TSTP Solution File: ITP137^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP137^2 : TPTP v8.2.0. Released v7.5.0.
% 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 : n010.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 : Mon May 20 22:33:56 EDT 2024

% Result   : Theorem 2.20s 0.66s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP137^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 16:53:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH1_THM_EQU_NAR problem
% 0.14/0.36  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
% 0.22/0.40  % (23370)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)
% 0.22/0.40  % (23374)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40  % (23375)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)
% 0.22/0.40  % (23368)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40  % (23371)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40  % (23372)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)
% 0.22/0.40  % (23369)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)
% 0.22/0.40  % (23373)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)
% 0.22/0.40  % (23371)Instruction limit reached!
% 0.22/0.40  % (23371)------------------------------
% 0.22/0.40  % (23371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (23371)Termination reason: Unknown
% 0.22/0.40  % (23371)Termination phase: shuffling
% 0.22/0.40  % (23372)Instruction limit reached!
% 0.22/0.40  % (23372)------------------------------
% 0.22/0.40  % (23372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (23372)Termination reason: Unknown
% 0.22/0.40  % (23372)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (23372)Memory used [KB]: 1407
% 0.22/0.40  % (23372)Time elapsed: 0.003 s
% 0.22/0.40  % (23372)Instructions burned: 2 (million)
% 0.22/0.40  % (23372)------------------------------
% 0.22/0.40  % (23372)------------------------------
% 0.22/0.40  
% 0.22/0.40  % (23371)Memory used [KB]: 1407
% 0.22/0.40  % (23371)Time elapsed: 0.003 s
% 0.22/0.40  % (23371)Instructions burned: 2 (million)
% 0.22/0.40  % (23371)------------------------------
% 0.22/0.40  % (23371)------------------------------
% 0.22/0.40  % (23375)Instruction limit reached!
% 0.22/0.40  % (23375)------------------------------
% 0.22/0.40  % (23375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (23375)Termination reason: Unknown
% 0.22/0.40  % (23375)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (23375)Memory used [KB]: 1407
% 0.22/0.40  % (23375)Time elapsed: 0.004 s
% 0.22/0.40  % (23375)Instructions burned: 3 (million)
% 0.22/0.40  % (23375)------------------------------
% 0.22/0.40  % (23375)------------------------------
% 0.22/0.40  % (23369)Instruction limit reached!
% 0.22/0.40  % (23369)------------------------------
% 0.22/0.40  % (23369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (23369)Termination reason: Unknown
% 0.22/0.40  % (23369)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (23369)Memory used [KB]: 1407
% 0.22/0.40  % (23369)Time elapsed: 0.004 s
% 0.22/0.40  % (23369)Instructions burned: 4 (million)
% 0.22/0.40  % (23369)------------------------------
% 0.22/0.40  % (23369)------------------------------
% 0.22/0.41  % (23374)Instruction limit reached!
% 0.22/0.41  % (23374)------------------------------
% 0.22/0.41  % (23374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (23374)Termination reason: Unknown
% 0.22/0.41  % (23374)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (23374)Memory used [KB]: 1791
% 0.22/0.41  % (23374)Time elapsed: 0.012 s
% 0.22/0.41  % (23374)Instructions burned: 18 (million)
% 0.22/0.41  % (23374)------------------------------
% 0.22/0.41  % (23374)------------------------------
% 0.22/0.42  % (23370)Instruction limit reached!
% 0.22/0.42  % (23370)------------------------------
% 0.22/0.42  % (23370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (23370)Termination reason: Unknown
% 0.22/0.42  % (23370)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (23370)Memory used [KB]: 2046
% 0.22/0.42  % (23370)Time elapsed: 0.016 s
% 0.22/0.42  % (23370)Instructions burned: 27 (million)
% 0.22/0.42  % (23370)------------------------------
% 0.22/0.42  % (23370)------------------------------
% 0.22/0.42  % (23377)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)
% 0.22/0.42  % (23376)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)
% 0.22/0.42  % (23378)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)
% 0.22/0.42  % (23379)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)
% 0.22/0.42  % (23378)Instruction limit reached!
% 0.22/0.42  % (23378)------------------------------
% 0.22/0.42  % (23378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (23378)Termination reason: Unknown
% 0.22/0.42  % (23378)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (23378)Memory used [KB]: 1535
% 0.22/0.42  % (23378)Time elapsed: 0.004 s
% 0.22/0.42  % (23378)Instructions burned: 4 (million)
% 0.22/0.42  % (23378)------------------------------
% 0.22/0.42  % (23378)------------------------------
% 0.22/0.43  % (23377)Instruction limit reached!
% 0.22/0.43  % (23377)------------------------------
% 0.22/0.43  % (23377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (23377)Termination reason: Unknown
% 0.22/0.43  % (23377)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (23377)Memory used [KB]: 1791
% 0.22/0.43  % (23377)Time elapsed: 0.010 s
% 0.22/0.43  % (23377)Instructions burned: 15 (million)
% 0.22/0.43  % (23377)------------------------------
% 0.22/0.43  % (23377)------------------------------
% 0.22/0.43  % (23380)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43  % (23373)Refutation not found, incomplete strategy
% 0.22/0.43  % (23373)------------------------------
% 0.22/0.43  % (23373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (23373)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  
% 0.22/0.43  % (23373)Memory used [KB]: 6524
% 0.22/0.43  % (23373)Time elapsed: 0.029 s
% 0.22/0.43  % (23373)Instructions burned: 43 (million)
% 0.22/0.43  % (23373)------------------------------
% 0.22/0.43  % (23373)------------------------------
% 0.22/0.43  % (23381)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43  % (23380)Instruction limit reached!
% 0.22/0.43  % (23380)------------------------------
% 0.22/0.43  % (23380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (23380)Termination reason: Unknown
% 0.22/0.43  % (23380)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (23380)Memory used [KB]: 1535
% 0.22/0.43  % (23380)Time elapsed: 0.007 s
% 0.22/0.43  % (23380)Instructions burned: 8 (million)
% 0.22/0.43  % (23380)------------------------------
% 0.22/0.43  % (23380)------------------------------
% 0.22/0.44  % (23382)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)
% 0.22/0.44  % (23381)Instruction limit reached!
% 0.22/0.44  % (23381)------------------------------
% 0.22/0.44  % (23381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (23381)Termination reason: Unknown
% 0.22/0.44  % (23382)Instruction limit reached!
% 0.22/0.44  % (23382)------------------------------
% 0.22/0.44  % (23382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (23382)Termination reason: Unknown
% 0.22/0.44  % (23382)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (23382)Memory used [KB]: 1407
% 0.22/0.44  % (23382)Time elapsed: 0.004 s
% 0.22/0.44  % (23382)Instructions burned: 3 (million)
% 0.22/0.44  % (23382)------------------------------
% 0.22/0.44  % (23382)------------------------------
% 0.22/0.44  % (23381)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (23381)Memory used [KB]: 1791
% 0.22/0.44  % (23381)Time elapsed: 0.010 s
% 0.22/0.44  % (23381)Instructions burned: 17 (million)
% 0.22/0.44  % (23381)------------------------------
% 0.22/0.44  % (23381)------------------------------
% 0.22/0.44  % (23376)Instruction limit reached!
% 0.22/0.44  % (23376)------------------------------
% 0.22/0.44  % (23376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (23376)Termination reason: Unknown
% 0.22/0.44  % (23376)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (23376)Memory used [KB]: 2174
% 0.22/0.44  % (23376)Time elapsed: 0.023 s
% 0.22/0.44  % (23376)Instructions burned: 38 (million)
% 0.22/0.44  % (23376)------------------------------
% 0.22/0.44  % (23376)------------------------------
% 0.22/0.44  % (23383)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)
% 0.22/0.44  % (23383)Instruction limit reached!
% 0.22/0.44  % (23383)------------------------------
% 0.22/0.44  % (23383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (23383)Termination reason: Unknown
% 0.22/0.44  % (23383)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (23383)Memory used [KB]: 1407
% 0.22/0.44  % (23383)Time elapsed: 0.003 s
% 0.22/0.44  % (23383)Instructions burned: 3 (million)
% 0.22/0.44  % (23383)------------------------------
% 0.22/0.44  % (23383)------------------------------
% 0.22/0.45  % (23384)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)
% 0.22/0.45  % (23385)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)
% 0.22/0.45  % (23385)Instruction limit reached!
% 0.22/0.45  % (23385)------------------------------
% 0.22/0.45  % (23385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (23385)Termination reason: Unknown
% 0.22/0.45  % (23385)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (23385)Memory used [KB]: 1407
% 0.22/0.45  % (23385)Time elapsed: 0.004 s
% 0.22/0.45  % (23385)Instructions burned: 4 (million)
% 0.22/0.45  % (23385)------------------------------
% 0.22/0.45  % (23385)------------------------------
% 0.22/0.45  % (23384)Instruction limit reached!
% 0.22/0.45  % (23384)------------------------------
% 0.22/0.45  % (23384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (23384)Termination reason: Unknown
% 0.22/0.45  % (23384)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (23384)Memory used [KB]: 1535
% 0.22/0.45  % (23384)Time elapsed: 0.006 s
% 0.22/0.45  % (23384)Instructions burned: 7 (million)
% 0.22/0.45  % (23384)------------------------------
% 0.22/0.45  % (23384)------------------------------
% 0.22/0.45  % (23386)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46  % (23387)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)
% 0.22/0.46  % (23386)Instruction limit reached!
% 0.22/0.46  % (23386)------------------------------
% 0.22/0.46  % (23386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (23386)Termination reason: Unknown
% 0.22/0.46  % (23386)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (23386)Memory used [KB]: 1535
% 0.22/0.46  % (23386)Time elapsed: 0.004 s
% 0.22/0.46  % (23386)Instructions burned: 4 (million)
% 0.22/0.46  % (23388)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46  % (23386)------------------------------
% 0.22/0.46  % (23386)------------------------------
% 0.22/0.46  % (23389)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46  % (23389)Instruction limit reached!
% 0.22/0.46  % (23389)------------------------------
% 0.22/0.46  % (23389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (23389)Termination reason: Unknown
% 0.22/0.46  % (23389)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (23389)Memory used [KB]: 1535
% 0.22/0.46  % (23389)Time elapsed: 0.006 s
% 0.22/0.46  % (23389)Instructions burned: 7 (million)
% 0.22/0.46  % (23389)------------------------------
% 0.22/0.46  % (23389)------------------------------
% 0.22/0.47  % (23390)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)
% 0.22/0.47  % (23387)Instruction limit reached!
% 0.22/0.47  % (23387)------------------------------
% 0.22/0.47  % (23387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (23387)Termination reason: Unknown
% 0.22/0.47  % (23387)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (23387)Memory used [KB]: 1791
% 0.22/0.47  % (23387)Time elapsed: 0.013 s
% 0.22/0.47  % (23387)Instructions burned: 18 (million)
% 0.22/0.47  % (23387)------------------------------
% 0.22/0.47  % (23387)------------------------------
% 0.22/0.47  % (23391)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)
% 0.22/0.47  % (23392)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47  % (23392)Instruction limit reached!
% 0.22/0.47  % (23392)------------------------------
% 0.22/0.47  % (23392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (23392)Termination reason: Unknown
% 0.22/0.47  % (23392)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (23392)Memory used [KB]: 1535
% 0.22/0.47  % (23392)Time elapsed: 0.005 s
% 0.22/0.47  % (23392)Instructions burned: 6 (million)
% 0.22/0.47  % (23392)------------------------------
% 0.22/0.47  % (23392)------------------------------
% 0.22/0.48  % (23393)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)
% 0.22/0.48  % (23391)Instruction limit reached!
% 0.22/0.48  % (23391)------------------------------
% 0.22/0.48  % (23391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (23391)Termination reason: Unknown
% 0.22/0.48  % (23391)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (23391)Memory used [KB]: 1918
% 0.22/0.48  % (23391)Time elapsed: 0.015 s
% 0.22/0.48  % (23391)Instructions burned: 21 (million)
% 0.22/0.48  % (23391)------------------------------
% 0.22/0.48  % (23391)------------------------------
% 0.22/0.48  % (23393)Instruction limit reached!
% 0.22/0.48  % (23393)------------------------------
% 0.22/0.48  % (23393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (23393)Termination reason: Unknown
% 0.22/0.48  % (23393)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (23393)Memory used [KB]: 1535
% 0.22/0.48  % (23393)Time elapsed: 0.006 s
% 0.22/0.48  % (23393)Instructions burned: 7 (million)
% 0.22/0.48  % (23393)------------------------------
% 0.22/0.48  % (23393)------------------------------
% 0.22/0.48  % (23394)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.49  % (23395)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)
% 0.22/0.50  % (23397)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50  % (23396)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 (2998ds/19Mi)
% 0.22/0.50  % (23368)Instruction limit reached!
% 0.22/0.50  % (23368)------------------------------
% 0.22/0.50  % (23368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50  % (23368)Termination reason: Unknown
% 0.22/0.50  % (23368)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (23368)Memory used [KB]: 7675
% 0.22/0.50  % (23368)Time elapsed: 0.102 s
% 0.22/0.50  % (23368)Instructions burned: 183 (million)
% 0.22/0.50  % (23368)------------------------------
% 0.22/0.50  % (23368)------------------------------
% 0.22/0.51  % (23396)Instruction limit reached!
% 0.22/0.51  % (23396)------------------------------
% 0.22/0.51  % (23396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51  % (23396)Termination reason: Unknown
% 0.22/0.51  % (23396)Termination phase: shuffling
% 0.22/0.51  
% 0.22/0.51  % (23396)Memory used [KB]: 1791
% 0.22/0.51  % (23396)Time elapsed: 0.013 s
% 0.22/0.51  % (23396)Instructions burned: 20 (million)
% 0.22/0.51  % (23396)------------------------------
% 0.22/0.51  % (23396)------------------------------
% 0.22/0.52  % (23398)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.52  % (23399)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.53  % (23399)Instruction limit reached!
% 0.22/0.53  % (23399)------------------------------
% 0.22/0.53  % (23399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53  % (23399)Termination reason: Unknown
% 0.22/0.53  % (23399)Termination phase: shuffling
% 0.22/0.53  
% 0.22/0.53  % (23399)Memory used [KB]: 1407
% 0.22/0.53  % (23399)Time elapsed: 0.004 s
% 0.22/0.53  % (23399)Instructions burned: 3 (million)
% 0.22/0.53  % (23399)------------------------------
% 0.22/0.53  % (23399)------------------------------
% 0.22/0.53  % (23398)Instruction limit reached!
% 0.22/0.53  % (23398)------------------------------
% 0.22/0.53  % (23398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53  % (23398)Termination reason: Unknown
% 0.22/0.53  % (23398)Termination phase: shuffling
% 0.22/0.53  
% 0.22/0.53  % (23398)Memory used [KB]: 1791
% 0.22/0.53  % (23398)Time elapsed: 0.012 s
% 0.22/0.53  % (23398)Instructions burned: 17 (million)
% 0.22/0.53  % (23398)------------------------------
% 0.22/0.53  % (23398)------------------------------
% 0.22/0.54  % (23400)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.55  % (23401)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)
% 0.22/0.56  % (23400)Instruction limit reached!
% 0.22/0.56  % (23400)------------------------------
% 0.22/0.56  % (23400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56  % (23400)Termination reason: Unknown
% 0.22/0.56  % (23400)Termination phase: shuffling
% 0.22/0.56  
% 0.22/0.56  % (23400)Memory used [KB]: 2046
% 0.22/0.56  % (23400)Time elapsed: 0.020 s
% 0.22/0.56  % (23400)Instructions burned: 30 (million)
% 0.22/0.56  % (23400)------------------------------
% 0.22/0.56  % (23400)------------------------------
% 0.22/0.58  % (23402)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)
% 1.87/0.62  % (23401)Instruction limit reached!
% 1.87/0.62  % (23401)------------------------------
% 1.87/0.62  % (23401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.87/0.62  % (23401)Termination reason: Unknown
% 1.87/0.62  % (23401)Termination phase: Saturation
% 1.87/0.62  
% 1.87/0.62  % (23401)Memory used [KB]: 7291
% 1.87/0.62  % (23401)Time elapsed: 0.074 s
% 1.87/0.62  % (23401)Instructions burned: 127 (million)
% 1.87/0.62  % (23401)------------------------------
% 1.87/0.62  % (23401)------------------------------
% 2.03/0.63  % (23403)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)
% 2.03/0.64  % (23403)Instruction limit reached!
% 2.03/0.64  % (23403)------------------------------
% 2.03/0.64  % (23403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.64  % (23403)Termination reason: Unknown
% 2.03/0.64  % (23403)Termination phase: shuffling
% 2.03/0.64  
% 2.03/0.64  % (23403)Memory used [KB]: 1407
% 2.03/0.64  % (23403)Time elapsed: 0.004 s
% 2.03/0.64  % (23403)Instructions burned: 4 (million)
% 2.03/0.64  % (23403)------------------------------
% 2.03/0.64  % (23403)------------------------------
% 2.03/0.64  % (23402)Instruction limit reached!
% 2.03/0.64  % (23402)------------------------------
% 2.03/0.64  % (23402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.64  % (23402)Termination reason: Unknown
% 2.03/0.64  % (23402)Termination phase: Preprocessing 3
% 2.03/0.64  
% 2.03/0.64  % (23402)Memory used [KB]: 2814
% 2.03/0.64  % (23402)Time elapsed: 0.063 s
% 2.03/0.64  % (23402)Instructions burned: 101 (million)
% 2.03/0.64  % (23402)------------------------------
% 2.03/0.64  % (23402)------------------------------
% 2.20/0.65  % (23404)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)
% 2.20/0.66  % (23397)First to succeed.
% 2.20/0.66  % (23405)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)
% 2.20/0.66  % (23397)Refutation found. Thanks to Tanya!
% 2.20/0.66  % SZS status Theorem for theBenchmark
% 2.20/0.66  % SZS output start Proof for theBenchmark
% 2.20/0.66  thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 2.20/0.66  thf(type_def_6, type, set: ($tType) > $tType).
% 2.20/0.66  thf(type_def_8, type, char: $tType).
% 2.20/0.66  thf(type_def_9, type, list: ($tType) > $tType).
% 2.20/0.66  thf(type_def_10, type, paraco415392788lle_tv: $tType).
% 2.20/0.66  thf(type_def_11, type, paraco414474393lle_fm: $tType).
% 2.20/0.66  thf(type_def_12, type, nat: $tType).
% 2.20/0.66  thf(type_def_13, type, product_unit: $tType).
% 2.20/0.66  thf(func_def_0, type, paraco415392788lle_tv: $tType).
% 2.20/0.66  thf(func_def_1, type, paraco414474393lle_fm: $tType).
% 2.20/0.66  thf(func_def_2, type, product_unit: $tType).
% 2.20/0.66  thf(func_def_3, type, product_prod: ($tType * $tType) > $tType).
% 2.20/0.66  thf(func_def_4, type, char: $tType).
% 2.20/0.66  thf(func_def_5, type, list: ($tType) > $tType).
% 2.20/0.66  thf(func_def_6, type, set: ($tType) > $tType).
% 2.20/0.66  thf(func_def_7, type, nat: $tType).
% 2.20/0.66  thf(func_def_8, type, fun_reduction_pair: !>[X0: $tType]:(product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o)).
% 2.20/0.66  thf(func_def_9, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:(product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1)).
% 2.20/0.66  thf(func_def_10, type, the: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_11, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 2.20/0.66  thf(func_def_12, type, order_above: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0 > set @ X0)).
% 2.20/0.66  thf(func_def_13, type, order_aboveS: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0 > set @ X0)).
% 2.20/0.66  thf(func_def_14, type, order_relation_of: !>[X0: $tType]:((X0 > X0 > $o) > set @ X0 > set @ product_prod @ X0 @ X0)).
% 2.20/0.66  thf(func_def_15, type, bot_bot: !>[X0: $tType]:(X0)).
% 2.20/0.66  thf(func_def_16, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 2.20/0.66  thf(func_def_17, type, top_top: !>[X0: $tType]:(X0)).
% 2.20/0.66  thf(func_def_18, type, paraco876059933e_eval: (list @ char > paraco415392788lle_tv) > paraco414474393lle_fm > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_19, type, paraco2100061555le_Con: paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_20, type, paraco2084319816le_Eql: paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_21, type, paraco1628874225le_Eql: paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_22, type, paraco329115265le_Neg: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_23, type, paraco27778325le_Pro: list @ char > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_24, type, paraco251304083_Truth: paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_25, type, paraco1246693743ase_fm: !>[X0: $tType]:((list @ char > X0) > X0 > (paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > paraco414474393lle_fm > X0)).
% 2.20/0.66  thf(func_def_26, type, paraco2040174112le_Det: $o > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_27, type, paraco676387099_Indet: nat > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_28, type, paraco490622181ase_tv: !>[X0: $tType]:(($o > X0) > (nat > X0) > paraco415392788lle_tv > X0)).
% 2.20/0.66  thf(func_def_29, type, paraco152590079rec_tv: !>[X0: $tType]:(($o > X0) > (nat > X0) > paraco415392788lle_tv > X0)).
% 2.20/0.66  thf(func_def_30, type, paraco769098683_valid: paraco414474393lle_fm > $o).
% 2.20/0.66  thf(func_def_31, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 2.20/0.66  thf(func_def_32, type, product_Sigma: !>[X0: $tType, X1: $tType]:(set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1)).
% 2.20/0.66  thf(func_def_33, type, product_case_bool: !>[X0: $tType]:(X0 > X0 > $o > X0)).
% 2.20/0.66  thf(func_def_34, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2)).
% 2.20/0.66  thf(func_def_35, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 2.20/0.66  thf(func_def_36, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3)).
% 2.20/0.66  thf(func_def_37, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 2.20/0.66  thf(func_def_38, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o)).
% 2.20/0.66  thf(func_def_39, type, product_rec_set_unit: !>[X0: $tType]:(X0 > product_unit > X0 > $o)).
% 2.20/0.66  thf(func_def_40, type, product_rec_unit: !>[X0: $tType]:(X0 > product_unit > X0)).
% 2.20/0.66  thf(func_def_41, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 2.20/0.66  thf(func_def_42, type, product_fst: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 2.20/0.66  thf(func_def_43, type, product_snd: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 2.20/0.66  thf(func_def_44, type, product_swap: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > product_prod @ X1 @ X0)).
% 2.20/0.66  thf(func_def_45, type, product_product: !>[X0: $tType, X1: $tType]:(set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1)).
% 2.20/0.66  thf(func_def_46, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3)).
% 2.20/0.66  thf(func_def_47, type, inv_image: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1)).
% 2.20/0.66  thf(func_def_48, type, inv_imagep: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o)).
% 2.20/0.66  thf(func_def_49, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 2.20/0.66  thf(func_def_50, type, image: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1)).
% 2.20/0.66  thf(func_def_51, type, the_elem: !>[X0: $tType]:(set @ X0 > X0)).
% 2.20/0.66  thf(func_def_52, type, lex_prod: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1)).
% 2.20/0.66  thf(func_def_53, type, same_fst: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1)).
% 2.20/0.66  thf(func_def_54, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 2.20/0.66  thf(func_def_55, type, p: paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_73, type, sP0: (paraco414474393lle_fm > $o) > $o).
% 2.20/0.66  thf(func_def_74, type, sP1: (paraco414474393lle_fm > $o) > $o).
% 2.20/0.66  thf(func_def_75, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 2.20/0.66  thf(func_def_76, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 2.20/0.66  thf(func_def_77, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 2.20/0.66  thf(func_def_78, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 2.20/0.66  thf(func_def_79, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_80, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_81, type, sK8: paraco414474393lle_fm > list @ char).
% 2.20/0.66  thf(func_def_82, type, sK9: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_83, type, sK10: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_84, type, sK11: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_85, type, sK12: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_86, type, sK13: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_87, type, sK14: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_88, type, sK15: paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_89, type, sK16: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_90, type, sK17: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_91, type, sK18: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_92, type, sK19: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_93, type, sK20: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_94, type, sK21: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_95, type, sK22: (paraco414474393lle_fm > $o) > list @ char).
% 2.20/0.66  thf(func_def_96, type, sK23: (paraco414474393lle_fm > $o) > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_97, type, sK24: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_98, type, sK25: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_99, type, sK26: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_100, type, sK27: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_101, type, sK28: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_102, type, sK29: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_103, type, sK30: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_104, type, sK31: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_105, type, sK32: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char).
% 2.20/0.66  thf(func_def_106, type, sK33: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_107, type, sK34: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_108, type, sK35: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_109, type, sK36: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv).
% 2.20/0.66  thf(func_def_110, type, sK37: product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm).
% 2.20/0.66  thf(func_def_111, type, sK38: (paraco415392788lle_tv > $o) > nat).
% 2.20/0.66  thf(func_def_112, type, sK39: (paraco415392788lle_tv > $o) > $o).
% 2.20/0.66  thf(func_def_113, type, sK40: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 2.20/0.66  thf(func_def_114, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 2.20/0.66  thf(func_def_115, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 2.20/0.66  thf(func_def_116, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_117, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_118, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 2.20/0.66  thf(func_def_119, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 2.20/0.66  thf(func_def_120, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 2.20/0.66  thf(func_def_121, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_122, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_123, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6)).
% 2.20/0.66  thf(func_def_124, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 2.20/0.66  thf(func_def_125, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 2.20/0.66  thf(func_def_126, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 2.20/0.66  thf(func_def_127, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 2.20/0.66  thf(func_def_128, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_129, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_130, type, sK57: (paraco415392788lle_tv > $o) > nat).
% 2.20/0.66  thf(func_def_131, type, sK58: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_132, type, sK59: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_133, type, sK60: paraco415392788lle_tv > nat).
% 2.20/0.66  thf(func_def_134, type, sK61: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_135, type, sK62: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_136, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 2.20/0.66  thf(func_def_137, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 2.20/0.66  thf(func_def_138, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 2.20/0.66  thf(func_def_139, type, sK66: paraco415392788lle_tv > $o).
% 2.20/0.66  thf(func_def_140, type, sK67: paraco415392788lle_tv > nat).
% 2.20/0.66  thf(func_def_142, type, ph69: !>[X0: $tType]:(X0)).
% 2.20/0.66  thf(f1595,plain,(
% 2.20/0.66    $false),
% 2.20/0.66    inference(avatar_sat_refutation,[],[f958,f1202,f1381,f1556,f1593])).
% 2.20/0.66  thf(f1593,plain,(
% 2.20/0.66    ~spl68_9),
% 2.20/0.66    inference(avatar_contradiction_clause,[],[f1592])).
% 2.20/0.66  thf(f1592,plain,(
% 2.20/0.66    $false | ~spl68_9),
% 2.20/0.66    inference(subsumption_resolution,[],[f1584,f1170])).
% 2.20/0.66  thf(f1170,plain,(
% 2.20/0.66    ( ! [X2 : $o] : (($true = X2)) ) | ~spl68_9),
% 2.20/0.66    inference(avatar_component_clause,[],[f1169])).
% 2.20/0.66  thf(f1169,plain,(
% 2.20/0.66    spl68_9 <=> ! [X2 : $o] : ($true = X2)),
% 2.20/0.66    introduced(avatar_definition,[new_symbols(naming,[spl68_9])])).
% 2.20/0.66  thf(f1584,plain,(
% 2.20/0.66    ( ! [X0 : paraco414474393lle_fm > $o] : (($true != (X0 @ (paraco1628874225le_Eql @ (sK18 @ X0) @ (sK19 @ X0))))) ) | ~spl68_9),
% 2.20/0.66    inference(trivial_inequality_removal,[],[f1557])).
% 2.20/0.66  thf(f1557,plain,(
% 2.20/0.66    ( ! [X0 : paraco414474393lle_fm > $o] : (($true != (X0 @ (paraco1628874225le_Eql @ (sK18 @ X0) @ (sK19 @ X0)))) | ($true != $true)) ) | ~spl68_9),
% 2.20/0.66    inference(backward_demodulation,[],[f741,f1170])).
% 2.20/0.66  thf(f741,plain,(
% 2.20/0.66    ( ! [X0 : paraco414474393lle_fm > $o] : (($true != (X0 @ (paraco1628874225le_Eql @ (sK18 @ X0) @ (sK19 @ X0)))) | ($true != (sP0 @ X0))) )),
% 2.20/0.66    inference(cnf_transformation,[],[f694])).
% 2.20/0.66  thf(f694,plain,(
% 2.20/0.66    ! [X0 : paraco414474393lle_fm > $o] : ((($true = (X0 @ (sK19 @ X0))) & ($true = (X0 @ (sK18 @ X0))) & ($true != (X0 @ (paraco1628874225le_Eql @ (sK18 @ X0) @ (sK19 @ X0))))) | ($true != (sP0 @ X0)))),
% 2.20/0.66    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f692,f693])).
% 2.20/0.66  thf(f693,plain,(
% 2.20/0.66    ! [X0 : paraco414474393lle_fm > $o] : (? [X1 : paraco414474393lle_fm,X2 : paraco414474393lle_fm] : (($true = (X0 @ X2)) & ($true = (X0 @ X1)) & ($true != (X0 @ (paraco1628874225le_Eql @ X1 @ X2)))) => (($true = (X0 @ (sK19 @ X0))) & ($true = (X0 @ (sK18 @ X0))) & ($true != (X0 @ (paraco1628874225le_Eql @ (sK18 @ X0) @ (sK19 @ X0))))))),
% 2.20/0.66    introduced(choice_axiom,[])).
% 2.20/0.66  thf(f692,plain,(
% 2.20/0.66    ! [X0 : paraco414474393lle_fm > $o] : (? [X1 : paraco414474393lle_fm,X2 : paraco414474393lle_fm] : (($true = (X0 @ X2)) & ($true = (X0 @ X1)) & ($true != (X0 @ (paraco1628874225le_Eql @ X1 @ X2)))) | ($true != (sP0 @ X0)))),
% 2.20/0.66    inference(rectify,[],[f691])).
% 2.20/0.66  thf(f691,plain,(
% 2.20/0.66    ! [X0 : paraco414474393lle_fm > $o] : (? [X8 : paraco414474393lle_fm,X9 : paraco414474393lle_fm] : (($true = (X0 @ X9)) & ($true = (X0 @ X8)) & ($true != (X0 @ (paraco1628874225le_Eql @ X8 @ X9)))) | ($true != (sP0 @ X0)))),
% 2.20/0.66    inference(nnf_transformation,[],[f675])).
% 2.20/0.66  thf(f675,plain,(
% 2.20/0.66    ! [X0 : paraco414474393lle_fm > $o] : (? [X8 : paraco414474393lle_fm,X9 : paraco414474393lle_fm] : (($true = (X0 @ X9)) & ($true = (X0 @ X8)) & ($true != (X0 @ (paraco1628874225le_Eql @ X8 @ X9)))) | ~($true = (sP0 @ X0)))),
% 2.20/0.66    introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 2.20/0.66  thf(f1556,plain,(
% 2.20/0.66    spl68_9 | spl68_7 | ~spl68_10),
% 2.20/0.66    inference(avatar_split_clause,[],[f1555,f1173,f1163,f1169])).
% 2.20/0.66  thf(f1163,plain,(
% 2.20/0.66    spl68_7 <=> ! [X1 : $o] : ($false = X1)),
% 2.20/0.66    introduced(avatar_definition,[new_symbols(naming,[spl68_7])])).
% 2.20/0.66  thf(f1173,plain,(
% 2.20/0.66    spl68_10 <=> ! [X1 : $o] : (((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ X1)) | ($false = X1))),
% 2.20/0.66    introduced(avatar_definition,[new_symbols(naming,[spl68_10])])).
% 2.20/0.66  thf(f1555,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($false = X0) | ($true = X1)) ) | ~spl68_10),
% 2.20/0.66    inference(subsumption_resolution,[],[f1537,f849])).
% 2.20/0.66  thf(f849,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($false = X1) | ($true = X0) | ((paraco2040174112le_Det @ X1) != (paraco2040174112le_Det @ X0))) )),
% 2.20/0.66    inference(binary_proxy_clausification,[],[f848])).
% 2.20/0.66  thf(f848,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | ((paraco2040174112le_Det @ X1) != (paraco2040174112le_Det @ X0))) )),
% 2.20/0.66    inference(equality_proxy_clausification,[],[f847])).
% 2.20/0.66  thf(f847,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($true = (X0 = X1)) | ((paraco2040174112le_Det @ X1) != (paraco2040174112le_Det @ X0))) )),
% 2.20/0.66    inference(equality_proxy_clausification,[],[f841])).
% 2.20/0.66  thf(f841,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($false = ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0))) | ($true = (X0 = X1))) )),
% 2.20/0.66    inference(binary_proxy_clausification,[],[f750])).
% 2.20/0.66  thf(f750,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (((X0 = X1) = ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)))) )),
% 2.20/0.66    inference(cnf_transformation,[],[f342])).
% 2.20/0.66  thf(f342,plain,(
% 2.20/0.66    ! [X0 : $o,X1 : $o] : ((X0 = X1) = ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)))),
% 2.20/0.66    inference(fool_elimination,[],[f341])).
% 2.20/0.66  thf(f341,plain,(
% 2.20/0.66    ! [X0 : $o,X1 : $o] : ((X0 = X1) = ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)))),
% 2.20/0.66    inference(rectify,[],[f1])).
% 2.20/0.66  thf(f1,axiom,(
% 2.20/0.66    ! [X5 : $o,X6 : $o] : ((X5 = X6) = ((paraco2040174112le_Det @ X5) = (paraco2040174112le_Det @ X6)))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tv_Oinject_I1_J)).
% 2.20/0.66  thf(f1537,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($false = X0) | ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)) | ($true = X1)) ) | ~spl68_10),
% 2.20/0.66    inference(trivial_inequality_removal,[],[f1520])).
% 2.20/0.66  thf(f1520,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($true = $false) | ($false = X0) | ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)) | ($true = X1)) ) | ~spl68_10),
% 2.20/0.66    inference(superposition,[],[f845,f1174])).
% 2.20/0.66  thf(f1174,plain,(
% 2.20/0.66    ( ! [X1 : $o] : (((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ X1)) | ($false = X1)) ) | ~spl68_10),
% 2.20/0.66    inference(avatar_component_clause,[],[f1173])).
% 2.20/0.66  thf(f845,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)) | ($true = X0) | ($true = X1)) )),
% 2.20/0.66    inference(binary_proxy_clausification,[],[f844])).
% 2.20/0.66  thf(f844,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : ((X0 != X1) | ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0))) )),
% 2.20/0.66    inference(equality_proxy_clausification,[],[f843])).
% 2.20/0.66  thf(f843,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)) | ($false = (X0 = X1))) )),
% 2.20/0.66    inference(equality_proxy_clausification,[],[f842])).
% 2.20/0.66  thf(f842,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (($true = ((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0))) | ($false = (X0 = X1))) )),
% 2.20/0.66    inference(binary_proxy_clausification,[],[f750])).
% 2.20/0.66  thf(f1381,plain,(
% 2.20/0.66    ~spl68_7),
% 2.20/0.66    inference(avatar_contradiction_clause,[],[f1380])).
% 2.20/0.66  thf(f1380,plain,(
% 2.20/0.66    $false | ~spl68_7),
% 2.20/0.66    inference(subsumption_resolution,[],[f1379,f1164])).
% 2.20/0.66  thf(f1164,plain,(
% 2.20/0.66    ( ! [X1 : $o] : (($false = X1)) ) | ~spl68_7),
% 2.20/0.66    inference(avatar_component_clause,[],[f1163])).
% 2.20/0.66  thf(f1379,plain,(
% 2.20/0.66    ($true != $false) | ~spl68_7),
% 2.20/0.66    inference(forward_demodulation,[],[f1231,f1164])).
% 2.20/0.66  thf(f1231,plain,(
% 2.20/0.66    ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ X1 @ X0 > $o] : (($true != (X2 @ (product_Pair @ X1 @ X0 @ (sK61 @ X0 @ X1 @ X2) @ (sK62 @ X0 @ X1 @ X2))))) ) | ~spl68_7),
% 2.20/0.66    inference(trivial_inequality_removal,[],[f1204])).
% 2.20/0.66  thf(f1204,plain,(
% 2.20/0.66    ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ X1 @ X0 > $o] : (($true = $false) | ($true != (X2 @ (product_Pair @ X1 @ X0 @ (sK61 @ X0 @ X1 @ X2) @ (sK62 @ X0 @ X1 @ X2))))) ) | ~spl68_7),
% 2.20/0.66    inference(backward_demodulation,[],[f807,f1164])).
% 2.20/0.66  thf(f807,plain,(
% 2.20/0.66    ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ X1 @ X0 > $o,X3 : product_prod @ X1 @ X0] : (($true != (X2 @ (product_Pair @ X1 @ X0 @ (sK61 @ X0 @ X1 @ X2) @ (sK62 @ X0 @ X1 @ X2)))) | ($true = (X2 @ X3))) )),
% 2.20/0.66    inference(cnf_transformation,[],[f727])).
% 2.20/0.66  thf(f727,plain,(
% 2.20/0.66    ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X1 @ X0 > $o,X3 : product_prod @ X1 @ X0] : (($true != (X2 @ (product_Pair @ X1 @ X0 @ (sK61 @ X0 @ X1 @ X2) @ (sK62 @ X0 @ X1 @ X2)))) | ($true = (X2 @ X3)))),
% 2.20/0.66    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f648,f726])).
% 2.20/0.66  thf(f726,plain,(
% 2.20/0.66    ! [X1 : $tType,X0 : $tType,X2 : product_prod @ X1 @ X0 > $o] : (? [X4 : X1,X5 : X0] : ($true != (X2 @ (product_Pair @ X1 @ X0 @ X4 @ X5))) => ($true != (X2 @ (product_Pair @ X1 @ X0 @ (sK61 @ X0 @ X1 @ X2) @ (sK62 @ X0 @ X1 @ X2)))))),
% 2.20/0.66    introduced(choice_axiom,[])).
% 2.20/0.66  thf(f648,plain,(
% 2.20/0.66    ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X1 @ X0 > $o,X3 : product_prod @ X1 @ X0] : (? [X4 : X1,X5 : X0] : ($true != (X2 @ (product_Pair @ X1 @ X0 @ X4 @ X5))) | ($true = (X2 @ X3)))),
% 2.20/0.66    inference(ennf_transformation,[],[f412])).
% 2.20/0.66  thf(f412,plain,(
% 2.20/0.66    ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X1 @ X0 > $o,X3 : product_prod @ X1 @ X0] : (! [X4 : X1,X5 : X0] : ($true = (X2 @ (product_Pair @ X1 @ X0 @ X4 @ X5))) => ($true = (X2 @ X3)))),
% 2.20/0.66    inference(fool_elimination,[],[f411])).
% 2.20/0.66  thf(f411,plain,(
% 2.20/0.66    ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X1 @ X0 > $o,X3 : product_prod @ X1 @ X0] : (! [X4 : X1,X5 : X0] : (X2 @ (product_Pair @ X1 @ X0 @ X4 @ X5)) => (X2 @ X3))),
% 2.20/0.66    inference(rectify,[],[f65])).
% 2.20/0.66  thf(f65,axiom,(
% 2.20/0.66    ! [X1 : $tType,X0 : $tType,X16 : product_prod @ X0 @ X1 > $o,X10 : product_prod @ X0 @ X1] : (! [X72 : X0,X73 : X1] : (X16 @ (product_Pair @ X0 @ X1 @ X72 @ X73)) => (X16 @ X10))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_prod__cases)).
% 2.20/0.66  thf(f1202,plain,(
% 2.20/0.66    spl68_10 | ~spl68_2),
% 2.20/0.66    inference(avatar_split_clause,[],[f1151,f893,f1173])).
% 2.20/0.66  thf(f893,plain,(
% 2.20/0.66    spl68_2 <=> ((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ $true))),
% 2.20/0.66    introduced(avatar_definition,[new_symbols(naming,[spl68_2])])).
% 2.20/0.66  thf(f1151,plain,(
% 2.20/0.66    ( ! [X0 : $o] : (((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ X0)) | ($false = X0)) ) | ~spl68_2),
% 2.20/0.66    inference(trivial_inequality_removal,[],[f1121])).
% 2.20/0.66  thf(f1121,plain,(
% 2.20/0.66    ( ! [X0 : $o] : (((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ X0)) | ($false = X0) | ($true = $false)) ) | ~spl68_2),
% 2.20/0.66    inference(superposition,[],[f846,f894])).
% 2.20/0.66  thf(f894,plain,(
% 2.20/0.66    ((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ $true)) | ~spl68_2),
% 2.20/0.66    inference(avatar_component_clause,[],[f893])).
% 2.20/0.66  thf(f846,plain,(
% 2.20/0.66    ( ! [X0 : $o,X1 : $o] : (((paraco2040174112le_Det @ X1) = (paraco2040174112le_Det @ X0)) | ($false = X1) | ($false = X0)) )),
% 2.20/0.66    inference(binary_proxy_clausification,[],[f844])).
% 2.20/0.66  thf(f958,plain,(
% 2.20/0.66    spl68_2),
% 2.20/0.66    inference(avatar_contradiction_clause,[],[f957])).
% 2.20/0.66  thf(f957,plain,(
% 2.20/0.66    $false | spl68_2),
% 2.20/0.66    inference(subsumption_resolution,[],[f956,f895])).
% 2.20/0.66  thf(f895,plain,(
% 2.20/0.66    ((paraco2040174112le_Det @ $false) != (paraco2040174112le_Det @ $true)) | spl68_2),
% 2.20/0.66    inference(avatar_component_clause,[],[f893])).
% 2.20/0.66  thf(f956,plain,(
% 2.20/0.66    ((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ $true)) | spl68_2),
% 2.20/0.66    inference(backward_demodulation,[],[f840,f955])).
% 2.20/0.66  thf(f955,plain,(
% 2.20/0.66    ( ! [X0 : list @ char > paraco415392788lle_tv] : (((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p)))) ) | spl68_2),
% 2.20/0.66    inference(subsumption_resolution,[],[f954,f895])).
% 2.20/0.66  thf(f954,plain,(
% 2.20/0.66    ( ! [X0 : list @ char > paraco415392788lle_tv] : (((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ $true)) | ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p)))) )),
% 2.20/0.66    inference(trivial_inequality_removal,[],[f950])).
% 2.20/0.66  thf(f950,plain,(
% 2.20/0.66    ( ! [X0 : list @ char > paraco415392788lle_tv] : (((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p))) | ((paraco2040174112le_Det @ $true) != (paraco2040174112le_Det @ $true)) | ((paraco2040174112le_Det @ $false) = (paraco2040174112le_Det @ $true))) )),
% 2.20/0.66    inference(superposition,[],[f764,f799])).
% 2.20/0.66  thf(f799,plain,(
% 2.20/0.66    ( ! [X0 : list @ char > paraco415392788lle_tv] : (((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ p))) )),
% 2.20/0.66    inference(cnf_transformation,[],[f664])).
% 2.20/0.66  thf(f664,plain,(
% 2.20/0.66    ! [X0 : list @ char > paraco415392788lle_tv] : ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ p))),
% 2.20/0.66    inference(ennf_transformation,[],[f530])).
% 2.20/0.66  thf(f530,plain,(
% 2.20/0.66    ~? [X0 : list @ char > paraco415392788lle_tv] : ((paraco2040174112le_Det @ $true) != (paraco876059933e_eval @ X0 @ p))),
% 2.20/0.66    inference(fool_elimination,[],[f529])).
% 2.20/0.66  thf(f529,plain,(
% 2.20/0.66    ~? [X0 : list @ char > paraco415392788lle_tv] : ((paraco876059933e_eval @ X0 @ p) != (paraco2040174112le_Det @ $true))),
% 2.20/0.66    inference(rectify,[],[f261])).
% 2.20/0.66  thf(f261,negated_conjecture,(
% 2.20/0.66    ~? [X142 : list @ char > paraco415392788lle_tv] : ((paraco876059933e_eval @ X142 @ p) != (paraco2040174112le_Det @ $true))),
% 2.20/0.66    inference(negated_conjecture,[],[f260])).
% 2.20/0.66  thf(f260,conjecture,(
% 2.20/0.66    ? [X142 : list @ char > paraco415392788lle_tv] : ((paraco876059933e_eval @ X142 @ p) != (paraco2040174112le_Det @ $true))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.20/0.66  thf(f764,plain,(
% 2.20/0.66    ( ! [X0 : list @ char > paraco415392788lle_tv,X1 : paraco414474393lle_fm] : (((paraco2040174112le_Det @ $true) != (paraco876059933e_eval @ X0 @ X1)) | ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ X1)) | ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)))) )),
% 2.20/0.66    inference(cnf_transformation,[],[f655])).
% 2.20/0.66  thf(f655,plain,(
% 2.20/0.66    ! [X0 : list @ char > paraco415392788lle_tv,X1 : paraco414474393lle_fm] : ((((((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco876059933e_eval @ X0 @ X1)) | ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ X1))) & (((paraco2040174112le_Det @ $true) != (paraco876059933e_eval @ X0 @ X1)) | ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))) | ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ X1))) & (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco2040174112le_Det @ $true)) | ((paraco2040174112le_Det @ $false) != (paraco876059933e_eval @ X0 @ X1))))),
% 2.20/0.66    inference(ennf_transformation,[],[f466])).
% 2.20/0.66  thf(f466,plain,(
% 2.20/0.66    ! [X0 : list @ char > paraco415392788lle_tv,X1 : paraco414474393lle_fm] : ((((paraco2040174112le_Det @ $false) != (paraco876059933e_eval @ X0 @ X1)) => ((((paraco2040174112le_Det @ $true) != (paraco876059933e_eval @ X0 @ X1)) => ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco876059933e_eval @ X0 @ X1))) & (((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ X1)) => ((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)))))) & (((paraco2040174112le_Det @ $false) = (paraco876059933e_eval @ X0 @ X1)) => ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco2040174112le_Det @ $true))))),
% 2.20/0.66    inference(fool_elimination,[],[f465])).
% 2.20/0.66  thf(f465,plain,(
% 2.20/0.66    ! [X0 : list @ char > paraco415392788lle_tv,X1 : paraco414474393lle_fm] : ((((paraco876059933e_eval @ X0 @ X1) = (paraco2040174112le_Det @ $false)) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)))) & (((paraco2040174112le_Det @ $false) != (paraco876059933e_eval @ X0 @ X1)) => ((((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X0 @ X1)) => ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco2040174112le_Det @ $false))) & (((paraco876059933e_eval @ X0 @ X1) != (paraco2040174112le_Det @ $true)) => ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1)) = (paraco876059933e_eval @ X0 @ X1))))))),
% 2.20/0.66    inference(rectify,[],[f9])).
% 2.20/0.66  thf(f9,axiom,(
% 2.20/0.66    ! [X9 : list @ char > paraco415392788lle_tv,X10 : paraco414474393lle_fm] : ((((paraco876059933e_eval @ X9 @ X10) = (paraco2040174112le_Det @ $false)) => ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X9 @ (paraco329115265le_Neg @ X10)))) & (((paraco2040174112le_Det @ $false) != (paraco876059933e_eval @ X9 @ X10)) => ((((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X9 @ X10)) => ((paraco876059933e_eval @ X9 @ (paraco329115265le_Neg @ X10)) = (paraco2040174112le_Det @ $false))) & (((paraco876059933e_eval @ X9 @ X10) != (paraco2040174112le_Det @ $true)) => ((paraco876059933e_eval @ X9 @ X10) = (paraco876059933e_eval @ X9 @ (paraco329115265le_Neg @ X10)))))))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_eval__negation)).
% 2.20/0.66  thf(f840,plain,(
% 2.20/0.66    ( ! [X1 : list @ char > paraco415392788lle_tv] : (((paraco876059933e_eval @ X1 @ (paraco329115265le_Neg @ p)) = (paraco2040174112le_Det @ $true))) )),
% 2.20/0.66    inference(equality_proxy_clausification,[],[f839])).
% 2.20/0.66  thf(f839,plain,(
% 2.20/0.66    ( ! [X1 : list @ char > paraco415392788lle_tv] : (($true = ((paraco876059933e_eval @ X1 @ (paraco329115265le_Neg @ p)) = (paraco2040174112le_Det @ $true)))) )),
% 2.20/0.66    inference(beta_eta_normalization,[],[f838])).
% 2.20/0.66  thf(f838,plain,(
% 2.20/0.66    ( ! [X1 : list @ char > paraco415392788lle_tv] : (($true = ((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco876059933e_eval @ Y0 @ (paraco329115265le_Neg @ p)) = (paraco2040174112le_Det @ $true))) @ X1))) )),
% 2.20/0.66    inference(pi_clausification,[],[f837])).
% 2.20/0.66  thf(f837,plain,(
% 2.20/0.66    ($true = (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco876059933e_eval @ Y0 @ (paraco329115265le_Neg @ p)) = (paraco2040174112le_Det @ $true)))))),
% 2.20/0.66    inference(beta_eta_normalization,[],[f819])).
% 2.20/0.66  thf(f819,plain,(
% 2.20/0.66    ($true = ((^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco876059933e_eval @ Y1 @ Y0) = (paraco2040174112le_Det @ $true))))) @ (paraco329115265le_Neg @ p)))),
% 2.20/0.66    inference(definition_unfolding,[],[f800,f777])).
% 2.20/0.66  thf(f777,plain,(
% 2.20/0.66    (paraco769098683_valid = (^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco876059933e_eval @ Y1 @ Y0) = (paraco2040174112le_Det @ $true))))))),
% 2.20/0.66    inference(cnf_transformation,[],[f602])).
% 2.20/0.66  thf(f602,plain,(
% 2.20/0.66    (paraco769098683_valid = (^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco876059933e_eval @ Y1 @ Y0) = (paraco2040174112le_Det @ $true))))))),
% 2.20/0.66    inference(fool_elimination,[],[f601])).
% 2.20/0.66  thf(f601,plain,(
% 2.20/0.66    (paraco769098683_valid = (^[X0 : paraco414474393lle_fm] : (! [X1 : list @ char > paraco415392788lle_tv] : ((paraco876059933e_eval @ X1 @ X0) = (paraco2040174112le_Det @ $true)))))),
% 2.20/0.66    inference(rectify,[],[f3])).
% 2.20/0.66  thf(f3,axiom,(
% 2.20/0.66    (paraco769098683_valid = (^[X7 : paraco414474393lle_fm] : (! [X8 : list @ char > paraco415392788lle_tv] : ((paraco876059933e_eval @ X8 @ X7) = (paraco2040174112le_Det @ $true)))))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_valid__def)).
% 2.20/0.66  thf(f800,plain,(
% 2.20/0.66    ((paraco769098683_valid @ (paraco329115265le_Neg @ p)) = $true)),
% 2.20/0.66    inference(cnf_transformation,[],[f360])).
% 2.20/0.66  thf(f360,plain,(
% 2.20/0.66    ((paraco769098683_valid @ (paraco329115265le_Neg @ p)) = $true)),
% 2.20/0.66    inference(fool_elimination,[],[f359])).
% 2.20/0.66  thf(f359,plain,(
% 2.20/0.66    (paraco769098683_valid @ (paraco329115265le_Neg @ p))),
% 2.20/0.66    inference(rectify,[],[f2])).
% 2.20/0.66  thf(f2,axiom,(
% 2.20/0.66    (paraco769098683_valid @ (paraco329115265le_Neg @ p))),
% 2.20/0.66    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms)).
% 2.20/0.66  % SZS output end Proof for theBenchmark
% 2.20/0.66  % (23397)------------------------------
% 2.20/0.66  % (23397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.66  % (23397)Termination reason: Refutation
% 2.20/0.66  
% 2.20/0.66  % (23397)Memory used [KB]: 7547
% 2.20/0.66  % (23397)Time elapsed: 0.165 s
% 2.20/0.66  % (23397)Instructions burned: 278 (million)
% 2.20/0.66  % (23397)------------------------------
% 2.20/0.66  % (23397)------------------------------
% 2.20/0.66  % (23367)Success in time 0.301 s
% 2.20/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------