TSTP Solution File: AGT031^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 03:40:14 EDT 2024
% Result : Theorem 1.48s 0.58s
% Output : Refutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n024.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 : Wed Jun 19 03:54:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 Running higher-order theorem proving
% 0.20/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.20/0.38 % (23982)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)
% 0.20/0.38 % (23981)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)
% 0.20/0.38 % (23984)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)
% 0.20/0.38 % (23983)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (23980)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.38 % (23985)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)
% 0.20/0.38 % (23986)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38 % (23984)Instruction limit reached!
% 0.20/0.38 % (23984)------------------------------
% 0.20/0.38 % (23984)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (23984)Termination reason: Unknown
% 0.20/0.38 % (23984)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (23984)Memory used [KB]: 1023
% 0.20/0.38 % (23984)Time elapsed: 0.003 s
% 0.20/0.38 % (23984)Instructions burned: 2 (million)
% 0.20/0.38 % (23984)------------------------------
% 0.20/0.38 % (23984)------------------------------
% 0.20/0.38 % (23983)Instruction limit reached!
% 0.20/0.38 % (23983)------------------------------
% 0.20/0.38 % (23983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (23983)Termination reason: Unknown
% 0.20/0.38 % (23983)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (23983)Memory used [KB]: 1023
% 0.20/0.38 % (23983)Time elapsed: 0.004 s
% 0.20/0.38 % (23983)Instructions burned: 3 (million)
% 0.20/0.38 % (23983)------------------------------
% 0.20/0.38 % (23983)------------------------------
% 0.20/0.38 % (23981)Instruction limit reached!
% 0.20/0.38 % (23981)------------------------------
% 0.20/0.38 % (23981)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (23981)Termination reason: Unknown
% 0.20/0.38 % (23981)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (23981)Memory used [KB]: 1151
% 0.20/0.38 % (23981)Time elapsed: 0.005 s
% 0.20/0.38 % (23981)Instructions burned: 5 (million)
% 0.20/0.38 % (23981)------------------------------
% 0.20/0.38 % (23981)------------------------------
% 0.20/0.38 % (23985)Refutation not found, incomplete strategy
% 0.20/0.38 % (23985)------------------------------
% 0.20/0.38 % (23985)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (23985)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (23985)Memory used [KB]: 5628
% 0.20/0.38 % (23985)Time elapsed: 0.009 s
% 0.20/0.38 % (23985)Instructions burned: 12 (million)
% 0.20/0.38 % (23985)------------------------------
% 0.20/0.38 % (23985)------------------------------
% 0.20/0.39 % (23986)Instruction limit reached!
% 0.20/0.39 % (23986)------------------------------
% 0.20/0.39 % (23986)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (23986)Termination reason: Unknown
% 0.20/0.39 % (23986)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (23986)Memory used [KB]: 1151
% 0.20/0.39 % (23986)Time elapsed: 0.011 s
% 0.20/0.39 % (23986)Instructions burned: 18 (million)
% 0.20/0.39 % (23986)------------------------------
% 0.20/0.39 % (23986)------------------------------
% 0.20/0.39 % (23982)Instruction limit reached!
% 0.20/0.39 % (23982)------------------------------
% 0.20/0.39 % (23982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (23982)Termination reason: Unknown
% 0.20/0.39 % (23982)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (23982)Memory used [KB]: 5884
% 0.20/0.39 % (23982)Time elapsed: 0.017 s
% 0.20/0.39 % (23982)Instructions burned: 28 (million)
% 0.20/0.39 % (23982)------------------------------
% 0.20/0.39 % (23982)------------------------------
% 0.20/0.39 % (23988)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)
% 0.20/0.39 % (23987)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)
% 0.20/0.39 % (23989)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)
% 0.20/0.40 % (23987)Instruction limit reached!
% 0.20/0.40 % (23987)------------------------------
% 0.20/0.40 % (23987)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (23987)Termination reason: Unknown
% 0.20/0.40 % (23987)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (23987)Memory used [KB]: 1151
% 0.20/0.40 % (23987)Time elapsed: 0.004 s
% 0.20/0.40 % (23987)Instructions burned: 4 (million)
% 0.20/0.40 % (23987)------------------------------
% 0.20/0.40 % (23987)------------------------------
% 0.20/0.40 % (23990)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)
% 0.20/0.40 % (23991)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)
% 0.20/0.40 % (23990)Instruction limit reached!
% 0.20/0.40 % (23990)------------------------------
% 0.20/0.40 % (23990)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (23990)Termination reason: Unknown
% 0.20/0.40 % (23990)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (23990)Memory used [KB]: 1023
% 0.20/0.40 % (23990)Time elapsed: 0.004 s
% 0.20/0.40 % (23990)Instructions burned: 4 (million)
% 0.20/0.40 % (23990)------------------------------
% 0.20/0.40 % (23990)------------------------------
% 0.20/0.40 % (23989)Instruction limit reached!
% 0.20/0.40 % (23989)------------------------------
% 0.20/0.40 % (23989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (23989)Termination reason: Unknown
% 0.20/0.40 % (23989)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (23989)Memory used [KB]: 1151
% 0.20/0.40 % (23989)Time elapsed: 0.010 s
% 0.20/0.40 % (23989)Instructions burned: 16 (million)
% 0.20/0.40 % (23989)------------------------------
% 0.20/0.40 % (23989)------------------------------
% 0.20/0.41 % (23992)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (23988)Instruction limit reached!
% 0.20/0.41 % (23988)------------------------------
% 0.20/0.41 % (23988)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (23988)Termination reason: Unknown
% 0.20/0.41 % (23988)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (23988)Memory used [KB]: 5884
% 0.20/0.41 % (23988)Time elapsed: 0.018 s
% 0.20/0.41 % (23988)Instructions burned: 37 (million)
% 0.20/0.41 % (23988)------------------------------
% 0.20/0.41 % (23988)------------------------------
% 0.20/0.41 % (23993)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (23992)Instruction limit reached!
% 0.20/0.41 % (23992)------------------------------
% 0.20/0.41 % (23992)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (23992)Termination reason: Unknown
% 0.20/0.41 % (23992)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (23992)Memory used [KB]: 1151
% 0.20/0.41 % (23992)Time elapsed: 0.006 s
% 0.20/0.41 % (23992)Instructions burned: 8 (million)
% 0.20/0.41 % (23992)------------------------------
% 0.20/0.41 % (23992)------------------------------
% 0.20/0.42 % (23994)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)
% 0.20/0.42 % (23995)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)
% 0.20/0.42 % (23993)Instruction limit reached!
% 0.20/0.42 % (23993)------------------------------
% 0.20/0.42 % (23993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (23993)Termination reason: Unknown
% 0.20/0.42 % (23993)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (23993)Memory used [KB]: 1151
% 0.20/0.42 % (23993)Time elapsed: 0.010 s
% 0.20/0.42 % (23993)Instructions burned: 16 (million)
% 0.20/0.42 % (23993)------------------------------
% 0.20/0.42 % (23993)------------------------------
% 0.20/0.42 % (23994)Instruction limit reached!
% 0.20/0.42 % (23994)------------------------------
% 0.20/0.42 % (23994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (23994)Termination reason: Unknown
% 0.20/0.42 % (23994)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (23994)Memory used [KB]: 1151
% 0.20/0.42 % (23994)Time elapsed: 0.004 s
% 0.20/0.42 % (23994)Instructions burned: 4 (million)
% 0.20/0.42 % (23994)------------------------------
% 0.20/0.42 % (23994)------------------------------
% 0.20/0.42 % (23995)Instruction limit reached!
% 0.20/0.42 % (23995)------------------------------
% 0.20/0.42 % (23995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (23995)Termination reason: Unknown
% 0.20/0.42 % (23995)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (23995)Memory used [KB]: 1023
% 0.20/0.42 % (23995)Time elapsed: 0.004 s
% 0.20/0.42 % (23995)Instructions burned: 4 (million)
% 0.20/0.42 % (23995)------------------------------
% 0.20/0.42 % (23995)------------------------------
% 0.20/0.42 % (23996)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)
% 0.20/0.43 % (23997)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)
% 0.20/0.43 % (23996)Instruction limit reached!
% 0.20/0.43 % (23996)------------------------------
% 0.20/0.43 % (23996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (23997)Instruction limit reached!
% 0.20/0.43 % (23997)------------------------------
% 0.20/0.43 % (23997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (23997)Termination reason: Unknown
% 0.20/0.43 % (23996)Termination reason: Unknown
% 0.20/0.43 % (23997)Termination phase: shuffling
% 0.20/0.43 % (23996)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (23997)Memory used [KB]: 1151
% 0.20/0.43 % (23996)Memory used [KB]: 1151
% 0.20/0.43 % (23997)Time elapsed: 0.004 s
% 0.20/0.43 % (23996)Time elapsed: 0.006 s
% 0.20/0.43 % (23997)Instructions burned: 4 (million)
% 0.20/0.43 % (23996)Instructions burned: 7 (million)
% 0.20/0.43 % (23997)------------------------------
% 0.20/0.43 % (23997)------------------------------
% 0.20/0.43 % (23996)------------------------------
% 0.20/0.43 % (23996)------------------------------
% 0.20/0.43 % (23998)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (24000)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44 % (23999)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)
% 0.20/0.44 % (23998)Instruction limit reached!
% 0.20/0.44 % (23998)------------------------------
% 0.20/0.44 % (23998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (23998)Termination reason: Unknown
% 0.20/0.44 % (23998)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (23998)Memory used [KB]: 1151
% 0.20/0.44 % (23998)Time elapsed: 0.004 s
% 0.20/0.44 % (23998)Instructions burned: 4 (million)
% 0.20/0.44 % (23998)------------------------------
% 0.20/0.44 % (23998)------------------------------
% 0.20/0.44 % (24001)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (24000)Refutation not found, incomplete strategy
% 0.20/0.44 % (24000)------------------------------
% 0.20/0.44 % (24000)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (24000)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (24000)Memory used [KB]: 5756
% 0.20/0.44 % (24000)Time elapsed: 0.011 s
% 0.20/0.44 % (24000)Instructions burned: 18 (million)
% 0.20/0.44 % (24000)------------------------------
% 0.20/0.44 % (24000)------------------------------
% 0.20/0.44 % (24002)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)
% 0.20/0.45 % (23999)Instruction limit reached!
% 0.20/0.45 % (23999)------------------------------
% 0.20/0.45 % (23999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (23999)Termination reason: Unknown
% 0.20/0.45 % (23999)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (23999)Memory used [KB]: 5628
% 0.20/0.45 % (23999)Time elapsed: 0.012 s
% 0.20/0.45 % (23999)Instructions burned: 18 (million)
% 0.20/0.45 % (23999)------------------------------
% 0.20/0.45 % (23999)------------------------------
% 0.20/0.45 % (24001)Instruction limit reached!
% 0.20/0.45 % (24001)------------------------------
% 0.20/0.45 % (24001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (24001)Termination reason: Unknown
% 0.20/0.45 % (24001)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (24001)Memory used [KB]: 1151
% 0.20/0.45 % (24001)Time elapsed: 0.005 s
% 0.20/0.45 % (24001)Instructions burned: 6 (million)
% 0.20/0.45 % (24001)------------------------------
% 0.20/0.45 % (24001)------------------------------
% 0.20/0.45 % (24003)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)
% 0.20/0.45 % (24002)Refutation not found, incomplete strategy
% 0.20/0.45 % (24002)------------------------------
% 0.20/0.45 % (24002)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (24002)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (24002)Memory used [KB]: 5628
% 0.20/0.45 % (24002)Time elapsed: 0.011 s
% 0.20/0.45 % (24002)Instructions burned: 14 (million)
% 0.20/0.45 % (24002)------------------------------
% 0.20/0.45 % (24002)------------------------------
% 0.20/0.46 % (24004)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46 % (24005)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.46 % (24006)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.46 % (24003)Instruction limit reached!
% 0.20/0.46 % (24003)------------------------------
% 0.20/0.46 % (24003)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (24003)Termination reason: Unknown
% 0.20/0.46 % (24003)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (24003)Memory used [KB]: 5628
% 0.20/0.46 % (24003)Time elapsed: 0.013 s
% 0.20/0.46 % (24003)Instructions burned: 22 (million)
% 0.20/0.46 % (24003)------------------------------
% 0.20/0.46 % (24003)------------------------------
% 0.20/0.46 % (24004)Instruction limit reached!
% 0.20/0.46 % (24004)------------------------------
% 0.20/0.46 % (24004)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (24004)Termination reason: Unknown
% 0.20/0.46 % (24004)Termination phase: Property scanning
% 0.20/0.46
% 0.20/0.46 % (24004)Memory used [KB]: 1151
% 0.20/0.46 % (24004)Time elapsed: 0.005 s
% 0.20/0.46 % (24004)Instructions burned: 6 (million)
% 0.20/0.46 % (24004)------------------------------
% 0.20/0.46 % (24004)------------------------------
% 0.20/0.46 % (24005)Instruction limit reached!
% 0.20/0.46 % (24005)------------------------------
% 0.20/0.46 % (24005)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (24005)Termination reason: Unknown
% 0.20/0.46 % (24005)Termination phase: Property scanning
% 0.20/0.46
% 0.20/0.46 % (24005)Memory used [KB]: 1151
% 0.20/0.46 % (24005)Time elapsed: 0.005 s
% 0.20/0.46 % (24005)Instructions burned: 7 (million)
% 0.20/0.46 % (24005)------------------------------
% 0.20/0.46 % (24005)------------------------------
% 0.20/0.47 % (24007)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.48 % (24010)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.48 % (24008)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)
% 0.20/0.48 % (24009)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)
% 0.20/0.48 % (24010)Instruction limit reached!
% 0.20/0.48 % (24010)------------------------------
% 0.20/0.48 % (24010)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (24010)Termination reason: Unknown
% 0.20/0.48 % (24010)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (24010)Memory used [KB]: 1151
% 0.20/0.48 % (24010)Time elapsed: 0.008 s
% 0.20/0.48 % (24010)Instructions burned: 17 (million)
% 0.20/0.48 % (24010)------------------------------
% 0.20/0.48 % (24010)------------------------------
% 0.20/0.48 % (24008)Refutation not found, incomplete strategy
% 0.20/0.48 % (24008)------------------------------
% 0.20/0.48 % (24008)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (24008)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % (24008)Memory used [KB]: 5756
% 0.20/0.48 % (24008)Time elapsed: 0.007 s
% 0.20/0.48 % (24008)Instructions burned: 13 (million)
% 0.20/0.48 % (24008)------------------------------
% 0.20/0.48 % (24008)------------------------------
% 0.20/0.49 % (23980)Instruction limit reached!
% 0.20/0.49 % (23980)------------------------------
% 0.20/0.49 % (23980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (23980)Termination reason: Unknown
% 0.20/0.49 % (23980)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (23980)Memory used [KB]: 6780
% 0.20/0.49 % (23980)Time elapsed: 0.112 s
% 0.20/0.49 % (23980)Instructions burned: 183 (million)
% 0.20/0.49 % (23980)------------------------------
% 0.20/0.49 % (23980)------------------------------
% 0.20/0.49 % (24011)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.49 % (24011)Instruction limit reached!
% 0.20/0.49 % (24011)------------------------------
% 0.20/0.49 % (24011)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (24011)Termination reason: Unknown
% 0.20/0.49 % (24011)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (24011)Memory used [KB]: 1023
% 0.20/0.49 % (24011)Time elapsed: 0.002 s
% 0.20/0.49 % (24011)Instructions burned: 3 (million)
% 0.20/0.49 % (24011)------------------------------
% 0.20/0.49 % (24011)------------------------------
% 0.20/0.49 % (24012)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.50 % (24013)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.50 % (24012)Instruction limit reached!
% 0.20/0.50 % (24012)------------------------------
% 0.20/0.50 % (24012)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.50 % (24014)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.50 % (24012)Termination reason: Unknown
% 0.20/0.50 % (24012)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (24012)Memory used [KB]: 5884
% 0.20/0.50 % (24012)Time elapsed: 0.010 s
% 0.20/0.50 % (24012)Instructions burned: 30 (million)
% 0.20/0.50 % (24012)------------------------------
% 0.20/0.50 % (24012)------------------------------
% 0.20/0.51 % (24015)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.51 % (24015)Instruction limit reached!
% 0.20/0.51 % (24015)------------------------------
% 0.20/0.51 % (24015)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (24015)Termination reason: Unknown
% 0.20/0.51 % (24015)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (24015)Memory used [KB]: 1151
% 0.20/0.51 % (24015)Time elapsed: 0.003 s
% 0.20/0.51 % (24015)Instructions burned: 4 (million)
% 0.20/0.51 % (24015)------------------------------
% 0.20/0.51 % (24015)------------------------------
% 0.20/0.52 % (24016)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.20/0.53 % (24016)Refutation not found, incomplete strategy
% 0.20/0.53 % (24016)------------------------------
% 0.20/0.53 % (24016)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.53 % (24016)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (24016)Memory used [KB]: 5756
% 0.20/0.53 % (24016)Time elapsed: 0.007 s
% 0.20/0.53 % (24016)Instructions burned: 16 (million)
% 0.20/0.53 % (24016)------------------------------
% 0.20/0.53 % (24016)------------------------------
% 0.20/0.53 % (24014)Instruction limit reached!
% 0.20/0.53 % (24014)------------------------------
% 0.20/0.53 % (24014)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.53 % (24014)Termination reason: Unknown
% 0.20/0.53 % (24014)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (24014)Memory used [KB]: 6268
% 0.20/0.53 % (24014)Time elapsed: 0.035 s
% 0.20/0.53 % (24014)Instructions burned: 100 (million)
% 0.20/0.53 % (24014)------------------------------
% 0.20/0.53 % (24014)------------------------------
% 0.20/0.54 % (24017)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.20/0.54 % (24018)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 (2998ds/107Mi)
% 0.20/0.54 % (24013)Instruction limit reached!
% 0.20/0.54 % (24013)------------------------------
% 0.20/0.54 % (24013)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.54 % (24013)Termination reason: Unknown
% 0.20/0.54 % (24013)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (24013)Memory used [KB]: 6396
% 0.20/0.54 % (24013)Time elapsed: 0.046 s
% 0.20/0.54 % (24013)Instructions burned: 128 (million)
% 0.20/0.54 % (24013)------------------------------
% 0.20/0.54 % (24013)------------------------------
% 1.48/0.56 % (24017)Instruction limit reached!
% 1.48/0.56 % (24017)------------------------------
% 1.48/0.56 % (24017)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.48/0.56 % (24017)Termination reason: Unknown
% 1.48/0.56 % (24017)Termination phase: Saturation
% 1.48/0.56
% 1.48/0.56 % (24017)Memory used [KB]: 6268
% 1.48/0.56 % (24017)Time elapsed: 0.030 s
% 1.48/0.56 % (24017)Instructions burned: 86 (million)
% 1.48/0.56 % (24017)------------------------------
% 1.48/0.56 % (24017)------------------------------
% 1.48/0.57 % (24019)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 (2998ds/39Mi)
% 1.48/0.57 % (24006)First to succeed.
% 1.48/0.57 % (24020)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 (2998ds/448Mi)
% 1.48/0.58 % (24006)Refutation found. Thanks to Tanya!
% 1.48/0.58 % SZS status Theorem for theBenchmark
% 1.48/0.58 % SZS output start Proof for theBenchmark
% 1.48/0.58 thf(type_def_5, type, mu: $tType).
% 1.48/0.58 thf(func_def_0, type, mu: $tType).
% 1.48/0.58 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.48/0.58 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_15, type, mtrue: $i > $o).
% 1.48/0.58 thf(func_def_16, type, mfalse: $i > $o).
% 1.48/0.58 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.48/0.58 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 1.48/0.58 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 1.48/0.58 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.48/0.58 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.48/0.58 thf(func_def_33, type, a1: $i > $i > $o).
% 1.48/0.58 thf(func_def_34, type, a2: $i > $i > $o).
% 1.48/0.58 thf(func_def_35, type, a3: $i > $i > $o).
% 1.48/0.58 thf(func_def_36, type, jan: mu).
% 1.48/0.58 thf(func_def_37, type, piotr: mu).
% 1.48/0.58 thf(func_def_38, type, cola: mu).
% 1.48/0.58 thf(func_def_39, type, pepsi: mu).
% 1.48/0.58 thf(func_def_40, type, beer: mu).
% 1.48/0.58 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 1.48/0.58 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 1.48/0.58 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 1.48/0.58 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.48/0.58 thf(func_def_62, type, sK1: $i > $i).
% 1.48/0.58 thf(func_def_63, type, sK2: $i > $i).
% 1.48/0.58 thf(func_def_64, type, sK3: $i > $i).
% 1.48/0.58 thf(func_def_65, type, sK4: mu > $i > mu > $i).
% 1.48/0.58 thf(func_def_66, type, sK5: mu > $i > mu > $i).
% 1.48/0.58 thf(func_def_67, type, sK6: mu > $i > mu > $i).
% 1.48/0.58 thf(func_def_68, type, sK7: $i > $i).
% 1.48/0.58 thf(func_def_69, type, sK8: mu > $i > mu > $i).
% 1.48/0.58 thf(func_def_71, type, sK10: $i > $i).
% 1.48/0.58 thf(f1778,plain,(
% 1.48/0.58 $false),
% 1.48/0.58 inference(avatar_sat_refutation,[],[f1406,f1437,f1659,f1773])).
% 1.48/0.58 thf(f1773,plain,(
% 1.48/0.58 ~spl0_1),
% 1.48/0.58 inference(avatar_contradiction_clause,[],[f1772])).
% 1.48/0.58 thf(f1772,plain,(
% 1.48/0.58 $false | ~spl0_1),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1771])).
% 1.48/0.58 thf(f1771,plain,(
% 1.48/0.58 ($true = $false) | ~spl0_1),
% 1.48/0.58 inference(forward_demodulation,[],[f1752,f633])).
% 1.48/0.58 thf(f633,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : mu] : (((very_much_likes @ X1 @ X2 @ sK9) = $false)) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f632])).
% 1.48/0.58 thf(f632,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : mu] : (((~ (very_much_likes @ X1 @ X2 @ sK9)) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f631])).
% 1.48/0.58 thf(f631,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : mu] : (($true = ((^[Y0 : mu]: (~ (very_much_likes @ X1 @ Y0 @ sK9))) @ X2))) )),
% 1.48/0.58 inference(pi_clausification,[],[f630])).
% 1.48/0.58 thf(f630,plain,(
% 1.48/0.58 ( ! [X1 : mu] : (($true = (!! @ mu @ (^[Y0 : mu]: (~ (very_much_likes @ X1 @ Y0 @ sK9)))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f629])).
% 1.48/0.58 thf(f629,plain,(
% 1.48/0.58 ( ! [X1 : mu] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK9))))) @ X1) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f628])).
% 1.48/0.58 thf(f628,plain,(
% 1.48/0.58 ((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK9)))))) = $true)),
% 1.48/0.58 inference(not_proxy_clausification,[],[f627])).
% 1.48/0.58 thf(f627,plain,(
% 1.48/0.58 ((~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK9))))))) = $false)),
% 1.48/0.58 inference(beta_eta_normalization,[],[f626])).
% 1.48/0.58 thf(f626,plain,(
% 1.48/0.58 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0)))))))) @ sK9) = $false)),
% 1.48/0.58 inference(sigma_clausification,[],[f625])).
% 1.48/0.58 thf(f625,plain,(
% 1.48/0.58 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0))))))))))),
% 1.48/0.58 inference(boolean_simplification,[],[f624])).
% 1.48/0.58 thf(f624,plain,(
% 1.48/0.58 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0))))))))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f335])).
% 1.48/0.58 thf(f335,plain,(
% 1.48/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))) != $true)),
% 1.48/0.58 inference(definition_unfolding,[],[f280,f289,f297,f297])).
% 1.48/0.58 thf(f297,plain,(
% 1.48/0.58 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 1.48/0.58 inference(definition_unfolding,[],[f231,f232,f247,f232])).
% 1.48/0.58 thf(f247,plain,(
% 1.48/0.58 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f215])).
% 1.48/0.58 thf(f215,plain,(
% 1.48/0.58 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.48/0.58 inference(fool_elimination,[],[f214])).
% 1.48/0.58 thf(f214,plain,(
% 1.48/0.58 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 1.48/0.58 inference(rectify,[],[f10])).
% 1.48/0.58 thf(f10,axiom,(
% 1.48/0.58 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 1.48/0.58 thf(f232,plain,(
% 1.48/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f109])).
% 1.48/0.58 thf(f109,plain,(
% 1.48/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.48/0.58 inference(fool_elimination,[],[f108])).
% 1.48/0.58 thf(f108,plain,(
% 1.48/0.58 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.48/0.58 inference(rectify,[],[f3])).
% 1.48/0.58 thf(f3,axiom,(
% 1.48/0.58 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 1.48/0.58 thf(f231,plain,(
% 1.48/0.58 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f127])).
% 1.48/0.58 thf(f127,plain,(
% 1.48/0.58 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 1.48/0.58 inference(fool_elimination,[],[f126])).
% 1.48/0.58 thf(f126,plain,(
% 1.48/0.58 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 1.48/0.58 inference(rectify,[],[f12])).
% 1.48/0.58 thf(f12,axiom,(
% 1.48/0.58 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 1.48/0.58 thf(f289,plain,(
% 1.48/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.48/0.58 inference(cnf_transformation,[],[f83])).
% 1.48/0.58 thf(f83,plain,(
% 1.48/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.48/0.58 inference(fool_elimination,[],[f82])).
% 1.48/0.58 thf(f82,plain,(
% 1.48/0.58 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 1.48/0.58 inference(rectify,[],[f28])).
% 1.48/0.58 thf(f28,axiom,(
% 1.48/0.58 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 1.48/0.58 thf(f280,plain,(
% 1.48/0.58 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))) != $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f218])).
% 1.48/0.58 thf(f218,plain,(
% 1.48/0.58 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))) != $true)),
% 1.48/0.58 inference(flattening,[],[f199])).
% 1.48/0.58 thf(f199,plain,(
% 1.48/0.58 ~((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f198])).
% 1.48/0.58 thf(f198,plain,(
% 1.48/0.58 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 1.48/0.58 inference(rectify,[],[f74])).
% 1.48/0.58 thf(f74,negated_conjecture,(
% 1.48/0.58 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 1.48/0.58 inference(negated_conjecture,[],[f73])).
% 1.48/0.58 thf(f73,conjecture,(
% 1.48/0.58 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 1.48/0.58 thf(f1752,plain,(
% 1.48/0.58 ( ! [X0 : mu,X1 : mu] : (((very_much_likes @ X1 @ X0 @ sK9) = $true)) ) | ~spl0_1),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1720])).
% 1.48/0.58 thf(f1720,plain,(
% 1.48/0.58 ( ! [X0 : mu,X1 : mu] : (($true = $false) | ((very_much_likes @ X1 @ X0 @ sK9) = $true)) ) | ~spl0_1),
% 1.48/0.58 inference(superposition,[],[f1400,f858])).
% 1.48/0.58 thf(f858,plain,(
% 1.48/0.58 ( ! [X2 : mu,X0 : $i,X1 : mu] : (($true = (a3 @ (sK8 @ X1 @ X0 @ X2) @ X0)) | ((very_much_likes @ X2 @ X1 @ X0) = $true)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f856])).
% 1.48/0.58 thf(f856,plain,(
% 1.48/0.58 ( ! [X2 : mu,X0 : $i,X1 : mu] : (($true = (a3 @ (sK8 @ X1 @ X0 @ X2) @ X0)) | ($true = $false) | ((very_much_likes @ X2 @ X1 @ X0) = $true)) )),
% 1.48/0.58 inference(superposition,[],[f600,f614])).
% 1.48/0.58 thf(f614,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (a3 @ X1 @ (sK8 @ X3 @ X1 @ X2))) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f612])).
% 1.48/0.58 thf(f612,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | ((~ (a3 @ X1 @ (sK8 @ X3 @ X1 @ X2))) = $false)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f611])).
% 1.48/0.58 thf(f611,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((very_much_likes @ X2 @ X3 @ (sK8 @ X3 @ X1 @ X2)) | (~ (a3 @ X1 @ (sK8 @ X3 @ X1 @ X2)))) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f610])).
% 1.48/0.58 thf(f610,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | ($false = ((^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))) @ (sK8 @ X3 @ X1 @ X2)))) )),
% 1.48/0.58 inference(sigma_clausification,[],[f609])).
% 1.48/0.58 thf(f609,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0))))) = $false)) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f608])).
% 1.48/0.58 thf(f608,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))))))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f607])).
% 1.48/0.58 thf(f607,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((very_much_likes @ X2 @ X3 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0))))))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f606])).
% 1.48/0.58 thf(f606,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1)))))))) @ X3) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f605])).
% 1.48/0.58 thf(f605,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1))))))))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f604])).
% 1.48/0.58 thf(f604,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2)))))))))) @ X2) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f603])).
% 1.48/0.58 thf(f603,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2))))))))))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f602])).
% 1.48/0.58 thf(f602,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3)))))))))))) @ X1) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f601])).
% 1.48/0.58 thf(f601,plain,(
% 1.48/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3))))))))))))) = $true)),
% 1.48/0.58 inference(beta_eta_normalization,[],[f307])).
% 1.48/0.58 thf(f307,plain,(
% 1.48/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)),
% 1.48/0.58 inference(definition_unfolding,[],[f237,f289,f247,f247,f293,f268])).
% 1.48/0.58 thf(f268,plain,(
% 1.48/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f129])).
% 1.48/0.58 thf(f129,plain,(
% 1.48/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.48/0.58 inference(fool_elimination,[],[f128])).
% 1.48/0.58 thf(f128,plain,(
% 1.48/0.58 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 1.48/0.58 inference(rectify,[],[f16])).
% 1.48/0.58 thf(f16,axiom,(
% 1.48/0.58 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 1.48/0.58 thf(f293,plain,(
% 1.48/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.48/0.58 inference(definition_unfolding,[],[f235,f263,f232])).
% 1.48/0.58 thf(f263,plain,(
% 1.48/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f81])).
% 1.48/0.58 thf(f81,plain,(
% 1.48/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.48/0.58 inference(fool_elimination,[],[f80])).
% 1.48/0.58 thf(f80,plain,(
% 1.48/0.58 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 1.48/0.58 inference(rectify,[],[f4])).
% 1.48/0.58 thf(f4,axiom,(
% 1.48/0.58 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 1.48/0.58 thf(f235,plain,(
% 1.48/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.48/0.58 inference(cnf_transformation,[],[f168])).
% 1.48/0.58 thf(f168,plain,(
% 1.48/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.48/0.58 inference(fool_elimination,[],[f167])).
% 1.48/0.58 thf(f167,plain,(
% 1.48/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 1.48/0.58 inference(rectify,[],[f6])).
% 1.48/0.58 thf(f6,axiom,(
% 1.48/0.58 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 1.48/0.58 thf(f237,plain,(
% 1.48/0.58 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f77])).
% 1.48/0.58 thf(f77,plain,(
% 1.48/0.58 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f76])).
% 1.48/0.58 thf(f76,plain,(
% 1.48/0.58 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 1.48/0.58 inference(rectify,[],[f45])).
% 1.48/0.58 thf(f45,axiom,(
% 1.48/0.58 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1)).
% 1.48/0.58 thf(f600,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (a3 @ X2 @ X1)) | ((a3 @ X1 @ X2) = $true)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f599])).
% 1.48/0.58 thf(f599,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((a3 @ X2 @ X1) => (a3 @ X1 @ X2)))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f598])).
% 1.48/0.58 thf(f598,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((a3 @ Y0 @ X1) => (a3 @ X1 @ Y0))) @ X2) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f597])).
% 1.48/0.58 thf(f597,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((a3 @ Y0 @ X1) => (a3 @ X1 @ Y0)))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f596])).
% 1.48/0.58 thf(f596,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y1 @ Y0) => (a3 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f595])).
% 1.48/0.58 thf(f595,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y1 @ Y0) => (a3 @ Y0 @ Y1)))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f321])).
% 1.48/0.58 thf(f321,plain,(
% 1.48/0.58 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ a3))),
% 1.48/0.58 inference(definition_unfolding,[],[f257,f279])).
% 1.48/0.58 thf(f279,plain,(
% 1.48/0.58 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f163])).
% 1.48/0.58 thf(f163,plain,(
% 1.48/0.58 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 1.48/0.58 inference(fool_elimination,[],[f162])).
% 1.48/0.58 thf(f162,plain,(
% 1.48/0.58 (msymmetric = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
% 1.48/0.58 inference(rectify,[],[f19])).
% 1.48/0.58 thf(f19,axiom,(
% 1.48/0.58 (msymmetric = (^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 1.48/0.58 thf(f257,plain,(
% 1.48/0.58 ((msymmetric @ a3) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f139])).
% 1.48/0.58 thf(f139,plain,(
% 1.48/0.58 ((msymmetric @ a3) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f138])).
% 1.48/0.58 thf(f138,plain,(
% 1.48/0.58 (msymmetric @ a3)),
% 1.48/0.58 inference(rectify,[],[f52])).
% 1.48/0.58 thf(f52,axiom,(
% 1.48/0.58 (msymmetric @ a3)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3)).
% 1.48/0.58 thf(f1400,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($false = (a3 @ X1 @ sK9))) ) | ~spl0_1),
% 1.48/0.58 inference(avatar_component_clause,[],[f1399])).
% 1.48/0.58 thf(f1399,plain,(
% 1.48/0.58 spl0_1 <=> ! [X1] : ($false = (a3 @ X1 @ sK9))),
% 1.48/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 1.48/0.58 thf(f1659,plain,(
% 1.48/0.58 ~spl0_5),
% 1.48/0.58 inference(avatar_contradiction_clause,[],[f1658])).
% 1.48/0.58 thf(f1658,plain,(
% 1.48/0.58 $false | ~spl0_5),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1636])).
% 1.48/0.58 thf(f1636,plain,(
% 1.48/0.58 ($true = $false) | ~spl0_5),
% 1.48/0.58 inference(superposition,[],[f440,f1476])).
% 1.48/0.58 thf(f1476,plain,(
% 1.48/0.58 ( ! [X0 : $i] : (((a1 @ sK9 @ X0) = $false)) ) | ~spl0_5),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1470])).
% 1.48/0.58 thf(f1470,plain,(
% 1.48/0.58 ( ! [X0 : $i] : (((a1 @ sK9 @ X0) = $false) | ($true = $false)) ) | ~spl0_5),
% 1.48/0.58 inference(superposition,[],[f587,f1431])).
% 1.48/0.58 thf(f1431,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($false = (a1 @ X1 @ sK9))) ) | ~spl0_5),
% 1.48/0.58 inference(avatar_component_clause,[],[f1430])).
% 1.48/0.58 thf(f1430,plain,(
% 1.48/0.58 spl0_5 <=> ! [X1] : ($false = (a1 @ X1 @ sK9))),
% 1.48/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 1.48/0.58 thf(f587,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (a1 @ X1 @ X2)) | ((a1 @ X2 @ X1) = $false)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f586])).
% 1.48/0.58 thf(f586,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((a1 @ X2 @ X1) => (a1 @ X1 @ X2)))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f585])).
% 1.48/0.58 thf(f585,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a1 @ X1 @ Y0))) @ X2) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f584])).
% 1.48/0.58 thf(f584,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a1 @ X1 @ Y0)))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f583])).
% 1.48/0.58 thf(f583,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a1 @ Y0 @ Y1))))) @ X1))) )),
% 1.48/0.58 inference(pi_clausification,[],[f582])).
% 1.48/0.58 thf(f582,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a1 @ Y0 @ Y1)))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f326])).
% 1.48/0.58 thf(f326,plain,(
% 1.48/0.58 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ a1))),
% 1.48/0.58 inference(definition_unfolding,[],[f265,f279])).
% 1.48/0.58 thf(f265,plain,(
% 1.48/0.58 ((msymmetric @ a1) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f187])).
% 1.48/0.58 thf(f187,plain,(
% 1.48/0.58 ((msymmetric @ a1) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f186])).
% 1.48/0.58 thf(f186,plain,(
% 1.48/0.58 (msymmetric @ a1)),
% 1.48/0.58 inference(rectify,[],[f50])).
% 1.48/0.58 thf(f50,axiom,(
% 1.48/0.58 (msymmetric @ a1)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1)).
% 1.48/0.58 thf(f440,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($true = (a1 @ X1 @ (sK1 @ X1)))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f437])).
% 1.48/0.58 thf(f437,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((~ (a1 @ X1 @ (sK1 @ X1))) = $false)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f436])).
% 1.48/0.58 thf(f436,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((~ (likes @ piotr @ beer @ (sK1 @ X1))) | (~ (a1 @ X1 @ (sK1 @ X1)))) = $false)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f435])).
% 1.48/0.58 thf(f435,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ (sK1 @ X1)) = $false)) )),
% 1.48/0.58 inference(sigma_clausification,[],[f434])).
% 1.48/0.58 thf(f434,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0))))) = $false)) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f433])).
% 1.48/0.58 thf(f433,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f432])).
% 1.48/0.58 thf(f432,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1))))))) @ X1))) )),
% 1.48/0.58 inference(pi_clausification,[],[f431])).
% 1.48/0.58 thf(f431,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1)))))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f322])).
% 1.48/0.58 thf(f322,plain,(
% 1.48/0.58 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a1 @ (likes @ piotr @ beer))))),
% 1.48/0.58 inference(definition_unfolding,[],[f258,f289,f300])).
% 1.48/0.58 thf(f300,plain,(
% 1.48/0.58 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 1.48/0.58 inference(definition_unfolding,[],[f234,f232,f268,f232])).
% 1.48/0.58 thf(f234,plain,(
% 1.48/0.58 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f101])).
% 1.48/0.58 thf(f101,plain,(
% 1.48/0.58 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.48/0.58 inference(fool_elimination,[],[f100])).
% 1.48/0.58 thf(f100,plain,(
% 1.48/0.58 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 1.48/0.58 inference(rectify,[],[f17])).
% 1.48/0.58 thf(f17,axiom,(
% 1.48/0.58 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 1.48/0.58 thf(f258,plain,(
% 1.48/0.58 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f123])).
% 1.48/0.58 thf(f123,plain,(
% 1.48/0.58 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f122])).
% 1.48/0.58 thf(f122,plain,(
% 1.48/0.58 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 1.48/0.58 inference(rectify,[],[f43])).
% 1.48/0.58 thf(f43,axiom,(
% 1.48/0.58 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3)).
% 1.48/0.58 thf(f1437,plain,(
% 1.48/0.58 spl0_5 | ~spl0_2),
% 1.48/0.58 inference(avatar_split_clause,[],[f1416,f1402,f1430])).
% 1.48/0.58 thf(f1402,plain,(
% 1.48/0.58 spl0_2 <=> ($false = (likes @ piotr @ pepsi @ sK9))),
% 1.48/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.48/0.58 thf(f1416,plain,(
% 1.48/0.58 ( ! [X0 : $i] : (((a1 @ X0 @ sK9) = $false)) ) | ~spl0_2),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1408])).
% 1.48/0.58 thf(f1408,plain,(
% 1.48/0.58 ( ! [X0 : $i] : (($true = $false) | ((a1 @ X0 @ sK9) = $false)) ) | ~spl0_2),
% 1.48/0.58 inference(superposition,[],[f1404,f594])).
% 1.48/0.58 thf(f594,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ piotr @ pepsi @ X2)) | ($false = (a1 @ X1 @ X2))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f593])).
% 1.48/0.58 thf(f593,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a1 @ X1 @ X2))) | ($true = (likes @ piotr @ pepsi @ X2))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f592])).
% 1.48/0.58 thf(f592,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ piotr @ pepsi @ X2) | (~ (a1 @ X1 @ X2))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f591])).
% 1.48/0.58 thf(f591,plain,(
% 1.48/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ piotr @ pepsi @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f590])).
% 1.48/0.58 thf(f590,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ piotr @ pepsi @ Y0) | (~ (a1 @ X1 @ Y0))))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f589])).
% 1.48/0.58 thf(f589,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ piotr @ pepsi @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f588])).
% 1.48/0.58 thf(f588,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ piotr @ pepsi @ Y1) | (~ (a1 @ Y0 @ Y1))))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f339])).
% 1.48/0.58 thf(f339,plain,(
% 1.48/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a1 @ (likes @ piotr @ pepsi))) = $true)),
% 1.48/0.58 inference(definition_unfolding,[],[f288,f289,f268])).
% 1.48/0.58 thf(f288,plain,(
% 1.48/0.58 ((mvalid @ (mbox @ a1 @ (likes @ piotr @ pepsi))) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f79])).
% 1.48/0.58 thf(f79,plain,(
% 1.48/0.58 ((mvalid @ (mbox @ a1 @ (likes @ piotr @ pepsi))) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f78])).
% 1.48/0.58 thf(f78,plain,(
% 1.48/0.58 (mvalid @ (mbox @ a1 @ (likes @ piotr @ pepsi)))),
% 1.48/0.58 inference(rectify,[],[f33])).
% 1.48/0.58 thf(f33,axiom,(
% 1.48/0.58 (mvalid @ (mbox @ a1 @ (likes @ piotr @ pepsi)))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2)).
% 1.48/0.58 thf(f1404,plain,(
% 1.48/0.58 ($false = (likes @ piotr @ pepsi @ sK9)) | ~spl0_2),
% 1.48/0.58 inference(avatar_component_clause,[],[f1402])).
% 1.48/0.58 thf(f1406,plain,(
% 1.48/0.58 spl0_1 | spl0_1 | spl0_2),
% 1.48/0.58 inference(avatar_split_clause,[],[f1393,f1402,f1399,f1399])).
% 1.48/0.58 thf(f1393,plain,(
% 1.48/0.58 ( ! [X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ sK9)) | ($false = (likes @ piotr @ pepsi @ sK9)) | ((a3 @ X0 @ sK9) = $false)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1388])).
% 1.48/0.58 thf(f1388,plain,(
% 1.48/0.58 ( ! [X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ sK9)) | ($false = (likes @ piotr @ pepsi @ sK9)) | ((a3 @ X0 @ sK9) = $false) | ($true = $false)) )),
% 1.48/0.58 inference(superposition,[],[f1374,f633])).
% 1.48/0.58 thf(f1374,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((a3 @ X2 @ X0) = $false) | ((likes @ piotr @ pepsi @ X0) = $false) | ($false = (a3 @ X1 @ X0))) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1340])).
% 1.48/0.58 thf(f1340,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($true = $false) | ($false = (a3 @ X1 @ X0)) | ((a3 @ X2 @ X0) = $false) | ((likes @ piotr @ pepsi @ X0) = $false)) )),
% 1.48/0.58 inference(superposition,[],[f1334,f457])).
% 1.48/0.58 thf(f457,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((a1 @ X1 @ (sK3 @ X1)) = $true)) )),
% 1.48/0.58 inference(sigma_clausification,[],[f456])).
% 1.48/0.58 thf(f456,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($true = (?? @ $i @ (a1 @ X1)))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f455])).
% 1.48/0.58 thf(f455,plain,(
% 1.48/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (a1 @ Y0))) @ X1) = $true)) )),
% 1.48/0.58 inference(pi_clausification,[],[f454])).
% 1.48/0.58 thf(f454,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a1 @ Y0)))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f323])).
% 1.48/0.58 thf(f323,plain,(
% 1.48/0.58 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a1))),
% 1.48/0.58 inference(definition_unfolding,[],[f261,f260])).
% 1.48/0.58 thf(f260,plain,(
% 1.48/0.58 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f103])).
% 1.48/0.58 thf(f103,plain,(
% 1.48/0.58 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 1.48/0.58 inference(fool_elimination,[],[f102])).
% 1.48/0.58 thf(f102,plain,(
% 1.48/0.58 ((^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))) = mserial)),
% 1.48/0.58 inference(rectify,[],[f20])).
% 1.48/0.58 thf(f20,axiom,(
% 1.48/0.58 ((^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))) = mserial)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 1.48/0.58 thf(f261,plain,(
% 1.48/0.58 ((mserial @ a1) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f135])).
% 1.48/0.58 thf(f135,plain,(
% 1.48/0.58 ((mserial @ a1) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f134])).
% 1.48/0.58 thf(f134,plain,(
% 1.48/0.58 (mserial @ a1)),
% 1.48/0.58 inference(rectify,[],[f53])).
% 1.48/0.58 thf(f53,axiom,(
% 1.48/0.58 (mserial @ a1)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1)).
% 1.48/0.58 thf(f1334,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a1 @ (sK4 @ pepsi @ X1 @ piotr) @ X0) = $false) | ((likes @ piotr @ pepsi @ X1) = $false) | ($false = (a3 @ X2 @ X1)) | ((very_much_likes @ piotr @ pepsi @ X1) = $true) | ($false = (a3 @ X3 @ X1))) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1325])).
% 1.48/0.58 thf(f1325,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((very_much_likes @ piotr @ pepsi @ X1) = $true) | ($false = (a3 @ X3 @ X1)) | ((a1 @ (sK4 @ pepsi @ X1 @ piotr) @ X0) = $false) | ((likes @ piotr @ pepsi @ X1) = $false) | ($false = (a3 @ X2 @ X1))) )),
% 1.48/0.58 inference(superposition,[],[f587,f1316])).
% 1.48/0.58 thf(f1316,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a1 @ X1 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((a3 @ X3 @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((a3 @ X2 @ X0) = $false) | ((likes @ piotr @ pepsi @ X0) = $false)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1315])).
% 1.48/0.58 thf(f1315,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a1 @ X1 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($true = $false) | ((a3 @ X3 @ X0) = $false) | ((likes @ piotr @ pepsi @ X0) = $false) | ((a3 @ X2 @ X0) = $false)) )),
% 1.48/0.58 inference(duplicate_literal_removal,[],[f1294])).
% 1.48/0.58 thf(f1294,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((a3 @ X2 @ X0) = $false) | ((a1 @ X1 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((likes @ piotr @ pepsi @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((likes @ piotr @ pepsi @ X0) = $false) | ($true = $false) | ((a3 @ X3 @ X0) = $false)) )),
% 1.48/0.58 inference(superposition,[],[f1287,f1084])).
% 1.48/0.58 thf(f1084,plain,(
% 1.48/0.58 ( ! [X0 : $i,X1 : $i] : (((a1 @ X0 @ (sK5 @ pepsi @ X0 @ piotr)) = $true) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ((likes @ piotr @ pepsi @ X0) = $false)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1055])).
% 1.48/0.58 thf(f1055,plain,(
% 1.48/0.58 ( ! [X0 : $i,X1 : $i] : (((a1 @ X0 @ (sK5 @ pepsi @ X0 @ piotr)) = $true) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($true = $false) | ($false = (a3 @ X1 @ X0)) | ((likes @ piotr @ pepsi @ X0) = $false)) )),
% 1.48/0.58 inference(superposition,[],[f1025,f457])).
% 1.48/0.58 thf(f1025,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a1 @ (sK4 @ pepsi @ X1 @ piotr) @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X1) = $true) | ((likes @ piotr @ pepsi @ X1) = $false) | ((a1 @ X1 @ (sK5 @ pepsi @ X1 @ piotr)) = $true) | ($false = (a3 @ X2 @ X1))) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1014])).
% 1.48/0.58 thf(f1014,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((likes @ piotr @ pepsi @ X1) = $false) | ($false = (a3 @ X2 @ X1)) | ((a1 @ X1 @ (sK5 @ pepsi @ X1 @ piotr)) = $true) | ((a1 @ (sK4 @ pepsi @ X1 @ piotr) @ X0) = $false) | ($true = $false) | ((very_much_likes @ piotr @ pepsi @ X1) = $true)) )),
% 1.48/0.58 inference(superposition,[],[f989,f587])).
% 1.48/0.58 thf(f989,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a1 @ X2 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((a1 @ X0 @ (sK5 @ pepsi @ X0 @ piotr)) = $true) | ($false = (a3 @ X1 @ X0)) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((likes @ piotr @ pepsi @ X0) = $false)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f966])).
% 1.48/0.58 thf(f966,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((a1 @ X2 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ((likes @ piotr @ pepsi @ X0) = $false) | ((a1 @ X0 @ (sK5 @ pepsi @ X0 @ piotr)) = $true)) )),
% 1.48/0.58 inference(superposition,[],[f559,f594])).
% 1.48/0.58 thf(f559,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false) | ($false = (a3 @ X1 @ X4)) | ($true = (a1 @ X4 @ (sK5 @ X3 @ X4 @ X2))) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f557])).
% 1.48/0.58 thf(f557,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($false = (~ (a1 @ X4 @ (sK5 @ X3 @ X4 @ X2)))) | ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f556])).
% 1.48/0.58 thf(f556,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | (((likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK5 @ X3 @ X4 @ X2)))) = $false)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f555])).
% 1.48/0.58 thf(f555,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))) @ (sK5 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 1.48/0.58 inference(sigma_clausification,[],[f554])).
% 1.48/0.58 thf(f554,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))) = $false) | ((likes @ X2 @ X3 @ X4) = $false) | ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($false = (a3 @ X1 @ X4))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f552])).
% 1.48/0.58 thf(f552,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))) = $false) | ($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f551])).
% 1.48/0.58 thf(f551,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))) = $false) | ($false = (a3 @ X1 @ X4)) | (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f550])).
% 1.48/0.58 thf(f550,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))) = $false) | (((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))) @ (sK4 @ X3 @ X4 @ X2)) = $false) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($false = (a3 @ X1 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 1.48/0.58 inference(sigma_clausification,[],[f549])).
% 1.48/0.58 thf(f549,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (a3 @ X1 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))) = $false) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f548])).
% 1.48/0.58 thf(f548,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (a3 @ X1 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))) = $false)) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f547])).
% 1.48/0.58 thf(f547,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($false = (a3 @ X1 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f546])).
% 1.48/0.58 thf(f546,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($false = (a3 @ X1 @ X4)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) = $true) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )),
% 1.48/0.58 inference(not_proxy_clausification,[],[f545])).
% 1.48/0.58 thf(f545,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a3 @ X1 @ X4))) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) = $true)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f544])).
% 1.48/0.58 thf(f544,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f543])).
% 1.48/0.58 thf(f543,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((very_much_likes @ X2 @ X3 @ X4) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4))))) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f542])).
% 1.48/0.58 thf(f542,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (((very_much_likes @ X2 @ X3 @ X4) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) | (~ (a3 @ X1 @ X4))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f541])).
% 1.48/0.58 thf(f541,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0)))) @ X4))) )),
% 1.48/0.58 inference(pi_clausification,[],[f540])).
% 1.48/0.58 thf(f540,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0))))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f539])).
% 1.48/0.58 thf(f539,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1)))))) @ X3))) )),
% 1.48/0.58 inference(pi_clausification,[],[f538])).
% 1.48/0.58 thf(f538,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1))))))))) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f537])).
% 1.48/0.58 thf(f537,plain,(
% 1.48/0.58 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2)))))))) @ X2))) )),
% 1.48/0.58 inference(pi_clausification,[],[f536])).
% 1.48/0.58 thf(f536,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2))))))))) = $true)) )),
% 1.48/0.58 inference(beta_eta_normalization,[],[f535])).
% 1.48/0.58 thf(f535,plain,(
% 1.48/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3)))))))))) @ X1))) )),
% 1.48/0.58 inference(pi_clausification,[],[f534])).
% 1.48/0.58 thf(f534,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 1.48/0.58 inference(boolean_simplification,[],[f533])).
% 1.48/0.58 thf(f533,plain,(
% 1.48/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)),
% 1.48/0.58 inference(boolean_simplification,[],[f532])).
% 1.48/0.58 thf(f532,plain,(
% 1.48/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))))) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 1.48/0.58 inference(beta_eta_normalization,[],[f336])).
% 1.48/0.58 thf(f336,plain,(
% 1.48/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (likes @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a1 @ (likes @ Y0 @ Y1)) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)),
% 1.48/0.58 inference(definition_unfolding,[],[f283,f289,f247,f247,f268,f293,f292,f292,f268,f268])).
% 1.48/0.58 thf(f292,plain,(
% 1.48/0.58 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 1.48/0.58 inference(definition_unfolding,[],[f291,f232,f263,f232,f232])).
% 1.48/0.58 thf(f291,plain,(
% 1.48/0.58 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.48/0.58 inference(cnf_transformation,[],[f95])).
% 1.48/0.58 thf(f95,plain,(
% 1.48/0.58 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.48/0.58 inference(fool_elimination,[],[f94])).
% 1.48/0.58 thf(f94,plain,(
% 1.48/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 1.48/0.58 inference(rectify,[],[f5])).
% 1.48/0.58 thf(f5,axiom,(
% 1.48/0.58 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 1.48/0.58 thf(f283,plain,(
% 1.48/0.58 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)),
% 1.48/0.58 inference(cnf_transformation,[],[f207])).
% 1.48/0.58 thf(f207,plain,(
% 1.48/0.58 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)),
% 1.48/0.58 inference(fool_elimination,[],[f206])).
% 1.48/0.58 thf(f206,plain,(
% 1.48/0.58 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))),
% 1.48/0.58 inference(rectify,[],[f44])).
% 1.48/0.58 thf(f44,axiom,(
% 1.48/0.58 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))),
% 1.48/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4)).
% 1.48/0.58 thf(f1287,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X2 @ (sK5 @ pepsi @ X0 @ piotr))) | ((likes @ piotr @ pepsi @ X0) = $false) | ((a1 @ X3 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($false = (a3 @ X1 @ X0))) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1280])).
% 1.48/0.58 thf(f1280,plain,(
% 1.48/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((likes @ piotr @ pepsi @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ((a1 @ X3 @ (sK4 @ pepsi @ X0 @ piotr)) = $false) | ($true = $false) | ($false = (a1 @ X2 @ (sK5 @ pepsi @ X0 @ piotr)))) )),
% 1.48/0.58 inference(superposition,[],[f1259,f594])).
% 1.48/0.58 thf(f1259,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (likes @ piotr @ pepsi @ (sK4 @ pepsi @ X0 @ piotr))) | ((a3 @ X2 @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ((likes @ piotr @ pepsi @ X0) = $false) | ((a1 @ X1 @ (sK5 @ pepsi @ X0 @ piotr)) = $false)) )),
% 1.48/0.58 inference(trivial_inequality_removal,[],[f1247])).
% 1.48/0.58 thf(f1247,plain,(
% 1.48/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a3 @ X2 @ X0) = $false) | ((very_much_likes @ piotr @ pepsi @ X0) = $true) | ($false = (likes @ piotr @ pepsi @ (sK4 @ pepsi @ X0 @ piotr))) | ((likes @ piotr @ pepsi @ X0) = $false) | ($true = $false) | ((a1 @ X1 @ (sK5 @ pepsi @ X0 @ piotr)) = $false)) )),
% 1.48/0.58 inference(superposition,[],[f594,f558])).
% 1.48/0.58 thf(f558,plain,(
% 1.48/0.58 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2)) = $false) | ($false = (a3 @ X1 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) = $false) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.48/0.58 inference(binary_proxy_clausification,[],[f556])).
% 1.48/0.58 % SZS output end Proof for theBenchmark
% 1.48/0.58 % (24006)------------------------------
% 1.48/0.58 % (24006)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.48/0.58 % (24006)Termination reason: Refutation
% 1.48/0.58
% 1.48/0.58 % (24006)Memory used [KB]: 6780
% 1.48/0.58 % (24006)Time elapsed: 0.116 s
% 1.48/0.58 % (24006)Instructions burned: 276 (million)
% 1.48/0.58 % (24006)------------------------------
% 1.48/0.58 % (24006)------------------------------
% 1.48/0.58 % (23979)Success in time 0.213 s
%------------------------------------------------------------------------------