0.12/0.17 % Problem : Vampire---4.8_9674 : TPTP v0.0.0. Released v0.0.0. 0.17/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.19/0.40 % Computer : n025.cluster.edu 0.19/0.40 % Model : x86_64 x86_64 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.40 % Memory : 8042.1875MB 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.19/0.40 % CPULimit : 1440 0.19/0.40 % WCLimit : 180 0.19/0.40 % DateTime : Mon Jul 3 13:14:08 EDT 2023 0.19/0.40 % CPUTime : 0.19/0.40 This is a THF_ problem 0.19/0.40 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674 -m 12000 -t 180 0.26/0.44 % (9789)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.26/0.44 % (9784)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.26/0.44 % (9782)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.26/0.44 % (9785)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.26/0.44 % (9783)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.26/0.44 % (9786)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.26/0.44 % (9787)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.26/0.44 % (9788)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.26/0.45 % (9788)Instruction limit reached! 0.26/0.45 % (9788)------------------------------ 0.26/0.45 % (9788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.45 % (9788)Termination reason: Unknown 0.26/0.45 % (9788)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (9788)Memory used [KB]: 1535 0.26/0.45 % (9788)Time elapsed: 0.005 s 0.26/0.45 % (9788)Instructions burned: 4 (million) 0.26/0.45 % (9788)------------------------------ 0.26/0.45 % (9788)------------------------------ 0.26/0.45 % (9786)Instruction limit reached! 0.26/0.45 % (9786)------------------------------ 0.26/0.45 % (9786)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.45 % (9786)Termination reason: Unknown 0.26/0.45 % (9786)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (9786)Memory used [KB]: 1918 0.26/0.45 % (9786)Time elapsed: 0.013 s 0.26/0.45 % (9786)Instructions burned: 18 (million) 0.26/0.45 % (9786)------------------------------ 0.26/0.45 % (9786)------------------------------ 0.26/0.46 % (9790)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.26/0.46 % (9784)Instruction limit reached! 0.26/0.46 % (9784)------------------------------ 0.26/0.46 % (9784)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.46 % (9784)Termination reason: Unknown 0.26/0.46 % (9784)Termination phase: Property scanning 0.26/0.46 0.26/0.46 % (9784)Memory used [KB]: 2046 0.26/0.46 % (9784)Time elapsed: 0.022 s 0.26/0.46 % (9784)Instructions burned: 35 (million) 0.26/0.46 % (9784)------------------------------ 0.26/0.46 % (9784)------------------------------ 0.26/0.46 % (9783)Instruction limit reached! 0.26/0.46 % (9783)------------------------------ 0.26/0.46 % (9783)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.46 % (9783)Termination reason: Unknown 0.26/0.46 % (9783)Termination phase: Property scanning 0.26/0.46 0.26/0.46 % (9783)Memory used [KB]: 2046 0.26/0.46 % (9783)Time elapsed: 0.024 s 0.26/0.46 % (9783)Instructions burned: 37 (million) 0.26/0.46 % (9783)------------------------------ 0.26/0.46 % (9783)------------------------------ 0.26/0.47 % (9791)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.26/0.47 % (9791)Instruction limit reached! 0.26/0.47 % (9791)------------------------------ 0.26/0.47 % (9791)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.47 % (9791)Termination reason: Unknown 0.26/0.47 % (9791)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (9791)Memory used [KB]: 1663 0.26/0.47 % (9791)Time elapsed: 0.007 s 0.26/0.47 % (9791)Instructions burned: 8 (million) 0.26/0.47 % (9791)------------------------------ 0.26/0.47 % (9791)------------------------------ 0.26/0.47 % (9790)Instruction limit reached! 0.26/0.47 % (9790)------------------------------ 0.26/0.47 % (9790)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.47 % (9790)Termination reason: Unknown 0.26/0.47 % (9790)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (9790)Memory used [KB]: 1918 0.26/0.47 % (9790)Time elapsed: 0.015 s 0.26/0.47 % (9790)Instructions burned: 21 (million) 0.26/0.47 % (9790)------------------------------ 0.26/0.47 % (9790)------------------------------ 0.26/0.48 % (9792)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.26/0.48 % (9787)Instruction limit reached! 0.26/0.48 % (9787)------------------------------ 0.26/0.48 % (9787)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.48 % (9787)Termination reason: Unknown 0.26/0.48 % (9787)Termination phase: Property scanning 0.26/0.48 0.26/0.48 % (9787)Memory used [KB]: 2558 0.26/0.48 % (9787)Time elapsed: 0.038 s 0.26/0.48 % (9787)Instructions burned: 74 (million) 0.26/0.48 % (9787)------------------------------ 0.26/0.48 % (9787)------------------------------ 0.26/0.48 % (9793)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.26/0.49 % (9794)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.26/0.49 % (9795)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.26/0.49 % (9782)Instruction limit reached! 0.26/0.49 % (9782)------------------------------ 0.26/0.49 % (9782)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.49 % (9782)Termination reason: Unknown 0.26/0.49 % (9782)Termination phase: Property scanning 0.26/0.49 0.26/0.49 % (9782)Memory used [KB]: 2686 0.26/0.49 % (9782)Time elapsed: 0.052 s 0.26/0.49 % (9782)Instructions burned: 97 (million) 0.26/0.49 % (9782)------------------------------ 0.26/0.49 % (9782)------------------------------ 0.26/0.49 % (9796)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.26/0.49 % (9794)Instruction limit reached! 0.26/0.49 % (9794)------------------------------ 0.26/0.49 % (9794)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.49 % (9794)Termination reason: Unknown 0.26/0.49 % (9794)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (9794)Memory used [KB]: 1663 0.26/0.49 % (9794)Time elapsed: 0.008 s 0.26/0.49 % (9794)Instructions burned: 10 (million) 0.26/0.49 % (9794)------------------------------ 0.26/0.49 % (9794)------------------------------ 0.26/0.51 % (9797)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.26/0.51 % (9798)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.26/0.52 % (9798)Instruction limit reached! 0.26/0.52 % (9798)------------------------------ 0.26/0.52 % (9798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.52 % (9798)Termination reason: Unknown 0.26/0.52 % (9798)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (9798)Memory used [KB]: 1918 0.26/0.52 % (9798)Time elapsed: 0.012 s 0.26/0.52 % (9798)Instructions burned: 15 (million) 0.26/0.52 % (9798)------------------------------ 0.26/0.52 % (9798)------------------------------ 0.26/0.53 % (9793)Instruction limit reached! 0.26/0.53 % (9793)------------------------------ 0.26/0.53 % (9793)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.53 % (9793)Termination reason: Unknown 0.26/0.53 % (9793)Termination phase: Property scanning 0.26/0.53 0.26/0.53 % (9793)Memory used [KB]: 2558 0.26/0.53 % (9793)Time elapsed: 0.049 s 0.26/0.53 % (9793)Instructions burned: 71 (million) 0.26/0.53 % (9793)------------------------------ 0.26/0.53 % (9793)------------------------------ 0.26/0.53 % (9799)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi) 0.26/0.53 % (9799)Instruction limit reached! 0.26/0.53 % (9799)------------------------------ 0.26/0.53 % (9799)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.53 % (9799)Termination reason: Unknown 0.26/0.53 % (9799)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (9799)Memory used [KB]: 1535 0.26/0.53 % (9799)Time elapsed: 0.003 s 0.26/0.53 % (9799)Instructions burned: 2 (million) 0.26/0.53 % (9799)------------------------------ 0.26/0.53 % (9799)------------------------------ 0.26/0.55 % (9800)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1798ds/1041Mi) 0.26/0.55 % (9801)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.26/0.55 % (9801)Instruction limit reached! 0.26/0.55 % (9801)------------------------------ 0.26/0.55 % (9801)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.55 % (9801)Termination reason: Unknown 0.26/0.55 % (9801)Termination phase: shuffling 0.26/0.55 0.26/0.55 % (9801)Memory used [KB]: 1791 0.26/0.55 % (9801)Time elapsed: 0.005 s 0.26/0.55 % (9801)Instructions burned: 12 (million) 0.26/0.55 % (9801)------------------------------ 0.26/0.55 % (9801)------------------------------ 0.26/0.56 % (9797)Instruction limit reached! 0.26/0.56 % (9797)------------------------------ 0.26/0.56 % (9797)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.26/0.56 % (9797)Termination reason: Unknown 0.26/0.56 % (9797)Termination phase: Property scanning 0.26/0.56 0.26/0.56 % (9797)Memory used [KB]: 2686 0.26/0.56 % (9797)Time elapsed: 0.038 s 0.26/0.56 % (9797)Instructions burned: 65 (million) 0.26/0.56 % (9797)------------------------------ 0.26/0.56 % (9797)------------------------------ 0.26/0.56 % (9802)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 1.21/0.56 % (9796)Instruction limit reached! 1.21/0.56 % (9796)------------------------------ 1.21/0.56 % (9796)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.21/0.56 % (9796)Termination reason: Unknown 1.21/0.56 % (9796)Termination phase: Property scanning 1.21/0.56 1.21/0.56 % (9796)Memory used [KB]: 2686 1.21/0.56 % (9796)Time elapsed: 0.072 s 1.21/0.56 % (9796)Instructions burned: 131 (million) 1.21/0.56 % (9796)------------------------------ 1.21/0.56 % (9796)------------------------------ 1.21/0.57 % (9803)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 1.21/0.58 % (9804)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 1.34/0.58 % (9803)Instruction limit reached! 1.34/0.58 % (9803)------------------------------ 1.34/0.58 % (9803)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.58 % (9803)Termination reason: Unknown 1.34/0.58 % (9803)Termination phase: shuffling 1.34/0.58 1.34/0.58 % (9803)Memory used [KB]: 2046 1.34/0.58 % (9803)Time elapsed: 0.009 s 1.34/0.58 % (9803)Instructions burned: 26 (million) 1.34/0.58 % (9803)------------------------------ 1.34/0.58 % (9803)------------------------------ 1.34/0.59 % (9805)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 1.34/0.60 % (9804)Instruction limit reached! 1.34/0.60 % (9804)------------------------------ 1.34/0.60 % (9804)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.60 % (9804)Termination reason: Unknown 1.34/0.60 % (9804)Termination phase: Clausification 1.34/0.60 1.34/0.60 % (9804)Memory used [KB]: 2686 1.34/0.60 % (9804)Time elapsed: 0.024 s 1.34/0.60 % (9804)Instructions burned: 58 (million) 1.34/0.60 % (9804)------------------------------ 1.34/0.60 % (9804)------------------------------ 1.34/0.61 % (9802)Instruction limit reached! 1.34/0.61 % (9802)------------------------------ 1.34/0.61 % (9802)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.61 % (9802)Termination reason: Unknown 1.34/0.61 % (9802)Termination phase: Saturation 1.34/0.61 1.34/0.61 % (9802)Memory used [KB]: 7291 1.34/0.61 % (9802)Time elapsed: 0.051 s 1.34/0.61 % (9802)Instructions burned: 141 (million) 1.34/0.61 % (9802)------------------------------ 1.34/0.61 % (9802)------------------------------ 1.34/0.61 % (9806)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 1.34/0.61 % (9806)Instruction limit reached! 1.34/0.61 % (9806)------------------------------ 1.34/0.61 % (9806)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.61 % (9806)Termination reason: Unknown 1.34/0.61 % (9806)Termination phase: shuffling 1.34/0.61 1.34/0.61 % (9806)Memory used [KB]: 1535 1.34/0.61 % (9806)Time elapsed: 0.003 s 1.34/0.61 % (9806)Instructions burned: 3 (million) 1.34/0.61 % (9806)------------------------------ 1.34/0.61 % (9806)------------------------------ 1.34/0.62 % (9807)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 Vampire---4 for (1798ds/19Mi) 1.34/0.62 % (9808)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 Vampire---4 for (1798ds/44Mi) 1.34/0.62 % (9807)Instruction limit reached! 1.34/0.62 % (9807)------------------------------ 1.34/0.62 % (9807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.62 % (9807)Termination reason: Unknown 1.34/0.62 % (9807)Termination phase: shuffling 1.34/0.62 1.34/0.62 % (9807)Memory used [KB]: 1918 1.34/0.62 % (9807)Time elapsed: 0.007 s 1.34/0.62 % (9807)Instructions burned: 20 (million) 1.34/0.62 % (9807)------------------------------ 1.34/0.62 % (9807)------------------------------ 1.34/0.63 % (9785)Instruction limit reached! 1.34/0.63 % (9785)------------------------------ 1.34/0.63 % (9785)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.34/0.63 % (9785)Termination reason: Unknown 1.34/0.63 % (9785)Termination phase: Saturation 1.34/0.63 1.34/0.63 % (9785)Memory used [KB]: 7419 1.34/0.63 % (9785)Time elapsed: 0.187 s 1.34/0.63 % (9785)Instructions burned: 385 (million) 1.34/0.63 % (9785)------------------------------ 1.34/0.63 % (9785)------------------------------ 1.34/0.63 % (9809)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1797ds/191Mi) 1.75/0.64 % (9808)Instruction limit reached! 1.75/0.64 % (9808)------------------------------ 1.75/0.64 % (9808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.64 % (9808)Termination reason: Unknown 1.75/0.64 % (9808)Termination phase: shuffling 1.75/0.64 1.75/0.64 % (9808)Memory used [KB]: 2430 1.75/0.64 % (9808)Time elapsed: 0.014 s 1.75/0.64 % (9808)Instructions burned: 44 (million) 1.75/0.64 % (9808)------------------------------ 1.75/0.64 % (9808)------------------------------ 1.75/0.64 % (9810)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1797ds/62Mi) 1.75/0.64 % (9811)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1797ds/105Mi) 1.85/0.65 % (9810)Instruction limit reached! 1.85/0.65 % (9810)------------------------------ 1.85/0.65 % (9810)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.65 % (9810)Termination reason: Unknown 1.85/0.65 % (9810)Termination phase: Property scanning 1.85/0.65 1.85/0.65 % (9810)Memory used [KB]: 2558 1.85/0.65 % (9810)Time elapsed: 0.019 s 1.85/0.65 % (9810)Instructions burned: 63 (million) 1.85/0.65 % (9810)------------------------------ 1.85/0.65 % (9810)------------------------------ 1.85/0.66 % (9812)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.85/0.66 % (9812)Instruction limit reached! 1.85/0.66 % (9812)------------------------------ 1.85/0.66 % (9812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.66 % (9812)Termination reason: Unknown 1.85/0.66 % (9812)Termination phase: shuffling 1.85/0.66 1.85/0.66 % (9812)Memory used [KB]: 1535 1.85/0.66 % (9812)Time elapsed: 0.003 s 1.85/0.66 % (9812)Instructions burned: 5 (million) 1.85/0.66 % (9812)------------------------------ 1.85/0.66 % (9812)------------------------------ 1.85/0.67 % (9813)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 Vampire---4 for (1797ds/238Mi) 1.85/0.67 % (9811)Instruction limit reached! 1.85/0.67 % (9811)------------------------------ 1.85/0.67 % (9811)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.67 % (9811)Termination reason: Unknown 1.85/0.67 % (9811)Termination phase: Property scanning 1.85/0.67 1.85/0.67 % (9811)Memory used [KB]: 2558 1.85/0.67 % (9811)Time elapsed: 0.031 s 1.85/0.67 % (9811)Instructions burned: 107 (million) 1.85/0.67 % (9811)------------------------------ 1.85/0.67 % (9811)------------------------------ 1.85/0.68 % (9814)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 Vampire---4 for (1797ds/3Mi) 1.85/0.68 % (9814)Instruction limit reached! 1.85/0.68 % (9814)------------------------------ 1.85/0.68 % (9814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.68 % (9814)Termination reason: Unknown 1.85/0.68 % (9814)Termination phase: shuffling 1.85/0.68 1.85/0.68 % (9814)Memory used [KB]: 1535 1.85/0.68 % (9814)Time elapsed: 0.003 s 1.85/0.68 % (9814)Instructions burned: 4 (million) 1.85/0.68 % (9814)------------------------------ 1.85/0.68 % (9814)------------------------------ 1.85/0.68 % (9805)Instruction limit reached! 1.85/0.68 % (9805)------------------------------ 1.85/0.68 % (9805)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.68 % (9805)Termination reason: Unknown 1.85/0.68 % (9805)Termination phase: Saturation 1.85/0.68 1.85/0.68 % (9805)Memory used [KB]: 7291 1.85/0.68 % (9805)Time elapsed: 0.096 s 1.85/0.68 % (9805)Instructions burned: 276 (million) 1.85/0.68 % (9805)------------------------------ 1.85/0.68 % (9805)------------------------------ 1.85/0.69 % (9815)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 Vampire---4 for (1797ds/4Mi) 1.85/0.69 % (9816)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 Vampire---4 for (1797ds/149Mi) 1.85/0.69 % (9815)Instruction limit reached! 1.85/0.69 % (9815)------------------------------ 1.85/0.69 % (9815)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.69 % (9815)Termination reason: Unknown 1.85/0.69 % (9815)Termination phase: shuffling 1.85/0.69 1.85/0.69 % (9815)Memory used [KB]: 1535 1.85/0.69 % (9815)Time elapsed: 0.003 s 1.85/0.69 % (9815)Instructions burned: 6 (million) 1.85/0.69 % (9815)------------------------------ 1.85/0.69 % (9815)------------------------------ 1.85/0.70 % (9809)Instruction limit reached! 1.85/0.70 % (9809)------------------------------ 1.85/0.70 % (9809)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.85/0.70 % (9809)Termination reason: Unknown 1.85/0.70 % (9809)Termination phase: Saturation 1.85/0.70 1.85/0.70 % (9809)Memory used [KB]: 7419 1.85/0.70 % (9809)Time elapsed: 0.067 s 1.85/0.70 % (9809)Instructions burned: 193 (million) 1.85/0.70 % (9809)------------------------------ 1.85/0.70 % (9809)------------------------------ 1.85/0.70 % (9817)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi) 1.85/0.71 % (9818)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 Vampire---4 for (1797ds/199Mi) 2.37/0.72 % (9789)Instruction limit reached! 2.37/0.72 % (9789)------------------------------ 2.37/0.72 % (9789)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.72 % (9789)Termination reason: Unknown 2.37/0.72 % (9789)Termination phase: Saturation 2.37/0.72 2.37/0.72 % (9789)Memory used [KB]: 8443 2.37/0.72 % (9789)Time elapsed: 0.281 s 2.37/0.72 % (9789)Instructions burned: 915 (million) 2.37/0.72 % (9789)------------------------------ 2.37/0.72 % (9789)------------------------------ 2.37/0.73 % (9819)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi) 2.37/0.74 % (9816)Instruction limit reached! 2.37/0.74 % (9816)------------------------------ 2.37/0.74 % (9816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.74 % (9816)Termination reason: Unknown 2.37/0.74 % (9816)Termination phase: Property scanning 2.37/0.74 2.37/0.74 % (9816)Memory used [KB]: 2814 2.37/0.74 % (9816)Time elapsed: 0.044 s 2.37/0.74 % (9816)Instructions burned: 150 (million) 2.37/0.74 % (9816)------------------------------ 2.37/0.74 % (9816)------------------------------ 2.37/0.74 % (9813)Instruction limit reached! 2.37/0.74 % (9813)------------------------------ 2.37/0.74 % (9813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.74 % (9813)Termination reason: Unknown 2.37/0.74 % (9813)Termination phase: Saturation 2.37/0.74 2.37/0.74 % (9813)Memory used [KB]: 7547 2.37/0.74 % (9813)Time elapsed: 0.065 s 2.37/0.74 % (9813)Instructions burned: 241 (million) 2.37/0.74 % (9813)------------------------------ 2.37/0.74 % (9813)------------------------------ 2.37/0.74 % (9819)Instruction limit reached! 2.37/0.74 % (9819)------------------------------ 2.37/0.74 % (9819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.74 % (9819)Termination reason: Unknown 2.37/0.74 % (9819)Termination phase: Preprocessing 1 2.37/0.74 2.37/0.74 % (9819)Memory used [KB]: 2046 2.37/0.74 % (9819)Time elapsed: 0.015 s 2.37/0.74 % (9819)Instructions burned: 42 (million) 2.37/0.74 % (9819)------------------------------ 2.37/0.74 % (9819)------------------------------ 2.37/0.75 % (9820)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1796ds/721Mi) 2.37/0.75 % (9821)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.37/0.75 % (9817)Instruction limit reached! 2.37/0.75 % (9817)------------------------------ 2.37/0.75 % (9817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.75 % (9817)Termination reason: Unknown 2.37/0.75 % (9817)Termination phase: Property scanning 2.37/0.75 2.37/0.75 % (9817)Memory used [KB]: 2942 2.37/0.75 % (9817)Time elapsed: 0.044 s 2.37/0.75 % (9817)Instructions burned: 152 (million) 2.37/0.75 % (9817)------------------------------ 2.37/0.75 % (9817)------------------------------ 2.37/0.75 % (9821)Instruction limit reached! 2.37/0.75 % (9821)------------------------------ 2.37/0.75 % (9821)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.75 % (9821)Termination reason: Unknown 2.37/0.75 % (9821)Termination phase: shuffling 2.37/0.75 2.37/0.75 % (9821)Memory used [KB]: 1535 2.37/0.75 % (9821)Time elapsed: 0.003 s 2.37/0.75 % (9821)Instructions burned: 5 (million) 2.37/0.75 % (9821)------------------------------ 2.37/0.75 % (9821)------------------------------ 2.37/0.75 % (9822)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1796ds/18Mi) 2.37/0.75 % (9823)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1796ds/218Mi) 2.37/0.76 % (9824)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 Vampire---4 for (1796ds/448Mi) 2.37/0.76 % (9822)Instruction limit reached! 2.37/0.76 % (9822)------------------------------ 2.37/0.76 % (9822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.76 % (9822)Termination reason: Unknown 2.37/0.76 % (9822)Termination phase: shuffling 2.37/0.76 2.37/0.76 % (9822)Memory used [KB]: 1918 2.37/0.76 % (9822)Time elapsed: 0.008 s 2.37/0.76 % (9822)Instructions burned: 20 (million) 2.37/0.76 % (9822)------------------------------ 2.37/0.76 % (9822)------------------------------ 2.74/0.77 % (9825)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 Vampire---4 for (1796ds/6Mi) 2.74/0.77 % (9825)Instruction limit reached! 2.74/0.77 % (9825)------------------------------ 2.74/0.77 % (9825)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.77 % (9825)Termination reason: Unknown 2.74/0.77 % (9825)Termination phase: shuffling 2.74/0.77 2.74/0.77 % (9825)Memory used [KB]: 1535 2.74/0.77 % (9825)Time elapsed: 0.003 s 2.74/0.77 % (9825)Instructions burned: 6 (million) 2.74/0.77 % (9825)------------------------------ 2.74/0.77 % (9825)------------------------------ 2.74/0.77 % (9818)Instruction limit reached! 2.74/0.77 % (9818)------------------------------ 2.74/0.77 % (9818)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.77 % (9818)Termination reason: Unknown 2.74/0.77 % (9818)Termination phase: Saturation 2.74/0.77 2.74/0.77 % (9818)Memory used [KB]: 3582 2.74/0.77 % (9818)Time elapsed: 0.060 s 2.74/0.77 % (9818)Instructions burned: 201 (million) 2.74/0.77 % (9818)------------------------------ 2.74/0.77 % (9818)------------------------------ 2.74/0.78 % (9826)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1796ds/9Mi) 2.74/0.78 % (9827)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1796ds/16Mi) 2.74/0.78 % (9826)Instruction limit reached! 2.74/0.78 % (9826)------------------------------ 2.74/0.78 % (9826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.78 % (9826)Termination reason: Unknown 2.74/0.78 % (9826)Termination phase: shuffling 2.74/0.78 2.74/0.78 % (9826)Memory used [KB]: 1791 2.74/0.78 % (9826)Time elapsed: 0.005 s 2.74/0.78 % (9826)Instructions burned: 11 (million) 2.74/0.78 % (9826)------------------------------ 2.74/0.78 % (9826)------------------------------ 2.74/0.78 % (9827)Instruction limit reached! 2.74/0.78 % (9827)------------------------------ 2.74/0.78 % (9827)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.78 % (9827)Termination reason: Unknown 2.74/0.78 % (9827)Termination phase: shuffling 2.74/0.78 2.74/0.78 % (9827)Memory used [KB]: 1918 2.74/0.79 % (9827)Time elapsed: 0.007 s 2.74/0.79 % (9827)Instructions burned: 16 (million) 2.74/0.79 % (9827)------------------------------ 2.74/0.79 % (9827)------------------------------ 2.74/0.79 % (9828)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 Vampire---4 for (1796ds/40Mi) 2.74/0.79 % (9829)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1796ds/2Mi) 2.74/0.79 % (9829)Instruction limit reached! 2.74/0.79 % (9829)------------------------------ 2.74/0.79 % (9829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.79 % (9829)Termination reason: Unknown 2.74/0.79 % (9829)Termination phase: shuffling 2.74/0.79 2.74/0.79 % (9829)Memory used [KB]: 1535 2.74/0.79 % (9829)Time elapsed: 0.002 s 2.74/0.79 % (9829)Instructions burned: 2 (million) 2.74/0.79 % (9829)------------------------------ 2.74/0.79 % (9829)------------------------------ 2.74/0.80 % (9828)Instruction limit reached! 2.74/0.80 % (9828)------------------------------ 2.74/0.80 % (9828)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.80 % (9828)Termination reason: Unknown 2.74/0.80 % (9828)Termination phase: Property scanning 2.74/0.80 2.74/0.80 % (9828)Memory used [KB]: 2046 2.74/0.80 % (9828)Time elapsed: 0.014 s 2.74/0.80 % (9828)Instructions burned: 40 (million) 2.74/0.80 % (9828)------------------------------ 2.74/0.80 % (9828)------------------------------ 2.74/0.80 % (9830)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (1796ds/98Mi) 2.74/0.81 % (9831)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1796ds/8Mi) 2.74/0.81 % (9831)Instruction limit reached! 2.74/0.81 % (9831)------------------------------ 2.74/0.81 % (9831)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.81 % (9831)Termination reason: Unknown 2.74/0.81 % (9831)Termination phase: shuffling 2.74/0.81 2.74/0.81 % (9831)Memory used [KB]: 1663 2.74/0.81 % (9831)Time elapsed: 0.004 s 2.74/0.81 % (9831)Instructions burned: 8 (million) 2.74/0.81 % (9831)------------------------------ 2.74/0.81 % (9831)------------------------------ 2.74/0.82 % (9823)Instruction limit reached! 2.74/0.82 % (9823)------------------------------ 2.74/0.82 % (9823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.82 % (9823)Termination reason: Unknown 2.74/0.82 % (9823)Termination phase: Saturation 2.74/0.82 2.74/0.82 % (9823)Memory used [KB]: 7547 2.74/0.82 % (9823)Time elapsed: 0.064 s 2.74/0.82 % (9823)Instructions burned: 220 (million) 2.74/0.82 % (9823)------------------------------ 2.74/0.82 % (9823)------------------------------ 2.74/0.82 % (9832)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (1795ds/86Mi) 2.74/0.83 % (9833)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (1795ds/3Mi) 2.74/0.83 % (9833)Instruction limit reached! 2.74/0.83 % (9833)------------------------------ 2.74/0.83 % (9833)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.83 % (9833)Termination reason: Unknown 2.74/0.83 % (9833)Termination phase: shuffling 2.74/0.83 2.74/0.83 % (9833)Memory used [KB]: 1535 2.74/0.83 % (9833)Time elapsed: 0.003 s 2.74/0.83 % (9833)Instructions burned: 5 (million) 2.74/0.83 % (9833)------------------------------ 2.74/0.83 % (9833)------------------------------ 2.74/0.83 % (9830)Instruction limit reached! 2.74/0.83 % (9830)------------------------------ 2.74/0.83 % (9830)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.74/0.83 % (9830)Termination reason: Unknown 2.74/0.83 % (9830)Termination phase: Property scanning 2.74/0.83 2.74/0.83 % (9830)Memory used [KB]: 2558 2.74/0.83 % (9830)Time elapsed: 0.028 s 2.74/0.83 % (9830)Instructions burned: 98 (million) 2.74/0.83 % (9830)------------------------------ 2.74/0.83 % (9830)------------------------------ 2.74/0.84 % (9834)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1795ds/294Mi) 2.74/0.84 % (9835)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on Vampire---4 for (1795ds/274Mi) 3.24/0.85 % (9832)Instruction limit reached! 3.24/0.85 % (9832)------------------------------ 3.24/0.85 % (9832)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.24/0.85 % (9832)Termination reason: Unknown 3.24/0.85 % (9832)Termination phase: Function definition elimination 3.24/0.85 3.24/0.85 % (9832)Memory used [KB]: 2686 3.24/0.85 % (9832)Time elapsed: 0.027 s 3.24/0.85 % (9832)Instructions burned: 86 (million) 3.24/0.85 % (9832)------------------------------ 3.24/0.85 % (9832)------------------------------ 3.24/0.85 % (9795)Instruction limit reached! 3.24/0.85 % (9795)------------------------------ 3.24/0.85 % (9795)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.24/0.85 % (9795)Termination reason: Unknown 3.24/0.85 % (9795)Termination phase: Saturation 3.24/0.85 3.24/0.85 % (9795)Memory used [KB]: 8187 3.24/0.85 % (9795)Time elapsed: 0.365 s 3.24/0.85 % (9795)Instructions burned: 1044 (million) 3.24/0.85 % (9795)------------------------------ 3.24/0.85 % (9795)------------------------------ 3.24/0.86 % (9836)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1795ds/47Mi) 3.24/0.86 % (9837)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (1795ds/37Mi) 3.24/0.86 % (9800)First to succeed. 3.24/0.86 % (9792)Instruction limit reached! 3.24/0.86 % (9792)------------------------------ 3.24/0.86 % (9792)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.24/0.86 % (9792)Termination reason: Unknown 3.24/0.86 % (9792)Termination phase: Saturation 3.24/0.86 3.24/0.86 % (9792)Memory used [KB]: 10362 3.24/0.86 % (9792)Time elapsed: 0.377 s 3.24/0.86 % (9792)Instructions burned: 1022 (million) 3.24/0.86 % (9792)------------------------------ 3.24/0.86 % (9792)------------------------------ 3.24/0.87 % (9800)Refutation found. Thanks to Tanya! 3.24/0.87 % SZS status Theorem for Vampire---4 3.24/0.87 % SZS output start Proof for Vampire---4 3.24/0.87 thf(type_def_5, type, nat: $tType). 3.24/0.87 thf(type_def_7, type, type_Mirabelle_typ: $tType). 3.24/0.87 thf(type_def_8, type, set_nat: $tType). 3.24/0.87 thf(type_def_9, type, list_nat_o: $tType). 3.24/0.87 thf(type_def_10, type, list_n396811828le_typ: $tType). 3.24/0.87 thf(type_def_11, type, list_l865305402le_typ: $tType). 3.24/0.87 thf(type_def_12, type, list_l1334080099scheme: $tType). 3.24/0.87 thf(type_def_13, type, list_l1704431731scheme: $tType). 3.24/0.87 thf(type_def_14, type, list_T1103309005le_typ: $tType). 3.24/0.87 thf(type_def_15, type, list_l1790670291le_typ: $tType). 3.24/0.87 thf(type_def_16, type, list_T247403987scheme: $tType). 3.24/0.87 thf(type_def_17, type, list_nat: $tType). 3.24/0.87 thf(type_def_18, type, list_set_nat: $tType). 3.24/0.87 thf(type_def_19, type, type_M1694694083scheme: $tType). 3.24/0.87 thf(func_def_0, type, list_l1704431731scheme: $tType). 3.24/0.87 thf(func_def_1, type, list_l865305402le_typ: $tType). 3.24/0.87 thf(func_def_2, type, list_l1334080099scheme: $tType). 3.24/0.87 thf(func_def_3, type, list_n396811828le_typ: $tType). 3.24/0.87 thf(func_def_4, type, list_l1790670291le_typ: $tType). 3.24/0.87 thf(func_def_5, type, list_T247403987scheme: $tType). 3.24/0.87 thf(func_def_6, type, list_T1103309005le_typ: $tType). 3.24/0.87 thf(func_def_7, type, type_M1694694083scheme: $tType). 3.24/0.87 thf(func_def_8, type, list_set_nat: $tType). 3.24/0.87 thf(func_def_9, type, list_nat_o: $tType). 3.24/0.87 thf(func_def_10, type, type_Mirabelle_typ: $tType). 3.24/0.87 thf(func_def_11, type, list_nat: $tType). 3.24/0.87 thf(func_def_12, type, set_nat: $tType). 3.24/0.87 thf(func_def_13, type, nat: $tType). 3.24/0.87 thf(func_def_14, type, the_nat: (nat > $o) > nat). 3.24/0.87 thf(func_def_15, type, if_nat: $o > nat > nat > nat). 3.24/0.87 thf(func_def_16, type, if_Typ1169047309le_typ: $o > type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ). 3.24/0.87 thf(func_def_17, type, semila1414375521_nat_o: ((nat > $o) > (nat > $o) > nat > $o) > (nat > $o) > $o). 3.24/0.87 thf(func_def_18, type, semila1369944356et_nat: (set_nat > set_nat > set_nat) > set_nat > $o). 3.24/0.87 thf(func_def_19, type, sup_sup_nat_o: (nat > $o) > (nat > $o) > nat > $o). 3.24/0.87 thf(func_def_20, type, sup_sup_nat: nat > nat > nat). 3.24/0.87 thf(func_def_21, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 3.24/0.87 thf(func_def_22, type, cons_nat_o: (nat > $o) > list_nat_o > list_nat_o). 3.24/0.87 thf(func_def_23, type, cons_n499085924le_typ: (nat > type_Mirabelle_typ) > list_n396811828le_typ > list_n396811828le_typ). 3.24/0.87 thf(func_def_24, type, cons_l1800589546le_typ: list_n396811828le_typ > list_l865305402le_typ > list_l865305402le_typ). 3.24/0.87 thf(func_def_25, type, cons_l531914285scheme: list_l1334080099scheme > list_l1704431731scheme > list_l1704431731scheme). 3.24/0.87 thf(func_def_26, type, cons_l392684675le_typ: list_T1103309005le_typ > list_l1790670291le_typ > list_l1790670291le_typ). 3.24/0.87 thf(func_def_27, type, cons_l1910959773scheme: list_T247403987scheme > list_l1334080099scheme > list_l1334080099scheme). 3.24/0.87 thf(func_def_28, type, cons_nat: nat > list_nat > list_nat). 3.24/0.87 thf(func_def_29, type, cons_set_nat: set_nat > list_set_nat > list_set_nat). 3.24/0.87 thf(func_def_30, type, cons_T363929085le_typ: type_Mirabelle_typ > list_T1103309005le_typ > list_T1103309005le_typ). 3.24/0.87 thf(func_def_31, type, cons_T633159821scheme: type_M1694694083scheme > list_T247403987scheme > list_T247403987scheme). 3.24/0.87 thf(func_def_32, type, nil_nat_o: list_nat_o). 3.24/0.87 thf(func_def_33, type, nil_nat: list_nat). 3.24/0.87 thf(func_def_34, type, nil_set_nat: list_set_nat). 3.24/0.87 thf(func_def_35, type, nil_Ty61485117scheme: list_T247403987scheme). 3.24/0.87 thf(func_def_36, type, ord_lexordp_eq_nat_o: list_nat_o > list_nat_o > $o). 3.24/0.87 thf(func_def_37, type, ord_lexordp_eq_nat: list_nat > list_nat > $o). 3.24/0.87 thf(func_def_38, type, ord_le727790544et_nat: list_set_nat > list_set_nat > $o). 3.24/0.87 thf(func_def_39, type, bot_bot_nat_o: nat > $o). 3.24/0.87 thf(func_def_41, type, bot_bot_nat: nat). 3.24/0.87 thf(func_def_42, type, bot_bot_set_nat: set_nat). 3.24/0.87 thf(func_def_43, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o). 3.24/0.87 thf(func_def_44, type, ord_less_nat: nat > nat > $o). 3.24/0.87 thf(func_def_45, type, ord_less_set_nat: set_nat > set_nat > $o). 3.24/0.87 thf(func_def_46, type, collect_nat: (nat > $o) > set_nat). 3.24/0.87 thf(func_def_47, type, insert_nat: nat > set_nat > set_nat). 3.24/0.87 thf(func_def_48, type, is_empty_nat: set_nat > $o). 3.24/0.87 thf(func_def_49, type, is_singleton_nat: set_nat > $o). 3.24/0.87 thf(func_def_50, type, the_elem_nat: set_nat > nat). 3.24/0.87 thf(func_def_51, type, type_Mirabelle_cod: (nat > type_Mirabelle_typ) > set_nat). 3.24/0.87 thf(func_def_52, type, type_Mirabelle_dom: (nat > type_Mirabelle_typ) > set_nat). 3.24/0.87 thf(func_def_53, type, type_M405566558_subst: nat > type_Mirabelle_typ). 3.24/0.87 thf(func_def_54, type, type_M1006385707scheme: type_Mirabelle_typ > type_M1694694083scheme). 3.24/0.87 thf(func_def_55, type, type_M1734147655le_typ: nat > (nat > type_Mirabelle_typ) > $o). 3.24/0.87 thf(func_def_56, type, type_M244876119le_typ: nat > list_n396811828le_typ > $o). 3.24/0.87 thf(func_def_57, type, type_M2086816231le_typ: nat > list_l865305402le_typ > $o). 3.24/0.87 thf(func_def_58, type, type_M1172169604scheme: nat > list_l1704431731scheme > $o). 3.24/0.87 thf(func_def_59, type, type_M1826376056le_typ: nat > list_l1790670291le_typ > $o). 3.24/0.87 thf(func_def_60, type, type_M1377662078scheme: nat > list_l1334080099scheme > $o). 3.24/0.87 thf(func_def_61, type, type_M263553000le_typ: nat > list_T1103309005le_typ > $o). 3.24/0.87 thf(func_def_62, type, type_M2064939256scheme: nat > list_T247403987scheme > $o). 3.24/0.87 thf(func_def_63, type, type_M1211611096le_typ: nat > type_Mirabelle_typ > $o). 3.24/0.87 thf(func_def_64, type, type_M1963061490scheme: nat > type_M1694694083scheme > $o). 3.24/0.87 thf(func_def_65, type, type_M1898948661at_nat: nat > nat). 3.24/0.87 thf(func_def_66, type, type_Mirabelle_Fun: type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ). 3.24/0.87 thf(func_def_67, type, type_Mirabelle_TVar: nat > type_Mirabelle_typ). 3.24/0.87 thf(func_def_68, type, type_M1743451154le_typ: type_Mirabelle_typ > type_Mirabelle_typ). 3.24/0.87 thf(func_def_69, type, type_M2048935292e_BVar: nat > type_M1694694083scheme). 3.24/0.87 thf(func_def_70, type, type_M876316792e_FVar: nat > type_M1694694083scheme). 3.24/0.87 thf(func_def_71, type, type_M155660035e_SFun: type_M1694694083scheme > type_M1694694083scheme > type_M1694694083scheme). 3.24/0.87 thf(func_def_72, type, type_M1158474302le_typ: (nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > nat > type_Mirabelle_typ). 3.24/0.87 thf(func_def_73, type, type_M737052622le_typ: (nat > type_Mirabelle_typ) > list_n396811828le_typ > list_n396811828le_typ). 3.24/0.87 thf(func_def_74, type, type_M1385924301scheme: (nat > type_Mirabelle_typ) > list_l1704431731scheme > list_l1704431731scheme). 3.24/0.87 thf(func_def_75, type, type_M1913464047le_typ: (nat > type_Mirabelle_typ) > list_l1790670291le_typ > list_l1790670291le_typ). 3.24/0.87 thf(func_def_76, type, type_M1061687367scheme: (nat > type_Mirabelle_typ) > list_l1334080099scheme > list_l1334080099scheme). 3.24/0.87 thf(func_def_77, type, type_M1440203487le_typ: (nat > type_Mirabelle_typ) > list_T1103309005le_typ > list_T1103309005le_typ). 3.24/0.87 thf(func_def_78, type, type_M1944210753scheme: (nat > type_Mirabelle_typ) > list_T247403987scheme > list_T247403987scheme). 3.24/0.87 thf(func_def_79, type, type_M784671311le_typ: (nat > type_Mirabelle_typ) > type_Mirabelle_typ > type_Mirabelle_typ). 3.24/0.87 thf(func_def_80, type, type_M1690910139scheme: (nat > type_Mirabelle_typ) > type_M1694694083scheme > type_M1694694083scheme). 3.24/0.87 thf(func_def_81, type, type_M772783356le_typ: (nat > type_Mirabelle_typ) > set_nat). 3.24/0.87 thf(func_def_82, type, type_M513401740le_typ: list_n396811828le_typ > set_nat). 3.24/0.87 thf(func_def_83, type, type_M1496178953scheme: list_l1334080099scheme > set_nat). 3.24/0.87 thf(func_def_84, type, type_M1539052445le_typ: list_T1103309005le_typ > set_nat). 3.24/0.87 thf(func_def_85, type, type_M961603331scheme: list_T247403987scheme > set_nat). 3.24/0.87 thf(func_def_86, type, type_M801073677le_typ: type_Mirabelle_typ > set_nat). 3.24/0.87 thf(func_def_87, type, type_M326705277scheme: type_M1694694083scheme > set_nat). 3.24/0.87 thf(func_def_88, type, type_M1715972684le_typ: (nat > type_Mirabelle_typ) > set_nat). 3.24/0.87 thf(func_def_89, type, type_M1691543772le_typ: list_n396811828le_typ > set_nat). 3.24/0.87 thf(func_def_90, type, type_M906078444le_typ: list_l865305402le_typ > set_nat). 3.24/0.87 thf(func_def_91, type, type_M1926053183scheme: list_l1704431731scheme > set_nat). 3.24/0.87 thf(func_def_92, type, type_M1418941437le_typ: list_l1790670291le_typ > set_nat). 3.24/0.87 thf(func_def_93, type, type_M1958029241scheme: list_l1334080099scheme > set_nat). 3.24/0.87 thf(func_def_94, type, type_M510873837le_typ: list_T1103309005le_typ > set_nat). 3.24/0.87 thf(func_def_95, type, type_M141510067scheme: list_T247403987scheme > set_nat). 3.24/0.87 thf(func_def_96, type, type_M49385309le_typ: type_Mirabelle_typ > set_nat). 3.24/0.87 thf(func_def_97, type, type_M1050318637scheme: type_M1694694083scheme > set_nat). 3.24/0.87 thf(func_def_98, type, member_nat: nat > set_nat > $o). 3.24/0.87 thf(func_def_99, type, s1: nat > type_Mirabelle_typ). 3.24/0.87 thf(func_def_100, type, s2: nat > type_Mirabelle_typ). 3.24/0.87 thf(func_def_101, type, n: nat). 3.24/0.87 thf(func_def_102, type, x: nat). 3.24/0.87 thf(func_def_123, type, ph1: !>[X0: $tType]:(X0)). 3.24/0.87 thf(func_def_124, type, sK2: nat). 3.24/0.87 thf(func_def_125, type, sK3: nat > nat). 3.24/0.87 thf(func_def_126, type, sK4: nat). 3.24/0.87 thf(func_def_127, type, sK5: nat > nat). 3.24/0.87 thf(func_def_128, type, sK6: nat > nat). 3.24/0.87 thf(f3911,plain,( 3.24/0.87 $false), 3.24/0.87 inference(subsumption_resolution,[],[f3908,f3390])). 3.24/0.87 thf(f3390,plain,( 3.24/0.87 ((s1 @ n) != (s2 @ n))), 3.24/0.87 inference(equality_proxy_clausification,[],[f3385])). 3.24/0.87 thf(f3385,plain,( 3.24/0.87 (((s1 @ n) = (s2 @ n)) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3384])). 3.24/0.87 thf(f3384,plain,( 3.24/0.87 (($false | ((s1 @ n) = (s2 @ n))) = $false)), 3.24/0.87 inference(backward_demodulation,[],[f3379,f3383])). 3.24/0.87 thf(f3383,plain,( 3.24/0.87 ((~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x)))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3382])). 3.24/0.87 thf(f3382,plain,( 3.24/0.87 ($false = ($false | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))))), 3.24/0.87 inference(forward_demodulation,[],[f3367,f3373])). 3.24/0.87 thf(f3373,plain,( 3.24/0.87 ((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) = $false)), 3.24/0.87 inference(trivial_inequality_removal,[],[f3372])). 3.24/0.87 thf(f3372,plain,( 3.24/0.87 ($true = $false) | ((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3371])). 3.24/0.87 thf(f3371,plain,( 3.24/0.87 ((~ $true) = $true) | ((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3370])). 3.24/0.87 thf(f3370,plain,( 3.24/0.87 ($true = (~ ($true | ((s1 @ n) = (s2 @ n))))) | ((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3353])). 3.24/0.87 thf(f3353,plain,( 3.24/0.87 ((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) = $false) | ((~ (($true | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n)))) = $true)), 3.24/0.87 inference(superposition,[],[f2597,f2301])). 3.24/0.87 thf(f2301,plain,( 3.24/0.87 ( ! [X1 : $o] : (($true = X1) | ($false = X1)) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2148])). 3.24/0.87 thf(f2148,plain,( 3.24/0.87 ( ! [X1 : $o] : (($true = (X1 = $false)) | ($true = X1)) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2103])). 3.24/0.87 thf(f2103,plain,( 3.24/0.87 ( ! [X1 : $o] : (($true = (X1 = $true)) | ($true = (X1 = $false))) )), 3.24/0.87 inference(binary_proxy_clausification,[],[f2102])). 3.24/0.87 thf(f2102,plain,( 3.24/0.87 ( ! [X1 : $o] : (($true = ((X1 = $false) | (X1 = $true)))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2101])). 3.24/0.87 thf(f2101,plain,( 3.24/0.87 ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: ((Y0 = $false) | (Y0 = $true))) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1418])). 3.24/0.87 thf(f1418,plain,( 3.24/0.87 ($true = (!! @ $o @ (^[Y0 : $o]: ((Y0 = $false) | (Y0 = $true)))))), 3.24/0.87 inference(cnf_transformation,[],[f987])). 3.24/0.87 thf(f987,plain,( 3.24/0.87 ($true = (!! @ $o @ (^[Y0 : $o]: ((Y0 = $false) | (Y0 = $true)))))), 3.24/0.87 inference(fool_elimination,[],[f986])). 3.24/0.87 thf(f986,plain,( 3.24/0.87 ! [X0 : $o] : ((X0 = $true) | (X0 = $false))), 3.24/0.87 inference(rectify,[],[f265])). 3.24/0.87 thf(f265,axiom,( 3.24/0.87 ! [X15 : $o] : ((X15 = $true) | (X15 = $false))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',help_If_3_1_If_001t__Type____Mirabelle____lczmhmumaa__Otyp_T)). 3.24/0.87 thf(f2597,plain,( 3.24/0.87 ((~ (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n)))) = $true)), 3.24/0.87 inference(forward_demodulation,[],[f2591,f2589])). 3.24/0.87 thf(f2589,plain,( 3.24/0.87 ( ! [X2 : nat > type_Mirabelle_typ,X1 : nat] : (((type_M1690910139scheme @ X2 @ (type_M876316792e_FVar @ X1)) = (type_M1006385707scheme @ (X2 @ X1)))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2588])). 3.24/0.87 thf(f2588,plain,( 3.24/0.87 ( ! [X2 : nat > type_Mirabelle_typ,X1 : nat] : (($true = ((type_M1690910139scheme @ X2 @ (type_M876316792e_FVar @ X1)) = (type_M1006385707scheme @ (X2 @ X1))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2587])). 3.24/0.87 thf(f2587,plain,( 3.24/0.87 ( ! [X2 : nat > type_Mirabelle_typ,X1 : nat] : (($true = ((^[Y0 : nat > type_Mirabelle_typ]: ((type_M1690910139scheme @ Y0 @ (type_M876316792e_FVar @ X1)) = (type_M1006385707scheme @ (Y0 @ X1)))) @ X2))) )), 3.24/0.87 inference(pi_clausification,[],[f2585])). 3.24/0.87 thf(f2585,plain,( 3.24/0.87 ( ! [X1 : nat] : (($true = (!! @ (nat > type_Mirabelle_typ) @ (^[Y0 : nat > type_Mirabelle_typ]: ((type_M1690910139scheme @ Y0 @ (type_M876316792e_FVar @ X1)) = (type_M1006385707scheme @ (Y0 @ X1))))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2584])). 3.24/0.87 thf(f2584,plain,( 3.24/0.87 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ (nat > type_Mirabelle_typ) @ (^[Y1 : nat > type_Mirabelle_typ]: ((type_M1690910139scheme @ Y1 @ (type_M876316792e_FVar @ Y0)) = (type_M1006385707scheme @ (Y1 @ Y0)))))) @ X1) = $true)) )), 3.24/0.87 inference(pi_clausification,[],[f1372])). 3.24/0.87 thf(f1372,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ (nat > type_Mirabelle_typ) @ (^[Y1 : nat > type_Mirabelle_typ]: ((type_M1690910139scheme @ Y1 @ (type_M876316792e_FVar @ Y0)) = (type_M1006385707scheme @ (Y1 @ Y0))))))))), 3.24/0.87 inference(cnf_transformation,[],[f609])). 3.24/0.87 thf(f609,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ (nat > type_Mirabelle_typ) @ (^[Y1 : nat > type_Mirabelle_typ]: ((type_M1690910139scheme @ Y1 @ (type_M876316792e_FVar @ Y0)) = (type_M1006385707scheme @ (Y1 @ Y0))))))))), 3.24/0.87 inference(fool_elimination,[],[f608])). 3.24/0.87 thf(f608,plain,( 3.24/0.87 ! [X0 : nat > type_Mirabelle_typ,X1 : nat] : ((type_M1690910139scheme @ X0 @ (type_M876316792e_FVar @ X1)) = (type_M1006385707scheme @ (X0 @ X1)))), 3.24/0.87 inference(rectify,[],[f27])). 3.24/0.87 thf(f27,axiom,( 3.24/0.87 ! [X8 : nat > type_Mirabelle_typ,X44 : nat] : ((type_M1690910139scheme @ X8 @ (type_M876316792e_FVar @ X44)) = (type_M1006385707scheme @ (X8 @ X44)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_3_app__subst__type__scheme_Osimps_I1_J)). 3.24/0.87 thf(f2591,plain,( 3.24/0.87 ($true = (~ (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.24/0.87 inference(backward_demodulation,[],[f2081,f2589])). 3.24/0.87 thf(f2081,plain,( 3.24/0.87 ($true = (~ (((~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.24/0.87 inference(backward_demodulation,[],[f1120,f2080])). 3.24/0.87 thf(f2080,plain,( 3.24/0.87 ( ! [X0 : nat] : (((type_M49385309le_typ @ (type_M405566558_subst @ X0)) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0)))) )), 3.24/0.87 inference(superposition,[],[f2072,f2077])). 3.24/0.87 thf(f2077,plain,( 3.24/0.87 ( ! [X1 : nat] : (((type_M876316792e_FVar @ X1) = (type_M1006385707scheme @ (type_M405566558_subst @ X1)))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2076])). 3.24/0.87 thf(f2076,plain,( 3.24/0.87 ( ! [X1 : nat] : (($true = ((type_M876316792e_FVar @ X1) = (type_M1006385707scheme @ (type_M405566558_subst @ X1))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2075])). 3.24/0.87 thf(f2075,plain,( 3.24/0.87 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_M405566558_subst @ Y0)))) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1541])). 3.24/0.87 thf(f1541,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_M405566558_subst @ Y0))))))), 3.24/0.87 inference(definition_unfolding,[],[f1206,f1346])). 3.24/0.87 thf(f1346,plain,( 3.24/0.87 (type_Mirabelle_TVar = type_M405566558_subst)), 3.24/0.87 inference(cnf_transformation,[],[f826])). 3.24/0.87 thf(f826,plain,( 3.24/0.87 (type_Mirabelle_TVar = type_M405566558_subst)), 3.24/0.87 inference(fool_elimination,[],[f263])). 3.24/0.87 thf(f263,axiom,( 3.24/0.87 (type_Mirabelle_TVar = type_M405566558_subst)), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_227_id__subst__def)). 3.24/0.87 thf(f1206,plain,( 3.24/0.87 ((!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ Y0))))) = $true)), 3.24/0.87 inference(cnf_transformation,[],[f730])). 3.24/0.87 thf(f730,plain,( 3.24/0.87 ((!! @ nat @ (^[Y0 : nat]: ((type_M876316792e_FVar @ Y0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ Y0))))) = $true)), 3.24/0.87 inference(fool_elimination,[],[f729])). 3.24/0.87 thf(f729,plain,( 3.24/0.87 ! [X0 : nat] : ((type_M876316792e_FVar @ X0) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ X0)))), 3.24/0.87 inference(rectify,[],[f298])). 3.24/0.87 thf(f298,axiom,( 3.24/0.87 ! [X44 : nat] : ((type_M876316792e_FVar @ X44) = (type_M1006385707scheme @ (type_Mirabelle_TVar @ X44)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_219_mk__scheme_Osimps_I1_J)). 3.24/0.87 thf(f2072,plain,( 3.24/0.87 ( ! [X1 : type_Mirabelle_typ] : (((type_M49385309le_typ @ X1) = (type_M1050318637scheme @ (type_M1006385707scheme @ X1)))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2071])). 3.24/0.87 thf(f2071,plain,( 3.24/0.87 ( ! [X1 : type_Mirabelle_typ] : ((((type_M49385309le_typ @ X1) = (type_M1050318637scheme @ (type_M1006385707scheme @ X1))) = $true)) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2070])). 3.24/0.87 thf(f2070,plain,( 3.24/0.87 ( ! [X1 : type_Mirabelle_typ] : ((((^[Y0 : type_Mirabelle_typ]: ((type_M49385309le_typ @ Y0) = (type_M1050318637scheme @ (type_M1006385707scheme @ Y0)))) @ X1) = $true)) )), 3.24/0.87 inference(pi_clausification,[],[f1356])). 3.24/0.87 thf(f1356,plain,( 3.24/0.87 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: ((type_M49385309le_typ @ Y0) = (type_M1050318637scheme @ (type_M1006385707scheme @ Y0))))))), 3.24/0.87 inference(cnf_transformation,[],[f434])). 3.24/0.87 thf(f434,plain,( 3.24/0.87 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: ((type_M49385309le_typ @ Y0) = (type_M1050318637scheme @ (type_M1006385707scheme @ Y0))))))), 3.24/0.87 inference(fool_elimination,[],[f433])). 3.24/0.87 thf(f433,plain,( 3.24/0.87 ! [X0 : type_Mirabelle_typ] : ((type_M49385309le_typ @ X0) = (type_M1050318637scheme @ (type_M1006385707scheme @ X0)))), 3.24/0.87 inference(rectify,[],[f74])). 3.24/0.87 thf(f74,axiom,( 3.24/0.87 ! [X24 : type_Mirabelle_typ] : ((type_M49385309le_typ @ X24) = (type_M1050318637scheme @ (type_M1006385707scheme @ X24)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_14_free__tv__mk__scheme)). 3.24/0.87 thf(f1120,plain,( 3.24/0.87 ($true = (~ (((~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x)))) | (~ (member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.24/0.87 inference(cnf_transformation,[],[f945])). 3.24/0.87 thf(f945,plain,( 3.24/0.87 ($true = (~ (((~ ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) = (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x)))) | (~ (member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))))) | ((s1 @ n) = (s2 @ n)))))), 3.24/0.87 inference(fool_elimination,[],[f944])). 3.24/0.87 thf(f944,plain,( 3.24/0.87 ~(((s1 @ n) = (s2 @ n)) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))), 3.24/0.87 inference(rectify,[],[f284])). 3.24/0.87 thf(f284,negated_conjecture,( 3.24/0.87 ~(((s1 @ n) = (s2 @ n)) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x))))), 3.24/0.87 inference(negated_conjecture,[],[f283])). 3.24/0.87 thf(f283,conjecture,( 3.24/0.87 ((s1 @ n) = (s2 @ n)) | ~(member_nat @ n @ (type_M1050318637scheme @ (type_M876316792e_FVar @ x))) | ((type_M1690910139scheme @ s1 @ (type_M876316792e_FVar @ x)) != (type_M1690910139scheme @ s2 @ (type_M876316792e_FVar @ x)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',conj_0)). 3.24/0.87 thf(f3367,plain,( 3.24/0.87 (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) = $false)), 3.24/0.87 inference(trivial_inequality_removal,[],[f3366])). 3.24/0.87 thf(f3366,plain,( 3.24/0.87 ($true = $false) | (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3365])). 3.24/0.87 thf(f3365,plain,( 3.24/0.87 (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) = $false) | ((~ $true) = $true)), 3.24/0.87 inference(boolean_simplification,[],[f3354])). 3.24/0.87 thf(f3354,plain,( 3.24/0.87 (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) = $false) | ($true = (~ ($true | ((s1 @ n) = (s2 @ n)))))), 3.24/0.87 inference(superposition,[],[f2597,f2301])). 3.24/0.87 thf(f3379,plain,( 3.24/0.87 (((~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x)))) | ((s1 @ n) = (s2 @ n))) = $false)), 3.24/0.87 inference(boolean_simplification,[],[f3378])). 3.24/0.87 thf(f3378,plain,( 3.24/0.87 ($false = (($false | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n))))), 3.24/0.87 inference(forward_demodulation,[],[f3369,f3373])). 3.24/0.87 thf(f3369,plain,( 3.24/0.87 ($false = (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n))))), 3.24/0.87 inference(trivial_inequality_removal,[],[f3368])). 3.24/0.87 thf(f3368,plain,( 3.24/0.87 ($true = $false) | ($false = (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n))))), 3.24/0.87 inference(boolean_simplification,[],[f3355])). 3.24/0.87 thf(f3355,plain,( 3.24/0.87 ((~ $true) = $true) | ($false = (((~ ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x)))) | (~ (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))) | ((s1 @ n) = (s2 @ n))))), 3.24/0.87 inference(superposition,[],[f2597,f2301])). 3.24/0.87 thf(f3908,plain,( 3.24/0.87 ((s1 @ n) = (s2 @ n))), 3.24/0.87 inference(backward_demodulation,[],[f3617,f3893])). 3.24/0.87 thf(f3893,plain,( 3.24/0.87 (n = x)), 3.24/0.87 inference(equality_proxy_clausification,[],[f3882])). 3.24/0.87 thf(f3882,plain,( 3.24/0.87 ((x = n) = $true)), 3.24/0.87 inference(superposition,[],[f3823,f3409])). 3.24/0.87 thf(f3409,plain,( 3.24/0.87 ($true = (member_nat @ n @ (type_M49385309le_typ @ (type_M405566558_subst @ x))))), 3.24/0.87 inference(not_proxy_clausification,[],[f3383])). 3.24/0.87 thf(f3823,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat] : (((X0 = X1) = (member_nat @ X1 @ (type_M49385309le_typ @ (type_M405566558_subst @ X0))))) )), 3.24/0.87 inference(backward_demodulation,[],[f3727,f3815])). 3.24/0.87 thf(f3815,plain,( 3.24/0.87 ( ! [X0 : nat] : (((type_M49385309le_typ @ (type_M405566558_subst @ X0)) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0)))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f3687])). 3.24/0.87 thf(f3687,plain,( 3.24/0.87 ( ! [X0 : nat] : (($true = ((type_M326705277scheme @ (type_M2048935292e_BVar @ X0)) = (type_M49385309le_typ @ (type_M405566558_subst @ X0))))) )), 3.24/0.87 inference(backward_demodulation,[],[f3561,f3686])). 3.24/0.87 thf(f3686,plain,( 3.24/0.87 ( ! [X0 : nat] : (((type_M326705277scheme @ (type_M2048935292e_BVar @ X0)) = (collect_nat @ (= @ X0)))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f3547])). 3.24/0.87 thf(f3547,plain,( 3.24/0.87 ( ! [X0 : nat] : (($true = ((collect_nat @ (= @ X0)) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))))) )), 3.24/0.87 inference(forward_demodulation,[],[f3546,f2094])). 3.24/0.87 thf(f2094,plain,( 3.24/0.87 ( ! [X1 : set_nat] : (((collect_nat @ (^[Y0 : nat]: (member_nat @ Y0 @ X1))) = X1)) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2093])). 3.24/0.87 thf(f2093,plain,( 3.24/0.87 ( ! [X1 : set_nat] : ((((collect_nat @ (^[Y0 : nat]: (member_nat @ Y0 @ X1))) = X1) = $true)) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2092])). 3.24/0.87 thf(f2092,plain,( 3.24/0.87 ( ! [X1 : set_nat] : ((((^[Y0 : set_nat]: ((collect_nat @ (^[Y1 : nat]: (member_nat @ Y1 @ Y0))) = Y0)) @ X1) = $true)) )), 3.24/0.87 inference(pi_clausification,[],[f1409])). 3.24/0.87 thf(f1409,plain,( 3.24/0.87 ((!! @ set_nat @ (^[Y0 : set_nat]: ((collect_nat @ (^[Y1 : nat]: (member_nat @ Y1 @ Y0))) = Y0))) = $true)), 3.24/0.87 inference(cnf_transformation,[],[f902])). 3.24/0.87 thf(f902,plain,( 3.24/0.87 ((!! @ set_nat @ (^[Y0 : set_nat]: ((collect_nat @ (^[Y1 : nat]: (member_nat @ Y1 @ Y0))) = Y0))) = $true)), 3.24/0.87 inference(fool_elimination,[],[f901])). 3.24/0.87 thf(f901,plain,( 3.24/0.87 ! [X0 : set_nat] : ((collect_nat @ (^[X1 : nat] : (member_nat @ X1 @ X0))) = X0)), 3.24/0.87 inference(rectify,[],[f326])). 3.24/0.87 thf(f326,axiom,( 3.24/0.87 ! [X37 : set_nat] : ((collect_nat @ (^[X33 : nat] : (member_nat @ X33 @ X37))) = X37)), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_59_Collect__mem__eq)). 3.24/0.87 thf(f3546,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3545,f2250])). 3.24/0.87 thf(f2250,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (((sup_sup_nat_o @ X1 @ (^[Y0 : nat]: (bot_bot_o))) = X1)) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2249])). 3.24/0.87 thf(f2249,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = ((sup_sup_nat_o @ X1 @ (^[Y0 : nat]: (bot_bot_o))) = X1))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2248])). 3.24/0.87 thf(f2248,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = ((^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ (^[Y1 : nat]: (bot_bot_o))) = Y0)) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1568])). 3.24/0.87 thf(f1568,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ (^[Y1 : nat]: (bot_bot_o))) = Y0))))), 3.24/0.87 inference(definition_unfolding,[],[f1239,f1099])). 3.24/0.87 thf(f1099,plain,( 3.24/0.87 (bot_bot_nat_o = (^[Y0 : nat]: (bot_bot_o)))), 3.24/0.87 inference(cnf_transformation,[],[f461])). 3.24/0.87 thf(f461,plain,( 3.24/0.87 (bot_bot_nat_o = (^[Y0 : nat]: (bot_bot_o)))), 3.24/0.87 inference(fool_elimination,[],[f460])). 3.24/0.87 thf(f460,plain,( 3.24/0.87 (bot_bot_nat_o = (^[X0 : nat] : (bot_bot_o)))), 3.24/0.87 inference(rectify,[],[f105])). 3.24/0.87 thf(f105,axiom,( 3.24/0.87 (bot_bot_nat_o = (^[X33 : nat] : (bot_bot_o)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_218_bot__fun__def)). 3.24/0.87 thf(f1239,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ bot_bot_nat_o) = Y0))))), 3.24/0.87 inference(cnf_transformation,[],[f791])). 3.24/0.87 thf(f791,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((sup_sup_nat_o @ Y0 @ bot_bot_nat_o) = Y0))))), 3.24/0.87 inference(fool_elimination,[],[f55])). 3.24/0.87 thf(f55,axiom,( 3.24/0.87 ! [X0 : nat > $o] : ((sup_sup_nat_o @ X0 @ bot_bot_nat_o) = X0)), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_293_sup__bot__right)). 3.24/0.87 thf(f3545,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (bot_bot_o)))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3544,f2013])). 3.24/0.87 thf(f2013,plain,( 3.24/0.87 ((^[Y0 : nat]: (member_nat @ Y0 @ (type_M141510067scheme @ nil_Ty61485117scheme))) = (^[Y0 : nat]: (bot_bot_o)))), 3.24/0.87 inference(forward_demodulation,[],[f1514,f1548])). 3.24/0.87 thf(f1548,plain,( 3.24/0.87 ((type_M141510067scheme @ nil_Ty61485117scheme) = (type_Mirabelle_cod @ type_M405566558_subst))), 3.24/0.87 inference(definition_unfolding,[],[f1214,f1139])). 3.24/0.87 thf(f1139,plain,( 3.24/0.87 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.24/0.87 inference(cnf_transformation,[],[f596])). 3.24/0.87 thf(f596,plain,( 3.24/0.87 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.24/0.87 inference(fool_elimination,[],[f259])). 3.24/0.87 thf(f259,axiom,( 3.24/0.87 (bot_bot_set_nat = (type_Mirabelle_cod @ type_M405566558_subst))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_242_cod__id__subst)). 3.24/0.87 thf(f1214,plain,( 3.24/0.87 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.24/0.87 inference(cnf_transformation,[],[f772])). 3.24/0.87 thf(f772,plain,( 3.24/0.87 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.24/0.87 inference(fool_elimination,[],[f116])). 3.24/0.87 thf(f116,axiom,( 3.24/0.87 (bot_bot_set_nat = (type_M141510067scheme @ nil_Ty61485117scheme))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_352_free__tv__list_Osimps_I1_J)). 3.24/0.87 thf(f1514,plain,( 3.24/0.87 ((^[Y0 : nat]: (bot_bot_o)) = (^[Y0 : nat]: (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))), 3.24/0.87 inference(definition_unfolding,[],[f1171,f1099,f1139])). 3.24/0.87 thf(f1171,plain,( 3.24/0.87 (bot_bot_nat_o = (^[Y0 : nat]: (member_nat @ Y0 @ bot_bot_set_nat)))), 3.24/0.87 inference(cnf_transformation,[],[f649])). 3.24/0.87 thf(f649,plain,( 3.24/0.87 (bot_bot_nat_o = (^[Y0 : nat]: (member_nat @ Y0 @ bot_bot_set_nat)))), 3.24/0.87 inference(fool_elimination,[],[f648])). 3.24/0.87 thf(f648,plain,( 3.24/0.87 (bot_bot_nat_o = (^[X0 : nat] : (member_nat @ X0 @ bot_bot_set_nat)))), 3.24/0.87 inference(rectify,[],[f348])). 3.24/0.87 thf(f348,axiom,( 3.24/0.87 (bot_bot_nat_o = (^[X33 : nat] : (member_nat @ X33 @ bot_bot_set_nat)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_250_bot__empty__eq)). 3.24/0.87 thf(f3544,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_M141510067scheme @ nil_Ty61485117scheme))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3543,f1548])). 3.24/0.87 thf(f3543,plain,( 3.24/0.87 ( ! [X0 : nat] : (($true = ((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))))) )), 3.24/0.87 inference(boolean_simplification,[],[f3542])). 3.24/0.87 thf(f3542,plain,( 3.24/0.87 ( ! [X0 : nat] : ((($true => ((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0)))) = $true)) )), 3.24/0.87 inference(beta_eta_normalization,[],[f3540])). 3.24/0.87 thf(f3540,plain,( 3.24/0.87 ( ! [X0 : nat] : ((($true => ((^[Y0 : nat]: ((collect_nat @ (sup_sup_nat_o @ (^[Y1 : nat]: (member_nat @ Y1 @ (collect_nat @ (= @ Y0)))) @ (^[Y1 : nat]: (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ Y0)))) @ X0)) = $true)) )), 3.24/0.87 inference(superposition,[],[f2782,f1717])). 3.24/0.87 thf(f1717,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((collect_nat @ (sup_sup_nat_o @ (^[Y1 : nat]: (member_nat @ Y1 @ (collect_nat @ (= @ Y0)))) @ (^[Y1 : nat]: (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M326705277scheme @ (type_M2048935292e_BVar @ Y0))))))), 3.24/0.87 inference(beta_eta_normalization,[],[f1578])). 3.24/0.87 thf(f1578,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: (((^[Y1 : nat]: ((^[Y2 : set_nat]: ((^[Y3 : set_nat]: (collect_nat @ (sup_sup_nat_o @ (^[Y4 : nat]: (member_nat @ Y4 @ Y2)) @ (^[Y4 : nat]: (member_nat @ Y4 @ Y3))))))) @ (collect_nat @ (^[Y2 : nat]: (Y1 = Y2))))) @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst)) = (type_M326705277scheme @ (type_M2048935292e_BVar @ Y0))))))), 3.24/0.87 inference(definition_unfolding,[],[f1250,f1431,f1139])). 3.24/0.87 thf(f1431,plain,( 3.24/0.87 (insert_nat = (^[Y0 : nat]: ((^[Y1 : set_nat]: ((^[Y2 : set_nat]: (collect_nat @ (sup_sup_nat_o @ (^[Y3 : nat]: (member_nat @ Y3 @ Y1)) @ (^[Y3 : nat]: (member_nat @ Y3 @ Y2))))))) @ (collect_nat @ (^[Y1 : nat]: (Y0 = Y1))))))), 3.24/0.87 inference(definition_unfolding,[],[f1314,f1072])). 3.24/0.87 thf(f1072,plain,( 3.24/0.87 (sup_sup_set_nat = (^[Y0 : set_nat]: ((^[Y1 : set_nat]: (collect_nat @ (sup_sup_nat_o @ (^[Y2 : nat]: (member_nat @ Y2 @ Y0)) @ (^[Y2 : nat]: (member_nat @ Y2 @ Y1))))))))), 3.24/0.87 inference(cnf_transformation,[],[f892])). 3.24/0.87 thf(f892,plain,( 3.24/0.87 (sup_sup_set_nat = (^[Y0 : set_nat]: ((^[Y1 : set_nat]: (collect_nat @ (sup_sup_nat_o @ (^[Y2 : nat]: (member_nat @ Y2 @ Y0)) @ (^[Y2 : nat]: (member_nat @ Y2 @ Y1))))))))), 3.24/0.87 inference(fool_elimination,[],[f891])). 3.24/0.87 thf(f891,plain,( 3.24/0.87 ((^[X0 : set_nat, X1 : set_nat] : (collect_nat @ (sup_sup_nat_o @ (^[X2 : nat] : (member_nat @ X2 @ X0)) @ (^[X3 : nat] : (member_nat @ X3 @ X1))))) = sup_sup_set_nat)), 3.24/0.87 inference(rectify,[],[f30])). 3.24/0.87 thf(f30,axiom,( 3.24/0.87 ((^[X45 : set_nat, X46 : set_nat] : (collect_nat @ (sup_sup_nat_o @ (^[X33 : nat] : (member_nat @ X33 @ X45)) @ (^[X33 : nat] : (member_nat @ X33 @ X46))))) = sup_sup_set_nat)), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_308_sup__set__def)). 3.24/0.87 thf(f1314,plain,( 3.24/0.87 (insert_nat = (^[Y0 : nat]: (sup_sup_set_nat @ (collect_nat @ (^[Y1 : nat]: (Y0 = Y1))))))), 3.24/0.87 inference(cnf_transformation,[],[f445])). 3.24/0.87 thf(f445,plain,( 3.24/0.87 (insert_nat = (^[Y0 : nat]: (sup_sup_set_nat @ (collect_nat @ (^[Y1 : nat]: (Y0 = Y1))))))), 3.24/0.87 inference(fool_elimination,[],[f444])). 3.24/0.87 thf(f444,plain,( 3.24/0.87 ((^[X0 : nat] : (sup_sup_set_nat @ (collect_nat @ (^[X1 : nat] : ((X0 = X1)))))) = insert_nat)), 3.24/0.87 inference(rectify,[],[f97])). 3.24/0.87 thf(f97,axiom,( 3.24/0.87 ((^[X55 : nat] : (sup_sup_set_nat @ (collect_nat @ (^[X33 : nat] : ((X33 = X55)))))) = insert_nat)), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_270_insert__def)). 3.24/0.87 thf(f1250,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M326705277scheme @ (type_M2048935292e_BVar @ Y0))))))), 3.24/0.87 inference(cnf_transformation,[],[f575])). 3.24/0.87 thf(f575,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M326705277scheme @ (type_M2048935292e_BVar @ Y0))))))), 3.24/0.87 inference(fool_elimination,[],[f574])). 3.24/0.87 thf(f574,plain,( 3.24/0.87 ! [X0 : nat] : ((insert_nat @ X0 @ bot_bot_set_nat) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X0)))), 3.24/0.87 inference(rectify,[],[f126])). 3.24/0.87 thf(f126,axiom,( 3.24/0.87 ! [X56 : nat] : ((insert_nat @ X56 @ bot_bot_set_nat) = (type_M326705277scheme @ (type_M2048935292e_BVar @ X56)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_95_bound__tv__type__scheme_Osimps_I2_J)). 3.24/0.87 thf(f2782,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : (($true = ((!! @ nat @ X1) => (X1 @ X0)))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2781])). 3.24/0.87 thf(f2781,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : (($true = ((!! @ nat @ (^[Y0 : nat]: (X1 @ Y0))) => (X1 @ X0)))) )), 3.24/0.87 inference(boolean_simplification,[],[f2780])). 3.24/0.87 thf(f2780,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : (($true = ((!! @ nat @ (^[Y0 : nat]: (~ (~ (X1 @ Y0))))) => (X1 @ X0)))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2779])). 3.24/0.87 thf(f2779,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : ((((!! @ nat @ (^[Y0 : nat]: (~ ((^[Y1 : nat]: (~ (X1 @ Y1))) @ Y0)))) => (X1 @ X0)) = $true)) )), 3.24/0.87 inference(backward_demodulation,[],[f2403,f2754])). 3.24/0.87 thf(f2754,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : ((((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ X1)) = (!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0)))))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2646])). 3.24/0.87 thf(f2646,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ X1)) = (!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))))) )), 3.24/0.87 inference(forward_demodulation,[],[f2645,f1548])). 3.24/0.87 thf(f2645,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ X1)) = (!! @ nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2644])). 3.24/0.87 thf(f2644,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = ((^[Y0 : nat > $o]: (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1)))))) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1564])). 3.24/0.87 thf(f1564,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: (((type_Mirabelle_cod @ type_M405566558_subst) = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))))), 3.24/0.87 inference(definition_unfolding,[],[f1235,f1139])). 3.24/0.87 thf(f1235,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((bot_bot_set_nat = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))))), 3.24/0.87 inference(cnf_transformation,[],[f675])). 3.24/0.87 thf(f675,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((bot_bot_set_nat = (collect_nat @ Y0)) = (!! @ nat @ (^[Y1 : nat]: (~ (Y0 @ Y1))))))))), 3.24/0.87 inference(fool_elimination,[],[f674])). 3.24/0.87 thf(f674,plain,( 3.24/0.87 ! [X0 : nat > $o] : ((bot_bot_set_nat = (collect_nat @ X0)) = ! [X1 : nat] : ~(X0 @ X1))), 3.24/0.87 inference(rectify,[],[f356])). 3.24/0.87 thf(f356,axiom,( 3.24/0.87 ! [X15 : nat > $o] : (((collect_nat @ X15) = bot_bot_set_nat) = ! [X33 : nat] : ~(X15 @ X33))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_63_empty__Collect__eq)). 3.24/0.87 thf(f2403,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))) => (X1 @ X0)))) )), 3.24/0.87 inference(boolean_simplification,[],[f2400])). 3.24/0.87 thf(f2400,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat > $o] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = (collect_nat @ (^[Y0 : nat]: (~ (X1 @ Y0))))) => (~ (~ (X1 @ X0)))))) )), 3.24/0.87 inference(superposition,[],[f2242,f2362])). 3.24/0.87 thf(f2362,plain,( 3.24/0.87 ( ! [X2 : nat,X5 : nat > $o] : (((~ (X5 @ X2)) = (member_nat @ X2 @ (collect_nat @ (^[Y0 : nat]: (~ (X5 @ Y0))))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2357])). 3.24/0.87 thf(f2357,plain,( 3.24/0.87 ( ! [X2 : nat,X5 : nat > $o] : ((((^[Y0 : nat]: (~ (X5 @ Y0))) @ X2) = (member_nat @ X2 @ (collect_nat @ (^[Y0 : nat]: (~ (X5 @ Y0))))))) )), 3.24/0.87 inference(primitive_instantiation,[],[f2310])). 3.24/0.87 thf(f2310,plain,( 3.24/0.87 ( ! [X2 : nat,X1 : nat > $o] : (((member_nat @ X2 @ (collect_nat @ X1)) = (X1 @ X2))) )), 3.24/0.87 inference(equality_proxy_clausification,[],[f2305])). 3.24/0.87 thf(f2305,plain,( 3.24/0.87 ( ! [X2 : nat,X1 : nat > $o] : (($true = ((member_nat @ X2 @ (collect_nat @ X1)) = (X1 @ X2)))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2304])). 3.24/0.87 thf(f2304,plain,( 3.24/0.87 ( ! [X2 : nat,X1 : nat > $o] : (($true = ((^[Y0 : nat]: ((member_nat @ Y0 @ (collect_nat @ X1)) = (X1 @ Y0))) @ X2))) )), 3.24/0.87 inference(pi_clausification,[],[f2296])). 3.24/0.87 thf(f2296,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : (($true = (!! @ nat @ (^[Y0 : nat]: ((member_nat @ Y0 @ (collect_nat @ X1)) = (X1 @ Y0)))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2295])). 3.24/0.87 thf(f2295,plain,( 3.24/0.87 ( ! [X1 : nat > $o] : ((((^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((member_nat @ Y1 @ (collect_nat @ Y0)) = (Y0 @ Y1))))) @ X1) = $true)) )), 3.24/0.87 inference(pi_clausification,[],[f1073])). 3.24/0.87 thf(f1073,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((member_nat @ Y1 @ (collect_nat @ Y0)) = (Y0 @ Y1)))))))), 3.24/0.87 inference(cnf_transformation,[],[f722])). 3.24/0.87 thf(f722,plain,( 3.24/0.87 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((member_nat @ Y1 @ (collect_nat @ Y0)) = (Y0 @ Y1)))))))), 3.24/0.87 inference(fool_elimination,[],[f721])). 3.24/0.87 thf(f721,plain,( 3.24/0.87 ! [X0 : nat,X1 : nat > $o] : ((member_nat @ X0 @ (collect_nat @ X1)) = (X1 @ X0))), 3.24/0.87 inference(rectify,[],[f214])). 3.24/0.87 thf(f214,axiom,( 3.24/0.87 ! [X20 : nat,X15 : nat > $o] : ((X15 @ X20) = (member_nat @ X20 @ (collect_nat @ X15)))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_58_mem__Collect__eq)). 3.24/0.87 thf(f2242,plain,( 3.24/0.87 ( ! [X2 : nat,X1 : set_nat] : (($true = (((type_M141510067scheme @ nil_Ty61485117scheme) = X1) => (~ (member_nat @ X2 @ X1))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2241])). 3.24/0.87 thf(f2241,plain,( 3.24/0.87 ( ! [X2 : nat,X1 : set_nat] : (($true = ((^[Y0 : nat]: (((type_M141510067scheme @ nil_Ty61485117scheme) = X1) => (~ (member_nat @ Y0 @ X1)))) @ X2))) )), 3.24/0.87 inference(pi_clausification,[],[f2237])). 3.24/0.87 thf(f2237,plain,( 3.24/0.87 ( ! [X1 : set_nat] : (($true = (!! @ nat @ (^[Y0 : nat]: (((type_M141510067scheme @ nil_Ty61485117scheme) = X1) => (~ (member_nat @ Y0 @ X1))))))) )), 3.24/0.87 inference(forward_demodulation,[],[f2236,f1548])). 3.24/0.87 thf(f2236,plain,( 3.24/0.87 ( ! [X1 : set_nat] : (($true = (!! @ nat @ (^[Y0 : nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = X1) => (~ (member_nat @ Y0 @ X1))))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2235])). 3.24/0.87 thf(f2235,plain,( 3.24/0.87 ( ! [X1 : set_nat] : (($true = ((^[Y0 : set_nat]: (!! @ nat @ (^[Y1 : nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y0) => (~ (member_nat @ Y1 @ Y0)))))) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1545])). 3.24/0.87 thf(f1545,plain,( 3.24/0.87 ((!! @ set_nat @ (^[Y0 : set_nat]: (!! @ nat @ (^[Y1 : nat]: (((type_Mirabelle_cod @ type_M405566558_subst) = Y0) => (~ (member_nat @ Y1 @ Y0))))))) = $true)), 3.24/0.87 inference(definition_unfolding,[],[f1211,f1139])). 3.24/0.87 thf(f1211,plain,( 3.24/0.87 ($true = (!! @ set_nat @ (^[Y0 : set_nat]: (!! @ nat @ (^[Y1 : nat]: ((bot_bot_set_nat = Y0) => (~ (member_nat @ Y1 @ Y0))))))))), 3.24/0.87 inference(cnf_transformation,[],[f505])). 3.24/0.87 thf(f505,plain,( 3.24/0.87 ($true = (!! @ set_nat @ (^[Y0 : set_nat]: (!! @ nat @ (^[Y1 : nat]: ((bot_bot_set_nat = Y0) => (~ (member_nat @ Y1 @ Y0))))))))), 3.24/0.87 inference(fool_elimination,[],[f504])). 3.24/0.87 thf(f504,plain,( 3.24/0.87 ! [X0 : nat,X1 : set_nat] : ((bot_bot_set_nat = X1) => ~(member_nat @ X0 @ X1))), 3.24/0.87 inference(rectify,[],[f337])). 3.24/0.87 thf(f337,axiom,( 3.24/0.87 ! [X20 : nat,X37 : set_nat] : ((bot_bot_set_nat = X37) => ~(member_nat @ X20 @ X37))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_67_equals0D)). 3.24/0.87 thf(f3561,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (= @ X0)) = (type_M49385309le_typ @ (type_M405566558_subst @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3560,f2080])). 3.24/0.87 thf(f3560,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (= @ X0)) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3559,f2094])). 3.24/0.87 thf(f3559,plain,( 3.24/0.87 ( ! [X0 : nat] : (($true = ((collect_nat @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))))) )), 3.24/0.87 inference(forward_demodulation,[],[f3558,f2250])). 3.24/0.87 thf(f3558,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (bot_bot_o)))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))) = $true)) )), 3.24/0.87 inference(forward_demodulation,[],[f3557,f2013])). 3.24/0.87 thf(f3557,plain,( 3.24/0.87 ( ! [X0 : nat] : (($true = ((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_M141510067scheme @ nil_Ty61485117scheme))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))))) )), 3.24/0.87 inference(forward_demodulation,[],[f3556,f1548])). 3.24/0.87 thf(f3556,plain,( 3.24/0.87 ( ! [X0 : nat] : ((((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0))) = $true)) )), 3.24/0.87 inference(boolean_simplification,[],[f3555])). 3.24/0.87 thf(f3555,plain,( 3.24/0.87 ( ! [X0 : nat] : ((($true => ((collect_nat @ (sup_sup_nat_o @ (^[Y0 : nat]: (member_nat @ Y0 @ (collect_nat @ (= @ X0)))) @ (^[Y0 : nat]: (member_nat @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0)))) = $true)) )), 3.24/0.87 inference(beta_eta_normalization,[],[f3553])). 3.24/0.87 thf(f3553,plain,( 3.24/0.87 ( ! [X0 : nat] : ((($true => ((^[Y0 : nat]: ((collect_nat @ (sup_sup_nat_o @ (^[Y1 : nat]: (member_nat @ Y1 @ (collect_nat @ (= @ Y0)))) @ (^[Y1 : nat]: (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0)))) @ X0)) = $true)) )), 3.24/0.87 inference(superposition,[],[f2782,f1743])). 3.24/0.87 thf(f1743,plain,( 3.24/0.87 ((!! @ nat @ (^[Y0 : nat]: ((collect_nat @ (sup_sup_nat_o @ (^[Y1 : nat]: (member_nat @ Y1 @ (collect_nat @ (= @ Y0)))) @ (^[Y1 : nat]: (member_nat @ Y1 @ (type_Mirabelle_cod @ type_M405566558_subst))))) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))) = $true)), 3.24/0.87 inference(beta_eta_normalization,[],[f1520])). 3.24/0.87 thf(f1520,plain,( 3.24/0.87 ((!! @ nat @ (^[Y0 : nat]: (((^[Y1 : nat]: ((^[Y2 : set_nat]: ((^[Y3 : set_nat]: (collect_nat @ (sup_sup_nat_o @ (^[Y4 : nat]: (member_nat @ Y4 @ Y2)) @ (^[Y4 : nat]: (member_nat @ Y4 @ Y3))))))) @ (collect_nat @ (^[Y2 : nat]: (Y1 = Y2))))) @ Y0 @ (type_Mirabelle_cod @ type_M405566558_subst)) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))) = $true)), 3.24/0.87 inference(definition_unfolding,[],[f1183,f1431,f1139])). 3.24/0.87 thf(f1183,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.24/0.87 inference(cnf_transformation,[],[f621])). 3.24/0.87 thf(f621,plain,( 3.24/0.87 ($true = (!! @ nat @ (^[Y0 : nat]: ((insert_nat @ Y0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ Y0))))))), 3.24/0.87 inference(fool_elimination,[],[f620])). 3.24/0.87 thf(f620,plain,( 3.24/0.87 ! [X0 : nat] : ((insert_nat @ X0 @ bot_bot_set_nat) = (type_M1050318637scheme @ (type_M876316792e_FVar @ X0)))), 3.24/0.87 inference(rectify,[],[f54])). 3.24/0.87 thf(f54,axiom,( 3.24/0.87 ! [X56 : nat] : ((type_M1050318637scheme @ (type_M876316792e_FVar @ X56)) = (insert_nat @ X56 @ bot_bot_set_nat))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_15_free__tv__type__scheme_Osimps_I1_J)). 3.24/0.87 thf(f3727,plain,( 3.24/0.87 ( ! [X0 : nat,X1 : nat] : (((X0 = X1) = (member_nat @ X1 @ (type_M326705277scheme @ (type_M2048935292e_BVar @ X0))))) )), 3.24/0.87 inference(superposition,[],[f2310,f3686])). 3.24/0.87 thf(f3617,plain,( 3.24/0.87 ((s1 @ x) = (s2 @ x))), 3.24/0.87 inference(equality_proxy_clausification,[],[f3589])). 3.24/0.87 thf(f3589,plain,( 3.24/0.87 ($true = ((s1 @ x) = (s2 @ x)))), 3.24/0.87 inference(boolean_simplification,[],[f3588])). 3.24/0.87 thf(f3588,plain,( 3.24/0.87 ($true = ($true => ((s1 @ x) = (s2 @ x))))), 3.24/0.87 inference(superposition,[],[f2228,f3567])). 3.24/0.87 thf(f3567,plain,( 3.24/0.87 ($true = ((type_M1006385707scheme @ (s1 @ x)) = (type_M1006385707scheme @ (s2 @ x))))), 3.24/0.87 inference(not_proxy_clausification,[],[f3373])). 3.24/0.87 thf(f2228,plain,( 3.24/0.87 ( ! [X2 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : (($true = (((type_M1006385707scheme @ X2) = (type_M1006385707scheme @ X1)) => (X2 = X1)))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2227])). 3.24/0.87 thf(f2227,plain,( 3.24/0.87 ( ! [X2 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : (($true = ((^[Y0 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y0) = (type_M1006385707scheme @ X1)) => (Y0 = X1))) @ X2))) )), 3.24/0.87 inference(pi_clausification,[],[f2226])). 3.24/0.87 thf(f2226,plain,( 3.24/0.87 ( ! [X1 : type_Mirabelle_typ] : (($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y0) = (type_M1006385707scheme @ X1)) => (Y0 = X1)))))) )), 3.24/0.87 inference(beta_eta_normalization,[],[f2225])). 3.24/0.87 thf(f2225,plain,( 3.24/0.87 ( ! [X1 : type_Mirabelle_typ] : (($true = ((^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y1) = (type_M1006385707scheme @ Y0)) => (Y1 = Y0))))) @ X1))) )), 3.24/0.87 inference(pi_clausification,[],[f1226])). 3.24/0.87 thf(f1226,plain,( 3.24/0.87 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y1) = (type_M1006385707scheme @ Y0)) => (Y1 = Y0)))))))), 3.24/0.87 inference(cnf_transformation,[],[f801])). 3.24/0.87 thf(f801,plain,( 3.24/0.87 ($true = (!! @ type_Mirabelle_typ @ (^[Y0 : type_Mirabelle_typ]: (!! @ type_Mirabelle_typ @ (^[Y1 : type_Mirabelle_typ]: (((type_M1006385707scheme @ Y1) = (type_M1006385707scheme @ Y0)) => (Y1 = Y0)))))))), 3.24/0.87 inference(fool_elimination,[],[f800])). 3.24/0.87 thf(f800,plain,( 3.24/0.87 ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : (((type_M1006385707scheme @ X0) = (type_M1006385707scheme @ X1)) => (X0 = X1))), 3.24/0.87 inference(rectify,[],[f106])). 3.24/0.87 thf(f106,axiom,( 3.24/0.87 ! [X69 : type_Mirabelle_typ,X24 : type_Mirabelle_typ] : (((type_M1006385707scheme @ X24) = (type_M1006385707scheme @ X69)) => (X24 = X69))), 3.24/0.87 file('/export/starexec/sandbox2/tmp/tmp.7HxdajdrTR/Vampire---4.8_9674',fact_35_mk__scheme__injective)). 3.24/0.87 % SZS output end Proof for Vampire---4 3.24/0.87 % (9800)------------------------------ 3.24/0.87 % (9800)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.24/0.87 % (9800)Termination reason: Refutation 3.24/0.87 3.24/0.87 % (9800)Memory used [KB]: 10234 3.24/0.87 % (9800)Time elapsed: 0.321 s 3.24/0.87 % (9800)Instructions burned: 842 (million) 3.24/0.87 % (9800)------------------------------ 3.24/0.87 % (9800)------------------------------ 3.24/0.87 % (9781)Success in time 0.452 s 3.24/0.87 % Vampire---4.8 exiting 3.24/0.87 EOF