TSTP Solution File: SEV295^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV295^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 Jun 24 16:02:40 EDT 2024
% Result : Theorem 2.70s 0.81s
% Output : Refutation 2.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV295^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:19:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.35 This is a TH0_THM_EQU_NAR problem
% 0.19/0.35 Running higher-order theorem proving
% 0.19/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.19/0.37 % (24326)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.37 % (24329)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.38 % (24328)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)
% 0.19/0.38 % (24330)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)
% 0.19/0.38 % (24327)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)
% 0.19/0.38 % (24331)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)
% 0.19/0.38 % (24332)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.38 % (24329)Instruction limit reached!
% 0.19/0.38 % (24329)------------------------------
% 0.19/0.38 % (24329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (24329)Termination reason: Unknown
% 0.19/0.38 % (24330)Instruction limit reached!
% 0.19/0.38 % (24330)------------------------------
% 0.19/0.38 % (24330)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (24329)Termination phase: Property scanning
% 0.19/0.38
% 0.19/0.38 % (24329)Memory used [KB]: 895
% 0.19/0.38 % (24329)Time elapsed: 0.003 s
% 0.19/0.38 % (24329)Instructions burned: 2 (million)
% 0.19/0.38 % (24329)------------------------------
% 0.19/0.38 % (24329)------------------------------
% 0.19/0.38 % (24330)Termination reason: Unknown
% 0.19/0.38 % (24330)Termination phase: Property scanning
% 0.19/0.38
% 0.19/0.38 % (24330)Memory used [KB]: 1023
% 0.19/0.38 % (24330)Time elapsed: 0.003 s
% 0.19/0.38 % (24330)Instructions burned: 2 (million)
% 0.19/0.38 % (24330)------------------------------
% 0.19/0.38 % (24330)------------------------------
% 0.19/0.38 % (24327)Instruction limit reached!
% 0.19/0.38 % (24327)------------------------------
% 0.19/0.38 % (24327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (24327)Termination reason: Unknown
% 0.19/0.38 % (24327)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (24327)Memory used [KB]: 5500
% 0.19/0.38 % (24327)Time elapsed: 0.005 s
% 0.19/0.38 % (24327)Instructions burned: 4 (million)
% 0.19/0.38 % (24327)------------------------------
% 0.19/0.38 % (24327)------------------------------
% 0.19/0.39 % (24332)Instruction limit reached!
% 0.19/0.39 % (24332)------------------------------
% 0.19/0.39 % (24332)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (24332)Termination reason: Unknown
% 0.19/0.39 % (24332)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (24332)Memory used [KB]: 5628
% 0.19/0.39 % (24332)Time elapsed: 0.014 s
% 0.19/0.39 % (24332)Instructions burned: 19 (million)
% 0.19/0.39 % (24332)------------------------------
% 0.19/0.39 % (24332)------------------------------
% 0.19/0.39 % (24333)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)
% 0.19/0.39 % (24334)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)
% 0.19/0.39 % (24328)Instruction limit reached!
% 0.19/0.39 % (24328)------------------------------
% 0.19/0.39 % (24328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (24328)Termination reason: Unknown
% 0.19/0.39 % (24328)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (24328)Memory used [KB]: 5628
% 0.19/0.39 % (24328)Time elapsed: 0.020 s
% 0.19/0.39 % (24328)Instructions burned: 28 (million)
% 0.19/0.39 % (24328)------------------------------
% 0.19/0.39 % (24328)------------------------------
% 0.19/0.39 % (24333)Instruction limit reached!
% 0.19/0.39 % (24333)------------------------------
% 0.19/0.39 % (24333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (24335)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)
% 0.19/0.39 % (24333)Termination reason: Unknown
% 0.19/0.39 % (24333)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (24333)Memory used [KB]: 1023
% 0.19/0.39 % (24333)Time elapsed: 0.004 s
% 0.19/0.39 % (24333)Instructions burned: 4 (million)
% 0.19/0.39 % (24333)------------------------------
% 0.19/0.39 % (24333)------------------------------
% 0.19/0.40 % (24336)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)
% 0.19/0.40 % (24335)Instruction limit reached!
% 0.19/0.40 % (24335)------------------------------
% 0.19/0.40 % (24335)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (24335)Termination reason: Unknown
% 0.19/0.40 % (24335)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (24335)Memory used [KB]: 5628
% 0.19/0.40 % (24335)Time elapsed: 0.013 s
% 0.19/0.40 % (24335)Instructions burned: 16 (million)
% 0.19/0.40 % (24335)------------------------------
% 0.19/0.40 % (24335)------------------------------
% 0.19/0.40 % (24336)Instruction limit reached!
% 0.19/0.40 % (24336)------------------------------
% 0.19/0.40 % (24336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (24336)Termination reason: Unknown
% 0.19/0.40 % (24336)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (24336)Memory used [KB]: 1023
% 0.19/0.40 % (24336)Time elapsed: 0.004 s
% 0.19/0.40 % (24336)Instructions burned: 3 (million)
% 0.19/0.40 % (24336)------------------------------
% 0.19/0.40 % (24336)------------------------------
% 0.19/0.41 % (24337)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)
% 0.19/0.41 % (24338)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.41 % (24338)Instruction limit reached!
% 0.19/0.41 % (24338)------------------------------
% 0.19/0.41 % (24338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (24338)Termination reason: Unknown
% 0.19/0.41 % (24338)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (24338)Memory used [KB]: 1023
% 0.19/0.41 % (24338)Time elapsed: 0.006 s
% 0.19/0.41 % (24338)Instructions burned: 7 (million)
% 0.19/0.41 % (24338)------------------------------
% 0.19/0.41 % (24338)------------------------------
% 0.19/0.41 % (24334)Instruction limit reached!
% 0.19/0.41 % (24334)------------------------------
% 0.19/0.41 % (24334)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (24334)Termination reason: Unknown
% 0.19/0.41 % (24334)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (24334)Memory used [KB]: 5628
% 0.19/0.41 % (24334)Time elapsed: 0.024 s
% 0.19/0.41 % (24334)Instructions burned: 38 (million)
% 0.19/0.41 % (24334)------------------------------
% 0.19/0.41 % (24334)------------------------------
% 0.21/0.42 % (24339)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (24340)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 % (24340)Instruction limit reached!
% 0.21/0.42 % (24340)------------------------------
% 0.21/0.42 % (24340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (24340)Termination reason: Unknown
% 0.21/0.42 % (24340)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (24340)Memory used [KB]: 1023
% 0.21/0.42 % (24340)Time elapsed: 0.004 s
% 0.21/0.42 % (24340)Instructions burned: 3 (million)
% 0.21/0.42 % (24340)------------------------------
% 0.21/0.42 % (24340)------------------------------
% 0.21/0.43 % (24341)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)
% 0.21/0.43 % (24342)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)
% 0.21/0.43 % (24341)Instruction limit reached!
% 0.21/0.43 % (24341)------------------------------
% 0.21/0.43 % (24341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (24341)Termination reason: Unknown
% 0.21/0.43 % (24341)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (24341)Memory used [KB]: 1023
% 0.21/0.43 % (24341)Time elapsed: 0.004 s
% 0.21/0.43 % (24341)Instructions burned: 4 (million)
% 0.21/0.43 % (24341)------------------------------
% 0.21/0.43 % (24341)------------------------------
% 0.21/0.43 % (24339)Instruction limit reached!
% 0.21/0.43 % (24339)------------------------------
% 0.21/0.43 % (24339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (24339)Termination reason: Unknown
% 0.21/0.43 % (24339)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (24339)Memory used [KB]: 5756
% 0.21/0.43 % (24339)Time elapsed: 0.014 s
% 0.21/0.43 % (24339)Instructions burned: 17 (million)
% 0.21/0.43 % (24339)------------------------------
% 0.21/0.43 % (24339)------------------------------
% 0.21/0.43 % (24342)Refutation not found, incomplete strategy
% 0.21/0.43 % (24342)------------------------------
% 0.21/0.43 % (24342)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (24342)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (24342)Memory used [KB]: 5500
% 0.21/0.43 % (24342)Time elapsed: 0.005 s
% 0.21/0.43 % (24342)Instructions burned: 5 (million)
% 0.21/0.43 % (24342)------------------------------
% 0.21/0.43 % (24342)------------------------------
% 0.21/0.44 % (24343)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)
% 0.21/0.44 % (24343)Instruction limit reached!
% 0.21/0.44 % (24343)------------------------------
% 0.21/0.44 % (24343)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (24343)Termination reason: Unknown
% 0.21/0.44 % (24343)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (24343)Memory used [KB]: 1023
% 0.21/0.44 % (24343)Time elapsed: 0.004 s
% 0.21/0.44 % (24343)Instructions burned: 4 (million)
% 0.21/0.44 % (24343)------------------------------
% 0.21/0.44 % (24343)------------------------------
% 0.21/0.45 % (24344)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (24345)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)
% 0.21/0.45 % (24344)Instruction limit reached!
% 0.21/0.45 % (24344)------------------------------
% 0.21/0.45 % (24344)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (24344)Termination reason: Unknown
% 0.21/0.45 % (24344)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (24344)Memory used [KB]: 1023
% 0.21/0.45 % (24344)Time elapsed: 0.004 s
% 0.21/0.45 % (24344)Instructions burned: 4 (million)
% 0.21/0.45 % (24344)------------------------------
% 0.21/0.45 % (24344)------------------------------
% 0.21/0.45 % (24346)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (24347)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (24347)Instruction limit reached!
% 0.21/0.46 % (24347)------------------------------
% 0.21/0.46 % (24347)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (24347)Termination reason: Unknown
% 0.21/0.46 % (24347)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (24347)Memory used [KB]: 5500
% 0.21/0.46 % (24347)Time elapsed: 0.006 s
% 0.21/0.46 % (24347)Instructions burned: 8 (million)
% 0.21/0.46 % (24347)------------------------------
% 0.21/0.46 % (24347)------------------------------
% 0.21/0.46 % (24345)Instruction limit reached!
% 0.21/0.46 % (24345)------------------------------
% 0.21/0.46 % (24345)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (24345)Termination reason: Unknown
% 0.21/0.46 % (24345)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (24345)Memory used [KB]: 5628
% 0.21/0.46 % (24345)Time elapsed: 0.015 s
% 0.21/0.46 % (24345)Instructions burned: 19 (million)
% 0.21/0.46 % (24345)------------------------------
% 0.21/0.46 % (24345)------------------------------
% 0.21/0.46 % (24348)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)
% 0.21/0.47 % (24348)Refutation not found, incomplete strategy
% 0.21/0.47 % (24348)------------------------------
% 0.21/0.47 % (24348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (24348)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (24348)Memory used [KB]: 5500
% 0.21/0.47 % (24348)Time elapsed: 0.005 s
% 0.21/0.47 % (24348)Instructions burned: 5 (million)
% 0.21/0.47 % (24348)------------------------------
% 0.21/0.47 % (24348)------------------------------
% 0.21/0.47 % (24349)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)
% 0.21/0.48 % (24326)Instruction limit reached!
% 0.21/0.48 % (24326)------------------------------
% 0.21/0.48 % (24326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (24350)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48 % (24326)Termination reason: Unknown
% 0.21/0.48 % (24326)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (24326)Memory used [KB]: 6780
% 0.21/0.48 % (24326)Time elapsed: 0.104 s
% 0.21/0.48 % (24326)Instructions burned: 184 (million)
% 0.21/0.48 % (24326)------------------------------
% 0.21/0.48 % (24326)------------------------------
% 0.21/0.48 % (24351)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)
% 0.21/0.48 % (24350)Instruction limit reached!
% 0.21/0.48 % (24350)------------------------------
% 0.21/0.48 % (24350)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (24350)Termination reason: Unknown
% 0.21/0.48 % (24350)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (24350)Memory used [KB]: 5500
% 0.21/0.48 % (24350)Time elapsed: 0.005 s
% 0.21/0.48 % (24350)Instructions burned: 6 (million)
% 0.21/0.48 % (24350)------------------------------
% 0.21/0.48 % (24350)------------------------------
% 0.21/0.48 % (24351)Instruction limit reached!
% 0.21/0.48 % (24351)------------------------------
% 0.21/0.48 % (24351)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (24351)Termination reason: Unknown
% 0.21/0.48 % (24351)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (24351)Memory used [KB]: 5500
% 0.21/0.48 % (24351)Time elapsed: 0.003 s
% 0.21/0.48 % (24351)Instructions burned: 6 (million)
% 0.21/0.48 % (24351)------------------------------
% 0.21/0.48 % (24351)------------------------------
% 0.21/0.48 % (24349)Instruction limit reached!
% 0.21/0.48 % (24349)------------------------------
% 0.21/0.48 % (24349)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (24349)Termination reason: Unknown
% 0.21/0.48 % (24349)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (24349)Memory used [KB]: 5628
% 0.21/0.48 % (24349)Time elapsed: 0.034 s
% 0.21/0.48 % (24349)Instructions burned: 21 (million)
% 0.21/0.48 % (24349)------------------------------
% 0.21/0.48 % (24349)------------------------------
% 0.21/0.49 % (24354)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)
% 0.21/0.49 % (24352)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49 % (24355)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)
% 0.21/0.49 % (24353)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 (2998ds/779Mi)
% 0.21/0.50 % (24354)Instruction limit reached!
% 0.21/0.50 % (24354)------------------------------
% 0.21/0.50 % (24354)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (24354)Termination reason: Unknown
% 0.21/0.50 % (24354)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (24354)Memory used [KB]: 5500
% 0.21/0.50 % (24354)Time elapsed: 0.009 s
% 0.21/0.50 % (24354)Instructions burned: 21 (million)
% 0.21/0.50 % (24354)------------------------------
% 0.21/0.50 % (24354)------------------------------
% 0.21/0.51 % (24356)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.51 % (24356)Instruction limit reached!
% 0.21/0.51 % (24356)------------------------------
% 0.21/0.51 % (24356)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (24356)Termination reason: Unknown
% 0.21/0.51 % (24356)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (24356)Memory used [KB]: 5628
% 0.21/0.51 % (24356)Time elapsed: 0.008 s
% 0.21/0.51 % (24356)Instructions burned: 17 (million)
% 0.21/0.51 % (24356)------------------------------
% 0.21/0.51 % (24356)------------------------------
% 0.21/0.52 % (24331)Instruction limit reached!
% 0.21/0.52 % (24331)------------------------------
% 0.21/0.52 % (24331)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (24331)Termination reason: Unknown
% 0.21/0.52 % (24331)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (24331)Memory used [KB]: 6012
% 0.21/0.52 % (24331)Time elapsed: 0.145 s
% 0.21/0.52 % (24331)Instructions burned: 276 (million)
% 0.21/0.52 % (24331)------------------------------
% 0.21/0.52 % (24331)------------------------------
% 0.21/0.52 % (24357)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.52 % (24357)Instruction limit reached!
% 0.21/0.52 % (24357)------------------------------
% 0.21/0.52 % (24357)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (24357)Termination reason: Unknown
% 0.21/0.52 % (24357)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (24357)Memory used [KB]: 1023
% 0.21/0.52 % (24357)Time elapsed: 0.003 s
% 0.21/0.52 % (24357)Instructions burned: 4 (million)
% 0.21/0.52 % (24357)------------------------------
% 0.21/0.52 % (24357)------------------------------
% 0.21/0.53 % (24358)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.53 % (24359)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)
% 0.21/0.54 % (24358)Instruction limit reached!
% 0.21/0.54 % (24358)------------------------------
% 0.21/0.54 % (24358)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54 % (24358)Termination reason: Unknown
% 0.21/0.54 % (24358)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (24358)Memory used [KB]: 5628
% 0.21/0.54 % (24358)Time elapsed: 0.012 s
% 0.21/0.54 % (24358)Instructions burned: 31 (million)
% 0.21/0.54 % (24358)------------------------------
% 0.21/0.54 % (24358)------------------------------
% 0.21/0.55 % (24360)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)
% 1.56/0.57 % (24359)Instruction limit reached!
% 1.56/0.57 % (24359)------------------------------
% 1.56/0.57 % (24359)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.56/0.57 % (24359)Termination reason: Unknown
% 1.56/0.57 % (24359)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (24359)Memory used [KB]: 6140
% 1.56/0.57 % (24359)Time elapsed: 0.045 s
% 1.56/0.57 % (24359)Instructions burned: 128 (million)
% 1.56/0.57 % (24359)------------------------------
% 1.56/0.57 % (24359)------------------------------
% 1.56/0.58 % (24360)Instruction limit reached!
% 1.56/0.58 % (24360)------------------------------
% 1.56/0.58 % (24360)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.56/0.58 % (24360)Termination reason: Unknown
% 1.56/0.58 % (24360)Termination phase: Saturation
% 1.56/0.58
% 1.56/0.58 % (24360)Memory used [KB]: 5628
% 1.56/0.58 % (24360)Time elapsed: 0.035 s
% 1.56/0.58 % (24360)Instructions burned: 100 (million)
% 1.56/0.58 % (24360)------------------------------
% 1.56/0.58 % (24360)------------------------------
% 1.56/0.58 % (24361)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.56/0.59 % (24361)Instruction limit reached!
% 1.56/0.59 % (24361)------------------------------
% 1.56/0.59 % (24361)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.56/0.59 % (24361)Termination reason: Unknown
% 1.56/0.59 % (24361)Termination phase: Property scanning
% 1.56/0.59
% 1.56/0.59 % (24361)Memory used [KB]: 1023
% 1.56/0.59 % (24361)Time elapsed: 0.003 s
% 1.56/0.59 % (24361)Instructions burned: 3 (million)
% 1.56/0.59 % (24361)------------------------------
% 1.56/0.59 % (24361)------------------------------
% 1.72/0.59 % (24362)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.72/0.59 % (24363)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)
% 1.72/0.60 % (24362)Instruction limit reached!
% 1.72/0.60 % (24362)------------------------------
% 1.72/0.60 % (24362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.72/0.60 % (24362)Termination reason: Unknown
% 1.72/0.60 % (24362)Termination phase: Saturation
% 1.72/0.60
% 1.72/0.60 % (24362)Memory used [KB]: 5756
% 1.72/0.60 % (24362)Time elapsed: 0.011 s
% 1.72/0.60 % (24362)Instructions burned: 22 (million)
% 1.72/0.60 % (24362)------------------------------
% 1.72/0.60 % (24362)------------------------------
% 1.72/0.61 % (24364)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)
% 1.72/0.62 % (24363)Instruction limit reached!
% 1.72/0.62 % (24363)------------------------------
% 1.72/0.62 % (24363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.72/0.62 % (24363)Termination reason: Unknown
% 1.72/0.62 % (24363)Termination phase: Saturation
% 1.72/0.62
% 1.72/0.62 % (24363)Memory used [KB]: 6140
% 1.72/0.62 % (24363)Time elapsed: 0.030 s
% 1.72/0.62 % (24363)Instructions burned: 86 (million)
% 1.72/0.62 % (24363)------------------------------
% 1.72/0.62 % (24363)------------------------------
% 1.99/0.63 % (24365)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)
% 1.99/0.63 % (24352)Instruction limit reached!
% 1.99/0.63 % (24352)------------------------------
% 1.99/0.63 % (24352)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.99/0.63 % (24352)Termination reason: Unknown
% 1.99/0.63 % (24352)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (24352)Memory used [KB]: 6652
% 1.99/0.63 % (24352)Time elapsed: 0.133 s
% 1.99/0.63 % (24352)Instructions burned: 379 (million)
% 1.99/0.63 % (24352)------------------------------
% 1.99/0.63 % (24352)------------------------------
% 2.03/0.64 % (24366)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.03/0.64 % (24364)Instruction limit reached!
% 2.03/0.64 % (24364)------------------------------
% 2.03/0.64 % (24364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.03/0.64 % (24364)Termination reason: Unknown
% 2.03/0.64 % (24364)Termination phase: Saturation
% 2.03/0.64
% 2.03/0.64 % (24364)Memory used [KB]: 5884
% 2.03/0.64 % (24364)Time elapsed: 0.038 s
% 2.03/0.64 % (24364)Instructions burned: 107 (million)
% 2.03/0.64 % (24364)------------------------------
% 2.03/0.64 % (24364)------------------------------
% 2.03/0.65 % (24365)Instruction limit reached!
% 2.03/0.65 % (24365)------------------------------
% 2.03/0.65 % (24365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.03/0.65 % (24365)Termination reason: Unknown
% 2.03/0.65 % (24365)Termination phase: Saturation
% 2.03/0.65
% 2.03/0.65 % (24365)Memory used [KB]: 5884
% 2.03/0.65 % (24365)Time elapsed: 0.015 s
% 2.03/0.65 % (24365)Instructions burned: 42 (million)
% 2.03/0.65 % (24365)------------------------------
% 2.03/0.65 % (24365)------------------------------
% 2.03/0.65 % (24367)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)
% 2.03/0.65 % (24368)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)
% 2.03/0.67 % (24367)Instruction limit reached!
% 2.03/0.67 % (24367)------------------------------
% 2.03/0.67 % (24367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.03/0.67 % (24367)Termination reason: Unknown
% 2.03/0.67 % (24367)Termination phase: Saturation
% 2.03/0.67
% 2.03/0.67 % (24367)Memory used [KB]: 5756
% 2.03/0.67 % (24367)Time elapsed: 0.019 s
% 2.03/0.67 % (24367)Instructions burned: 46 (million)
% 2.03/0.67 % (24367)------------------------------
% 2.03/0.67 % (24367)------------------------------
% 2.03/0.68 % (24369)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.03/0.69 % (24368)Instruction limit reached!
% 2.03/0.69 % (24368)------------------------------
% 2.03/0.69 % (24368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.03/0.69 % (24368)Termination reason: Unknown
% 2.03/0.69 % (24368)Termination phase: Saturation
% 2.03/0.69
% 2.03/0.69 % (24368)Memory used [KB]: 1151
% 2.03/0.69 % (24368)Time elapsed: 0.034 s
% 2.03/0.69 % (24368)Instructions burned: 98 (million)
% 2.03/0.69 % (24368)------------------------------
% 2.03/0.69 % (24368)------------------------------
% 2.03/0.70 % (24370)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.44/0.71 % (24346)Instruction limit reached!
% 2.44/0.71 % (24346)------------------------------
% 2.44/0.71 % (24346)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.71 % (24346)Termination reason: Unknown
% 2.44/0.71 % (24346)Termination phase: Saturation
% 2.44/0.71
% 2.44/0.71 % (24346)Memory used [KB]: 7164
% 2.44/0.71 % (24346)Time elapsed: 0.280 s
% 2.44/0.71 % (24346)Instructions burned: 711 (million)
% 2.44/0.71 % (24346)------------------------------
% 2.44/0.71 % (24346)------------------------------
% 2.44/0.72 % (24371)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.44/0.72 % (24337)Instruction limit reached!
% 2.44/0.72 % (24337)------------------------------
% 2.44/0.72 % (24337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.72 % (24337)Termination reason: Unknown
% 2.44/0.72 % (24337)Termination phase: Saturation
% 2.44/0.72
% 2.44/0.72 % (24337)Memory used [KB]: 6268
% 2.44/0.72 % (24337)Time elapsed: 0.312 s
% 2.44/0.72 % (24337)Instructions burned: 1043 (million)
% 2.44/0.72 % (24337)------------------------------
% 2.44/0.72 % (24337)------------------------------
% 2.44/0.73 % (24372)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.44/0.73 % (24371)Instruction limit reached!
% 2.44/0.73 % (24371)------------------------------
% 2.44/0.73 % (24371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.73 % (24371)Termination reason: Unknown
% 2.44/0.73 % (24371)Termination phase: Saturation
% 2.44/0.73
% 2.44/0.73 % (24371)Memory used [KB]: 5756
% 2.44/0.73 % (24371)Time elapsed: 0.016 s
% 2.44/0.73 % (24371)Instructions burned: 39 (million)
% 2.44/0.73 % (24371)------------------------------
% 2.44/0.73 % (24371)------------------------------
% 2.44/0.73 % (24372)Instruction limit reached!
% 2.44/0.73 % (24372)------------------------------
% 2.44/0.73 % (24372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.73 % (24372)Termination reason: Unknown
% 2.44/0.73 % (24372)Termination phase: Saturation
% 2.44/0.73
% 2.44/0.73 % (24372)Memory used [KB]: 9978
% 2.44/0.73 % (24372)Time elapsed: 0.005 s
% 2.44/0.73 % (24372)Instructions burned: 8 (million)
% 2.44/0.73 % (24372)------------------------------
% 2.44/0.73 % (24372)------------------------------
% 2.44/0.74 % (24373)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)
% 2.44/0.74 % (24374)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.44/0.75 % (24353)Instruction limit reached!
% 2.44/0.75 % (24353)------------------------------
% 2.44/0.75 % (24353)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.75 % (24353)Termination reason: Unknown
% 2.44/0.75 % (24353)Termination phase: Saturation
% 2.44/0.75
% 2.44/0.75 % (24353)Memory used [KB]: 7675
% 2.44/0.75 % (24353)Time elapsed: 0.253 s
% 2.44/0.75 % (24353)Instructions burned: 779 (million)
% 2.44/0.75 % (24353)------------------------------
% 2.44/0.75 % (24353)------------------------------
% 2.44/0.75 % (24370)Instruction limit reached!
% 2.44/0.75 % (24370)------------------------------
% 2.44/0.75 % (24370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.75 % (24370)Termination reason: Unknown
% 2.44/0.75 % (24370)Termination phase: Saturation
% 2.44/0.75
% 2.44/0.75 % (24370)Memory used [KB]: 6140
% 2.44/0.75 % (24370)Time elapsed: 0.057 s
% 2.44/0.75 % (24370)Instructions burned: 150 (million)
% 2.44/0.75 % (24370)------------------------------
% 2.44/0.75 % (24370)------------------------------
% 2.44/0.75 % (24375)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)
% 2.44/0.76 % (24374)Instruction limit reached!
% 2.44/0.76 % (24374)------------------------------
% 2.44/0.76 % (24374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.44/0.76 % (24374)Termination reason: Unknown
% 2.44/0.76 % (24374)Termination phase: Saturation
% 2.44/0.76
% 2.44/0.76 % (24374)Memory used [KB]: 5628
% 2.44/0.76 % (24374)Time elapsed: 0.017 s
% 2.44/0.76 % (24374)Instructions burned: 48 (million)
% 2.44/0.76 % (24374)------------------------------
% 2.44/0.76 % (24374)------------------------------
% 2.44/0.76 % (24376)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)
% 2.70/0.76 % (24377)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.70/0.77 % (24375)Instruction limit reached!
% 2.70/0.77 % (24375)------------------------------
% 2.70/0.77 % (24375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.77 % (24375)Termination reason: Unknown
% 2.70/0.77 % (24375)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (24375)Memory used [KB]: 1279
% 2.70/0.77 % (24375)Time elapsed: 0.017 s
% 2.70/0.77 % (24375)Instructions burned: 44 (million)
% 2.70/0.77 % (24375)------------------------------
% 2.70/0.77 % (24375)------------------------------
% 2.70/0.78 % (24355)Instruction limit reached!
% 2.70/0.78 % (24355)------------------------------
% 2.70/0.78 % (24355)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.78 % (24355)Termination reason: Unknown
% 2.70/0.78 % (24355)Termination phase: Saturation
% 2.70/0.78
% 2.70/0.78 % (24355)Memory used [KB]: 7036
% 2.70/0.78 % (24355)Time elapsed: 0.285 s
% 2.70/0.78 % (24355)Instructions burned: 879 (million)
% 2.70/0.78 % (24355)------------------------------
% 2.70/0.78 % (24355)------------------------------
% 2.70/0.78 % (24378)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 (2996ds/31Mi)
% 2.70/0.78 % (24377)Instruction limit reached!
% 2.70/0.78 % (24377)------------------------------
% 2.70/0.78 % (24377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.78 % (24377)Termination reason: Unknown
% 2.70/0.78 % (24377)Termination phase: Saturation
% 2.70/0.78
% 2.70/0.78 % (24377)Memory used [KB]: 5884
% 2.70/0.78 % (24377)Time elapsed: 0.022 s
% 2.70/0.78 % (24377)Instructions burned: 62 (million)
% 2.70/0.78 % (24377)------------------------------
% 2.70/0.78 % (24377)------------------------------
% 2.70/0.79 % (24379)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.70/0.79 % (24378)Instruction limit reached!
% 2.70/0.79 % (24378)------------------------------
% 2.70/0.79 % (24378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.79 % (24378)Termination reason: Unknown
% 2.70/0.79 % (24378)Termination phase: Saturation
% 2.70/0.79
% 2.70/0.79 % (24378)Memory used [KB]: 5756
% 2.70/0.79 % (24378)Time elapsed: 0.014 s
% 2.70/0.79 % (24378)Instructions burned: 33 (million)
% 2.70/0.79 % (24378)------------------------------
% 2.70/0.79 % (24378)------------------------------
% 2.70/0.79 % (24380)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)
% 2.70/0.80 % (24381)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)
% 2.70/0.80 % (24366)Instruction limit reached!
% 2.70/0.80 % (24366)------------------------------
% 2.70/0.80 % (24366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.80 % (24366)Termination reason: Unknown
% 2.70/0.80 % (24366)Termination phase: Saturation
% 2.70/0.80
% 2.70/0.80 % (24366)Memory used [KB]: 6908
% 2.70/0.80 % (24366)Time elapsed: 0.159 s
% 2.70/0.80 % (24366)Instructions burned: 449 (million)
% 2.70/0.80 % (24366)------------------------------
% 2.70/0.80 % (24366)------------------------------
% 2.70/0.81 % (24382)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 2.70/0.81 % (24376)First to succeed.
% 2.70/0.81 % (24376)Refutation found. Thanks to Tanya!
% 2.70/0.81 % SZS status Theorem for theBenchmark
% 2.70/0.81 % SZS output start Proof for theBenchmark
% 2.70/0.81 thf(func_def_0, type, r: (($i > $o) > $o) > (($i > $o) > $o) > $o).
% 2.70/0.81 thf(func_def_2, type, cNAT: (($i > $o) > $o) > $o).
% 2.70/0.81 thf(func_def_3, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 2.70/0.81 thf(func_def_4, type, cZERO: ($i > $o) > $o).
% 2.70/0.81 thf(func_def_19, type, ph0: !>[X0: $tType]:(X0)).
% 2.70/0.81 thf(func_def_20, type, sK1: ($i > $o) > $o).
% 2.70/0.81 thf(func_def_27, type, sK2: ($i > $o) > $o).
% 2.70/0.81 thf(f184,plain,(
% 2.70/0.81 $false),
% 2.70/0.81 inference(trivial_inequality_removal,[],[f177])).
% 2.70/0.81 thf(f177,plain,(
% 2.70/0.81 ($true = $false)),
% 2.70/0.81 inference(superposition,[],[f125,f169])).
% 2.70/0.81 thf(f169,plain,(
% 2.70/0.81 ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = ((r @ X2 @ X1) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))) & (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))) & (Y0 @ Y1))))))))) )),
% 2.70/0.81 inference(beta_eta_normalization,[],[f168])).
% 2.70/0.81 thf(f168,plain,(
% 2.70/0.81 ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = ((^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ X1) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))) @ X2))) )),
% 2.70/0.81 inference(pi_clausification,[],[f149])).
% 2.70/0.81 thf(f149,plain,(
% 2.70/0.81 ( ! [X1 : ($i > $o) > $o] : (($true = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ X1) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))))) )),
% 2.70/0.81 inference(beta_eta_normalization,[],[f143])).
% 2.70/0.81 thf(f143,plain,(
% 2.70/0.81 ( ! [X1 : ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) @ X1) = $true)) )),
% 2.70/0.81 inference(pi_clausification,[],[f97])).
% 2.70/0.81 thf(f97,plain,(
% 2.70/0.81 ($true = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))))))))))),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f42])).
% 2.70/0.81 thf(f42,plain,(
% 2.70/0.81 ($true = ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))))))))) & (!! @ ((($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (!! @ (($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]: ((Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))) & (Y4 @ Y5)))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1)))))))))),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f29])).
% 2.70/0.81 thf(f29,plain,(
% 2.70/0.81 ((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))))))))) & (!! @ ((($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (!! @ (($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]: ((Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))) & (Y4 @ Y5)))))))))) => (Y2 @ Y1)))) => (Y0 @ Y1)))))))) & (r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))))) = $true)),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f27])).
% 2.70/0.81 thf(f27,plain,(
% 2.70/0.81 (((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))))))))) & (!! @ ((($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (!! @ (($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]: ((Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))) & (Y4 @ Y5)))))))))) => (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) > $o) @ (^[Y1 : (($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))))) = $false)),
% 2.70/0.81 inference(not_proxy_clausification,[],[f26])).
% 2.70/0.81 thf(f26,plain,(
% 2.70/0.81 ((~ ((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))) @ (^[Y2 : $i > $o]: (?? @ $i @ (^[Y3 : $i]: ((Y0 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3))))))))))) & (!! @ ((($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (!! @ (($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]: ((Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))) & (Y4 @ Y5)))))))))) => (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) > $o) @ (^[Y1 : (($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))))) = $true)),
% 2.70/0.81 inference(beta_eta_normalization,[],[f25])).
% 2.70/0.81 thf(f25,plain,(
% 2.70/0.81 ((~ ((((!! @ (($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4))))))) @ Y1) @ ((^[Y2 : ($i > $o) > $o]: ((^[Y3 : $i > $o]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4))))))) @ Y0))))))) & (!! @ ((($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4))))))) @ Y1)))))) => (!! @ (($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]: ((Y5 @ (^[Y8 : $i]: ((Y6 @ Y8) & (~ (Y7 = Y8))))) & (Y6 @ Y7))))))) @ 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) > $o]: (((^[Y1 : ($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]: ((Y4 @ (^[Y7 : $i]: ((Y5 @ Y7) & (~ (Y6 = Y7))))) & (Y5 @ Y6))))))) @ Y3)))))) => (Y2 @ Y1))))) @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))) = $true)),
% 2.70/0.81 inference(definition_unfolding,[],[f20,f22,f22,f24,f18,f18,f23])).
% 2.70/0.81 thf(f23,plain,(
% 2.70/0.81 (cNAT = (^[Y0 : ($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]: ((Y3 @ (^[Y6 : $i]: ((Y4 @ Y6) & (~ (Y5 = Y6))))) & (Y4 @ Y5))))))) @ Y2)))))) => (Y1 @ Y0))))))),
% 2.70/0.81 inference(definition_unfolding,[],[f19,f18,f22])).
% 2.70/0.81 thf(f19,plain,(
% 2.70/0.81 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.70/0.81 inference(cnf_transformation,[],[f13])).
% 2.70/0.81 thf(f13,plain,(
% 2.70/0.81 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((Y1 @ cZERO) & (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2)))))) => (Y1 @ Y0))))))),
% 2.70/0.81 inference(fool_elimination,[],[f12])).
% 2.70/0.81 thf(f12,plain,(
% 2.70/0.81 ((^[X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : ((! [X2 : ($i > $o) > $o] : ((X1 @ X2) => (X1 @ (cSUCC @ X2))) & (X1 @ cZERO)) => (X1 @ X0)))) = cNAT)),
% 2.70/0.81 inference(rectify,[],[f3])).
% 2.70/0.81 thf(f3,axiom,(
% 2.70/0.81 ((^[X2 : ($i > $o) > $o] : (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => (X0 @ X2)))) = cNAT)),
% 2.70/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNAT_def)).
% 2.70/0.81 thf(f18,plain,(
% 2.70/0.81 (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.70/0.81 inference(cnf_transformation,[],[f15])).
% 2.70/0.81 thf(f15,plain,(
% 2.70/0.81 (cZERO = (^[Y0 : $i > $o]: (~ (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))))),
% 2.70/0.81 inference(fool_elimination,[],[f14])).
% 2.70/0.81 thf(f14,plain,(
% 2.70/0.81 (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
% 2.70/0.81 inference(rectify,[],[f1])).
% 2.70/0.81 thf(f1,axiom,(
% 2.70/0.81 (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
% 2.70/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cZERO_def)).
% 2.70/0.81 thf(f24,plain,(
% 2.70/0.81 (cINDUCTION = (!! @ ((($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4))))))) @ Y1)))))) => (!! @ (($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]: ((Y5 @ (^[Y8 : $i]: ((Y6 @ Y8) & (~ (Y7 = Y8))))) & (Y6 @ Y7))))))) @ Y4)))))) => (Y3 @ Y2))))) @ Y1) => (Y0 @ Y1))))))))),
% 2.70/0.81 inference(definition_unfolding,[],[f21,f18,f22,f23])).
% 2.70/0.81 thf(f21,plain,(
% 2.70/0.81 (cINDUCTION = (!! @ ((($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) > $o]: ((cNAT @ Y1) => (Y0 @ Y1))))))))),
% 2.70/0.81 inference(cnf_transformation,[],[f11])).
% 2.70/0.81 thf(f11,plain,(
% 2.70/0.81 (cINDUCTION = (!! @ ((($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) > $o]: ((cNAT @ Y1) => (Y0 @ Y1))))))))),
% 2.70/0.81 inference(fool_elimination,[],[f10])).
% 2.70/0.81 thf(f10,plain,(
% 2.70/0.81 (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => ! [X2 : ($i > $o) > $o] : ((cNAT @ X2) => (X0 @ X2))) = cINDUCTION)),
% 2.70/0.81 inference(rectify,[],[f4])).
% 2.70/0.81 thf(f4,axiom,(
% 2.70/0.81 (! [X4 : (($i > $o) > $o) > $o] : ((! [X5 : ($i > $o) > $o] : ((X4 @ X5) => (X4 @ (cSUCC @ X5))) & (X4 @ cZERO)) => ! [X6 : ($i > $o) > $o] : ((cNAT @ X6) => (X4 @ X6))) = cINDUCTION)),
% 2.70/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cINDUCTION_def)).
% 2.70/0.81 thf(f22,plain,(
% 2.70/0.81 (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))),
% 2.70/0.81 inference(cnf_transformation,[],[f17])).
% 2.70/0.81 thf(f17,plain,(
% 2.70/0.81 (cSUCC = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))),
% 2.70/0.81 inference(fool_elimination,[],[f16])).
% 2.70/0.81 thf(f16,plain,(
% 2.70/0.81 (cSUCC = (^[X0 : ($i > $o) > $o, X1 : $i > $o] : (? [X2] : ((X1 @ X2) & (X0 @ (^[X3 : $i] : ((X2 != X3) & (X1 @ X3))))))))),
% 2.70/0.81 inference(rectify,[],[f2])).
% 2.70/0.81 thf(f2,axiom,(
% 2.70/0.81 (cSUCC = (^[X2 : ($i > $o) > $o, X0 : $i > $o] : (? [X1] : ((X0 @ X1) & (X2 @ (^[X3 : $i] : ((X1 != X3) & (X0 @ X3))))))))),
% 2.70/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSUCC_def)).
% 2.70/0.81 thf(f20,plain,(
% 2.70/0.81 ($true = (~ ((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (cSUCC @ Y1) @ (cSUCC @ Y0))))))) & cINDUCTION) & (r @ cZERO @ cZERO)) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.70/0.81 inference(cnf_transformation,[],[f9])).
% 2.70/0.81 thf(f9,plain,(
% 2.70/0.81 ($true = (~ ((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((r @ Y1 @ Y0) => (r @ (cSUCC @ Y1) @ (cSUCC @ Y0))))))) & cINDUCTION) & (r @ cZERO @ cZERO)) => (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((cNAT @ Y0) => (?? @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: (r @ Y0 @ Y1)))))))))),
% 2.70/0.81 inference(fool_elimination,[],[f8])).
% 2.70/0.81 thf(f8,plain,(
% 2.70/0.81 ~(((r @ cZERO @ cZERO) & cINDUCTION & ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : ((r @ X0 @ X1) => (r @ (cSUCC @ X0) @ (cSUCC @ X1)))) => ! [X2 : ($i > $o) > $o] : ((cNAT @ X2) => ? [X3 : ($i > $o) > $o] : (r @ X2 @ X3)))),
% 2.70/0.81 inference(rectify,[],[f6])).
% 2.70/0.81 thf(f6,negated_conjecture,(
% 2.70/0.81 ~(((r @ cZERO @ cZERO) & cINDUCTION & ! [X1 : ($i > $o) > $o,X7 : ($i > $o) > $o] : ((r @ X1 @ X7) => (r @ (cSUCC @ X1) @ (cSUCC @ X7)))) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X7 : ($i > $o) > $o] : (r @ X1 @ X7)))),
% 2.70/0.81 inference(negated_conjecture,[],[f5])).
% 2.70/0.81 thf(f5,conjecture,(
% 2.70/0.81 ((r @ cZERO @ cZERO) & cINDUCTION & ! [X1 : ($i > $o) > $o,X7 : ($i > $o) > $o] : ((r @ X1 @ X7) => (r @ (cSUCC @ X1) @ (cSUCC @ X7)))) => ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ? [X7 : ($i > $o) > $o] : (r @ X1 @ X7))),
% 2.70/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM130_NAT)).
% 2.70/0.81 thf(f125,plain,(
% 2.70/0.81 (((r @ sK2 @ sK2) => (r @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))) & (Y0 @ Y1))))) @ (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((sK2 @ (^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 = Y2))))) & (Y0 @ Y1))))))) = $false)),
% 2.70/0.81 inference(beta_eta_normalization,[],[f122])).
% 2.70/0.81 thf(f122,plain,(
% 2.70/0.81 ($false = ((^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))) @ sK2))),
% 2.70/0.81 inference(sigma_clausification,[],[f121])).
% 2.70/0.81 thf(f121,plain,(
% 2.70/0.81 ($false = (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))))),
% 2.70/0.81 inference(not_proxy_clausification,[],[f95])).
% 2.70/0.81 thf(f95,plain,(
% 2.70/0.81 ($true = (~ (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))))))),
% 2.70/0.81 inference(boolean_simplification,[],[f94])).
% 2.70/0.81 thf(f94,plain,(
% 2.70/0.81 (((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))) => $false) = $true)),
% 2.70/0.81 inference(forward_demodulation,[],[f90,f49])).
% 2.70/0.81 thf(f49,plain,(
% 2.70/0.81 ( ! [X1 : ($i > $o) > $o] : (($false = (r @ sK1 @ X1))) )),
% 2.70/0.81 inference(pi_clausification,[],[f39])).
% 2.70/0.81 thf(f39,plain,(
% 2.70/0.81 ((?? @ (($i > $o) > $o) @ (r @ sK1)) = $false)),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f38])).
% 2.70/0.81 thf(f38,plain,(
% 2.70/0.81 (((!! @ ((($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1)))) => (?? @ (($i > $o) > $o) @ (r @ sK1))) = $false)),
% 2.70/0.81 inference(beta_eta_normalization,[],[f32])).
% 2.70/0.81 thf(f32,plain,(
% 2.70/0.81 ($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0)))) @ sK1))),
% 2.70/0.81 inference(sigma_clausification,[],[f28])).
% 2.70/0.81 thf(f28,plain,(
% 2.70/0.81 ($false = (!! @ (($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]: ((Y2 @ (^[Y5 : $i]: ((Y3 @ Y5) & (~ (Y4 = Y5))))) & (Y3 @ Y4)))))))))) => (Y1 @ Y0)))) => (?? @ (($i > $o) > $o) @ (r @ Y0))))))),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f27])).
% 2.70/0.81 thf(f90,plain,(
% 2.70/0.81 ($true = ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))))))) => (r @ sK1 @ sK1)))),
% 2.70/0.81 inference(boolean_simplification,[],[f89])).
% 2.70/0.81 thf(f89,plain,(
% 2.70/0.81 ($true = (($true & (!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((r @ Y0 @ Y0) => (r @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2))))) @ (^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))))) => (r @ sK1 @ sK1)))),
% 2.70/0.81 inference(beta_eta_normalization,[],[f73])).
% 2.70/0.81 thf(f73,plain,(
% 2.70/0.81 ((($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]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))))) => ((^[Y0 : ($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)) = $true)),
% 2.70/0.81 inference(superposition,[],[f65,f41])).
% 2.70/0.81 thf(f41,plain,(
% 2.70/0.81 ((r @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0))) @ (^[Y0 : $i > $o]: (~ (?? @ $i @ Y0)))) = $true)),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f29])).
% 2.70/0.81 thf(f65,plain,(
% 2.70/0.81 ( ! [X1 : (($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]: ((Y0 @ (^[Y3 : $i]: ((Y1 @ Y3) & (~ (Y2 = Y3))))) & (Y1 @ Y2)))))))))) => (X1 @ sK1)))) )),
% 2.70/0.81 inference(beta_eta_normalization,[],[f63])).
% 2.70/0.81 thf(f63,plain,(
% 2.70/0.81 ( ! [X1 : (($i > $o) > $o) > $o] : (($true = ((^[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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1))) @ X1))) )),
% 2.70/0.81 inference(pi_clausification,[],[f40])).
% 2.70/0.81 thf(f40,plain,(
% 2.70/0.81 ($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]: ((Y1 @ (^[Y4 : $i]: ((Y2 @ Y4) & (~ (Y3 = Y4))))) & (Y2 @ Y3)))))))))) => (Y0 @ sK1)))))),
% 2.70/0.81 inference(binary_proxy_clausification,[],[f38])).
% 2.70/0.81 % SZS output end Proof for theBenchmark
% 2.70/0.81 % (24376)------------------------------
% 2.70/0.81 % (24376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.70/0.81 % (24376)Termination reason: Refutation
% 2.70/0.81
% 2.70/0.81 % (24376)Memory used [KB]: 2430
% 2.70/0.81 % (24376)Time elapsed: 0.054 s
% 2.70/0.81 % (24376)Instructions burned: 162 (million)
% 2.70/0.81 % (24376)------------------------------
% 2.70/0.81 % (24376)------------------------------
% 2.70/0.81 % (24325)Success in time 0.441 s
%------------------------------------------------------------------------------