TSTP Solution File: SEV058^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV058^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 16:01:39 EDT 2024
% Result : Theorem 0.23s 0.49s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV058^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 18:57:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 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
% 0.13/0.38 % (3363)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.38 % (3365)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (3366)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (3367)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.38 % (3362)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (3364)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.38 % (3365)Instruction limit reached!
% 0.13/0.38 % (3365)------------------------------
% 0.13/0.38 % (3365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (3365)Termination reason: Unknown
% 0.13/0.38 % (3366)Instruction limit reached!
% 0.13/0.38 % (3366)------------------------------
% 0.13/0.38 % (3366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (3365)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (3365)Memory used [KB]: 5500
% 0.13/0.38 % (3365)Time elapsed: 0.004 s
% 0.13/0.38 % (3365)Instructions burned: 2 (million)
% 0.13/0.38 % (3365)------------------------------
% 0.13/0.38 % (3365)------------------------------
% 0.13/0.38 % (3366)Termination reason: Unknown
% 0.13/0.38 % (3366)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (3366)Memory used [KB]: 5500
% 0.13/0.38 % (3366)Time elapsed: 0.004 s
% 0.13/0.38 % (3366)Instructions burned: 2 (million)
% 0.13/0.38 % (3366)------------------------------
% 0.13/0.38 % (3366)------------------------------
% 0.13/0.38 % (3368)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (3363)Instruction limit reached!
% 0.13/0.39 % (3363)------------------------------
% 0.13/0.39 % (3363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (3363)Termination reason: Unknown
% 0.13/0.39 % (3363)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (3364)Refutation not found, incomplete strategy
% 0.13/0.39 % (3364)------------------------------
% 0.13/0.39 % (3364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (3364)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (3364)Memory used [KB]: 5500
% 0.13/0.39 % (3364)Time elapsed: 0.006 s
% 0.13/0.39 % (3364)Instructions burned: 3 (million)
% 0.13/0.39 % (3364)------------------------------
% 0.13/0.39 % (3364)------------------------------
% 0.13/0.39 % (3363)Memory used [KB]: 5500
% 0.13/0.39 % (3363)Time elapsed: 0.006 s
% 0.13/0.39 % (3363)Instructions burned: 4 (million)
% 0.13/0.39 % (3363)------------------------------
% 0.13/0.39 % (3363)------------------------------
% 0.13/0.40 % (3368)Instruction limit reached!
% 0.13/0.40 % (3368)------------------------------
% 0.13/0.40 % (3368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (3368)Termination reason: Unknown
% 0.13/0.40 % (3368)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (3368)Memory used [KB]: 5628
% 0.13/0.40 % (3368)Time elapsed: 0.014 s
% 0.13/0.40 % (3368)Instructions burned: 19 (million)
% 0.13/0.40 % (3368)------------------------------
% 0.13/0.40 % (3368)------------------------------
% 0.13/0.40 % (3367)Refutation not found, incomplete strategy
% 0.13/0.40 % (3367)------------------------------
% 0.13/0.40 % (3367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.40 % (3367)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40
% 0.23/0.40
% 0.23/0.40 % (3367)Memory used [KB]: 5628
% 0.23/0.40 % (3367)Time elapsed: 0.017 s
% 0.23/0.40 % (3367)Instructions burned: 20 (million)
% 0.23/0.40 % (3367)------------------------------
% 0.23/0.40 % (3367)------------------------------
% 0.23/0.40 % (3369)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)
% 0.23/0.40 % (3370)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)
% 0.23/0.40 % (3371)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)
% 0.23/0.40 % (3369)Instruction limit reached!
% 0.23/0.40 % (3369)------------------------------
% 0.23/0.40 % (3369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.40 % (3369)Termination reason: Unknown
% 0.23/0.40 % (3369)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (3369)Memory used [KB]: 5500
% 0.23/0.40 % (3369)Time elapsed: 0.005 s
% 0.23/0.40 % (3369)Instructions burned: 4 (million)
% 0.23/0.40 % (3369)------------------------------
% 0.23/0.40 % (3369)------------------------------
% 0.23/0.40 % (3372)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)
% 0.23/0.41 % (3372)Instruction limit reached!
% 0.23/0.41 % (3372)------------------------------
% 0.23/0.41 % (3372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.41 % (3372)Termination reason: Unknown
% 0.23/0.41 % (3372)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (3372)Memory used [KB]: 5500
% 0.23/0.41 % (3372)Time elapsed: 0.005 s
% 0.23/0.41 % (3372)Instructions burned: 3 (million)
% 0.23/0.41 % (3372)------------------------------
% 0.23/0.41 % (3372)------------------------------
% 0.23/0.41 % (3373)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)
% 0.23/0.41 % (3371)Instruction limit reached!
% 0.23/0.41 % (3371)------------------------------
% 0.23/0.41 % (3371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.41 % (3371)Termination reason: Unknown
% 0.23/0.41 % (3371)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (3371)Memory used [KB]: 5756
% 0.23/0.41 % (3371)Time elapsed: 0.034 s
% 0.23/0.41 % (3371)Instructions burned: 15 (million)
% 0.23/0.41 % (3371)------------------------------
% 0.23/0.41 % (3371)------------------------------
% 0.23/0.41 % (3374)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.42 % (3375)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42 % (3374)Instruction limit reached!
% 0.23/0.42 % (3374)------------------------------
% 0.23/0.42 % (3374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (3374)Termination reason: Unknown
% 0.23/0.42 % (3374)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (3374)Memory used [KB]: 1023
% 0.23/0.42 % (3374)Time elapsed: 0.008 s
% 0.23/0.42 % (3374)Instructions burned: 8 (million)
% 0.23/0.42 % (3374)------------------------------
% 0.23/0.42 % (3374)------------------------------
% 0.23/0.42 % (3370)Instruction limit reached!
% 0.23/0.42 % (3370)------------------------------
% 0.23/0.42 % (3370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (3370)Termination reason: Unknown
% 0.23/0.42 % (3370)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (3370)Memory used [KB]: 6012
% 0.23/0.42 % (3370)Time elapsed: 0.023 s
% 0.23/0.42 % (3370)Instructions burned: 38 (million)
% 0.23/0.42 % (3370)------------------------------
% 0.23/0.42 % (3370)------------------------------
% 0.23/0.42 % (3376)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)
% 0.23/0.42 % (3376)Instruction limit reached!
% 0.23/0.42 % (3376)------------------------------
% 0.23/0.42 % (3376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (3376)Termination reason: Unknown
% 0.23/0.42 % (3376)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (3376)Memory used [KB]: 1023
% 0.23/0.42 % (3376)Time elapsed: 0.004 s
% 0.23/0.42 % (3376)Instructions burned: 3 (million)
% 0.23/0.42 % (3376)------------------------------
% 0.23/0.42 % (3376)------------------------------
% 0.23/0.43 % (3377)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)
% 0.23/0.43 % (3375)Instruction limit reached!
% 0.23/0.43 % (3375)------------------------------
% 0.23/0.43 % (3375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (3375)Termination reason: Unknown
% 0.23/0.43 % (3375)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (3375)Memory used [KB]: 5628
% 0.23/0.43 % (3375)Time elapsed: 0.013 s
% 0.23/0.43 % (3375)Instructions burned: 16 (million)
% 0.23/0.43 % (3375)------------------------------
% 0.23/0.43 % (3375)------------------------------
% 0.23/0.43 % (3377)Instruction limit reached!
% 0.23/0.43 % (3377)------------------------------
% 0.23/0.43 % (3377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (3377)Termination reason: Unknown
% 0.23/0.43 % (3377)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (3377)Memory used [KB]: 1023
% 0.23/0.43 % (3377)Time elapsed: 0.004 s
% 0.23/0.43 % (3377)Instructions burned: 3 (million)
% 0.23/0.43 % (3377)------------------------------
% 0.23/0.43 % (3377)------------------------------
% 0.23/0.44 % (3378)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)
% 0.23/0.44 % (3379)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)
% 0.23/0.44 % (3380)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.44 % (3379)Instruction limit reached!
% 0.23/0.44 % (3379)------------------------------
% 0.23/0.44 % (3379)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (3379)Termination reason: Unknown
% 0.23/0.44 % (3379)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (3379)Memory used [KB]: 5500
% 0.23/0.44 % (3379)Time elapsed: 0.005 s
% 0.23/0.44 % (3379)Instructions burned: 4 (million)
% 0.23/0.44 % (3379)------------------------------
% 0.23/0.44 % (3379)------------------------------
% 0.23/0.44 % (3378)Instruction limit reached!
% 0.23/0.44 % (3378)------------------------------
% 0.23/0.44 % (3378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (3378)Termination reason: Unknown
% 0.23/0.44 % (3378)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (3378)Memory used [KB]: 5500
% 0.23/0.44 % (3378)Time elapsed: 0.007 s
% 0.23/0.44 % (3378)Instructions burned: 7 (million)
% 0.23/0.44 % (3378)------------------------------
% 0.23/0.44 % (3378)------------------------------
% 0.23/0.44 % (3380)Instruction limit reached!
% 0.23/0.44 % (3380)------------------------------
% 0.23/0.44 % (3380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (3380)Termination reason: Unknown
% 0.23/0.44 % (3380)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (3380)Memory used [KB]: 5500
% 0.23/0.44 % (3380)Time elapsed: 0.006 s
% 0.23/0.44 % (3380)Instructions burned: 5 (million)
% 0.23/0.44 % (3380)------------------------------
% 0.23/0.44 % (3380)------------------------------
% 0.23/0.45 % (3381)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)
% 0.23/0.45 % (3382)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.45 % (3381)Refutation not found, incomplete strategy
% 0.23/0.45 % (3381)------------------------------
% 0.23/0.45 % (3381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (3381)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (3381)Memory used [KB]: 5500
% 0.23/0.45 % (3381)Time elapsed: 0.005 s
% 0.23/0.45 % (3381)Instructions burned: 2 (million)
% 0.23/0.45 % (3381)------------------------------
% 0.23/0.45 % (3381)------------------------------
% 0.23/0.45 % (3383)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46 % (3383)Instruction limit reached!
% 0.23/0.46 % (3383)------------------------------
% 0.23/0.46 % (3383)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.46 % (3383)Termination reason: Unknown
% 0.23/0.46 % (3383)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (3383)Memory used [KB]: 5500
% 0.23/0.46 % (3383)Time elapsed: 0.005 s
% 0.23/0.46 % (3383)Instructions burned: 8 (million)
% 0.23/0.46 % (3383)------------------------------
% 0.23/0.46 % (3383)------------------------------
% 0.23/0.46 % (3384)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)
% 0.23/0.46 % (3385)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)
% 0.23/0.46 % (3386)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.47 % (3387)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)
% 0.23/0.47 % (3387)Instruction limit reached!
% 0.23/0.47 % (3387)------------------------------
% 0.23/0.47 % (3387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (3387)Termination reason: Unknown
% 0.23/0.47 % (3387)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (3387)Memory used [KB]: 5500
% 0.23/0.47 % (3387)Time elapsed: 0.004 s
% 0.23/0.47 % (3387)Instructions burned: 6 (million)
% 0.23/0.47 % (3387)------------------------------
% 0.23/0.47 % (3387)------------------------------
% 0.23/0.47 % (3386)Instruction limit reached!
% 0.23/0.47 % (3386)------------------------------
% 0.23/0.47 % (3386)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (3386)Termination reason: Unknown
% 0.23/0.47 % (3386)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (3386)Memory used [KB]: 5500
% 0.23/0.47 % (3386)Time elapsed: 0.006 s
% 0.23/0.47 % (3386)Instructions burned: 6 (million)
% 0.23/0.47 % (3386)------------------------------
% 0.23/0.47 % (3386)------------------------------
% 0.23/0.47 % (3385)Instruction limit reached!
% 0.23/0.47 % (3385)------------------------------
% 0.23/0.47 % (3385)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (3385)Termination reason: Unknown
% 0.23/0.47 % (3385)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (3385)Memory used [KB]: 5628
% 0.23/0.47 % (3385)Time elapsed: 0.015 s
% 0.23/0.47 % (3385)Instructions burned: 21 (million)
% 0.23/0.47 % (3385)------------------------------
% 0.23/0.47 % (3385)------------------------------
% 0.23/0.47 % (3362)Instruction limit reached!
% 0.23/0.47 % (3362)------------------------------
% 0.23/0.47 % (3362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (3362)Termination reason: Unknown
% 0.23/0.47 % (3362)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (3362)Memory used [KB]: 7547
% 0.23/0.47 % (3362)Time elapsed: 0.093 s
% 0.23/0.47 % (3362)Instructions burned: 185 (million)
% 0.23/0.47 % (3362)------------------------------
% 0.23/0.47 % (3362)------------------------------
% 0.23/0.48 % (3388)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.48 % (3373)First to succeed.
% 0.23/0.48 % (3391)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)
% 0.23/0.48 % (3389)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)
% 0.23/0.48 % (3390)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)
% 0.23/0.49 % (3373)Refutation found. Thanks to Tanya!
% 0.23/0.49 % SZS status Theorem for theBenchmark
% 0.23/0.49 % SZS output start Proof for theBenchmark
% 0.23/0.49 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.23/0.49 thf(func_def_15, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_16, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_17, type, sK4: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_18, type, sK5: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_19, type, sK6: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_20, type, sK7: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.23/0.49 thf(func_def_24, type, sK10: $i > $o).
% 0.23/0.49 thf(func_def_25, type, sK11: $i > $o).
% 0.23/0.49 thf(func_def_28, type, sK14: $i > $o).
% 0.23/0.49 thf(func_def_30, type, sK16: (($i > $o) > ($i > $o) > $o) > $i).
% 0.23/0.49 thf(func_def_33, type, sK19: $i > $o).
% 0.23/0.49 thf(f526,plain,(
% 0.23/0.49 $false),
% 0.23/0.49 inference(avatar_sat_refutation,[],[f74,f92,f231,f242,f246,f251,f491,f525])).
% 0.23/0.49 thf(f525,plain,(
% 0.23/0.49 spl0_6 | spl0_4 | ~spl0_5 | ~spl0_34),
% 0.23/0.49 inference(avatar_split_clause,[],[f524,f489,f69,f66,f72])).
% 0.23/0.49 thf(f72,plain,(
% 0.23/0.49 spl0_6 <=> ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true))))),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.23/0.49 thf(f66,plain,(
% 0.23/0.49 spl0_4 <=> ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.23/0.49 thf(f69,plain,(
% 0.23/0.49 spl0_5 <=> (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.23/0.49 thf(f489,plain,(
% 0.23/0.49 spl0_34 <=> (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
% 0.23/0.49 thf(f524,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (~spl0_5 | ~spl0_34)),
% 0.23/0.49 inference(trivial_inequality_removal,[],[f523])).
% 0.23/0.49 thf(f523,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = $false) | (~spl0_5 | ~spl0_34)),
% 0.23/0.49 inference(forward_demodulation,[],[f502,f70])).
% 0.23/0.49 thf(f70,plain,(
% 0.23/0.49 (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_5),
% 0.23/0.49 inference(avatar_component_clause,[],[f69])).
% 0.23/0.49 thf(f502,plain,(
% 0.23/0.49 (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl0_34),
% 0.23/0.49 inference(boolean_simplification,[],[f501])).
% 0.23/0.49 thf(f501,plain,(
% 0.23/0.49 ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & $true)) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_34),
% 0.23/0.49 inference(boolean_simplification,[],[f500])).
% 0.23/0.49 thf(f500,plain,(
% 0.23/0.49 ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_34),
% 0.23/0.49 inference(boolean_simplification,[],[f499])).
% 0.23/0.49 thf(f499,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0)))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl0_34),
% 0.23/0.49 inference(beta_eta_normalization,[],[f498])).
% 0.23/0.49 thf(f498,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0)))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ~spl0_34),
% 0.23/0.49 inference(superposition,[],[f218,f492])).
% 0.23/0.49 thf(f492,plain,(
% 0.23/0.49 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl0_34),
% 0.23/0.49 inference(equality_proxy_clausification,[],[f490])).
% 0.23/0.49 thf(f490,plain,(
% 0.23/0.49 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_34),
% 0.23/0.49 inference(avatar_component_clause,[],[f489])).
% 0.23/0.49 thf(f218,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1)))) | ($true = (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f214])).
% 0.23/0.49 thf(f214,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((X1 @ (sK5 @ X1) @ (sK6 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ X1 @ Y0) => (sK6 @ X1 @ Y0)))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f213])).
% 0.23/0.49 thf(f213,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1)))) | ($false = ((^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))) @ (sK6 @ X1)))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f209])).
% 0.23/0.49 thf(f209,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))))) | ($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f206])).
% 0.23/0.49 thf(f206,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))) @ (sK5 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f25])).
% 0.23/0.49 thf(f25,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($true = ((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f23])).
% 0.23/0.49 thf(f23,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (((X1 @ (sK3 @ X1) @ (sK4 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ (sK2 @ X1) @ (sK4 @ X1)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f22])).
% 0.23/0.49 thf(f22,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((^[Y0 : $i > $o]: (((X1 @ (sK3 @ X1) @ Y0) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ (sK2 @ X1) @ Y0))) @ (sK4 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f21])).
% 0.23/0.49 thf(f21,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((X1 @ (sK3 @ X1) @ Y0) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ (sK2 @ X1) @ Y0))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f20])).
% 0.23/0.49 thf(f20,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((X1 @ Y0 @ Y1) & (X1 @ (sK2 @ X1) @ Y0)) => (X1 @ (sK2 @ X1) @ Y1))))) @ (sK3 @ X1)))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f18])).
% 0.23/0.49 thf(f18,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((X1 @ Y0 @ Y1) & (X1 @ (sK2 @ X1) @ Y0)) => (X1 @ (sK2 @ X1) @ Y1))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f16])).
% 0.23/0.49 thf(f16,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y1 @ Y2) & (X1 @ Y0 @ Y1)) => (X1 @ Y0 @ Y2))))))) @ (sK2 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f13])).
% 0.23/0.49 thf(f13,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y1 @ Y2) & (X1 @ Y0 @ Y1)) => (X1 @ Y0 @ Y2))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f12])).
% 0.23/0.49 thf(f12,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : ((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) = $false) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y1 @ Y2) & (X1 @ Y0 @ Y1)) => (X1 @ Y0 @ Y2)))))))))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f11])).
% 0.23/0.49 thf(f11,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y1 @ Y2) & (X1 @ Y0 @ Y1)) => (X1 @ Y0 @ Y2))))))))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f10])).
% 0.23/0.49 thf(f10,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))))) @ X1))) )),
% 0.23/0.49 inference(pi_clausification,[],[f7])).
% 0.23/0.49 thf(f7,plain,(
% 0.23/0.49 ($false = (?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))))),
% 0.23/0.49 inference(not_proxy_clausification,[],[f6])).
% 0.23/0.49 thf(f6,plain,(
% 0.23/0.49 ($true = (~ (?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))))))))),
% 0.23/0.49 inference(cnf_transformation,[],[f5])).
% 0.23/0.49 thf(f5,plain,(
% 0.23/0.49 ($true = (~ (?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3)))))))))))))),
% 0.23/0.49 inference(fool_elimination,[],[f4])).
% 0.23/0.49 thf(f4,plain,(
% 0.23/0.49 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X1)) => (X0 @ X3 @ X1)) & ! [X4 : $i > $o,X5 : $i > $o] : ((X0 @ X5 @ X4) => ! [X6] : ((X5 @ X6) => (X4 @ X6))) & ! [X7 : $i > $o] : (X0 @ X7 @ X7))),
% 0.23/0.49 inference(rectify,[],[f2])).
% 0.23/0.49 thf(f2,negated_conjecture,(
% 0.23/0.49 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : (((X0 @ X4 @ X5) & (X0 @ X5 @ X3)) => (X0 @ X4 @ X3)) & ! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) => ! [X3] : ((X1 @ X3) => (X2 @ X3))) & ! [X4 : $i > $o] : (X0 @ X4 @ X4))),
% 0.23/0.49 inference(negated_conjecture,[],[f1])).
% 0.23/0.49 thf(f1,conjecture,(
% 0.23/0.49 ? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : (((X0 @ X4 @ X5) & (X0 @ X5 @ X3)) => (X0 @ X4 @ X3)) & ! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) => ! [X3] : ((X1 @ X3) => (X2 @ X3))) & ! [X4 : $i > $o] : (X0 @ X4 @ X4))),
% 0.23/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM122_pme)).
% 0.23/0.49 thf(f491,plain,(
% 0.23/0.49 spl0_6 | spl0_4 | spl0_34),
% 0.23/0.49 inference(avatar_split_clause,[],[f478,f489,f66,f72])).
% 0.23/0.49 thf(f478,plain,(
% 0.23/0.49 ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.23/0.49 inference(boolean_simplification,[],[f477])).
% 0.23/0.49 thf(f477,plain,(
% 0.23/0.49 ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0)))) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.23/0.49 inference(beta_eta_normalization,[],[f465])).
% 0.23/0.49 thf(f465,plain,(
% 0.23/0.49 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))))),
% 0.23/0.49 inference(primitive_instantiation,[],[f332])).
% 0.23/0.49 thf(f332,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($true = (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ((X1 @ (sK2 @ X1) @ (sK3 @ X1)) = $true)) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f218])).
% 0.23/0.49 thf(f251,plain,(
% 0.23/0.49 ~spl0_7),
% 0.23/0.49 inference(avatar_contradiction_clause,[],[f250])).
% 0.23/0.49 thf(f250,plain,(
% 0.23/0.49 $false | ~spl0_7),
% 0.23/0.49 inference(trivial_inequality_removal,[],[f249])).
% 0.23/0.49 thf(f249,plain,(
% 0.23/0.49 ($true = $false) | ~spl0_7),
% 0.23/0.49 inference(beta_eta_normalization,[],[f248])).
% 0.23/0.49 thf(f248,plain,(
% 0.23/0.49 ($false = ((^[Y0 : $i]: ($true)) @ sK15)) | ~spl0_7),
% 0.23/0.49 inference(sigma_clausification,[],[f91])).
% 0.23/0.49 thf(f91,plain,(
% 0.23/0.49 ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ~spl0_7),
% 0.23/0.49 inference(avatar_component_clause,[],[f90])).
% 0.23/0.49 thf(f90,plain,(
% 0.23/0.49 spl0_7 <=> ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.23/0.49 thf(f246,plain,(
% 0.23/0.49 ~spl0_6),
% 0.23/0.49 inference(avatar_contradiction_clause,[],[f245])).
% 0.23/0.49 thf(f245,plain,(
% 0.23/0.49 $false | ~spl0_6),
% 0.23/0.49 inference(trivial_inequality_removal,[],[f244])).
% 0.23/0.49 thf(f244,plain,(
% 0.23/0.49 ($true = $false) | ~spl0_6),
% 0.23/0.49 inference(beta_eta_normalization,[],[f243])).
% 0.23/0.49 thf(f243,plain,(
% 0.23/0.49 ($false = ((^[Y0 : $i > $o]: ($true)) @ sK14)) | ~spl0_6),
% 0.23/0.49 inference(sigma_clausification,[],[f73])).
% 0.23/0.49 thf(f73,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_6),
% 0.23/0.49 inference(avatar_component_clause,[],[f72])).
% 0.23/0.49 thf(f242,plain,(
% 0.23/0.49 ~spl0_5 | ~spl0_22),
% 0.23/0.49 inference(avatar_contradiction_clause,[],[f241])).
% 0.23/0.49 thf(f241,plain,(
% 0.23/0.49 $false | (~spl0_5 | ~spl0_22)),
% 0.23/0.49 inference(trivial_inequality_removal,[],[f240])).
% 0.23/0.49 thf(f240,plain,(
% 0.23/0.49 ($true = $false) | (~spl0_5 | ~spl0_22)),
% 0.23/0.49 inference(backward_demodulation,[],[f232,f238])).
% 0.23/0.49 thf(f238,plain,(
% 0.23/0.49 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | (~spl0_5 | ~spl0_22)),
% 0.23/0.49 inference(backward_demodulation,[],[f70,f236])).
% 0.23/0.49 thf(f236,plain,(
% 0.23/0.49 ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl0_22),
% 0.23/0.49 inference(equality_proxy_clausification,[],[f235])).
% 0.23/0.49 thf(f235,plain,(
% 0.23/0.49 (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_22),
% 0.23/0.49 inference(boolean_simplification,[],[f234])).
% 0.23/0.49 thf(f234,plain,(
% 0.23/0.49 ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & $true)) | ~spl0_22),
% 0.23/0.49 inference(backward_demodulation,[],[f230,f232])).
% 0.23/0.49 thf(f230,plain,(
% 0.23/0.49 ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_22),
% 0.23/0.49 inference(avatar_component_clause,[],[f229])).
% 0.23/0.49 thf(f229,plain,(
% 0.23/0.49 spl0_22 <=> ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))))),
% 0.23/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.23/0.49 thf(f232,plain,(
% 0.23/0.49 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_22),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f230])).
% 0.23/0.49 thf(f231,plain,(
% 0.23/0.49 spl0_6 | spl0_7 | spl0_22 | ~spl0_4),
% 0.23/0.49 inference(avatar_split_clause,[],[f227,f66,f229,f90,f72])).
% 0.23/0.49 thf(f227,plain,(
% 0.23/0.49 ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f226])).
% 0.23/0.49 thf(f226,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = ($true => (!! @ $i @ (^[Y0 : $i]: ($true))))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f225])).
% 0.23/0.49 thf(f225,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ($true))))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f224])).
% 0.23/0.49 thf(f224,plain,(
% 0.23/0.49 ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f223])).
% 0.23/0.49 thf(f223,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0)))) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ($true = (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_4),
% 0.23/0.49 inference(beta_eta_normalization,[],[f219])).
% 0.23/0.49 thf(f219,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0)))) | ($false = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ($true = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))) | ~spl0_4),
% 0.23/0.49 inference(superposition,[],[f214,f75])).
% 0.23/0.49 thf(f75,plain,(
% 0.23/0.49 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl0_4),
% 0.23/0.49 inference(equality_proxy_clausification,[],[f67])).
% 0.23/0.49 thf(f67,plain,(
% 0.23/0.49 ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl0_4),
% 0.23/0.49 inference(avatar_component_clause,[],[f66])).
% 0.23/0.49 thf(f92,plain,(
% 0.23/0.49 spl0_6 | spl0_5 | spl0_7 | ~spl0_4),
% 0.23/0.49 inference(avatar_split_clause,[],[f85,f66,f90,f69,f72])).
% 0.23/0.49 thf(f85,plain,(
% 0.23/0.49 ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f84])).
% 0.23/0.49 thf(f84,plain,(
% 0.23/0.49 ($false = ($true => (!! @ $i @ (^[Y0 : $i]: ($true))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f83])).
% 0.23/0.49 thf(f83,plain,(
% 0.23/0.49 ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ($true))))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f82])).
% 0.23/0.49 thf(f82,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_4),
% 0.23/0.49 inference(boolean_simplification,[],[f81])).
% 0.23/0.49 thf(f81,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0)))) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_4),
% 0.23/0.49 inference(beta_eta_normalization,[],[f79])).
% 0.23/0.49 thf(f79,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0)))) | ($false = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($false = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ~spl0_4),
% 0.23/0.49 inference(superposition,[],[f34,f75])).
% 0.23/0.49 thf(f34,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((X1 @ (sK5 @ X1) @ (sK6 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ X1 @ Y0) => (sK6 @ X1 @ Y0)))))) | ($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f33])).
% 0.23/0.49 thf(f33,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = ((^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))) @ (sK6 @ X1))) | ($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1)))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f31])).
% 0.23/0.49 thf(f31,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))))) | ($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(beta_eta_normalization,[],[f26])).
% 0.23/0.49 thf(f26,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))) @ (sK5 @ X1)))) )),
% 0.23/0.49 inference(sigma_clausification,[],[f24])).
% 0.23/0.49 thf(f24,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) | ($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f23])).
% 0.23/0.49 thf(f74,plain,(
% 0.23/0.49 spl0_4 | spl0_5 | spl0_6),
% 0.23/0.49 inference(avatar_split_clause,[],[f46,f72,f69,f66])).
% 0.23/0.49 thf(f46,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)),
% 0.23/0.49 inference(boolean_simplification,[],[f45])).
% 0.23/0.49 thf(f45,plain,(
% 0.23/0.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0)))) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ($true = ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
% 0.23/0.49 inference(beta_eta_normalization,[],[f38])).
% 0.23/0.49 thf(f38,plain,(
% 0.23/0.49 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))))),
% 0.23/0.49 inference(primitive_instantiation,[],[f36])).
% 0.23/0.49 thf(f36,plain,(
% 0.23/0.49 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($true = (X1 @ (sK5 @ X1) @ (sK6 @ X1))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0)))) | ($false = (X1 @ (sK2 @ X1) @ (sK4 @ X1)))) )),
% 0.23/0.49 inference(binary_proxy_clausification,[],[f34])).
% 0.23/0.49 % SZS output end Proof for theBenchmark
% 0.23/0.49 % (3373)------------------------------
% 0.23/0.49 % (3373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49 % (3373)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (3373)Memory used [KB]: 6012
% 0.23/0.49 % (3373)Time elapsed: 0.075 s
% 0.23/0.49 % (3373)Instructions burned: 107 (million)
% 0.23/0.49 % (3373)------------------------------
% 0.23/0.49 % (3373)------------------------------
% 0.23/0.49 % (3361)Success in time 0.118 s
%------------------------------------------------------------------------------