TSTP Solution File: SEV245^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 16:02:26 EDT 2024
% Result : Theorem 2.97s 0.78s
% Output : Refutation 2.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.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 19:00:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.37 % (2855)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (2858)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)
% 0.21/0.37 % (2857)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.37 % (2859)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (2860)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (2861)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.37 % (2862)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (2859)Instruction limit reached!
% 0.21/0.37 % (2859)------------------------------
% 0.21/0.37 % (2859)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37 % (2859)Termination reason: Unknown
% 0.21/0.37 % (2859)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (2859)Memory used [KB]: 5500
% 0.21/0.37 % (2859)Time elapsed: 0.004 s
% 0.21/0.37 % (2859)Instructions burned: 2 (million)
% 0.21/0.37 % (2859)------------------------------
% 0.21/0.37 % (2859)------------------------------
% 0.21/0.37 % (2860)Instruction limit reached!
% 0.21/0.37 % (2860)------------------------------
% 0.21/0.37 % (2860)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37 % (2860)Termination reason: Unknown
% 0.21/0.37 % (2860)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (2860)Memory used [KB]: 5500
% 0.21/0.37 % (2860)Time elapsed: 0.004 s
% 0.21/0.37 % (2860)Instructions burned: 2 (million)
% 0.21/0.37 % (2860)------------------------------
% 0.21/0.37 % (2860)------------------------------
% 0.21/0.37 % (2857)Instruction limit reached!
% 0.21/0.37 % (2857)------------------------------
% 0.21/0.37 % (2857)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37 % (2857)Termination reason: Unknown
% 0.21/0.37 % (2857)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (2857)Memory used [KB]: 5500
% 0.21/0.37 % (2857)Time elapsed: 0.006 s
% 0.21/0.37 % (2857)Instructions burned: 4 (million)
% 0.21/0.37 % (2857)------------------------------
% 0.21/0.37 % (2857)------------------------------
% 0.21/0.38 % (2862)Instruction limit reached!
% 0.21/0.38 % (2862)------------------------------
% 0.21/0.38 % (2862)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (2862)Termination reason: Unknown
% 0.21/0.38 % (2862)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2862)Memory used [KB]: 5628
% 0.21/0.38 % (2862)Time elapsed: 0.014 s
% 0.21/0.38 % (2862)Instructions burned: 18 (million)
% 0.21/0.38 % (2862)------------------------------
% 0.21/0.38 % (2862)------------------------------
% 0.21/0.39 % (2868)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)
% 0.21/0.39 % (2869)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.39 % (2858)Instruction limit reached!
% 0.21/0.39 % (2858)------------------------------
% 0.21/0.39 % (2858)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2858)Termination reason: Unknown
% 0.21/0.39 % (2858)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2858)Memory used [KB]: 5628
% 0.21/0.39 % (2858)Time elapsed: 0.021 s
% 0.21/0.39 % (2858)Instructions burned: 27 (million)
% 0.21/0.39 % (2858)------------------------------
% 0.21/0.39 % (2858)------------------------------
% 0.21/0.39 % (2870)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.39 % (2868)Instruction limit reached!
% 0.21/0.39 % (2868)------------------------------
% 0.21/0.39 % (2868)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2868)Termination reason: Unknown
% 0.21/0.39 % (2868)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2868)Memory used [KB]: 5500
% 0.21/0.39 % (2868)Time elapsed: 0.005 s
% 0.21/0.39 % (2868)Instructions burned: 3 (million)
% 0.21/0.39 % (2868)------------------------------
% 0.21/0.39 % (2868)------------------------------
% 0.21/0.40 % (2875)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (2870)Instruction limit reached!
% 0.21/0.40 % (2870)------------------------------
% 0.21/0.40 % (2870)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2870)Termination reason: Unknown
% 0.21/0.40 % (2870)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2870)Memory used [KB]: 5628
% 0.21/0.40 % (2870)Time elapsed: 0.013 s
% 0.21/0.40 % (2870)Instructions burned: 15 (million)
% 0.21/0.40 % (2870)------------------------------
% 0.21/0.40 % (2870)------------------------------
% 0.21/0.40 % (2875)Instruction limit reached!
% 0.21/0.40 % (2875)------------------------------
% 0.21/0.40 % (2875)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2875)Termination reason: Unknown
% 0.21/0.40 % (2875)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2875)Memory used [KB]: 5500
% 0.21/0.40 % (2875)Time elapsed: 0.005 s
% 0.21/0.40 % (2875)Instructions burned: 3 (million)
% 0.21/0.40 % (2875)------------------------------
% 0.21/0.40 % (2875)------------------------------
% 0.21/0.41 % (2878)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.41 % (2880)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (2869)Instruction limit reached!
% 0.21/0.41 % (2869)------------------------------
% 0.21/0.41 % (2869)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (2869)Termination reason: Unknown
% 0.21/0.41 % (2869)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2869)Memory used [KB]: 6140
% 0.21/0.41 % (2869)Time elapsed: 0.023 s
% 0.21/0.41 % (2869)Instructions burned: 38 (million)
% 0.21/0.41 % (2869)------------------------------
% 0.21/0.41 % (2869)------------------------------
% 0.21/0.41 % (2880)Instruction limit reached!
% 0.21/0.41 % (2880)------------------------------
% 0.21/0.41 % (2880)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (2880)Termination reason: Unknown
% 0.21/0.41 % (2880)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2880)Memory used [KB]: 1023
% 0.21/0.41 % (2880)Time elapsed: 0.008 s
% 0.21/0.41 % (2880)Instructions burned: 8 (million)
% 0.21/0.41 % (2880)------------------------------
% 0.21/0.41 % (2880)------------------------------
% 0.21/0.42 % (2886)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 % (2887)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 % (2887)Instruction limit reached!
% 0.21/0.42 % (2887)------------------------------
% 0.21/0.42 % (2887)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (2887)Termination reason: Unknown
% 0.21/0.42 % (2887)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (2887)Memory used [KB]: 1023
% 0.21/0.42 % (2887)Time elapsed: 0.004 s
% 0.21/0.42 % (2887)Instructions burned: 3 (million)
% 0.21/0.42 % (2887)------------------------------
% 0.21/0.42 % (2887)------------------------------
% 0.21/0.43 % (2891)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 % (2891)Instruction limit reached!
% 0.21/0.43 % (2891)------------------------------
% 0.21/0.43 % (2891)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (2891)Termination reason: Unknown
% 0.21/0.43 % (2891)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (2891)Memory used [KB]: 1023
% 0.21/0.43 % (2891)Time elapsed: 0.004 s
% 0.21/0.43 % (2891)Instructions burned: 3 (million)
% 0.21/0.43 % (2891)------------------------------
% 0.21/0.43 % (2891)------------------------------
% 0.21/0.43 % (2893)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 % (2886)Instruction limit reached!
% 0.21/0.43 % (2886)------------------------------
% 0.21/0.43 % (2886)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (2886)Termination reason: Unknown
% 0.21/0.43 % (2886)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (2886)Memory used [KB]: 5756
% 0.21/0.43 % (2886)Time elapsed: 0.015 s
% 0.21/0.43 % (2886)Instructions burned: 17 (million)
% 0.21/0.43 % (2886)------------------------------
% 0.21/0.43 % (2886)------------------------------
% 0.21/0.43 % (2893)Refutation not found, incomplete strategy
% 0.21/0.43 % (2893)------------------------------
% 0.21/0.43 % (2893)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (2893)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (2893)Memory used [KB]: 5500
% 0.21/0.43 % (2893)Time elapsed: 0.005 s
% 0.21/0.43 % (2893)Instructions burned: 3 (million)
% 0.21/0.43 % (2893)------------------------------
% 0.21/0.43 % (2893)------------------------------
% 0.21/0.44 % (2895)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 % (2895)Instruction limit reached!
% 0.21/0.44 % (2895)------------------------------
% 0.21/0.44 % (2895)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (2895)Termination reason: Unknown
% 0.21/0.44 % (2895)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (2895)Memory used [KB]: 5500
% 0.21/0.44 % (2895)Time elapsed: 0.005 s
% 0.21/0.44 % (2895)Instructions burned: 4 (million)
% 0.21/0.44 % (2895)------------------------------
% 0.21/0.44 % (2895)------------------------------
% 0.21/0.44 % (2898)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 % (2901)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 % (2898)Instruction limit reached!
% 0.21/0.45 % (2898)------------------------------
% 0.21/0.45 % (2898)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (2898)Termination reason: Unknown
% 0.21/0.45 % (2898)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (2898)Memory used [KB]: 5500
% 0.21/0.45 % (2898)Time elapsed: 0.006 s
% 0.21/0.45 % (2898)Instructions burned: 5 (million)
% 0.21/0.45 % (2898)------------------------------
% 0.21/0.45 % (2898)------------------------------
% 0.21/0.45 % (2903)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (2908)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (2901)Instruction limit reached!
% 0.21/0.46 % (2901)------------------------------
% 0.21/0.46 % (2901)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (2901)Termination reason: Unknown
% 0.21/0.46 % (2901)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (2901)Memory used [KB]: 5628
% 0.21/0.46 % (2901)Time elapsed: 0.015 s
% 0.21/0.46 % (2901)Instructions burned: 18 (million)
% 0.21/0.46 % (2901)------------------------------
% 0.21/0.46 % (2901)------------------------------
% 0.21/0.46 % (2908)Instruction limit reached!
% 0.21/0.46 % (2908)------------------------------
% 0.21/0.46 % (2908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (2908)Termination reason: Unknown
% 0.21/0.46 % (2908)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (2908)Memory used [KB]: 5500
% 0.21/0.46 % (2908)Time elapsed: 0.007 s
% 0.21/0.46 % (2908)Instructions burned: 6 (million)
% 0.21/0.46 % (2908)------------------------------
% 0.21/0.46 % (2908)------------------------------
% 0.21/0.46 % (2917)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 % (2924)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 % (2925)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 % (2925)Instruction limit reached!
% 0.21/0.48 % (2925)------------------------------
% 0.21/0.48 % (2925)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (2925)Termination reason: Unknown
% 0.21/0.48 % (2925)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (2925)Memory used [KB]: 5500
% 0.21/0.48 % (2925)Time elapsed: 0.005 s
% 0.21/0.48 % (2925)Instructions burned: 5 (million)
% 0.21/0.48 % (2925)------------------------------
% 0.21/0.48 % (2925)------------------------------
% 0.21/0.48 % (2855)Instruction limit reached!
% 0.21/0.48 % (2855)------------------------------
% 0.21/0.48 % (2855)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (2855)Termination reason: Unknown
% 0.21/0.48 % (2855)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (2855)Memory used [KB]: 6908
% 0.21/0.48 % (2855)Time elapsed: 0.116 s
% 0.21/0.48 % (2855)Instructions burned: 184 (million)
% 0.21/0.48 % (2855)------------------------------
% 0.21/0.48 % (2855)------------------------------
% 0.21/0.49 % (2924)Instruction limit reached!
% 0.21/0.49 % (2924)------------------------------
% 0.21/0.49 % (2924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (2924)Termination reason: Unknown
% 0.21/0.49 % (2924)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (2924)Memory used [KB]: 5628
% 0.21/0.49 % (2924)Time elapsed: 0.017 s
% 0.21/0.49 % (2924)Instructions burned: 21 (million)
% 0.21/0.49 % (2924)------------------------------
% 0.21/0.49 % (2924)------------------------------
% 0.21/0.50 % (2942)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 (2998ds/6Mi)
% 0.21/0.50 % (2942)Instruction limit reached!
% 0.21/0.50 % (2942)------------------------------
% 0.21/0.50 % (2942)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (2942)Termination reason: Unknown
% 0.21/0.50 % (2942)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2942)Memory used [KB]: 5500
% 0.21/0.50 % (2942)Time elapsed: 0.006 s
% 0.21/0.50 % (2942)Instructions burned: 7 (million)
% 0.21/0.50 % (2942)------------------------------
% 0.21/0.50 % (2942)------------------------------
% 0.21/0.50 % (2946)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (2949)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)
% 0.21/0.51 % (2955)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)
% 0.21/0.52 % (2955)Instruction limit reached!
% 0.21/0.52 % (2955)------------------------------
% 0.21/0.52 % (2955)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (2955)Termination reason: Unknown
% 0.21/0.52 % (2955)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2955)Memory used [KB]: 5628
% 0.21/0.52 % (2955)Time elapsed: 0.009 s
% 0.21/0.52 % (2955)Instructions burned: 21 (million)
% 0.21/0.52 % (2955)------------------------------
% 0.21/0.52 % (2955)------------------------------
% 0.21/0.52 % (2861)Instruction limit reached!
% 0.21/0.52 % (2861)------------------------------
% 0.21/0.52 % (2861)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (2861)Termination reason: Unknown
% 0.21/0.52 % (2861)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2861)Memory used [KB]: 6140
% 0.21/0.52 % (2861)Time elapsed: 0.150 s
% 0.21/0.52 % (2861)Instructions burned: 275 (million)
% 0.21/0.52 % (2861)------------------------------
% 0.21/0.52 % (2861)------------------------------
% 0.21/0.53 % (2970)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)
% 1.40/0.54 % (2971)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.40/0.55 % (2971)Instruction limit reached!
% 1.40/0.55 % (2971)------------------------------
% 1.40/0.55 % (2971)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.40/0.55 % (2971)Termination reason: Unknown
% 1.40/0.55 % (2971)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (2971)Memory used [KB]: 5628
% 1.40/0.55 % (2971)Time elapsed: 0.039 s
% 1.40/0.55 % (2971)Instructions burned: 18 (million)
% 1.40/0.55 % (2971)------------------------------
% 1.40/0.55 % (2971)------------------------------
% 1.55/0.57 % (2988)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.55/0.57 % (2988)Instruction limit reached!
% 1.55/0.57 % (2988)------------------------------
% 1.55/0.57 % (2988)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.55/0.57 % (2988)Termination reason: Unknown
% 1.55/0.57 % (2988)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (2988)Memory used [KB]: 1023
% 1.55/0.57 % (2988)Time elapsed: 0.004 s
% 1.55/0.57 % (2988)Instructions burned: 3 (million)
% 1.55/0.57 % (2988)------------------------------
% 1.55/0.57 % (2988)------------------------------
% 1.55/0.59 % (2995)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 1.55/0.61 % (2995)Instruction limit reached!
% 1.55/0.61 % (2995)------------------------------
% 1.55/0.61 % (2995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.55/0.61 % (2995)Termination reason: Unknown
% 1.55/0.61 % (2995)Termination phase: Saturation
% 1.55/0.61
% 1.55/0.61 % (2995)Memory used [KB]: 5628
% 1.55/0.61 % (2995)Time elapsed: 0.023 s
% 1.55/0.61 % (2995)Instructions burned: 30 (million)
% 1.55/0.61 % (2995)------------------------------
% 1.55/0.61 % (2995)------------------------------
% 1.55/0.62 % (3009)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 (2997ds/127Mi)
% 2.01/0.63 % (2946)Instruction limit reached!
% 2.01/0.63 % (2946)------------------------------
% 2.01/0.63 % (2946)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.01/0.63 % (2946)Termination reason: Unknown
% 2.01/0.63 % (2946)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (2946)Memory used [KB]: 6396
% 2.01/0.63 % (2946)Time elapsed: 0.131 s
% 2.01/0.63 % (2946)Instructions burned: 377 (million)
% 2.01/0.63 % (2946)------------------------------
% 2.01/0.63 % (2946)------------------------------
% 2.01/0.64 % (3011)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 (2997ds/100Mi)
% 2.24/0.67 % (3011)Instruction limit reached!
% 2.24/0.67 % (3011)------------------------------
% 2.24/0.67 % (3011)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.67 % (3011)Termination reason: Unknown
% 2.24/0.67 % (3011)Termination phase: Saturation
% 2.24/0.67
% 2.24/0.67 % (3011)Memory used [KB]: 5756
% 2.24/0.67 % (3011)Time elapsed: 0.036 s
% 2.24/0.67 % (3011)Instructions burned: 101 (million)
% 2.24/0.67 % (3011)------------------------------
% 2.24/0.67 % (3011)------------------------------
% 2.24/0.68 % (3009)Instruction limit reached!
% 2.24/0.68 % (3009)------------------------------
% 2.24/0.68 % (3009)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.68 % (3009)Termination reason: Unknown
% 2.24/0.68 % (3009)Termination phase: Saturation
% 2.24/0.68
% 2.24/0.68 % (3009)Memory used [KB]: 6140
% 2.24/0.68 % (3009)Time elapsed: 0.057 s
% 2.24/0.68 % (3009)Instructions burned: 129 (million)
% 2.24/0.68 % (3009)------------------------------
% 2.24/0.68 % (3009)------------------------------
% 2.24/0.68 % (3022)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 (2996ds/3Mi)
% 2.24/0.68 % (3022)Instruction limit reached!
% 2.24/0.68 % (3022)------------------------------
% 2.24/0.68 % (3022)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.68 % (3022)Termination reason: Unknown
% 2.24/0.68 % (3022)Termination phase: Saturation
% 2.24/0.68
% 2.24/0.68 % (3022)Memory used [KB]: 5500
% 2.24/0.68 % (3022)Time elapsed: 0.003 s
% 2.24/0.68 % (3022)Instructions burned: 3 (million)
% 2.24/0.68 % (3022)------------------------------
% 2.24/0.68 % (3022)------------------------------
% 2.24/0.69 % (3024)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 (2996ds/20Mi)
% 2.24/0.69 % (3027)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 (2996ds/86Mi)
% 2.24/0.69 % (3024)Instruction limit reached!
% 2.24/0.69 % (3024)------------------------------
% 2.24/0.69 % (3024)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.69 % (3024)Termination reason: Unknown
% 2.24/0.69 % (3024)Termination phase: Saturation
% 2.24/0.69
% 2.24/0.69 % (3024)Memory used [KB]: 5628
% 2.24/0.69 % (3024)Time elapsed: 0.010 s
% 2.24/0.69 % (3024)Instructions burned: 21 (million)
% 2.24/0.69 % (3024)------------------------------
% 2.24/0.69 % (3024)------------------------------
% 2.24/0.70 % (3031)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 (2996ds/107Mi)
% 2.24/0.71 % (2903)Instruction limit reached!
% 2.24/0.71 % (2903)------------------------------
% 2.24/0.71 % (2903)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.71 % (2903)Termination reason: Unknown
% 2.24/0.71 % (2903)Termination phase: Saturation
% 2.24/0.71
% 2.24/0.71 % (2903)Memory used [KB]: 7164
% 2.24/0.71 % (2903)Time elapsed: 0.267 s
% 2.24/0.71 % (2903)Instructions burned: 710 (million)
% 2.24/0.71 % (2903)------------------------------
% 2.24/0.71 % (2903)------------------------------
% 2.24/0.72 % (3035)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 (2996ds/39Mi)
% 2.24/0.72 % (3027)Instruction limit reached!
% 2.24/0.72 % (3027)------------------------------
% 2.24/0.72 % (3027)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.24/0.72 % (3027)Termination reason: Unknown
% 2.24/0.72 % (3027)Termination phase: Saturation
% 2.24/0.72
% 2.24/0.72 % (3027)Memory used [KB]: 6140
% 2.24/0.72 % (3027)Time elapsed: 0.033 s
% 2.24/0.72 % (3027)Instructions burned: 87 (million)
% 2.24/0.72 % (3027)------------------------------
% 2.24/0.72 % (3027)------------------------------
% 2.24/0.73 % (3042)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 (2996ds/448Mi)
% 2.75/0.74 % (3035)Instruction limit reached!
% 2.75/0.74 % (3035)------------------------------
% 2.75/0.74 % (3035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.74 % (3035)Termination reason: Unknown
% 2.75/0.74 % (3035)Termination phase: Saturation
% 2.75/0.74
% 2.75/0.74 % (3035)Memory used [KB]: 5884
% 2.75/0.74 % (3035)Time elapsed: 0.016 s
% 2.75/0.74 % (3035)Instructions burned: 40 (million)
% 2.75/0.74 % (3035)------------------------------
% 2.75/0.74 % (3035)------------------------------
% 2.75/0.74 % (3031)Instruction limit reached!
% 2.75/0.74 % (3031)------------------------------
% 2.75/0.74 % (3031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.74 % (3031)Termination reason: Unknown
% 2.75/0.74 % (3031)Termination phase: Saturation
% 2.75/0.74
% 2.75/0.74 % (3031)Memory used [KB]: 5756
% 2.75/0.74 % (3031)Time elapsed: 0.039 s
% 2.75/0.74 % (3031)Instructions burned: 107 (million)
% 2.75/0.74 % (3031)------------------------------
% 2.75/0.74 % (3031)------------------------------
% 2.75/0.75 % (3043)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.75/0.75 % (3044)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.75/0.75 % (2878)Instruction limit reached!
% 2.75/0.75 % (2878)------------------------------
% 2.75/0.75 % (2878)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.75 % (2878)Termination reason: Unknown
% 2.75/0.75 % (2878)Termination phase: Saturation
% 2.75/0.75
% 2.75/0.75 % (2878)Memory used [KB]: 7036
% 2.75/0.75 % (2878)Time elapsed: 0.348 s
% 2.75/0.75 % (2878)Instructions burned: 1044 (million)
% 2.75/0.75 % (2878)------------------------------
% 2.75/0.75 % (2878)------------------------------
% 2.75/0.76 % (3049)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)
% 2.75/0.76 % (2949)Instruction limit reached!
% 2.75/0.76 % (2949)------------------------------
% 2.75/0.76 % (2949)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.76 % (2949)Termination reason: Unknown
% 2.75/0.76 % (2949)Termination phase: Saturation
% 2.75/0.76
% 2.75/0.76 % (2949)Memory used [KB]: 7291
% 2.75/0.76 % (2949)Time elapsed: 0.259 s
% 2.75/0.76 % (2949)Instructions burned: 782 (million)
% 2.75/0.76 % (2949)------------------------------
% 2.75/0.76 % (2949)------------------------------
% 2.75/0.76 % (3043)Instruction limit reached!
% 2.75/0.76 % (3043)------------------------------
% 2.75/0.76 % (3043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.76 % (3043)Termination reason: Unknown
% 2.75/0.76 % (3043)Termination phase: Saturation
% 2.75/0.76
% 2.75/0.76 % (3043)Memory used [KB]: 5756
% 2.75/0.76 % (3043)Time elapsed: 0.020 s
% 2.75/0.76 % (3043)Instructions burned: 46 (million)
% 2.75/0.76 % (3043)------------------------------
% 2.75/0.76 % (3043)------------------------------
% 2.97/0.77 % (3053)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 (2995ds/149Mi)
% 2.97/0.77 % (2917)Instruction limit reached!
% 2.97/0.77 % (2917)------------------------------
% 2.97/0.77 % (2917)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.97/0.77 % (2917)Termination reason: Unknown
% 2.97/0.77 % (2917)Termination phase: Saturation
% 2.97/0.77
% 2.97/0.77 % (2917)Memory used [KB]: 7036
% 2.97/0.77 % (2917)Time elapsed: 0.310 s
% 2.97/0.77 % (2917)Instructions burned: 904 (million)
% 2.97/0.77 % (2917)------------------------------
% 2.97/0.77 % (2917)------------------------------
% 2.97/0.77 % (3054)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 2.97/0.77 % (3044)First to succeed.
% 2.97/0.78 % (3044)Refutation found. Thanks to Tanya!
% 2.97/0.78 % SZS status Theorem for theBenchmark
% 2.97/0.78 % SZS output start Proof for theBenchmark
% 2.97/0.78 thf(func_def_14, type, ph0: !>[X0: $tType]:(X0)).
% 2.97/0.78 thf(func_def_15, type, sK1: ($i > $o) > $i > $o).
% 2.97/0.78 thf(func_def_17, type, sK3: $i > $o).
% 2.97/0.78 thf(func_def_18, type, sK4: ($i > $o) > ($i > $o) > $i).
% 2.97/0.78 thf(f335,plain,(
% 2.97/0.78 $false),
% 2.97/0.78 inference(trivial_inequality_removal,[],[f334])).
% 2.97/0.78 thf(f334,plain,(
% 2.97/0.78 ($false = $true)),
% 2.97/0.78 inference(backward_demodulation,[],[f300,f332])).
% 2.97/0.78 thf(f332,plain,(
% 2.97/0.78 ((sK3 @ sK5) = $false)),
% 2.97/0.78 inference(trivial_inequality_removal,[],[f326])).
% 2.97/0.78 thf(f326,plain,(
% 2.97/0.78 ($false = $true) | ((sK3 @ sK5) = $false)),
% 2.97/0.78 inference(superposition,[],[f303,f23])).
% 2.97/0.78 thf(f23,plain,(
% 2.97/0.78 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0)))))),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f22])).
% 2.97/0.78 thf(f22,plain,(
% 2.97/0.78 (((sK3 @ sK2) & (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0))))) = $true)),
% 2.97/0.78 inference(beta_eta_normalization,[],[f21])).
% 2.97/0.78 thf(f21,plain,(
% 2.97/0.78 ($true = ((^[Y0 : $i > $o]: ((Y0 @ sK2) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))) @ sK3))),
% 2.97/0.78 inference(sigma_clausification,[],[f20])).
% 2.97/0.78 thf(f20,plain,(
% 2.97/0.78 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK2) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1))))))) = $true)),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f18])).
% 2.97/0.78 thf(f18,plain,(
% 2.97/0.78 ($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK2) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1))))))) => (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2)))),
% 2.97/0.78 inference(beta_eta_normalization,[],[f17])).
% 2.97/0.78 thf(f17,plain,(
% 2.97/0.78 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))) @ sK2) = $false)),
% 2.97/0.78 inference(sigma_clausification,[],[f10])).
% 2.97/0.78 thf(f10,plain,(
% 2.97/0.78 ((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) = $false)),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f9])).
% 2.97/0.78 thf(f9,plain,(
% 2.97/0.78 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (sK1 @ Y0 @ Y2))))))))) => (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))))))),
% 2.97/0.78 inference(beta_eta_normalization,[],[f8])).
% 2.97/0.78 thf(f8,plain,(
% 2.97/0.78 ($false = ((^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))) @ sK1))),
% 2.97/0.78 inference(sigma_clausification,[],[f7])).
% 2.97/0.78 thf(f7,plain,(
% 2.97/0.78 ($false = (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1))))))))),
% 2.97/0.78 inference(not_proxy_clausification,[],[f6])).
% 2.97/0.78 thf(f6,plain,(
% 2.97/0.78 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))))),
% 2.97/0.78 inference(cnf_transformation,[],[f5])).
% 2.97/0.78 thf(f5,plain,(
% 2.97/0.78 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))))),
% 2.97/0.78 inference(fool_elimination,[],[f4])).
% 2.97/0.78 thf(f4,plain,(
% 2.97/0.78 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X4] : ((X0 @ X1 @ X4) => (X0 @ X2 @ X4))) => ! [X5] : (? [X6 : $i > $o] : (! [X7] : ((X6 @ X7) => (X0 @ X6 @ X7)) & (X6 @ X5)) => (X0 @ (^[X8 : $i] : (? [X9 : $i > $o] : (! [X10] : ((X9 @ X10) => (X0 @ X9 @ X10)) & (X9 @ X8)))) @ X5)))),
% 2.97/0.78 inference(rectify,[],[f2])).
% 2.97/0.78 thf(f2,negated_conjecture,(
% 2.97/0.78 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : (! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3)) & (X4 @ X1)) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : (! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5)) & (X4 @ X3)))) @ X1)))),
% 2.97/0.78 inference(negated_conjecture,[],[f1])).
% 2.97/0.78 thf(f1,conjecture,(
% 2.97/0.78 ! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : (! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3)) & (X4 @ X1)) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : (! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5)) & (X4 @ X3)))) @ X1)))),
% 2.97/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM2A_TWO_pme)).
% 2.97/0.78 thf(f303,plain,(
% 2.97/0.78 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0)))) = $false) | ($false = (X1 @ sK5))) )),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f302])).
% 2.97/0.78 thf(f302,plain,(
% 2.97/0.78 ( ! [X1 : $i > $o] : (($false = ((X1 @ sK5) & (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0))))))) )),
% 2.97/0.78 inference(beta_eta_normalization,[],[f301])).
% 2.97/0.78 thf(f301,plain,(
% 2.97/0.78 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ sK5) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))) @ X1) = $false)) )),
% 2.97/0.78 inference(pi_clausification,[],[f299])).
% 2.97/0.78 thf(f299,plain,(
% 2.97/0.78 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK5) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1))))))))),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f298])).
% 2.97/0.78 thf(f298,plain,(
% 2.97/0.78 ($false = ((sK3 @ sK5) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK5) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))))),
% 2.97/0.78 inference(beta_eta_normalization,[],[f297])).
% 2.97/0.78 thf(f297,plain,(
% 2.97/0.78 (((^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))))) @ sK5) = $false)),
% 2.97/0.78 inference(sigma_clausification,[],[f294])).
% 2.97/0.78 thf(f294,plain,(
% 2.97/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))))),
% 2.97/0.78 inference(trivial_inequality_removal,[],[f293])).
% 2.97/0.78 thf(f293,plain,(
% 2.97/0.78 ($false = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))))),
% 2.97/0.78 inference(forward_demodulation,[],[f290,f24])).
% 2.97/0.78 thf(f24,plain,(
% 2.97/0.78 ((sK3 @ sK2) = $true)),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f22])).
% 2.97/0.78 thf(f290,plain,(
% 2.97/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))))))) | ((sK3 @ sK2) = $false)),
% 2.97/0.78 inference(beta_eta_normalization,[],[f289])).
% 2.97/0.78 thf(f289,plain,(
% 2.97/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))))) | ((sK3 @ sK2) = $false)),
% 2.97/0.78 inference(trivial_inequality_removal,[],[f273])).
% 2.97/0.78 thf(f273,plain,(
% 2.97/0.78 ($false = $true) | ((sK3 @ sK2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))))),
% 2.97/0.78 inference(superposition,[],[f19,f48])).
% 2.97/0.78 thf(f48,plain,(
% 2.97/0.78 ( ! [X0 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0))))) | ((sK1 @ X1 @ X0) = $true) | ((sK3 @ X0) = $false)) )),
% 2.97/0.78 inference(trivial_inequality_removal,[],[f38])).
% 2.97/0.78 thf(f38,plain,(
% 2.97/0.78 ( ! [X0 : $i,X1 : $i > $o] : (((sK3 @ X0) = $false) | ((sK1 @ X1 @ X0) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0))))) | ($false = $true)) )),
% 2.97/0.78 inference(superposition,[],[f27,f30])).
% 2.97/0.78 thf(f30,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK1 @ X2 @ X3) = $false) | ($true = (sK1 @ X1 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f29])).
% 2.97/0.78 thf(f29,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((sK1 @ X2 @ X3) => (sK1 @ X1 @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 2.97/0.78 inference(beta_eta_normalization,[],[f28])).
% 2.97/0.78 thf(f28,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0))))) | ($true = ((^[Y0 : $i]: ((sK1 @ X2 @ Y0) => (sK1 @ X1 @ Y0))) @ X3))) )),
% 2.97/0.78 inference(pi_clausification,[],[f16])).
% 2.97/0.78 thf(f16,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK1 @ X2 @ Y0) => (sK1 @ X1 @ Y0)))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f15])).
% 2.97/0.78 thf(f15,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X2 @ Y0) => (sK1 @ X1 @ Y0))))))) )),
% 2.97/0.78 inference(beta_eta_normalization,[],[f14])).
% 2.97/0.78 thf(f14,plain,(
% 2.97/0.78 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (X1 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ X1 @ Y1)))))) @ X2) = $true)) )),
% 2.97/0.78 inference(pi_clausification,[],[f13])).
% 2.97/0.78 thf(f13,plain,(
% 2.97/0.78 ( ! [X1 : $i > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (X1 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ X1 @ Y1))))))) = $true)) )),
% 2.97/0.78 inference(beta_eta_normalization,[],[f12])).
% 2.97/0.78 thf(f12,plain,(
% 2.97/0.78 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (sK1 @ Y0 @ Y2)))))))) @ X1))) )),
% 2.97/0.78 inference(pi_clausification,[],[f11])).
% 2.97/0.78 thf(f11,plain,(
% 2.97/0.78 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (sK1 @ Y0 @ Y2))))))))))),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f9])).
% 2.97/0.78 thf(f27,plain,(
% 2.97/0.78 ( ! [X1 : $i] : (((sK1 @ sK3 @ X1) = $true) | ($false = (sK3 @ X1))) )),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f26])).
% 2.97/0.78 thf(f26,plain,(
% 2.97/0.78 ( ! [X1 : $i] : (($true = ((sK3 @ X1) => (sK1 @ sK3 @ X1)))) )),
% 2.97/0.78 inference(beta_eta_normalization,[],[f25])).
% 2.97/0.78 thf(f25,plain,(
% 2.97/0.78 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0))) @ X1) = $true)) )),
% 2.97/0.78 inference(pi_clausification,[],[f23])).
% 2.97/0.78 thf(f19,plain,(
% 2.97/0.78 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $false)),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f18])).
% 2.97/0.78 thf(f300,plain,(
% 2.97/0.78 ((sK3 @ sK5) = $true)),
% 2.97/0.78 inference(binary_proxy_clausification,[],[f298])).
% 2.97/0.78 % SZS output end Proof for theBenchmark
% 2.97/0.78 % (3044)------------------------------
% 2.97/0.78 % (3044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.97/0.78 % (3044)Termination reason: Refutation
% 2.97/0.78
% 2.97/0.78 % (3044)Memory used [KB]: 1279
% 2.97/0.78 % (3044)Time elapsed: 0.027 s
% 2.97/0.78 % (3044)Instructions burned: 65 (million)
% 2.97/0.78 % (3044)------------------------------
% 2.97/0.78 % (3044)------------------------------
% 2.97/0.78 % (2852)Success in time 0.417 s
%------------------------------------------------------------------------------