TSTP Solution File: SEV295^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV295^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 04:12:41 EDT 2024

% Result   : Theorem 2.89s 0.80s
% Output   : Refutation 2.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV295^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sun May 19 18:24:52 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  This is a TH0_THM_EQU_NAR problem
% 0.15/0.34  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % (4680)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)
% 0.15/0.36  % (4679)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.36  % (4673)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.36  % (4675)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)
% 0.15/0.36  % (4680)Instruction limit reached!
% 0.15/0.36  % (4680)------------------------------
% 0.15/0.36  % (4680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.36  % (4680)Termination reason: Unknown
% 0.21/0.36  % (4680)Termination phase: Function definition elimination
% 0.21/0.36  
% 0.21/0.36  % (4680)Memory used [KB]: 895
% 0.21/0.36  % (4680)Time elapsed: 0.003 s
% 0.21/0.36  % (4680)Instructions burned: 3 (million)
% 0.21/0.36  % (4680)------------------------------
% 0.21/0.36  % (4680)------------------------------
% 0.21/0.36  % (4678)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)
% 0.21/0.36  % (4676)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37  % (4674)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)
% 0.21/0.37  % (4676)Instruction limit reached!
% 0.21/0.37  % (4676)------------------------------
% 0.21/0.37  % (4676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37  % (4676)Termination reason: Unknown
% 0.21/0.37  % (4676)Termination phase: Property scanning
% 0.21/0.37  
% 0.21/0.37  % (4676)Memory used [KB]: 1023
% 0.21/0.37  % (4676)Time elapsed: 0.003 s
% 0.21/0.37  % (4676)Instructions burned: 3 (million)
% 0.21/0.37  % (4676)------------------------------
% 0.21/0.37  % (4676)------------------------------
% 0.21/0.37  % (4674)Instruction limit reached!
% 0.21/0.37  % (4674)------------------------------
% 0.21/0.37  % (4674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37  % (4674)Termination reason: Unknown
% 0.21/0.37  % (4674)Termination phase: Property scanning
% 0.21/0.37  
% 0.21/0.37  % (4674)Memory used [KB]: 1023
% 0.21/0.37  % (4674)Time elapsed: 0.003 s
% 0.21/0.37  % (4674)Instructions burned: 4 (million)
% 0.21/0.37  % (4674)------------------------------
% 0.21/0.37  % (4674)------------------------------
% 0.21/0.37  % (4679)Instruction limit reached!
% 0.21/0.37  % (4679)------------------------------
% 0.21/0.37  % (4679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37  % (4679)Termination reason: Unknown
% 0.21/0.37  % (4679)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (4679)Memory used [KB]: 5628
% 0.21/0.37  % (4679)Time elapsed: 0.011 s
% 0.21/0.37  % (4679)Instructions burned: 18 (million)
% 0.21/0.37  % (4679)------------------------------
% 0.21/0.37  % (4679)------------------------------
% 0.21/0.37  % (4677)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)
% 0.21/0.38  % (4677)Instruction limit reached!
% 0.21/0.38  % (4677)------------------------------
% 0.21/0.38  % (4677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (4677)Termination reason: Unknown
% 0.21/0.38  % (4677)Termination phase: Property scanning
% 0.21/0.38  
% 0.21/0.38  % (4677)Memory used [KB]: 895
% 0.21/0.38  % (4677)Time elapsed: 0.003 s
% 0.21/0.38  % (4677)Instructions burned: 2 (million)
% 0.21/0.38  % (4677)------------------------------
% 0.21/0.38  % (4677)------------------------------
% 0.21/0.38  % (4681)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)
% 0.21/0.38  % (4675)Instruction limit reached!
% 0.21/0.38  % (4675)------------------------------
% 0.21/0.38  % (4675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (4675)Termination reason: Unknown
% 0.21/0.38  % (4675)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (4675)Memory used [KB]: 5628
% 0.21/0.38  % (4675)Time elapsed: 0.018 s
% 0.21/0.38  % (4675)Instructions burned: 27 (million)
% 0.21/0.38  % (4675)------------------------------
% 0.21/0.38  % (4675)------------------------------
% 0.21/0.38  % (4683)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)
% 0.21/0.38  % (4683)Instruction limit reached!
% 0.21/0.38  % (4683)------------------------------
% 0.21/0.38  % (4683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (4683)Termination reason: Unknown
% 0.21/0.38  % (4683)Termination phase: Property scanning
% 0.21/0.38  
% 0.21/0.38  % (4683)Memory used [KB]: 1023
% 0.21/0.38  % (4683)Time elapsed: 0.003 s
% 0.21/0.38  % (4683)Instructions burned: 3 (million)
% 0.21/0.38  % (4683)------------------------------
% 0.21/0.38  % (4683)------------------------------
% 0.21/0.38  % (4684)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)
% 0.21/0.39  % (4685)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.39  % (4682)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)
% 0.21/0.39  % (4681)Instruction limit reached!
% 0.21/0.39  % (4681)------------------------------
% 0.21/0.39  % (4681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (4681)Termination reason: Unknown
% 0.21/0.39  % (4681)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (4681)Memory used [KB]: 5628
% 0.21/0.39  % (4681)Time elapsed: 0.019 s
% 0.21/0.39  % (4681)Instructions burned: 39 (million)
% 0.21/0.39  % (4681)------------------------------
% 0.21/0.39  % (4681)------------------------------
% 0.21/0.39  % (4685)Instruction limit reached!
% 0.21/0.39  % (4685)------------------------------
% 0.21/0.39  % (4685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (4685)Termination reason: Unknown
% 0.21/0.39  % (4685)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (4685)Memory used [KB]: 1023
% 0.21/0.39  % (4685)Time elapsed: 0.006 s
% 0.21/0.39  % (4685)Instructions burned: 7 (million)
% 0.21/0.39  % (4685)------------------------------
% 0.21/0.39  % (4685)------------------------------
% 0.21/0.39  % (4686)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40  % (4682)Instruction limit reached!
% 0.21/0.40  % (4682)------------------------------
% 0.21/0.40  % (4682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (4682)Termination reason: Unknown
% 0.21/0.40  % (4682)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (4682)Memory used [KB]: 5628
% 0.21/0.40  % (4682)Time elapsed: 0.035 s
% 0.21/0.40  % (4682)Instructions burned: 15 (million)
% 0.21/0.40  % (4682)------------------------------
% 0.21/0.40  % (4682)------------------------------
% 0.21/0.40  % (4686)Instruction limit reached!
% 0.21/0.40  % (4686)------------------------------
% 0.21/0.40  % (4686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (4686)Termination reason: Unknown
% 0.21/0.40  % (4686)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (4686)Memory used [KB]: 5756
% 0.21/0.40  % (4686)Time elapsed: 0.011 s
% 0.21/0.40  % (4686)Instructions burned: 17 (million)
% 0.21/0.40  % (4686)------------------------------
% 0.21/0.40  % (4686)------------------------------
% 0.21/0.41  % (4688)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)
% 0.21/0.41  % (4689)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)
% 0.21/0.41  % (4688)Instruction limit reached!
% 0.21/0.41  % (4688)------------------------------
% 0.21/0.41  % (4688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (4688)Termination reason: Unknown
% 0.21/0.41  % (4688)Termination phase: Preprocessing 3
% 0.21/0.41  
% 0.21/0.41  % (4688)Memory used [KB]: 1023
% 0.21/0.41  % (4688)Time elapsed: 0.003 s
% 0.21/0.41  % (4688)Instructions burned: 3 (million)
% 0.21/0.41  % (4688)------------------------------
% 0.21/0.41  % (4688)------------------------------
% 0.21/0.41  % (4689)Refutation not found, incomplete strategy
% 0.21/0.41  % (4689)------------------------------
% 0.21/0.41  % (4689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (4689)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  % (4689)Memory used [KB]: 5500
% 0.21/0.41  % (4689)Time elapsed: 0.005 s
% 0.21/0.41  % (4689)Instructions burned: 6 (million)
% 0.21/0.41  % (4689)------------------------------
% 0.21/0.41  % (4689)------------------------------
% 0.21/0.42  % (4687)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)
% 0.21/0.42  % (4690)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)
% 0.21/0.42  % (4690)Instruction limit reached!
% 0.21/0.42  % (4690)------------------------------
% 0.21/0.42  % (4690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (4690)Termination reason: Unknown
% 0.21/0.42  % (4690)Termination phase: Function definition elimination
% 0.21/0.42  
% 0.21/0.42  % (4690)Memory used [KB]: 1023
% 0.21/0.42  % (4690)Time elapsed: 0.003 s
% 0.21/0.42  % (4690)Instructions burned: 3 (million)
% 0.21/0.42  % (4690)------------------------------
% 0.21/0.42  % (4690)------------------------------
% 0.21/0.42  % (4687)Instruction limit reached!
% 0.21/0.42  % (4687)------------------------------
% 0.21/0.42  % (4687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (4687)Termination reason: Unknown
% 0.21/0.42  % (4687)Termination phase: Twee Goal Transformation
% 0.21/0.42  
% 0.21/0.42  % (4687)Memory used [KB]: 1023
% 0.21/0.42  % (4687)Time elapsed: 0.004 s
% 0.21/0.42  % (4687)Instructions burned: 4 (million)
% 0.21/0.42  % (4687)------------------------------
% 0.21/0.42  % (4687)------------------------------
% 0.21/0.42  % (4692)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)
% 0.21/0.43  % (4693)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43  % (4691)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43  % (4694)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43  % (4695)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)
% 0.21/0.43  % (4691)Instruction limit reached!
% 0.21/0.43  % (4691)------------------------------
% 0.21/0.43  % (4691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (4691)Termination reason: Unknown
% 0.21/0.43  % (4691)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (4691)Memory used [KB]: 5500
% 0.21/0.43  % (4691)Time elapsed: 0.004 s
% 0.21/0.43  % (4691)Instructions burned: 5 (million)
% 0.21/0.43  % (4691)------------------------------
% 0.21/0.43  % (4691)------------------------------
% 0.21/0.43  % (4692)Instruction limit reached!
% 0.21/0.43  % (4692)------------------------------
% 0.21/0.43  % (4692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (4692)Termination reason: Unknown
% 0.21/0.43  % (4692)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (4692)Memory used [KB]: 5628
% 0.21/0.43  % (4692)Time elapsed: 0.012 s
% 0.21/0.43  % (4692)Instructions burned: 19 (million)
% 0.21/0.43  % (4692)------------------------------
% 0.21/0.43  % (4692)------------------------------
% 0.21/0.44  % (4694)Instruction limit reached!
% 0.21/0.44  % (4694)------------------------------
% 0.21/0.44  % (4694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (4694)Termination reason: Unknown
% 0.21/0.44  % (4694)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (4694)Memory used [KB]: 5500
% 0.21/0.44  % (4694)Time elapsed: 0.005 s
% 0.21/0.44  % (4694)Instructions burned: 6 (million)
% 0.21/0.44  % (4694)------------------------------
% 0.21/0.44  % (4694)------------------------------
% 0.21/0.44  % (4695)Refutation not found, incomplete strategy
% 0.21/0.44  % (4695)------------------------------
% 0.21/0.44  % (4695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (4695)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % (4695)Memory used [KB]: 5500
% 0.21/0.44  % (4695)Time elapsed: 0.006 s
% 0.21/0.44  % (4695)Instructions burned: 5 (million)
% 0.21/0.44  % (4695)------------------------------
% 0.21/0.44  % (4695)------------------------------
% 0.21/0.45  % (4696)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)
% 0.21/0.45  % (4698)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)
% 0.21/0.45  % (4699)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45  % (4698)Instruction limit reached!
% 0.21/0.45  % (4698)------------------------------
% 0.21/0.45  % (4698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (4698)Termination reason: Unknown
% 0.21/0.45  % (4698)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (4698)Memory used [KB]: 5500
% 0.21/0.45  % (4698)Time elapsed: 0.005 s
% 0.21/0.45  % (4698)Instructions burned: 6 (million)
% 0.21/0.45  % (4698)------------------------------
% 0.21/0.45  % (4698)------------------------------
% 0.21/0.46  % (4673)Instruction limit reached!
% 0.21/0.46  % (4673)------------------------------
% 0.21/0.46  % (4673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (4673)Termination reason: Unknown
% 0.21/0.46  % (4673)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (4673)Memory used [KB]: 6524
% 0.21/0.46  % (4673)Time elapsed: 0.094 s
% 0.21/0.46  % (4673)Instructions burned: 183 (million)
% 0.21/0.46  % (4673)------------------------------
% 0.21/0.46  % (4673)------------------------------
% 0.21/0.46  % (4697)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46  % (4697)Instruction limit reached!
% 0.21/0.46  % (4697)------------------------------
% 0.21/0.46  % (4697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (4697)Termination reason: Unknown
% 0.21/0.46  % (4697)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (4697)Memory used [KB]: 5500
% 0.21/0.46  % (4697)Time elapsed: 0.004 s
% 0.21/0.46  % (4697)Instructions burned: 5 (million)
% 0.21/0.46  % (4697)------------------------------
% 0.21/0.46  % (4697)------------------------------
% 0.21/0.46  % (4696)Instruction limit reached!
% 0.21/0.46  % (4696)------------------------------
% 0.21/0.46  % (4696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (4696)Termination reason: Unknown
% 0.21/0.46  % (4696)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (4696)Memory used [KB]: 5628
% 0.21/0.46  % (4696)Time elapsed: 0.037 s
% 0.21/0.46  % (4696)Instructions burned: 21 (million)
% 0.21/0.46  % (4696)------------------------------
% 0.21/0.46  % (4696)------------------------------
% 0.21/0.47  % (4700)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)
% 0.21/0.47  % (4702)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)
% 0.21/0.48  % (4703)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.48  % (4701)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)
% 0.21/0.48  % (4703)Instruction limit reached!
% 0.21/0.48  % (4703)------------------------------
% 0.21/0.48  % (4703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (4703)Termination reason: Unknown
% 0.21/0.48  % (4703)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (4703)Memory used [KB]: 5628
% 0.21/0.48  % (4703)Time elapsed: 0.032 s
% 0.21/0.48  % (4703)Instructions burned: 18 (million)
% 0.21/0.48  % (4703)------------------------------
% 0.21/0.48  % (4703)------------------------------
% 0.21/0.49  % (4701)Instruction limit reached!
% 0.21/0.49  % (4701)------------------------------
% 0.21/0.49  % (4701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (4701)Termination reason: Unknown
% 0.21/0.49  % (4701)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (4701)Memory used [KB]: 5500
% 0.21/0.49  % (4701)Time elapsed: 0.042 s
% 0.21/0.49  % (4701)Instructions burned: 19 (million)
% 0.21/0.49  % (4701)------------------------------
% 0.21/0.49  % (4701)------------------------------
% 0.21/0.50  % (4704)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.50  % (4704)Instruction limit reached!
% 0.21/0.50  % (4704)------------------------------
% 0.21/0.50  % (4704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (4704)Termination reason: Unknown
% 0.21/0.50  % (4704)Termination phase: Function definition elimination
% 0.21/0.50  
% 0.21/0.50  % (4704)Memory used [KB]: 1023
% 0.21/0.50  % (4704)Time elapsed: 0.003 s
% 0.21/0.50  % (4704)Instructions burned: 3 (million)
% 0.21/0.50  % (4704)------------------------------
% 0.21/0.50  % (4704)------------------------------
% 0.21/0.50  % (4678)Instruction limit reached!
% 0.21/0.50  % (4678)------------------------------
% 0.21/0.50  % (4678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (4678)Termination reason: Unknown
% 0.21/0.50  % (4678)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (4678)Memory used [KB]: 6012
% 0.21/0.50  % (4678)Time elapsed: 0.141 s
% 0.21/0.50  % (4678)Instructions burned: 278 (million)
% 0.21/0.50  % (4678)------------------------------
% 0.21/0.50  % (4678)------------------------------
% 0.21/0.50  % (4705)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.51  % (4707)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)
% 0.21/0.51  % (4705)Instruction limit reached!
% 0.21/0.51  % (4705)------------------------------
% 0.21/0.51  % (4705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (4705)Termination reason: Unknown
% 0.21/0.51  % (4705)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (4705)Memory used [KB]: 5628
% 0.21/0.51  % (4705)Time elapsed: 0.011 s
% 0.21/0.51  % (4705)Instructions burned: 32 (million)
% 0.21/0.51  % (4705)------------------------------
% 0.21/0.51  % (4705)------------------------------
% 0.21/0.51  % (4706)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)
% 0.21/0.52  % (4708)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 (2998ds/3Mi)
% 0.21/0.52  % (4708)Instruction limit reached!
% 0.21/0.52  % (4708)------------------------------
% 0.21/0.52  % (4708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52  % (4708)Termination reason: Unknown
% 0.21/0.52  % (4708)Termination phase: Function definition elimination
% 0.21/0.52  
% 0.21/0.52  % (4708)Memory used [KB]: 895
% 0.21/0.52  % (4708)Time elapsed: 0.002 s
% 0.21/0.52  % (4708)Instructions burned: 3 (million)
% 0.21/0.52  % (4708)------------------------------
% 0.21/0.52  % (4708)------------------------------
% 0.21/0.53  % (4709)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 (2998ds/20Mi)
% 0.21/0.54  % (4709)Instruction limit reached!
% 0.21/0.54  % (4709)------------------------------
% 0.21/0.54  % (4709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54  % (4709)Termination reason: Unknown
% 0.21/0.54  % (4709)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (4709)Memory used [KB]: 5628
% 0.21/0.54  % (4709)Time elapsed: 0.009 s
% 0.21/0.54  % (4709)Instructions burned: 21 (million)
% 0.21/0.54  % (4709)------------------------------
% 0.21/0.54  % (4709)------------------------------
% 1.53/0.54  % (4710)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 (2998ds/86Mi)
% 1.53/0.55  % (4707)Instruction limit reached!
% 1.53/0.55  % (4707)------------------------------
% 1.53/0.55  % (4707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.55  % (4707)Termination reason: Unknown
% 1.53/0.55  % (4707)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (4707)Memory used [KB]: 5628
% 1.53/0.55  % (4707)Time elapsed: 0.035 s
% 1.53/0.55  % (4707)Instructions burned: 100 (million)
% 1.53/0.55  % (4707)------------------------------
% 1.53/0.55  % (4707)------------------------------
% 1.68/0.56  % (4711)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)
% 1.68/0.57  % (4710)Instruction limit reached!
% 1.68/0.57  % (4710)------------------------------
% 1.68/0.57  % (4710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.57  % (4710)Termination reason: Unknown
% 1.68/0.57  % (4710)Termination phase: Saturation
% 1.68/0.57  
% 1.68/0.57  % (4710)Memory used [KB]: 6140
% 1.68/0.57  % (4710)Time elapsed: 0.027 s
% 1.68/0.57  % (4710)Instructions burned: 88 (million)
% 1.68/0.57  % (4710)------------------------------
% 1.68/0.57  % (4710)------------------------------
% 1.68/0.57  % (4706)Instruction limit reached!
% 1.68/0.57  % (4706)------------------------------
% 1.68/0.57  % (4706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.57  % (4706)Termination reason: Unknown
% 1.68/0.57  % (4706)Termination phase: Saturation
% 1.68/0.57  
% 1.68/0.57  % (4706)Memory used [KB]: 6140
% 1.68/0.57  % (4706)Time elapsed: 0.060 s
% 1.68/0.57  % (4706)Instructions burned: 127 (million)
% 1.68/0.57  % (4706)------------------------------
% 1.68/0.57  % (4706)------------------------------
% 1.68/0.58  % (4712)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)
% 1.68/0.58  % (4699)Instruction limit reached!
% 1.68/0.58  % (4699)------------------------------
% 1.68/0.58  % (4699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.58  % (4699)Termination reason: Unknown
% 1.68/0.58  % (4699)Termination phase: Saturation
% 1.68/0.58  
% 1.68/0.58  % (4699)Memory used [KB]: 6652
% 1.68/0.58  % (4699)Time elapsed: 0.157 s
% 1.68/0.58  % (4699)Instructions burned: 378 (million)
% 1.68/0.58  % (4699)------------------------------
% 1.68/0.58  % (4699)------------------------------
% 1.68/0.59  % (4712)Instruction limit reached!
% 1.68/0.59  % (4712)------------------------------
% 1.68/0.59  % (4712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.59  % (4712)Termination reason: Unknown
% 1.68/0.59  % (4712)Termination phase: Saturation
% 1.68/0.59  
% 1.68/0.59  % (4712)Memory used [KB]: 5756
% 1.68/0.59  % (4712)Time elapsed: 0.013 s
% 1.68/0.59  % (4712)Instructions burned: 41 (million)
% 1.68/0.59  % (4712)------------------------------
% 1.68/0.59  % (4712)------------------------------
% 1.68/0.59  % (4714)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 (2997ds/46Mi)
% 1.68/0.59  % (4713)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)
% 1.68/0.60  % (4715)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 (2997ds/98Mi)
% 1.68/0.60  % (4711)Instruction limit reached!
% 1.68/0.60  % (4711)------------------------------
% 1.68/0.60  % (4711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.60  % (4711)Termination reason: Unknown
% 1.68/0.60  % (4711)Termination phase: Saturation
% 1.68/0.60  
% 1.68/0.60  % (4711)Memory used [KB]: 5756
% 1.68/0.60  % (4711)Time elapsed: 0.042 s
% 1.68/0.60  % (4711)Instructions burned: 107 (million)
% 1.68/0.60  % (4711)------------------------------
% 1.68/0.60  % (4711)------------------------------
% 1.68/0.61  % (4716)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 (2997ds/507Mi)
% 1.68/0.62  % (4714)Instruction limit reached!
% 1.68/0.62  % (4714)------------------------------
% 1.68/0.62  % (4714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.62  % (4714)Termination reason: Unknown
% 1.68/0.62  % (4714)Termination phase: Saturation
% 1.68/0.62  
% 1.68/0.62  % (4714)Memory used [KB]: 5628
% 1.68/0.62  % (4714)Time elapsed: 0.025 s
% 1.68/0.62  % (4714)Instructions burned: 46 (million)
% 1.68/0.62  % (4714)------------------------------
% 1.68/0.62  % (4714)------------------------------
% 2.13/0.63  % (4715)Instruction limit reached!
% 2.13/0.63  % (4715)------------------------------
% 2.13/0.63  % (4715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.63  % (4715)Termination reason: Unknown
% 2.13/0.63  % (4715)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (4715)Memory used [KB]: 1151
% 2.13/0.63  % (4715)Time elapsed: 0.031 s
% 2.13/0.63  % (4715)Instructions burned: 100 (million)
% 2.13/0.63  % (4715)------------------------------
% 2.13/0.63  % (4715)------------------------------
% 2.13/0.63  % (4718)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.13/0.64  % (4717)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 (2997ds/149Mi)
% 2.13/0.65  % (4718)Instruction limit reached!
% 2.13/0.65  % (4718)------------------------------
% 2.13/0.65  % (4718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.65  % (4718)Termination reason: Unknown
% 2.13/0.65  % (4718)Termination phase: Saturation
% 2.13/0.65  
% 2.13/0.65  % (4718)Memory used [KB]: 5756
% 2.13/0.65  % (4718)Time elapsed: 0.014 s
% 2.13/0.65  % (4718)Instructions burned: 40 (million)
% 2.13/0.65  % (4718)------------------------------
% 2.13/0.65  % (4718)------------------------------
% 2.13/0.65  % (4719)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 (2997ds/6Mi)
% 2.13/0.66  % (4719)Instruction limit reached!
% 2.13/0.66  % (4719)------------------------------
% 2.13/0.66  % (4719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.13/0.66  % (4719)Termination reason: Unknown
% 2.13/0.66  % (4719)Termination phase: Saturation
% 2.13/0.66  
% 2.13/0.66  % (4719)Memory used [KB]: 9978
% 2.13/0.66  % (4719)Time elapsed: 0.004 s
% 2.13/0.66  % (4719)Instructions burned: 8 (million)
% 2.13/0.66  % (4719)------------------------------
% 2.13/0.66  % (4719)------------------------------
% 2.36/0.66  % (4720)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.36/0.71  % (4693)Instruction limit reached!
% 2.36/0.71  % (4693)------------------------------
% 2.36/0.71  % (4693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.36/0.71  % (4693)Termination reason: Unknown
% 2.36/0.71  % (4693)Termination phase: Saturation
% 2.36/0.71  
% 2.36/0.71  % (4693)Memory used [KB]: 7291
% 2.36/0.71  % (4693)Time elapsed: 0.285 s
% 2.36/0.71  % (4693)Instructions burned: 710 (million)
% 2.36/0.71  % (4693)------------------------------
% 2.36/0.71  % (4693)------------------------------
% 2.36/0.72  % (4721)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.36/0.72  % (4717)Instruction limit reached!
% 2.36/0.72  % (4717)------------------------------
% 2.36/0.72  % (4717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.36/0.72  % (4717)Termination reason: Unknown
% 2.36/0.72  % (4717)Termination phase: Saturation
% 2.36/0.72  
% 2.36/0.72  % (4717)Memory used [KB]: 6140
% 2.36/0.72  % (4717)Time elapsed: 0.085 s
% 2.36/0.72  % (4717)Instructions burned: 150 (million)
% 2.36/0.72  % (4717)------------------------------
% 2.36/0.72  % (4717)------------------------------
% 2.36/0.73  % (4721)Instruction limit reached!
% 2.36/0.73  % (4721)------------------------------
% 2.36/0.73  % (4721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.36/0.73  % (4721)Termination reason: Unknown
% 2.36/0.73  % (4721)Termination phase: Saturation
% 2.36/0.73  
% 2.36/0.73  % (4721)Memory used [KB]: 5628
% 2.36/0.73  % (4721)Time elapsed: 0.014 s
% 2.36/0.73  % (4721)Instructions burned: 48 (million)
% 2.36/0.73  % (4721)------------------------------
% 2.36/0.73  % (4721)------------------------------
% 2.75/0.74  % (4722)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.75/0.74  % (4723)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.75/0.75  % (4684)Instruction limit reached!
% 2.75/0.75  % (4684)------------------------------
% 2.75/0.75  % (4684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.75/0.75  % (4684)Termination reason: Unknown
% 2.75/0.75  % (4684)Termination phase: Saturation
% 2.75/0.75  
% 2.75/0.75  % (4684)Memory used [KB]: 6396
% 2.75/0.75  % (4684)Time elapsed: 0.370 s
% 2.75/0.75  % (4684)Instructions burned: 1042 (million)
% 2.75/0.75  % (4684)------------------------------
% 2.75/0.75  % (4684)------------------------------
% 2.75/0.76  % (4722)Instruction limit reached!
% 2.75/0.76  % (4722)------------------------------
% 2.75/0.76  % (4722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.75/0.76  % (4722)Termination reason: Unknown
% 2.75/0.76  % (4722)Termination phase: Saturation
% 2.75/0.76  
% 2.75/0.76  % (4722)Memory used [KB]: 1279
% 2.75/0.76  % (4722)Time elapsed: 0.025 s
% 2.75/0.76  % (4722)Instructions burned: 45 (million)
% 2.75/0.76  % (4722)------------------------------
% 2.75/0.76  % (4722)------------------------------
% 2.75/0.76  % (4702)Instruction limit reached!
% 2.75/0.76  % (4702)------------------------------
% 2.75/0.76  % (4702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.75/0.76  % (4702)Termination reason: Unknown
% 2.75/0.76  % (4702)Termination phase: Saturation
% 2.75/0.76  
% 2.75/0.76  % (4702)Memory used [KB]: 7164
% 2.75/0.76  % (4702)Time elapsed: 0.313 s
% 2.75/0.76  % (4702)Instructions burned: 881 (million)
% 2.75/0.76  % (4702)------------------------------
% 2.75/0.76  % (4702)------------------------------
% 2.89/0.77  % (4726)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.89/0.77  % (4724)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.89/0.77  % (4725)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 2.89/0.77  % (4713)Instruction limit reached!
% 2.89/0.77  % (4713)------------------------------
% 2.89/0.77  % (4713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.77  % (4713)Termination reason: Unknown
% 2.89/0.77  % (4713)Termination phase: Saturation
% 2.89/0.77  
% 2.89/0.77  % (4713)Memory used [KB]: 6524
% 2.89/0.77  % (4713)Time elapsed: 0.183 s
% 2.89/0.77  % (4713)Instructions burned: 448 (million)
% 2.89/0.77  % (4713)------------------------------
% 2.89/0.77  % (4713)------------------------------
% 2.89/0.79  % (4727)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 2.89/0.79  % (4716)Instruction limit reached!
% 2.89/0.79  % (4716)------------------------------
% 2.89/0.79  % (4716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.79  % (4716)Termination reason: Unknown
% 2.89/0.79  % (4716)Termination phase: Saturation
% 2.89/0.79  
% 2.89/0.79  % (4716)Memory used [KB]: 6524
% 2.89/0.79  % (4716)Time elapsed: 0.177 s
% 2.89/0.79  % (4716)Instructions burned: 507 (million)
% 2.89/0.79  % (4716)------------------------------
% 2.89/0.79  % (4716)------------------------------
% 2.89/0.79  % (4725)Instruction limit reached!
% 2.89/0.79  % (4725)------------------------------
% 2.89/0.79  % (4725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.79  % (4725)Termination reason: Unknown
% 2.89/0.79  % (4725)Termination phase: Saturation
% 2.89/0.79  
% 2.89/0.79  % (4725)Memory used [KB]: 5756
% 2.89/0.79  % (4725)Time elapsed: 0.018 s
% 2.89/0.79  % (4725)Instructions burned: 31 (million)
% 2.89/0.79  % (4725)------------------------------
% 2.89/0.79  % (4725)------------------------------
% 2.89/0.80  % (4728)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 2.89/0.80  % (4723)First to succeed.
% 2.89/0.80  % (4726)Instruction limit reached!
% 2.89/0.80  % (4726)------------------------------
% 2.89/0.80  % (4726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.80  % (4726)Termination reason: Unknown
% 2.89/0.80  % (4726)Termination phase: Saturation
% 2.89/0.80  
% 2.89/0.80  % (4726)Memory used [KB]: 5756
% 2.89/0.80  % (4726)Time elapsed: 0.032 s
% 2.89/0.80  % (4726)Instructions burned: 98 (million)
% 2.89/0.80  % (4726)------------------------------
% 2.89/0.80  % (4726)------------------------------
% 2.89/0.80  % (4723)Refutation found. Thanks to Tanya!
% 2.89/0.80  % SZS status Theorem for theBenchmark
% 2.89/0.80  % SZS output start Proof for theBenchmark
% 2.89/0.80  thf(func_def_0, type, r: (($i > $o) > $o) > (($i > $o) > $o) > $o).
% 2.89/0.80  thf(func_def_2, type, cNAT: (($i > $o) > $o) > $o).
% 2.89/0.80  thf(func_def_3, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 2.89/0.80  thf(func_def_4, type, cZERO: ($i > $o) > $o).
% 2.89/0.80  thf(func_def_19, type, ph0: !>[X0: $tType]:(X0)).
% 2.89/0.80  thf(func_def_20, type, sK1: ($i > $o) > $o).
% 2.89/0.80  thf(func_def_27, type, sK2: ($i > $o) > $o).
% 2.89/0.80  thf(f212,plain,(
% 2.89/0.80    $false),
% 2.89/0.80    inference(trivial_inequality_removal,[],[f210])).
% 2.89/0.80  thf(f210,plain,(
% 2.89/0.80    ($true = $false)),
% 2.89/0.80    inference(superposition,[],[f179,f98])).
% 2.89/0.80  thf(f98,plain,(
% 2.89/0.80    ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((((r @ X2 @ X1) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (X2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (X1 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))))))))) = $true)) )),
% 2.89/0.80    inference(beta_eta_normalization,[],[f97])).
% 2.89/0.80  thf(f97,plain,(
% 2.89/0.80    ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = ((^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ X1) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (X1 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))) @ X2))) )),
% 2.89/0.80    inference(pi_clausification,[],[f83])).
% 2.89/0.80  thf(f83,plain,(
% 2.89/0.80    ( ! [X1 : ($i > $o) > $o] : (($true = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ X1) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (X1 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))))) )),
% 2.89/0.80    inference(beta_eta_normalization,[],[f78])).
% 2.89/0.80  thf(f78,plain,(
% 2.89/0.80    ( ! [X1 : ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) @ X1) = $true)) )),
% 2.89/0.80    inference(pi_clausification,[],[f41])).
% 2.89/0.80  thf(f41,plain,(
% 2.89/0.80    ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))))))))) = $true)),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f29])).
% 2.89/0.80  thf(f29,plain,(
% 2.89/0.80    ($true = (((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ Y3)))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6)))))))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))))))),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f27])).
% 2.89/0.80  thf(f27,plain,(
% 2.89/0.80    (((((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ Y3)))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6)))))))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5)))))))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))))) = $false)),
% 2.89/0.80    inference(not_proxy_clausification,[],[f26])).
% 2.89/0.80  thf(f26,plain,(
% 2.89/0.80    ($true = (~ ((((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ Y3)))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6)))))))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5)))))))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))))))),
% 2.89/0.80    inference(beta_eta_normalization,[],[f25])).
% 2.89/0.80  thf(f25,plain,(
% 2.89/0.80    ($true = (~ ((((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))))))))) @ Y1)))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (((^[Y2 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y3 : (($i > $o) > $o) > $o]: (((Y3 @ (^[Y4 : $i > $o]: (~ (?? @ $i @ (^[Y5 : $i]: (Y4 @ Y5)))))) & (!! @ (($i > $o) > $o) @ (^[Y4 : ($i > $o) > $o]: ((Y3 @ Y4) => (Y3 @ ((^[Y5 : ($i > $o) > $o]: ((^[Y6 : $i > $o]: (?? @ $i @ (^[Y7 : $i]: ((Y6 @ Y7) & (Y5 @ (^[Y8 : $i]: ((Y6 @ Y8) & (~ (Y7 = Y8))))))))))) @ Y4)))))) => (Y3 @ Y2))))) @ Y1) => (Y0 @ Y1))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))))))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))))))))) @ Y0)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (((^[Y1 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ (^[Y4 : $i]: (Y3 @ Y4)))))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: (?? @ $i @ (^[Y6 : $i]: ((Y5 @ Y6) & (Y4 @ (^[Y7 : $i]: ((Y5 @ Y7) & (~ (Y6 = Y7))))))))))) @ Y3)))))) => (Y2 @ Y1))))) @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.89/0.80    inference(definition_unfolding,[],[f18,f24,f21,f21,f19,f19,f23])).
% 2.89/0.80  thf(f23,plain,(
% 2.89/0.80    (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))))))))) @ Y2)))))) => (Y1 @ Y0))))))),
% 2.89/0.80    inference(definition_unfolding,[],[f22,f21,f19])).
% 2.89/0.80  thf(f22,plain,(
% 2.89/0.80    (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.89/0.80    inference(cnf_transformation,[],[f17])).
% 2.89/0.80  thf(f17,plain,(
% 2.89/0.80    (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.89/0.80    inference(fool_elimination,[],[f16])).
% 2.89/0.80  thf(f16,plain,(
% 2.89/0.80    (cNAT = (^[X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : ((! [X2 : ($i > $o) > $o] : ((X1 @ X2) => (X1 @ (cSUCC @ X2))) & (X1 @ cZERO)) => (X1 @ X0)))))),
% 2.89/0.80    inference(rectify,[],[f3])).
% 2.89/0.80  thf(f3,axiom,(
% 2.89/0.80    (cNAT = (^[X2 : ($i > $o) > $o] : (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => (X0 @ X2)))))),
% 2.89/0.80    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNAT_def)).
% 2.89/0.80  thf(f19,plain,(
% 2.89/0.80    (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))),
% 2.89/0.80    inference(cnf_transformation,[],[f15])).
% 2.89/0.80  thf(f15,plain,(
% 2.89/0.80    (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))),
% 2.89/0.80    inference(fool_elimination,[],[f14])).
% 2.89/0.80  thf(f14,plain,(
% 2.89/0.80    (cSUCC = (^[X0 : ($i > $o) > $o, X1 : $i > $o] : (? [X2] : ((X0 @ (^[X3 : $i] : ((X2 != X3) & (X1 @ X3)))) & (X1 @ X2)))))),
% 2.89/0.80    inference(rectify,[],[f2])).
% 2.89/0.80  thf(f2,axiom,(
% 2.89/0.80    (cSUCC = (^[X2 : ($i > $o) > $o, X0 : $i > $o] : (? [X1] : ((X2 @ (^[X3 : $i] : ((X1 != X3) & (X0 @ X3)))) & (X0 @ X1)))))),
% 2.89/0.80    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSUCC_def)).
% 2.89/0.80  thf(f21,plain,(
% 2.89/0.80    (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.89/0.80    inference(cnf_transformation,[],[f11])).
% 2.89/0.80  thf(f11,plain,(
% 2.89/0.80    (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.89/0.80    inference(fool_elimination,[],[f10])).
% 2.89/0.80  thf(f10,plain,(
% 2.89/0.80    (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
% 2.89/0.80    inference(rectify,[],[f1])).
% 2.89/0.80  thf(f1,axiom,(
% 2.89/0.80    (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
% 2.89/0.80    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cZERO_def)).
% 2.89/0.80  thf(f24,plain,(
% 2.89/0.80    (cINDUCTION = (!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))))))))) @ Y1)))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (((^[Y2 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y3 : (($i > $o) > $o) > $o]: (((Y3 @ (^[Y4 : $i > $o]: (~ (?? @ $i @ (^[Y5 : $i]: (Y4 @ Y5)))))) & (!! @ (($i > $o) > $o) @ (^[Y4 : ($i > $o) > $o]: ((Y3 @ Y4) => (Y3 @ ((^[Y5 : ($i > $o) > $o]: ((^[Y6 : $i > $o]: (?? @ $i @ (^[Y7 : $i]: ((Y6 @ Y7) & (Y5 @ (^[Y8 : $i]: ((Y6 @ Y8) & (~ (Y7 = Y8))))))))))) @ Y4)))))) => (Y3 @ Y2))))) @ Y1) => (Y0 @ Y1))))))))),
% 2.89/0.80    inference(definition_unfolding,[],[f20,f21,f19,f23])).
% 2.89/0.80  thf(f20,plain,(
% 2.89/0.80    (cINDUCTION = (!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1)))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((cNAT @ Y1) => (Y0 @ Y1))))))))),
% 2.89/0.80    inference(cnf_transformation,[],[f13])).
% 2.89/0.80  thf(f13,plain,(
% 2.89/0.80    (cINDUCTION = (!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1)))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((cNAT @ Y1) => (Y0 @ Y1))))))))),
% 2.89/0.80    inference(fool_elimination,[],[f12])).
% 2.89/0.80  thf(f12,plain,(
% 2.89/0.80    (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => ! [X2 : ($i > $o) > $o] : ((cNAT @ X2) => (X0 @ X2))) = cINDUCTION)),
% 2.89/0.80    inference(rectify,[],[f4])).
% 2.89/0.80  thf(f4,axiom,(
% 2.89/0.80    (! [X4 : (($i > $o) > $o) > $o] : ((! [X5 : ($i > $o) > $o] : ((X4 @ X5) => (X4 @ (cSUCC @ X5))) & (X4 @ cZERO)) => ! [X6 : ($i > $o) > $o] : ((cNAT @ X6) => (X4 @ X6))) = cINDUCTION)),
% 2.89/0.80    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cINDUCTION_def)).
% 2.89/0.80  thf(f18,plain,(
% 2.89/0.80    ($true = (~ (((cINDUCTION & (r @ cZERO @ cZERO)) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (cSUCC @ Y1) @ (cSUCC @ Y0)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.89/0.80    inference(cnf_transformation,[],[f9])).
% 2.89/0.80  thf(f9,plain,(
% 2.89/0.80    ($true = (~ (((cINDUCTION & (r @ cZERO @ cZERO)) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (cSUCC @ Y1) @ (cSUCC @ Y0)))))))) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.89/0.80    inference(fool_elimination,[],[f8])).
% 2.89/0.80  thf(f8,plain,(
% 2.89/0.80    ~((! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((r @ X0 @ X1) => (r @ (cSUCC @ X0) @ (cSUCC @ X1))) & (r @ cZERO @ cZERO) & cINDUCTION) => ! [X2 : ($i > $o) > $o] : ((cNAT @ X2) => ? [X3 : ($i > $o) > $o] : (r @ X2 @ X3)))),
% 2.89/0.80    inference(rectify,[],[f6])).
% 2.89/0.80  thf(f6,negated_conjecture,(
% 2.89/0.80    ~((! [X1 : ($i > $o) > $o,X7 : ($i > $o) > $o] : ((r @ X1 @ X7) => (r @ (cSUCC @ X1) @ (cSUCC @ X7))) & (r @ cZERO @ cZERO) & cINDUCTION) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X7 : ($i > $o) > $o] : (r @ X1 @ X7)))),
% 2.89/0.80    inference(negated_conjecture,[],[f5])).
% 2.89/0.80  thf(f5,conjecture,(
% 2.89/0.80    (! [X1 : ($i > $o) > $o,X7 : ($i > $o) > $o] : ((r @ X1 @ X7) => (r @ (cSUCC @ X1) @ (cSUCC @ X7))) & (r @ cZERO @ cZERO) & cINDUCTION) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X7 : ($i > $o) > $o] : (r @ X1 @ X7))),
% 2.89/0.80    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM130_NAT)).
% 2.89/0.80  thf(f179,plain,(
% 2.89/0.80    (((r @ sK2 @ sK2) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (sK2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (sK2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))))))))) = $false)),
% 2.89/0.80    inference(beta_eta_normalization,[],[f171])).
% 2.89/0.80  thf(f171,plain,(
% 2.89/0.80    ($false = ((^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))) @ sK2))),
% 2.89/0.80    inference(sigma_clausification,[],[f160])).
% 2.89/0.80  thf(f160,plain,(
% 2.89/0.80    ($false = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))))),
% 2.89/0.80    inference(not_proxy_clausification,[],[f143])).
% 2.89/0.80  thf(f143,plain,(
% 2.89/0.80    ($true = (~ (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))))))),
% 2.89/0.80    inference(boolean_simplification,[],[f142])).
% 2.89/0.80  thf(f142,plain,(
% 2.89/0.80    ($true = ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))) => $false))),
% 2.89/0.80    inference(forward_demodulation,[],[f127,f49])).
% 2.89/0.80  thf(f49,plain,(
% 2.89/0.80    ( ! [X1 : ($i > $o) > $o] : (((r @ sK1 @ X1) = $false)) )),
% 2.89/0.80    inference(pi_clausification,[],[f39])).
% 2.89/0.80  thf(f39,plain,(
% 2.89/0.80    ((?? @ (($i > $o) > $o) @ (r @ sK1)) = $false)),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f38])).
% 2.89/0.80  thf(f38,plain,(
% 2.89/0.80    (((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (Y0 @ sK1)))) => (?? @ (($i > $o) > $o) @ (r @ sK1))) = $false)),
% 2.89/0.80    inference(beta_eta_normalization,[],[f32])).
% 2.89/0.80  thf(f32,plain,(
% 2.89/0.80    ($false = ((^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5)))))))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))) @ sK1))),
% 2.89/0.80    inference(sigma_clausification,[],[f28])).
% 2.89/0.80  thf(f28,plain,(
% 2.89/0.80    ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ (^[Y2 : $i > $o]: (~ (?? @ $i @ Y2)))) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) & (Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5)))))))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))) = $false)),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f27])).
% 2.89/0.80  thf(f127,plain,(
% 2.89/0.80    ($true = ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))))))) => (r @ sK1 @ sK1)))),
% 2.89/0.80    inference(boolean_simplification,[],[f126])).
% 2.89/0.80  thf(f126,plain,(
% 2.89/0.80    ($true = (($true & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))))) => (r @ sK1 @ sK1)))),
% 2.89/0.80    inference(beta_eta_normalization,[],[f121])).
% 2.89/0.80  thf(f121,plain,(
% 2.89/0.80    ($true = (($true & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (((^[Y1 : ($i > $o) > $o]: (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1))) @ Y0) => ((^[Y1 : ($i > $o) > $o]: (r @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (Y2 @ ((^[Y4 : ($i > $o) > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (Y5 @ ((^[Y7 : ($i > $o) > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y1))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))))) => ((^[Y0 : ($i > $o) > $o]: (r @ ((^[Y1 : ($i > $o) > $o]: ((^[Y2 : $i > $o]: (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : ($i > $o) > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0) @ ((^[Y1 : ($i > $o) > $o]: ((^[Y2 : $i > $o]: (Y1 @ ((^[Y3 : ($i > $o) > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (Y4 @ ((^[Y6 : ($i > $o) > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)))),
% 2.89/0.80    inference(superposition,[],[f54,f102])).
% 2.89/0.80  thf(f102,plain,(
% 2.89/0.80    ((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) = $true)),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f42])).
% 2.89/0.80  thf(f42,plain,(
% 2.89/0.80    ($true = ((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((!! @ ((($i > $o) > $o) > $o) @ (^[Y2 : (($i > $o) > $o) > $o]: (((Y2 @ (^[Y3 : $i > $o]: (~ (?? @ $i @ Y3)))) & (!! @ (($i > $o) > $o) @ (^[Y3 : ($i > $o) > $o]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : $i > $o]: (?? @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) & (Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6)))))))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))))))),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f29])).
% 2.89/0.80  thf(f54,plain,(
% 2.89/0.80    ( ! [X1 : (($i > $o) > $o) > $o] : (($true = (((X1 @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((X1 @ Y0) => (X1 @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3)))))))))))))) => (X1 @ sK1)))) )),
% 2.89/0.80    inference(beta_eta_normalization,[],[f52])).
% 2.89/0.80  thf(f52,plain,(
% 2.89/0.80    ( ! [X1 : (($i > $o) > $o) > $o] : ((((^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (Y0 @ sK1))) @ X1) = $true)) )),
% 2.89/0.80    inference(pi_clausification,[],[f40])).
% 2.89/0.80  thf(f40,plain,(
% 2.89/0.80    ((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((Y0 @ (^[Y1 : $i > $o]: (~ (?? @ $i @ Y1)))) & (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) & (Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4)))))))))))))) => (Y0 @ sK1)))) = $true)),
% 2.89/0.80    inference(binary_proxy_clausification,[],[f38])).
% 2.89/0.80  % SZS output end Proof for theBenchmark
% 2.89/0.80  % (4723)------------------------------
% 2.89/0.80  % (4723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.89/0.80  % (4723)Termination reason: Refutation
% 2.89/0.80  
% 2.89/0.80  % (4723)Memory used [KB]: 3198
% 2.89/0.80  % (4723)Time elapsed: 0.065 s
% 2.89/0.80  % (4723)Instructions burned: 221 (million)
% 2.89/0.80  % (4723)------------------------------
% 2.89/0.80  % (4723)------------------------------
% 2.89/0.80  % (4672)Success in time 0.449 s
% 2.89/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------