TSTP Solution File: LCL603^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL603^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:16:10 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL603^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 02:29:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (19643)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37 % (19638)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.37 % (19643)Instruction limit reached!
% 0.13/0.37 % (19643)------------------------------
% 0.13/0.37 % (19643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (19643)Termination reason: Unknown
% 0.13/0.37 % (19643)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (19643)Memory used [KB]: 1023
% 0.13/0.37 % (19643)Time elapsed: 0.004 s
% 0.13/0.37 % (19643)Instructions burned: 3 (million)
% 0.13/0.37 % (19643)------------------------------
% 0.13/0.37 % (19643)------------------------------
% 0.13/0.37 % (19642)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (19640)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (19636)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (19637)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.38 % (19641)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.38 % (19640)Instruction limit reached!
% 0.13/0.38 % (19640)------------------------------
% 0.13/0.38 % (19640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19640)Termination reason: Unknown
% 0.13/0.38 % (19640)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (19640)Memory used [KB]: 1023
% 0.13/0.38 % (19640)Time elapsed: 0.003 s
% 0.13/0.38 % (19640)Instructions burned: 2 (million)
% 0.13/0.38 % (19640)------------------------------
% 0.13/0.38 % (19640)------------------------------
% 0.13/0.38 % (19637)Instruction limit reached!
% 0.13/0.38 % (19637)------------------------------
% 0.13/0.38 % (19637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19637)Termination reason: Unknown
% 0.13/0.38 % (19637)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (19637)Memory used [KB]: 1023
% 0.13/0.38 % (19637)Time elapsed: 0.004 s
% 0.13/0.38 % (19637)Instructions burned: 4 (million)
% 0.13/0.38 % (19637)------------------------------
% 0.13/0.38 % (19637)------------------------------
% 0.13/0.38 % (19639)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (19638)Instruction limit reached!
% 0.13/0.38 % (19638)------------------------------
% 0.13/0.38 % (19638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19638)Termination reason: Unknown
% 0.13/0.38 % (19638)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (19638)Memory used [KB]: 5756
% 0.13/0.38 % (19638)Time elapsed: 0.016 s
% 0.13/0.38 % (19638)Instructions burned: 29 (million)
% 0.13/0.38 % (19638)------------------------------
% 0.13/0.38 % (19638)------------------------------
% 0.13/0.38 % (19639)Instruction limit reached!
% 0.13/0.38 % (19639)------------------------------
% 0.13/0.38 % (19639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19639)Termination reason: Unknown
% 0.13/0.38 % (19639)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (19639)Memory used [KB]: 1023
% 0.13/0.38 % (19639)Time elapsed: 0.003 s
% 0.13/0.38 % (19639)Instructions burned: 2 (million)
% 0.13/0.38 % (19639)------------------------------
% 0.13/0.38 % (19639)------------------------------
% 0.13/0.38 % (19642)Instruction limit reached!
% 0.13/0.38 % (19642)------------------------------
% 0.13/0.38 % (19642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19642)Termination reason: Unknown
% 0.13/0.38 % (19642)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (19644)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.38 % (19642)Memory used [KB]: 5756
% 0.13/0.38 % (19642)Time elapsed: 0.011 s
% 0.13/0.38 % (19642)Instructions burned: 19 (million)
% 0.13/0.38 % (19642)------------------------------
% 0.13/0.38 % (19642)------------------------------
% 0.13/0.38 % (19641)Refutation not found, incomplete strategy
% 0.13/0.38 % (19641)------------------------------
% 0.13/0.38 % (19641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (19641)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (19641)Memory used [KB]: 5628
% 0.13/0.38 % (19641)Time elapsed: 0.008 s
% 0.13/0.38 % (19641)Instructions burned: 9 (million)
% 0.13/0.38 % (19641)------------------------------
% 0.13/0.38 % (19641)------------------------------
% 0.13/0.39 % (19645)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.39 % (19647)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.13/0.39 % (19646)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.40 % (19648)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.40 % (19646)Instruction limit reached!
% 0.13/0.40 % (19646)------------------------------
% 0.13/0.40 % (19646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (19646)Termination reason: Unknown
% 0.13/0.40 % (19646)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (19646)Memory used [KB]: 1023
% 0.13/0.40 % (19646)Time elapsed: 0.004 s
% 0.13/0.40 % (19646)Instructions burned: 4 (million)
% 0.13/0.40 % (19646)------------------------------
% 0.13/0.40 % (19646)------------------------------
% 0.13/0.40 % (19645)Instruction limit reached!
% 0.13/0.40 % (19645)------------------------------
% 0.13/0.40 % (19645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (19645)Termination reason: Unknown
% 0.13/0.40 % (19645)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (19645)Memory used [KB]: 5628
% 0.13/0.40 % (19645)Time elapsed: 0.009 s
% 0.13/0.40 % (19645)Instructions burned: 15 (million)
% 0.13/0.40 % (19645)------------------------------
% 0.13/0.40 % (19645)------------------------------
% 0.13/0.40 % (19650)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.40 % (19648)Instruction limit reached!
% 0.13/0.40 % (19648)------------------------------
% 0.13/0.40 % (19648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (19648)Termination reason: Unknown
% 0.13/0.40 % (19648)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (19648)Memory used [KB]: 1151
% 0.13/0.40 % (19648)Time elapsed: 0.006 s
% 0.13/0.40 % (19648)Instructions burned: 8 (million)
% 0.13/0.40 % (19648)------------------------------
% 0.13/0.40 % (19648)------------------------------
% 0.13/0.40 % (19650)Instruction limit reached!
% 0.13/0.40 % (19650)------------------------------
% 0.13/0.40 % (19650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (19650)Termination reason: Unknown
% 0.13/0.40 % (19650)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (19650)Memory used [KB]: 1023
% 0.13/0.40 % (19650)Time elapsed: 0.003 s
% 0.13/0.40 % (19650)Instructions burned: 3 (million)
% 0.13/0.40 % (19650)------------------------------
% 0.13/0.40 % (19650)------------------------------
% 0.13/0.41 % (19644)Instruction limit reached!
% 0.13/0.41 % (19644)------------------------------
% 0.13/0.41 % (19644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (19644)Termination reason: Unknown
% 0.13/0.41 % (19644)Termination phase: Saturation
% 0.13/0.41
% 0.13/0.41 % (19644)Memory used [KB]: 6012
% 0.13/0.41 % (19644)Time elapsed: 0.022 s
% 0.13/0.41 % (19644)Instructions burned: 37 (million)
% 0.13/0.41 % (19644)------------------------------
% 0.13/0.41 % (19644)------------------------------
% 0.13/0.41 % (19649)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.41 % (19651)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.41 % (19651)Instruction limit reached!
% 0.13/0.41 % (19651)------------------------------
% 0.13/0.41 % (19651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (19651)Termination reason: Unknown
% 0.13/0.41 % (19651)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (19651)Memory used [KB]: 1023
% 0.13/0.41 % (19651)Time elapsed: 0.004 s
% 0.13/0.41 % (19651)Instructions burned: 4 (million)
% 0.13/0.41 % (19651)------------------------------
% 0.13/0.41 % (19651)------------------------------
% 0.19/0.41 % (19654)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.41 % (19653)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.41 % (19654)Instruction limit reached!
% 0.19/0.41 % (19654)------------------------------
% 0.19/0.41 % (19654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (19654)Termination reason: Unknown
% 0.19/0.41 % (19654)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (19654)Memory used [KB]: 1023
% 0.19/0.41 % (19654)Time elapsed: 0.003 s
% 0.19/0.41 % (19654)Instructions burned: 4 (million)
% 0.19/0.41 % (19654)------------------------------
% 0.19/0.41 % (19654)------------------------------
% 0.19/0.42 % (19652)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.42 % (19653)Instruction limit reached!
% 0.19/0.42 % (19653)------------------------------
% 0.19/0.42 % (19653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (19653)Termination reason: Unknown
% 0.19/0.42 % (19653)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (19653)Memory used [KB]: 1023
% 0.19/0.42 % (19653)Time elapsed: 0.004 s
% 0.19/0.42 % (19653)Instructions burned: 4 (million)
% 0.19/0.42 % (19653)------------------------------
% 0.19/0.42 % (19653)------------------------------
% 0.19/0.42 % (19652)Instruction limit reached!
% 0.19/0.42 % (19652)------------------------------
% 0.19/0.42 % (19652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (19652)Termination reason: Unknown
% 0.19/0.42 % (19652)Termination phase: Function definition elimination
% 0.19/0.42
% 0.19/0.42 % (19652)Memory used [KB]: 1151
% 0.19/0.42 % (19652)Time elapsed: 0.005 s
% 0.19/0.42 % (19652)Instructions burned: 8 (million)
% 0.19/0.42 % (19652)------------------------------
% 0.19/0.42 % (19652)------------------------------
% 0.19/0.42 % (19649)Instruction limit reached!
% 0.19/0.42 % (19649)------------------------------
% 0.19/0.42 % (19649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (19649)Termination reason: Unknown
% 0.19/0.42 % (19649)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (19649)Memory used [KB]: 5884
% 0.19/0.42 % (19649)Time elapsed: 0.012 s
% 0.19/0.42 % (19649)Instructions burned: 16 (million)
% 0.19/0.42 % (19649)------------------------------
% 0.19/0.42 % (19649)------------------------------
% 0.19/0.42 % (19655)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.43 % (19656)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.43 % (19655)Instruction limit reached!
% 0.19/0.43 % (19655)------------------------------
% 0.19/0.43 % (19655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (19655)Termination reason: Unknown
% 0.19/0.43 % (19655)Termination phase: Saturation
% 0.19/0.43
% 0.19/0.43 % (19655)Memory used [KB]: 5628
% 0.19/0.43 % (19655)Time elapsed: 0.011 s
% 0.19/0.43 % (19655)Instructions burned: 18 (million)
% 0.19/0.43 % (19655)------------------------------
% 0.19/0.43 % (19655)------------------------------
% 0.19/0.43 % (19657)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.43 % (19658)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.19/0.43 % (19657)Instruction limit reached!
% 0.19/0.43 % (19657)------------------------------
% 0.19/0.43 % (19657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (19657)Termination reason: Unknown
% 0.19/0.43 % (19657)Termination phase: Unused predicate definition removal
% 0.19/0.43
% 0.19/0.43 % (19657)Memory used [KB]: 1023
% 0.19/0.43 % (19657)Time elapsed: 0.005 s
% 0.19/0.43 % (19657)Instructions burned: 6 (million)
% 0.19/0.43 % (19657)------------------------------
% 0.19/0.43 % (19657)------------------------------
% 0.19/0.43 % (19656)Refutation not found, incomplete strategy
% 0.19/0.43 % (19656)------------------------------
% 0.19/0.43 % (19656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (19656)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % (19656)Memory used [KB]: 5628
% 0.19/0.43 % (19656)Time elapsed: 0.009 s
% 0.19/0.43 % (19656)Instructions burned: 11 (million)
% 0.19/0.43 % (19656)------------------------------
% 0.19/0.43 % (19656)------------------------------
% 0.19/0.44 % (19658)Refutation not found, incomplete strategy
% 0.19/0.44 % (19658)------------------------------
% 0.19/0.44 % (19658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (19658)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % (19658)Memory used [KB]: 5628
% 0.19/0.44 % (19658)Time elapsed: 0.008 s
% 0.19/0.44 % (19658)Instructions burned: 11 (million)
% 0.19/0.44 % (19658)------------------------------
% 0.19/0.44 % (19658)------------------------------
% 0.19/0.44 % (19660)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.44 % (19661)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.44 % (19659)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.45 % (19660)Instruction limit reached!
% 0.19/0.45 % (19660)------------------------------
% 0.19/0.45 % (19660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (19661)Instruction limit reached!
% 0.19/0.45 % (19661)------------------------------
% 0.19/0.45 % (19661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (19660)Termination reason: Unknown
% 0.19/0.45 % (19660)Termination phase: Property scanning
% 0.19/0.45
% 0.19/0.45 % (19660)Memory used [KB]: 1023
% 0.19/0.45 % (19660)Time elapsed: 0.004 s
% 0.19/0.45 % (19660)Instructions burned: 6 (million)
% 0.19/0.45 % (19660)------------------------------
% 0.19/0.45 % (19660)------------------------------
% 0.19/0.45 % (19661)Termination reason: Unknown
% 0.19/0.45 % (19661)Termination phase: SInE selection
% 0.19/0.45
% 0.19/0.45 % (19661)Memory used [KB]: 1023
% 0.19/0.45 % (19661)Time elapsed: 0.004 s
% 0.19/0.45 % (19661)Instructions burned: 6 (million)
% 0.19/0.45 % (19661)------------------------------
% 0.19/0.45 % (19661)------------------------------
% 0.19/0.45 % (19662)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.45 % (19663)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=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.19/0.45 % (19659)Instruction limit reached!
% 0.19/0.45 % (19659)------------------------------
% 0.19/0.45 % (19659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (19659)Termination reason: Unknown
% 0.19/0.45 % (19659)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (19659)Memory used [KB]: 5628
% 0.19/0.45 % (19659)Time elapsed: 0.033 s
% 0.19/0.45 % (19659)Instructions burned: 21 (million)
% 0.19/0.45 % (19659)------------------------------
% 0.19/0.45 % (19659)------------------------------
% 0.19/0.45 % (19664)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.19/0.46 % (19664)Refutation not found, incomplete strategy
% 0.19/0.46 % (19664)------------------------------
% 0.19/0.46 % (19664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (19664)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 % (19664)Memory used [KB]: 5628
% 0.19/0.46 % (19664)Time elapsed: 0.007 s
% 0.19/0.46 % (19664)Instructions burned: 12 (million)
% 0.19/0.46 % (19664)------------------------------
% 0.19/0.46 % (19664)------------------------------
% 0.19/0.47 % (19665)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.19/0.47 % (19668)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.47 % (19666)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.19/0.48 % (19666)Instruction limit reached!
% 0.19/0.48 % (19666)------------------------------
% 0.19/0.48 % (19666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (19666)Termination reason: Unknown
% 0.19/0.48 % (19666)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (19666)Memory used [KB]: 5756
% 0.19/0.48 % (19666)Time elapsed: 0.009 s
% 0.19/0.48 % (19666)Instructions burned: 19 (million)
% 0.19/0.48 % (19666)------------------------------
% 0.19/0.48 % (19666)------------------------------
% 0.19/0.48 % (19668)Instruction limit reached!
% 0.19/0.48 % (19668)------------------------------
% 0.19/0.48 % (19668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (19668)Termination reason: Unknown
% 0.19/0.48 % (19668)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (19668)Memory used [KB]: 5756
% 0.19/0.48 % (19668)Time elapsed: 0.012 s
% 0.19/0.48 % (19668)Instructions burned: 32 (million)
% 0.19/0.48 % (19668)------------------------------
% 0.19/0.48 % (19668)------------------------------
% 0.19/0.48 % (19662)First to succeed.
% 0.19/0.48 % (19636)Instruction limit reached!
% 0.19/0.48 % (19636)------------------------------
% 0.19/0.48 % (19636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (19636)Termination reason: Unknown
% 0.19/0.48 % (19636)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (19636)Memory used [KB]: 6524
% 0.19/0.48 % (19636)Time elapsed: 0.104 s
% 0.19/0.48 % (19636)Instructions burned: 183 (million)
% 0.19/0.48 % (19636)------------------------------
% 0.19/0.48 % (19636)------------------------------
% 0.19/0.48 % (19667)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48 % (19667)Instruction limit reached!
% 0.19/0.48 % (19667)------------------------------
% 0.19/0.48 % (19667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (19667)Termination reason: Unknown
% 0.19/0.48 % (19667)Termination phase: Property scanning
% 0.19/0.48
% 0.19/0.48 % (19667)Memory used [KB]: 1023
% 0.19/0.48 % (19667)Time elapsed: 0.003 s
% 0.19/0.48 % (19667)Instructions burned: 4 (million)
% 0.19/0.48 % (19667)------------------------------
% 0.19/0.48 % (19667)------------------------------
% 0.19/0.48 % (19662)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% 0.19/0.48 thf(type_def_6, type, individuals: $tType).
% 0.19/0.48 thf(func_def_1, type, prop_a: $i > $o).
% 0.19/0.48 thf(func_def_2, type, prop_b: $i > $o).
% 0.19/0.48 thf(func_def_3, type, prop_c: $i > $o).
% 0.19/0.48 thf(func_def_4, type, mfalse: $i > $o).
% 0.19/0.48 thf(func_def_5, type, mtrue: $i > $o).
% 0.19/0.48 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_14, type, individuals: $tType).
% 0.19/0.48 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.19/0.48 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.19/0.48 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.19/0.48 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.19/0.48 thf(func_def_21, type, cartesian_product: ($i > $o) > ($i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_22, type, pair_rel: $i > $i > $i > $i > $o).
% 0.19/0.48 thf(func_def_23, type, id_rel: ($i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_24, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_25, type, is_rel_on: ($i > $i > $o) > ($i > $o) > ($i > $o) > $o).
% 0.19/0.48 thf(func_def_26, type, restrict_rel_domain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_27, type, rel_diagonal: $i > $i > $o).
% 0.19/0.48 thf(func_def_28, type, rel_composition: ($i > $i > $o) > ($i > $i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_29, type, reflexive: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_30, type, irreflexive: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_31, type, symmetric: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_32, type, transitive: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_33, type, equiv_rel: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_34, type, rel_codomain: ($i > $i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_35, type, rel_domain: ($i > $i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_36, type, rel_inverse: ($i > $i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_37, type, equiv_classes: ($i > $i > $o) > ($i > $o) > $o).
% 0.19/0.48 thf(func_def_38, type, restrict_rel_codomain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.19/0.48 thf(func_def_39, type, rel_field: ($i > $i > $o) > $i > $o).
% 0.19/0.48 thf(func_def_40, type, well_founded: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_41, type, upwards_well_founded: ($i > $i > $o) > $o).
% 0.19/0.48 thf(func_def_58, type, sK0: $i > $i > $o).
% 0.19/0.48 thf(func_def_60, type, sK2: ($i > $o) > $i > $i).
% 0.19/0.48 thf(func_def_65, type, sK7: ($i > $o) > $i > $i).
% 0.19/0.48 thf(func_def_66, type, ph8: !>[X0: $tType]:(X0)).
% 0.19/0.48 thf(f419,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(avatar_sat_refutation,[],[f206,f211,f216,f234,f315,f371,f404])).
% 0.19/0.48 thf(f404,plain,(
% 0.19/0.48 ~spl1_3 | ~spl1_4 | ~spl1_5),
% 0.19/0.48 inference(avatar_contradiction_clause,[],[f403])).
% 0.19/0.48 thf(f403,plain,(
% 0.19/0.48 $false | (~spl1_3 | ~spl1_4 | ~spl1_5)),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f402])).
% 0.19/0.48 thf(f402,plain,(
% 0.19/0.48 ($true = $false) | (~spl1_3 | ~spl1_4 | ~spl1_5)),
% 0.19/0.48 inference(backward_demodulation,[],[f210,f401])).
% 0.19/0.48 thf(f401,plain,(
% 0.19/0.48 ((sK0 @ sK4 @ sK3) = $false) | (~spl1_4 | ~spl1_5)),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f381])).
% 0.19/0.48 thf(f381,plain,(
% 0.19/0.48 ($true = $false) | ((sK0 @ sK4 @ sK3) = $false) | (~spl1_4 | ~spl1_5)),
% 0.19/0.48 inference(superposition,[],[f215,f310])).
% 0.19/0.48 thf(f310,plain,(
% 0.19/0.48 ( ! [X1 : $i] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ X1 @ sK3) = $false)) ) | ~spl1_5),
% 0.19/0.48 inference(avatar_component_clause,[],[f309])).
% 0.19/0.48 thf(f309,plain,(
% 0.19/0.48 spl1_5 <=> ! [X1] : (((sK0 @ sK6 @ X1) = $false) | ((sK0 @ X1 @ sK3) = $false))),
% 0.19/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.19/0.48 thf(f215,plain,(
% 0.19/0.48 ((sK0 @ sK6 @ sK4) = $true) | ~spl1_4),
% 0.19/0.48 inference(avatar_component_clause,[],[f213])).
% 0.19/0.48 thf(f213,plain,(
% 0.19/0.48 spl1_4 <=> ((sK0 @ sK6 @ sK4) = $true)),
% 0.19/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.19/0.48 thf(f210,plain,(
% 0.19/0.48 ((sK0 @ sK4 @ sK3) = $true) | ~spl1_3),
% 0.19/0.48 inference(avatar_component_clause,[],[f208])).
% 0.19/0.48 thf(f208,plain,(
% 0.19/0.48 spl1_3 <=> ((sK0 @ sK4 @ sK3) = $true)),
% 0.19/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.19/0.48 thf(f371,plain,(
% 0.19/0.48 ~spl1_1 | ~spl1_3 | ~spl1_4 | ~spl1_6),
% 0.19/0.48 inference(avatar_contradiction_clause,[],[f370])).
% 0.19/0.48 thf(f370,plain,(
% 0.19/0.48 $false | (~spl1_1 | ~spl1_3 | ~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f369])).
% 0.19/0.48 thf(f369,plain,(
% 0.19/0.48 ($true = $false) | (~spl1_1 | ~spl1_3 | ~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(backward_demodulation,[],[f210,f366])).
% 0.19/0.48 thf(f366,plain,(
% 0.19/0.48 ((sK0 @ sK4 @ sK3) = $false) | (~spl1_1 | ~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f354])).
% 0.19/0.48 thf(f354,plain,(
% 0.19/0.48 ((sK0 @ sK4 @ sK3) = $false) | ($true = $false) | (~spl1_1 | ~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(superposition,[],[f201,f344])).
% 0.19/0.48 thf(f344,plain,(
% 0.19/0.48 ( ! [X0 : $i] : (((sK0 @ sK6 @ X0) = $true) | ((sK0 @ sK4 @ X0) = $false)) ) | (~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f324])).
% 0.19/0.48 thf(f324,plain,(
% 0.19/0.48 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK6 @ X0) = $true) | ((sK0 @ sK4 @ X0) = $false)) ) | (~spl1_4 | ~spl1_6)),
% 0.19/0.48 inference(superposition,[],[f215,f313])).
% 0.19/0.48 thf(f313,plain,(
% 0.19/0.48 ( ! [X2 : $i,X0 : $i] : (((sK0 @ sK6 @ X2) = $false) | ((sK0 @ sK6 @ X0) = $true) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_6),
% 0.19/0.48 inference(avatar_component_clause,[],[f312])).
% 0.19/0.48 thf(f312,plain,(
% 0.19/0.48 spl1_6 <=> ! [X2,X0] : (((sK0 @ sK6 @ X0) = $true) | ((sK0 @ sK6 @ X2) = $false) | ((sK0 @ X2 @ X0) = $false))),
% 0.19/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.19/0.48 thf(f201,plain,(
% 0.19/0.48 ((sK0 @ sK6 @ sK3) = $false) | ~spl1_1),
% 0.19/0.48 inference(avatar_component_clause,[],[f199])).
% 0.19/0.48 thf(f199,plain,(
% 0.19/0.48 spl1_1 <=> ((sK0 @ sK6 @ sK3) = $false)),
% 0.19/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.19/0.48 thf(f315,plain,(
% 0.19/0.48 spl1_5 | spl1_6 | ~spl1_1),
% 0.19/0.48 inference(avatar_split_clause,[],[f302,f199,f312,f309])).
% 0.19/0.48 thf(f302,plain,(
% 0.19/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X0) = $false) | ((sK0 @ X1 @ sK3) = $false) | ((sK0 @ sK6 @ X0) = $true) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK6 @ X2) = $false)) ) | ~spl1_1),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f286])).
% 0.19/0.48 thf(f286,plain,(
% 0.19/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK6 @ X0) = $true) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ X2 @ X0) = $false) | ((sK0 @ sK6 @ X2) = $false) | ($true = $false) | ((sK0 @ X1 @ sK3) = $false)) ) | ~spl1_1),
% 0.19/0.48 inference(superposition,[],[f255,f201])).
% 0.19/0.48 thf(f255,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X2)) | ((sK0 @ X0 @ X3) = $true) | ((sK0 @ X1 @ X2) = $false) | ((sK0 @ X0 @ X4) = $false) | ((sK0 @ X4 @ X3) = $false) | ($false = (sK0 @ X0 @ X1))) )),
% 0.19/0.48 inference(trivial_inequality_removal,[],[f250])).
% 0.19/0.48 thf(f250,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X4 @ X3) = $false) | ((sK0 @ X0 @ X3) = $true) | ($true = $false) | ($false = (sK0 @ X0 @ X1)) | ((sK0 @ X0 @ X4) = $false) | ((sK0 @ X1 @ X2) = $false) | ($true = (sK0 @ X0 @ X2))) )),
% 0.19/0.48 inference(superposition,[],[f196,f197])).
% 0.19/0.48 thf(f197,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((sK0 @ X2 @ (sK7 @ X1 @ X2)) = $true) | ((X1 @ X4) = $true) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X3 @ X4) = $false)) )),
% 0.19/0.48 inference(binary_proxy_clausification,[],[f195])).
% 0.19/0.48 thf(f195,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : ((((sK0 @ X2 @ (sK7 @ X1 @ X2)) => (X1 @ (sK7 @ X1 @ X2))) = $false) | ((X1 @ X4) = $true) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X3 @ X4) = $false)) )),
% 0.19/0.48 inference(beta_eta_normalization,[],[f194])).
% 0.19/0.48 thf(f194,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((sK0 @ X2 @ X3) = $false) | (((^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))) @ (sK7 @ X1 @ X2)) = $false) | ((sK0 @ X3 @ X4) = $false) | ((X1 @ X4) = $true)) )),
% 0.19/0.48 inference(sigma_clausification,[],[f193])).
% 0.19/0.48 thf(f193,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((sK0 @ X2 @ X3) = $false) | ((X1 @ X4) = $true) | ((sK0 @ X3 @ X4) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0)))) = $false)) )),
% 0.19/0.48 inference(not_proxy_clausification,[],[f192])).
% 0.19/0.48 thf(f192,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((sK0 @ X2 @ X3) = $false) | ((sK0 @ X3 @ X4) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true) | ((X1 @ X4) = $true)) )),
% 0.19/0.48 inference(binary_proxy_clausification,[],[f191])).
% 0.19/0.48 thf(f191,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : ((((sK0 @ X3 @ X4) => (X1 @ X4)) = $true) | ((sK0 @ X2 @ X3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 0.19/0.48 inference(beta_eta_normalization,[],[f190])).
% 0.19/0.48 thf(f190,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((sK0 @ X2 @ X3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true) | (((^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X1 @ Y0))) @ X4) = $true)) )),
% 0.19/0.48 inference(pi_clausification,[],[f189])).
% 0.19/0.48 thf(f189,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((sK0 @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X1 @ Y0)))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 0.19/0.48 inference(binary_proxy_clausification,[],[f188])).
% 0.19/0.48 thf(f188,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((sK0 @ X2 @ X3) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 0.19/0.48 inference(beta_eta_normalization,[],[f187])).
% 0.19/0.48 thf(f187,plain,(
% 0.19/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1)))))) @ X3) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 0.19/0.48 inference(pi_clausification,[],[f186])).
% 0.19/0.48 thf(f186,plain,(
% 0.19/0.48 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true)) )),
% 0.19/0.48 inference(binary_proxy_clausification,[],[f185])).
% 0.19/0.48 thf(f185,plain,(
% 0.19/0.48 ( ! [X2 : $i,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 0.19/0.48 inference(beta_eta_normalization,[],[f184])).
% 0.19/0.48 thf(f184,plain,(
% 0.19/0.48 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 0.19/0.48 inference(pi_clausification,[],[f183])).
% 0.19/0.48 thf(f183,plain,(
% 0.19/0.48 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )),
% 0.19/0.48 inference(beta_eta_normalization,[],[f159])).
% 0.19/0.48 thf(f159,plain,(
% 0.19/0.48 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X1) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X1)))))) )),
% 0.19/0.48 inference(definition_unfolding,[],[f116,f126,f154,f119,f119,f119])).
% 0.19/0.48 thf(f119,plain,(
% 0.19/0.48 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.19/0.48 inference(cnf_transformation,[],[f43])).
% 0.19/0.48 thf(f43,plain,(
% 0.19/0.48 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.19/0.48 inference(fool_elimination,[],[f42])).
% 0.19/0.48 thf(f42,plain,(
% 0.19/0.48 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.19/0.48 inference(rectify,[],[f8])).
% 0.19/0.48 thf(f8,axiom,(
% 0.19/0.48 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.19/0.48 thf(f154,plain,(
% 0.19/0.48 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.19/0.48 inference(definition_unfolding,[],[f129,f146,f135])).
% 0.19/0.48 thf(f135,plain,(
% 0.19/0.48 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.19/0.48 inference(cnf_transformation,[],[f103])).
% 0.19/0.48 thf(f103,plain,(
% 0.19/0.48 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.19/0.48 inference(fool_elimination,[],[f102])).
% 0.19/0.48 thf(f102,plain,(
% 0.19/0.48 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.19/0.48 inference(rectify,[],[f3])).
% 0.19/0.48 thf(f3,axiom,(
% 0.19/0.48 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.19/0.48 thf(f146,plain,(
% 0.19/0.48 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.19/0.48 inference(cnf_transformation,[],[f63])).
% 0.19/0.48 thf(f63,plain,(
% 0.19/0.48 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.19/0.48 inference(fool_elimination,[],[f62])).
% 0.19/0.48 thf(f62,plain,(
% 0.19/0.48 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.19/0.48 inference(rectify,[],[f4])).
% 0.19/0.48 thf(f4,axiom,(
% 0.19/0.48 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.19/0.48 thf(f129,plain,(
% 0.19/0.48 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.19/0.48 inference(cnf_transformation,[],[f94])).
% 0.19/0.48 thf(f94,plain,(
% 0.19/0.48 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.19/0.48 inference(fool_elimination,[],[f93])).
% 0.19/0.48 thf(f93,plain,(
% 0.19/0.48 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.19/0.48 inference(rectify,[],[f6])).
% 0.19/0.48 thf(f6,axiom,(
% 0.19/0.48 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.19/0.48 thf(f126,plain,(
% 0.19/0.48 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.19/0.48 inference(cnf_transformation,[],[f99])).
% 0.19/0.48 thf(f99,plain,(
% 0.19/0.48 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.19/0.48 inference(fool_elimination,[],[f98])).
% 0.19/0.48 thf(f98,plain,(
% 0.19/0.48 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.19/0.48 inference(rectify,[],[f12])).
% 0.19/0.48 thf(f12,axiom,(
% 0.19/0.48 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.19/0.48 thf(f116,plain,(
% 0.19/0.48 ( ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ (mbox @ sK0 @ (mbox @ sK0 @ X1)))) = $true)) )),
% 0.19/0.48 inference(cnf_transformation,[],[f114])).
% 0.19/0.48 thf(f114,plain,(
% 0.19/0.48 (((transitive @ sK0) != $true) | ($true != (reflexive @ sK0))) & ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ (mbox @ sK0 @ (mbox @ sK0 @ X1)))) = $true) & ((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ X1)) = $true))),
% 0.19/0.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f112,f113])).
% 0.19/0.49 thf(f113,plain,(
% 0.19/0.49 ? [X0 : $i > $i > $o] : ((($true != (transitive @ X0)) | ((reflexive @ X0) != $true)) & ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1)) = $true))) => ((((transitive @ sK0) != $true) | ($true != (reflexive @ sK0))) & ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ (mbox @ sK0 @ (mbox @ sK0 @ X1)))) = $true) & ((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ X1)) = $true)))),
% 0.19/0.49 introduced(choice_axiom,[])).
% 0.19/0.49 thf(f112,plain,(
% 0.19/0.49 ? [X0 : $i > $i > $o] : ((($true != (transitive @ X0)) | ((reflexive @ X0) != $true)) & ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1)) = $true)))),
% 0.19/0.49 inference(ennf_transformation,[],[f77])).
% 0.19/0.49 thf(f77,plain,(
% 0.19/0.49 ~! [X0 : $i > $i > $o] : (! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1)) = $true)) => (((reflexive @ X0) = $true) & ($true = (transitive @ X0))))),
% 0.19/0.49 inference(fool_elimination,[],[f76])).
% 0.19/0.49 thf(f76,plain,(
% 0.19/0.49 ~! [X0 : $i > $i > $o] : (! [X1 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) & (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) => ((reflexive @ X0) & (transitive @ X0)))),
% 0.19/0.49 inference(rectify,[],[f38])).
% 0.19/0.49 thf(f38,negated_conjecture,(
% 0.19/0.49 ~! [X4 : $i > $i > $o] : (! [X10 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X4 @ X10) @ (mbox @ X4 @ (mbox @ X4 @ X10)))) & (mvalid @ (mimpl @ (mbox @ X4 @ X10) @ X10))) => ((reflexive @ X4) & (transitive @ X4)))),
% 0.19/0.49 inference(negated_conjecture,[],[f37])).
% 0.19/0.49 thf(f37,conjecture,(
% 0.19/0.49 ! [X4 : $i > $i > $o] : (! [X10 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X4 @ X10) @ (mbox @ X4 @ (mbox @ X4 @ X10)))) & (mvalid @ (mimpl @ (mbox @ X4 @ X10) @ X10))) => ((reflexive @ X4) & (transitive @ X4)))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.19/0.49 thf(f196,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((X1 @ (sK7 @ X1 @ X2)) = $false) | ((sK0 @ X2 @ X3) = $false) | ((X1 @ X4) = $true) | ((sK0 @ X3 @ X4) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f195])).
% 0.19/0.49 thf(f234,plain,(
% 0.19/0.49 ~spl1_2),
% 0.19/0.49 inference(avatar_contradiction_clause,[],[f233])).
% 0.19/0.49 thf(f233,plain,(
% 0.19/0.49 $false | ~spl1_2),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f229])).
% 0.19/0.49 thf(f229,plain,(
% 0.19/0.49 ($true = $false) | ~spl1_2),
% 0.19/0.49 inference(superposition,[],[f227,f205])).
% 0.19/0.49 thf(f205,plain,(
% 0.19/0.49 ($false = (sK0 @ sK5 @ sK5)) | ~spl1_2),
% 0.19/0.49 inference(avatar_component_clause,[],[f203])).
% 0.19/0.49 thf(f203,plain,(
% 0.19/0.49 spl1_2 <=> ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.19/0.49 thf(f227,plain,(
% 0.19/0.49 ( ! [X0 : $i] : (($true = (sK0 @ X0 @ X0))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f226])).
% 0.19/0.49 thf(f226,plain,(
% 0.19/0.49 ( ! [X0 : $i] : (($true = $false) | ($true = (sK0 @ X0 @ X0))) )),
% 0.19/0.49 inference(duplicate_literal_removal,[],[f223])).
% 0.19/0.49 thf(f223,plain,(
% 0.19/0.49 ( ! [X0 : $i] : (($true = (sK0 @ X0 @ X0)) | ($true = (sK0 @ X0 @ X0)) | ($true = $false)) )),
% 0.19/0.49 inference(superposition,[],[f168,f169])).
% 0.19/0.49 thf(f169,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (($true = (sK0 @ X2 @ (sK2 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f167])).
% 0.19/0.49 thf(f167,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (($true = (X1 @ X2)) | ($false = ((sK0 @ X2 @ (sK2 @ X1 @ X2)) => (X1 @ (sK2 @ X1 @ X2))))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f166])).
% 0.19/0.49 thf(f166,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))) @ (sK2 @ X1 @ X2))) | ($true = (X1 @ X2))) )),
% 0.19/0.49 inference(sigma_clausification,[],[f165])).
% 0.19/0.49 thf(f165,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0)))) = $false) | ($true = (X1 @ X2))) )),
% 0.19/0.49 inference(not_proxy_clausification,[],[f164])).
% 0.19/0.49 thf(f164,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0))))) = $true) | ($true = (X1 @ X2))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f163])).
% 0.19/0.49 thf(f163,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : ((((X1 @ X2) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f162])).
% 0.19/0.49 thf(f162,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 0.19/0.49 inference(pi_clausification,[],[f161])).
% 0.19/0.49 thf(f161,plain,(
% 0.19/0.49 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X1 @ Y1)))))))))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f160])).
% 0.19/0.49 thf(f160,plain,(
% 0.19/0.49 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X1) @ X1)) = $true)) )),
% 0.19/0.49 inference(definition_unfolding,[],[f115,f126,f154,f119])).
% 0.19/0.49 thf(f115,plain,(
% 0.19/0.49 ( ! [X1 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ X1)) = $true)) )),
% 0.19/0.49 inference(cnf_transformation,[],[f114])).
% 0.19/0.49 thf(f168,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ (sK2 @ X1 @ X2)) = $false) | ($true = (X1 @ X2))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f167])).
% 0.19/0.49 thf(f216,plain,(
% 0.19/0.49 spl1_2 | spl1_4),
% 0.19/0.49 inference(avatar_split_clause,[],[f182,f213,f203])).
% 0.19/0.49 thf(f182,plain,(
% 0.19/0.49 ((sK0 @ sK6 @ sK4) = $true) | ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f180])).
% 0.19/0.49 thf(f180,plain,(
% 0.19/0.49 ($true = ((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK3))) | ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f178])).
% 0.19/0.49 thf(f178,plain,(
% 0.19/0.49 ((((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK3)) => (sK0 @ sK6 @ sK3)) = $false) | ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f177])).
% 0.19/0.49 thf(f177,plain,(
% 0.19/0.49 ($false = ((^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK3)) => (sK0 @ Y0 @ sK3))) @ sK6)) | ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 inference(sigma_clausification,[],[f176])).
% 0.19/0.49 thf(f176,plain,(
% 0.19/0.49 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK3)) => (sK0 @ Y0 @ sK3)))) = $false) | ($false = (sK0 @ sK5 @ sK5))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f175])).
% 0.19/0.49 thf(f175,plain,(
% 0.19/0.49 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK3)) => (sK0 @ Y0 @ sK3)))) = $false) | ($false = ((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ sK5))),
% 0.19/0.49 inference(sigma_clausification,[],[f174])).
% 0.19/0.49 thf(f174,plain,(
% 0.19/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0)))) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK3)) => (sK0 @ Y0 @ sK3)))) = $false)),
% 0.19/0.49 inference(beta_eta_normalization,[],[f173])).
% 0.19/0.49 thf(f173,plain,(
% 0.19/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0)))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ sK3)) => (sK0 @ Y1 @ sK3))))) @ sK4) = $false)),
% 0.19/0.49 inference(sigma_clausification,[],[f172])).
% 0.19/0.49 thf(f172,plain,(
% 0.19/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ sK3)) => (sK0 @ Y1 @ sK3)))))) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f171])).
% 0.19/0.49 thf(f171,plain,(
% 0.19/0.49 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y2 @ Y0))))))) @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.19/0.49 inference(sigma_clausification,[],[f170])).
% 0.19/0.49 thf(f170,plain,(
% 0.19/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y2 @ Y0))))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f158])).
% 0.19/0.49 thf(f158,plain,(
% 0.19/0.49 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0) != $true) | (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) @ sK0) != $true)),
% 0.19/0.49 inference(definition_unfolding,[],[f117,f136,f145])).
% 0.19/0.49 thf(f145,plain,(
% 0.19/0.49 (reflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.19/0.49 inference(cnf_transformation,[],[f83])).
% 0.19/0.49 thf(f83,plain,(
% 0.19/0.49 (reflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.19/0.49 inference(fool_elimination,[],[f82])).
% 0.19/0.49 thf(f82,plain,(
% 0.19/0.49 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = reflexive)),
% 0.19/0.49 inference(rectify,[],[f24])).
% 0.19/0.49 thf(f24,axiom,(
% 0.19/0.49 ((^[X4 : $i > $i > $o] : (! [X0] : (X4 @ X0 @ X0))) = reflexive)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive)).
% 0.19/0.49 thf(f136,plain,(
% 0.19/0.49 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f105])).
% 0.19/0.49 thf(f105,plain,(
% 0.19/0.49 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f104])).
% 0.19/0.49 thf(f104,plain,(
% 0.19/0.49 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)))) = transitive)),
% 0.19/0.49 inference(rectify,[],[f27])).
% 0.19/0.49 thf(f27,axiom,(
% 0.19/0.49 ((^[X4 : $i > $i > $o] : (! [X0,X2,X12] : (((X4 @ X2 @ X12) & (X4 @ X0 @ X2)) => (X4 @ X0 @ X12)))) = transitive)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
% 0.19/0.49 thf(f117,plain,(
% 0.19/0.49 ((transitive @ sK0) != $true) | ($true != (reflexive @ sK0))),
% 0.19/0.49 inference(cnf_transformation,[],[f114])).
% 0.19/0.49 thf(f211,plain,(
% 0.19/0.49 spl1_3 | spl1_2),
% 0.19/0.49 inference(avatar_split_clause,[],[f181,f203,f208])).
% 0.19/0.49 thf(f181,plain,(
% 0.19/0.49 ($false = (sK0 @ sK5 @ sK5)) | ((sK0 @ sK4 @ sK3) = $true)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f180])).
% 0.19/0.49 thf(f206,plain,(
% 0.19/0.49 spl1_1 | spl1_2),
% 0.19/0.49 inference(avatar_split_clause,[],[f179,f203,f199])).
% 0.19/0.49 thf(f179,plain,(
% 0.19/0.49 ($false = (sK0 @ sK5 @ sK5)) | ((sK0 @ sK6 @ sK3) = $false)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f178])).
% 0.19/0.49 % SZS output end Proof for theBenchmark
% 0.19/0.49 % (19662)------------------------------
% 0.19/0.49 % (19662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (19662)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (19662)Memory used [KB]: 5884
% 0.19/0.49 % (19662)Time elapsed: 0.037 s
% 0.19/0.49 % (19662)Instructions burned: 43 (million)
% 0.19/0.49 % (19662)------------------------------
% 0.19/0.49 % (19662)------------------------------
% 0.19/0.49 % (19635)Success in time 0.122 s
% 0.19/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------