TSTP Solution File: AGT039^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT039^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 17:58:50 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT039^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.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 18:54:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.39 % (21069)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39 % (21064)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.39 % (21063)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39 % (21065)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.39 % (21070)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)
% 0.22/0.39 % (21067)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)
% 0.22/0.39 % (21068)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.39 % (21066)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (21067)Instruction limit reached!
% 0.22/0.39 % (21067)------------------------------
% 0.22/0.39 % (21067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21067)Termination reason: Unknown
% 0.22/0.39 % (21067)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (21067)Memory used [KB]: 1023
% 0.22/0.39 % (21067)Time elapsed: 0.003 s
% 0.22/0.39 % (21067)Instructions burned: 3 (million)
% 0.22/0.39 % (21067)------------------------------
% 0.22/0.39 % (21067)------------------------------
% 0.22/0.39 % (21070)Instruction limit reached!
% 0.22/0.39 % (21070)------------------------------
% 0.22/0.39 % (21070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21070)Termination reason: Unknown
% 0.22/0.39 % (21070)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (21070)Memory used [KB]: 1023
% 0.22/0.39 % (21066)Instruction limit reached!
% 0.22/0.39 % (21066)------------------------------
% 0.22/0.39 % (21066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21066)Termination reason: Unknown
% 0.22/0.39 % (21066)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (21066)Memory used [KB]: 1023
% 0.22/0.39 % (21066)Time elapsed: 0.003 s
% 0.22/0.39 % (21066)Instructions burned: 3 (million)
% 0.22/0.39 % (21066)------------------------------
% 0.22/0.39 % (21066)------------------------------
% 0.22/0.39 % (21070)Time elapsed: 0.003 s
% 0.22/0.39 % (21070)Instructions burned: 3 (million)
% 0.22/0.39 % (21070)------------------------------
% 0.22/0.39 % (21070)------------------------------
% 0.22/0.39 % (21064)Instruction limit reached!
% 0.22/0.39 % (21064)------------------------------
% 0.22/0.39 % (21064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21064)Termination reason: Unknown
% 0.22/0.39 % (21064)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (21064)Memory used [KB]: 1151
% 0.22/0.39 % (21064)Time elapsed: 0.005 s
% 0.22/0.39 % (21064)Instructions burned: 4 (million)
% 0.22/0.39 % (21064)------------------------------
% 0.22/0.39 % (21064)------------------------------
% 0.22/0.39 % (21068)Refutation not found, incomplete strategy
% 0.22/0.39 % (21068)------------------------------
% 0.22/0.39 % (21068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21068)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (21068)Memory used [KB]: 5628
% 0.22/0.39 % (21068)Time elapsed: 0.010 s
% 0.22/0.39 % (21068)Instructions burned: 14 (million)
% 0.22/0.39 % (21068)------------------------------
% 0.22/0.39 % (21068)------------------------------
% 0.22/0.40 % (21069)Instruction limit reached!
% 0.22/0.40 % (21069)------------------------------
% 0.22/0.40 % (21069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21069)Termination reason: Unknown
% 0.22/0.40 % (21069)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (21069)Memory used [KB]: 1151
% 0.22/0.40 % (21069)Time elapsed: 0.011 s
% 0.22/0.40 % (21069)Instructions burned: 19 (million)
% 0.22/0.40 % (21069)------------------------------
% 0.22/0.40 % (21069)------------------------------
% 0.22/0.40 % (21065)Instruction limit reached!
% 0.22/0.40 % (21065)------------------------------
% 0.22/0.40 % (21065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21065)Termination reason: Unknown
% 0.22/0.40 % (21065)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (21065)Memory used [KB]: 5756
% 0.22/0.40 % (21065)Time elapsed: 0.016 s
% 0.22/0.40 % (21065)Instructions burned: 27 (million)
% 0.22/0.40 % (21065)------------------------------
% 0.22/0.40 % (21065)------------------------------
% 0.22/0.40 % (21071)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 % (21073)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)
% 0.22/0.40 % (21074)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)
% 0.22/0.40 % (21073)Instruction limit reached!
% 0.22/0.40 % (21073)------------------------------
% 0.22/0.40 % (21073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21073)Termination reason: Unknown
% 0.22/0.40 % (21073)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (21073)Memory used [KB]: 1023
% 0.22/0.40 % (21073)Time elapsed: 0.003 s
% 0.22/0.40 % (21073)Instructions burned: 4 (million)
% 0.22/0.40 % (21073)------------------------------
% 0.22/0.40 % (21073)------------------------------
% 0.22/0.41 % (21072)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 % (21075)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (21072)Instruction limit reached!
% 0.22/0.41 % (21072)------------------------------
% 0.22/0.41 % (21072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21072)Termination reason: Unknown
% 0.22/0.41 % (21072)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (21072)Memory used [KB]: 1151
% 0.22/0.41 % (21072)Time elapsed: 0.009 s
% 0.22/0.41 % (21072)Instructions burned: 15 (million)
% 0.22/0.41 % (21072)------------------------------
% 0.22/0.41 % (21072)------------------------------
% 0.22/0.42 % (21076)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 % (21077)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 % (21075)Instruction limit reached!
% 0.22/0.42 % (21075)------------------------------
% 0.22/0.42 % (21075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21075)Termination reason: Unknown
% 0.22/0.42 % (21075)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (21075)Memory used [KB]: 1151
% 0.22/0.42 % (21075)Time elapsed: 0.006 s
% 0.22/0.42 % (21075)Instructions burned: 7 (million)
% 0.22/0.42 % (21075)------------------------------
% 0.22/0.42 % (21075)------------------------------
% 0.22/0.42 % (21077)Instruction limit reached!
% 0.22/0.42 % (21077)------------------------------
% 0.22/0.42 % (21077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21077)Termination reason: Unknown
% 0.22/0.42 % (21077)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (21077)Memory used [KB]: 1023
% 0.22/0.42 % (21077)Time elapsed: 0.003 s
% 0.22/0.42 % (21077)Instructions burned: 4 (million)
% 0.22/0.42 % (21077)------------------------------
% 0.22/0.42 % (21077)------------------------------
% 0.22/0.42 % (21071)Instruction limit reached!
% 0.22/0.42 % (21071)------------------------------
% 0.22/0.42 % (21071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21071)Termination reason: Unknown
% 0.22/0.42 % (21071)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (21071)Memory used [KB]: 5884
% 0.22/0.42 % (21071)Time elapsed: 0.020 s
% 0.22/0.42 % (21071)Instructions burned: 37 (million)
% 0.22/0.42 % (21071)------------------------------
% 0.22/0.42 % (21071)------------------------------
% 0.22/0.42 % (21076)Instruction limit reached!
% 0.22/0.42 % (21076)------------------------------
% 0.22/0.42 % (21076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21076)Termination reason: Unknown
% 0.22/0.42 % (21076)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (21076)Memory used [KB]: 1151
% 0.22/0.42 % (21076)Time elapsed: 0.010 s
% 0.22/0.42 % (21076)Instructions burned: 16 (million)
% 0.22/0.42 % (21076)------------------------------
% 0.22/0.42 % (21076)------------------------------
% 0.22/0.43 % (21078)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 % (21078)Instruction limit reached!
% 0.22/0.43 % (21078)------------------------------
% 0.22/0.43 % (21078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21078)Termination reason: Unknown
% 0.22/0.43 % (21078)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (21078)Memory used [KB]: 1023
% 0.22/0.43 % (21078)Time elapsed: 0.003 s
% 0.22/0.43 % (21078)Instructions burned: 3 (million)
% 0.22/0.43 % (21078)------------------------------
% 0.22/0.43 % (21078)------------------------------
% 0.22/0.43 % (21079)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)
% 0.22/0.43 % (21080)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 % (21080)Instruction limit reached!
% 0.22/0.43 % (21080)------------------------------
% 0.22/0.43 % (21080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21080)Termination reason: Unknown
% 0.22/0.43 % (21080)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (21080)Memory used [KB]: 1023
% 0.22/0.43 % (21080)Time elapsed: 0.004 s
% 0.22/0.43 % (21080)Instructions burned: 4 (million)
% 0.22/0.43 % (21080)------------------------------
% 0.22/0.43 % (21080)------------------------------
% 0.22/0.43 % (21079)Instruction limit reached!
% 0.22/0.43 % (21079)------------------------------
% 0.22/0.43 % (21079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21079)Termination reason: Unknown
% 0.22/0.43 % (21079)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (21079)Memory used [KB]: 1151
% 0.22/0.43 % (21079)Time elapsed: 0.005 s
% 0.22/0.43 % (21079)Instructions burned: 7 (million)
% 0.22/0.43 % (21079)------------------------------
% 0.22/0.43 % (21079)------------------------------
% 0.22/0.43 % (21082)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 % (21083)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 % (21081)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 % (21082)Instruction limit reached!
% 0.22/0.44 % (21082)------------------------------
% 0.22/0.44 % (21082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21082)Termination reason: Unknown
% 0.22/0.44 % (21082)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (21082)Memory used [KB]: 5628
% 0.22/0.44 % (21082)Time elapsed: 0.012 s
% 0.22/0.44 % (21082)Instructions burned: 19 (million)
% 0.22/0.44 % (21082)------------------------------
% 0.22/0.44 % (21082)------------------------------
% 0.22/0.44 % (21081)Instruction limit reached!
% 0.22/0.44 % (21081)------------------------------
% 0.22/0.44 % (21081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21081)Termination reason: Unknown
% 0.22/0.44 % (21081)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (21081)Memory used [KB]: 1023
% 0.22/0.44 % (21081)Time elapsed: 0.004 s
% 0.22/0.44 % (21081)Instructions burned: 5 (million)
% 0.22/0.44 % (21081)------------------------------
% 0.22/0.44 % (21081)------------------------------
% 0.22/0.45 % (21084)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (21085)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 % (21084)Instruction limit reached!
% 0.22/0.45 % (21084)------------------------------
% 0.22/0.45 % (21084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21084)Termination reason: Unknown
% 0.22/0.45 % (21084)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (21084)Memory used [KB]: 1151
% 0.22/0.45 % (21084)Time elapsed: 0.005 s
% 0.22/0.45 % (21084)Instructions burned: 6 (million)
% 0.22/0.45 % (21084)------------------------------
% 0.22/0.45 % (21084)------------------------------
% 0.22/0.45 % (21086)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)
% 0.22/0.46 % (21085)Refutation not found, incomplete strategy
% 0.22/0.46 % (21085)------------------------------
% 0.22/0.46 % (21085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21085)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (21085)Memory used [KB]: 5628
% 0.22/0.46 % (21085)Time elapsed: 0.011 s
% 0.22/0.46 % (21085)Instructions burned: 15 (million)
% 0.22/0.46 % (21085)------------------------------
% 0.22/0.46 % (21085)------------------------------
% 0.22/0.46 % (21087)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 % (21088)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 % (21087)Instruction limit reached!
% 0.22/0.46 % (21087)------------------------------
% 0.22/0.46 % (21087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21087)Termination reason: Unknown
% 0.22/0.46 % (21087)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (21087)Memory used [KB]: 1151
% 0.22/0.46 % (21087)Time elapsed: 0.005 s
% 0.22/0.46 % (21087)Instructions burned: 5 (million)
% 0.22/0.46 % (21087)------------------------------
% 0.22/0.46 % (21087)------------------------------
% 0.22/0.46 % (21086)Instruction limit reached!
% 0.22/0.46 % (21086)------------------------------
% 0.22/0.46 % (21086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21086)Termination reason: Unknown
% 0.22/0.46 % (21086)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (21086)Memory used [KB]: 1151
% 0.22/0.46 % (21086)Time elapsed: 0.013 s
% 0.22/0.46 % (21086)Instructions burned: 21 (million)
% 0.22/0.46 % (21086)------------------------------
% 0.22/0.46 % (21086)------------------------------
% 0.22/0.46 % (21088)Instruction limit reached!
% 0.22/0.46 % (21088)------------------------------
% 0.22/0.46 % (21088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21088)Termination reason: Unknown
% 0.22/0.46 % (21088)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (21088)Memory used [KB]: 1151
% 0.22/0.46 % (21088)Time elapsed: 0.005 s
% 0.22/0.46 % (21088)Instructions burned: 7 (million)
% 0.22/0.46 % (21088)------------------------------
% 0.22/0.46 % (21088)------------------------------
% 0.22/0.47 % (21089)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (21083)Refutation not found, incomplete strategy
% 0.22/0.47 % (21083)------------------------------
% 0.22/0.47 % (21083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (21083)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (21083)Memory used [KB]: 5884
% 0.22/0.47 % (21083)Time elapsed: 0.032 s
% 0.22/0.47 % (21083)Instructions burned: 48 (million)
% 0.22/0.47 % (21083)------------------------------
% 0.22/0.47 % (21083)------------------------------
% 0.22/0.47 % (21090)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)
% 0.22/0.48 % (21091)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)
% 0.22/0.48 % (21093)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.48 % (21092)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)
% 0.22/0.49 % (21091)Instruction limit reached!
% 0.22/0.49 % (21091)------------------------------
% 0.22/0.49 % (21091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (21091)Termination reason: Unknown
% 0.22/0.49 % (21091)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (21091)Memory used [KB]: 5756
% 0.22/0.49 % (21091)Time elapsed: 0.012 s
% 0.22/0.49 % (21091)Instructions burned: 19 (million)
% 0.22/0.49 % (21091)------------------------------
% 0.22/0.49 % (21091)------------------------------
% 0.22/0.49 % (21093)Instruction limit reached!
% 0.22/0.49 % (21093)------------------------------
% 0.22/0.49 % (21093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (21093)Termination reason: Unknown
% 0.22/0.49 % (21093)Termination phase: Property scanning
% 0.22/0.49
% 0.22/0.49 % (21093)Memory used [KB]: 1151
% 0.22/0.49 % (21093)Time elapsed: 0.011 s
% 0.22/0.49 % (21093)Instructions burned: 18 (million)
% 0.22/0.49 % (21093)------------------------------
% 0.22/0.49 % (21093)------------------------------
% 0.22/0.49 % (21063)Instruction limit reached!
% 0.22/0.49 % (21063)------------------------------
% 0.22/0.49 % (21063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (21063)Termination reason: Unknown
% 0.22/0.49 % (21063)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (21063)Memory used [KB]: 6780
% 0.22/0.49 % (21063)Time elapsed: 0.108 s
% 0.22/0.49 % (21063)Instructions burned: 184 (million)
% 0.22/0.49 % (21063)------------------------------
% 0.22/0.49 % (21063)------------------------------
% 0.22/0.50 % (21092)Refutation not found, incomplete strategy
% 0.22/0.50 % (21092)------------------------------
% 0.22/0.50 % (21092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (21092)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (21092)Memory used [KB]: 5884
% 0.22/0.50 % (21092)Time elapsed: 0.039 s
% 0.22/0.50 % (21092)Instructions burned: 34 (million)
% 0.22/0.50 % (21092)------------------------------
% 0.22/0.50 % (21092)------------------------------
% 0.22/0.50 % (21094)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.50 % (21094)Instruction limit reached!
% 0.22/0.50 % (21094)------------------------------
% 0.22/0.50 % (21094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (21094)Termination reason: Unknown
% 0.22/0.50 % (21094)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (21094)Memory used [KB]: 1023
% 0.22/0.50 % (21094)Time elapsed: 0.003 s
% 0.22/0.50 % (21094)Instructions burned: 5 (million)
% 0.22/0.50 % (21094)------------------------------
% 0.22/0.50 % (21094)------------------------------
% 0.22/0.50 % (21097)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 % (21098)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)
% 0.22/0.51 % (21095)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.51 % (21098)Instruction limit reached!
% 0.22/0.51 % (21098)------------------------------
% 0.22/0.51 % (21098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (21098)Termination reason: Unknown
% 0.22/0.51 % (21098)Termination phase: Property scanning
% 0.22/0.51
% 0.22/0.51 % (21098)Memory used [KB]: 1151
% 0.22/0.51 % (21098)Time elapsed: 0.003 s
% 0.22/0.51 % (21098)Instructions burned: 6 (million)
% 0.22/0.51 % (21098)------------------------------
% 0.22/0.51 % (21098)------------------------------
% 0.22/0.51 % (21096)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)
% 0.22/0.51 % (21099)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 % (21100)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)
% 0.22/0.52 % (21090)First to succeed.
% 0.22/0.52 % (21099)Instruction limit reached!
% 0.22/0.52 % (21099)------------------------------
% 0.22/0.52 % (21099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (21099)Termination reason: Unknown
% 0.22/0.52 % (21099)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (21099)Memory used [KB]: 5756
% 0.22/0.52 % (21099)Time elapsed: 0.008 s
% 0.22/0.52 % (21099)Instructions burned: 21 (million)
% 0.22/0.52 % (21099)------------------------------
% 0.22/0.52 % (21099)------------------------------
% 0.22/0.52 % (21090)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% 0.22/0.52 thf(type_def_5, type, mu: $tType).
% 0.22/0.52 thf(func_def_0, type, mu: $tType).
% 0.22/0.52 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.52 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.52 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.52 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_33, type, a1: $i > $i > $o).
% 0.22/0.52 thf(func_def_34, type, a2: $i > $i > $o).
% 0.22/0.52 thf(func_def_35, type, a3: $i > $i > $o).
% 0.22/0.52 thf(func_def_36, type, jan: mu).
% 0.22/0.52 thf(func_def_37, type, piotr: mu).
% 0.22/0.52 thf(func_def_38, type, cola: mu).
% 0.22/0.52 thf(func_def_39, type, pepsi: mu).
% 0.22/0.52 thf(func_def_40, type, beer: mu).
% 0.22/0.52 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.22/0.52 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.22/0.52 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.22/0.52 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_62, type, sK1: $i > $i).
% 0.22/0.52 thf(func_def_63, type, sK2: $i > $i).
% 0.22/0.52 thf(func_def_64, type, sK3: $i > $i).
% 0.22/0.52 thf(func_def_66, type, sK5: $i > $i).
% 0.22/0.52 thf(func_def_67, type, sK6: mu > $i > mu > $i).
% 0.22/0.52 thf(func_def_68, type, sK7: $i > $i).
% 0.22/0.52 thf(func_def_69, type, sK8: mu > mu > $i > $i).
% 0.22/0.52 thf(func_def_70, type, sK9: mu > mu > $i > $i).
% 0.22/0.52 thf(f682,plain,(
% 0.22/0.52 $false),
% 0.22/0.52 inference(trivial_inequality_removal,[],[f681])).
% 0.22/0.52 thf(f681,plain,(
% 0.22/0.52 ($true = $false)),
% 0.22/0.52 inference(superposition,[],[f446,f677])).
% 0.22/0.52 thf(f677,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (((a2 @ sK4 @ X0) = $false)) )),
% 0.22/0.52 inference(trivial_inequality_removal,[],[f674])).
% 0.22/0.52 thf(f674,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (((a2 @ sK4 @ X0) = $false) | ($false != $false)) )),
% 0.22/0.52 inference(equality_factoring,[],[f664])).
% 0.22/0.52 thf(f664,plain,(
% 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (((a2 @ sK4 @ X0) = $false) | ((a2 @ X1 @ X0) = $false)) )),
% 0.22/0.52 inference(trivial_inequality_removal,[],[f661])).
% 0.22/0.52 thf(f661,plain,(
% 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (((a2 @ X1 @ X0) = $false) | ((a2 @ sK4 @ X0) = $false) | ($true = $false)) )),
% 0.22/0.52 inference(superposition,[],[f429,f642])).
% 0.22/0.52 thf(f642,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (((likes @ jan @ pepsi @ X0) = $false) | ((a2 @ sK4 @ X0) = $false)) )),
% 0.22/0.52 inference(trivial_inequality_removal,[],[f640])).
% 0.22/0.52 thf(f640,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (((a2 @ sK4 @ X0) = $false) | ((likes @ jan @ pepsi @ X0) = $false) | ($true = $false)) )),
% 0.22/0.52 inference(superposition,[],[f532,f443])).
% 0.22/0.52 thf(f443,plain,(
% 0.22/0.52 ((possibly_likes @ jan @ pepsi @ sK4) = $false)),
% 0.22/0.52 inference(sigma_clausification,[],[f442])).
% 0.22/0.52 thf(f442,plain,(
% 0.22/0.52 ((!! @ $i @ (possibly_likes @ jan @ pepsi)) = $false)),
% 0.22/0.52 inference(not_proxy_clausification,[],[f309])).
% 0.22/0.52 thf(f309,plain,(
% 0.22/0.52 ((~ (!! @ $i @ (possibly_likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f280])).
% 0.22/0.52 thf(f280,plain,(
% 0.22/0.52 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(definition_unfolding,[],[f230,f265])).
% 0.22/0.52 thf(f265,plain,(
% 0.22/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.52 inference(cnf_transformation,[],[f176])).
% 0.22/0.52 thf(f176,plain,(
% 0.22/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.52 inference(fool_elimination,[],[f175])).
% 0.22/0.52 thf(f175,plain,(
% 0.22/0.52 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.52 inference(rectify,[],[f28])).
% 0.22/0.52 thf(f28,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.52 thf(f230,plain,(
% 0.22/0.52 ((~ (mvalid @ (possibly_likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(cnf_transformation,[],[f170])).
% 0.22/0.52 thf(f170,plain,(
% 0.22/0.52 ((~ (mvalid @ (possibly_likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(fool_elimination,[],[f169])).
% 0.22/0.52 thf(f169,plain,(
% 0.22/0.52 ~(mvalid @ (possibly_likes @ jan @ pepsi))),
% 0.22/0.52 inference(rectify,[],[f74])).
% 0.22/0.52 thf(f74,negated_conjecture,(
% 0.22/0.52 ~(mvalid @ (possibly_likes @ jan @ pepsi))),
% 0.22/0.52 inference(negated_conjecture,[],[f73])).
% 0.22/0.52 thf(f73,conjecture,(
% 0.22/0.52 (mvalid @ (possibly_likes @ jan @ pepsi))),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.22/0.52 thf(f532,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((a2 @ X1 @ X4) = $false) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 0.22/0.52 inference(not_proxy_clausification,[],[f531])).
% 0.22/0.52 thf(f531,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a2 @ X1 @ X4) = $false) | ((~ (likes @ X2 @ X3 @ X4)) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
% 0.22/0.52 inference(not_proxy_clausification,[],[f530])).
% 0.22/0.52 thf(f530,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (a2 @ X1 @ X4)) = $true) | ((~ (likes @ X2 @ X3 @ X4)) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
% 0.22/0.52 inference(binary_proxy_clausification,[],[f529])).
% 0.22/0.52 thf(f529,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((~ (a2 @ X1 @ X4)) | (~ (likes @ X2 @ X3 @ X4))) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f528])).
% 0.22/0.52 thf(f528,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | (((^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))) @ X4) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f527])).
% 0.22/0.52 thf(f527,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
% 0.22/0.52 inference(binary_proxy_clausification,[],[f526])).
% 0.22/0.52 thf(f526,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f525])).
% 0.22/0.52 thf(f525,plain,(
% 0.22/0.52 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f524])).
% 0.22/0.52 thf(f524,plain,(
% 0.22/0.52 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f523])).
% 0.22/0.52 thf(f523,plain,(
% 0.22/0.52 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a2 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f522])).
% 0.22/0.52 thf(f522,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a2 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f521])).
% 0.22/0.52 thf(f521,plain,(
% 0.22/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f298])).
% 0.22/0.52 thf(f298,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 0.22/0.52 inference(boolean_simplification,[],[f297])).
% 0.22/0.52 thf(f297,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f285])).
% 0.22/0.52 thf(f285,plain,(
% 0.22/0.52 (((^[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]: ((~ (Y4 @ Y6 @ Y7)) | (Y5 @ Y7))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.22/0.52 inference(definition_unfolding,[],[f242,f265,f249,f249,f270,f274])).
% 0.22/0.52 thf(f274,plain,(
% 0.22/0.52 (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]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.52 inference(definition_unfolding,[],[f237,f231,f227,f231])).
% 0.22/0.52 thf(f227,plain,(
% 0.22/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f140])).
% 0.22/0.52 thf(f140,plain,(
% 0.22/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.52 inference(fool_elimination,[],[f139])).
% 0.22/0.52 thf(f139,plain,(
% 0.22/0.52 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.22/0.52 inference(rectify,[],[f16])).
% 0.22/0.52 thf(f16,axiom,(
% 0.22/0.52 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.52 thf(f231,plain,(
% 0.22/0.52 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f120])).
% 0.22/0.52 thf(f120,plain,(
% 0.22/0.52 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.52 inference(fool_elimination,[],[f119])).
% 0.22/0.52 thf(f119,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.52 inference(rectify,[],[f3])).
% 0.22/0.52 thf(f3,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.52 thf(f237,plain,(
% 0.22/0.52 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f136])).
% 0.22/0.52 thf(f136,plain,(
% 0.22/0.52 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f135])).
% 0.22/0.52 thf(f135,plain,(
% 0.22/0.52 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 0.22/0.52 inference(rectify,[],[f17])).
% 0.22/0.52 thf(f17,axiom,(
% 0.22/0.52 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 0.22/0.52 thf(f270,plain,(
% 0.22/0.52 (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)))))),
% 0.22/0.52 inference(definition_unfolding,[],[f268,f223,f231])).
% 0.22/0.52 thf(f223,plain,(
% 0.22/0.52 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f142])).
% 0.22/0.52 thf(f142,plain,(
% 0.22/0.52 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.52 inference(fool_elimination,[],[f141])).
% 0.22/0.52 thf(f141,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.22/0.52 inference(rectify,[],[f4])).
% 0.22/0.52 thf(f4,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.52 thf(f268,plain,(
% 0.22/0.52 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.52 inference(cnf_transformation,[],[f214])).
% 0.22/0.52 thf(f214,plain,(
% 0.22/0.52 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.52 inference(fool_elimination,[],[f213])).
% 0.22/0.52 thf(f213,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.52 inference(rectify,[],[f6])).
% 0.22/0.52 thf(f6,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.52 thf(f249,plain,(
% 0.22/0.52 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f218])).
% 0.22/0.52 thf(f218,plain,(
% 0.22/0.52 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f217])).
% 0.22/0.52 thf(f217,plain,(
% 0.22/0.52 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.52 inference(rectify,[],[f10])).
% 0.22/0.52 thf(f10,axiom,(
% 0.22/0.52 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.22/0.52 thf(f242,plain,(
% 0.22/0.52 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.22/0.52 inference(cnf_transformation,[],[f144])).
% 0.22/0.52 thf(f144,plain,(
% 0.22/0.52 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.22/0.52 inference(fool_elimination,[],[f143])).
% 0.22/0.52 thf(f143,plain,(
% 0.22/0.52 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a2 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.52 inference(rectify,[],[f48])).
% 0.22/0.52 thf(f48,axiom,(
% 0.22/0.52 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a2 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4)).
% 0.22/0.52 thf(f429,plain,(
% 0.22/0.52 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ pepsi @ X2) = $true) | ((a2 @ X1 @ X2) = $false)) )),
% 0.22/0.52 inference(not_proxy_clausification,[],[f428])).
% 0.22/0.52 thf(f428,plain,(
% 0.22/0.52 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ pepsi @ X2) = $true) | ((~ (a2 @ X1 @ X2)) = $true)) )),
% 0.22/0.52 inference(binary_proxy_clausification,[],[f427])).
% 0.22/0.52 thf(f427,plain,(
% 0.22/0.52 ( ! [X2 : $i,X1 : $i] : ((((~ (a2 @ X1 @ X2)) | (likes @ jan @ pepsi @ X2)) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f426])).
% 0.22/0.52 thf(f426,plain,(
% 0.22/0.52 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (likes @ jan @ pepsi @ Y0))) @ X2) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f425])).
% 0.22/0.52 thf(f425,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (likes @ jan @ pepsi @ Y0)))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f424])).
% 0.22/0.52 thf(f424,plain,(
% 0.22/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ Y0 @ Y1)) | (likes @ jan @ pepsi @ Y1))))) @ X1) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f312])).
% 0.22/0.52 thf(f312,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ Y0 @ Y1)) | (likes @ jan @ pepsi @ Y1)))))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f289])).
% 0.22/0.52 thf(f289,plain,(
% 0.22/0.52 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(definition_unfolding,[],[f248,f265,f227])).
% 0.22/0.52 thf(f248,plain,(
% 0.22/0.52 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(cnf_transformation,[],[f99])).
% 0.22/0.52 thf(f99,plain,(
% 0.22/0.52 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)),
% 0.22/0.52 inference(fool_elimination,[],[f98])).
% 0.22/0.52 thf(f98,plain,(
% 0.22/0.52 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 0.22/0.52 inference(rectify,[],[f36])).
% 0.22/0.52 thf(f36,axiom,(
% 0.22/0.52 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1)).
% 0.22/0.52 thf(f446,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (((a2 @ X1 @ (sK5 @ X1)) = $true)) )),
% 0.22/0.52 inference(sigma_clausification,[],[f445])).
% 0.22/0.52 thf(f445,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (((?? @ $i @ (a2 @ X1)) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f444])).
% 0.22/0.52 thf(f444,plain,(
% 0.22/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (a2 @ Y0))) @ X1) = $true)) )),
% 0.22/0.52 inference(pi_clausification,[],[f308])).
% 0.22/0.52 thf(f308,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a2 @ Y0)))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f296])).
% 0.22/0.52 thf(f296,plain,(
% 0.22/0.52 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a2) = $true)),
% 0.22/0.52 inference(definition_unfolding,[],[f267,f240])).
% 0.22/0.52 thf(f240,plain,(
% 0.22/0.52 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f83])).
% 0.22/0.52 thf(f83,plain,(
% 0.22/0.52 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f82])).
% 0.22/0.52 thf(f82,plain,(
% 0.22/0.52 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 0.22/0.52 inference(rectify,[],[f20])).
% 0.22/0.52 thf(f20,axiom,(
% 0.22/0.52 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 0.22/0.52 thf(f267,plain,(
% 0.22/0.52 ((mserial @ a2) = $true)),
% 0.22/0.52 inference(cnf_transformation,[],[f93])).
% 0.22/0.52 thf(f93,plain,(
% 0.22/0.52 ((mserial @ a2) = $true)),
% 0.22/0.52 inference(fool_elimination,[],[f92])).
% 0.22/0.52 thf(f92,plain,(
% 0.22/0.52 (mserial @ a2)),
% 0.22/0.52 inference(rectify,[],[f54])).
% 0.22/0.52 thf(f54,axiom,(
% 0.22/0.52 (mserial @ a2)),
% 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2)).
% 0.22/0.52 % SZS output end Proof for theBenchmark
% 0.22/0.52 % (21090)------------------------------
% 0.22/0.52 % (21090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (21090)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (21090)Memory used [KB]: 6140
% 0.22/0.52 % (21090)Time elapsed: 0.048 s
% 0.22/0.52 % (21090)Instructions burned: 74 (million)
% 0.22/0.52 % (21090)------------------------------
% 0.22/0.52 % (21090)------------------------------
% 0.22/0.52 % (21062)Success in time 0.151 s
% 0.22/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------