TSTP Solution File: SYO170^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO170^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 09:03:20 EDT 2024

% Result   : Theorem 2.73s 0.74s
% Output   : Refutation 2.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYO170^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 09:52:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % (5106)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)
% 0.14/0.36  % (5107)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.36  % (5104)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.36  % (5105)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)
% 0.14/0.36  % (5104)Instruction limit reached!
% 0.14/0.36  % (5104)------------------------------
% 0.14/0.36  % (5104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (5104)Termination reason: Unknown
% 0.14/0.36  % (5104)Termination phase: Saturation
% 0.14/0.36  
% 0.14/0.36  % (5101)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.36  % (5104)Memory used [KB]: 5500
% 0.14/0.36  % (5104)Time elapsed: 0.003 s
% 0.14/0.36  % (5104)Instructions burned: 2 (million)
% 0.14/0.36  % (5104)------------------------------
% 0.14/0.36  % (5104)------------------------------
% 0.14/0.37  % (5108)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)
% 0.14/0.37  % (5105)Instruction limit reached!
% 0.14/0.37  % (5105)------------------------------
% 0.14/0.37  % (5105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (5105)Termination reason: Unknown
% 0.14/0.37  % (5105)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (5105)Memory used [KB]: 5500
% 0.14/0.37  % (5105)Time elapsed: 0.003 s
% 0.14/0.37  % (5105)Instructions burned: 3 (million)
% 0.14/0.37  % (5105)------------------------------
% 0.14/0.37  % (5105)------------------------------
% 0.14/0.37  % (5102)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)
% 0.14/0.37  % (5108)Instruction limit reached!
% 0.14/0.37  % (5108)------------------------------
% 0.14/0.37  % (5108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (5108)Termination reason: Unknown
% 0.14/0.37  % (5108)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (5108)Memory used [KB]: 5500
% 0.14/0.37  % (5108)Time elapsed: 0.006 s
% 0.14/0.37  % (5108)Instructions burned: 3 (million)
% 0.14/0.37  % (5108)------------------------------
% 0.14/0.37  % (5108)------------------------------
% 0.14/0.37  % (5102)Instruction limit reached!
% 0.14/0.37  % (5102)------------------------------
% 0.14/0.37  % (5102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (5102)Termination reason: Unknown
% 0.14/0.37  % (5102)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (5102)Memory used [KB]: 5500
% 0.14/0.37  % (5102)Time elapsed: 0.004 s
% 0.14/0.37  % (5102)Instructions burned: 4 (million)
% 0.14/0.37  % (5102)------------------------------
% 0.14/0.37  % (5102)------------------------------
% 0.14/0.37  % (5107)Instruction limit reached!
% 0.14/0.37  % (5107)------------------------------
% 0.14/0.37  % (5107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (5107)Termination reason: Unknown
% 0.14/0.37  % (5107)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (5107)Memory used [KB]: 5500
% 0.14/0.37  % (5107)Time elapsed: 0.011 s
% 0.14/0.37  % (5107)Instructions burned: 18 (million)
% 0.14/0.37  % (5107)------------------------------
% 0.14/0.37  % (5107)------------------------------
% 0.14/0.38  % (5103)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)
% 0.14/0.38  % (5110)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)
% 0.14/0.38  % (5109)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)
% 0.14/0.38  % (5112)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)
% 0.14/0.39  % (5110)Instruction limit reached!
% 0.14/0.39  % (5110)------------------------------
% 0.14/0.39  % (5110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (5110)Termination reason: Unknown
% 0.14/0.39  % (5110)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (5110)Memory used [KB]: 5500
% 0.14/0.39  % (5110)Time elapsed: 0.010 s
% 0.14/0.39  % (5110)Instructions burned: 16 (million)
% 0.14/0.39  % (5110)------------------------------
% 0.14/0.39  % (5110)------------------------------
% 0.14/0.39  % (5103)Instruction limit reached!
% 0.14/0.39  % (5103)------------------------------
% 0.14/0.39  % (5103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (5103)Termination reason: Unknown
% 0.14/0.39  % (5103)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (5103)Memory used [KB]: 5500
% 0.14/0.39  % (5103)Time elapsed: 0.019 s
% 0.14/0.39  % (5103)Instructions burned: 27 (million)
% 0.14/0.39  % (5103)------------------------------
% 0.14/0.39  % (5103)------------------------------
% 0.14/0.40  % (5111)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)
% 0.14/0.40  % (5111)Instruction limit reached!
% 0.14/0.40  % (5111)------------------------------
% 0.14/0.40  % (5111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (5111)Termination reason: Unknown
% 0.14/0.40  % (5111)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (5111)Memory used [KB]: 5500
% 0.14/0.40  % (5109)Instruction limit reached!
% 0.14/0.40  % (5109)------------------------------
% 0.14/0.40  % (5109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (5111)Time elapsed: 0.004 s
% 0.14/0.40  % (5111)Instructions burned: 3 (million)
% 0.14/0.40  % (5111)------------------------------
% 0.14/0.40  % (5111)------------------------------
% 0.14/0.40  % (5109)Termination reason: Unknown
% 0.14/0.40  % (5109)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (5109)Memory used [KB]: 5628
% 0.14/0.40  % (5109)Time elapsed: 0.019 s
% 0.14/0.40  % (5109)Instructions burned: 37 (million)
% 0.14/0.40  % (5109)------------------------------
% 0.14/0.40  % (5109)------------------------------
% 0.14/0.40  % (5113)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40  % (5114)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40  % (5113)Instruction limit reached!
% 0.14/0.40  % (5113)------------------------------
% 0.14/0.40  % (5113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (5113)Termination reason: Unknown
% 0.14/0.40  % (5113)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (5113)Memory used [KB]: 1023
% 0.14/0.40  % (5113)Time elapsed: 0.029 s
% 0.14/0.40  % (5113)Instructions burned: 8 (million)
% 0.14/0.40  % (5113)------------------------------
% 0.14/0.40  % (5113)------------------------------
% 0.20/0.41  % (5115)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)
% 0.20/0.41  % (5115)Instruction limit reached!
% 0.20/0.41  % (5115)------------------------------
% 0.20/0.41  % (5115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (5115)Termination reason: Unknown
% 0.20/0.41  % (5115)Termination phase: Saturation
% 0.20/0.41  
% 0.20/0.41  % (5115)Memory used [KB]: 5500
% 0.20/0.41  % (5115)Time elapsed: 0.004 s
% 0.20/0.41  % (5115)Instructions burned: 3 (million)
% 0.20/0.41  % (5115)------------------------------
% 0.20/0.41  % (5115)------------------------------
% 0.20/0.41  % (5114)Instruction limit reached!
% 0.20/0.41  % (5114)------------------------------
% 0.20/0.41  % (5114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (5114)Termination reason: Unknown
% 0.20/0.41  % (5114)Termination phase: Saturation
% 0.20/0.41  
% 0.20/0.41  % (5114)Memory used [KB]: 5628
% 0.20/0.41  % (5114)Time elapsed: 0.011 s
% 0.20/0.41  % (5114)Instructions burned: 17 (million)
% 0.20/0.41  % (5114)------------------------------
% 0.20/0.41  % (5114)------------------------------
% 0.20/0.41  % (5116)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)
% 0.20/0.41  % (5116)Instruction limit reached!
% 0.20/0.41  % (5116)------------------------------
% 0.20/0.41  % (5116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (5116)Termination reason: Unknown
% 0.20/0.41  % (5116)Termination phase: Saturation
% 0.20/0.41  
% 0.20/0.41  % (5116)Memory used [KB]: 1023
% 0.20/0.41  % (5116)Time elapsed: 0.004 s
% 0.20/0.41  % (5116)Instructions burned: 3 (million)
% 0.20/0.41  % (5116)------------------------------
% 0.20/0.41  % (5116)------------------------------
% 0.20/0.42  % (5118)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)
% 0.20/0.42  % (5118)Instruction limit reached!
% 0.20/0.42  % (5118)------------------------------
% 0.20/0.42  % (5118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (5118)Termination reason: Unknown
% 0.20/0.42  % (5118)Termination phase: Saturation
% 0.20/0.42  
% 0.20/0.42  % (5118)Memory used [KB]: 5500
% 0.20/0.42  % (5118)Time elapsed: 0.003 s
% 0.20/0.42  % (5118)Instructions burned: 3 (million)
% 0.20/0.42  % (5118)------------------------------
% 0.20/0.42  % (5118)------------------------------
% 0.20/0.42  % (5117)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)
% 0.20/0.42  % (5117)Refutation not found, incomplete strategy
% 0.20/0.42  % (5117)------------------------------
% 0.20/0.42  % (5117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (5117)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  % (5117)Memory used [KB]: 5500
% 0.20/0.42  % (5117)Time elapsed: 0.002 s
% 0.20/0.42  % (5117)Instructions burned: 2 (million)
% 0.20/0.42  % (5117)------------------------------
% 0.20/0.42  % (5117)------------------------------
% 0.20/0.42  % (5119)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43  % (5120)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)
% 0.20/0.43  % (5119)Instruction limit reached!
% 0.20/0.43  % (5119)------------------------------
% 0.20/0.43  % (5119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (5119)Termination reason: Unknown
% 0.20/0.43  % (5119)Termination phase: Saturation
% 0.20/0.43  
% 0.20/0.43  % (5119)Memory used [KB]: 5500
% 0.20/0.43  % (5119)Time elapsed: 0.005 s
% 0.20/0.43  % (5119)Instructions burned: 4 (million)
% 0.20/0.43  % (5119)------------------------------
% 0.20/0.43  % (5119)------------------------------
% 0.20/0.43  % (5121)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43  % (5122)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44  % (5120)Instruction limit reached!
% 0.20/0.44  % (5120)------------------------------
% 0.20/0.44  % (5120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (5120)Termination reason: Unknown
% 0.20/0.44  % (5120)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (5120)Memory used [KB]: 5500
% 0.20/0.44  % (5120)Time elapsed: 0.010 s
% 0.20/0.44  % (5120)Instructions burned: 18 (million)
% 0.20/0.44  % (5120)------------------------------
% 0.20/0.44  % (5120)------------------------------
% 0.20/0.44  % (5122)Instruction limit reached!
% 0.20/0.44  % (5122)------------------------------
% 0.20/0.44  % (5122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (5122)Termination reason: Unknown
% 0.20/0.44  % (5122)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (5122)Memory used [KB]: 5500
% 0.20/0.44  % (5122)Time elapsed: 0.005 s
% 0.20/0.44  % (5122)Instructions burned: 6 (million)
% 0.20/0.44  % (5122)------------------------------
% 0.20/0.44  % (5122)------------------------------
% 0.20/0.44  % (5124)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.45  % (5101)Instruction limit reached!
% 0.20/0.45  % (5101)------------------------------
% 0.20/0.45  % (5101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (5101)Termination reason: Unknown
% 0.20/0.45  % (5101)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (5101)Memory used [KB]: 6012
% 0.20/0.45  % (5101)Time elapsed: 0.085 s
% 0.20/0.45  % (5101)Instructions burned: 183 (million)
% 0.20/0.45  % (5101)------------------------------
% 0.20/0.45  % (5101)------------------------------
% 0.20/0.45  % (5123)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)
% 0.20/0.46  % (5126)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)
% 0.20/0.46  % (5125)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46  % (5124)Instruction limit reached!
% 0.20/0.46  % (5124)------------------------------
% 0.20/0.46  % (5124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (5124)Termination reason: Unknown
% 0.20/0.46  % (5124)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (5124)Memory used [KB]: 5628
% 0.20/0.46  % (5124)Time elapsed: 0.013 s
% 0.20/0.46  % (5124)Instructions burned: 22 (million)
% 0.20/0.46  % (5124)------------------------------
% 0.20/0.46  % (5124)------------------------------
% 0.20/0.46  % (5126)Instruction limit reached!
% 0.20/0.46  % (5126)------------------------------
% 0.20/0.46  % (5126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (5126)Termination reason: Unknown
% 0.20/0.46  % (5126)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (5126)Memory used [KB]: 5500
% 0.20/0.46  % (5126)Time elapsed: 0.004 s
% 0.20/0.46  % (5126)Instructions burned: 9 (million)
% 0.20/0.46  % (5126)------------------------------
% 0.20/0.46  % (5126)------------------------------
% 0.20/0.46  % (5125)Instruction limit reached!
% 0.20/0.46  % (5125)------------------------------
% 0.20/0.46  % (5125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (5125)Termination reason: Unknown
% 0.20/0.46  % (5125)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (5125)Memory used [KB]: 5500
% 0.20/0.46  % (5125)Time elapsed: 0.005 s
% 0.20/0.46  % (5125)Instructions burned: 6 (million)
% 0.20/0.46  % (5125)------------------------------
% 0.20/0.46  % (5125)------------------------------
% 0.20/0.47  % (5128)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)
% 0.20/0.47  % (5127)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.47  % (5129)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)
% 0.20/0.48  % (5106)Instruction limit reached!
% 0.20/0.48  % (5106)------------------------------
% 0.20/0.48  % (5106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (5106)Termination reason: Unknown
% 0.20/0.48  % (5106)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (5106)Memory used [KB]: 5756
% 0.20/0.48  % (5106)Time elapsed: 0.120 s
% 0.20/0.48  % (5106)Instructions burned: 275 (million)
% 0.20/0.48  % (5106)------------------------------
% 0.20/0.48  % (5106)------------------------------
% 0.20/0.48  % (5129)Instruction limit reached!
% 0.20/0.48  % (5129)------------------------------
% 0.20/0.48  % (5129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (5129)Termination reason: Unknown
% 0.20/0.48  % (5129)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (5129)Memory used [KB]: 5500
% 0.20/0.48  % (5129)Time elapsed: 0.011 s
% 0.20/0.48  % (5129)Instructions burned: 19 (million)
% 0.20/0.48  % (5129)------------------------------
% 0.20/0.48  % (5129)------------------------------
% 0.20/0.48  % (5130)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)
% 0.20/0.50  % (5131)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.50  % (5132)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50  % (5132)Instruction limit reached!
% 0.20/0.50  % (5132)------------------------------
% 0.20/0.50  % (5132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (5132)Termination reason: Unknown
% 0.20/0.50  % (5132)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (5132)Memory used [KB]: 1023
% 0.20/0.50  % (5132)Time elapsed: 0.002 s
% 0.20/0.50  % (5132)Instructions burned: 3 (million)
% 0.20/0.50  % (5132)------------------------------
% 0.20/0.50  % (5132)------------------------------
% 0.20/0.50  % (5131)Instruction limit reached!
% 0.20/0.50  % (5131)------------------------------
% 0.20/0.50  % (5131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (5131)Termination reason: Unknown
% 0.20/0.50  % (5131)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (5131)Memory used [KB]: 5500
% 0.20/0.50  % (5131)Time elapsed: 0.011 s
% 0.20/0.50  % (5131)Instructions burned: 17 (million)
% 0.20/0.50  % (5131)------------------------------
% 0.20/0.50  % (5131)------------------------------
% 0.20/0.52  % (5133)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.53  % (5134)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.53  % (5133)Instruction limit reached!
% 0.20/0.53  % (5133)------------------------------
% 0.20/0.53  % (5133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53  % (5133)Termination reason: Unknown
% 0.20/0.53  % (5133)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (5133)Memory used [KB]: 5628
% 0.20/0.53  % (5133)Time elapsed: 0.018 s
% 0.20/0.53  % (5133)Instructions burned: 31 (million)
% 0.20/0.53  % (5133)------------------------------
% 0.20/0.53  % (5133)------------------------------
% 0.20/0.56  % (5135)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.71/0.59  % (5134)Instruction limit reached!
% 1.71/0.59  % (5134)------------------------------
% 1.71/0.59  % (5134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.59  % (5134)Termination reason: Unknown
% 1.71/0.59  % (5134)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (5134)Memory used [KB]: 5628
% 1.71/0.59  % (5134)Time elapsed: 0.081 s
% 1.71/0.59  % (5134)Instructions burned: 129 (million)
% 1.71/0.59  % (5134)------------------------------
% 1.71/0.59  % (5134)------------------------------
% 1.71/0.59  % (5135)Instruction limit reached!
% 1.71/0.59  % (5135)------------------------------
% 1.71/0.59  % (5135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.59  % (5135)Termination reason: Unknown
% 1.71/0.59  % (5135)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (5135)Memory used [KB]: 5756
% 1.71/0.59  % (5135)Time elapsed: 0.070 s
% 1.71/0.59  % (5135)Instructions burned: 101 (million)
% 1.71/0.59  % (5135)------------------------------
% 1.71/0.59  % (5135)------------------------------
% 1.90/0.60  % (5137)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.90/0.61  % (5136)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.90/0.61  % (5136)Instruction limit reached!
% 1.90/0.61  % (5136)------------------------------
% 1.90/0.61  % (5136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.61  % (5136)Termination reason: Unknown
% 1.90/0.61  % (5136)Termination phase: Saturation
% 1.90/0.61  
% 1.90/0.61  % (5136)Memory used [KB]: 5500
% 1.90/0.61  % (5136)Time elapsed: 0.037 s
% 1.90/0.61  % (5136)Instructions burned: 4 (million)
% 1.90/0.61  % (5136)------------------------------
% 1.90/0.61  % (5136)------------------------------
% 1.90/0.62  % (5137)Instruction limit reached!
% 1.90/0.62  % (5137)------------------------------
% 1.90/0.62  % (5137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.62  % (5137)Termination reason: Unknown
% 1.90/0.62  % (5137)Termination phase: Saturation
% 1.90/0.62  
% 1.90/0.62  % (5137)Memory used [KB]: 5500
% 1.90/0.62  % (5137)Time elapsed: 0.036 s
% 1.90/0.62  % (5137)Instructions burned: 20 (million)
% 1.90/0.62  % (5137)------------------------------
% 1.90/0.62  % (5137)------------------------------
% 1.90/0.62  % (5139)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.09/0.64  % (5138)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.09/0.65  % (5127)Instruction limit reached!
% 2.09/0.65  % (5127)------------------------------
% 2.09/0.65  % (5127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.65  % (5127)Termination reason: Unknown
% 2.09/0.65  % (5127)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (5127)Memory used [KB]: 6140
% 2.09/0.65  % (5127)Time elapsed: 0.204 s
% 2.09/0.65  % (5127)Instructions burned: 378 (million)
% 2.09/0.65  % (5127)------------------------------
% 2.09/0.65  % (5127)------------------------------
% 2.09/0.66  % (5139)Instruction limit reached!
% 2.09/0.66  % (5139)------------------------------
% 2.09/0.66  % (5139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.66  % (5139)Termination reason: Unknown
% 2.09/0.66  % (5139)Termination phase: Saturation
% 2.09/0.66  
% 2.09/0.66  % (5139)Memory used [KB]: 5756
% 2.09/0.66  % (5139)Time elapsed: 0.056 s
% 2.09/0.66  % (5139)Instructions burned: 110 (million)
% 2.09/0.66  % (5139)------------------------------
% 2.09/0.66  % (5139)------------------------------
% 2.09/0.67  % (5140)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.09/0.67  % (5141)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.09/0.68  % (5138)Instruction limit reached!
% 2.09/0.68  % (5138)------------------------------
% 2.09/0.68  % (5138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.68  % (5138)Termination reason: Unknown
% 2.09/0.68  % (5138)Termination phase: Saturation
% 2.09/0.68  
% 2.09/0.68  % (5138)Memory used [KB]: 5756
% 2.09/0.68  % (5138)Time elapsed: 0.069 s
% 2.09/0.68  % (5138)Instructions burned: 86 (million)
% 2.09/0.68  % (5138)------------------------------
% 2.09/0.68  % (5138)------------------------------
% 2.09/0.68  % (5140)Instruction limit reached!
% 2.09/0.68  % (5140)------------------------------
% 2.09/0.68  % (5140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.68  % (5140)Termination reason: Unknown
% 2.09/0.68  % (5140)Termination phase: Saturation
% 2.09/0.68  
% 2.09/0.68  % (5140)Memory used [KB]: 5756
% 2.09/0.68  % (5140)Time elapsed: 0.041 s
% 2.09/0.68  % (5140)Instructions burned: 39 (million)
% 2.09/0.68  % (5140)------------------------------
% 2.09/0.68  % (5140)------------------------------
% 2.09/0.68  % (5121)Refutation not found, non-redundant clauses discarded% (5121)------------------------------
% 2.09/0.68  % (5121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.68  % (5121)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.09/0.68  
% 2.09/0.69  % (5121)Memory used [KB]: 6012
% 2.09/0.69  % (5121)Time elapsed: 0.268 s
% 2.09/0.69  % (5121)Instructions burned: 693 (million)
% 2.09/0.69  % (5121)------------------------------
% 2.09/0.69  % (5121)------------------------------
% 2.09/0.69  % (5142)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.09/0.69  % (5143)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.09/0.69  % (5144)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.09/0.70  % (5142)Instruction limit reached!
% 2.09/0.70  % (5142)------------------------------
% 2.09/0.70  % (5142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.70  % (5142)Termination reason: Unknown
% 2.09/0.70  % (5142)Termination phase: Saturation
% 2.09/0.70  
% 2.09/0.70  % (5142)Memory used [KB]: 5628
% 2.09/0.70  % (5142)Time elapsed: 0.039 s
% 2.09/0.70  % (5142)Instructions burned: 47 (million)
% 2.09/0.70  % (5142)------------------------------
% 2.09/0.70  % (5142)------------------------------
% 2.09/0.71  % (5145)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.09/0.72  % (5128)Instruction limit reached!
% 2.09/0.72  % (5128)------------------------------
% 2.09/0.72  % (5128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.72  % (5128)Termination reason: Unknown
% 2.09/0.72  % (5128)Termination phase: Saturation
% 2.09/0.72  
% 2.09/0.72  % (5128)Memory used [KB]: 6396
% 2.09/0.72  % (5128)Time elapsed: 0.253 s
% 2.09/0.72  % (5128)Instructions burned: 779 (million)
% 2.09/0.72  % (5128)------------------------------
% 2.09/0.72  % (5128)------------------------------
% 2.09/0.72  % (5143)Instruction limit reached!
% 2.09/0.72  % (5143)------------------------------
% 2.09/0.72  % (5143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.09/0.72  % (5143)Termination reason: Unknown
% 2.09/0.72  % (5143)Termination phase: Saturation
% 2.09/0.72  
% 2.09/0.73  % (5143)Memory used [KB]: 1279
% 2.09/0.73  % (5143)Time elapsed: 0.056 s
% 2.09/0.73  % (5143)Instructions burned: 101 (million)
% 2.09/0.73  % (5143)------------------------------
% 2.09/0.73  % (5143)------------------------------
% 2.73/0.73  % (5112)First to succeed.
% 2.73/0.73  % (5147)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.73/0.74  % (5146)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.73/0.74  % (5112)Refutation found. Thanks to Tanya!
% 2.73/0.74  % SZS status Theorem for theBenchmark
% 2.73/0.74  % SZS output start Proof for theBenchmark
% 2.73/0.74  thf(func_def_3, type, cP: $i > $i > $i > $o).
% 2.73/0.74  thf(func_def_21, type, ph1: !>[X0: $tType]:(X0)).
% 2.73/0.74  thf(f2480,plain,(
% 2.73/0.74    $false),
% 2.73/0.74    inference(trivial_inequality_removal,[],[f2479])).
% 2.73/0.74  thf(f2479,plain,(
% 2.73/0.74    ($true = $false)),
% 2.73/0.74    inference(boolean_simplification,[],[f2478])).
% 2.73/0.74  thf(f2478,plain,(
% 2.73/0.74    ((~ $true) = $true)),
% 2.73/0.74    inference(forward_demodulation,[],[f2477,f294])).
% 2.73/0.74  thf(f294,plain,(
% 2.73/0.74    ((cP @ ab @ b @ a) = $true)),
% 2.73/0.74    inference(superposition,[],[f122,f37])).
% 2.73/0.74  thf(f37,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (((cP @ X1 @ e @ X1) = $true)) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f36])).
% 2.73/0.74  thf(f36,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (cP @ Y0 @ e @ Y0)) @ X1))) )),
% 2.73/0.74    inference(pi_clausification,[],[f31])).
% 2.73/0.74  thf(f31,plain,(
% 2.73/0.74    ($true = (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))))),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f27])).
% 2.73/0.74  thf(f27,plain,(
% 2.73/0.74    ($true = ((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))))),
% 2.73/0.74    inference(boolean_simplification,[],[f26])).
% 2.73/0.74  thf(f26,plain,(
% 2.73/0.74    ((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & $true) = $true)),
% 2.73/0.74    inference(backward_demodulation,[],[f23,f24])).
% 2.73/0.74  thf(f24,plain,(
% 2.73/0.74    ((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e))) = $true)),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f23])).
% 2.73/0.74  thf(f23,plain,(
% 2.73/0.74    ((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) = $true)),
% 2.73/0.74    inference(boolean_simplification,[],[f22])).
% 2.73/0.74  thf(f22,plain,(
% 2.73/0.74    ($true = ((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) & $true))),
% 2.73/0.74    inference(backward_demodulation,[],[f11,f20])).
% 2.73/0.74  thf(f20,plain,(
% 2.73/0.74    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5))))))))))))))))),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f11])).
% 2.73/0.74  thf(f11,plain,(
% 2.73/0.74    ($true = ((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5)))))))))))))))))),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f7])).
% 2.73/0.74  thf(f7,plain,(
% 2.73/0.74    ((((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5)))))))))))))))) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab))) = $false)),
% 2.73/0.74    inference(not_proxy_clausification,[],[f6])).
% 2.73/0.74  thf(f6,plain,(
% 2.73/0.74    ($true = (~ (((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5)))))))))))))))) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab)))))),
% 2.73/0.74    inference(cnf_transformation,[],[f5])).
% 2.73/0.74  thf(f5,plain,(
% 2.73/0.74    ($true = (~ (((((!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ e @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))) & (!! @ $i @ (^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5)))))))))))))))) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab)))))),
% 2.73/0.74    inference(fool_elimination,[],[f4])).
% 2.73/0.74  thf(f4,plain,(
% 2.73/0.74    ~((! [X0,X1,X2,X3,X4,X5] : (((cP @ X3 @ X5 @ X1) & (cP @ X2 @ X3 @ X4)) => ((cP @ X4 @ X5 @ X0) <=> (cP @ X2 @ X1 @ X0))) & ! [X6] : (cP @ X6 @ X6 @ e) & ! [X7] : (cP @ e @ X7 @ X7) & ! [X8] : (cP @ X8 @ e @ X8)) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab)))),
% 2.73/0.74    inference(rectify,[],[f2])).
% 2.73/0.74  thf(f2,negated_conjecture,(
% 2.73/0.74    ~((! [X5,X4,X0,X1,X3,X2] : (((cP @ X1 @ X2 @ X4) & (cP @ X0 @ X1 @ X3)) => ((cP @ X3 @ X2 @ X5) <=> (cP @ X0 @ X4 @ X5))) & ! [X2] : (cP @ X2 @ X2 @ e) & ! [X0] : (cP @ e @ X0 @ X0) & ! [X1] : (cP @ X1 @ e @ X1)) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab)))),
% 2.73/0.74    inference(negated_conjecture,[],[f1])).
% 2.73/0.74  thf(f1,conjecture,(
% 2.73/0.74    (! [X5,X4,X0,X1,X3,X2] : (((cP @ X1 @ X2 @ X4) & (cP @ X0 @ X1 @ X3)) => ((cP @ X3 @ X2 @ X5) <=> (cP @ X0 @ X4 @ X5))) & ! [X2] : (cP @ X2 @ X2 @ e) & ! [X0] : (cP @ e @ X0 @ X0) & ! [X1] : (cP @ X1 @ e @ X1)) => ((cP @ a @ b @ ab) => (cP @ b @ a @ ab))),
% 2.73/0.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM105)).
% 2.73/0.74  thf(f122,plain,(
% 2.73/0.74    ( ! [X0 : $i] : (((cP @ ab @ b @ X0) = (cP @ a @ e @ X0))) )),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f121])).
% 2.73/0.74  thf(f121,plain,(
% 2.73/0.74    ( ! [X0 : $i] : (($true = ((cP @ ab @ b @ X0) = (cP @ a @ e @ X0)))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f104])).
% 2.73/0.74  thf(f104,plain,(
% 2.73/0.74    ( ! [X0 : $i] : ((($true => ((cP @ ab @ b @ X0) = (cP @ a @ e @ X0))) = $true)) )),
% 2.73/0.74    inference(superposition,[],[f72,f17])).
% 2.73/0.74  thf(f17,plain,(
% 2.73/0.74    ((cP @ a @ b @ ab) = $true)),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f10])).
% 2.73/0.74  thf(f10,plain,(
% 2.73/0.74    (((cP @ a @ b @ ab) => (cP @ b @ a @ ab)) = $false)),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f7])).
% 2.73/0.74  thf(f72,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = ((cP @ X1 @ X0 @ X2) => ((cP @ X2 @ X0 @ X3) = (cP @ X1 @ e @ X3))))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f63])).
% 2.73/0.74  thf(f63,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((((cP @ X1 @ X0 @ X2) & $true) => ((cP @ X2 @ X0 @ X3) = (cP @ X1 @ e @ X3))) = $true)) )),
% 2.73/0.74    inference(superposition,[],[f49,f29])).
% 2.73/0.74  thf(f29,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (((cP @ X1 @ X1 @ e) = $true)) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f28])).
% 2.73/0.74  thf(f28,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (cP @ Y0 @ Y0 @ e)) @ X1))) )),
% 2.73/0.74    inference(pi_clausification,[],[f24])).
% 2.73/0.74  thf(f49,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (((cP @ X4 @ X3 @ X2) & (cP @ X3 @ X1 @ X5)) => ((cP @ X2 @ X1 @ X6) = (cP @ X4 @ X5 @ X6))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f48])).
% 2.73/0.74  thf(f48,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: (((cP @ X4 @ X3 @ X2) & (cP @ X3 @ X1 @ X5)) => ((cP @ X2 @ X1 @ Y0) = (cP @ X4 @ X5 @ Y0)))) @ X6))) )),
% 2.73/0.74    inference(pi_clausification,[],[f47])).
% 2.73/0.74  thf(f47,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((cP @ X4 @ X3 @ X2) & (cP @ X3 @ X1 @ X5)) => ((cP @ X2 @ X1 @ Y0) = (cP @ X4 @ X5 @ Y0))))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f46])).
% 2.73/0.74  thf(f46,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cP @ X4 @ X3 @ X2) & (cP @ X3 @ X1 @ Y0)) => ((cP @ X2 @ X1 @ Y1) = (cP @ X4 @ Y0 @ Y1)))))) @ X5))) )),
% 2.73/0.74    inference(pi_clausification,[],[f45])).
% 2.73/0.74  thf(f45,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cP @ X4 @ X3 @ X2) & (cP @ X3 @ X1 @ Y0)) => ((cP @ X2 @ X1 @ Y1) = (cP @ X4 @ Y0 @ Y1))))))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f44])).
% 2.73/0.74  thf(f44,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((cP @ Y0 @ X3 @ X2) & (cP @ X3 @ X1 @ Y1)) => ((cP @ X2 @ X1 @ Y2) = (cP @ Y0 @ Y1 @ Y2)))))))) @ X4) = $true)) )),
% 2.73/0.74    inference(pi_clausification,[],[f43])).
% 2.73/0.74  thf(f43,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((cP @ Y0 @ X3 @ X2) & (cP @ X3 @ X1 @ Y1)) => ((cP @ X2 @ X1 @ Y2) = (cP @ Y0 @ Y1 @ Y2))))))))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f42])).
% 2.73/0.74  thf(f42,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((cP @ Y1 @ Y0 @ X2) & (cP @ Y0 @ X1 @ Y2)) => ((cP @ X2 @ X1 @ Y3) = (cP @ Y1 @ Y2 @ Y3)))))))))) @ X3))) )),
% 2.73/0.74    inference(pi_clausification,[],[f41])).
% 2.73/0.74  thf(f41,plain,(
% 2.73/0.74    ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((cP @ Y1 @ Y0 @ X2) & (cP @ Y0 @ X1 @ Y2)) => ((cP @ X2 @ X1 @ Y3) = (cP @ Y1 @ Y2 @ Y3))))))))))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f40])).
% 2.73/0.74  thf(f40,plain,(
% 2.73/0.74    ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((cP @ Y2 @ Y1 @ Y0) & (cP @ Y1 @ X1 @ Y3)) => ((cP @ Y0 @ X1 @ Y4) = (cP @ Y2 @ Y3 @ Y4)))))))))))) @ X2) = $true)) )),
% 2.73/0.74    inference(pi_clausification,[],[f39])).
% 2.73/0.74  thf(f39,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((cP @ Y2 @ Y1 @ Y0) & (cP @ Y1 @ X1 @ Y3)) => ((cP @ Y0 @ X1 @ Y4) = (cP @ Y2 @ Y3 @ Y4))))))))))))))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f38])).
% 2.73/0.74  thf(f38,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((cP @ Y3 @ Y2 @ Y1) & (cP @ Y2 @ Y0 @ Y4)) => ((cP @ Y1 @ Y0 @ Y5) = (cP @ Y3 @ Y4 @ Y5)))))))))))))) @ X1))) )),
% 2.73/0.74    inference(pi_clausification,[],[f20])).
% 2.73/0.74  thf(f2477,plain,(
% 2.73/0.74    ((~ (cP @ ab @ b @ a)) = $true)),
% 2.73/0.74    inference(boolean_simplification,[],[f2437])).
% 2.73/0.74  thf(f2437,plain,(
% 2.73/0.74    ($true = ((cP @ ab @ b @ a) => $false))),
% 2.73/0.74    inference(superposition,[],[f289,f1260])).
% 2.73/0.74  thf(f1260,plain,(
% 2.73/0.74    ((cP @ ab @ a @ b) = $false)),
% 2.73/0.74    inference(not_proxy_clausification,[],[f1167])).
% 2.73/0.74  thf(f1167,plain,(
% 2.73/0.74    ((~ (cP @ ab @ a @ b)) = $true)),
% 2.73/0.74    inference(boolean_simplification,[],[f1135])).
% 2.73/0.74  thf(f1135,plain,(
% 2.73/0.74    (((cP @ ab @ a @ b) => $false) = $true)),
% 2.73/0.74    inference(superposition,[],[f118,f19])).
% 2.73/0.74  thf(f19,plain,(
% 2.73/0.74    ((cP @ b @ a @ ab) = $false)),
% 2.73/0.74    inference(boolean_simplification,[],[f18])).
% 2.73/0.74  thf(f18,plain,(
% 2.73/0.74    (($true => (cP @ b @ a @ ab)) = $false)),
% 2.73/0.74    inference(backward_demodulation,[],[f10,f17])).
% 2.73/0.74  thf(f118,plain,(
% 2.73/0.74    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((cP @ X0 @ X1 @ X2) => (cP @ X2 @ X1 @ X0)))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f96])).
% 2.73/0.74  thf(f96,plain,(
% 2.73/0.74    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((cP @ X0 @ X1 @ X2) => ((cP @ X2 @ X1 @ X0) = $true)))) )),
% 2.73/0.74    inference(superposition,[],[f72,f37])).
% 2.73/0.74  thf(f289,plain,(
% 2.73/0.74    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((cP @ X0 @ X1 @ X2) => (cP @ X0 @ X2 @ X1)))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f288])).
% 2.73/0.74  thf(f288,plain,(
% 2.73/0.74    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((($true & (cP @ X0 @ X1 @ X2)) => (cP @ X0 @ X2 @ X1)) = $true)) )),
% 2.73/0.74    inference(forward_demodulation,[],[f270,f29])).
% 2.73/0.74  thf(f270,plain,(
% 2.73/0.74    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((((cP @ e @ e @ e) & (cP @ X0 @ X1 @ X2)) => (cP @ X0 @ X2 @ X1)) = $true)) )),
% 2.73/0.74    inference(superposition,[],[f75,f109])).
% 2.73/0.74  thf(f109,plain,(
% 2.73/0.74    ( ! [X0 : $i,X1 : $i] : (((cP @ X0 @ X0 @ X1) = (cP @ e @ e @ X1))) )),
% 2.73/0.74    inference(binary_proxy_clausification,[],[f108])).
% 2.73/0.74  thf(f108,plain,(
% 2.73/0.74    ( ! [X0 : $i,X1 : $i] : (($true = ((cP @ X0 @ X0 @ X1) = (cP @ e @ e @ X1)))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f106])).
% 2.73/0.74  thf(f106,plain,(
% 2.73/0.74    ( ! [X0 : $i,X1 : $i] : (($true = ($true => ((cP @ X0 @ X0 @ X1) = (cP @ e @ e @ X1))))) )),
% 2.73/0.74    inference(superposition,[],[f72,f35])).
% 2.73/0.74  thf(f35,plain,(
% 2.73/0.74    ( ! [X1 : $i] : (($true = (cP @ e @ X1 @ X1))) )),
% 2.73/0.74    inference(beta_eta_normalization,[],[f34])).
% 2.73/0.74  thf(f34,plain,(
% 2.73/0.74    ( ! [X1 : $i] : ((((^[Y0 : $i]: (cP @ e @ Y0 @ Y0)) @ X1) = $true)) )),
% 2.73/0.74    inference(pi_clausification,[],[f33])).
% 2.73/0.74  thf(f33,plain,(
% 2.73/0.74    ((!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0))) = $true)),
% 2.73/0.74    inference(boolean_simplification,[],[f32])).
% 2.73/0.74  thf(f32,plain,(
% 2.73/0.74    ($true = ($true & (!! @ $i @ (^[Y0 : $i]: (cP @ e @ Y0 @ Y0)))))),
% 2.73/0.74    inference(backward_demodulation,[],[f27,f31])).
% 2.73/0.74  thf(f75,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (((cP @ X1 @ X2 @ e) & (cP @ X2 @ X0 @ X3)) => (cP @ X1 @ X3 @ X0)))) )),
% 2.73/0.74    inference(boolean_simplification,[],[f59])).
% 2.73/0.74  thf(f59,plain,(
% 2.73/0.74    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (((cP @ X1 @ X2 @ e) & (cP @ X2 @ X0 @ X3)) => ($true = (cP @ X1 @ X3 @ X0))))) )),
% 2.73/0.74    inference(superposition,[],[f49,f35])).
% 2.73/0.74  % SZS output end Proof for theBenchmark
% 2.73/0.74  % (5112)------------------------------
% 2.73/0.74  % (5112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.74  % (5112)Termination reason: Refutation
% 2.73/0.74  
% 2.73/0.74  % (5112)Memory used [KB]: 8059
% 2.73/0.74  % (5112)Time elapsed: 0.353 s
% 2.73/0.74  % (5112)Instructions burned: 696 (million)
% 2.73/0.74  % (5112)------------------------------
% 2.73/0.74  % (5112)------------------------------
% 2.73/0.74  % (5100)Success in time 0.388 s
% 2.73/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------