TSTP Solution File: AGT032^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT032^2 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 May 20 17:58:47 EDT 2024
% Result : Theorem 1.33s 0.59s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT032^2 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 18:49:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % (29254)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (29256)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)
% 0.15/0.39 % (29255)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)
% 0.15/0.39 % (29257)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (29259)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)
% 0.15/0.39 % (29260)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (29257)Instruction limit reached!
% 0.15/0.39 % (29257)------------------------------
% 0.15/0.39 % (29257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (29257)Termination reason: Unknown
% 0.15/0.39 % (29257)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (29257)Memory used [KB]: 1023
% 0.15/0.39 % (29257)Time elapsed: 0.003 s
% 0.15/0.39 % (29257)Instructions burned: 2 (million)
% 0.15/0.39 % (29257)------------------------------
% 0.15/0.39 % (29257)------------------------------
% 0.15/0.39 % (29255)Instruction limit reached!
% 0.15/0.39 % (29255)------------------------------
% 0.15/0.39 % (29255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (29255)Termination reason: Unknown
% 0.15/0.39 % (29255)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (29255)Memory used [KB]: 1023
% 0.15/0.39 % (29255)Time elapsed: 0.004 s
% 0.15/0.39 % (29255)Instructions burned: 4 (million)
% 0.15/0.39 % (29255)------------------------------
% 0.15/0.39 % (29255)------------------------------
% 0.22/0.39 % (29259)Refutation not found, incomplete strategy
% 0.22/0.39 % (29259)------------------------------
% 0.22/0.39 % (29259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (29259)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (29259)Memory used [KB]: 5628
% 0.22/0.39 % (29259)Time elapsed: 0.008 s
% 0.22/0.39 % (29259)Instructions burned: 9 (million)
% 0.22/0.39 % (29259)------------------------------
% 0.22/0.39 % (29259)------------------------------
% 0.22/0.40 % (29260)Instruction limit reached!
% 0.22/0.40 % (29260)------------------------------
% 0.22/0.40 % (29260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (29260)Termination reason: Unknown
% 0.22/0.40 % (29260)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (29260)Memory used [KB]: 5628
% 0.22/0.40 % (29260)Time elapsed: 0.011 s
% 0.22/0.40 % (29260)Instructions burned: 18 (million)
% 0.22/0.40 % (29260)------------------------------
% 0.22/0.40 % (29260)------------------------------
% 0.22/0.40 % (29256)Instruction limit reached!
% 0.22/0.40 % (29256)------------------------------
% 0.22/0.40 % (29256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (29261)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 % (29256)Termination reason: Unknown
% 0.22/0.40 % (29256)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (29256)Memory used [KB]: 5756
% 0.22/0.40 % (29256)Time elapsed: 0.015 s
% 0.22/0.40 % (29256)Instructions burned: 27 (million)
% 0.22/0.40 % (29256)------------------------------
% 0.22/0.40 % (29256)------------------------------
% 0.22/0.40 % (29261)Instruction limit reached!
% 0.22/0.40 % (29261)------------------------------
% 0.22/0.40 % (29261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (29261)Termination reason: Unknown
% 0.22/0.40 % (29261)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (29261)Memory used [KB]: 1023
% 0.22/0.40 % (29261)Time elapsed: 0.004 s
% 0.22/0.40 % (29261)Instructions burned: 4 (million)
% 0.22/0.40 % (29261)------------------------------
% 0.22/0.40 % (29261)------------------------------
% 0.22/0.40 % (29262)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 % (29263)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 % (29258)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)
% 0.22/0.41 % (29258)Instruction limit reached!
% 0.22/0.41 % (29258)------------------------------
% 0.22/0.41 % (29258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29258)Termination reason: Unknown
% 0.22/0.41 % (29258)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (29258)Memory used [KB]: 1023
% 0.22/0.41 % (29258)Time elapsed: 0.003 s
% 0.22/0.41 % (29258)Instructions burned: 2 (million)
% 0.22/0.41 % (29258)------------------------------
% 0.22/0.41 % (29258)------------------------------
% 0.22/0.41 % (29264)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 % (29264)Instruction limit reached!
% 0.22/0.41 % (29264)------------------------------
% 0.22/0.41 % (29264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29264)Termination reason: Unknown
% 0.22/0.41 % (29264)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (29264)Memory used [KB]: 1023
% 0.22/0.41 % (29264)Time elapsed: 0.004 s
% 0.22/0.41 % (29264)Instructions burned: 4 (million)
% 0.22/0.41 % (29264)------------------------------
% 0.22/0.41 % (29264)------------------------------
% 0.22/0.41 % (29265)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 % (29266)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (29267)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 % (29266)Instruction limit reached!
% 0.22/0.42 % (29266)------------------------------
% 0.22/0.42 % (29266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29266)Termination reason: Unknown
% 0.22/0.42 % (29266)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (29266)Memory used [KB]: 1151
% 0.22/0.42 % (29266)Time elapsed: 0.006 s
% 0.22/0.42 % (29266)Instructions burned: 8 (million)
% 0.22/0.42 % (29266)------------------------------
% 0.22/0.42 % (29266)------------------------------
% 0.22/0.42 % (29262)Instruction limit reached!
% 0.22/0.42 % (29262)------------------------------
% 0.22/0.42 % (29262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29262)Termination reason: Unknown
% 0.22/0.42 % (29262)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (29262)Memory used [KB]: 5884
% 0.22/0.42 % (29262)Time elapsed: 0.020 s
% 0.22/0.42 % (29262)Instructions burned: 37 (million)
% 0.22/0.42 % (29262)------------------------------
% 0.22/0.42 % (29262)------------------------------
% 0.22/0.42 % (29268)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 % (29267)Instruction limit reached!
% 0.22/0.42 % (29267)------------------------------
% 0.22/0.42 % (29267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29267)Termination reason: Unknown
% 0.22/0.42 % (29267)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (29267)Memory used [KB]: 1151
% 0.22/0.42 % (29267)Time elapsed: 0.010 s
% 0.22/0.42 % (29263)Instruction limit reached!
% 0.22/0.42 % (29263)------------------------------
% 0.22/0.42 % (29263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29263)Termination reason: Unknown
% 0.22/0.42 % (29263)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (29263)Memory used [KB]: 1151
% 0.22/0.42 % (29263)Time elapsed: 0.011 s
% 0.22/0.42 % (29263)Instructions burned: 16 (million)
% 0.22/0.42 % (29263)------------------------------
% 0.22/0.42 % (29263)------------------------------
% 0.22/0.42 % (29267)Instructions burned: 17 (million)
% 0.22/0.42 % (29267)------------------------------
% 0.22/0.42 % (29267)------------------------------
% 0.22/0.42 % (29268)Instruction limit reached!
% 0.22/0.42 % (29268)------------------------------
% 0.22/0.42 % (29268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29268)Termination reason: Unknown
% 0.22/0.42 % (29268)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (29268)Memory used [KB]: 1023
% 0.22/0.42 % (29268)Time elapsed: 0.004 s
% 0.22/0.42 % (29268)Instructions burned: 4 (million)
% 0.22/0.42 % (29268)------------------------------
% 0.22/0.42 % (29268)------------------------------
% 0.22/0.42 % (29269)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 % (29269)Instruction limit reached!
% 0.22/0.43 % (29269)------------------------------
% 0.22/0.43 % (29269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (29269)Termination reason: Unknown
% 0.22/0.43 % (29269)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (29269)Memory used [KB]: 1023
% 0.22/0.43 % (29269)Time elapsed: 0.004 s
% 0.22/0.43 % (29269)Instructions burned: 4 (million)
% 0.22/0.43 % (29269)------------------------------
% 0.22/0.43 % (29269)------------------------------
% 0.22/0.43 % (29271)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)
% 0.22/0.43 % (29270)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 % (29271)Instruction limit reached!
% 0.22/0.44 % (29271)------------------------------
% 0.22/0.44 % (29271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29271)Termination reason: Unknown
% 0.22/0.44 % (29271)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (29271)Memory used [KB]: 1023
% 0.22/0.44 % (29271)Time elapsed: 0.004 s
% 0.22/0.44 % (29271)Instructions burned: 4 (million)
% 0.22/0.44 % (29271)------------------------------
% 0.22/0.44 % (29271)------------------------------
% 0.22/0.44 % (29270)Instruction limit reached!
% 0.22/0.44 % (29270)------------------------------
% 0.22/0.44 % (29270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29272)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (29270)Termination reason: Unknown
% 0.22/0.44 % (29270)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (29270)Memory used [KB]: 1151
% 0.22/0.44 % (29270)Time elapsed: 0.005 s
% 0.22/0.44 % (29270)Instructions burned: 7 (million)
% 0.22/0.44 % (29270)------------------------------
% 0.22/0.44 % (29270)------------------------------
% 0.22/0.44 % (29274)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.44 % (29272)Instruction limit reached!
% 0.22/0.44 % (29272)------------------------------
% 0.22/0.44 % (29272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29272)Termination reason: Unknown
% 0.22/0.44 % (29272)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (29272)Memory used [KB]: 1023
% 0.22/0.44 % (29272)Time elapsed: 0.004 s
% 0.22/0.44 % (29272)Instructions burned: 4 (million)
% 0.22/0.44 % (29272)------------------------------
% 0.22/0.44 % (29272)------------------------------
% 0.22/0.44 % (29275)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (29273)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)
% 0.22/0.44 % (29274)Refutation not found, incomplete strategy
% 0.22/0.44 % (29274)------------------------------
% 0.22/0.44 % (29274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29274)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (29274)Memory used [KB]: 5628
% 0.22/0.44 % (29274)Time elapsed: 0.007 s
% 0.22/0.44 % (29274)Instructions burned: 9 (million)
% 0.22/0.44 % (29274)------------------------------
% 0.22/0.44 % (29274)------------------------------
% 0.22/0.44 % (29275)Instruction limit reached!
% 0.22/0.44 % (29275)------------------------------
% 0.22/0.44 % (29275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29275)Termination reason: Unknown
% 0.22/0.44 % (29275)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (29275)Memory used [KB]: 1151
% 0.22/0.44 % (29275)Time elapsed: 0.006 s
% 0.22/0.44 % (29275)Instructions burned: 7 (million)
% 0.22/0.44 % (29275)------------------------------
% 0.22/0.44 % (29275)------------------------------
% 0.22/0.45 % (29276)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)
% 0.22/0.45 % (29273)Instruction limit reached!
% 0.22/0.45 % (29273)------------------------------
% 0.22/0.45 % (29273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (29273)Termination reason: Unknown
% 0.22/0.45 % (29273)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (29273)Memory used [KB]: 5628
% 0.22/0.45 % (29273)Time elapsed: 0.011 s
% 0.22/0.45 % (29273)Instructions burned: 19 (million)
% 0.22/0.45 % (29273)------------------------------
% 0.22/0.45 % (29273)------------------------------
% 0.22/0.45 % (29277)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)
% 0.22/0.45 % (29278)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.46 % (29278)Instruction limit reached!
% 0.22/0.46 % (29278)------------------------------
% 0.22/0.46 % (29278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29278)Termination reason: Unknown
% 0.22/0.46 % (29278)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (29278)Memory used [KB]: 1151
% 0.22/0.46 % (29278)Time elapsed: 0.005 s
% 0.22/0.46 % (29278)Instructions burned: 6 (million)
% 0.22/0.46 % (29278)------------------------------
% 0.22/0.46 % (29278)------------------------------
% 0.22/0.46 % (29276)Refutation not found, incomplete strategy
% 0.22/0.46 % (29276)------------------------------
% 0.22/0.46 % (29276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29276)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (29276)Memory used [KB]: 5628
% 0.22/0.46 % (29276)Time elapsed: 0.009 s
% 0.22/0.46 % (29276)Instructions burned: 13 (million)
% 0.22/0.46 % (29276)------------------------------
% 0.22/0.46 % (29276)------------------------------
% 0.22/0.46 % (29279)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)
% 0.22/0.46 % (29280)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (29279)Instruction limit reached!
% 0.22/0.46 % (29279)------------------------------
% 0.22/0.46 % (29279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29279)Termination reason: Unknown
% 0.22/0.46 % (29279)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (29279)Memory used [KB]: 1151
% 0.22/0.46 % (29279)Time elapsed: 0.005 s
% 0.22/0.46 % (29279)Instructions burned: 6 (million)
% 0.22/0.46 % (29279)------------------------------
% 0.22/0.46 % (29279)------------------------------
% 0.22/0.46 % (29277)Instruction limit reached!
% 0.22/0.46 % (29277)------------------------------
% 0.22/0.46 % (29277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29277)Termination reason: Unknown
% 0.22/0.46 % (29277)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (29277)Memory used [KB]: 5628
% 0.22/0.46 % (29277)Time elapsed: 0.013 s
% 0.22/0.46 % (29277)Instructions burned: 22 (million)
% 0.22/0.46 % (29277)------------------------------
% 0.22/0.46 % (29277)------------------------------
% 0.22/0.46 % (29281)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)
% 0.22/0.47 % (29282)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 (2999ds/19Mi)
% 0.22/0.47 % (29283)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.48 % (29284)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.48 % (29285)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.48 % (29282)Refutation not found, incomplete strategy
% 0.22/0.48 % (29282)------------------------------
% 0.22/0.48 % (29282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (29282)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (29282)Memory used [KB]: 5628
% 0.22/0.48 % (29282)Time elapsed: 0.007 s
% 0.22/0.48 % (29282)Instructions burned: 10 (million)
% 0.22/0.48 % (29282)------------------------------
% 0.22/0.48 % (29282)------------------------------
% 0.22/0.48 % (29285)Instruction limit reached!
% 0.22/0.48 % (29285)------------------------------
% 0.22/0.48 % (29285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (29285)Termination reason: Unknown
% 0.22/0.48 % (29285)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (29285)Memory used [KB]: 1023
% 0.22/0.48 % (29285)Time elapsed: 0.003 s
% 0.22/0.48 % (29285)Instructions burned: 3 (million)
% 0.22/0.48 % (29285)------------------------------
% 0.22/0.48 % (29285)------------------------------
% 0.22/0.48 % (29284)Instruction limit reached!
% 0.22/0.48 % (29284)------------------------------
% 0.22/0.48 % (29284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (29284)Termination reason: Unknown
% 0.22/0.48 % (29284)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (29284)Memory used [KB]: 5628
% 0.22/0.48 % (29284)Time elapsed: 0.010 s
% 0.22/0.48 % (29284)Instructions burned: 17 (million)
% 0.22/0.48 % (29284)------------------------------
% 0.22/0.48 % (29284)------------------------------
% 0.22/0.49 % (29287)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)
% 0.22/0.49 % (29254)Instruction limit reached!
% 0.22/0.49 % (29254)------------------------------
% 0.22/0.49 % (29254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (29254)Termination reason: Unknown
% 0.22/0.49 % (29254)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (29254)Memory used [KB]: 6908
% 0.22/0.49 % (29254)Time elapsed: 0.107 s
% 0.22/0.49 % (29254)Instructions burned: 183 (million)
% 0.22/0.49 % (29254)------------------------------
% 0.22/0.49 % (29254)------------------------------
% 0.22/0.49 % (29286)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.50 % (29288)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)
% 0.22/0.50 % (29289)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)
% 0.22/0.50 % (29289)Instruction limit reached!
% 0.22/0.50 % (29289)------------------------------
% 0.22/0.50 % (29289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (29289)Termination reason: Unknown
% 0.22/0.50 % (29289)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (29289)Memory used [KB]: 1023
% 0.22/0.50 % (29289)Time elapsed: 0.002 s
% 0.22/0.50 % (29289)Instructions burned: 3 (million)
% 0.22/0.50 % (29289)------------------------------
% 0.22/0.50 % (29289)------------------------------
% 0.22/0.50 % (29286)Instruction limit reached!
% 0.22/0.50 % (29286)------------------------------
% 0.22/0.50 % (29286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (29286)Termination reason: Unknown
% 0.22/0.50 % (29286)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (29286)Memory used [KB]: 5756
% 0.22/0.50 % (29286)Time elapsed: 0.012 s
% 0.22/0.50 % (29286)Instructions burned: 31 (million)
% 0.22/0.50 % (29286)------------------------------
% 0.22/0.50 % (29286)------------------------------
% 0.22/0.51 % (29290)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)
% 0.22/0.51 % (29291)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)
% 1.19/0.52 % (29290)Refutation not found, incomplete strategy
% 1.19/0.52 % (29290)------------------------------
% 1.19/0.52 % (29290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.19/0.52 % (29290)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52
% 1.19/0.52
% 1.19/0.52 % (29290)Memory used [KB]: 5628
% 1.19/0.52 % (29290)Time elapsed: 0.005 s
% 1.19/0.52 % (29290)Instructions burned: 10 (million)
% 1.19/0.52 % (29290)------------------------------
% 1.19/0.52 % (29290)------------------------------
% 1.19/0.52 % (29292)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)
% 1.19/0.53 % (29288)Instruction limit reached!
% 1.19/0.53 % (29288)------------------------------
% 1.19/0.53 % (29288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.19/0.53 % (29288)Termination reason: Unknown
% 1.19/0.53 % (29288)Termination phase: Saturation
% 1.19/0.53
% 1.19/0.53 % (29288)Memory used [KB]: 6268
% 1.19/0.53 % (29288)Time elapsed: 0.034 s
% 1.19/0.53 % (29288)Instructions burned: 103 (million)
% 1.19/0.53 % (29288)------------------------------
% 1.19/0.53 % (29288)------------------------------
% 1.19/0.53 % (29287)Instruction limit reached!
% 1.19/0.53 % (29287)------------------------------
% 1.19/0.53 % (29287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.19/0.53 % (29287)Termination reason: Unknown
% 1.19/0.53 % (29287)Termination phase: Saturation
% 1.19/0.53
% 1.19/0.53 % (29287)Memory used [KB]: 6268
% 1.19/0.53 % (29287)Time elapsed: 0.043 s
% 1.19/0.53 % (29287)Instructions burned: 127 (million)
% 1.19/0.53 % (29287)------------------------------
% 1.19/0.53 % (29287)------------------------------
% 1.33/0.54 % (29293)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)
% 1.33/0.54 % (29294)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)
% 1.33/0.55 % (29293)Instruction limit reached!
% 1.33/0.55 % (29293)------------------------------
% 1.33/0.55 % (29293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.55 % (29293)Termination reason: Unknown
% 1.33/0.55 % (29293)Termination phase: Saturation
% 1.33/0.55
% 1.33/0.55 % (29293)Memory used [KB]: 5884
% 1.33/0.55 % (29293)Time elapsed: 0.013 s
% 1.33/0.55 % (29293)Instructions burned: 39 (million)
% 1.33/0.55 % (29293)------------------------------
% 1.33/0.55 % (29293)------------------------------
% 1.33/0.56 % (29295)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.33/0.56 % (29291)Instruction limit reached!
% 1.33/0.56 % (29291)------------------------------
% 1.33/0.56 % (29291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.56 % (29291)Termination reason: Unknown
% 1.33/0.56 % (29291)Termination phase: Saturation
% 1.33/0.56
% 1.33/0.56 % (29291)Memory used [KB]: 6140
% 1.33/0.56 % (29291)Time elapsed: 0.047 s
% 1.33/0.56 % (29291)Instructions burned: 86 (million)
% 1.33/0.56 % (29291)------------------------------
% 1.33/0.56 % (29291)------------------------------
% 1.33/0.56 % (29292)Instruction limit reached!
% 1.33/0.56 % (29292)------------------------------
% 1.33/0.56 % (29292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.56 % (29292)Termination reason: Unknown
% 1.33/0.56 % (29292)Termination phase: Saturation
% 1.33/0.56
% 1.33/0.56 % (29292)Memory used [KB]: 6268
% 1.33/0.56 % (29292)Time elapsed: 0.036 s
% 1.33/0.56 % (29292)Instructions burned: 108 (million)
% 1.33/0.56 % (29292)------------------------------
% 1.33/0.56 % (29292)------------------------------
% 1.33/0.57 % (29297)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.33/0.57 % (29296)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.33/0.57 % (29295)Instruction limit reached!
% 1.33/0.57 % (29295)------------------------------
% 1.33/0.57 % (29295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.57 % (29295)Termination reason: Unknown
% 1.33/0.57 % (29295)Termination phase: Saturation
% 1.33/0.57
% 1.33/0.57 % (29295)Memory used [KB]: 5756
% 1.33/0.57 % (29295)Time elapsed: 0.018 s
% 1.33/0.57 % (29295)Instructions burned: 47 (million)
% 1.33/0.57 % (29295)------------------------------
% 1.33/0.57 % (29295)------------------------------
% 1.33/0.58 % (29297)Refutation not found, incomplete strategy
% 1.33/0.58 % (29297)------------------------------
% 1.33/0.58 % (29297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.58 % (29297)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.58
% 1.33/0.58
% 1.33/0.58 % (29297)Memory used [KB]: 5884
% 1.33/0.58 % (29297)Time elapsed: 0.010 s
% 1.33/0.58 % (29297)Instructions burned: 30 (million)
% 1.33/0.58 % (29297)------------------------------
% 1.33/0.58 % (29297)------------------------------
% 1.33/0.58 % (29298)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 1.33/0.58 % (29280)First to succeed.
% 1.33/0.59 % (29299)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.33/0.59 % (29280)Refutation found. Thanks to Tanya!
% 1.33/0.59 % SZS status Theorem for theBenchmark
% 1.33/0.59 % SZS output start Proof for theBenchmark
% 1.33/0.59 thf(type_def_5, type, mu: $tType).
% 1.33/0.59 thf(func_def_0, type, mu: $tType).
% 1.33/0.59 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.33/0.59 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_15, type, mtrue: $i > $o).
% 1.33/0.59 thf(func_def_16, type, mfalse: $i > $o).
% 1.33/0.59 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.33/0.59 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.33/0.59 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 1.33/0.59 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 1.33/0.59 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.33/0.59 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.33/0.59 thf(func_def_33, type, a1: $i > $i > $o).
% 1.33/0.59 thf(func_def_34, type, a2: $i > $i > $o).
% 1.33/0.59 thf(func_def_35, type, a3: $i > $i > $o).
% 1.33/0.59 thf(func_def_36, type, jan: mu).
% 1.33/0.59 thf(func_def_37, type, piotr: mu).
% 1.33/0.59 thf(func_def_38, type, cola: mu).
% 1.33/0.59 thf(func_def_39, type, pepsi: mu).
% 1.33/0.59 thf(func_def_40, type, beer: mu).
% 1.33/0.59 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 1.33/0.59 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 1.33/0.59 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 1.33/0.59 thf(func_def_60, type, sK1: $i > $i).
% 1.33/0.59 thf(func_def_62, type, sK3: mu > $i > mu > $i).
% 1.33/0.59 thf(func_def_63, type, sK4: mu > $i > mu > $i).
% 1.33/0.59 thf(func_def_64, type, sK5: mu > $i > mu > $i).
% 1.33/0.59 thf(func_def_65, type, sK6: mu > $i > mu > $i).
% 1.33/0.59 thf(func_def_66, type, sK7: $i > $i).
% 1.33/0.59 thf(f1268,plain,(
% 1.33/0.59 $false),
% 1.33/0.59 inference(avatar_sat_refutation,[],[f1087,f1267])).
% 1.33/0.59 thf(f1267,plain,(
% 1.33/0.59 spl0_2 | spl0_2 | spl0_2 | spl0_2 | spl0_2 | spl0_2 | spl0_2),
% 1.33/0.59 inference(avatar_split_clause,[],[f1262,f1077,f1077,f1077,f1077,f1077,f1077,f1077])).
% 1.33/0.59 thf(f1077,plain,(
% 1.33/0.59 spl0_2 <=> ! [X6] : ((a3 @ X6 @ (sK7 @ sK2)) = $false)),
% 1.33/0.59 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.33/0.59 thf(f1262,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X1 @ (sK7 @ sK2))) | ($false = (a3 @ X2 @ (sK7 @ sK2))) | ((a3 @ X6 @ (sK7 @ sK2)) = $false) | ($false = (a3 @ X4 @ (sK7 @ sK2))) | ($false = (a3 @ X3 @ (sK7 @ sK2))) | ((a3 @ X5 @ (sK7 @ sK2)) = $false) | ($false = (a3 @ X0 @ (sK7 @ sK2)))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f1243])).
% 1.33/0.59 thf(f1243,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X4 @ (sK7 @ sK2))) | ($false = (a3 @ X3 @ (sK7 @ sK2))) | ($false = (a3 @ X0 @ (sK7 @ sK2))) | ((a3 @ X6 @ (sK7 @ sK2)) = $false) | ($false = (a3 @ X2 @ (sK7 @ sK2))) | ((a3 @ X5 @ (sK7 @ sK2)) = $false) | ($false = (a3 @ X1 @ (sK7 @ sK2))) | ($false = $true)) )),
% 1.33/0.59 inference(superposition,[],[f1234,f457])).
% 1.33/0.59 thf(f457,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((a3 @ X1 @ (sK7 @ X1)) = $true)) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f454])).
% 1.33/0.59 thf(f454,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($false = (~ (a3 @ X1 @ (sK7 @ X1))))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f453])).
% 1.33/0.59 thf(f453,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($false = ((~ (likes @ piotr @ pepsi @ (sK7 @ X1))) | (~ (a3 @ X1 @ (sK7 @ X1)))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f452])).
% 1.33/0.59 thf(f452,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ (sK7 @ X1)))) )),
% 1.33/0.59 inference(sigma_clausification,[],[f451])).
% 1.33/0.59 thf(f451,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0))))))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f450])).
% 1.33/0.59 thf(f450,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f449])).
% 1.33/0.59 thf(f449,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1))))))) @ X1))) )),
% 1.33/0.59 inference(pi_clausification,[],[f448])).
% 1.33/0.59 thf(f448,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1)))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f223])).
% 1.33/0.59 thf(f223,plain,(
% 1.33/0.59 (((^[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)))))) @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 1.33/0.59 inference(definition_unfolding,[],[f189,f165,f208])).
% 1.33/0.59 thf(f208,plain,(
% 1.33/0.59 (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)))))))),
% 1.33/0.59 inference(definition_unfolding,[],[f153,f152,f173,f152])).
% 1.33/0.59 thf(f173,plain,(
% 1.33/0.59 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f130])).
% 1.33/0.59 thf(f130,plain,(
% 1.33/0.59 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.33/0.59 inference(fool_elimination,[],[f129])).
% 1.33/0.59 thf(f129,plain,(
% 1.33/0.59 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 1.33/0.59 inference(rectify,[],[f16])).
% 1.33/0.59 thf(f16,axiom,(
% 1.33/0.59 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 1.33/0.59 thf(f152,plain,(
% 1.33/0.59 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f103])).
% 1.33/0.59 thf(f103,plain,(
% 1.33/0.59 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.33/0.59 inference(fool_elimination,[],[f102])).
% 1.33/0.59 thf(f102,plain,(
% 1.33/0.59 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.33/0.59 inference(rectify,[],[f3])).
% 1.33/0.59 thf(f3,axiom,(
% 1.33/0.59 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 1.33/0.59 thf(f153,plain,(
% 1.33/0.59 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f62])).
% 1.33/0.59 thf(f62,plain,(
% 1.33/0.59 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.33/0.59 inference(fool_elimination,[],[f61])).
% 1.33/0.59 thf(f61,plain,(
% 1.33/0.59 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 1.33/0.59 inference(rectify,[],[f17])).
% 1.33/0.59 thf(f17,axiom,(
% 1.33/0.59 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 1.33/0.59 thf(f165,plain,(
% 1.33/0.59 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.33/0.59 inference(cnf_transformation,[],[f114])).
% 1.33/0.59 thf(f114,plain,(
% 1.33/0.59 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.33/0.59 inference(fool_elimination,[],[f113])).
% 1.33/0.59 thf(f113,plain,(
% 1.33/0.59 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 1.33/0.59 inference(rectify,[],[f28])).
% 1.33/0.59 thf(f28,axiom,(
% 1.33/0.59 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 1.33/0.59 thf(f189,plain,(
% 1.33/0.59 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f148])).
% 1.33/0.59 thf(f148,plain,(
% 1.33/0.59 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f147])).
% 1.33/0.59 thf(f147,plain,(
% 1.33/0.59 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 1.33/0.59 inference(rectify,[],[f42])).
% 1.33/0.59 thf(f42,axiom,(
% 1.33/0.59 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2)).
% 1.33/0.59 thf(f1234,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ sK2 @ X1)) | ($false = (a3 @ X6 @ X1)) | ($false = (a3 @ X5 @ X1)) | ($false = (a3 @ X2 @ X1)) | ($false = (a3 @ X7 @ X1)) | ($false = (a3 @ X0 @ X1)) | ($false = (a3 @ X4 @ X1)) | ($false = (a3 @ X3 @ X1))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f1221])).
% 1.33/0.59 thf(f1221,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X5 @ X1)) | ($false = (a3 @ sK2 @ X1)) | ($false = (a3 @ X3 @ X1)) | ($false = (a3 @ X6 @ X1)) | ($false = $true) | ($false = (a3 @ X7 @ X1)) | ($false = (a3 @ X4 @ X1)) | ($false = (a3 @ X2 @ X1)) | ($false = (a3 @ X0 @ X1))) )),
% 1.33/0.59 inference(superposition,[],[f333,f999])).
% 1.33/0.59 thf(f999,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((likes @ jan @ cola @ X8) = $true) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X7 @ X0)) | ($false = (a3 @ X5 @ X0)) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X8 @ X0)) | ($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X1 @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f993])).
% 1.33/0.59 thf(f993,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X8 @ X0)) | ((likes @ jan @ cola @ X8) = $true) | ($false = $true) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X1 @ X0)) | ($false = (a3 @ X5 @ X0)) | ($false = (a3 @ X7 @ X0)) | ($false = (a3 @ X6 @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f981,f283])).
% 1.33/0.59 thf(f283,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (very_much_likes @ X2 @ X3 @ X4)) | ((likes @ X2 @ X3 @ X1) = $true) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f282])).
% 1.33/0.59 thf(f282,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (very_much_likes @ X2 @ X3 @ X4)) | ((likes @ X2 @ X3 @ X1) = $true) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f281])).
% 1.33/0.59 thf(f281,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (very_much_likes @ X2 @ X3 @ X4)) = $true) | ((likes @ X2 @ X3 @ X1) = $true) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f280])).
% 1.33/0.59 thf(f280,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X1) = $true) | (((~ (very_much_likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f279])).
% 1.33/0.59 thf(f279,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4)) | ((likes @ X2 @ X3 @ X1) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f278])).
% 1.33/0.59 thf(f278,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $true) | ((likes @ X2 @ X3 @ X1) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f277])).
% 1.33/0.59 thf(f277,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) | (likes @ X2 @ X3 @ X1)) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f276])).
% 1.33/0.59 thf(f276,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 1.33/0.59 inference(pi_clausification,[],[f275])).
% 1.33/0.59 thf(f275,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (likes @ X2 @ Y0 @ X1)))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f274])).
% 1.33/0.59 thf(f274,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (likes @ Y0 @ Y1 @ X1))))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f273])).
% 1.33/0.59 thf(f273,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (likes @ Y0 @ Y1 @ X1)))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f272])).
% 1.33/0.59 thf(f272,plain,(
% 1.33/0.59 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (likes @ Y1 @ Y2 @ Y0))))))) @ X1) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f271])).
% 1.33/0.59 thf(f271,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 1.33/0.59 inference(boolean_simplification,[],[f270])).
% 1.33/0.59 thf(f270,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))) | (likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f212])).
% 1.33/0.59 thf(f212,plain,(
% 1.33/0.59 ($true = ((^[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]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (likes @ Y0 @ Y1))))))))),
% 1.33/0.59 inference(definition_unfolding,[],[f167,f165,f170,f170,f201,f208])).
% 1.33/0.59 thf(f201,plain,(
% 1.33/0.59 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.33/0.59 inference(definition_unfolding,[],[f182,f160,f152])).
% 1.33/0.59 thf(f160,plain,(
% 1.33/0.59 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f96])).
% 1.33/0.59 thf(f96,plain,(
% 1.33/0.59 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.33/0.59 inference(fool_elimination,[],[f95])).
% 1.33/0.59 thf(f95,plain,(
% 1.33/0.59 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 1.33/0.59 inference(rectify,[],[f4])).
% 1.33/0.59 thf(f4,axiom,(
% 1.33/0.59 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 1.33/0.59 thf(f182,plain,(
% 1.33/0.59 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.33/0.59 inference(cnf_transformation,[],[f68])).
% 1.33/0.59 thf(f68,plain,(
% 1.33/0.59 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.33/0.59 inference(fool_elimination,[],[f67])).
% 1.33/0.59 thf(f67,plain,(
% 1.33/0.59 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 1.33/0.59 inference(rectify,[],[f6])).
% 1.33/0.59 thf(f6,axiom,(
% 1.33/0.59 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 1.33/0.59 thf(f170,plain,(
% 1.33/0.59 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f82])).
% 1.33/0.59 thf(f82,plain,(
% 1.33/0.59 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.33/0.59 inference(fool_elimination,[],[f81])).
% 1.33/0.59 thf(f81,plain,(
% 1.33/0.59 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 1.33/0.59 inference(rectify,[],[f10])).
% 1.33/0.59 thf(f10,axiom,(
% 1.33/0.59 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 1.33/0.59 thf(f167,plain,(
% 1.33/0.59 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (likes @ Y0 @ Y1))))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f66])).
% 1.33/0.59 thf(f66,plain,(
% 1.33/0.59 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (likes @ Y0 @ Y1))))))))),
% 1.33/0.59 inference(fool_elimination,[],[f65])).
% 1.33/0.59 thf(f65,plain,(
% 1.33/0.59 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (very_much_likes @ X0 @ X1)) @ (likes @ X0 @ X1)))))))),
% 1.33/0.59 inference(rectify,[],[f46])).
% 1.33/0.59 thf(f46,axiom,(
% 1.33/0.59 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (very_much_likes @ X0 @ X1)) @ (likes @ X0 @ X1)))))))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_2)).
% 1.33/0.59 thf(f981,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X1 @ X0)) | ($false = (a3 @ X5 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X7 @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f974])).
% 1.33/0.59 thf(f974,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X7 @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X1 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = $true) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X5 @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f422,f967])).
% 1.33/0.59 thf(f967,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X3 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X5 @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f966])).
% 1.33/0.59 thf(f966,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X3 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = $true) | ($false = (a3 @ X1 @ X0)) | ($false = (a3 @ X5 @ X0))) )),
% 1.33/0.59 inference(duplicate_literal_removal,[],[f963])).
% 1.33/0.59 thf(f963,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X5 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X3 @ X0)) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X6 @ X0)) | ($false = (a3 @ X1 @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f892,f960])).
% 1.33/0.59 thf(f960,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (a1 @ X2 @ (sK4 @ cola @ X0 @ jan))) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X5 @ X0)) | ($false = (a3 @ X1 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X3 @ X0)) | ($false = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f959])).
% 1.33/0.59 thf(f959,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X5 @ X0)) | ($false = (a3 @ X4 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X3 @ X0)) | ($false = (a1 @ X2 @ (sK4 @ cola @ X0 @ jan))) | ($false = (a3 @ X1 @ X0)) | ($false = $true)) )),
% 1.33/0.59 inference(duplicate_literal_removal,[],[f948])).
% 1.33/0.59 thf(f948,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = $true) | ($false = (a3 @ X1 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X5 @ X0)) | ($false = (a1 @ X2 @ (sK4 @ cola @ X0 @ jan))) | ($false = (likes @ jan @ cola @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f939,f899])).
% 1.33/0.59 thf(f899,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a2 @ X0 @ (sK5 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X3 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f898])).
% 1.33/0.59 thf(f898,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X3 @ X0)) | ($false = (a3 @ X1 @ X0)) | ((a2 @ X0 @ (sK5 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X2 @ X0)) | ($false = $true)) )),
% 1.33/0.59 inference(duplicate_literal_removal,[],[f894])).
% 1.33/0.59 thf(f894,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X3 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (likes @ jan @ cola @ X0)) | ((a2 @ X0 @ (sK5 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X1 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = $true)) )),
% 1.33/0.59 inference(superposition,[],[f892,f658])).
% 1.33/0.59 thf(f658,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X1 @ (sK4 @ cola @ X0 @ jan))) | ($false = (likes @ jan @ cola @ X0)) | ((a2 @ X0 @ (sK5 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X2 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true)) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f644])).
% 1.33/0.59 thf(f644,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a2 @ X0 @ (sK5 @ cola @ X0 @ jan)) = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = $true) | ($false = (a3 @ X2 @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a1 @ X1 @ (sK4 @ cola @ X0 @ jan)))) )),
% 1.33/0.59 inference(superposition,[],[f415,f391])).
% 1.33/0.59 thf(f391,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ($true = (a2 @ X4 @ (sK5 @ X3 @ X4 @ X2))) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f389])).
% 1.33/0.59 thf(f389,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ($false = (~ (a2 @ X4 @ (sK5 @ X3 @ X4 @ X2)))) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f388])).
% 1.33/0.59 thf(f388,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ($false = ((likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK5 @ X3 @ X4 @ X2))))) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f387])).
% 1.33/0.59 thf(f387,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))) @ (sK5 @ X3 @ X4 @ X2))) | ($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)))) )),
% 1.33/0.59 inference(sigma_clausification,[],[f386])).
% 1.33/0.59 thf(f386,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | ($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f384])).
% 1.33/0.59 thf(f384,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK4 @ X3 @ X4 @ X2))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f383])).
% 1.33/0.59 thf(f383,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ($false = ((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f382])).
% 1.33/0.59 thf(f382,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true) | ($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))) @ (sK4 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.33/0.59 inference(sigma_clausification,[],[f381])).
% 1.33/0.59 thf(f381,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true)) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f380])).
% 1.33/0.59 thf(f380,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f379])).
% 1.33/0.59 thf(f379,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f378])).
% 1.33/0.59 thf(f378,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (likes @ X2 @ X3 @ X4)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f377])).
% 1.33/0.59 thf(f377,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($true = ((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))))) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f376])).
% 1.33/0.59 thf(f376,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | (very_much_likes @ X2 @ X3 @ X4))) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f375])).
% 1.33/0.59 thf(f375,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a3 @ X1 @ X4))) | ($true = (((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | (very_much_likes @ X2 @ X3 @ X4)))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f374])).
% 1.33/0.59 thf(f374,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | (very_much_likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f373])).
% 1.33/0.59 thf(f373,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((((~ (likes @ X2 @ X3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))))) | (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4))) )),
% 1.33/0.59 inference(pi_clausification,[],[f372])).
% 1.33/0.59 thf(f372,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((((~ (likes @ X2 @ X3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))))) | (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f371])).
% 1.33/0.59 thf(f371,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((((~ (likes @ X2 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))))) | (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1)))))) @ X3) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f370])).
% 1.33/0.59 thf(f370,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((((~ (likes @ X2 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))))) | (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f369])).
% 1.33/0.59 thf(f369,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((((~ (likes @ Y0 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))))) | (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2)))))))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f368])).
% 1.33/0.59 thf(f368,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((((~ (likes @ Y0 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))))) | (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f367])).
% 1.33/0.59 thf(f367,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3)))))))))) @ X1))) )),
% 1.33/0.59 inference(pi_clausification,[],[f366])).
% 1.33/0.59 thf(f366,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)),
% 1.33/0.59 inference(boolean_simplification,[],[f365])).
% 1.33/0.59 thf(f365,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)),
% 1.33/0.59 inference(boolean_simplification,[],[f364])).
% 1.33/0.59 thf(f364,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((~ (~ ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f209])).
% 1.33/0.59 thf(f209,plain,(
% 1.33/0.59 ($true = ((^[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]: ((Y4 @ Y6) | (Y5 @ 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]: ((Y4 @ Y6) | (Y5 @ 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]: ((Y4 @ Y6) | (Y5 @ 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)))))))))),
% 1.33/0.59 inference(definition_unfolding,[],[f154,f165,f170,f170,f173,f201,f200,f200,f173,f173])).
% 1.33/0.59 thf(f200,plain,(
% 1.33/0.59 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 1.33/0.59 inference(definition_unfolding,[],[f150,f152,f160,f152,f152])).
% 1.33/0.59 thf(f150,plain,(
% 1.33/0.59 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f56])).
% 1.33/0.59 thf(f56,plain,(
% 1.33/0.59 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.33/0.59 inference(fool_elimination,[],[f55])).
% 1.33/0.59 thf(f55,plain,(
% 1.33/0.59 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 1.33/0.59 inference(rectify,[],[f5])).
% 1.33/0.59 thf(f5,axiom,(
% 1.33/0.59 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 1.33/0.59 thf(f154,plain,(
% 1.33/0.59 ((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)),
% 1.33/0.59 inference(cnf_transformation,[],[f122])).
% 1.33/0.59 thf(f122,plain,(
% 1.33/0.59 ((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)),
% 1.33/0.59 inference(fool_elimination,[],[f121])).
% 1.33/0.59 thf(f121,plain,(
% 1.33/0.59 (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))))))))),
% 1.33/0.59 inference(rectify,[],[f44])).
% 1.33/0.59 thf(f44,axiom,(
% 1.33/0.59 (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))))))))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_4)).
% 1.33/0.59 thf(f415,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($false = (a1 @ X1 @ X2))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f414])).
% 1.33/0.59 thf(f414,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ((~ (a1 @ X1 @ X2)) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f413])).
% 1.33/0.59 thf(f413,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a1 @ X1 @ X2))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f412])).
% 1.33/0.59 thf(f412,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f411])).
% 1.33/0.59 thf(f411,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f410])).
% 1.33/0.59 thf(f410,plain,(
% 1.33/0.59 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f409])).
% 1.33/0.59 thf(f409,plain,(
% 1.33/0.59 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))))),
% 1.33/0.59 inference(beta_eta_normalization,[],[f217])).
% 1.33/0.59 thf(f217,plain,(
% 1.33/0.59 (((^[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 @ jan @ cola))) = $true)),
% 1.33/0.59 inference(definition_unfolding,[],[f177,f165,f173])).
% 1.33/0.59 thf(f177,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f134])).
% 1.33/0.59 thf(f134,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f133])).
% 1.33/0.59 thf(f133,plain,(
% 1.33/0.59 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 1.33/0.59 inference(rectify,[],[f32])).
% 1.33/0.59 thf(f32,axiom,(
% 1.33/0.59 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1)).
% 1.33/0.59 thf(f939,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X0 @ (sK5 @ cola @ X1 @ jan))) | ((very_much_likes @ jan @ cola @ X1) = $true) | ($false = (a3 @ X2 @ X1)) | ($false = (a1 @ X3 @ (sK4 @ cola @ X1 @ jan))) | ($false = (likes @ jan @ cola @ X1))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f936])).
% 1.33/0.59 thf(f936,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ jan @ cola @ X1) = $true) | ($false = (a1 @ X3 @ (sK4 @ cola @ X1 @ jan))) | ($false = (a3 @ X2 @ X1)) | ($false = (a2 @ X0 @ (sK5 @ cola @ X1 @ jan))) | ($false != $false) | ($false = (likes @ jan @ cola @ X1))) )),
% 1.33/0.59 inference(equality_factoring,[],[f927])).
% 1.33/0.59 thf(f927,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a2 @ X3 @ (sK5 @ cola @ X0 @ jan))) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a1 @ X4 @ (sK4 @ cola @ X0 @ jan))) | ($false = (a2 @ X1 @ (sK5 @ cola @ X0 @ jan))) | ((very_much_likes @ jan @ cola @ X0) = $true)) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f920])).
% 1.33/0.59 thf(f920,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a2 @ X1 @ (sK5 @ cola @ X0 @ jan))) | ($false = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a1 @ X4 @ (sK4 @ cola @ X0 @ jan))) | ($false = (a2 @ X3 @ (sK5 @ cola @ X0 @ jan)))) )),
% 1.33/0.59 inference(superposition,[],[f773,f415])).
% 1.33/0.59 thf(f773,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (likes @ jan @ cola @ (sK4 @ cola @ X0 @ jan))) | ($false = (a2 @ X2 @ (sK5 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ X0)) | ($false = (likes @ jan @ cola @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a2 @ X1 @ (sK5 @ cola @ X0 @ jan)))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f764])).
% 1.33/0.59 thf(f764,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X2 @ (sK5 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ X0)) | ($false = (likes @ jan @ cola @ (sK4 @ cola @ X0 @ jan))) | ($false = $true) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a2 @ X1 @ (sK5 @ cola @ X0 @ jan))) | ($false = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f519,f390])).
% 1.33/0.59 thf(f390,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f388])).
% 1.33/0.59 thf(f519,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X0)) | ($false = (a2 @ X1 @ X0)) | ($false = (a2 @ X2 @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f510])).
% 1.33/0.59 thf(f510,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X2 @ X0)) | ($false = $true) | ($false = (a2 @ X1 @ X0)) | ($true = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f248,f408])).
% 1.33/0.59 thf(f408,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($false = (likes @ X2 @ pepsi @ X3)) | ((likes @ X2 @ cola @ X3) = $true) | ($false = (a2 @ X1 @ X3))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f407])).
% 1.33/0.59 thf(f407,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($false = (a2 @ X1 @ X3)) | ((likes @ X2 @ cola @ X3) = $true) | ((~ (likes @ X2 @ pepsi @ X3)) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f406])).
% 1.33/0.59 thf(f406,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((~ (likes @ X2 @ pepsi @ X3)) | (likes @ X2 @ cola @ X3)) = $true) | ($false = (a2 @ X1 @ X3))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f405])).
% 1.33/0.59 thf(f405,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (~ (a2 @ X1 @ X3))) | (((~ (likes @ X2 @ pepsi @ X3)) | (likes @ X2 @ cola @ X3)) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f404])).
% 1.33/0.59 thf(f404,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (((~ (likes @ X2 @ pepsi @ X3)) | (likes @ X2 @ cola @ X3)) | (~ (a2 @ X1 @ X3))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f403])).
% 1.33/0.59 thf(f403,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((~ (likes @ X2 @ pepsi @ Y0)) | (likes @ X2 @ cola @ Y0)) | (~ (a2 @ X1 @ Y0)))) @ X3))) )),
% 1.33/0.59 inference(pi_clausification,[],[f402])).
% 1.33/0.59 thf(f402,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((~ (likes @ X2 @ pepsi @ Y0)) | (likes @ X2 @ cola @ Y0)) | (~ (a2 @ X1 @ Y0))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f401])).
% 1.33/0.59 thf(f401,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((~ (likes @ Y0 @ pepsi @ Y1)) | (likes @ Y0 @ cola @ Y1)) | (~ (a2 @ X1 @ Y1)))))) @ X2))) )),
% 1.33/0.59 inference(pi_clausification,[],[f400])).
% 1.33/0.59 thf(f400,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((~ (likes @ Y0 @ pepsi @ Y1)) | (likes @ Y0 @ cola @ Y1)) | (~ (a2 @ X1 @ Y1))))))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f399])).
% 1.33/0.59 thf(f399,plain,(
% 1.33/0.59 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((~ (likes @ Y1 @ pepsi @ Y2)) | (likes @ Y1 @ cola @ Y2)) | (~ (a2 @ Y0 @ Y2)))))))) @ X1) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f398])).
% 1.33/0.59 thf(f398,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((~ (likes @ Y1 @ pepsi @ Y2)) | (likes @ Y1 @ cola @ Y2)) | (~ (a2 @ Y0 @ Y2))))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f218])).
% 1.33/0.59 thf(f218,plain,(
% 1.33/0.59 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ a2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)),
% 1.33/0.59 inference(definition_unfolding,[],[f178,f165,f170,f173,f201])).
% 1.33/0.59 thf(f178,plain,(
% 1.33/0.59 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f76])).
% 1.33/0.59 thf(f76,plain,(
% 1.33/0.59 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f75])).
% 1.33/0.59 thf(f75,plain,(
% 1.33/0.59 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))),
% 1.33/0.59 inference(rectify,[],[f39])).
% 1.33/0.59 thf(f39,axiom,(
% 1.33/0.59 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4)).
% 1.33/0.59 thf(f248,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ pepsi @ X2)) | ($false = (a2 @ X1 @ X2))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f247])).
% 1.33/0.59 thf(f247,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ pepsi @ X2)) | ((~ (a2 @ X1 @ X2)) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f246])).
% 1.33/0.59 thf(f246,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ jan @ pepsi @ X2) | (~ (a2 @ X1 @ X2))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f245])).
% 1.33/0.59 thf(f245,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f244])).
% 1.33/0.59 thf(f244,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0))))))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f243])).
% 1.33/0.59 thf(f243,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1)))))) @ X1))) )),
% 1.33/0.59 inference(pi_clausification,[],[f242])).
% 1.33/0.59 thf(f242,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f216])).
% 1.33/0.59 thf(f216,plain,(
% 1.33/0.59 ($true = ((^[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)))))))))) @ a2 @ (likes @ jan @ pepsi))))),
% 1.33/0.59 inference(definition_unfolding,[],[f174,f165,f173])).
% 1.33/0.59 thf(f174,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f80])).
% 1.33/0.59 thf(f80,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f79])).
% 1.33/0.59 thf(f79,plain,(
% 1.33/0.59 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 1.33/0.59 inference(rectify,[],[f36])).
% 1.33/0.59 thf(f36,axiom,(
% 1.33/0.59 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1)).
% 1.33/0.59 thf(f892,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X1 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f891])).
% 1.33/0.59 thf(f891,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (likes @ jan @ cola @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X2 @ X0)) | ($false = (a3 @ X1 @ X0)) | ($false = $true) | ((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true)) )),
% 1.33/0.59 inference(duplicate_literal_removal,[],[f886])).
% 1.33/0.59 thf(f886,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((very_much_likes @ jan @ cola @ X0) = $true) | ($false = $true) | ($false = (a3 @ X1 @ X0)) | ((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true) | ($false = (likes @ jan @ cola @ X0)) | ((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X2 @ X0)) | ($false = (likes @ jan @ cola @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f882,f397])).
% 1.33/0.59 thf(f397,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a2 @ X4 @ (sK6 @ X3 @ X4 @ X2)) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f395])).
% 1.33/0.59 thf(f395,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (~ (a2 @ X4 @ (sK6 @ X3 @ X4 @ X2)))) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f394])).
% 1.33/0.59 thf(f394,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = ((likes @ X2 @ X3 @ (sK6 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK6 @ X3 @ X4 @ X2))))) | ((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f393])).
% 1.33/0.59 thf(f393,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true) | ($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))) @ (sK6 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )),
% 1.33/0.59 inference(sigma_clausification,[],[f392])).
% 1.33/0.59 thf(f392,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4)) | ((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true)) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f385])).
% 1.33/0.59 thf(f385,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (~ (a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | ((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4))) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f384])).
% 1.33/0.59 thf(f882,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X0 @ (sK6 @ cola @ X1 @ jan))) | ((a1 @ X1 @ (sK4 @ cola @ X1 @ jan)) = $true) | ($false = (a3 @ X2 @ X1)) | ((very_much_likes @ jan @ cola @ X1) = $true) | ($false = (likes @ jan @ cola @ X1))) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f878])).
% 1.33/0.59 thf(f878,plain,(
% 1.33/0.59 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (likes @ jan @ cola @ X1)) | ((very_much_likes @ jan @ cola @ X1) = $true) | ($false != $false) | ((a1 @ X1 @ (sK4 @ cola @ X1 @ jan)) = $true) | ($false = (a3 @ X2 @ X1)) | ($false = (a2 @ X0 @ (sK6 @ cola @ X1 @ jan)))) )),
% 1.33/0.59 inference(equality_factoring,[],[f721])).
% 1.33/0.59 thf(f721,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X2 @ (sK6 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ X0)) | ($false = (a2 @ X1 @ (sK6 @ cola @ X0 @ jan))) | ($false = (likes @ jan @ cola @ X0)) | ((very_much_likes @ jan @ cola @ X0) = $true) | ((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true)) )),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f696])).
% 1.33/0.59 thf(f696,plain,(
% 1.33/0.59 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X2 @ (sK6 @ cola @ X0 @ jan))) | ((a1 @ X0 @ (sK4 @ cola @ X0 @ jan)) = $true) | ($false = (likes @ jan @ cola @ X0)) | ($false = (a2 @ X1 @ (sK6 @ cola @ X0 @ jan))) | ($false = $true) | ((very_much_likes @ jan @ cola @ X0) = $true) | ($false = (a3 @ X3 @ X0))) )),
% 1.33/0.59 inference(superposition,[],[f519,f396])).
% 1.33/0.59 thf(f396,plain,(
% 1.33/0.59 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK6 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((a1 @ X4 @ (sK4 @ X3 @ X4 @ X2)) = $true) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f394])).
% 1.33/0.59 thf(f422,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($false = (a3 @ X1 @ X2))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f421])).
% 1.33/0.59 thf(f421,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ((~ (a3 @ X1 @ X2)) = $true)) )),
% 1.33/0.59 inference(binary_proxy_clausification,[],[f420])).
% 1.33/0.59 thf(f420,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a3 @ X1 @ X2))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f419])).
% 1.33/0.59 thf(f419,plain,(
% 1.33/0.59 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f418])).
% 1.33/0.59 thf(f418,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0))))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f417])).
% 1.33/0.59 thf(f417,plain,(
% 1.33/0.59 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1)))))) @ X1))) )),
% 1.33/0.59 inference(pi_clausification,[],[f416])).
% 1.33/0.59 thf(f416,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1))))))) = $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f211])).
% 1.33/0.59 thf(f211,plain,(
% 1.33/0.59 ($true = ((^[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)))))))))) @ a3 @ (likes @ jan @ cola))))),
% 1.33/0.59 inference(definition_unfolding,[],[f157,f165,f173])).
% 1.33/0.59 thf(f157,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f112])).
% 1.33/0.59 thf(f112,plain,(
% 1.33/0.59 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f111])).
% 1.33/0.59 thf(f111,plain,(
% 1.33/0.59 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 1.33/0.59 inference(rectify,[],[f41])).
% 1.33/0.59 thf(f41,axiom,(
% 1.33/0.59 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1)).
% 1.33/0.59 thf(f333,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : mu] : (($false = (likes @ X1 @ X2 @ sK2))) )),
% 1.33/0.59 inference(not_proxy_clausification,[],[f332])).
% 1.33/0.59 thf(f332,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : mu] : (($true = (~ (likes @ X1 @ X2 @ sK2)))) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f331])).
% 1.33/0.59 thf(f331,plain,(
% 1.33/0.59 ( ! [X2 : mu,X1 : mu] : ((((^[Y0 : mu]: (~ (likes @ X1 @ Y0 @ sK2))) @ X2) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f330])).
% 1.33/0.59 thf(f330,plain,(
% 1.33/0.59 ( ! [X1 : mu] : (((!! @ mu @ (^[Y0 : mu]: (~ (likes @ X1 @ Y0 @ sK2)))) = $true)) )),
% 1.33/0.59 inference(beta_eta_normalization,[],[f329])).
% 1.33/0.59 thf(f329,plain,(
% 1.33/0.59 ( ! [X1 : mu] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (likes @ Y0 @ Y1 @ sK2))))) @ X1) = $true)) )),
% 1.33/0.59 inference(pi_clausification,[],[f328])).
% 1.33/0.59 thf(f328,plain,(
% 1.33/0.59 ((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (likes @ Y0 @ Y1 @ sK2)))))) = $true)),
% 1.33/0.59 inference(not_proxy_clausification,[],[f327])).
% 1.33/0.59 thf(f327,plain,(
% 1.33/0.59 ($false = (~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (likes @ Y0 @ Y1 @ sK2))))))))),
% 1.33/0.59 inference(beta_eta_normalization,[],[f326])).
% 1.33/0.59 thf(f326,plain,(
% 1.33/0.59 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (likes @ Y1 @ Y2 @ Y0)))))))) @ sK2) = $false)),
% 1.33/0.59 inference(sigma_clausification,[],[f325])).
% 1.33/0.59 thf(f325,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (likes @ Y1 @ Y2 @ Y0))))))))) != $true)),
% 1.33/0.59 inference(boolean_simplification,[],[f324])).
% 1.33/0.59 thf(f324,plain,(
% 1.33/0.59 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (likes @ Y1 @ Y2 @ Y0))))))))))) != $true)),
% 1.33/0.59 inference(beta_eta_normalization,[],[f226])).
% 1.33/0.59 thf(f226,plain,(
% 1.33/0.59 (((^[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]: (likes @ Y0 @ Y1)))))) != $true)),
% 1.33/0.59 inference(definition_unfolding,[],[f195,f165,f205,f205])).
% 1.33/0.59 thf(f205,plain,(
% 1.33/0.59 (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)))))))),
% 1.33/0.59 inference(definition_unfolding,[],[f158,f152,f170,f152])).
% 1.33/0.59 thf(f158,plain,(
% 1.33/0.59 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 1.33/0.59 inference(cnf_transformation,[],[f107])).
% 1.33/0.59 thf(f107,plain,(
% 1.33/0.59 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 1.33/0.59 inference(fool_elimination,[],[f106])).
% 1.33/0.59 thf(f106,plain,(
% 1.33/0.59 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 1.33/0.59 inference(rectify,[],[f12])).
% 1.33/0.59 thf(f12,axiom,(
% 1.33/0.59 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)).
% 1.33/0.59 thf(f195,plain,(
% 1.33/0.59 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (likes @ Y0 @ Y1)))))) != $true)),
% 1.33/0.59 inference(cnf_transformation,[],[f149])).
% 1.33/0.59 thf(f149,plain,(
% 1.33/0.59 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (likes @ Y0 @ Y1)))))) != $true)),
% 1.33/0.59 inference(flattening,[],[f98])).
% 1.33/0.59 thf(f98,plain,(
% 1.33/0.59 ~((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (likes @ Y0 @ Y1)))))) = $true)),
% 1.33/0.59 inference(fool_elimination,[],[f97])).
% 1.33/0.59 thf(f97,plain,(
% 1.33/0.59 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (likes @ X0 @ X1))))))),
% 1.33/0.59 inference(rectify,[],[f51])).
% 1.33/0.59 thf(f51,negated_conjecture,(
% 1.33/0.59 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (likes @ X0 @ X1))))))),
% 1.33/0.59 inference(negated_conjecture,[],[f50])).
% 1.33/0.59 thf(f50,conjecture,(
% 1.33/0.59 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (likes @ X0 @ X1))))))),
% 1.33/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 1.33/0.59 thf(f1087,plain,(
% 1.33/0.59 ~spl0_2),
% 1.33/0.59 inference(avatar_contradiction_clause,[],[f1086])).
% 1.33/0.59 thf(f1086,plain,(
% 1.33/0.59 $false | ~spl0_2),
% 1.33/0.59 inference(trivial_inequality_removal,[],[f1082])).
% 1.33/0.59 thf(f1082,plain,(
% 1.33/0.59 ($false = $true) | ~spl0_2),
% 1.33/0.59 inference(superposition,[],[f1078,f457])).
% 1.33/0.59 thf(f1078,plain,(
% 1.33/0.59 ( ! [X6 : $i] : (((a3 @ X6 @ (sK7 @ sK2)) = $false)) ) | ~spl0_2),
% 1.33/0.59 inference(avatar_component_clause,[],[f1077])).
% 1.33/0.59 % SZS output end Proof for theBenchmark
% 1.33/0.59 % (29280)------------------------------
% 1.33/0.59 % (29280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.59 % (29280)Termination reason: Refutation
% 1.33/0.59
% 1.33/0.59 % (29280)Memory used [KB]: 6652
% 1.33/0.59 % (29280)Time elapsed: 0.133 s
% 1.33/0.59 % (29280)Instructions burned: 329 (million)
% 1.33/0.59 % (29280)------------------------------
% 1.33/0.59 % (29280)------------------------------
% 1.33/0.59 % (29253)Success in time 0.215 s
% 1.33/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------