TSTP Solution File: AGT033^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT033^1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 17:58:47 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : AGT033^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.13/0.15 % 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
% 0.13/0.36 % Computer : n018.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36 % CPULimit : 300
% 0.20/0.36 % WCLimit : 300
% 0.20/0.36 % DateTime : Sat May 18 18:49:53 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.36 This is a TH0_THM_EQU_NAR problem
% 0.20/0.36 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
% 0.20/0.38 % (28305)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.20/0.39 % (28301)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.39 % (28303)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.39 % (28302)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.20/0.39 % (28304)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.39 % (28307)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.39 % (28303)Instruction limit reached!
% 0.20/0.39 % (28303)------------------------------
% 0.20/0.39 % (28303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (28303)Termination reason: Unknown
% 0.20/0.39 % (28303)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (28304)Instruction limit reached!
% 0.20/0.39 % (28304)------------------------------
% 0.20/0.39 % (28304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (28304)Termination reason: Unknown
% 0.20/0.39 % (28304)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (28304)Memory used [KB]: 1023
% 0.20/0.39 % (28304)Time elapsed: 0.003 s
% 0.20/0.39 % (28304)Instructions burned: 3 (million)
% 0.20/0.39 % (28304)------------------------------
% 0.20/0.39 % (28304)------------------------------
% 0.20/0.39 % (28303)Memory used [KB]: 1023
% 0.20/0.39 % (28303)Time elapsed: 0.004 s
% 0.20/0.39 % (28303)Instructions burned: 3 (million)
% 0.20/0.39 % (28303)------------------------------
% 0.20/0.39 % (28303)------------------------------
% 0.20/0.39 % (28307)Instruction limit reached!
% 0.20/0.39 % (28307)------------------------------
% 0.20/0.39 % (28307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (28307)Termination reason: Unknown
% 0.20/0.39 % (28307)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (28307)Memory used [KB]: 1023
% 0.20/0.39 % (28307)Time elapsed: 0.003 s
% 0.20/0.39 % (28307)Instructions burned: 3 (million)
% 0.20/0.39 % (28307)------------------------------
% 0.20/0.39 % (28307)------------------------------
% 0.20/0.39 % (28301)Instruction limit reached!
% 0.20/0.39 % (28301)------------------------------
% 0.20/0.39 % (28301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (28301)Termination reason: Unknown
% 0.20/0.39 % (28301)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (28301)Memory used [KB]: 1151
% 0.20/0.39 % (28301)Time elapsed: 0.005 s
% 0.20/0.39 % (28301)Instructions burned: 5 (million)
% 0.20/0.39 % (28301)------------------------------
% 0.20/0.39 % (28301)------------------------------
% 0.20/0.39 % (28306)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.39 % (28305)Refutation not found, incomplete strategy
% 0.20/0.39 % (28305)------------------------------
% 0.20/0.39 % (28305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (28305)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.39
% 0.20/0.39 % (28300)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.39
% 0.20/0.39 % (28305)Memory used [KB]: 5628
% 0.20/0.39 % (28305)Time elapsed: 0.008 s
% 0.20/0.39 % (28305)Instructions burned: 12 (million)
% 0.20/0.39 % (28305)------------------------------
% 0.20/0.39 % (28305)------------------------------
% 0.20/0.40 % (28306)Instruction limit reached!
% 0.20/0.40 % (28306)------------------------------
% 0.20/0.40 % (28306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (28306)Termination reason: Unknown
% 0.20/0.40 % (28306)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (28306)Memory used [KB]: 1151
% 0.20/0.40 % (28306)Time elapsed: 0.010 s
% 0.20/0.40 % (28306)Instructions burned: 18 (million)
% 0.20/0.40 % (28306)------------------------------
% 0.20/0.40 % (28306)------------------------------
% 0.20/0.40 % (28302)Instruction limit reached!
% 0.20/0.40 % (28302)------------------------------
% 0.20/0.40 % (28302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (28302)Termination reason: Unknown
% 0.20/0.40 % (28302)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (28302)Memory used [KB]: 5756
% 0.20/0.40 % (28302)Time elapsed: 0.016 s
% 0.20/0.40 % (28302)Instructions burned: 27 (million)
% 0.20/0.40 % (28302)------------------------------
% 0.20/0.40 % (28302)------------------------------
% 0.20/0.40 % (28323)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (28317)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.40 % (28319)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.40 % (28316)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.40 % (28323)Instruction limit reached!
% 0.20/0.40 % (28323)------------------------------
% 0.20/0.40 % (28323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (28323)Termination reason: Unknown
% 0.20/0.40 % (28323)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (28323)Memory used [KB]: 1151
% 0.20/0.40 % (28323)Time elapsed: 0.005 s
% 0.20/0.40 % (28323)Instructions burned: 7 (million)
% 0.20/0.40 % (28323)------------------------------
% 0.20/0.40 % (28323)------------------------------
% 0.20/0.40 % (28318)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (28318)Instruction limit reached!
% 0.20/0.41 % (28318)------------------------------
% 0.20/0.41 % (28318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (28318)Termination reason: Unknown
% 0.20/0.41 % (28318)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (28318)Memory used [KB]: 1023
% 0.20/0.41 % (28318)Time elapsed: 0.003 s
% 0.20/0.41 % (28318)Instructions burned: 3 (million)
% 0.20/0.41 % (28318)------------------------------
% 0.20/0.41 % (28318)------------------------------
% 0.20/0.41 % (28317)Instruction limit reached!
% 0.20/0.41 % (28317)------------------------------
% 0.20/0.41 % (28317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (28317)Termination reason: Unknown
% 0.20/0.41 % (28317)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (28317)Memory used [KB]: 1151
% 0.20/0.41 % (28317)Time elapsed: 0.011 s
% 0.20/0.41 % (28317)Instructions burned: 16 (million)
% 0.20/0.41 % (28317)------------------------------
% 0.20/0.41 % (28317)------------------------------
% 0.20/0.41 % (28330)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.42 % (28332)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (28337)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (28337)Instruction limit reached!
% 0.20/0.42 % (28337)------------------------------
% 0.20/0.42 % (28337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (28337)Termination reason: Unknown
% 0.20/0.42 % (28337)Termination phase: shuffling
% 0.20/0.42 % (28332)Instruction limit reached!
% 0.20/0.42 % (28332)------------------------------
% 0.20/0.42 % (28332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (28332)Termination reason: Unknown
% 0.20/0.42 % (28332)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (28332)Memory used [KB]: 1023
% 0.20/0.42 % (28332)Time elapsed: 0.004 s
% 0.20/0.42 % (28332)Instructions burned: 3 (million)
% 0.20/0.42 % (28332)------------------------------
% 0.20/0.42 % (28332)------------------------------
% 0.20/0.42
% 0.20/0.42 % (28337)Memory used [KB]: 1023
% 0.20/0.42 % (28337)Time elapsed: 0.003 s
% 0.20/0.42 % (28337)Instructions burned: 4 (million)
% 0.20/0.42 % (28337)------------------------------
% 0.20/0.42 % (28337)------------------------------
% 0.20/0.42 % (28330)Instruction limit reached!
% 0.20/0.42 % (28330)------------------------------
% 0.20/0.42 % (28330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (28330)Termination reason: Unknown
% 0.20/0.42 % (28330)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (28330)Memory used [KB]: 1151
% 0.20/0.42 % (28330)Time elapsed: 0.010 s
% 0.20/0.42 % (28330)Instructions burned: 17 (million)
% 0.20/0.42 % (28330)------------------------------
% 0.20/0.42 % (28330)------------------------------
% 0.20/0.42 % (28316)Instruction limit reached!
% 0.20/0.42 % (28316)------------------------------
% 0.20/0.42 % (28316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (28338)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (28316)Termination reason: Unknown
% 0.20/0.42 % (28316)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (28316)Memory used [KB]: 5884
% 0.20/0.42 % (28316)Time elapsed: 0.020 s
% 0.20/0.42 % (28316)Instructions burned: 37 (million)
% 0.20/0.42 % (28316)------------------------------
% 0.20/0.42 % (28316)------------------------------
% 0.20/0.42 % (28338)Instruction limit reached!
% 0.20/0.42 % (28338)------------------------------
% 0.20/0.42 % (28338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (28338)Termination reason: Unknown
% 0.20/0.42 % (28338)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (28338)Memory used [KB]: 1151
% 0.20/0.42 % (28338)Time elapsed: 0.006 s
% 0.20/0.42 % (28338)Instructions burned: 7 (million)
% 0.20/0.43 % (28338)------------------------------
% 0.20/0.43 % (28338)------------------------------
% 0.20/0.43 % (28340)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (28340)Instruction limit reached!
% 0.20/0.43 % (28340)------------------------------
% 0.20/0.43 % (28340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (28344)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (28340)Termination reason: Unknown
% 0.20/0.43 % (28340)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (28340)Memory used [KB]: 1023
% 0.20/0.43 % (28340)Time elapsed: 0.004 s
% 0.20/0.43 % (28340)Instructions burned: 3 (million)
% 0.20/0.43 % (28340)------------------------------
% 0.20/0.43 % (28340)------------------------------
% 0.20/0.43 % (28344)Instruction limit reached!
% 0.20/0.43 % (28344)------------------------------
% 0.20/0.43 % (28344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (28344)Termination reason: Unknown
% 0.20/0.43 % (28344)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (28344)Memory used [KB]: 1023
% 0.20/0.43 % (28344)Time elapsed: 0.004 s
% 0.20/0.43 % (28344)Instructions burned: 4 (million)
% 0.20/0.43 % (28344)------------------------------
% 0.20/0.43 % (28344)------------------------------
% 0.20/0.43 % (28346)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (28345)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.44 % (28348)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (28351)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)
% 0.21/0.44 % (28348)Instruction limit reached!
% 0.21/0.44 % (28348)------------------------------
% 0.21/0.44 % (28348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (28348)Termination reason: Unknown
% 0.21/0.44 % (28348)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (28348)Memory used [KB]: 1151
% 0.21/0.44 % (28348)Time elapsed: 0.006 s
% 0.21/0.44 % (28348)Instructions burned: 7 (million)
% 0.21/0.44 % (28348)------------------------------
% 0.21/0.44 % (28348)------------------------------
% 0.21/0.44 % (28345)Instruction limit reached!
% 0.21/0.44 % (28345)------------------------------
% 0.21/0.44 % (28345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (28345)Termination reason: Unknown
% 0.21/0.44 % (28345)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (28345)Memory used [KB]: 5628
% 0.21/0.44 % (28346)Refutation not found, incomplete strategy
% 0.21/0.44 % (28346)------------------------------
% 0.21/0.44 % (28346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (28346)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (28346)Memory used [KB]: 5628
% 0.21/0.44 % (28346)Time elapsed: 0.012 s
% 0.21/0.44 % (28346)Instructions burned: 18 (million)
% 0.21/0.44 % (28346)------------------------------
% 0.21/0.44 % (28346)------------------------------
% 0.21/0.44 % (28345)Time elapsed: 0.012 s
% 0.21/0.44 % (28345)Instructions burned: 19 (million)
% 0.21/0.44 % (28345)------------------------------
% 0.21/0.44 % (28345)------------------------------
% 0.21/0.44 % (28357)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)
% 0.21/0.45 % (28358)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (28351)Refutation not found, incomplete strategy
% 0.21/0.45 % (28351)------------------------------
% 0.21/0.45 % (28351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (28351)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (28351)Memory used [KB]: 5628
% 0.21/0.45 % (28351)Time elapsed: 0.011 s
% 0.21/0.45 % (28351)Instructions burned: 16 (million)
% 0.21/0.45 % (28351)------------------------------
% 0.21/0.45 % (28351)------------------------------
% 0.21/0.45 % (28358)Instruction limit reached!
% 0.21/0.45 % (28358)------------------------------
% 0.21/0.45 % (28358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (28358)Termination reason: Unknown
% 0.21/0.45 % (28358)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (28358)Memory used [KB]: 1151
% 0.21/0.45 % (28358)Time elapsed: 0.005 s
% 0.21/0.45 % (28358)Instructions burned: 5 (million)
% 0.21/0.45 % (28358)------------------------------
% 0.21/0.45 % (28358)------------------------------
% 0.21/0.45 % (28357)Instruction limit reached!
% 0.21/0.45 % (28357)------------------------------
% 0.21/0.45 % (28357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (28357)Termination reason: Unknown
% 0.21/0.45 % (28357)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (28357)Memory used [KB]: 5628
% 0.21/0.45 % (28357)Time elapsed: 0.010 s
% 0.21/0.45 % (28357)Instructions burned: 23 (million)
% 0.21/0.45 % (28357)------------------------------
% 0.21/0.45 % (28357)------------------------------
% 0.21/0.46 % (28365)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)
% 0.21/0.46 % (28370)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)
% 0.21/0.46 % (28365)Instruction limit reached!
% 0.21/0.46 % (28365)------------------------------
% 0.21/0.46 % (28365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (28365)Termination reason: Unknown
% 0.21/0.46 % (28365)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (28365)Memory used [KB]: 1151
% 0.21/0.46 % (28365)Time elapsed: 0.006 s
% 0.21/0.46 % (28365)Instructions burned: 7 (million)
% 0.21/0.46 % (28365)------------------------------
% 0.21/0.46 % (28365)------------------------------
% 0.21/0.46 % (28368)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.47 % (28372)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)
% 0.21/0.47 % (28373)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)
% 0.21/0.47 % (28374)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (28375)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.47 % (28372)Refutation not found, incomplete strategy
% 0.21/0.47 % (28372)------------------------------
% 0.21/0.47 % (28372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (28372)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (28372)Memory used [KB]: 5756
% 0.21/0.47 % (28372)Time elapsed: 0.011 s
% 0.21/0.47 % (28372)Instructions burned: 17 (million)
% 0.21/0.47 % (28372)------------------------------
% 0.21/0.47 % (28372)------------------------------
% 0.21/0.48 % (28374)Instruction limit reached!
% 0.21/0.48 % (28374)------------------------------
% 0.21/0.48 % (28374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (28374)Termination reason: Unknown
% 0.21/0.48 % (28374)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (28374)Memory used [KB]: 1151
% 0.21/0.48 % (28374)Time elapsed: 0.011 s
% 0.21/0.48 % (28374)Instructions burned: 18 (million)
% 0.21/0.48 % (28374)------------------------------
% 0.21/0.48 % (28374)------------------------------
% 0.21/0.48 % (28375)Instruction limit reached!
% 0.21/0.48 % (28375)------------------------------
% 0.21/0.48 % (28375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (28375)Termination reason: Unknown
% 0.21/0.48 % (28375)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (28375)Memory used [KB]: 1023
% 0.21/0.48 % (28375)Time elapsed: 0.004 s
% 0.21/0.48 % (28375)Instructions burned: 3 (million)
% 0.21/0.48 % (28375)------------------------------
% 0.21/0.48 % (28375)------------------------------
% 0.21/0.48 % (28370)First to succeed.
% 0.21/0.49 % (28370)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% 0.21/0.49 thf(type_def_5, type, mu: $tType).
% 0.21/0.49 thf(func_def_0, type, mu: $tType).
% 0.21/0.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.49 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_33, type, a1: $i > $i > $o).
% 0.21/0.49 thf(func_def_34, type, a2: $i > $i > $o).
% 0.21/0.49 thf(func_def_35, type, a3: $i > $i > $o).
% 0.21/0.49 thf(func_def_36, type, jan: mu).
% 0.21/0.49 thf(func_def_37, type, piotr: mu).
% 0.21/0.49 thf(func_def_38, type, cola: mu).
% 0.21/0.49 thf(func_def_39, type, pepsi: mu).
% 0.21/0.49 thf(func_def_40, type, beer: mu).
% 0.21/0.49 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_62, type, sK1: $i > $i).
% 0.21/0.49 thf(func_def_63, type, sK2: mu > $i > mu > $i).
% 0.21/0.49 thf(func_def_64, type, sK3: mu > $i > mu > $i).
% 0.21/0.49 thf(func_def_65, type, sK4: mu > $i > mu > $i).
% 0.21/0.49 thf(func_def_66, type, sK5: $i > $i).
% 0.21/0.49 thf(func_def_67, type, sK6: $i > $i).
% 0.21/0.49 thf(func_def_68, type, sK7: $i > $i).
% 0.21/0.49 thf(func_def_69, type, sK8: $i > $i).
% 0.21/0.49 thf(f566,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f563])).
% 0.21/0.49 thf(f563,plain,(
% 0.21/0.49 ($true = $false)),
% 0.21/0.49 inference(superposition,[],[f555,f492])).
% 0.21/0.49 thf(f492,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (a3 @ X1 @ (sK6 @ X1)))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f490])).
% 0.21/0.49 thf(f490,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((~ (a3 @ X1 @ (sK6 @ X1))) = $false)) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f489])).
% 0.21/0.49 thf(f489,plain,(
% 0.21/0.49 ( ! [X1 : $i] : ((((~ (likes @ piotr @ pepsi @ (sK6 @ X1))) | (~ (a3 @ X1 @ (sK6 @ X1)))) = $false)) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f488])).
% 0.21/0.49 thf(f488,plain,(
% 0.21/0.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ (sK6 @ X1)) = $false)) )),
% 0.21/0.49 inference(sigma_clausification,[],[f487])).
% 0.21/0.49 thf(f487,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $false)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f486])).
% 0.21/0.49 thf(f486,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f485])).
% 0.21/0.49 thf(f485,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1))))))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f298])).
% 0.21/0.49 thf(f298,plain,(
% 0.21/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1)))))))))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f278])).
% 0.21/0.49 thf(f278,plain,(
% 0.21/0.49 ($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))))),
% 0.21/0.49 inference(definition_unfolding,[],[f229,f225,f273])).
% 0.21/0.49 thf(f273,plain,(
% 0.21/0.49 (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)))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f228,f244,f250,f244])).
% 0.21/0.49 thf(f250,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f79])).
% 0.21/0.49 thf(f79,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f78])).
% 0.21/0.49 thf(f78,plain,(
% 0.21/0.49 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.21/0.49 inference(rectify,[],[f16])).
% 0.21/0.49 thf(f16,axiom,(
% 0.21/0.49 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.21/0.49 thf(f244,plain,(
% 0.21/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f155])).
% 0.21/0.49 thf(f155,plain,(
% 0.21/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.49 inference(fool_elimination,[],[f154])).
% 0.21/0.49 thf(f154,plain,(
% 0.21/0.49 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.21/0.49 inference(rectify,[],[f3])).
% 0.21/0.49 thf(f3,axiom,(
% 0.21/0.49 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.21/0.49 thf(f228,plain,(
% 0.21/0.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f93])).
% 0.21/0.49 thf(f93,plain,(
% 0.21/0.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.21/0.49 inference(fool_elimination,[],[f92])).
% 0.21/0.49 thf(f92,plain,(
% 0.21/0.49 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
% 0.21/0.49 inference(rectify,[],[f17])).
% 0.21/0.49 thf(f17,axiom,(
% 0.21/0.49 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 0.21/0.49 thf(f225,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(cnf_transformation,[],[f173])).
% 0.21/0.49 thf(f173,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(fool_elimination,[],[f172])).
% 0.21/0.49 thf(f172,plain,(
% 0.21/0.49 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.21/0.49 inference(rectify,[],[f28])).
% 0.21/0.49 thf(f28,axiom,(
% 0.21/0.49 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.49 thf(f229,plain,(
% 0.21/0.49 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f179])).
% 0.21/0.49 thf(f179,plain,(
% 0.21/0.49 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
% 0.21/0.49 inference(fool_elimination,[],[f178])).
% 0.21/0.49 thf(f178,plain,(
% 0.21/0.49 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 0.21/0.49 inference(rectify,[],[f42])).
% 0.21/0.49 thf(f42,axiom,(
% 0.21/0.49 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2)).
% 0.21/0.49 thf(f555,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (((a3 @ sK9 @ (sK6 @ X0)) = $false)) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f550])).
% 0.21/0.49 thf(f550,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (((a3 @ sK9 @ (sK6 @ X0)) = $false) | ($true = $false)) )),
% 0.21/0.49 inference(superposition,[],[f493,f538])).
% 0.21/0.49 thf(f538,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ($false = (a3 @ sK9 @ X2))) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f536])).
% 0.21/0.49 thf(f536,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ($false = (a3 @ sK9 @ X2)) | ($true = $false)) )),
% 0.21/0.49 inference(superposition,[],[f332,f514])).
% 0.21/0.49 thf(f514,plain,(
% 0.21/0.49 ( ! [X2 : mu,X1 : mu] : (($false = (possibly_likes @ X1 @ X2 @ sK9))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f513])).
% 0.21/0.49 thf(f513,plain,(
% 0.21/0.49 ( ! [X2 : mu,X1 : mu] : (((~ (possibly_likes @ X1 @ X2 @ sK9)) = $true)) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f512])).
% 0.21/0.49 thf(f512,plain,(
% 0.21/0.49 ( ! [X2 : mu,X1 : mu] : (($true = ((^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK9))) @ X2))) )),
% 0.21/0.49 inference(pi_clausification,[],[f511])).
% 0.21/0.49 thf(f511,plain,(
% 0.21/0.49 ( ! [X1 : mu] : (($true = (!! @ mu @ (^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK9)))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f510])).
% 0.21/0.49 thf(f510,plain,(
% 0.21/0.49 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9))))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f509])).
% 0.21/0.49 thf(f509,plain,(
% 0.21/0.49 ($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9)))))))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f508])).
% 0.21/0.49 thf(f508,plain,(
% 0.21/0.49 ((~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9))))))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f507])).
% 0.21/0.49 thf(f507,plain,(
% 0.21/0.49 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))) @ sK9) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f506])).
% 0.21/0.49 thf(f506,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0))))))))) = $false)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f294])).
% 0.21/0.49 thf(f294,plain,(
% 0.21/0.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))))),
% 0.21/0.49 inference(boolean_simplification,[],[f293])).
% 0.21/0.49 thf(f293,plain,(
% 0.21/0.49 ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))))) = $true)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f282])).
% 0.21/0.49 thf(f282,plain,(
% 0.21/0.49 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f238,f225,f272,f272])).
% 0.21/0.49 thf(f272,plain,(
% 0.21/0.49 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f227,f244,f245,f244])).
% 0.21/0.49 thf(f245,plain,(
% 0.21/0.49 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f129])).
% 0.21/0.49 thf(f129,plain,(
% 0.21/0.49 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.49 inference(fool_elimination,[],[f128])).
% 0.21/0.49 thf(f128,plain,(
% 0.21/0.49 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 0.21/0.49 inference(rectify,[],[f10])).
% 0.21/0.49 thf(f10,axiom,(
% 0.21/0.49 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.21/0.49 thf(f227,plain,(
% 0.21/0.49 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f151])).
% 0.21/0.49 thf(f151,plain,(
% 0.21/0.49 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.21/0.49 inference(fool_elimination,[],[f150])).
% 0.21/0.49 thf(f150,plain,(
% 0.21/0.49 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 0.21/0.49 inference(rectify,[],[f12])).
% 0.21/0.49 thf(f12,axiom,(
% 0.21/0.49 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.21/0.49 thf(f238,plain,(
% 0.21/0.49 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f175])).
% 0.21/0.49 thf(f175,plain,(
% 0.21/0.49 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f174])).
% 0.21/0.49 thf(f174,plain,(
% 0.21/0.49 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
% 0.21/0.49 inference(rectify,[],[f74])).
% 0.21/0.49 thf(f74,negated_conjecture,(
% 0.21/0.49 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
% 0.21/0.49 inference(negated_conjecture,[],[f73])).
% 0.21/0.49 thf(f73,conjecture,(
% 0.21/0.49 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.21/0.49 thf(f332,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ((a3 @ X1 @ X4) = $false) | ($false = (likes @ X2 @ X3 @ X4))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f331])).
% 0.21/0.49 thf(f331,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1)) | ((a3 @ X1 @ X4) = $false)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f330])).
% 0.21/0.49 thf(f330,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (~ (a3 @ X1 @ X4))) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f329])).
% 0.21/0.49 thf(f329,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = ((~ (likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f328])).
% 0.21/0.49 thf(f328,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4)) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f327])).
% 0.21/0.49 thf(f327,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f326])).
% 0.21/0.49 thf(f326,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)) = $true)) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f325])).
% 0.21/0.49 thf(f325,plain,(
% 0.21/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 0.21/0.49 inference(pi_clausification,[],[f324])).
% 0.21/0.49 thf(f324,plain,(
% 0.21/0.49 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f323])).
% 0.21/0.49 thf(f323,plain,(
% 0.21/0.49 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2))) )),
% 0.21/0.49 inference(pi_clausification,[],[f322])).
% 0.21/0.49 thf(f322,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f321])).
% 0.21/0.49 thf(f321,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f320])).
% 0.21/0.49 thf(f320,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 0.21/0.49 inference(boolean_simplification,[],[f319])).
% 0.21/0.49 thf(f319,plain,(
% 0.21/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f289])).
% 0.21/0.49 thf(f289,plain,(
% 0.21/0.49 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f262,f225,f245,f245,f268,f273])).
% 0.21/0.49 thf(f268,plain,(
% 0.21/0.49 (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)))))),
% 0.21/0.49 inference(definition_unfolding,[],[f256,f222,f244])).
% 0.21/0.49 thf(f222,plain,(
% 0.21/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f85])).
% 0.21/0.49 thf(f85,plain,(
% 0.21/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f84])).
% 0.21/0.49 thf(f84,plain,(
% 0.21/0.49 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.21/0.49 inference(rectify,[],[f4])).
% 0.21/0.49 thf(f4,axiom,(
% 0.21/0.49 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.21/0.49 thf(f256,plain,(
% 0.21/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.49 inference(cnf_transformation,[],[f109])).
% 0.21/0.49 thf(f109,plain,(
% 0.21/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.49 inference(fool_elimination,[],[f108])).
% 0.21/0.49 thf(f108,plain,(
% 0.21/0.49 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.21/0.49 inference(rectify,[],[f6])).
% 0.21/0.49 thf(f6,axiom,(
% 0.21/0.49 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.21/0.49 thf(f262,plain,(
% 0.21/0.49 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f184])).
% 0.21/0.49 thf(f184,plain,(
% 0.21/0.49 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f183])).
% 0.21/0.49 thf(f183,plain,(
% 0.21/0.49 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.21/0.49 inference(rectify,[],[f49])).
% 0.21/0.49 thf(f49,axiom,(
% 0.21/0.49 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5)).
% 0.21/0.49 thf(f493,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (likes @ piotr @ pepsi @ (sK6 @ X1)))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f491])).
% 0.21/0.49 thf(f491,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((~ (likes @ piotr @ pepsi @ (sK6 @ X1))) = $false)) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f489])).
% 0.21/0.49 % SZS output end Proof for theBenchmark
% 0.21/0.49 % (28370)------------------------------
% 0.21/0.49 % (28370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (28370)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (28370)Memory used [KB]: 6012
% 0.21/0.49 % (28370)Time elapsed: 0.050 s
% 0.21/0.49 % (28370)Instructions burned: 55 (million)
% 0.21/0.49 % (28370)------------------------------
% 0.21/0.49 % (28370)------------------------------
% 0.21/0.49 % (28297)Success in time 0.123 s
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------