/0.84 % (17842)Termination reason: Unknown 3.53/0.84 % (17842)Termination phase: Saturation 3.53/0.84 3.53/0.84 % (17842)Memory used [KB]: 3454 3.53/0.84 % (17842)Time elapsed: 0.095 s 3.53/0.84 % (17842)Instructions burned: 199 (million) 3.53/0.84 % (17842)------------------------------ 3.53/0.84 % (17842)------------------------------ 3.53/0.84 % (17846)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 (2995ds/18Mi) 3.53/0.84 % (17846)Instruction limit reached! 3.53/0.84 % (17846)------------------------------ 3.53/0.84 % (17846)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.53/0.84 % (17846)Termination reason: Unknown 3.53/0.84 % (17846)Termination phase: shuffling 3.53/0.84 3.53/0.84 % (17846)Memory used [KB]: 1918 3.53/0.84 % (17846)Time elapsed: 0.011 s 3.53/0.84 % (17846)Instructions burned: 18 (million) 3.53/0.84 % (17846)------------------------------ 3.53/0.84 % (17846)------------------------------ 3.53/0.85 % (17847)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on theBenchmark for (2995ds/218Mi) 3.53/0.85 % (17848)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 (2995ds/448Mi) 3.53/0.86 % (17849)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 (2995ds/6Mi) 3.53/0.86 % (17812)Instruction limit reached! 3.53/0.86 % (17812)------------------------------ 3.53/0.86 % (17812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.53/0.86 % (17812)Termination reason: Unknown 3.53/0.86 % (17812)Termination phase: Saturation 3.53/0.86 3.53/0.86 % (17812)Memory used [KB]: 8699 3.53/0.86 % (17812)Time elapsed: 0.449 s 3.53/0.86 % (17812)Instructions burned: 915 (million) 3.53/0.86 % (17812)------------------------------ 3.53/0.86 % (17812)------------------------------ 3.53/0.86 % (17849)Instruction limit reached! 3.53/0.86 % (17849)------------------------------ 3.53/0.86 % (17849)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.53/0.86 % (17849)Termination reason: Unknown 3.53/0.86 % (17849)Termination phase: shuffling 3.53/0.86 3.53/0.86 % (17849)Memory used [KB]: 1535 3.53/0.86 % (17849)Time elapsed: 0.005 s 3.53/0.86 % (17849)Instructions burned: 7 (million) 3.53/0.86 % (17849)------------------------------ 3.53/0.86 % (17849)------------------------------ 3.82/0.87 % (17850)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on theBenchmark for (2995ds/9Mi) 3.82/0.88 % (17850)Instruction limit reached! 3.82/0.88 % (17850)------------------------------ 3.82/0.88 % (17850)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.82/0.88 % (17850)Termination reason: Unknown 3.82/0.88 % (17850)Termination phase: shuffling 3.82/0.88 3.82/0.88 % (17850)Memory used [KB]: 1663 3.82/0.88 % (17850)Time elapsed: 0.006 s 3.82/0.88 % (17850)Instructions burned: 9 (million) 3.82/0.88 % (17850)------------------------------ 3.82/0.88 % (17850)------------------------------ 3.82/0.88 % (17851)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2995ds/16Mi) 3.82/0.89 % (17823)First to succeed. 3.82/0.89 % (17852)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 (2994ds/40Mi) 3.82/0.89 % (17823)Refutation found. Thanks to Tanya! 3.82/0.89 % SZS status Theorem for theBenchmark 3.82/0.89 % SZS output start Proof for theBenchmark 3.82/0.89 thf(type_def_5, type, nat: $tType). 3.82/0.89 thf(type_def_7, type, type_Mirabelle_typ: $tType). 3.82/0.89 thf(type_def_8, type, set_nat: $tType). 3.82/0.89 thf(type_def_9, type, list_nat_o: $tType). 3.82/0.89 thf(type_def_10, type, list_n396811828le_typ: $tType). 3.82/0.89 thf(type_def_11, type, list_l865305402le_typ: $tType). 3.82/0.89 thf(type_def_12, type, list_l1334080099scheme: $tType). 3.82/0.89 thf(type_def_13, type, list_l1704431731scheme: $tType). 3.82/0.89 thf(type_def_14, type, list_T1103309005le_typ: $tType). 3.82/0.89 thf(type_def_15, type, list_l1790670291le_typ: $tType). 3.82/0.89 thf(type_def_16, type, list_T247403987scheme: $tType). 3.82/0.89 thf(type_def_17, type, list_nat: $tType). 3.82/0.89 thf(type_def_18, type, list_set_nat: $tType). 3.82/0.89 thf(type_def_19, type, type_M1694694083scheme: $tType). 3.82/0.89 thf(func_def_0, type, list_l1704431731scheme: $tType). 3.82/0.89 thf(func_def_1, type, list_l865305402le_typ: $tType). 3.82/0.89 thf(func_def_2, type, list_l1334080099scheme: $tType). 3.82/0.89 thf(func_def_3, type, list_n396811828le_typ: $tType). 3.82/0.89 thf(func_def_4, type, list_l1790670291le_typ: $tType). 3.82/0.89 thf(func_def_5, type, list_T247403987scheme: $tType). 3.82/0.89 thf(func_def_6, type, list_T1103309005le_typ: $tType). 3.82/0.89 thf(func_def_7, type, type_M1694694083scheme: $tType). 3.82/0.89 thf(func_def_8, type, list_set_nat: $tType). 3.82/0.89 thf(func_def_9, type, list_nat_o: $tType). 3.82/0.89 thf(func_def_10, type, type_Mirabelle_typ: $tType). 3.82/0.89 thf(func_def_11, type, list_nat: $tType). 3.82/0.89 thf(func_def_12, type, set_nat: $tType). 3.82/0.89 thf(func_def_13, type, nat: $tType). 3.82/0.89 thf(func_def_14, type, the_nat: (nat > $o) > nat). 3.82/0.89 thf(func_def_15, type, if_nat: $o > nat > nat > nat). 3.82/0.89 thf(func_def_16, type, if_Typ1169047309le_typ: $o > type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ). 3.82/0.89 thf(func_def_17, type, semila1414375521_nat_o: ((nat > $o) > (nat > $o) > nat > $o) > (nat > $o) > $o). 3.82/0.89 thf(func_def_18, type, semila1369944356et_nat: (set_nat > set_nat > set_nat) > set_nat > $o). 3.82/0.89 thf(func_def_19, type, sup_sup_nat_o: (nat > $o) > (nat > $o) > nat > $o). 3.82/0.89 thf(func_def_20, type, sup_sup_nat: nat > nat > nat). 3.82/0.89 thf(func_def_21, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 3.82/0.89 thf(func_def_22, type, cons_nat_o: (nat > $o) > list_nat_o > list_nat_o). 3.82/0.89 thf(func_def_23, type, cons_n499085924le_typ: (nat > type_Mirabelle_typ) > list_n396811828le_typ > list_n396811828le_typ). 3.82/0.89 thf(func_def_24, type, cons_l1800589546le_typ: list_n396811828le_typ > list_l865305402le_typ > list_l865305402le_typ). 3.82/0.89 thf(func_def_25, type, cons_l531914285scheme: list_l1334080099scheme > list_l1704431731scheme > list_l1704431731scheme). 3.82/0.89 thf(func_def_26, type, cons_l392684675le_typ: list_T1103309005le_typ > list_l1790670291le_typ > list_l1790670291le_typ). 3.82/0.89 thf(func_def_27, type, cons_l1910959773scheme: list_T247403987scheme > list_l1334080099scheme > list_l1334080099scheme). 3.82/0.89 thf(func_def_28, type, cons_nat: nat > list_nat > list_nat). 3.82/0.89 thf(func_def_29, type, cons_set_nat: set_nat > list_set_nat > list_set_nat). 3.82/0.89 thf(func_def_30, type, cons_T363929085le_typ: type_Mirabelle_typ > list_T1103309005le_typ > list_T1103309005le_typ). 3.82/0.89 thf(func_def_31, type, cons_T633159821scheme: type_M1694694083scheme > list_T247403987scheme > list_T247403987scheme). 3.82/0.89 thf(func_def_32, type, nil_nat_o: list_nat_o). 3.82/0.89 thf(func_def_33, type, nil_nat: list_nat). 3.82/0.89 thf(func_def_34, type, nil_set_nat: list_set_nat). 3.82/0.89 thf(func_def_35, type, nil_Ty61485117scheme: list_T247403987scheme). 3.82/0.89 thf(func_def_36, type, ord_lexordp_eq_nat_o: list_nat_o > list_nat_o > $o). 3.82/0.89 thf(func_def_37, type, ord_lexordp_eq_nat: list_nat > list_nat > $o). 3.82/0.89 thf(func_def_38, type, ord_le727790544et_nat: list_set_nat > list_set_nat > $o). 3.82/0.89 thf(func_def_39, type, bot_bot_nat_o: nat > $o). 3.82/0.89 thf(func_def_41, type, bot_bot_nat: nat). 3.82/0.89 thf(func_def_42, type, bot_bot_set_nat: set_nat). 3.82/0.89 thf(func_def_43, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o). 3.82/0.89 thf(func_def_44, type, ord_less_nat: nat > nat > $o). 3.82/0.89 thf(func_def_45, type, ord_less_set_nat: set_nat > set_nat > $o). 3.82/0.89 thf(func_def_46, type, collect_nat: (nat > $o) > set_nat). 3.82/0.89 thf(func_def_47, type, insert_nat: nat > set_nat > set_nat). 3.82/0.89 thf(func_def_48, type, is_empty_nat: set_nat > $o). 3.82/0.89 thf(func_def_49, type, is_singleton_nat: set_nat > $o). 3.82/0.89 thf(func_def_50, type, the_elem_nat: set_nat > nat). 3.82/0.89 thf(func_def_51, type, type_Mirabelle_cod: (nat > type_Mirabelle_typ) > set_nat). 3.82/0.89 thf(func_def_52, type, type_Mirabelle_dom: (nat > type_Mirabelle_typ) > set_nat). 3.82/0.89 thf(func_def_53, type, type_M405566558_subst: nat > type_Mirabelle_typ). 3.82/0.89 thf(func_def_54, type, type_M1006385707scheme: type_Mirabelle_typ > type_M1694694083scheme). 3.82/0.89 thf(func_def_55, type, type_M1734147655le_typ: nat > (nat > type_Mirabelle_typ) > $o). 3.82/0.89 thf(func_def_56, type, type_M244876119le_typ: nat > list_n396811828le_typ > $o). 3.82/0.89 thf(func_def_57, type, type_M2086816231le_typ: nat > list_l865305402le_typ > $o). 3.82/0.89 thf(func_def_58, type, type_M1172169604scheme: nat > list_l1704431731scheme > $o). 3.82/0.89 thf(func_def_59, type, type_M1826376056le_typ: nat > list_l1790670291le_typ > $o). 3.82/0.89 thf(func_def_60, type, type_M1377662078scheme: nat > list_l1334080099scheme > $o). 3.82/0.89 thf(func_def_61, type, type_M263553000le_typ: nat > list_T1103309005le_typ > $o). 3.82/0.89 thf(func_def_62, type, type_M2064939256scheme: nat > list_T247403987scheme > $o). 3.82/0.89 thf(func_def_63, type, type_M1211611096le_typ: nat > type_Mirabelle_typ > $o). 3.82/0.89 thf(func_def_64, type, type_M1963061490scheme: nat > type_M1694694083scheme > $o). 3.82/0.89 thf(func_def_65, type, type_M1898948661at_nat: nat > nat). 3.82/0.89 thf(func_def_66, type, type_Mirabelle_Fun: type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ). 3.82/0.89 thf(func_def_67, type, type_Mirabelle_TVar: nat > type_Mirabelle_typ). 3.82/0.89 thf(func_def_68, type, type_M1743451154le_typ: type_Mirabelle_typ > type_Mirabelle_typ). 3.82/0.89 thf(func_def_69, type, type_M2048935292e_BVar: nat > type_M1694694083scheme). 3.82/0.89 thf(func_def_70, type, type_M876316792e_FVar: nat > type_M1694694083scheme). 3.82/0.89 thf(func_def_71, type, type_M155660035e_SFun: type_M1694694083scheme > type_M1694694083scheme > type_M1694694083scheme). 3.82/0.89 thf(func_def_72, type, type_M1158474302le_typ: (nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > nat > type_Mirabelle_typ). 3.82/0.89 thf(func_def_73, type, type_M737052622le_typ: (nat > type_Mirabelle_typ) > list_n396811828le_typ > list_n396811828le_typ). 3.82/0.89 thf(func_def_74, type, type_M1385924301scheme: (nat > type_Mirabelle_typ) > list_l1704431731scheme > list_l1704431731scheme). 3.82/0.89 thf(func_def_75, type, type_M1913464047le_typ: (nat > type_Mirabelle_typ) > list_l1790670291le_typ > list_l1790670291le_typ). 3.82/0.89 thf(func_def_76, type, type_M1061687367scheme: (nat > type_Mirabelle_typ) > list_l1334080099scheme > list_l1334080099scheme). 3.82/0.89 thf(func_def_77, type, type_M1440203487le_typ: (nat > type_Mirabelle_typ) > list_T1103309005le_typ > list_T1103309005le_typ). 3.82/0.89 thf(func_def_78, type, type_M1944210753scheme: (nat > type_Mirabelle_typ) > list_T247403987scheme > list_T247403987scheme). 3.82/0.89 thf(func_def_79, type, type_M784671311le_typ: (nat > type_Mirabelle_typ) > type_Mirabelle_typ > type_Mirabelle_typ). 3.82/0.89 thf(func_def_80, type, type_M1690910139scheme: (nat > type_Mirabelle_typ) > type_M1694694083scheme > type_M1694694083scheme). 3.82/0.89 thf(func_def_81, type, type_M772783356le_typ: (nat > type_Mirabelle_typ) > set_nat). 3.82/0.89 thf(func_def_82, type, type_M513401740le_typ: list_n396811828le_typ > set_nat). 3.82/0.89 thf(func_def_83, type, type_M1496178953scheme: list_l1334080099scheme > set_nat). 3.82/0.89 thf(func_def_84, type, type_M1539052445le_typ: list_T1103309005le_typ > set_nat). 3.82/0.89 thf(func_def_85, type, type_M961603331scheme: list_T247403987scheme > set_nat). 3.82/0.89 thf(func_def_86, type, type_M801073677le_typ: type_Mirabelle_typ > set_nat). 3.82/0.89 thf(func_def_87, type, type_M326705277scheme: type_M1694694083scheme > set_nat). 3.82/0.89 thf(func_def_88, type, type_M1715972684le_typ: (nat > type_Mirabelle_typ) > set_nat). 3.82/0.89 thf(func_def_89, type, type_M1691543772le_typ: list_n396811828le_typ > set_nat). 3.82/0.89 thf(func_def_90, type, type_M906078444le_typ: list_l865305402le_typ > set_nat). 3.82/0.89 thf(func_def_91, type, type_M1926053183scheme: list_l1704431731scheme > set_nat). 3.82/0.89 thf(func_def_92, type, type_M1418941437le_typ: list_l1790670291le_typ > set_nat). 3.82/0.89 thf(func_def_93, type, type_M1958029241scheme: list_l1334080099scheme > set_nat). 3.82/0.89 thf(func_def_94, type, type_M510873837le_typ: list_T1103309005le_typ > set_nat). 3.82/0.89 thf(func_def_95, type, type_M141510067scheme: list_T247403987scheme > set_nat). 3.82/0.89 thf(func_def_96, type, type_M49385309le_typ: type_Mirabelle_typ > set_nat). 3.82/0.89 thf(func_def_97, type, type_M1050318637scheme: type_M1694694083scheme > set_nat). 3.82/0.89 thf(func_def_98, type, member_nat: nat > set_nat > $o). 3.82/0.89 thf(func_def_99, type, s1: nat > type_Mirabelle_typ). 3.82/0.89 thf(func_def_100, type, s2: nat > type_Mirabelle_typ). 3.82/0.89 thf(func_def_101, type, n: nat). 3.82/0.89 thf(func_def_102, type, x: nat). 3.82/0.89 thf(func_def_123, type, ph1: !>[X0: $tType]:(X0)). 3.82/0.89 thf(func_def_124, type, sK2: nat). 3.82/0.89 thf(func_def_125, type, sK3: nat > nat). 3.82/0.89 thf(func_def_126, type, sK4: nat). 3.82/0.89 thf(func_def_127, type, sK5: nat > nat). 3.82/0.89 thf(func_def_128, type, sK6: nat > nat). 3.82/0.89 thf(func_def_129, type, sK7: nat > nat). 3.82/0.89 thf(f3788,plain,( 3.82/0.89 $false), 3.82/0.89 inference(trivial_inequality_removal,[],[f3787])). 3.82/0.89 thf(f3787,plain,( 3.82/0.89 ($true = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3786])). 3.82/0.89 thf(f3786,plain,( 3.82/0.89 ($true = (~ $true))), 3.82/0.89 inference(boolean_simplification,[],[f3784])). 3.82/0.89 thf(f3784,plain,( 3.82/0.89 ((~ ((type_M1006385707scheme @ (s1 @ n)) = (type_M1006385707scheme @ (s1 @ n)))) = $true)), 3.82/0.89 inference(backward_demodulation,[],[f3751,f3780])). 3.82/0.89 thf(f3780,plain,( 3.82/0.89 ((type_M1006385707scheme @ (s2 @ n)) = (type_M1006385707scheme @ (s1 @ n)))), 3.82/0.89 inference(equality_proxy_clausification,[],[f3768])). 3.82/0.89 thf(f3768,plain,( 3.82/0.89 (((type_M1006385707scheme @ (s1 @ n)) = (type_M1006385707scheme @ (s2 @ n))) = $true)), 3.82/0.89 inference(not_proxy_clausification,[],[f3730])). 3.82/0.89 thf(f3730,plain,( 3.82/0.89 ((~ ((type_M1006385707scheme @ (s1 @ n)) = (type_M1006385707scheme @ (s2 @ n)))) = $false)), 3.82/0.89 inference(backward_demodulation,[],[f3690,f3722])). 3.82/0.89 thf(f3722,plain,( 3.82/0.89 (n = x)), 3.82/0.89 inference(equality_proxy_clausification,[],[f3710])). 3.82/0.89 thf(f3710,plain,( 3.82/0.89 ((x = n) = $true)), 3.82/0.89 inference(not_proxy_clausification,[],[f3703])). 3.82/0.89 thf(f3703,plain,( 3.82/0.89 ((~ (x = n)) = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3702])). 3.82/0.89 thf(f3702,plain,( 3.82/0.89 (((~ (x = n)) | $false) = $false)), 3.82/0.89 inference(backward_demodulation,[],[f3701,f3690])). 3.82/0.89 thf(f3701,plain,( 3.82/0.89 (((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3700])). 3.82/0.89 thf(f3700,plain,( 3.82/0.89 ((((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | $false) = $false)), 3.82/0.89 inference(backward_demodulation,[],[f3697,f3695])). 3.82/0.89 thf(f3695,plain,( 3.82/0.89 (((s1 @ n) = (s2 @ n)) = $false)), 3.82/0.89 inference(trivial_inequality_removal,[],[f3694])). 3.82/0.89 thf(f3694,plain,( 3.82/0.89 ($true = $false) | (((s1 @ n) = (s2 @ n)) = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3693])). 3.82/0.89 thf(f3693,plain,( 3.82/0.89 (((s1 @ n) = (s2 @ n)) = $false) | ($true = (~ $true))), 3.82/0.89 inference(boolean_simplification,[],[f3671])). 3.82/0.89 thf(f3671,plain,( 3.82/0.89 (((s1 @ n) = (s2 @ n)) = $false) | ((~ (((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | $true)) = $true)), 3.82/0.89 inference(superposition,[],[f3480,f2296])). 3.82/0.89 thf(f2296,plain,( 3.82/0.89 ( ! [X1 : $o] : (($true = X1) | ($false = X1)) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2142])). 3.82/0.89 thf(f2142,plain,( 3.82/0.89 ( ! [X1 : $o] : (((X1 = $false) = $true) | ($true = X1)) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2095])). 3.82/0.89 thf(f2095,plain,( 3.82/0.89 ( ! [X1 : $o] : (($true = ($true = X1)) | ((X1 = $false) = $true)) )), 3.82/0.89 inference(binary_proxy_clausification,[],[f2094])). 3.82/0.89 thf(f2094,plain,( 3.82/0.89 ( ! [X1 : $o] : (((($true = X1) | (X1 = $false)) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2093])). 3.82/0.89 thf(f2093,plain,( 3.82/0.89 ( ! [X1 : $o] : ((((^[Y0 : $o]: (($true = Y0) | (Y0 = $false))) @ X1) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f1323])). 3.82/0.89 thf(f1323,plain,( 3.82/0.89 ((!! @ $o @ (^[Y0 : $o]: (($true = Y0) | (Y0 = $false)))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f604])). 3.82/0.89 thf(f604,plain,( 3.82/0.89 ((!! @ $o @ (^[Y0 : $o]: (($true = Y0) | (Y0 = $false)))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f603])). 3.82/0.89 thf(f603,plain,( 3.82/0.89 ! [X0 : $o] : ((X0 = $false) | ($true = X0))), 3.82/0.89 inference(rectify,[],[f175])). 3.82/0.89 thf(f175,axiom,( 3.82/0.89 ! [X18 : $o] : ((X18 = $false) | ($true = X18))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Type____Mirabelle____lczmhmumaa__Otyp_T)). 3.82/0.89 thf(f3480,plain,( 3.82/0.89 ((~ (((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ((s1 @ n) = (s2 @ n)))) = $true)), 3.82/0.89 inference(backward_demodulation,[],[f2611,f3479])). 3.82/0.89 thf(f3479,plain,( 3.82/0.89 ( ! [X0 : nat,X1 : nat] : (((member_nat @ X1 @ (type_M49385309le_typ @ (type_M405566558_subst @ X0))) = (X0 = X1))) )), 3.82/0.89 inference(superposition,[],[f2337,f3469])). 3.82/0.89 thf(f3469,plain,( 3.82/0.89 ( ! [X0 : nat] : (((type_M49385309le_typ @ (type_M405566558_subst @ X0)) = (collect_nat @ (= @ X0)))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f3374])). 3.82/0.89 thf(f3374,plain,( 3.82/0.89 ( ! [X0 : nat] : ((((collect_nat @ (= @ X0)) = (type_M49385309le_typ @ (type_M405566558_subst @ X0))) = $true)) )), 3.82/0.89 inference(backward_demodulation,[],[f3303,f3372])). 3.82/0.89 thf(f3372,plain,( 3.82/0.89 ( ! [X1 : nat] : (((collect_nat @ (= @ X1)) = (collect_nat @ (^[Y0 : nat]: ((X1 = Y0) | (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f3355])). 3.82/0.89 thf(f3355,plain,( 3.82/0.89 ( ! [X1 : nat] : ((((collect_nat @ (^[Y0 : nat]: ((X1 = Y0) | (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (collect_nat @ (= @ X1))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f3351])). 3.82/0.89 thf(f3351,plain,( 3.82/0.89 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: ((collect_nat @ (^[Y1 : nat]: ((Y0 = Y1) | (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (collect_nat @ (= @ Y0)))) @ X1))) )), 3.82/0.89 inference(pi_clausification,[],[f1849])). 3.82/0.89 thf(f1849,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((collect_nat @ (^[Y1 : nat]: ((Y0 = Y1) | (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (collect_nat @ (= @ Y0))))))), 3.82/0.89 inference(beta_eta_normalization,[],[f1653])). 3.82/0.89 thf(f1653,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: (((^[Y1 : nat]: ((^[Y2 : set_nat]: (collect_nat @ (^[Y3 : nat]: ((Y1 = Y3) | (member_nat @ Y3 @ Y2))))))) @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst)) = (collect_nat @ (^[Y1 : nat]: (Y0 = Y1)))))))), 3.82/0.89 inference(definition_unfolding,[],[f1345,f1391,f1210])). 3.82/0.89 thf(f1210,plain,( 3.82/0.89 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.82/0.89 inference(cnf_transformation,[],[f765])). 3.82/0.89 thf(f765,plain,( 3.82/0.89 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.82/0.89 inference(fool_elimination,[],[f149])). 3.82/0.89 thf(f149,axiom,( 3.82/0.89 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_cod__id__subst)). 3.82/0.89 thf(f1391,plain,( 3.82/0.89 (insert_nat = (^[Y0 : nat]: ((^[Y1 : set_nat]: (collect_nat @ (^[Y2 : nat]: ((Y0 = Y2) | (member_nat @ Y2 @ Y1))))))))), 3.82/0.89 inference(cnf_transformation,[],[f634])). 3.82/0.89 thf(f634,plain,( 3.82/0.89 (insert_nat = (^[Y0 : nat]: ((^[Y1 : set_nat]: (collect_nat @ (^[Y2 : nat]: ((Y0 = Y2) | (member_nat @ Y2 @ Y1))))))))), 3.82/0.89 inference(fool_elimination,[],[f633])). 3.82/0.89 thf(f633,plain,( 3.82/0.89 ((^[X0 : nat, X1 : set_nat] : (collect_nat @ (^[X2 : nat] : ((member_nat @ X2 @ X1) | (X0 = X2))))) = insert_nat)), 3.82/0.89 inference(rectify,[],[f171])). 3.82/0.89 thf(f171,axiom,( 3.82/0.89 ((^[X44 : nat, X4 : set_nat] : (collect_nat @ (^[X5 : nat] : ((member_nat @ X5 @ X4) | (X5 = X44))))) = insert_nat)), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_insert__compr)). 3.82/0.89 thf(f1345,plain,( 3.82/0.89 ((!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (collect_nat @ (^[Y1 : nat]: (Y0 = Y1)))))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f732])). 3.82/0.89 thf(f732,plain,( 3.82/0.89 ((!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (collect_nat @ (^[Y1 : nat]: (Y0 = Y1)))))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f731])). 3.82/0.89 thf(f731,plain,( 3.82/0.89 ! [X0 : nat] : ((insert_nat @ X0 @ bot_bot_set_nat) = (collect_nat @ (^[X1 : nat] : ((X0 = X1)))))), 3.82/0.89 inference(rectify,[],[f255])). 3.82/0.89 thf(f255,axiom,( 3.82/0.89 ! [X6 : nat] : ((insert_nat @ X6 @ bot_bot_set_nat) = (collect_nat @ (^[X5 : nat] : ((X5 = X6)))))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_singleton__conv)). 3.82/0.89 thf(f3303,plain,( 3.82/0.89 ( ! [X0 : nat] : (($true = ((collect_nat @ (^[Y0 : nat]: ((X0 = Y0) | (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M49385309le_typ @ (type_M405566558_subst @ X0))))) )), 3.82/0.89 inference(forward_demodulation,[],[f3302,f2068])). 3.82/0.89 thf(f2068,plain,( 3.82/0.89 ( ! [X0 : nat] : (((type_M1050318637scheme @ (type_M876316792e_FVar @ X0)) = (type_M49385309le_typ @ (type_M405566558_subst @ X0)))) )), 3.82/0.89 inference(superposition,[],[f2060,f2065])). 3.82/0.89 thf(f2065,plain,( 3.82/0.89 ( ! [X1 : nat] : (((type_M876316792e_FVar @ X1) = (type_M1006385707scheme @ (type_M405566558_subst @ X1)))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2064])). 3.82/0.89 thf(f2064,plain,( 3.82/0.89 ( ! [X1 : nat] : ((((type_M876316792e_FVar @ X1) = (type_M1006385707scheme @ (type_M405566558_subst @ X1))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2063])). 3.82/0.89 thf(f2063,plain,( 3.82/0.89 ( ! [X1 : nat] : ((((^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_M405566558_subst @ Y0)))) @ X1) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f1458])). 3.82/0.89 thf(f1458,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_M405566558_subst @ Y0))))))), 3.82/0.89 inference(definition_unfolding,[],[f1087,f1105])). 3.82/0.89 thf(f1105,plain,( 3.82/0.89 (type_Mirabelle_TVar = type_M405566558_subst)), 3.82/0.89 inference(cnf_transformation,[],[f511])). 3.82/0.89 thf(f511,plain,( 3.82/0.89 (type_Mirabelle_TVar = type_M405566558_subst)), 3.82/0.89 inference(fool_elimination,[],[f311])). 3.82/0.89 thf(f311,axiom,( 3.82/0.89 (type_Mirabelle_TVar = type_M405566558_subst)), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_id__subst__def)). 3.82/0.89 thf(f1087,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ Y0))))))), 3.82/0.89 inference(cnf_transformation,[],[f569])). 3.82/0.89 thf(f569,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ Y0))))))), 3.82/0.89 inference(fool_elimination,[],[f568])). 3.82/0.89 thf(f568,plain,( 3.82/0.89 ! [X0 : nat] : ((type_M876316792e_FVar @ X0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ X0)))), 3.82/0.89 inference(rectify,[],[f319])). 3.82/0.89 thf(f319,axiom,( 3.82/0.89 ! [X21 : nat] : ((type_M876316792e_FVar @ X21) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ X21)))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_mk__scheme_Osimps_I1_J)). 3.82/0.89 thf(f2060,plain,( 3.82/0.89 ( ! [X1 : type_Mirabelle_typ] : (((type_M49385309le_typ @ X1) = (type_M1050318637scheme @ (type_M1006385707scheme @ X1)))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2059])). 3.82/0.89 thf(f2059,plain,( 3.82/0.89 ( ! [X1 : type_Mirabelle_typ] : ((((type_M1050318637scheme @ (type_M1006385707scheme @ X1)) = (type_M49385309le_typ @ X1)) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2058])). 3.82/0.89 thf(f2058,plain,( 3.82/0.89 ( ! [X1 : type_Mirabelle_typ] : ((((^[Y0 : type_Mirabelle_typ]: ((type_M1050318637scheme @ (type_M1006385707scheme @ Y0)) = (type_M49385309le_typ @ Y0))) @ X1) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f1219])). 3.82/0.89 thf(f1219,plain,( 3.82/0.89 ((!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: ((type_M1050318637scheme @ (type_M1006385707scheme @ Y0)) = (type_M49385309le_typ @ Y0)))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f966])). 3.82/0.89 thf(f966,plain,( 3.82/0.89 ((!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: ((type_M1050318637scheme @ (type_M1006385707scheme @ Y0)) = (type_M49385309le_typ @ Y0)))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f965])). 3.82/0.89 thf(f965,plain,( 3.82/0.89 ! [X0 : type_Mirabelle_typ] : ((type_M1050318637scheme @ (type_M1006385707scheme @ X0)) = (type_M49385309le_typ @ X0))), 3.82/0.89 inference(rectify,[],[f55])). 3.82/0.89 thf(f55,axiom,( 3.82/0.89 ! [X34 : type_Mirabelle_typ] : ((type_M49385309le_typ @ X34) = (type_M1050318637scheme @ (type_M1006385707scheme @ X34)))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_free__tv__mk__scheme)). 3.82/0.89 thf(f3302,plain,( 3.82/0.89 ( ! [X0 : nat] : (($true = ((collect_nat @ (^[Y0 : nat]: ((X0 = Y0) | (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))))) )), 3.82/0.89 inference(boolean_simplification,[],[f3301])). 3.82/0.89 thf(f3301,plain,( 3.82/0.89 ( ! [X0 : nat] : ((($true => ((collect_nat @ (^[Y0 : nat]: ((X0 = Y0) | (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0)))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f3299])). 3.82/0.89 thf(f3299,plain,( 3.82/0.89 ( ! [X0 : nat] : ((($true => ((^[Y0 : nat]: ((collect_nat @ (^[Y1 : nat]: ((Y0 = Y1) | (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0)))) @ X0)) = $true)) )), 3.82/0.89 inference(superposition,[],[f2868,f1920])). 3.82/0.89 thf(f1920,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((collect_nat @ (^[Y1 : nat]: ((Y0 = Y1) | (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.82/0.89 inference(beta_eta_normalization,[],[f1652])). 3.82/0.89 thf(f1652,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: (((^[Y1 : nat]: ((^[Y2 : set_nat]: (collect_nat @ (^[Y3 : nat]: ((Y1 = Y3) | (member_nat @ Y3 @ Y2))))))) @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst)) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.82/0.89 inference(definition_unfolding,[],[f1344,f1391,f1210])). 3.82/0.89 thf(f1344,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.82/0.89 inference(cnf_transformation,[],[f767])). 3.82/0.89 thf(f767,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.82/0.89 inference(fool_elimination,[],[f766])). 3.82/0.89 thf(f766,plain,( 3.82/0.89 ! [X0 : nat] : ((insert_nat @ X0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0)))), 3.82/0.89 inference(rectify,[],[f8])). 3.82/0.89 thf(f8,axiom,( 3.82/0.89 ! [X16 : nat] : ((type_M1050318637scheme @ (type_M876316792e_FVar @ X16)) = (insert_nat @ X16 @ bot_bot_set_nat))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_free__tv__type__scheme_Osimps_I1_J)). 3.82/0.89 thf(f2868,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : ((((!! @ nat @ X0) => (X0 @ X1)) = $true)) )), 3.82/0.89 inference(forward_demodulation,[],[f2866,f2236])). 3.82/0.89 thf(f2236,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : (((sup_sup_nat_o @ X1 @ (^[Y0 : nat]: (bot_bot_o))) = X1)) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2232])). 3.82/0.89 thf(f2232,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : ((((sup_sup_nat_o @ X1 @ (^[Y0 : nat]: (bot_bot_o))) = X1) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2231])). 3.82/0.89 thf(f2231,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : ((((^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ (^[Y1 : nat]: (bot_bot_o))) = Y0)) @ X1) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f1450])). 3.82/0.89 thf(f1450,plain,( 3.82/0.89 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ (^[Y1 : nat]: (bot_bot_o))) = Y0))))), 3.82/0.89 inference(definition_unfolding,[],[f1077,f1106])). 3.82/0.89 thf(f1106,plain,( 3.82/0.89 (bot_bot_nat_o = (^[Y0 : nat]: (bot_bot_o)))), 3.82/0.89 inference(cnf_transformation,[],[f583])). 3.82/0.89 thf(f583,plain,( 3.82/0.89 (bot_bot_nat_o = (^[Y0 : nat]: (bot_bot_o)))), 3.82/0.89 inference(fool_elimination,[],[f582])). 3.82/0.89 thf(f582,plain,( 3.82/0.89 ((^[X0 : nat] : (bot_bot_o)) = bot_bot_nat_o)), 3.82/0.89 inference(rectify,[],[f33])). 3.82/0.89 thf(f33,axiom,( 3.82/0.89 ((^[X5 : nat] : (bot_bot_o)) = bot_bot_nat_o)), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_bot__apply)). 3.82/0.89 thf(f1077,plain,( 3.82/0.89 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ bot_bot_nat_o) = Y0))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f705])). 3.82/0.89 thf(f705,plain,( 3.82/0.89 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ bot_bot_nat_o) = Y0))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f704])). 3.82/0.89 thf(f704,plain,( 3.82/0.89 ! [X0 : nat > $o] : ((sup_sup_nat_o @ X0 @ bot_bot_nat_o) = X0)), 3.82/0.89 inference(rectify,[],[f297])). 3.82/0.89 thf(f297,axiom,( 3.82/0.89 ! [X1 : nat > $o] : ((sup_sup_nat_o @ X1 @ bot_bot_nat_o) = X1)), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_sup__bot__right)). 3.82/0.89 thf(f2866,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : (($true = ((!! @ nat @ (sup_sup_nat_o @ X0 @ (^[Y0 : nat]: (bot_bot_o)))) => (X0 @ X1)))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2865])). 3.82/0.89 thf(f2865,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: (sup_sup_nat_o @ X0 @ (^[Y1 : nat]: (bot_bot_o)) @ Y0))) => (X0 @ X1)) = $true)) )), 3.82/0.89 inference(boolean_simplification,[],[f2864])). 3.82/0.89 thf(f2864,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: (~ (~ (sup_sup_nat_o @ X0 @ (^[Y1 : nat]: (bot_bot_o)) @ Y0))))) => (X0 @ X1)))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2838])). 3.82/0.89 thf(f2838,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: (~ ((^[Y1 : nat]: (~ (sup_sup_nat_o @ X0 @ (^[Y2 : nat]: (bot_bot_o)) @ Y1))) @ Y0)))) => (X0 @ X1)))) )), 3.82/0.89 inference(backward_demodulation,[],[f2572,f2809])). 3.82/0.89 thf(f2809,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0)))) = ((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ X1)))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2798])). 3.82/0.89 thf(f2798,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ X1)) = (!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))))) )), 3.82/0.89 inference(forward_demodulation,[],[f2797,f1669])). 3.82/0.89 thf(f1669,plain,( 3.82/0.89 ((type_M141510067scheme @ nil_Ty61485117scheme) = (type_Mirabelle_cod @ type_M405566558_subst))), 3.82/0.89 inference(definition_unfolding,[],[f1367,f1210])). 3.82/0.89 thf(f1367,plain,( 3.82/0.89 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.82/0.89 inference(cnf_transformation,[],[f772])). 3.82/0.89 thf(f772,plain,( 3.82/0.89 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.82/0.89 inference(fool_elimination,[],[f147])). 3.82/0.89 thf(f147,axiom,( 3.82/0.89 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_free__tv__list_Osimps_I1_J)). 3.82/0.89 thf(f2797,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : (($true = (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ X1)) = (!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2796])). 3.82/0.89 thf(f2796,plain,( 3.82/0.89 ( ! [X1 : nat > $o] : (($true = ((^[Y0 : nat > $o]: (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1)))))) @ X1))) )), 3.82/0.89 inference(pi_clausification,[],[f1630])). 3.82/0.89 thf(f1630,plain,( 3.82/0.89 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))) = $true)), 3.82/0.89 inference(definition_unfolding,[],[f1314,f1210])). 3.82/0.89 thf(f1314,plain,( 3.82/0.89 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((bot_bot_set_nat = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f934])). 3.82/0.89 thf(f934,plain,( 3.82/0.89 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((bot_bot_set_nat = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f933])). 3.82/0.89 thf(f933,plain,( 3.82/0.89 ! [X0 : nat > $o] : ((bot_bot_set_nat = (collect_nat @ X0)) = ! [X1 : nat] : ~(X0 @ X1))), 3.82/0.89 inference(rectify,[],[f244])). 3.82/0.89 thf(f244,axiom,( 3.82/0.89 ! [X18 : nat > $o] : ((bot_bot_set_nat = (collect_nat @ X18)) = ! [X5 : nat] : ~(X18 @ X5))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_Collect__empty__eq)). 3.82/0.89 thf(f2572,plain,( 3.82/0.89 ( ! [X0 : nat > $o,X1 : nat] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ (^[Y0 : nat]: (~ (sup_sup_nat_o @ X0 @ (^[Y1 : nat]: (bot_bot_o)) @ Y0))))) => (X0 @ X1)))) )), 3.82/0.89 inference(superposition,[],[f2438,f2239])). 3.82/0.89 thf(f2239,plain,( 3.82/0.89 ( ! [X2 : nat,X1 : nat > $o] : (((sup_sup_nat_o @ X1 @ (^[Y0 : nat]: (bot_bot_o)) @ X2) = (X1 @ X2))) )), 3.82/0.89 inference(argument_congruence,[],[f2236])). 3.82/0.89 thf(f2438,plain,( 3.82/0.89 ( ! [X0 : nat,X1 : nat > $o] : (((((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))) => (X1 @ X0)) = $true)) )), 3.82/0.89 inference(boolean_simplification,[],[f2437])). 3.82/0.89 thf(f2437,plain,( 3.82/0.89 ( ! [X0 : nat,X1 : nat > $o] : (((((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))) => (~ (~ (X1 @ X0)))) = $true)) )), 3.82/0.89 inference(superposition,[],[f2245,f2388])). 3.82/0.89 thf(f2388,plain,( 3.82/0.89 ( ! [X1 : nat,X5 : nat > $o] : (((~ (X5 @ X1)) = (member_nat @ X1 @ (collect_nat @ (^[Y0 : nat]: (~ (X5 @ Y0))))))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2382])). 3.82/0.89 thf(f2382,plain,( 3.82/0.89 ( ! [X1 : nat,X5 : nat > $o] : ((((^[Y0 : nat]: (~ (X5 @ Y0))) @ X1) = (member_nat @ X1 @ (collect_nat @ (^[Y0 : nat]: (~ (X5 @ Y0))))))) )), 3.82/0.89 inference(primitive_instantiation,[],[f2337])). 3.82/0.89 thf(f2245,plain,( 3.82/0.89 ( ! [X2 : set_nat,X1 : nat] : (((((type_M141510067scheme @ nil_Ty61485117scheme) = X2) => (~ (member_nat @ X1 @ X2))) = $true)) )), 3.82/0.89 inference(forward_demodulation,[],[f2244,f1669])). 3.82/0.89 thf(f2244,plain,( 3.82/0.89 ( ! [X2 : set_nat,X1 : nat] : (((((type_Mirabelle_cod @ type_M405566558_subst) = X2) => (~ (member_nat @ X1 @ X2))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2243])). 3.82/0.89 thf(f2243,plain,( 3.82/0.89 ( ! [X2 : set_nat,X1 : nat] : (($true = ((^[Y0 : set_nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y0) => (~ (member_nat @ X1 @ Y0)))) @ X2))) )), 3.82/0.89 inference(pi_clausification,[],[f2241])). 3.82/0.89 thf(f2241,plain,( 3.82/0.89 ( ! [X1 : nat] : (($true = (!! @ set_nat @ (^[Y0 : set_nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y0) => (~ (member_nat @ X1 @ Y0))))))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2240])). 3.82/0.89 thf(f2240,plain,( 3.82/0.89 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (!! @ set_nat @ (^[Y1 : set_nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y1) => (~ (member_nat @ Y0 @ Y1)))))) @ X1))) )), 3.82/0.89 inference(pi_clausification,[],[f1610])). 3.82/0.89 thf(f1610,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ set_nat @ (^[Y1 : set_nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y1) => (~ (member_nat @ Y0 @ Y1))))))))), 3.82/0.89 inference(definition_unfolding,[],[f1287,f1210])). 3.82/0.89 thf(f1287,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ set_nat @ (^[Y1 : set_nat]: ((bot_bot_set_nat = Y1) => (~ (member_nat @ Y0 @ Y1))))))))), 3.82/0.89 inference(cnf_transformation,[],[f710])). 3.82/0.89 thf(f710,plain,( 3.82/0.89 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ set_nat @ (^[Y1 : set_nat]: ((bot_bot_set_nat = Y1) => (~ (member_nat @ Y0 @ Y1))))))))), 3.82/0.89 inference(fool_elimination,[],[f709])). 3.82/0.89 thf(f709,plain,( 3.82/0.89 ! [X0 : set_nat,X1 : nat] : ((bot_bot_set_nat = X0) => ~(member_nat @ X1 @ X0))), 3.82/0.89 inference(rectify,[],[f124])). 3.82/0.89 thf(f124,axiom,( 3.82/0.89 ! [X10 : set_nat,X6 : nat] : ((bot_bot_set_nat = X10) => ~(member_nat @ X6 @ X10))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_equals0D)). 3.82/0.89 thf(f2337,plain,( 3.82/0.89 ( ! [X2 : nat > $o,X1 : nat] : (((member_nat @ X1 @ (collect_nat @ X2)) = (X2 @ X1))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2336])). 3.82/0.89 thf(f2336,plain,( 3.82/0.89 ( ! [X2 : nat > $o,X1 : nat] : ((((X2 @ X1) = (member_nat @ X1 @ (collect_nat @ X2))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2335])). 3.82/0.89 thf(f2335,plain,( 3.82/0.89 ( ! [X2 : nat > $o,X1 : nat] : ((((^[Y0 : nat > $o]: ((Y0 @ X1) = (member_nat @ X1 @ (collect_nat @ Y0)))) @ X2) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f2325])). 3.82/0.89 thf(f2325,plain,( 3.82/0.89 ( ! [X1 : nat] : (((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((Y0 @ X1) = (member_nat @ X1 @ (collect_nat @ Y0))))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2324])). 3.82/0.89 thf(f2324,plain,( 3.82/0.89 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((Y1 @ Y0) = (member_nat @ Y0 @ (collect_nat @ Y1)))))) @ X1))) )), 3.82/0.89 inference(pi_clausification,[],[f1394])). 3.82/0.89 thf(f1394,plain,( 3.82/0.89 ((!! @ nat @ (^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((Y1 @ Y0) = (member_nat @ Y0 @ (collect_nat @ Y1))))))) = $true)), 3.82/0.89 inference(cnf_transformation,[],[f878])). 3.82/0.89 thf(f878,plain,( 3.82/0.89 ((!! @ nat @ (^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((Y1 @ Y0) = (member_nat @ Y0 @ (collect_nat @ Y1))))))) = $true)), 3.82/0.89 inference(fool_elimination,[],[f877])). 3.82/0.89 thf(f877,plain,( 3.82/0.89 ! [X0 : nat > $o,X1 : nat] : ((X0 @ X1) = (member_nat @ X1 @ (collect_nat @ X0)))), 3.82/0.89 inference(rectify,[],[f304])). 3.82/0.89 thf(f304,axiom,( 3.82/0.89 ! [X18 : nat > $o,X6 : nat] : ((X18 @ X6) = (member_nat @ X6 @ (collect_nat @ X18)))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_mem__Collect__eq)). 3.82/0.89 thf(f2611,plain,( 3.82/0.89 ($true = (~ (((~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x)))) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.82/0.89 inference(forward_demodulation,[],[f2608,f2606])). 3.82/0.89 thf(f2606,plain,( 3.82/0.89 ( ! [X2 : nat,X1 : nat > type_Mirabelle_typ] : (((type_M1006385707scheme @ (X1 @ X2)) = (type_M1690910139scheme @ X1 @ (type_M876316792e_FVar @ X2)))) )), 3.82/0.89 inference(equality_proxy_clausification,[],[f2605])). 3.82/0.89 thf(f2605,plain,( 3.82/0.89 ( ! [X2 : nat,X1 : nat > type_Mirabelle_typ] : ((((type_M1006385707scheme @ (X1 @ X2)) = (type_M1690910139scheme @ X1 @ (type_M876316792e_FVar @ X2))) = $true)) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2604])). 3.82/0.89 thf(f2604,plain,( 3.82/0.89 ( ! [X2 : nat,X1 : nat > type_Mirabelle_typ] : (($true = ((^[Y0 : nat]: ((type_M1006385707scheme @ (X1 @ Y0)) = (type_M1690910139scheme @ X1 @ (type_M876316792e_FVar @ Y0)))) @ X2))) )), 3.82/0.89 inference(pi_clausification,[],[f2602])). 3.82/0.89 thf(f2602,plain,( 3.82/0.89 ( ! [X1 : nat > type_Mirabelle_typ] : (($true = (!! @ nat @ (^[Y0 : nat]: ((type_M1006385707scheme @ (X1 @ Y0)) = (type_M1690910139scheme @ X1 @ (type_M876316792e_FVar @ Y0))))))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2601])). 3.82/0.89 thf(f2601,plain,( 3.82/0.89 ( ! [X1 : nat > type_Mirabelle_typ] : (($true = ((^[Y0 : nat > type_Mirabelle_typ]: (!! @ nat @ (^[Y1 : nat]: ((type_M1006385707scheme @ (Y0 @ Y1)) = (type_M1690910139scheme @ Y0 @ (type_M876316792e_FVar @ Y1)))))) @ X1))) )), 3.82/0.89 inference(pi_clausification,[],[f1419])). 3.82/0.89 thf(f1419,plain,( 3.82/0.89 ($true = (!! @ (nat > type_Mirabelle_typ) @ (^[Y0 : nat > type_Mirabelle_typ]: (!! @ nat @ (^[Y1 : nat]: ((type_M1006385707scheme @ (Y0 @ Y1)) = (type_M1690910139scheme @ Y0 @ (type_M876316792e_FVar @ Y1))))))))), 3.82/0.89 inference(cnf_transformation,[],[f1050])). 3.82/0.89 thf(f1050,plain,( 3.82/0.89 ($true = (!! @ (nat > type_Mirabelle_typ) @ (^[Y0 : nat > type_Mirabelle_typ]: (!! @ nat @ (^[Y1 : nat]: ((type_M1006385707scheme @ (Y0 @ Y1)) = (type_M1690910139scheme @ Y0 @ (type_M876316792e_FVar @ Y1))))))))), 3.82/0.89 inference(fool_elimination,[],[f1049])). 3.82/0.89 thf(f1049,plain,( 3.82/0.89 ! [X0 : nat,X1 : nat > type_Mirabelle_typ] : ((type_M1006385707scheme @ (X1 @ X0)) = (type_M1690910139scheme @ X1 @ (type_M876316792e_FVar @ X0)))), 3.82/0.89 inference(rectify,[],[f54])). 3.82/0.89 thf(f54,axiom,( 3.82/0.89 ! [X21 : nat,X0 : nat > type_Mirabelle_typ] : ((type_M1690910139scheme @ X0 @ (type_M876316792e_FVar @ X21)) = (type_M1006385707scheme @ (X0 @ X21)))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_app__subst__type__scheme_Osimps_I1_J)). 3.82/0.89 thf(f2608,plain,( 3.82/0.89 ((~ (((~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x)))) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))) = $true)), 3.82/0.89 inference(backward_demodulation,[],[f2069,f2606])). 3.82/0.89 thf(f2069,plain,( 3.82/0.89 ((~ (((~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x)))) | (~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))) = $true)), 3.82/0.89 inference(backward_demodulation,[],[f1380,f2068])). 3.82/0.89 thf(f1380,plain,( 3.82/0.89 ($true = (~ (((~ (member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x)))) | (~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.82/0.89 inference(cnf_transformation,[],[f769])). 3.82/0.89 thf(f769,plain,( 3.82/0.89 ($true = (~ (((~ (member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x)))) | (~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.82/0.89 inference(fool_elimination,[],[f768])). 3.82/0.89 thf(f768,plain,( 3.82/0.89 ~(((s1 @ n) = (s2 @ n)) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))))), 3.82/0.89 inference(rectify,[],[f246])). 3.82/0.89 thf(f246,negated_conjecture,( 3.82/0.89 ~(((s1 @ n) = (s2 @ n)) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))))), 3.82/0.89 inference(negated_conjecture,[],[f245])). 3.82/0.89 thf(f245,conjecture,( 3.82/0.89 ((s1 @ n) = (s2 @ n)) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x)))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 3.82/0.89 thf(f3697,plain,( 3.82/0.89 ((((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ((s1 @ n) = (s2 @ n))) = $false)), 3.82/0.89 inference(trivial_inequality_removal,[],[f3696])). 3.82/0.89 thf(f3696,plain,( 3.82/0.89 ((((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ((s1 @ n) = (s2 @ n))) = $false) | ($true = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3677])). 3.82/0.89 thf(f3677,plain,( 3.82/0.89 ((((~ (x = n)) | (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ((s1 @ n) = (s2 @ n))) = $false) | ($true = (~ $true))), 3.82/0.89 inference(superposition,[],[f3480,f2296])). 3.82/0.89 thf(f3690,plain,( 3.82/0.89 ($false = (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))))), 3.82/0.89 inference(trivial_inequality_removal,[],[f3689])). 3.82/0.89 thf(f3689,plain,( 3.82/0.89 ($false = (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))) | ($true = $false)), 3.82/0.89 inference(boolean_simplification,[],[f3688])). 3.82/0.89 thf(f3688,plain,( 3.82/0.89 ($true = (~ $true)) | ($false = (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))))), 3.82/0.89 inference(boolean_simplification,[],[f3687])). 3.82/0.89 thf(f3687,plain,( 3.82/0.89 ($true = (~ ($true | ((s1 @ n) = (s2 @ n))))) | ($false = (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))))), 3.82/0.89 inference(boolean_simplification,[],[f3673])). 3.82/0.89 thf(f3673,plain,( 3.82/0.89 ($true = (~ (((~ (x = n)) | $true) | ((s1 @ n) = (s2 @ n))))) | ($false = (~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))))), 3.82/0.89 inference(superposition,[],[f3480,f2296])). 3.82/0.89 thf(f3751,plain,( 3.82/0.89 ((~ ((type_M1006385707scheme @ (s2 @ n)) = (type_M1006385707scheme @ (s1 @ n)))) = $true)), 3.82/0.89 inference(boolean_simplification,[],[f3750])). 3.82/0.89 thf(f3750,plain,( 3.82/0.89 ($true = (((type_M1006385707scheme @ (s2 @ n)) = (type_M1006385707scheme @ (s1 @ n))) => $false))), 3.82/0.89 inference(superposition,[],[f2224,f3695])). 3.82/0.89 thf(f2224,plain,( 3.82/0.89 ( ! [X2 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : (($true = (((type_M1006385707scheme @ X1) = (type_M1006385707scheme @ X2)) => (X2 = X1)))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2223])). 3.82/0.89 thf(f2223,plain,( 3.82/0.89 ( ! [X2 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((((^[Y0 : type_Mirabelle_typ]: (((type_M1006385707scheme @ X1) = (type_M1006385707scheme @ Y0)) => (Y0 = X1))) @ X2) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f2222])). 3.82/0.89 thf(f2222,plain,( 3.82/0.89 ( ! [X1 : type_Mirabelle_typ] : (($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (((type_M1006385707scheme @ X1) = (type_M1006385707scheme @ Y0)) => (Y0 = X1)))))) )), 3.82/0.89 inference(beta_eta_normalization,[],[f2221])). 3.82/0.89 thf(f2221,plain,( 3.82/0.89 ( ! [X1 : type_Mirabelle_typ] : ((((^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y0) = (type_M1006385707scheme @ Y1)) => (Y1 = Y0))))) @ X1) = $true)) )), 3.82/0.89 inference(pi_clausification,[],[f1351])). 3.82/0.89 thf(f1351,plain,( 3.82/0.89 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y0) = (type_M1006385707scheme @ Y1)) => (Y1 = Y0)))))))), 3.82/0.89 inference(cnf_transformation,[],[f628])). 3.82/0.89 thf(f628,plain,( 3.82/0.89 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y0) = (type_M1006385707scheme @ Y1)) => (Y1 = Y0)))))))), 3.82/0.89 inference(fool_elimination,[],[f627])). 3.82/0.89 thf(f627,plain,( 3.82/0.89 ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : (((type_M1006385707scheme @ X1) = (type_M1006385707scheme @ X0)) => (X0 = X1))), 3.82/0.89 inference(rectify,[],[f202])). 3.82/0.89 thf(f202,axiom,( 3.82/0.89 ! [X34 : type_Mirabelle_typ,X70 : type_Mirabelle_typ] : (((type_M1006385707scheme @ X34) = (type_M1006385707scheme @ X70)) => (X34 = X70))), 3.82/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_mk__scheme__injective)). 3.82/0.89 % SZS output end Proof for theBenchmark 3.82/0.89 % (17823)------------------------------ 3.82/0.89 % (17823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.82/0.89 % (17823)Termination reason: Refutation 3.82/0.89 3.82/0.89 % (17823)Memory used [KB]: 9978 3.82/0.89 % (17823)Time elapsed: 0.390 s 3.82/0.89 % (17823)Instructions burned: 734 (million) 3.82/0.89 % (17823)------------------------------ 3.82/0.89 % (17823)------------------------------ 3.82/0.89 % (17803)Success in time 0.524 s 3.82/0.89 % Vampire---4.8 exiting 3.82/0.89 EOF