0.12/0.14	% Problem    : Vampire---4.8_10686 : TPTP v0.0.0. Released v0.0.0.
0.12/0.16	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.37	% Computer : n015.cluster.edu
0.15/0.37	% Model    : x86_64 x86_64
0.15/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory   : 8042.1875MB
0.15/0.37	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 1440
0.15/0.37	% WCLimit    : 180
0.15/0.37	% DateTime   : Mon Jul  3 13:26:10 EDT 2023
0.15/0.37	% CPUTime    : 
0.15/0.37	This is a THF_ problem
0.15/0.38	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/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686 -m 12000  -t 180
0.15/0.40	% (10924)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.15/0.40	% (10923)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.15/0.40	% (10926)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.15/0.40	% (10925)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.15/0.40	% (10927)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.15/0.40	% (10929)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.15/0.40	% (10928)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.15/0.40	% (10930)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.15/0.40	% (10929)Instruction limit reached!
0.15/0.40	% (10929)------------------------------
0.15/0.40	% (10929)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (10929)Termination reason: Unknown
0.15/0.40	% (10929)Termination phase: shuffling
0.15/0.40	
0.15/0.40	% (10929)Memory used [KB]: 1151
0.15/0.40	% (10929)Time elapsed: 0.005 s
0.15/0.40	% (10929)Instructions burned: 5 (million)
0.15/0.40	% (10929)------------------------------
0.15/0.40	% (10929)------------------------------
0.15/0.41	% (10927)Instruction limit reached!
0.15/0.41	% (10927)------------------------------
0.15/0.41	% (10927)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.41	% (10927)Termination reason: Unknown
0.15/0.41	% (10927)Termination phase: Property scanning
0.15/0.41	
0.15/0.41	% (10927)Memory used [KB]: 1279
0.15/0.41	% (10927)Time elapsed: 0.011 s
0.15/0.41	% (10927)Instructions burned: 18 (million)
0.15/0.41	% (10927)------------------------------
0.15/0.41	% (10927)------------------------------
0.23/0.42	% (10925)Instruction limit reached!
0.23/0.42	% (10925)------------------------------
0.23/0.42	% (10925)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.42	% (10925)Termination reason: Unknown
0.23/0.42	% (10925)Termination phase: Property scanning
0.23/0.42	
0.23/0.42	% (10925)Memory used [KB]: 1279
0.23/0.42	% (10925)Time elapsed: 0.018 s
0.23/0.42	% (10925)Instructions burned: 34 (million)
0.23/0.42	% (10925)------------------------------
0.23/0.42	% (10925)------------------------------
0.23/0.42	% (10924)Instruction limit reached!
0.23/0.42	% (10924)------------------------------
0.23/0.42	% (10924)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.42	% (10924)Termination reason: Unknown
0.23/0.42	% (10924)Termination phase: Property scanning
0.23/0.42	
0.23/0.42	% (10924)Memory used [KB]: 1279
0.23/0.42	% (10924)Time elapsed: 0.018 s
0.23/0.42	% (10924)Instructions burned: 36 (million)
0.23/0.42	% (10924)------------------------------
0.23/0.42	% (10924)------------------------------
0.23/0.42	% (10930)Refutation not found, incomplete strategy
0.23/0.42	% (10930)------------------------------
0.23/0.42	% (10930)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.42	% (10930)Termination reason: Refutation not found, incomplete strategy
0.23/0.42	
0.23/0.42	
0.23/0.42	% (10930)Memory used [KB]: 5756
0.23/0.42	% (10930)Time elapsed: 0.018 s
0.23/0.42	% (10930)Instructions burned: 31 (million)
0.23/0.42	% (10930)------------------------------
0.23/0.42	% (10930)------------------------------
0.23/0.42	% (10931)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)
0.23/0.42	% (10926)Refutation not found, incomplete strategy
0.23/0.42	% (10926)------------------------------
0.23/0.42	% (10926)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.42	% (10926)Termination reason: Refutation not found, incomplete strategy
0.23/0.42	
0.23/0.42	
0.23/0.42	% (10926)Memory used [KB]: 5756
0.23/0.42	% (10926)Time elapsed: 0.024 s
0.23/0.42	% (10926)Instructions burned: 42 (million)
0.23/0.42	% (10926)------------------------------
0.23/0.42	% (10926)------------------------------
0.23/0.42	% (10932)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.23/0.43	% (10932)Instruction limit reached!
0.23/0.43	% (10932)------------------------------
0.23/0.43	% (10932)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.43	% (10932)Termination reason: Unknown
0.23/0.43	% (10932)Termination phase: shuffling
0.23/0.43	
0.23/0.43	% (10932)Memory used [KB]: 1151
0.23/0.43	% (10932)Time elapsed: 0.006 s
0.23/0.43	% (10932)Instructions burned: 8 (million)
0.23/0.43	% (10932)------------------------------
0.23/0.43	% (10932)------------------------------
0.23/0.43	% (10931)Instruction limit reached!
0.23/0.43	% (10931)------------------------------
0.23/0.43	% (10931)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.43	% (10931)Termination reason: Unknown
0.23/0.43	% (10931)Termination phase: Preprocessing 3
0.23/0.43	
0.23/0.43	% (10931)Memory used [KB]: 1279
0.23/0.43	% (10931)Time elapsed: 0.013 s
0.23/0.43	% (10931)Instructions burned: 22 (million)
0.23/0.43	% (10931)------------------------------
0.23/0.43	% (10931)------------------------------
0.23/0.43	% (10933)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)
0.23/0.43	% (10934)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)
0.23/0.43	% (10935)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)
0.23/0.43	% (10928)Instruction limit reached!
0.23/0.43	% (10928)------------------------------
0.23/0.43	% (10928)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.43	% (10928)Termination reason: Unknown
0.23/0.43	% (10928)Termination phase: Saturation
0.23/0.43	
0.23/0.43	% (10928)Memory used [KB]: 6140
0.23/0.43	% (10928)Time elapsed: 0.035 s
0.23/0.43	% (10928)Instructions burned: 75 (million)
0.23/0.43	% (10928)------------------------------
0.23/0.43	% (10928)------------------------------
0.23/0.44	% (10935)Instruction limit reached!
0.23/0.44	% (10935)------------------------------
0.23/0.44	% (10935)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.44	% (10935)Termination reason: Unknown
0.23/0.44	% (10935)Termination phase: shuffling
0.23/0.44	
0.23/0.44	% (10935)Memory used [KB]: 1151
0.23/0.44	% (10935)Time elapsed: 0.007 s
0.23/0.44	% (10935)Instructions burned: 10 (million)
0.23/0.44	% (10935)------------------------------
0.23/0.44	% (10935)------------------------------
0.23/0.44	% (10936)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)
0.23/0.44	% (10937)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)
0.23/0.44	% (10938)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.23/0.45	% (10923)Instruction limit reached!
0.23/0.45	% (10923)------------------------------
0.23/0.45	% (10923)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.45	% (10923)Termination reason: Unknown
0.23/0.45	% (10923)Termination phase: Saturation
0.23/0.45	
0.23/0.45	% (10923)Memory used [KB]: 6268
0.23/0.45	% (10923)Time elapsed: 0.048 s
0.23/0.45	% (10923)Instructions burned: 97 (million)
0.23/0.45	% (10923)------------------------------
0.23/0.45	% (10923)------------------------------
0.23/0.45	% (10939)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.23/0.45	% (10940)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi)
0.23/0.45	% (10940)Instruction limit reached!
0.23/0.45	% (10940)------------------------------
0.23/0.45	% (10940)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.45	% (10940)Termination reason: Unknown
0.23/0.45	% (10940)Termination phase: shuffling
0.23/0.45	
0.23/0.45	% (10940)Memory used [KB]: 1023
0.23/0.45	% (10940)Time elapsed: 0.003 s
0.23/0.45	% (10940)Instructions burned: 2 (million)
0.23/0.45	% (10940)------------------------------
0.23/0.45	% (10940)------------------------------
0.23/0.46	% (10939)Instruction limit reached!
0.23/0.46	% (10939)------------------------------
0.23/0.46	% (10939)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.46	% (10939)Termination reason: Unknown
0.23/0.46	% (10939)Termination phase: Property scanning
0.23/0.46	
0.23/0.46	% (10939)Memory used [KB]: 1151
0.23/0.46	% (10939)Time elapsed: 0.010 s
0.23/0.46	% (10939)Instructions burned: 15 (million)
0.23/0.46	% (10939)------------------------------
0.23/0.46	% (10939)------------------------------
0.23/0.46	% (10936)Refutation not found, incomplete strategy
0.23/0.46	% (10936)------------------------------
0.23/0.46	% (10936)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.46	% (10936)Termination reason: Refutation not found, incomplete strategy
0.23/0.46	
0.23/0.46	
0.23/0.46	% (10936)Memory used [KB]: 5756
0.23/0.46	% (10936)Time elapsed: 0.025 s
0.23/0.46	% (10936)Instructions burned: 44 (million)
0.23/0.46	% (10936)------------------------------
0.23/0.46	% (10936)------------------------------
0.23/0.46	% (10941)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 (1799ds/1041Mi)
0.23/0.47	% (10934)Instruction limit reached!
0.23/0.47	% (10934)------------------------------
0.23/0.47	% (10934)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.47	% (10934)Termination reason: Unknown
0.23/0.47	% (10934)Termination phase: Saturation
0.23/0.47	
0.23/0.47	% (10934)Memory used [KB]: 6140
0.23/0.47	% (10934)Time elapsed: 0.036 s
0.23/0.47	% (10934)Instructions burned: 71 (million)
0.23/0.47	% (10934)------------------------------
0.23/0.47	% (10934)------------------------------
0.23/0.47	% (10945)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 (1799ds/140Mi)
0.23/0.47	% (10943)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 (1799ds/11Mi)
0.23/0.47	% (10938)Instruction limit reached!
0.23/0.47	% (10938)------------------------------
0.23/0.47	% (10938)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.47	% (10938)Termination reason: Unknown
0.23/0.47	% (10938)Termination phase: Saturation
0.23/0.47	
0.23/0.47	% (10938)Memory used [KB]: 6012
0.23/0.47	% (10938)Time elapsed: 0.032 s
0.23/0.47	% (10938)Instructions burned: 61 (million)
0.23/0.47	% (10938)------------------------------
0.23/0.47	% (10938)------------------------------
0.23/0.48	% (10948)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 (1799ds/26Mi)
0.23/0.48	% (10943)Instruction limit reached!
0.23/0.48	% (10943)------------------------------
0.23/0.48	% (10943)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.48	% (10943)Termination reason: Unknown
0.23/0.48	% (10943)Termination phase: Property scanning
0.23/0.48	
0.23/0.48	% (10943)Memory used [KB]: 1151
0.23/0.48	% (10943)Time elapsed: 0.008 s
0.23/0.48	% (10943)Instructions burned: 11 (million)
0.23/0.48	% (10943)------------------------------
0.23/0.48	% (10943)------------------------------
0.23/0.48	% (10950)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 (1799ds/56Mi)
0.23/0.49	% (10945)Refutation not found, incomplete strategy
0.23/0.49	% (10945)------------------------------
0.23/0.49	% (10945)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.49	% (10945)Termination reason: Refutation not found, incomplete strategy
0.23/0.49	
0.23/0.49	
0.23/0.49	% (10945)Memory used [KB]: 5756
0.23/0.49	% (10945)Time elapsed: 0.018 s
0.23/0.49	% (10945)Instructions burned: 30 (million)
0.23/0.49	% (10945)------------------------------
0.23/0.49	% (10945)------------------------------
0.23/0.49	% (10952)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 (1799ds/275Mi)
0.23/0.49	% (10948)Instruction limit reached!
0.23/0.49	% (10948)------------------------------
0.23/0.49	% (10948)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.49	% (10948)Termination reason: Unknown
0.23/0.49	% (10948)Termination phase: Property scanning
0.23/0.49	
0.23/0.49	% (10948)Memory used [KB]: 1279
0.23/0.49	% (10948)Time elapsed: 0.014 s
0.23/0.49	% (10948)Instructions burned: 26 (million)
0.23/0.49	% (10948)------------------------------
0.23/0.49	% (10948)------------------------------
0.23/0.50	% (10954)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 (1799ds/3Mi)
0.23/0.50	% (10954)Instruction limit reached!
0.23/0.50	% (10954)------------------------------
0.23/0.50	% (10954)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.50	% (10954)Termination reason: Unknown
0.23/0.50	% (10954)Termination phase: shuffling
0.23/0.50	
0.23/0.50	% (10954)Memory used [KB]: 1023
0.23/0.50	% (10954)Time elapsed: 0.003 s
0.23/0.50	% (10954)Instructions burned: 3 (million)
0.23/0.50	% (10954)------------------------------
0.23/0.50	% (10954)------------------------------
0.23/0.50	% (10952)Refutation not found, incomplete strategy
0.23/0.50	% (10952)------------------------------
0.23/0.50	% (10952)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.50	% (10952)Termination reason: Refutation not found, incomplete strategy
0.23/0.50	
0.23/0.50	
0.23/0.50	% (10952)Memory used [KB]: 5756
0.23/0.50	% (10952)Time elapsed: 0.015 s
0.23/0.50	% (10952)Instructions burned: 23 (million)
0.23/0.50	% (10952)------------------------------
0.23/0.50	% (10952)------------------------------
0.23/0.50	% (10956)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 (1799ds/19Mi)
0.23/0.50	% (10957)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 (1799ds/44Mi)
0.23/0.51	% (10950)Instruction limit reached!
0.23/0.51	% (10950)------------------------------
0.23/0.51	% (10950)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.51	% (10950)Termination reason: Unknown
0.23/0.51	% (10950)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (10950)Memory used [KB]: 1407
0.23/0.51	% (10950)Time elapsed: 0.027 s
0.23/0.51	% (10950)Instructions burned: 56 (million)
0.23/0.51	% (10950)------------------------------
0.23/0.51	% (10950)------------------------------
0.23/0.51	% (10937)Instruction limit reached!
0.23/0.51	% (10937)------------------------------
0.23/0.51	% (10937)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.51	% (10937)Termination reason: Unknown
0.23/0.51	% (10937)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (10937)Memory used [KB]: 6524
0.23/0.51	% (10937)Time elapsed: 0.067 s
0.23/0.51	% (10937)Instructions burned: 129 (million)
0.23/0.51	% (10937)------------------------------
0.23/0.51	% (10937)------------------------------
0.23/0.51	% (10956)Instruction limit reached!
0.23/0.51	% (10956)------------------------------
0.23/0.51	% (10956)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.51	% (10956)Termination reason: Unknown
0.23/0.51	% (10956)Termination phase: Property scanning
0.23/0.51	
0.23/0.51	% (10956)Memory used [KB]: 1151
0.23/0.51	% (10956)Time elapsed: 0.007 s
0.23/0.51	% (10956)Instructions burned: 19 (million)
0.23/0.51	% (10956)------------------------------
0.23/0.51	% (10956)------------------------------
0.23/0.51	% (10961)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi)
0.23/0.52	% (10965)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 (1798ds/62Mi)
0.23/0.52	% (10971)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 (1798ds/238Mi)
0.23/0.52	% (10967)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 (1798ds/105Mi)
0.23/0.52	% (10970)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
0.23/0.52	% (10970)Instruction limit reached!
0.23/0.52	% (10970)------------------------------
0.23/0.52	% (10970)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.52	% (10970)Termination reason: Unknown
0.23/0.52	% (10970)Termination phase: shuffling
0.23/0.52	
0.23/0.52	% (10970)Memory used [KB]: 1023
0.23/0.52	% (10970)Time elapsed: 0.003 s
0.23/0.52	% (10970)Instructions burned: 3 (million)
0.23/0.52	% (10970)------------------------------
0.23/0.52	% (10970)------------------------------
0.23/0.52	% (10957)Instruction limit reached!
0.23/0.52	% (10957)------------------------------
0.23/0.52	% (10957)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.52	% (10957)Termination reason: Unknown
0.23/0.52	% (10957)Termination phase: Saturation
0.23/0.52	
0.23/0.52	% (10957)Memory used [KB]: 1407
0.23/0.52	% (10957)Time elapsed: 0.022 s
0.23/0.52	% (10957)Instructions burned: 46 (million)
0.23/0.52	% (10957)------------------------------
0.23/0.52	% (10957)------------------------------
0.23/0.53	% (10941)First to succeed.
0.23/0.53	% (10941)Refutation found. Thanks to Tanya!
0.23/0.53	% SZS status Theorem for Vampire---4
0.23/0.53	% SZS output start Proof for Vampire---4
0.23/0.53	thf(type_def_5, type, mu: $tType).
0.23/0.53	thf(func_def_0, type, mu: $tType).
0.23/0.53	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.23/0.53	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.53	thf(func_def_15, type, mtrue: $i > $o).
0.23/0.53	thf(func_def_16, type, mfalse: $i > $o).
0.23/0.53	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.53	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.23/0.53	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.23/0.53	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.23/0.53	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.23/0.53	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.23/0.53	thf(func_def_33, type, r1: $i > $i > $o).
0.23/0.53	thf(func_def_34, type, r2: $i > $i > $o).
0.23/0.53	thf(func_def_35, type, r3: $i > $i > $o).
0.23/0.53	thf(func_def_36, type, r4: $i > $i > $o).
0.23/0.53	thf(func_def_37, type, r5: $i > $i > $o).
0.23/0.53	thf(func_def_38, type, john: mu).
0.23/0.53	thf(func_def_39, type, tom: mu).
0.23/0.53	thf(func_def_40, type, peter: mu).
0.23/0.53	thf(func_def_41, type, mike: mu).
0.23/0.53	thf(func_def_42, type, good_in_maths: mu > $i > $o).
0.23/0.53	thf(func_def_43, type, maths_teacher: mu > $i > $o).
0.23/0.53	thf(func_def_44, type, mathematician: mu > $i > $o).
0.23/0.53	thf(func_def_45, type, maths_student: mu > $i > $o).
0.23/0.53	thf(func_def_46, type, good_in_physics: mu > $i > $o).
0.23/0.53	thf(func_def_47, type, physics_student: mu > $i > $o).
0.23/0.53	thf(func_def_64, type, ph1: !>[X0: $tType]:(X0)).
0.23/0.53	thf(func_def_66, type, sK3: mu > $i).
0.23/0.53	thf(f703,plain,(
0.23/0.53	  $false),
0.23/0.53	  inference(trivial_inequality_removal,[],[f695])).
0.23/0.53	thf(f695,plain,(
0.23/0.53	  ($false = $true)),
0.23/0.53	  inference(superposition,[],[f642,f566])).
0.23/0.53	thf(f566,plain,(
0.23/0.53	  ( ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0)))) = $false)) )),
0.23/0.53	  inference(not_proxy_clausification,[],[f565])).
0.23/0.53	thf(f565,plain,(
0.23/0.53	  ( ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0))))) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f564])).
0.23/0.53	thf(f564,plain,(
0.23/0.53	  ( ! [X1 : mu] : ((((^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))) @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f561])).
0.23/0.53	thf(f561,plain,(
0.23/0.53	  ((!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1))))))) = $true)),
0.23/0.53	  inference(not_proxy_clausification,[],[f560])).
0.23/0.53	thf(f560,plain,(
0.23/0.53	  ((~ (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))))) = $false)),
0.23/0.53	  inference(beta_eta_normalization,[],[f559])).
0.23/0.53	thf(f559,plain,(
0.23/0.53	  (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))) @ sK2) = $false)),
0.23/0.53	  inference(sigma_clausification,[],[f556])).
0.23/0.53	thf(f556,plain,(
0.23/0.53	  ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))))))))) = $false)),
0.23/0.53	  inference(not_proxy_clausification,[],[f471])).
0.23/0.53	thf(f471,plain,(
0.23/0.53	  ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))))) = $true)),
0.23/0.53	  inference(beta_eta_normalization,[],[f425])).
0.23/0.53	thf(f425,plain,(
0.23/0.53	  ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(definition_unfolding,[],[f327,f374,f397,f323])).
0.23/0.53	thf(f323,plain,(
0.23/0.53	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f125])).
0.23/0.53	thf(f125,plain,(
0.23/0.53	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.23/0.53	  inference(fool_elimination,[],[f124])).
0.23/0.53	thf(f124,plain,(
0.23/0.53	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
0.23/0.53	  inference(rectify,[],[f16])).
0.23/0.53	thf(f16,axiom,(
0.23/0.53	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mbox)).
0.23/0.53	thf(f397,plain,(
0.23/0.53	  (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
0.23/0.53	  inference(definition_unfolding,[],[f361,f367,f318,f367])).
0.23/0.53	thf(f318,plain,(
0.23/0.53	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.53	  inference(cnf_transformation,[],[f137])).
0.23/0.53	thf(f137,plain,(
0.23/0.53	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.53	  inference(fool_elimination,[],[f136])).
0.23/0.53	thf(f136,plain,(
0.23/0.53	  ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
0.23/0.53	  inference(rectify,[],[f10])).
0.23/0.53	thf(f10,axiom,(
0.23/0.53	  ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mforall_ind)).
0.23/0.53	thf(f367,plain,(
0.23/0.53	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.23/0.53	  inference(cnf_transformation,[],[f241])).
0.23/0.53	thf(f241,plain,(
0.23/0.53	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.23/0.53	  inference(fool_elimination,[],[f240])).
0.23/0.53	thf(f240,plain,(
0.23/0.53	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
0.23/0.53	  inference(rectify,[],[f3])).
0.23/0.53	thf(f3,axiom,(
0.23/0.53	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mnot)).
0.23/0.53	thf(f361,plain,(
0.23/0.53	  (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
0.23/0.53	  inference(cnf_transformation,[],[f247])).
0.23/0.53	thf(f247,plain,(
0.23/0.53	  (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
0.23/0.53	  inference(fool_elimination,[],[f246])).
0.23/0.53	thf(f246,plain,(
0.23/0.53	  ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
0.23/0.53	  inference(rectify,[],[f12])).
0.23/0.53	thf(f12,axiom,(
0.23/0.53	  ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mexists_ind)).
0.23/0.53	thf(f374,plain,(
0.23/0.53	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.53	  inference(cnf_transformation,[],[f253])).
0.23/0.53	thf(f253,plain,(
0.23/0.53	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.53	  inference(fool_elimination,[],[f252])).
0.23/0.53	thf(f252,plain,(
0.23/0.53	  ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
0.23/0.53	  inference(rectify,[],[f28])).
0.23/0.53	thf(f28,axiom,(
0.23/0.53	  ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mvalid)).
0.23/0.53	thf(f327,plain,(
0.23/0.53	  ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(cnf_transformation,[],[f219])).
0.23/0.53	thf(f219,plain,(
0.23/0.53	  ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(fool_elimination,[],[f218])).
0.23/0.53	thf(f218,plain,(
0.23/0.53	  ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
0.23/0.53	  inference(rectify,[],[f89])).
0.23/0.53	thf(f89,negated_conjecture,(
0.23/0.53	  ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
0.23/0.53	  inference(negated_conjecture,[],[f88])).
0.23/0.53	thf(f88,conjecture,(
0.23/0.53	  (mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',conj)).
0.23/0.53	thf(f642,plain,(
0.23/0.53	  ( ! [X0 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) = $true)) )),
0.23/0.53	  inference(boolean_simplification,[],[f641])).
0.23/0.53	thf(f641,plain,(
0.23/0.53	  ( ! [X0 : $i] : ((($false | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))) = $true)) )),
0.23/0.53	  inference(boolean_simplification,[],[f639])).
0.23/0.53	thf(f639,plain,(
0.23/0.53	  ( ! [X0 : $i] : ((((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))) = $true)) )),
0.23/0.53	  inference(superposition,[],[f630,f592])).
0.23/0.53	thf(f592,plain,(
0.23/0.53	  ( ! [X0 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) = $true)) )),
0.23/0.53	  inference(boolean_simplification,[],[f591])).
0.23/0.53	thf(f591,plain,(
0.23/0.53	  ( ! [X0 : $i] : ((($false | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))) = $true)) )),
0.23/0.53	  inference(boolean_simplification,[],[f590])).
0.23/0.53	thf(f590,plain,(
0.23/0.53	  ( ! [X0 : $i] : ((((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))) = $true)) )),
0.23/0.53	  inference(superposition,[],[f586,f540])).
0.23/0.53	thf(f540,plain,(
0.23/0.53	  ( ! [X1 : $i] : (((maths_teacher @ john @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f526])).
0.23/0.53	thf(f526,plain,(
0.23/0.53	  ((!! @ $i @ (maths_teacher @ john)) = $true)),
0.23/0.53	  inference(beta_eta_normalization,[],[f416])).
0.23/0.53	thf(f416,plain,(
0.23/0.53	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (maths_teacher @ john)) = $true)),
0.23/0.53	  inference(definition_unfolding,[],[f315,f374])).
0.23/0.53	thf(f315,plain,(
0.23/0.53	  ((mvalid @ (maths_teacher @ john)) = $true)),
0.23/0.53	  inference(cnf_transformation,[],[f209])).
0.23/0.53	thf(f209,plain,(
0.23/0.53	  ((mvalid @ (maths_teacher @ john)) = $true)),
0.23/0.53	  inference(fool_elimination,[],[f208])).
0.23/0.53	thf(f208,plain,(
0.23/0.53	  (mvalid @ (maths_teacher @ john))),
0.23/0.53	  inference(rectify,[],[f40])).
0.23/0.53	thf(f40,axiom,(
0.23/0.53	  (mvalid @ (maths_teacher @ john))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',axiom_a6)).
0.23/0.53	thf(f586,plain,(
0.23/0.53	  ( ! [X2 : mu,X1 : $i] : ((((~ (maths_teacher @ X2 @ X1)) | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (good_in_maths @ X2 @ Y0))))) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f585])).
0.23/0.53	thf(f585,plain,(
0.23/0.53	  ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))) @ X2) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f584])).
0.23/0.53	thf(f584,plain,(
0.23/0.53	  ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1))))))) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f583])).
0.23/0.53	thf(f583,plain,(
0.23/0.53	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))))))) @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f491])).
0.23/0.53	thf(f491,plain,(
0.23/0.53	  ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))) = $true)),
0.23/0.53	  inference(beta_eta_normalization,[],[f434])).
0.23/0.53	thf(f434,plain,(
0.23/0.53	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (maths_teacher @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(definition_unfolding,[],[f341,f374,f318,f393,f323])).
0.23/0.53	thf(f393,plain,(
0.23/0.53	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
0.23/0.53	  inference(definition_unfolding,[],[f297,f384,f367])).
0.23/0.53	thf(f384,plain,(
0.23/0.53	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.23/0.53	  inference(cnf_transformation,[],[f166])).
0.23/0.53	thf(f166,plain,(
0.23/0.53	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.23/0.53	  inference(fool_elimination,[],[f165])).
0.23/0.53	thf(f165,plain,(
0.23/0.53	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
0.23/0.53	  inference(rectify,[],[f4])).
0.23/0.53	thf(f4,axiom,(
0.23/0.53	  ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mor)).
0.23/0.53	thf(f297,plain,(
0.23/0.53	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.23/0.53	  inference(cnf_transformation,[],[f189])).
0.23/0.53	thf(f189,plain,(
0.23/0.53	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.23/0.53	  inference(fool_elimination,[],[f188])).
0.23/0.53	thf(f188,plain,(
0.23/0.53	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
0.23/0.53	  inference(rectify,[],[f6])).
0.23/0.53	thf(f6,axiom,(
0.23/0.53	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mimplies)).
0.23/0.53	thf(f341,plain,(
0.23/0.53	  ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(cnf_transformation,[],[f251])).
0.23/0.53	thf(f251,plain,(
0.23/0.53	  ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))) = $true)),
0.23/0.53	  inference(fool_elimination,[],[f250])).
0.23/0.53	thf(f250,plain,(
0.23/0.53	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
0.23/0.53	  inference(rectify,[],[f49])).
0.23/0.53	thf(f49,axiom,(
0.23/0.53	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',axiom_r1)).
0.23/0.53	thf(f630,plain,(
0.23/0.53	  ( ! [X2 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f629])).
0.23/0.53	thf(f629,plain,(
0.23/0.53	  ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f624])).
0.23/0.53	thf(f624,plain,(
0.23/0.53	  ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) )),
0.23/0.53	  inference(beta_eta_normalization,[],[f623])).
0.23/0.53	thf(f623,plain,(
0.23/0.53	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true)) )),
0.23/0.53	  inference(pi_clausification,[],[f475])).
0.23/0.53	thf(f475,plain,(
0.23/0.53	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $true)),
0.23/0.53	  inference(beta_eta_normalization,[],[f460])).
0.23/0.53	thf(f460,plain,(
0.23/0.53	  (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0))))) = $true)),
0.23/0.53	  inference(definition_unfolding,[],[f380,f374,f386,f393,f323,f323])).
0.23/0.53	thf(f386,plain,(
0.23/0.53	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.53	  inference(cnf_transformation,[],[f259])).
0.23/0.53	thf(f259,plain,(
0.23/0.53	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.53	  inference(fool_elimination,[],[f258])).
0.23/0.53	thf(f258,plain,(
0.23/0.53	  (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
0.23/0.53	  inference(rectify,[],[f11])).
0.23/0.53	thf(f11,axiom,(
0.23/0.53	  (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',mforall_prop)).
0.23/0.53	thf(f380,plain,(
0.23/0.53	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r2 @ Y0))))) = $true)),
0.23/0.53	  inference(cnf_transformation,[],[f149])).
0.23/0.53	thf(f149,plain,(
0.23/0.53	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r2 @ Y0))))) = $true)),
0.23/0.53	  inference(fool_elimination,[],[f148])).
0.23/0.53	thf(f148,plain,(
0.23/0.53	  (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r4 @ X0) @ (mbox @ r2 @ X0)))))),
0.23/0.53	  inference(rectify,[],[f45])).
0.23/0.53	thf(f45,axiom,(
0.23/0.53	  (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r4 @ X3) @ (mbox @ r2 @ X3)))))),
0.23/0.53	  file('/export/starexec/sandbox/tmp/tmp.58pcgFVfBt/Vampire---4.8_10686',axiom_I_for_r4_r2)).
0.23/0.53	% SZS output end Proof for Vampire---4
0.23/0.53	% (10941)------------------------------
0.23/0.53	% (10941)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.53	% (10941)Termination reason: Refutation
0.23/0.53	
0.23/0.53	% (10941)Memory used [KB]: 6524
0.23/0.53	% (10941)Time elapsed: 0.070 s
0.23/0.53	% (10941)Instructions burned: 139 (million)
0.23/0.53	% (10941)------------------------------
0.23/0.53	% (10941)------------------------------
0.23/0.53	% (10922)Success in time 0.136 s
0.23/0.53	% Vampire---4.8 exiting
0.23/0.53	EOF