TSTP Solution File: SEV095^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV095^5 : 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 16:01:47 EDT 2024
% Result : Theorem 1.54s 0.59s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV095^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % 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 19:33:09 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
% 0.22/0.38 % (15965)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.38 % (15964)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (15966)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.38 % (15967)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (15965)Instruction limit reached!
% 0.22/0.38 % (15965)------------------------------
% 0.22/0.38 % (15965)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (15965)Termination reason: Unknown
% 0.22/0.38 % (15965)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (15969)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.38 % (15968)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (15965)Memory used [KB]: 5500
% 0.22/0.38 % (15965)Time elapsed: 0.005 s
% 0.22/0.38 % (15965)Instructions burned: 5 (million)
% 0.22/0.38 % (15965)------------------------------
% 0.22/0.38 % (15965)------------------------------
% 0.22/0.38 % (15970)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (15967)Instruction limit reached!
% 0.22/0.38 % (15967)------------------------------
% 0.22/0.38 % (15967)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (15967)Termination reason: Unknown
% 0.22/0.38 % (15967)Termination phase: Property scanning
% 0.22/0.38
% 0.22/0.38 % (15967)Memory used [KB]: 1023
% 0.22/0.38 % (15967)Time elapsed: 0.004 s
% 0.22/0.38 % (15967)Instructions burned: 2 (million)
% 0.22/0.38 % (15967)------------------------------
% 0.22/0.38 % (15967)------------------------------
% 0.22/0.38 % (15968)Instruction limit reached!
% 0.22/0.38 % (15968)------------------------------
% 0.22/0.38 % (15968)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (15968)Termination reason: Unknown
% 0.22/0.38 % (15968)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (15968)Memory used [KB]: 1023
% 0.22/0.38 % (15968)Time elapsed: 0.003 s
% 0.22/0.38 % (15968)Instructions burned: 3 (million)
% 0.22/0.38 % (15968)------------------------------
% 0.22/0.38 % (15968)------------------------------
% 0.22/0.39 % (15966)Refutation not found, incomplete strategy
% 0.22/0.39 % (15966)------------------------------
% 0.22/0.39 % (15966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (15966)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (15966)Memory used [KB]: 5500
% 0.22/0.39 % (15966)Time elapsed: 0.013 s
% 0.22/0.39 % (15966)Instructions burned: 17 (million)
% 0.22/0.39 % (15966)------------------------------
% 0.22/0.39 % (15966)------------------------------
% 0.22/0.39 % (15970)Instruction limit reached!
% 0.22/0.39 % (15970)------------------------------
% 0.22/0.39 % (15970)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (15970)Termination reason: Unknown
% 0.22/0.39 % (15970)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (15970)Memory used [KB]: 5628
% 0.22/0.39 % (15970)Time elapsed: 0.014 s
% 0.22/0.39 % (15970)Instructions burned: 19 (million)
% 0.22/0.39 % (15970)------------------------------
% 0.22/0.39 % (15970)------------------------------
% 0.22/0.39 % (15971)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (15971)Instruction limit reached!
% 0.22/0.40 % (15971)------------------------------
% 0.22/0.40 % (15971)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (15971)Termination reason: Unknown
% 0.22/0.40 % (15971)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (15971)Memory used [KB]: 5500
% 0.22/0.40 % (15971)Time elapsed: 0.004 s
% 0.22/0.40 % (15971)Instructions burned: 3 (million)
% 0.22/0.40 % (15971)------------------------------
% 0.22/0.40 % (15971)------------------------------
% 0.22/0.40 % (15972)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.40 % (15973)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.41 % (15974)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (15973)Instruction limit reached!
% 0.22/0.41 % (15973)------------------------------
% 0.22/0.41 % (15973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (15973)Termination reason: Unknown
% 0.22/0.41 % (15973)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (15973)Memory used [KB]: 5628
% 0.22/0.41 % (15973)Time elapsed: 0.012 s
% 0.22/0.41 % (15973)Instructions burned: 15 (million)
% 0.22/0.41 % (15973)------------------------------
% 0.22/0.41 % (15973)------------------------------
% 0.22/0.41 % (15975)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (15976)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (15974)Instruction limit reached!
% 0.22/0.41 % (15974)------------------------------
% 0.22/0.41 % (15974)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (15974)Termination reason: Unknown
% 0.22/0.41 % (15974)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (15974)Memory used [KB]: 1023
% 0.22/0.41 % (15974)Time elapsed: 0.004 s
% 0.22/0.41 % (15974)Instructions burned: 3 (million)
% 0.22/0.41 % (15974)------------------------------
% 0.22/0.41 % (15974)------------------------------
% 0.22/0.41 % (15976)Instruction limit reached!
% 0.22/0.41 % (15976)------------------------------
% 0.22/0.41 % (15976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (15976)Termination reason: Unknown
% 0.22/0.41 % (15976)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (15976)Memory used [KB]: 1023
% 0.22/0.41 % (15976)Time elapsed: 0.006 s
% 0.22/0.41 % (15976)Instructions burned: 7 (million)
% 0.22/0.41 % (15976)------------------------------
% 0.22/0.41 % (15976)------------------------------
% 0.22/0.42 % (15972)Instruction limit reached!
% 0.22/0.42 % (15972)------------------------------
% 0.22/0.42 % (15972)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (15972)Termination reason: Unknown
% 0.22/0.42 % (15972)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (15972)Memory used [KB]: 5628
% 0.22/0.42 % (15972)Time elapsed: 0.023 s
% 0.22/0.42 % (15972)Instructions burned: 37 (million)
% 0.22/0.42 % (15972)------------------------------
% 0.22/0.42 % (15972)------------------------------
% 0.22/0.42 % (15977)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (15978)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (15979)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (15978)Instruction limit reached!
% 0.22/0.43 % (15978)------------------------------
% 0.22/0.43 % (15978)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (15978)Termination reason: Unknown
% 0.22/0.43 % (15978)Termination phase: Twee Goal Transformation
% 0.22/0.43
% 0.22/0.43 % (15978)Memory used [KB]: 1023
% 0.22/0.43 % (15978)Time elapsed: 0.004 s
% 0.22/0.43 % (15978)Instructions burned: 3 (million)
% 0.22/0.43 % (15979)Instruction limit reached!
% 0.22/0.43 % (15979)------------------------------
% 0.22/0.43 % (15979)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (15978)------------------------------
% 0.22/0.43 % (15978)------------------------------
% 0.22/0.43 % (15979)Termination reason: Unknown
% 0.22/0.43 % (15979)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (15979)Memory used [KB]: 1023
% 0.22/0.43 % (15979)Time elapsed: 0.004 s
% 0.22/0.43 % (15979)Instructions burned: 4 (million)
% 0.22/0.43 % (15979)------------------------------
% 0.22/0.43 % (15979)------------------------------
% 0.22/0.43 % (15977)Instruction limit reached!
% 0.22/0.43 % (15977)------------------------------
% 0.22/0.43 % (15977)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (15977)Termination reason: Unknown
% 0.22/0.43 % (15977)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (15977)Memory used [KB]: 5628
% 0.22/0.43 % (15977)Time elapsed: 0.012 s
% 0.22/0.43 % (15977)Instructions burned: 16 (million)
% 0.22/0.43 % (15977)------------------------------
% 0.22/0.43 % (15977)------------------------------
% 0.22/0.44 % (15980)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (15981)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (15980)Instruction limit reached!
% 0.22/0.44 % (15980)------------------------------
% 0.22/0.44 % (15980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (15980)Termination reason: Unknown
% 0.22/0.44 % (15980)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (15980)Memory used [KB]: 5500
% 0.22/0.44 % (15980)Time elapsed: 0.006 s
% 0.22/0.44 % (15980)Instructions burned: 7 (million)
% 0.22/0.44 % (15980)------------------------------
% 0.22/0.44 % (15980)------------------------------
% 0.22/0.44 % (15981)Instruction limit reached!
% 0.22/0.44 % (15981)------------------------------
% 0.22/0.44 % (15981)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (15981)Termination reason: Unknown
% 0.22/0.44 % (15981)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (15981)Memory used [KB]: 5500
% 0.22/0.44 % (15981)Time elapsed: 0.003 s
% 0.22/0.44 % (15981)Instructions burned: 3 (million)
% 0.22/0.44 % (15981)------------------------------
% 0.22/0.44 % (15981)------------------------------
% 0.22/0.44 % (15982)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (15982)Instruction limit reached!
% 0.22/0.45 % (15982)------------------------------
% 0.22/0.45 % (15982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (15982)Termination reason: Unknown
% 0.22/0.45 % (15982)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (15982)Memory used [KB]: 5500
% 0.22/0.45 % (15982)Time elapsed: 0.005 s
% 0.22/0.45 % (15982)Instructions burned: 4 (million)
% 0.22/0.45 % (15982)------------------------------
% 0.22/0.45 % (15982)------------------------------
% 0.22/0.45 % (15983)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (15989)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (15983)Refutation not found, incomplete strategy
% 0.22/0.46 % (15983)------------------------------
% 0.22/0.46 % (15983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (15983)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (15983)Memory used [KB]: 5500
% 0.22/0.46 % (15983)Time elapsed: 0.008 s
% 0.22/0.46 % (15983)Instructions burned: 8 (million)
% 0.22/0.46 % (15983)------------------------------
% 0.22/0.46 % (15983)------------------------------
% 0.22/0.46 % (15988)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (15989)Instruction limit reached!
% 0.22/0.46 % (15989)------------------------------
% 0.22/0.46 % (15989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (15989)Termination reason: Unknown
% 0.22/0.46 % (15989)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (15989)Memory used [KB]: 5500
% 0.22/0.46 % (15989)Time elapsed: 0.006 s
% 0.22/0.46 % (15989)Instructions burned: 7 (million)
% 0.22/0.46 % (15989)------------------------------
% 0.22/0.46 % (15989)------------------------------
% 0.22/0.46 % (15992)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47 % (15998)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47 % (15999)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (15999)Instruction limit reached!
% 0.22/0.48 % (15999)------------------------------
% 0.22/0.48 % (15999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (15999)Termination reason: Unknown
% 0.22/0.48 % (15999)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (15999)Memory used [KB]: 5500
% 0.22/0.48 % (15999)Time elapsed: 0.005 s
% 0.22/0.48 % (15999)Instructions burned: 6 (million)
% 0.22/0.48 % (15999)------------------------------
% 0.22/0.48 % (15999)------------------------------
% 0.22/0.48 % (15964)Instruction limit reached!
% 0.22/0.48 % (15964)------------------------------
% 0.22/0.48 % (15964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (15964)Termination reason: Unknown
% 0.22/0.48 % (15964)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (15964)Memory used [KB]: 6908
% 0.22/0.48 % (15964)Time elapsed: 0.100 s
% 0.22/0.48 % (15964)Instructions burned: 183 (million)
% 0.22/0.48 % (15964)------------------------------
% 0.22/0.48 % (15964)------------------------------
% 0.22/0.48 % (15998)Instruction limit reached!
% 0.22/0.48 % (15998)------------------------------
% 0.22/0.48 % (15998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (15998)Termination reason: Unknown
% 0.22/0.48 % (15998)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (15998)Memory used [KB]: 5628
% 0.22/0.48 % (15998)Time elapsed: 0.012 s
% 0.22/0.48 % (15998)Instructions burned: 21 (million)
% 0.22/0.48 % (15998)------------------------------
% 0.22/0.48 % (15998)------------------------------
% 0.22/0.49 % (16004)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)
% 0.22/0.49 % (16006)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.49 % (16004)Instruction limit reached!
% 0.22/0.49 % (16004)------------------------------
% 0.22/0.49 % (16004)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (16004)Termination reason: Unknown
% 0.22/0.49 % (16004)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (16004)Memory used [KB]: 5500
% 0.22/0.49 % (16004)Time elapsed: 0.004 s
% 0.22/0.49 % (16004)Instructions burned: 6 (million)
% 0.22/0.49 % (16004)------------------------------
% 0.22/0.49 % (16004)------------------------------
% 0.22/0.49 % (16009)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)
% 0.22/0.50 % (16016)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.51 % (16016)Instruction limit reached!
% 0.22/0.51 % (16016)------------------------------
% 0.22/0.51 % (16016)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (16016)Termination reason: Unknown
% 0.22/0.51 % (16016)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (16016)Memory used [KB]: 5628
% 0.22/0.51 % (16016)Time elapsed: 0.008 s
% 0.22/0.51 % (16016)Instructions burned: 19 (million)
% 0.22/0.51 % (16016)------------------------------
% 0.22/0.51 % (16016)------------------------------
% 0.22/0.51 % (15969)Instruction limit reached!
% 0.22/0.51 % (15969)------------------------------
% 0.22/0.51 % (15969)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (15969)Termination reason: Unknown
% 0.22/0.51 % (15969)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (15969)Memory used [KB]: 6140
% 0.22/0.51 % (15969)Time elapsed: 0.132 s
% 0.22/0.51 % (15969)Instructions burned: 277 (million)
% 0.22/0.51 % (15969)------------------------------
% 0.22/0.51 % (15969)------------------------------
% 0.22/0.52 % (16028)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.52 % (16030)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.53 % (16030)Instruction limit reached!
% 0.22/0.53 % (16030)------------------------------
% 0.22/0.53 % (16030)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (16030)Termination reason: Unknown
% 0.22/0.53 % (16030)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (16030)Memory used [KB]: 5628
% 0.22/0.53 % (16030)Time elapsed: 0.007 s
% 0.22/0.53 % (16030)Instructions burned: 17 (million)
% 0.22/0.53 % (16030)------------------------------
% 0.22/0.53 % (16030)------------------------------
% 0.22/0.54 % (16045)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.54 % (16045)Instruction limit reached!
% 0.22/0.54 % (16045)------------------------------
% 0.22/0.54 % (16045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.54 % (16045)Termination reason: Unknown
% 0.22/0.54 % (16045)Termination phase: Property scanning
% 0.22/0.54
% 0.22/0.54 % (16045)Memory used [KB]: 1023
% 0.22/0.54 % (16045)Time elapsed: 0.002 s
% 0.22/0.54 % (16045)Instructions burned: 3 (million)
% 0.22/0.54 % (16045)------------------------------
% 0.22/0.54 % (16045)------------------------------
% 1.38/0.55 % (16051)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.38/0.56 % (16051)Instruction limit reached!
% 1.38/0.56 % (16051)------------------------------
% 1.38/0.56 % (16051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.56 % (16051)Termination reason: Unknown
% 1.38/0.56 % (16051)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (16051)Memory used [KB]: 5756
% 1.38/0.56 % (16051)Time elapsed: 0.013 s
% 1.38/0.56 % (16051)Instructions burned: 32 (million)
% 1.38/0.56 % (16051)------------------------------
% 1.38/0.56 % (16051)------------------------------
% 1.54/0.57 % (16069)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.54/0.58 % (16028)First to succeed.
% 1.54/0.59 % (16028)Refutation found. Thanks to Tanya!
% 1.54/0.59 % SZS status Theorem for theBenchmark
% 1.54/0.59 % SZS output start Proof for theBenchmark
% 1.54/0.59 thf(func_def_3, type, sP0: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $o).
% 1.54/0.59 thf(func_def_4, type, sK1: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_5, type, sK2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_6, type, sK3: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_7, type, sK4: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.54/0.59 thf(func_def_8, type, sK5: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_9, type, sK6: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_10, type, sK7: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.54/0.59 thf(func_def_11, type, sK8: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.54/0.59 thf(func_def_12, type, sK9: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.54/0.59 thf(func_def_15, type, ph11: !>[X0: $tType]:(X0)).
% 1.54/0.59 thf(f737,plain,(
% 1.54/0.59 $false),
% 1.54/0.59 inference(avatar_sat_refutation,[],[f195,f273,f316,f736])).
% 1.54/0.59 thf(f736,plain,(
% 1.54/0.59 ~spl10_4),
% 1.54/0.59 inference(avatar_contradiction_clause,[],[f735])).
% 1.54/0.59 thf(f735,plain,(
% 1.54/0.59 $false | ~spl10_4),
% 1.54/0.59 inference(subsumption_resolution,[],[f731,f194])).
% 1.54/0.59 thf(f194,plain,(
% 1.54/0.59 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(avatar_component_clause,[],[f192])).
% 1.54/0.59 thf(f192,plain,(
% 1.54/0.59 spl10_4 <=> ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))),
% 1.54/0.59 introduced(avatar_definition,[new_symbols(naming,[spl10_4])])).
% 1.54/0.59 thf(f731,plain,(
% 1.54/0.59 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f730])).
% 1.54/0.59 thf(f730,plain,(
% 1.54/0.59 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true != $true) | ~spl10_4),
% 1.54/0.59 inference(boolean_simplification,[],[f729])).
% 1.54/0.59 thf(f729,plain,(
% 1.54/0.59 ($true != ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(beta_eta_normalization,[],[f727])).
% 1.54/0.59 thf(f727,plain,(
% 1.54/0.59 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) != $true) | ~spl10_4),
% 1.54/0.59 inference(superposition,[],[f22,f684])).
% 1.54/0.59 thf(f684,plain,(
% 1.54/0.59 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(backward_demodulation,[],[f452,f683])).
% 1.54/0.59 thf(f683,plain,(
% 1.54/0.59 ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(equality_proxy_clausification,[],[f682])).
% 1.54/0.59 thf(f682,plain,(
% 1.54/0.59 ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_4),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f681])).
% 1.54/0.59 thf(f681,plain,(
% 1.54/0.59 ($true = $false) | ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_4),
% 1.54/0.59 inference(beta_eta_normalization,[],[f680])).
% 1.54/0.59 thf(f680,plain,(
% 1.54/0.59 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true)) ) | ~spl10_4),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f669])).
% 1.54/0.59 thf(f669,plain,(
% 1.54/0.59 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true) | ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true)) ) | ~spl10_4),
% 1.54/0.59 inference(superposition,[],[f21,f194])).
% 1.54/0.59 thf(f21,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X6 : $i] : (($true != (sP0 @ X1 @ X0)) | ((X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true) | ((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true)) )),
% 1.54/0.59 inference(cnf_transformation,[],[f14])).
% 1.54/0.59 thf(f14,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)))) & ! [X6] : (((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true) | ((X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true)) & ! [X7] : (((X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true))) | ($true != (sP0 @ X1 @ X0)))),
% 1.54/0.59 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f11,f13,f12])).
% 1.54/0.59 thf(f12,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (? [X5] : (((X0 @ X3 @ X2 @ X5) != $true) & ($true != (X1 @ X3 @ X2 @ X5))) & ! [X6] : (((X1 @ X4 @ X2 @ X6) = $true) | ((X0 @ X4 @ X2 @ X6) = $true)) & ! [X7] : (($true = (X1 @ X3 @ X4 @ X7)) | ((X0 @ X3 @ X4 @ X7) = $true))) => (? [X5] : (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5)) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5))) & ! [X6] : (((X1 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true) | ((X0 @ (sK3 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6) = $true)) & ! [X7] : (((X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true))))),
% 1.54/0.59 introduced(choice_axiom,[])).
% 1.54/0.59 thf(f13,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X5] : (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5)) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5))) => (((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)) != $true) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0)))))),
% 1.54/0.59 introduced(choice_axiom,[])).
% 1.54/0.59 thf(f11,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (? [X5] : (((X0 @ X3 @ X2 @ X5) != $true) & ($true != (X1 @ X3 @ X2 @ X5))) & ! [X6] : (((X1 @ X4 @ X2 @ X6) = $true) | ((X0 @ X4 @ X2 @ X6) = $true)) & ! [X7] : (($true = (X1 @ X3 @ X4 @ X7)) | ((X0 @ X3 @ X4 @ X7) = $true))) | ($true != (sP0 @ X1 @ X0)))),
% 1.54/0.59 inference(rectify,[],[f10])).
% 1.54/0.59 thf(f10,plain,(
% 1.54/0.59 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X8 : $i > $o,X10 : $i > $o,X9 : $i > $o] : (? [X13] : (((X1 @ X10 @ X8 @ X13) != $true) & ((X0 @ X10 @ X8 @ X13) != $true)) & ! [X11] : (((X0 @ X9 @ X8 @ X11) = $true) | ($true = (X1 @ X9 @ X8 @ X11))) & ! [X12] : (((X0 @ X10 @ X9 @ X12) = $true) | ((X1 @ X10 @ X9 @ X12) = $true))) | ((sP0 @ X0 @ X1) != $true))),
% 1.54/0.59 inference(nnf_transformation,[],[f8])).
% 1.54/0.59 thf(f8,plain,(
% 1.54/0.59 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X8 : $i > $o,X10 : $i > $o,X9 : $i > $o] : (? [X13] : (((X1 @ X10 @ X8 @ X13) != $true) & ((X0 @ X10 @ X8 @ X13) != $true)) & ! [X11] : (((X0 @ X9 @ X8 @ X11) = $true) | ($true = (X1 @ X9 @ X8 @ X11))) & ! [X12] : (((X0 @ X10 @ X9 @ X12) = $true) | ((X1 @ X10 @ X9 @ X12) = $true))) | ~((sP0 @ X0 @ X1) = $true))),
% 1.54/0.59 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 1.54/0.59 thf(f452,plain,(
% 1.54/0.59 ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_4),
% 1.54/0.59 inference(equality_proxy_clausification,[],[f451])).
% 1.54/0.59 thf(f451,plain,(
% 1.54/0.59 ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ~spl10_4),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f450])).
% 1.54/0.59 thf(f450,plain,(
% 1.54/0.59 ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) | ($true = $false) | ~spl10_4),
% 1.54/0.59 inference(beta_eta_normalization,[],[f449])).
% 1.54/0.59 thf(f449,plain,(
% 1.54/0.59 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0))) ) | ~spl10_4),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f438])).
% 1.54/0.59 thf(f438,plain,(
% 1.54/0.59 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0) = $true) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X0)) | ($true != $true)) ) | ~spl10_4),
% 1.54/0.59 inference(superposition,[],[f20,f194])).
% 1.54/0.59 thf(f20,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X7 : $i] : (($true != (sP0 @ X1 @ X0)) | ((X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0) @ X7) = $true)) )),
% 1.54/0.59 inference(cnf_transformation,[],[f14])).
% 1.54/0.59 thf(f22,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (($true != (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK4 @ X1 @ X0))) | ($true != (sP0 @ X1 @ X0))) )),
% 1.54/0.59 inference(cnf_transformation,[],[f14])).
% 1.54/0.59 thf(f316,plain,(
% 1.54/0.59 spl10_4 | ~spl10_7),
% 1.54/0.59 inference(avatar_split_clause,[],[f313,f270,f192])).
% 1.54/0.59 thf(f270,plain,(
% 1.54/0.59 spl10_7 <=> ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) = $false)),
% 1.54/0.59 introduced(avatar_definition,[new_symbols(naming,[spl10_7])])).
% 1.54/0.59 thf(f313,plain,(
% 1.54/0.59 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_7),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f312])).
% 1.54/0.59 thf(f312,plain,(
% 1.54/0.59 ($true = $false) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_7),
% 1.54/0.59 inference(superposition,[],[f74,f272])).
% 1.54/0.59 thf(f272,plain,(
% 1.54/0.59 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) = $false) | ~spl10_7),
% 1.54/0.59 inference(avatar_component_clause,[],[f270])).
% 1.54/0.59 thf(f74,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (($true = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f73])).
% 1.54/0.59 thf(f73,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | ($true = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true != $true)) )),
% 1.54/0.59 inference(boolean_simplification,[],[f72])).
% 1.54/0.59 thf(f72,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : ((((sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ($true = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(beta_eta_normalization,[],[f62])).
% 1.54/0.59 thf(f62,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (($true = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(primitive_instantiation,[],[f26])).
% 1.54/0.59 thf(f26,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((X1 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true) | ($true = (sK6 @ X1 @ X0 @ (sK7 @ X1 @ X0))) | ($true = (sP0 @ X1 @ X0))) )),
% 1.54/0.59 inference(cnf_transformation,[],[f19])).
% 1.54/0.59 thf(f19,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : ((! [X4] : (((X0 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true) | ((X1 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true)) & (($true = (sK6 @ X1 @ X0 @ (sK7 @ X1 @ X0))) & ($true != (sK5 @ X1 @ X0 @ (sK7 @ X1 @ X0))))) | ($true = (sP0 @ X1 @ X0)) | (((X0 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true) & ((X1 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true)))),
% 1.54/0.59 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f15,f18,f17,f16])).
% 1.54/0.59 thf(f16,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o] : (! [X4] : (((X0 @ X3 @ X2 @ X4) = $true) | ((X1 @ X3 @ X2 @ X4) = $true)) & ? [X5] : (((X3 @ X5) = $true) & ((X2 @ X5) != $true))) => (! [X4] : (((X0 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true) | ((X1 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true)) & ? [X5] : (($true = (sK6 @ X1 @ X0 @ X5)) & ($true != (sK5 @ X1 @ X0 @ X5)))))),
% 1.54/0.59 introduced(choice_axiom,[])).
% 1.54/0.59 thf(f17,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X5] : (($true = (sK6 @ X1 @ X0 @ X5)) & ($true != (sK5 @ X1 @ X0 @ X5))) => (($true = (sK6 @ X1 @ X0 @ (sK7 @ X1 @ X0))) & ($true != (sK5 @ X1 @ X0 @ (sK7 @ X1 @ X0)))))),
% 1.54/0.59 introduced(choice_axiom,[])).
% 1.54/0.59 thf(f18,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X6,X7 : $i > $o] : (((X0 @ X7 @ X7 @ X6) != $true) & ((X1 @ X7 @ X7 @ X6) != $true)) => (((X0 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true) & ((X1 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true)))),
% 1.54/0.59 introduced(choice_axiom,[])).
% 1.54/0.59 thf(f15,plain,(
% 1.54/0.59 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o] : (! [X4] : (((X0 @ X3 @ X2 @ X4) = $true) | ((X1 @ X3 @ X2 @ X4) = $true)) & ? [X5] : (((X3 @ X5) = $true) & ((X2 @ X5) != $true))) | ($true = (sP0 @ X1 @ X0)) | ? [X6,X7 : $i > $o] : (((X0 @ X7 @ X7 @ X6) != $true) & ((X1 @ X7 @ X7 @ X6) != $true)))),
% 1.54/0.59 inference(rectify,[],[f9])).
% 1.54/0.59 thf(f9,plain,(
% 1.54/0.59 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o] : (! [X4] : (((X1 @ X3 @ X2 @ X4) = $true) | ((X0 @ X3 @ X2 @ X4) = $true)) & ? [X5] : (((X3 @ X5) = $true) & ((X2 @ X5) != $true))) | ((sP0 @ X0 @ X1) = $true) | ? [X6,X7 : $i > $o] : (((X1 @ X7 @ X7 @ X6) != $true) & ((X0 @ X7 @ X7 @ X6) != $true)))),
% 1.54/0.59 inference(definition_folding,[],[f7,f8])).
% 1.54/0.59 thf(f7,plain,(
% 1.54/0.59 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o] : (! [X4] : (((X1 @ X3 @ X2 @ X4) = $true) | ((X0 @ X3 @ X2 @ X4) = $true)) & ? [X5] : (((X3 @ X5) = $true) & ((X2 @ X5) != $true))) | ? [X8 : $i > $o,X10 : $i > $o,X9 : $i > $o] : (? [X13] : (((X1 @ X10 @ X8 @ X13) != $true) & ((X0 @ X10 @ X8 @ X13) != $true)) & ! [X11] : (((X0 @ X9 @ X8 @ X11) = $true) | ($true = (X1 @ X9 @ X8 @ X11))) & ! [X12] : (((X0 @ X10 @ X9 @ X12) = $true) | ((X1 @ X10 @ X9 @ X12) = $true))) | ? [X6,X7 : $i > $o] : (((X1 @ X7 @ X7 @ X6) != $true) & ((X0 @ X7 @ X7 @ X6) != $true)))),
% 1.54/0.59 inference(flattening,[],[f6])).
% 1.54/0.59 thf(f6,plain,(
% 1.54/0.59 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o] : (! [X4] : (((X1 @ X3 @ X2 @ X4) = $true) | ((X0 @ X3 @ X2 @ X4) = $true)) & ? [X5] : (((X3 @ X5) = $true) & ((X2 @ X5) != $true))) | ? [X9 : $i > $o,X8 : $i > $o,X10 : $i > $o] : (? [X13] : (((X1 @ X10 @ X8 @ X13) != $true) & ((X0 @ X10 @ X8 @ X13) != $true)) & (! [X11] : (((X0 @ X9 @ X8 @ X11) = $true) | ($true = (X1 @ X9 @ X8 @ X11))) & ! [X12] : (((X0 @ X10 @ X9 @ X12) = $true) | ((X1 @ X10 @ X9 @ X12) = $true)))) | ? [X6,X7 : $i > $o] : (((X1 @ X7 @ X7 @ X6) != $true) & ((X0 @ X7 @ X7 @ X6) != $true)))),
% 1.54/0.59 inference(ennf_transformation,[],[f5])).
% 1.54/0.59 thf(f5,plain,(
% 1.54/0.59 ~? [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (! [X3 : $i > $o,X2 : $i > $o] : (! [X4] : (((X1 @ X3 @ X2 @ X4) = $true) | ((X0 @ X3 @ X2 @ X4) = $true)) => ! [X5] : (((X3 @ X5) = $true) => ((X2 @ X5) = $true))) & ! [X9 : $i > $o,X8 : $i > $o,X10 : $i > $o] : ((! [X11] : (((X0 @ X9 @ X8 @ X11) = $true) | ($true = (X1 @ X9 @ X8 @ X11))) & ! [X12] : (((X0 @ X10 @ X9 @ X12) = $true) | ((X1 @ X10 @ X9 @ X12) = $true))) => ! [X13] : (((X0 @ X10 @ X8 @ X13) = $true) | ((X1 @ X10 @ X8 @ X13) = $true))) & ! [X6,X7 : $i > $o] : (((X1 @ X7 @ X7 @ X6) = $true) | ((X0 @ X7 @ X7 @ X6) = $true)))),
% 1.54/0.59 inference(fool_elimination,[],[f4])).
% 1.54/0.59 thf(f4,plain,(
% 1.54/0.59 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X2 : $i > $o,X3 : $i > $o] : (! [X4] : ((X1 @ X3 @ X2 @ X4) | (X0 @ X3 @ X2 @ X4)) => ! [X5] : ((X3 @ X5) => (X2 @ X5))) & ! [X6,X7 : $i > $o] : ((X0 @ X7 @ X7 @ X6) | (X1 @ X7 @ X7 @ X6)) & ! [X8 : $i > $o,X9 : $i > $o,X10 : $i > $o] : ((! [X11] : ((X1 @ X9 @ X8 @ X11) | (X0 @ X9 @ X8 @ X11)) & ! [X12] : ((X1 @ X10 @ X9 @ X12) | (X0 @ X10 @ X9 @ X12))) => ! [X13] : ((X1 @ X10 @ X8 @ X13) | (X0 @ X10 @ X8 @ X13))))),
% 1.54/0.59 inference(rectify,[],[f2])).
% 1.54/0.59 thf(f2,negated_conjecture,(
% 1.54/0.59 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X3 : $i > $o,X2 : $i > $o] : (! [X4] : ((X1 @ X2 @ X3 @ X4) | (X0 @ X2 @ X3 @ X4)) => ! [X5] : ((X2 @ X5) => (X3 @ X5))) & ! [X4,X6 : $i > $o] : ((X0 @ X6 @ X6 @ X4) | (X1 @ X6 @ X6 @ X4)) & ! [X5 : $i > $o,X7 : $i > $o,X6 : $i > $o] : ((! [X4] : ((X1 @ X7 @ X5 @ X4) | (X0 @ X7 @ X5 @ X4)) & ! [X4] : ((X1 @ X6 @ X7 @ X4) | (X0 @ X6 @ X7 @ X4))) => ! [X4] : ((X1 @ X6 @ X5 @ X4) | (X0 @ X6 @ X5 @ X4))))),
% 1.54/0.59 inference(negated_conjecture,[],[f1])).
% 1.54/0.59 thf(f1,conjecture,(
% 1.54/0.59 ? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X3 : $i > $o,X2 : $i > $o] : (! [X4] : ((X1 @ X2 @ X3 @ X4) | (X0 @ X2 @ X3 @ X4)) => ! [X5] : ((X2 @ X5) => (X3 @ X5))) & ! [X4,X6 : $i > $o] : ((X0 @ X6 @ X6 @ X4) | (X1 @ X6 @ X6 @ X4)) & ! [X5 : $i > $o,X7 : $i > $o,X6 : $i > $o] : ((! [X4] : ((X1 @ X7 @ X5 @ X4) | (X0 @ X7 @ X5 @ X4)) & ! [X4] : ((X1 @ X6 @ X7 @ X4) | (X0 @ X6 @ X7 @ X4))) => ! [X4] : ((X1 @ X6 @ X5 @ X4) | (X0 @ X6 @ X5 @ X4))))),
% 1.54/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM122C_pme)).
% 1.54/0.59 thf(f273,plain,(
% 1.54/0.59 spl10_7 | spl10_4 | ~spl10_3),
% 1.54/0.59 inference(avatar_split_clause,[],[f266,f188,f192,f270])).
% 1.54/0.59 thf(f188,plain,(
% 1.54/0.59 spl10_3 <=> ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))),
% 1.54/0.59 introduced(avatar_definition,[new_symbols(naming,[spl10_3])])).
% 1.54/0.59 thf(f266,plain,(
% 1.54/0.59 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) = $false) | ~spl10_3),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f264])).
% 1.54/0.59 thf(f264,plain,(
% 1.54/0.59 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) = $false) | ($true != $true) | ~spl10_3),
% 1.54/0.59 inference(superposition,[],[f45,f224])).
% 1.54/0.59 thf(f224,plain,(
% 1.54/0.59 ( ! [X1 : $i] : (($true = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ X1)) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ X1) = $false)) ) | ~spl10_3),
% 1.54/0.59 inference(binary_proxy_clausification,[],[f221])).
% 1.54/0.59 thf(f221,plain,(
% 1.54/0.59 ( ! [X1 : $i] : (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ X1) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ X1))) ) | ~spl10_3),
% 1.54/0.59 inference(argument_congruence,[],[f190])).
% 1.54/0.59 thf(f190,plain,(
% 1.54/0.59 ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ~spl10_3),
% 1.54/0.59 inference(avatar_component_clause,[],[f188])).
% 1.54/0.59 thf(f45,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f44])).
% 1.54/0.59 thf(f44,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ($true != $true)) )),
% 1.54/0.59 inference(boolean_simplification,[],[f43])).
% 1.54/0.59 thf(f43,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | (((sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true)) )),
% 1.54/0.59 inference(beta_eta_normalization,[],[f30])).
% 1.54/0.59 thf(f30,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o] : (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0 @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true)) )),
% 1.54/0.59 inference(primitive_instantiation,[],[f24])).
% 1.54/0.59 thf(f24,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (((X1 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true) | ($true = (sP0 @ X1 @ X0)) | ($true != (sK5 @ X1 @ X0 @ (sK7 @ X1 @ X0)))) )),
% 1.54/0.59 inference(cnf_transformation,[],[f19])).
% 1.54/0.59 thf(f195,plain,(
% 1.54/0.59 spl10_3 | spl10_4),
% 1.54/0.59 inference(avatar_split_clause,[],[f169,f192,f188])).
% 1.54/0.59 thf(f169,plain,(
% 1.54/0.59 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f168])).
% 1.54/0.59 thf(f168,plain,(
% 1.54/0.59 ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true = $false)),
% 1.54/0.59 inference(beta_eta_normalization,[],[f165])).
% 1.54/0.59 thf(f165,plain,(
% 1.54/0.59 ( ! [X4 : $i] : (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X4)) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) )),
% 1.54/0.59 inference(primitive_instantiation,[],[f109])).
% 1.54/0.59 thf(f109,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : (((X0 @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(equality_proxy_clausification,[],[f108])).
% 1.54/0.59 thf(f108,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | ((X0 @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true)) )),
% 1.54/0.59 inference(trivial_inequality_removal,[],[f107])).
% 1.54/0.59 thf(f107,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : (((X0 @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ($true != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(boolean_simplification,[],[f106])).
% 1.54/0.59 thf(f106,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : (((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true) | ((X0 @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | (((sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true)) )),
% 1.54/0.59 inference(beta_eta_normalization,[],[f94])).
% 1.54/0.59 thf(f94,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | ((X0 @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X4) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK9 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = $true)) )),
% 1.54/0.59 inference(primitive_instantiation,[],[f28])).
% 1.54/0.59 thf(f28,plain,(
% 1.54/0.59 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X4 : $i] : (((X1 @ (sK9 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK8 @ X1 @ X0)) != $true) | ((X1 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true) | ($true = (sP0 @ X1 @ X0)) | ((X0 @ (sK6 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ X4) = $true)) )),
% 1.54/0.59 inference(cnf_transformation,[],[f19])).
% 1.54/0.59 % SZS output end Proof for theBenchmark
% 1.54/0.59 % (16028)------------------------------
% 1.54/0.59 % (16028)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.54/0.59 % (16028)Termination reason: Refutation
% 1.54/0.59
% 1.54/0.59 % (16028)Memory used [KB]: 6396
% 1.54/0.59 % (16028)Time elapsed: 0.071 s
% 1.54/0.59 % (16028)Instructions burned: 200 (million)
% 1.54/0.59 % (16028)------------------------------
% 1.54/0.59 % (16028)------------------------------
% 1.54/0.59 % (15963)Success in time 0.206 s
%------------------------------------------------------------------------------