TSTP Solution File: AGT035^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT035^2 : 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 : n006.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 17:58:49 EDT 2024
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT035^2 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 18:50:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.36 % (16036)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (16037)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)
% 0.14/0.37 % (16038)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)
% 0.14/0.37 % (16040)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)
% 0.14/0.37 % (16039)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (16041)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)
% 0.14/0.37 % (16042)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (16043)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)
% 0.14/0.37 % (16039)Instruction limit reached!
% 0.14/0.37 % (16039)------------------------------
% 0.14/0.37 % (16039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (16039)Termination reason: Unknown
% 0.14/0.37 % (16040)Instruction limit reached!
% 0.14/0.37 % (16040)------------------------------
% 0.14/0.37 % (16040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (16039)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (16039)Memory used [KB]: 1023
% 0.14/0.37 % (16039)Time elapsed: 0.004 s
% 0.14/0.37 % (16039)Instructions burned: 3 (million)
% 0.14/0.37 % (16039)------------------------------
% 0.14/0.37 % (16039)------------------------------
% 0.14/0.37 % (16040)Termination reason: Unknown
% 0.14/0.37 % (16040)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (16040)Memory used [KB]: 1023
% 0.14/0.37 % (16040)Time elapsed: 0.004 s
% 0.14/0.37 % (16040)Instructions burned: 3 (million)
% 0.14/0.37 % (16040)------------------------------
% 0.14/0.37 % (16040)------------------------------
% 0.14/0.37 % (16043)Instruction limit reached!
% 0.14/0.37 % (16043)------------------------------
% 0.14/0.37 % (16043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (16043)Termination reason: Unknown
% 0.14/0.37 % (16043)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (16043)Memory used [KB]: 1023
% 0.14/0.37 % (16043)Time elapsed: 0.004 s
% 0.14/0.37 % (16043)Instructions burned: 3 (million)
% 0.14/0.37 % (16043)------------------------------
% 0.14/0.37 % (16043)------------------------------
% 0.14/0.37 % (16037)Instruction limit reached!
% 0.14/0.37 % (16037)------------------------------
% 0.14/0.37 % (16037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (16037)Termination reason: Unknown
% 0.14/0.37 % (16037)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (16037)Memory used [KB]: 1023
% 0.14/0.37 % (16037)Time elapsed: 0.005 s
% 0.14/0.37 % (16037)Instructions burned: 5 (million)
% 0.14/0.37 % (16037)------------------------------
% 0.14/0.37 % (16037)------------------------------
% 0.14/0.38 % (16041)Refutation not found, incomplete strategy
% 0.14/0.38 % (16041)------------------------------
% 0.14/0.38 % (16041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16041)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (16041)Memory used [KB]: 5628
% 0.14/0.38 % (16041)Time elapsed: 0.008 s
% 0.14/0.38 % (16041)Instructions burned: 10 (million)
% 0.14/0.38 % (16041)------------------------------
% 0.14/0.38 % (16041)------------------------------
% 0.14/0.38 % (16042)Instruction limit reached!
% 0.14/0.38 % (16042)------------------------------
% 0.14/0.38 % (16042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16042)Termination reason: Unknown
% 0.14/0.38 % (16042)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (16042)Memory used [KB]: 5628
% 0.14/0.38 % (16042)Time elapsed: 0.011 s
% 0.14/0.38 % (16042)Instructions burned: 19 (million)
% 0.14/0.38 % (16042)------------------------------
% 0.14/0.38 % (16042)------------------------------
% 0.14/0.38 % (16038)Instruction limit reached!
% 0.14/0.38 % (16038)------------------------------
% 0.14/0.38 % (16038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16038)Termination reason: Unknown
% 0.14/0.38 % (16038)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (16038)Memory used [KB]: 5756
% 0.14/0.38 % (16038)Time elapsed: 0.016 s
% 0.14/0.38 % (16038)Instructions burned: 28 (million)
% 0.14/0.38 % (16038)------------------------------
% 0.14/0.38 % (16038)------------------------------
% 0.14/0.39 % (16044)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)
% 0.14/0.39 % (16045)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)
% 0.14/0.39 % (16046)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)
% 0.14/0.39 % (16047)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)
% 0.14/0.39 % (16046)Instruction limit reached!
% 0.14/0.39 % (16046)------------------------------
% 0.14/0.39 % (16046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (16046)Termination reason: Unknown
% 0.14/0.39 % (16046)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (16046)Memory used [KB]: 1023
% 0.14/0.39 % (16046)Time elapsed: 0.004 s
% 0.14/0.39 % (16046)Instructions burned: 4 (million)
% 0.14/0.39 % (16046)------------------------------
% 0.14/0.39 % (16046)------------------------------
% 0.21/0.39 % (16048)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (16045)Instruction limit reached!
% 0.21/0.40 % (16045)------------------------------
% 0.21/0.40 % (16045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16045)Termination reason: Unknown
% 0.21/0.40 % (16045)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (16045)Memory used [KB]: 1151
% 0.21/0.40 % (16045)Time elapsed: 0.010 s
% 0.21/0.40 % (16045)Instructions burned: 17 (million)
% 0.21/0.40 % (16045)------------------------------
% 0.21/0.40 % (16045)------------------------------
% 0.21/0.40 % (16049)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (16048)Instruction limit reached!
% 0.21/0.40 % (16048)------------------------------
% 0.21/0.40 % (16048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16048)Termination reason: Unknown
% 0.21/0.40 % (16048)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (16048)Memory used [KB]: 1023
% 0.21/0.40 % (16048)Time elapsed: 0.006 s
% 0.21/0.40 % (16048)Instructions burned: 8 (million)
% 0.21/0.40 % (16048)------------------------------
% 0.21/0.40 % (16048)------------------------------
% 0.21/0.40 % (16050)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (16050)Instruction limit reached!
% 0.21/0.40 % (16050)------------------------------
% 0.21/0.40 % (16050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16050)Termination reason: Unknown
% 0.21/0.40 % (16050)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (16050)Memory used [KB]: 1023
% 0.21/0.40 % (16050)Time elapsed: 0.004 s
% 0.21/0.40 % (16050)Instructions burned: 3 (million)
% 0.21/0.40 % (16050)------------------------------
% 0.21/0.40 % (16050)------------------------------
% 0.21/0.40 % (16049)Instruction limit reached!
% 0.21/0.40 % (16049)------------------------------
% 0.21/0.40 % (16049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16049)Termination reason: Unknown
% 0.21/0.40 % (16049)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (16049)Memory used [KB]: 1151
% 0.21/0.40 % (16049)Time elapsed: 0.010 s
% 0.21/0.40 % (16049)Instructions burned: 16 (million)
% 0.21/0.40 % (16049)------------------------------
% 0.21/0.40 % (16049)------------------------------
% 0.21/0.40 % (16051)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (16044)Instruction limit reached!
% 0.21/0.41 % (16044)------------------------------
% 0.21/0.41 % (16044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16044)Termination reason: Unknown
% 0.21/0.41 % (16044)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (16044)Memory used [KB]: 5884
% 0.21/0.41 % (16044)Time elapsed: 0.020 s
% 0.21/0.41 % (16044)Instructions burned: 37 (million)
% 0.21/0.41 % (16044)------------------------------
% 0.21/0.41 % (16044)------------------------------
% 0.21/0.41 % (16051)Instruction limit reached!
% 0.21/0.41 % (16051)------------------------------
% 0.21/0.41 % (16051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16051)Termination reason: Unknown
% 0.21/0.41 % (16051)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (16051)Memory used [KB]: 1023
% 0.21/0.41 % (16051)Time elapsed: 0.004 s
% 0.21/0.41 % (16051)Instructions burned: 4 (million)
% 0.21/0.41 % (16051)------------------------------
% 0.21/0.41 % (16051)------------------------------
% 0.21/0.41 % (16052)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (16053)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (16053)Instruction limit reached!
% 0.21/0.41 % (16053)------------------------------
% 0.21/0.41 % (16053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16053)Termination reason: Unknown
% 0.21/0.41 % (16053)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (16053)Memory used [KB]: 1023
% 0.21/0.41 % (16053)Time elapsed: 0.004 s
% 0.21/0.41 % (16053)Instructions burned: 4 (million)
% 0.21/0.41 % (16053)------------------------------
% 0.21/0.41 % (16053)------------------------------
% 0.21/0.41 % (16052)Instruction limit reached!
% 0.21/0.41 % (16052)------------------------------
% 0.21/0.41 % (16052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16052)Termination reason: Unknown
% 0.21/0.41 % (16052)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (16052)Memory used [KB]: 1023
% 0.21/0.41 % (16052)Time elapsed: 0.006 s
% 0.21/0.41 % (16052)Instructions burned: 8 (million)
% 0.21/0.41 % (16052)------------------------------
% 0.21/0.41 % (16052)------------------------------
% 0.21/0.42 % (16054)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (16054)Instruction limit reached!
% 0.21/0.42 % (16054)------------------------------
% 0.21/0.42 % (16054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (16054)Termination reason: Unknown
% 0.21/0.42 % (16054)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (16054)Memory used [KB]: 1023
% 0.21/0.42 % (16054)Time elapsed: 0.004 s
% 0.21/0.42 % (16054)Instructions burned: 4 (million)
% 0.21/0.42 % (16054)------------------------------
% 0.21/0.42 % (16054)------------------------------
% 0.21/0.42 % (16055)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.42 % (16056)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (16036)Instruction limit reached!
% 0.21/0.42 % (16036)------------------------------
% 0.21/0.42 % (16036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (16036)Termination reason: Unknown
% 0.21/0.42 % (16036)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (16036)Memory used [KB]: 6780
% 0.21/0.42 % (16036)Time elapsed: 0.057 s
% 0.21/0.42 % (16036)Instructions burned: 184 (million)
% 0.21/0.42 % (16036)------------------------------
% 0.21/0.42 % (16036)------------------------------
% 0.21/0.42 % (16057)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (16057)Instruction limit reached!
% 0.21/0.42 % (16057)------------------------------
% 0.21/0.42 % (16057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (16057)Termination reason: Unknown
% 0.21/0.42 % (16057)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (16057)Memory used [KB]: 1023
% 0.21/0.42 % (16057)Time elapsed: 0.005 s
% 0.21/0.42 % (16057)Instructions burned: 6 (million)
% 0.21/0.42 % (16057)------------------------------
% 0.21/0.42 % (16057)------------------------------
% 0.21/0.43 % (16058)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.43 % (16059)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.43 % (16055)Instruction limit reached!
% 0.21/0.43 % (16055)------------------------------
% 0.21/0.43 % (16055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (16055)Termination reason: Unknown
% 0.21/0.43 % (16055)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (16055)Memory used [KB]: 5628
% 0.21/0.43 % (16055)Time elapsed: 0.013 s
% 0.21/0.43 % (16055)Instructions burned: 19 (million)
% 0.21/0.43 % (16055)------------------------------
% 0.21/0.43 % (16055)------------------------------
% 0.21/0.43 % (16060)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.43 % (16058)Refutation not found, incomplete strategy
% 0.21/0.43 % (16058)------------------------------
% 0.21/0.43 % (16058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (16058)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (16058)Memory used [KB]: 5628
% 0.21/0.43 % (16058)Time elapsed: 0.009 s
% 0.21/0.44 % (16058)Instructions burned: 14 (million)
% 0.21/0.44 % (16058)------------------------------
% 0.21/0.44 % (16058)------------------------------
% 0.21/0.44 % (16061)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)
% 0.21/0.44 % (16060)Instruction limit reached!
% 0.21/0.44 % (16060)------------------------------
% 0.21/0.44 % (16060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16060)Termination reason: Unknown
% 0.21/0.44 % (16060)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (16060)Memory used [KB]: 1023
% 0.21/0.44 % (16060)Time elapsed: 0.005 s
% 0.21/0.44 % (16060)Instructions burned: 6 (million)
% 0.21/0.44 % (16060)------------------------------
% 0.21/0.44 % (16060)------------------------------
% 0.21/0.44 % (16062)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.44 % (16061)Instruction limit reached!
% 0.21/0.44 % (16061)------------------------------
% 0.21/0.44 % (16061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16061)Termination reason: Unknown
% 0.21/0.44 % (16061)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (16061)Memory used [KB]: 1151
% 0.21/0.44 % (16061)Time elapsed: 0.005 s
% 0.21/0.44 % (16061)Instructions burned: 6 (million)
% 0.21/0.44 % (16061)------------------------------
% 0.21/0.44 % (16061)------------------------------
% 0.21/0.44 % (16056)Refutation not found, incomplete strategy
% 0.21/0.44 % (16056)------------------------------
% 0.21/0.44 % (16056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16056)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (16056)Memory used [KB]: 5756
% 0.21/0.44 % (16056)Time elapsed: 0.020 s
% 0.21/0.44 % (16056)Instructions burned: 28 (million)
% 0.21/0.44 % (16056)------------------------------
% 0.21/0.44 % (16056)------------------------------
% 0.21/0.44 % (16059)Instruction limit reached!
% 0.21/0.44 % (16059)------------------------------
% 0.21/0.44 % (16059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16059)Termination reason: Unknown
% 0.21/0.44 % (16059)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (16059)Memory used [KB]: 5628
% 0.21/0.44 % (16059)Time elapsed: 0.013 s
% 0.21/0.44 % (16059)Instructions burned: 23 (million)
% 0.21/0.44 % (16059)------------------------------
% 0.21/0.44 % (16059)------------------------------
% 0.21/0.44 % (16063)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)
% 0.21/0.45 % (16064)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)
% 0.21/0.45 % (16065)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)
% 0.21/0.45 % (16067)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (16066)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.45 % (16067)Instruction limit reached!
% 0.21/0.45 % (16067)------------------------------
% 0.21/0.45 % (16067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (16067)Termination reason: Unknown
% 0.21/0.45 % (16067)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (16067)Memory used [KB]: 1023
% 0.21/0.45 % (16067)Time elapsed: 0.003 s
% 0.21/0.45 % (16067)Instructions burned: 4 (million)
% 0.21/0.45 % (16067)------------------------------
% 0.21/0.45 % (16067)------------------------------
% 0.21/0.45 % (16064)Refutation not found, incomplete strategy
% 0.21/0.45 % (16064)------------------------------
% 0.21/0.45 % (16064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (16064)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (16064)Memory used [KB]: 5628
% 0.21/0.45 % (16064)Time elapsed: 0.008 s
% 0.21/0.45 % (16064)Instructions burned: 12 (million)
% 0.21/0.45 % (16064)------------------------------
% 0.21/0.45 % (16064)------------------------------
% 0.21/0.46 % (16068)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.46 % (16066)Instruction limit reached!
% 0.21/0.46 % (16066)------------------------------
% 0.21/0.46 % (16066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (16066)Termination reason: Unknown
% 0.21/0.46 % (16066)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (16066)Memory used [KB]: 5628
% 0.21/0.46 % (16066)Time elapsed: 0.010 s
% 0.21/0.46 % (16066)Instructions burned: 17 (million)
% 0.21/0.46 % (16066)------------------------------
% 0.21/0.46 % (16066)------------------------------
% 0.21/0.46 % (16069)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.21/0.46 % (16070)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 (2999ds/100Mi)
% 0.21/0.47 % (16068)Instruction limit reached!
% 0.21/0.47 % (16068)------------------------------
% 0.21/0.47 % (16068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (16068)Termination reason: Unknown
% 0.21/0.47 % (16068)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (16068)Memory used [KB]: 5756
% 0.21/0.47 % (16068)Time elapsed: 0.014 s
% 0.21/0.47 % (16068)Instructions burned: 30 (million)
% 0.21/0.47 % (16068)------------------------------
% 0.21/0.47 % (16068)------------------------------
% 0.21/0.47 % (16071)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)
% 0.21/0.47 % (16071)Instruction limit reached!
% 0.21/0.47 % (16071)------------------------------
% 0.21/0.47 % (16071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (16071)Termination reason: Unknown
% 0.21/0.47 % (16071)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (16071)Memory used [KB]: 1151
% 0.21/0.47 % (16071)Time elapsed: 0.003 s
% 0.21/0.47 % (16071)Instructions burned: 5 (million)
% 0.21/0.47 % (16071)------------------------------
% 0.21/0.47 % (16071)------------------------------
% 0.21/0.48 % (16072)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)
% 0.21/0.48 % (16072)Refutation not found, incomplete strategy
% 0.21/0.48 % (16072)------------------------------
% 0.21/0.48 % (16072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (16072)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (16072)Memory used [KB]: 5628
% 0.21/0.48 % (16072)Time elapsed: 0.007 s
% 0.21/0.48 % (16072)Instructions burned: 17 (million)
% 0.21/0.48 % (16072)------------------------------
% 0.21/0.48 % (16072)------------------------------
% 0.21/0.48 % (16073)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.49 % (16074)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.21/0.50 % (16070)Instruction limit reached!
% 0.21/0.50 % (16070)------------------------------
% 0.21/0.50 % (16070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (16070)Termination reason: Unknown
% 0.21/0.50 % (16070)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (16070)Memory used [KB]: 6140
% 0.21/0.50 % (16070)Time elapsed: 0.033 s
% 0.21/0.50 % (16070)Instructions burned: 101 (million)
% 0.21/0.50 % (16070)------------------------------
% 0.21/0.50 % (16070)------------------------------
% 0.21/0.50 % (16074)Refutation not found, incomplete strategy
% 0.21/0.50 % (16074)------------------------------
% 0.21/0.50 % (16074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (16074)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (16074)Memory used [KB]: 5884
% 0.21/0.50 % (16074)Time elapsed: 0.014 s
% 0.21/0.50 % (16074)Instructions burned: 43 (million)
% 0.21/0.50 % (16074)------------------------------
% 0.21/0.50 % (16074)------------------------------
% 0.21/0.50 % (16069)Instruction limit reached!
% 0.21/0.50 % (16069)------------------------------
% 0.21/0.50 % (16069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (16069)Termination reason: Unknown
% 0.21/0.50 % (16069)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (16069)Memory used [KB]: 6012
% 0.21/0.50 % (16069)Time elapsed: 0.043 s
% 0.21/0.50 % (16069)Instructions burned: 128 (million)
% 0.21/0.50 % (16069)------------------------------
% 0.21/0.50 % (16069)------------------------------
% 0.21/0.51 % (16075)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)
% 1.34/0.51 % (16073)Instruction limit reached!
% 1.34/0.51 % (16073)------------------------------
% 1.34/0.51 % (16073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.34/0.51 % (16073)Termination reason: Unknown
% 1.34/0.51 % (16073)Termination phase: Saturation
% 1.34/0.51
% 1.34/0.51 % (16073)Memory used [KB]: 6140
% 1.34/0.51 % (16073)Time elapsed: 0.029 s
% 1.34/0.51 % (16073)Instructions burned: 87 (million)
% 1.34/0.51 % (16073)------------------------------
% 1.34/0.51 % (16073)------------------------------
% 1.34/0.51 % (16076)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)
% 1.34/0.51 % (16077)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)
% 1.34/0.52 % (16075)Instruction limit reached!
% 1.34/0.52 % (16075)------------------------------
% 1.34/0.52 % (16075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.34/0.52 % (16075)Termination reason: Unknown
% 1.34/0.52 % (16075)Termination phase: Saturation
% 1.34/0.52
% 1.34/0.52 % (16075)Memory used [KB]: 5884
% 1.34/0.52 % (16075)Time elapsed: 0.013 s
% 1.34/0.52 % (16075)Instructions burned: 40 (million)
% 1.34/0.52 % (16075)------------------------------
% 1.34/0.52 % (16075)------------------------------
% 1.34/0.52 % (16078)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)
% 1.34/0.53 % (16079)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)
% 1.44/0.53 % (16077)Instruction limit reached!
% 1.44/0.53 % (16077)------------------------------
% 1.44/0.53 % (16077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.53 % (16077)Termination reason: Unknown
% 1.44/0.53 % (16077)Termination phase: Saturation
% 1.44/0.53
% 1.44/0.53 % (16077)Memory used [KB]: 5756
% 1.44/0.53 % (16077)Time elapsed: 0.017 s
% 1.44/0.53 % (16077)Instructions burned: 46 (million)
% 1.44/0.53 % (16077)------------------------------
% 1.44/0.53 % (16077)------------------------------
% 1.44/0.53 % (16047)First to succeed.
% 1.44/0.53 % (16079)Refutation not found, incomplete strategy
% 1.44/0.53 % (16079)------------------------------
% 1.44/0.53 % (16079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.53 % (16079)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.53
% 1.44/0.53
% 1.44/0.53 % (16079)Memory used [KB]: 5756
% 1.44/0.53 % (16079)Time elapsed: 0.010 s
% 1.44/0.53 % (16079)Instructions burned: 28 (million)
% 1.44/0.53 % (16079)------------------------------
% 1.44/0.53 % (16079)------------------------------
% 1.44/0.54 % (16080)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)
% 1.44/0.54 % (16047)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for theBenchmark
% 1.44/0.54 % SZS output start Proof for theBenchmark
% 1.44/0.54 thf(type_def_5, type, mu: $tType).
% 1.44/0.54 thf(func_def_0, type, mu: $tType).
% 1.44/0.54 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.44/0.54 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_15, type, mtrue: $i > $o).
% 1.44/0.54 thf(func_def_16, type, mfalse: $i > $o).
% 1.44/0.54 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.44/0.54 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 1.44/0.54 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 1.44/0.54 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.44/0.54 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.44/0.54 thf(func_def_33, type, a1: $i > $i > $o).
% 1.44/0.54 thf(func_def_34, type, a2: $i > $i > $o).
% 1.44/0.54 thf(func_def_35, type, a3: $i > $i > $o).
% 1.44/0.54 thf(func_def_36, type, jan: mu).
% 1.44/0.54 thf(func_def_37, type, piotr: mu).
% 1.44/0.54 thf(func_def_38, type, cola: mu).
% 1.44/0.54 thf(func_def_39, type, pepsi: mu).
% 1.44/0.54 thf(func_def_40, type, beer: mu).
% 1.44/0.54 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 1.44/0.54 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 1.44/0.54 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 1.44/0.54 thf(func_def_60, type, ph1: !>[X0: $tType]:(X0)).
% 1.44/0.54 thf(func_def_62, type, sK3: $i > $i).
% 1.44/0.54 thf(func_def_63, type, sK4: $i > $i).
% 1.44/0.54 thf(f1484,plain,(
% 1.44/0.54 $false),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f1483])).
% 1.44/0.54 thf(f1483,plain,(
% 1.44/0.54 ($false = $true)),
% 1.44/0.54 inference(boolean_simplification,[],[f1478])).
% 1.44/0.54 thf(f1478,plain,(
% 1.44/0.54 ($true = (~ $true))),
% 1.44/0.54 inference(superposition,[],[f1250,f1144])).
% 1.44/0.54 thf(f1144,plain,(
% 1.44/0.54 ((a2 @ sK5 @ sK8) = $true)),
% 1.44/0.54 inference(not_proxy_clausification,[],[f1140])).
% 1.44/0.54 thf(f1140,plain,(
% 1.44/0.54 ((~ (a2 @ sK5 @ sK8)) = $false)),
% 1.44/0.54 inference(boolean_simplification,[],[f1139])).
% 1.44/0.54 thf(f1139,plain,(
% 1.44/0.54 ($false = ($false | (~ (a2 @ sK5 @ sK8))))),
% 1.44/0.54 inference(backward_demodulation,[],[f1115,f1138])).
% 1.44/0.54 thf(f1138,plain,(
% 1.44/0.54 ($false = (likes @ jan @ cola @ sK8))),
% 1.44/0.54 inference(binary_proxy_clausification,[],[f1115])).
% 1.44/0.54 thf(f1115,plain,(
% 1.44/0.54 (((likes @ jan @ cola @ sK8) | (~ (a2 @ sK5 @ sK8))) = $false)),
% 1.44/0.54 inference(beta_eta_normalization,[],[f1108])).
% 1.44/0.54 thf(f1108,plain,(
% 1.44/0.54 ($false = ((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))) @ sK8))),
% 1.44/0.54 inference(sigma_clausification,[],[f1091])).
% 1.44/0.54 thf(f1091,plain,(
% 1.44/0.54 ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0))))))),
% 1.44/0.54 inference(not_proxy_clausification,[],[f939])).
% 1.44/0.54 thf(f939,plain,(
% 1.44/0.54 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f938])).
% 1.44/0.54 thf(f938,plain,(
% 1.44/0.54 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | $false))),
% 1.44/0.54 inference(boolean_simplification,[],[f937])).
% 1.44/0.54 thf(f937,plain,(
% 1.44/0.54 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ $true)))),
% 1.44/0.54 inference(forward_demodulation,[],[f936,f614])).
% 1.44/0.54 thf(f614,plain,(
% 1.44/0.54 ((likes @ jan @ cola @ sK5) = $true)),
% 1.44/0.54 inference(boolean_simplification,[],[f613])).
% 1.44/0.54 thf(f613,plain,(
% 1.44/0.54 ($true = ((likes @ jan @ cola @ sK5) | $false))),
% 1.44/0.54 inference(superposition,[],[f272,f609])).
% 1.44/0.54 thf(f609,plain,(
% 1.44/0.54 ($false = (~ (a3 @ (sK3 @ sK2) @ sK5)))),
% 1.44/0.54 inference(boolean_simplification,[],[f608])).
% 1.44/0.54 thf(f608,plain,(
% 1.44/0.54 (($false | (~ (a3 @ (sK3 @ sK2) @ sK5))) = $false)),
% 1.44/0.54 inference(backward_demodulation,[],[f582,f607])).
% 1.44/0.54 thf(f607,plain,(
% 1.44/0.54 ($false = (very_much_likes @ jan @ cola @ sK5))),
% 1.44/0.54 inference(binary_proxy_clausification,[],[f582])).
% 1.44/0.54 thf(f582,plain,(
% 1.44/0.54 ($false = ((very_much_likes @ jan @ cola @ sK5) | (~ (a3 @ (sK3 @ sK2) @ sK5))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f580])).
% 1.44/0.54 thf(f580,plain,(
% 1.44/0.54 ($false = ((^[Y0 : $i]: ((very_much_likes @ jan @ cola @ Y0) | (~ (a3 @ (sK3 @ sK2) @ Y0)))) @ sK5))),
% 1.44/0.54 inference(sigma_clausification,[],[f573])).
% 1.44/0.54 thf(f573,plain,(
% 1.44/0.54 ((!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ jan @ cola @ Y0) | (~ (a3 @ (sK3 @ sK2) @ Y0))))) = $false)),
% 1.44/0.54 inference(not_proxy_clausification,[],[f570])).
% 1.44/0.54 thf(f570,plain,(
% 1.44/0.54 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ jan @ cola @ Y0) | (~ (a3 @ (sK3 @ sK2) @ Y0)))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f567])).
% 1.44/0.54 thf(f567,plain,(
% 1.44/0.54 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ jan @ cola @ Y0) | (~ (a3 @ (sK3 @ sK2) @ Y0))))))) = $true)),
% 1.44/0.54 inference(superposition,[],[f494,f548])).
% 1.44/0.54 thf(f548,plain,(
% 1.44/0.54 ((very_much_likes @ jan @ cola @ (sK3 @ sK2)) = $false)),
% 1.44/0.54 inference(not_proxy_clausification,[],[f545])).
% 1.44/0.54 thf(f545,plain,(
% 1.44/0.54 ($true = (~ (very_much_likes @ jan @ cola @ (sK3 @ sK2))))),
% 1.44/0.54 inference(boolean_simplification,[],[f544])).
% 1.44/0.54 thf(f544,plain,(
% 1.44/0.54 ($true = ((~ (very_much_likes @ jan @ cola @ (sK3 @ sK2))) | $false))),
% 1.44/0.54 inference(boolean_simplification,[],[f541])).
% 1.44/0.54 thf(f541,plain,(
% 1.44/0.54 ($true = ((~ (very_much_likes @ jan @ cola @ (sK3 @ sK2))) | (~ $true)))),
% 1.44/0.54 inference(superposition,[],[f536,f333])).
% 1.44/0.54 thf(f333,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (a3 @ X1 @ (sK3 @ X1)))) )),
% 1.44/0.54 inference(not_proxy_clausification,[],[f329])).
% 1.44/0.54 thf(f329,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($false = (~ (a3 @ X1 @ (sK3 @ X1))))) )),
% 1.44/0.54 inference(binary_proxy_clausification,[],[f328])).
% 1.44/0.54 thf(f328,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($false = ((~ (likes @ piotr @ pepsi @ (sK3 @ X1))) | (~ (a3 @ X1 @ (sK3 @ X1)))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f327])).
% 1.44/0.54 thf(f327,plain,(
% 1.44/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ (sK3 @ X1)) = $false)) )),
% 1.44/0.54 inference(sigma_clausification,[],[f324])).
% 1.44/0.54 thf(f324,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0))))))) )),
% 1.44/0.54 inference(not_proxy_clausification,[],[f323])).
% 1.44/0.54 thf(f323,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f322])).
% 1.44/0.54 thf(f322,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1))))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f228])).
% 1.44/0.54 thf(f228,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1)))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f213])).
% 1.44/0.54 thf(f213,plain,(
% 1.44/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a3 @ (likes @ piotr @ pepsi))))),
% 1.44/0.54 inference(definition_unfolding,[],[f159,f189,f208])).
% 1.44/0.54 thf(f208,plain,(
% 1.44/0.54 (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)))))))),
% 1.44/0.54 inference(definition_unfolding,[],[f179,f153,f155,f153])).
% 1.44/0.54 thf(f155,plain,(
% 1.44/0.54 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f118])).
% 1.44/0.54 thf(f118,plain,(
% 1.44/0.54 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.44/0.54 inference(fool_elimination,[],[f117])).
% 1.44/0.54 thf(f117,plain,(
% 1.44/0.54 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
% 1.44/0.54 inference(rectify,[],[f16])).
% 1.44/0.54 thf(f16,axiom,(
% 1.44/0.54 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 1.44/0.54 thf(f153,plain,(
% 1.44/0.54 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f88])).
% 1.44/0.54 thf(f88,plain,(
% 1.44/0.54 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.44/0.54 inference(fool_elimination,[],[f87])).
% 1.44/0.54 thf(f87,plain,(
% 1.44/0.54 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 1.44/0.54 inference(rectify,[],[f3])).
% 1.44/0.54 thf(f3,axiom,(
% 1.44/0.54 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 1.44/0.54 thf(f179,plain,(
% 1.44/0.54 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f66])).
% 1.44/0.54 thf(f66,plain,(
% 1.44/0.54 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 1.44/0.54 inference(fool_elimination,[],[f65])).
% 1.44/0.54 thf(f65,plain,(
% 1.44/0.54 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
% 1.44/0.54 inference(rectify,[],[f17])).
% 1.44/0.54 thf(f17,axiom,(
% 1.44/0.54 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 1.44/0.54 thf(f189,plain,(
% 1.44/0.54 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.44/0.54 inference(cnf_transformation,[],[f62])).
% 1.44/0.54 thf(f62,plain,(
% 1.44/0.54 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.44/0.54 inference(fool_elimination,[],[f61])).
% 1.44/0.54 thf(f61,plain,(
% 1.44/0.54 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 1.44/0.54 inference(rectify,[],[f28])).
% 1.44/0.54 thf(f28,axiom,(
% 1.44/0.54 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 1.44/0.54 thf(f159,plain,(
% 1.44/0.54 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f58])).
% 1.44/0.54 thf(f58,plain,(
% 1.44/0.54 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 1.44/0.54 inference(fool_elimination,[],[f57])).
% 1.44/0.54 thf(f57,plain,(
% 1.44/0.54 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 1.44/0.54 inference(rectify,[],[f42])).
% 1.44/0.54 thf(f42,axiom,(
% 1.44/0.54 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2)).
% 1.44/0.54 thf(f536,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((~ (very_much_likes @ jan @ cola @ X1)) | (~ (a3 @ sK2 @ X1))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f533])).
% 1.44/0.54 thf(f533,plain,(
% 1.44/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (very_much_likes @ jan @ cola @ Y0)) | (~ (a3 @ sK2 @ Y0)))) @ X1) = $true)) )),
% 1.44/0.54 inference(pi_clausification,[],[f525])).
% 1.44/0.54 thf(f525,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (very_much_likes @ jan @ cola @ Y0)) | (~ (a3 @ sK2 @ Y0))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f515])).
% 1.44/0.54 thf(f515,plain,(
% 1.44/0.54 ($true = ($false | (!! @ $i @ (^[Y0 : $i]: ((~ (very_much_likes @ jan @ cola @ Y0)) | (~ (a3 @ sK2 @ Y0)))))))),
% 1.44/0.54 inference(superposition,[],[f513,f258])).
% 1.44/0.54 thf(f258,plain,(
% 1.44/0.54 ($false = (likes @ jan @ cola @ sK2))),
% 1.44/0.54 inference(sigma_clausification,[],[f255])).
% 1.44/0.54 thf(f255,plain,(
% 1.44/0.54 ($false = (!! @ $i @ (likes @ jan @ cola)))),
% 1.44/0.54 inference(not_proxy_clausification,[],[f238])).
% 1.44/0.54 thf(f238,plain,(
% 1.44/0.54 ((~ (!! @ $i @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(beta_eta_normalization,[],[f216])).
% 1.44/0.54 thf(f216,plain,(
% 1.44/0.54 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(definition_unfolding,[],[f172,f189])).
% 1.44/0.54 thf(f172,plain,(
% 1.44/0.54 ($true = (~ (mvalid @ (likes @ jan @ cola))))),
% 1.44/0.54 inference(cnf_transformation,[],[f133])).
% 1.44/0.54 thf(f133,plain,(
% 1.44/0.54 ($true = (~ (mvalid @ (likes @ jan @ cola))))),
% 1.44/0.54 inference(fool_elimination,[],[f132])).
% 1.44/0.54 thf(f132,plain,(
% 1.44/0.54 ~(mvalid @ (likes @ jan @ cola))),
% 1.44/0.54 inference(rectify,[],[f51])).
% 1.44/0.54 thf(f51,negated_conjecture,(
% 1.44/0.54 ~(mvalid @ (likes @ jan @ cola))),
% 1.44/0.54 inference(negated_conjecture,[],[f50])).
% 1.44/0.54 thf(f50,conjecture,(
% 1.44/0.54 (mvalid @ (likes @ jan @ cola))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 1.44/0.54 thf(f513,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((likes @ X2 @ X3 @ X1) | (!! @ $i @ (^[Y0 : $i]: ((~ (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f512])).
% 1.44/0.54 thf(f512,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))))) @ X3))) )),
% 1.44/0.54 inference(pi_clausification,[],[f511])).
% 1.44/0.54 thf(f511,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1)))))))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f510])).
% 1.44/0.54 thf(f510,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))))))) @ X2) = $true)) )),
% 1.44/0.54 inference(pi_clausification,[],[f509])).
% 1.44/0.54 thf(f509,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2)))))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f508])).
% 1.44/0.54 thf(f508,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f252])).
% 1.44/0.54 thf(f252,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3)))))))))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f251])).
% 1.44/0.54 thf(f251,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((likes @ Y1 @ Y2 @ Y0) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3)))))))))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f219])).
% 1.44/0.54 thf(f219,plain,(
% 1.44/0.54 ($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]: ((Y5 @ Y6) | (Y4 @ 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))))))))),
% 1.44/0.54 inference(definition_unfolding,[],[f181,f189,f167,f167,f201,f208])).
% 1.44/0.54 thf(f201,plain,(
% 1.44/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.44/0.54 inference(definition_unfolding,[],[f152,f165,f153])).
% 1.44/0.54 thf(f165,plain,(
% 1.44/0.54 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f92])).
% 1.44/0.54 thf(f92,plain,(
% 1.44/0.54 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.44/0.54 inference(fool_elimination,[],[f91])).
% 1.44/0.54 thf(f91,plain,(
% 1.44/0.54 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 1.44/0.54 inference(rectify,[],[f4])).
% 1.44/0.54 thf(f4,axiom,(
% 1.44/0.54 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 1.44/0.54 thf(f152,plain,(
% 1.44/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.44/0.54 inference(cnf_transformation,[],[f76])).
% 1.44/0.54 thf(f76,plain,(
% 1.44/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.44/0.54 inference(fool_elimination,[],[f75])).
% 1.44/0.54 thf(f75,plain,(
% 1.44/0.54 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 1.44/0.54 inference(rectify,[],[f6])).
% 1.44/0.54 thf(f6,axiom,(
% 1.44/0.54 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 1.44/0.54 thf(f167,plain,(
% 1.44/0.54 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f107])).
% 1.44/0.54 thf(f107,plain,(
% 1.44/0.54 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 1.44/0.54 inference(fool_elimination,[],[f106])).
% 1.44/0.54 thf(f106,plain,(
% 1.44/0.54 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 1.44/0.54 inference(rectify,[],[f10])).
% 1.44/0.54 thf(f10,axiom,(
% 1.44/0.54 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 1.44/0.54 thf(f181,plain,(
% 1.44/0.54 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (likes @ Y0 @ Y1))))))) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f70])).
% 1.44/0.54 thf(f70,plain,(
% 1.44/0.54 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (likes @ Y0 @ Y1))))))) = $true)),
% 1.44/0.54 inference(fool_elimination,[],[f69])).
% 1.44/0.54 thf(f69,plain,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (very_much_likes @ X0 @ X1)) @ (likes @ X0 @ X1)))))))),
% 1.44/0.54 inference(rectify,[],[f46])).
% 1.44/0.54 thf(f46,axiom,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (very_much_likes @ X0 @ X1)) @ (likes @ X0 @ X1)))))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_2)).
% 1.44/0.54 thf(f494,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((very_much_likes @ X2 @ X3 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0))))))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f493])).
% 1.44/0.54 thf(f493,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1)))))))) @ X3))) )),
% 1.44/0.54 inference(pi_clausification,[],[f492])).
% 1.44/0.54 thf(f492,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1))))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f491])).
% 1.44/0.54 thf(f491,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2)))))))))) @ X2))) )),
% 1.44/0.54 inference(pi_clausification,[],[f490])).
% 1.44/0.54 thf(f490,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2))))))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f489])).
% 1.44/0.54 thf(f489,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3)))))))))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f242])).
% 1.44/0.54 thf(f242,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3))))))))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f222])).
% 1.44/0.54 thf(f222,plain,(
% 1.44/0.54 ($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]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(definition_unfolding,[],[f186,f189,f167,f167,f201,f155])).
% 1.44/0.54 thf(f186,plain,(
% 1.44/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f56])).
% 1.44/0.54 thf(f56,plain,(
% 1.44/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(fool_elimination,[],[f55])).
% 1.44/0.54 thf(f55,plain,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 1.44/0.54 inference(rectify,[],[f45])).
% 1.44/0.54 thf(f45,axiom,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_1)).
% 1.44/0.54 thf(f272,plain,(
% 1.44/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ jan @ cola @ X2) | (~ (a3 @ X1 @ X2))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f271])).
% 1.44/0.54 thf(f271,plain,(
% 1.44/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0)))) @ X2))) )),
% 1.44/0.54 inference(pi_clausification,[],[f270])).
% 1.44/0.54 thf(f270,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f269])).
% 1.44/0.54 thf(f269,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1)))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f239])).
% 1.44/0.54 thf(f239,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f226])).
% 1.44/0.54 thf(f226,plain,(
% 1.44/0.54 ($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))))),
% 1.44/0.54 inference(definition_unfolding,[],[f192,f189,f155])).
% 1.44/0.54 thf(f192,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f72])).
% 1.44/0.54 thf(f72,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(fool_elimination,[],[f71])).
% 1.44/0.54 thf(f71,plain,(
% 1.44/0.54 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 1.44/0.54 inference(rectify,[],[f41])).
% 1.44/0.54 thf(f41,axiom,(
% 1.44/0.54 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1)).
% 1.44/0.54 thf(f936,plain,(
% 1.44/0.54 (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ (likes @ jan @ cola @ sK5))) = $true)),
% 1.44/0.54 inference(boolean_simplification,[],[f935])).
% 1.44/0.54 thf(f935,plain,(
% 1.44/0.54 (($false | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ (likes @ jan @ cola @ sK5)))) = $true)),
% 1.44/0.54 inference(forward_demodulation,[],[f926,f607])).
% 1.44/0.54 thf(f926,plain,(
% 1.44/0.54 ($true = ((very_much_likes @ jan @ cola @ sK5) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ (likes @ jan @ cola @ sK5)))))),
% 1.44/0.54 inference(boolean_simplification,[],[f925])).
% 1.44/0.54 thf(f925,plain,(
% 1.44/0.54 ((((very_much_likes @ jan @ cola @ sK5) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ (likes @ jan @ cola @ sK5)))) | $false) = $true)),
% 1.44/0.54 inference(boolean_simplification,[],[f899])).
% 1.44/0.54 thf(f899,plain,(
% 1.44/0.54 ($true = (((very_much_likes @ jan @ cola @ sK5) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ sK5 @ Y0)))))) | (~ (likes @ jan @ cola @ sK5)))) | (~ $true)))),
% 1.44/0.54 inference(superposition,[],[f730,f612])).
% 1.44/0.54 thf(f612,plain,(
% 1.44/0.54 ($true = (a3 @ (sK3 @ sK2) @ sK5))),
% 1.44/0.54 inference(not_proxy_clausification,[],[f609])).
% 1.44/0.54 thf(f730,plain,(
% 1.44/0.54 ( ! [X0 : $i,X1 : $i] : (($true = (((very_much_likes @ jan @ cola @ X0) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ X0 @ Y0)))))) | (~ (likes @ jan @ cola @ X0)))) | (~ (a3 @ X1 @ X0))))) )),
% 1.44/0.54 inference(boolean_simplification,[],[f729])).
% 1.44/0.54 thf(f729,plain,(
% 1.44/0.54 ( ! [X0 : $i,X1 : $i] : (($true = (((very_much_likes @ jan @ cola @ X0) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ X0 @ Y0)))))) | $false) | (~ (likes @ jan @ cola @ X0)))) | (~ (a3 @ X1 @ X0))))) )),
% 1.44/0.54 inference(boolean_simplification,[],[f699])).
% 1.44/0.54 thf(f699,plain,(
% 1.44/0.54 ( ! [X0 : $i,X1 : $i] : (($true = (((very_much_likes @ jan @ cola @ X0) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a2 @ X0 @ Y0)))))) | (~ $true)) | (~ (likes @ jan @ cola @ X0)))) | (~ (a3 @ X1 @ X0))))) )),
% 1.44/0.54 inference(superposition,[],[f678,f290])).
% 1.44/0.54 thf(f290,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f289])).
% 1.44/0.54 thf(f289,plain,(
% 1.44/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 1.44/0.54 inference(pi_clausification,[],[f246])).
% 1.44/0.54 thf(f246,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f223])).
% 1.44/0.54 thf(f223,plain,(
% 1.44/0.54 (((^[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)),
% 1.44/0.54 inference(definition_unfolding,[],[f187,f189,f155])).
% 1.44/0.54 thf(f187,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f84])).
% 1.44/0.54 thf(f84,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 1.44/0.54 inference(fool_elimination,[],[f83])).
% 1.44/0.54 thf(f83,plain,(
% 1.44/0.54 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 1.44/0.54 inference(rectify,[],[f32])).
% 1.44/0.54 thf(f32,axiom,(
% 1.44/0.54 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1)).
% 1.44/0.54 thf(f678,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((((very_much_likes @ X2 @ X3 @ X4) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) | (~ (a3 @ X1 @ X4))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f677])).
% 1.44/0.54 thf(f677,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0)))) @ X4))) )),
% 1.44/0.54 inference(pi_clausification,[],[f672])).
% 1.44/0.54 thf(f672,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0))))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f671])).
% 1.44/0.54 thf(f671,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1)))))) @ X3))) )),
% 1.44/0.54 inference(pi_clausification,[],[f665])).
% 1.44/0.54 thf(f665,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f664])).
% 1.44/0.54 thf(f664,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2)))))))) @ X2))) )),
% 1.44/0.54 inference(pi_clausification,[],[f658])).
% 1.44/0.54 thf(f658,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2))))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f657])).
% 1.44/0.54 thf(f657,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3)))))))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f233])).
% 1.44/0.54 thf(f233,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f232])).
% 1.44/0.54 thf(f232,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 1.44/0.54 inference(boolean_simplification,[],[f231])).
% 1.44/0.54 thf(f231,plain,(
% 1.44/0.54 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))))) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)),
% 1.44/0.54 inference(beta_eta_normalization,[],[f224])).
% 1.44/0.54 thf(f224,plain,(
% 1.44/0.54 ($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]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (likes @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a1 @ (likes @ Y0 @ Y1)) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))))),
% 1.44/0.54 inference(definition_unfolding,[],[f188,f189,f167,f167,f155,f201,f200,f200,f155,f155])).
% 1.44/0.54 thf(f200,plain,(
% 1.44/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 1.44/0.54 inference(definition_unfolding,[],[f169,f153,f165,f153,f153])).
% 1.44/0.54 thf(f169,plain,(
% 1.44/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f139])).
% 1.44/0.54 thf(f139,plain,(
% 1.44/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 1.44/0.54 inference(fool_elimination,[],[f138])).
% 1.44/0.54 thf(f138,plain,(
% 1.44/0.54 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 1.44/0.54 inference(rectify,[],[f5])).
% 1.44/0.54 thf(f5,axiom,(
% 1.44/0.54 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 1.44/0.54 thf(f188,plain,(
% 1.44/0.54 ($true = (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)))))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f60])).
% 1.44/0.54 thf(f60,plain,(
% 1.44/0.54 ($true = (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)))))))))),
% 1.44/0.54 inference(fool_elimination,[],[f59])).
% 1.44/0.54 thf(f59,plain,(
% 1.44/0.54 (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))))))))),
% 1.44/0.54 inference(rectify,[],[f44])).
% 1.44/0.54 thf(f44,axiom,(
% 1.44/0.54 (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))))))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_4)).
% 1.44/0.54 thf(f1250,plain,(
% 1.44/0.54 ( ! [X0 : $i] : (((~ (a2 @ X0 @ sK8)) = $true)) )),
% 1.44/0.54 inference(boolean_simplification,[],[f1249])).
% 1.44/0.54 thf(f1249,plain,(
% 1.44/0.54 ( ! [X0 : $i] : (($true = ($false | (~ (a2 @ X0 @ sK8))))) )),
% 1.44/0.54 inference(boolean_simplification,[],[f1248])).
% 1.44/0.54 thf(f1248,plain,(
% 1.44/0.54 ( ! [X0 : $i] : (($true = ((~ $true) | (~ (a2 @ X0 @ sK8))))) )),
% 1.44/0.54 inference(forward_demodulation,[],[f1242,f1149])).
% 1.44/0.54 thf(f1149,plain,(
% 1.44/0.54 ($true = (likes @ jan @ pepsi @ sK8))),
% 1.44/0.54 inference(boolean_simplification,[],[f1145])).
% 1.44/0.54 thf(f1145,plain,(
% 1.44/0.54 (((likes @ jan @ pepsi @ sK8) | $false) = $true)),
% 1.44/0.54 inference(superposition,[],[f267,f1140])).
% 1.44/0.54 thf(f267,plain,(
% 1.44/0.54 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ pepsi @ X2) | (~ (a2 @ X1 @ X2))) = $true)) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f266])).
% 1.44/0.54 thf(f266,plain,(
% 1.44/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0)))) @ X2))) )),
% 1.44/0.54 inference(pi_clausification,[],[f265])).
% 1.44/0.54 thf(f265,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f264])).
% 1.44/0.54 thf(f264,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1)))))) @ X1))) )),
% 1.44/0.54 inference(pi_clausification,[],[f235])).
% 1.44/0.54 thf(f235,plain,(
% 1.44/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1))))))))),
% 1.44/0.54 inference(beta_eta_normalization,[],[f227])).
% 1.44/0.54 thf(f227,plain,(
% 1.44/0.54 ($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))))),
% 1.44/0.54 inference(definition_unfolding,[],[f195,f189,f155])).
% 1.44/0.54 thf(f195,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f80])).
% 1.44/0.54 thf(f80,plain,(
% 1.44/0.54 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 1.44/0.54 inference(fool_elimination,[],[f79])).
% 1.44/0.54 thf(f79,plain,(
% 1.44/0.54 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 1.44/0.54 inference(rectify,[],[f36])).
% 1.44/0.54 thf(f36,axiom,(
% 1.44/0.54 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1)).
% 1.44/0.54 thf(f1242,plain,(
% 1.44/0.54 ( ! [X0 : $i] : ((((~ (likes @ jan @ pepsi @ sK8)) | (~ (a2 @ X0 @ sK8))) = $true)) )),
% 1.44/0.54 inference(boolean_simplification,[],[f1229])).
% 1.44/0.54 thf(f1229,plain,(
% 1.44/0.54 ( ! [X0 : $i] : (((($false | (~ (likes @ jan @ pepsi @ sK8))) | (~ (a2 @ X0 @ sK8))) = $true)) )),
% 1.44/0.54 inference(superposition,[],[f400,f1138])).
% 1.44/0.54 thf(f400,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (((likes @ X2 @ cola @ X3) | (~ (likes @ X2 @ pepsi @ X3))) | (~ (a2 @ X1 @ X3))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f399])).
% 1.44/0.54 thf(f399,plain,(
% 1.44/0.54 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((likes @ X2 @ cola @ Y0) | (~ (likes @ X2 @ pepsi @ Y0))) | (~ (a2 @ X1 @ Y0)))) @ X3))) )),
% 1.44/0.54 inference(pi_clausification,[],[f394])).
% 1.44/0.54 thf(f394,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((likes @ X2 @ cola @ Y0) | (~ (likes @ X2 @ pepsi @ Y0))) | (~ (a2 @ X1 @ Y0))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f393])).
% 1.44/0.54 thf(f393,plain,(
% 1.44/0.54 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((likes @ Y0 @ cola @ Y1) | (~ (likes @ Y0 @ pepsi @ Y1))) | (~ (a2 @ X1 @ Y1)))))) @ X2))) )),
% 1.44/0.54 inference(pi_clausification,[],[f390])).
% 1.44/0.54 thf(f390,plain,(
% 1.44/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((likes @ Y0 @ cola @ Y1) | (~ (likes @ Y0 @ pepsi @ Y1))) | (~ (a2 @ X1 @ Y1))))))))) )),
% 1.44/0.54 inference(beta_eta_normalization,[],[f389])).
% 1.44/0.54 thf(f389,plain,(
% 1.44/0.54 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((likes @ Y1 @ cola @ Y2) | (~ (likes @ Y1 @ pepsi @ Y2))) | (~ (a2 @ Y0 @ Y2)))))))) @ X1) = $true)) )),
% 1.44/0.54 inference(pi_clausification,[],[f234])).
% 1.44/0.54 thf(f234,plain,(
% 1.44/0.54 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((likes @ Y1 @ cola @ Y2) | (~ (likes @ Y1 @ pepsi @ Y2))) | (~ (a2 @ Y0 @ Y2))))))))) = $true)),
% 1.44/0.54 inference(beta_eta_normalization,[],[f221])).
% 1.44/0.54 thf(f221,plain,(
% 1.44/0.54 (((^[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]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)),
% 1.44/0.54 inference(definition_unfolding,[],[f185,f189,f167,f155,f201])).
% 1.44/0.54 thf(f185,plain,(
% 1.44/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))))),
% 1.44/0.54 inference(cnf_transformation,[],[f101])).
% 1.44/0.54 thf(f101,plain,(
% 1.44/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))))),
% 1.44/0.54 inference(fool_elimination,[],[f100])).
% 1.44/0.54 thf(f100,plain,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))),
% 1.44/0.54 inference(rectify,[],[f39])).
% 1.44/0.54 thf(f39,axiom,(
% 1.44/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))),
% 1.44/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4)).
% 1.44/0.54 % SZS output end Proof for theBenchmark
% 1.44/0.54 % (16047)------------------------------
% 1.44/0.54 % (16047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.54 % (16047)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (16047)Memory used [KB]: 7164
% 1.44/0.54 % (16047)Time elapsed: 0.152 s
% 1.44/0.54 % (16047)Instructions burned: 340 (million)
% 1.44/0.54 % (16047)------------------------------
% 1.44/0.54 % (16047)------------------------------
% 1.44/0.54 % (16035)Success in time 0.176 s
% 1.44/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------