TSTP Solution File: AGT041^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : AGT041^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 17:58:50 EDT 2024

% Result   : Theorem 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : AGT041^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 18:53:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  % (8238)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (8235)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (8236)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.39  % (8237)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.39  % (8239)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (8240)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.39  % (8241)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  % (8238)Instruction limit reached!
% 0.22/0.39  % (8238)------------------------------
% 0.22/0.39  % (8238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8238)Termination reason: Unknown
% 0.22/0.39  % (8238)Termination phase: shuffling
% 0.22/0.39  
% 0.22/0.39  % (8239)Instruction limit reached!
% 0.22/0.39  % (8239)------------------------------
% 0.22/0.39  % (8239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8239)Termination reason: Unknown
% 0.22/0.39  % (8239)Termination phase: shuffling
% 0.22/0.39  
% 0.22/0.39  % (8239)Memory used [KB]: 1023
% 0.22/0.39  % (8239)Time elapsed: 0.003 s
% 0.22/0.39  % (8239)Instructions burned: 3 (million)
% 0.22/0.39  % (8239)------------------------------
% 0.22/0.39  % (8239)------------------------------
% 0.22/0.39  % (8238)Memory used [KB]: 1023
% 0.22/0.39  % (8238)Time elapsed: 0.003 s
% 0.22/0.39  % (8238)Instructions burned: 3 (million)
% 0.22/0.39  % (8238)------------------------------
% 0.22/0.39  % (8238)------------------------------
% 0.22/0.39  % (8242)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  % (8236)Instruction limit reached!
% 0.22/0.39  % (8236)------------------------------
% 0.22/0.39  % (8236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8236)Termination reason: Unknown
% 0.22/0.39  % (8236)Termination phase: shuffling
% 0.22/0.39  
% 0.22/0.39  % (8236)Memory used [KB]: 1023
% 0.22/0.39  % (8236)Time elapsed: 0.004 s
% 0.22/0.39  % (8236)Instructions burned: 4 (million)
% 0.22/0.39  % (8236)------------------------------
% 0.22/0.39  % (8236)------------------------------
% 0.22/0.39  % (8242)Instruction limit reached!
% 0.22/0.39  % (8242)------------------------------
% 0.22/0.39  % (8242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8242)Termination reason: Unknown
% 0.22/0.39  % (8242)Termination phase: shuffling
% 0.22/0.39  
% 0.22/0.39  % (8242)Memory used [KB]: 1023
% 0.22/0.39  % (8242)Time elapsed: 0.004 s
% 0.22/0.39  % (8242)Instructions burned: 4 (million)
% 0.22/0.39  % (8242)------------------------------
% 0.22/0.39  % (8242)------------------------------
% 0.22/0.39  % (8240)Refutation not found, incomplete strategy
% 0.22/0.39  % (8240)------------------------------
% 0.22/0.39  % (8240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8240)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39  
% 0.22/0.39  
% 0.22/0.39  % (8240)Memory used [KB]: 5628
% 0.22/0.39  % (8240)Time elapsed: 0.010 s
% 0.22/0.39  % (8240)Instructions burned: 14 (million)
% 0.22/0.39  % (8240)------------------------------
% 0.22/0.39  % (8240)------------------------------
% 0.22/0.39  % (8241)Instruction limit reached!
% 0.22/0.39  % (8241)------------------------------
% 0.22/0.39  % (8241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (8241)Termination reason: Unknown
% 0.22/0.39  % (8241)Termination phase: Property scanning
% 0.22/0.39  
% 0.22/0.39  % (8241)Memory used [KB]: 1151
% 0.22/0.39  % (8241)Time elapsed: 0.011 s
% 0.22/0.39  % (8241)Instructions burned: 20 (million)
% 0.22/0.39  % (8241)------------------------------
% 0.22/0.39  % (8241)------------------------------
% 0.22/0.40  % (8237)Instruction limit reached!
% 0.22/0.40  % (8237)------------------------------
% 0.22/0.40  % (8237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (8237)Termination reason: Unknown
% 0.22/0.40  % (8237)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (8237)Memory used [KB]: 5756
% 0.22/0.40  % (8237)Time elapsed: 0.015 s
% 0.22/0.40  % (8237)Instructions burned: 27 (million)
% 0.22/0.40  % (8237)------------------------------
% 0.22/0.40  % (8237)------------------------------
% 0.22/0.40  % (8244)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)
% 0.22/0.40  % (8243)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  % (8245)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  % (8245)Instruction limit reached!
% 0.22/0.40  % (8245)------------------------------
% 0.22/0.40  % (8245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (8246)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  % (8245)Termination reason: Unknown
% 0.22/0.40  % (8245)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (8245)Memory used [KB]: 1023
% 0.22/0.40  % (8245)Time elapsed: 0.003 s
% 0.22/0.40  % (8245)Instructions burned: 3 (million)
% 0.22/0.40  % (8245)------------------------------
% 0.22/0.40  % (8245)------------------------------
% 0.22/0.41  % (8244)Instruction limit reached!
% 0.22/0.41  % (8244)------------------------------
% 0.22/0.41  % (8244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (8244)Termination reason: Unknown
% 0.22/0.41  % (8244)Termination phase: Property scanning
% 0.22/0.41  
% 0.22/0.41  % (8244)Memory used [KB]: 1151
% 0.22/0.41  % (8244)Time elapsed: 0.009 s
% 0.22/0.41  % (8244)Instructions burned: 15 (million)
% 0.22/0.41  % (8244)------------------------------
% 0.22/0.41  % (8244)------------------------------
% 0.22/0.41  % (8247)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  % (8248)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41  % (8247)Instruction limit reached!
% 0.22/0.41  % (8247)------------------------------
% 0.22/0.41  % (8247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (8247)Termination reason: Unknown
% 0.22/0.41  % (8247)Termination phase: Property scanning
% 0.22/0.41  
% 0.22/0.41  % (8247)Memory used [KB]: 1151
% 0.22/0.41  % (8247)Time elapsed: 0.006 s
% 0.22/0.41  % (8247)Instructions burned: 8 (million)
% 0.22/0.41  % (8247)------------------------------
% 0.22/0.41  % (8247)------------------------------
% 0.22/0.41  % (8249)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  % (8249)Instruction limit reached!
% 0.22/0.42  % (8249)------------------------------
% 0.22/0.42  % (8249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (8249)Termination reason: Unknown
% 0.22/0.42  % (8249)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (8249)Memory used [KB]: 1023
% 0.22/0.42  % (8249)Time elapsed: 0.004 s
% 0.22/0.42  % (8249)Instructions burned: 4 (million)
% 0.22/0.42  % (8249)------------------------------
% 0.22/0.42  % (8249)------------------------------
% 0.22/0.42  % (8248)Instruction limit reached!
% 0.22/0.42  % (8248)------------------------------
% 0.22/0.42  % (8248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (8248)Termination reason: Unknown
% 0.22/0.42  % (8248)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (8248)Memory used [KB]: 1151
% 0.22/0.42  % (8248)Time elapsed: 0.010 s
% 0.22/0.42  % (8248)Instructions burned: 17 (million)
% 0.22/0.42  % (8248)------------------------------
% 0.22/0.42  % (8248)------------------------------
% 0.22/0.42  % (8250)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)
% 0.22/0.42  % (8243)Instruction limit reached!
% 0.22/0.42  % (8243)------------------------------
% 0.22/0.42  % (8243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (8243)Termination reason: Unknown
% 0.22/0.42  % (8243)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (8243)Memory used [KB]: 5884
% 0.22/0.42  % (8243)Time elapsed: 0.020 s
% 0.22/0.42  % (8243)Instructions burned: 38 (million)
% 0.22/0.42  % (8243)------------------------------
% 0.22/0.42  % (8243)------------------------------
% 0.22/0.42  % (8250)Instruction limit reached!
% 0.22/0.42  % (8250)------------------------------
% 0.22/0.42  % (8250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (8250)Termination reason: Unknown
% 0.22/0.42  % (8250)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (8250)Memory used [KB]: 1023
% 0.22/0.42  % (8250)Time elapsed: 0.004 s
% 0.22/0.42  % (8250)Instructions burned: 4 (million)
% 0.22/0.42  % (8250)------------------------------
% 0.22/0.42  % (8250)------------------------------
% 0.22/0.42  % (8251)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  % (8251)Instruction limit reached!
% 0.22/0.43  % (8251)------------------------------
% 0.22/0.43  % (8251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (8251)Termination reason: Unknown
% 0.22/0.43  % (8251)Termination phase: Property scanning
% 0.22/0.43  
% 0.22/0.43  % (8251)Memory used [KB]: 1151
% 0.22/0.43  % (8251)Time elapsed: 0.005 s
% 0.22/0.43  % (8251)Instructions burned: 7 (million)
% 0.22/0.43  % (8251)------------------------------
% 0.22/0.43  % (8251)------------------------------
% 0.22/0.43  % (8252)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  % (8253)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.43  % (8252)Instruction limit reached!
% 0.22/0.43  % (8252)------------------------------
% 0.22/0.43  % (8252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (8252)Termination reason: Unknown
% 0.22/0.43  % (8252)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (8252)Memory used [KB]: 1023
% 0.22/0.43  % (8252)Time elapsed: 0.004 s
% 0.22/0.43  % (8252)Instructions burned: 4 (million)
% 0.22/0.43  % (8252)------------------------------
% 0.22/0.43  % (8252)------------------------------
% 0.22/0.43  % (8254)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)
% 0.22/0.43  % (8253)Instruction limit reached!
% 0.22/0.43  % (8253)------------------------------
% 0.22/0.43  % (8253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (8253)Termination reason: Unknown
% 0.22/0.43  % (8253)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (8253)Memory used [KB]: 1151
% 0.22/0.43  % (8253)Time elapsed: 0.004 s
% 0.22/0.43  % (8253)Instructions burned: 5 (million)
% 0.22/0.43  % (8253)------------------------------
% 0.22/0.43  % (8253)------------------------------
% 0.22/0.43  % (8255)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43  % (8256)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44  % (8256)Instruction limit reached!
% 0.22/0.44  % (8256)------------------------------
% 0.22/0.44  % (8256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (8256)Termination reason: Unknown
% 0.22/0.44  % (8256)Termination phase: Property scanning
% 0.22/0.44  
% 0.22/0.44  % (8256)Memory used [KB]: 1151
% 0.22/0.44  % (8256)Time elapsed: 0.005 s
% 0.22/0.44  % (8256)Instructions burned: 6 (million)
% 0.22/0.44  % (8256)------------------------------
% 0.22/0.44  % (8256)------------------------------
% 0.22/0.44  % (8257)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)
% 0.22/0.44  % (8254)Instruction limit reached!
% 0.22/0.44  % (8254)------------------------------
% 0.22/0.44  % (8254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (8254)Termination reason: Unknown
% 0.22/0.44  % (8254)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (8254)Memory used [KB]: 5628
% 0.22/0.44  % (8254)Time elapsed: 0.011 s
% 0.22/0.44  % (8254)Instructions burned: 18 (million)
% 0.22/0.44  % (8254)------------------------------
% 0.22/0.44  % (8254)------------------------------
% 0.22/0.44  % (8258)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.45  % (8259)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.45  % (8259)Instruction limit reached!
% 0.22/0.45  % (8259)------------------------------
% 0.22/0.45  % (8259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (8259)Termination reason: Unknown
% 0.22/0.45  % (8259)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (8259)Memory used [KB]: 1151
% 0.22/0.45  % (8259)Time elapsed: 0.004 s
% 0.22/0.45  % (8259)Instructions burned: 5 (million)
% 0.22/0.45  % (8259)------------------------------
% 0.22/0.45  % (8259)------------------------------
% 0.22/0.45  % (8257)Refutation not found, incomplete strategy
% 0.22/0.45  % (8257)------------------------------
% 0.22/0.45  % (8257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (8257)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45  
% 0.22/0.45  
% 0.22/0.45  % (8257)Memory used [KB]: 5628
% 0.22/0.45  % (8257)Time elapsed: 0.010 s
% 0.22/0.45  % (8257)Instructions burned: 16 (million)
% 0.22/0.45  % (8257)------------------------------
% 0.22/0.45  % (8257)------------------------------
% 0.22/0.45  % (8255)Refutation not found, incomplete strategy
% 0.22/0.45  % (8255)------------------------------
% 0.22/0.45  % (8255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (8255)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45  
% 0.22/0.45  
% 0.22/0.45  % (8255)Memory used [KB]: 5756
% 0.22/0.45  % (8255)Time elapsed: 0.040 s
% 0.22/0.45  % (8255)Instructions burned: 29 (million)
% 0.22/0.45  % (8255)------------------------------
% 0.22/0.45  % (8255)------------------------------
% 0.22/0.45  % (8260)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)
% 0.22/0.45  % (8258)Instruction limit reached!
% 0.22/0.45  % (8258)------------------------------
% 0.22/0.45  % (8258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (8258)Termination reason: Unknown
% 0.22/0.45  % (8258)Termination phase: Property scanning
% 0.22/0.45  
% 0.22/0.45  % (8258)Memory used [KB]: 1151
% 0.22/0.45  % (8258)Time elapsed: 0.012 s
% 0.22/0.45  % (8258)Instructions burned: 21 (million)
% 0.22/0.45  % (8258)------------------------------
% 0.22/0.45  % (8258)------------------------------
% 0.22/0.45  % (8260)Instruction limit reached!
% 0.22/0.45  % (8260)------------------------------
% 0.22/0.45  % (8260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (8260)Termination reason: Unknown
% 0.22/0.45  % (8260)Termination phase: Property scanning
% 0.22/0.45  
% 0.22/0.45  % (8260)Memory used [KB]: 1151
% 0.22/0.45  % (8260)Time elapsed: 0.005 s
% 0.22/0.45  % (8260)Instructions burned: 7 (million)
% 0.22/0.46  % (8260)------------------------------
% 0.22/0.46  % (8260)------------------------------
% 0.22/0.46  % (8261)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46  % (8262)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)
% 0.22/0.46  % (8263)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.47  % (8264)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)
% 0.22/0.47  % (8265)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.47  % (8266)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.47  % (8266)Instruction limit reached!
% 0.22/0.47  % (8266)------------------------------
% 0.22/0.47  % (8266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (8266)Termination reason: Unknown
% 0.22/0.47  % (8266)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (8266)Memory used [KB]: 1023
% 0.22/0.47  % (8266)Time elapsed: 0.004 s
% 0.22/0.47  % (8266)Instructions burned: 4 (million)
% 0.22/0.47  % (8266)------------------------------
% 0.22/0.47  % (8266)------------------------------
% 0.22/0.47  % (8263)Instruction limit reached!
% 0.22/0.47  % (8263)------------------------------
% 0.22/0.47  % (8263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (8263)Termination reason: Unknown
% 0.22/0.47  % (8263)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (8263)Memory used [KB]: 5756
% 0.22/0.47  % (8263)Time elapsed: 0.012 s
% 0.22/0.47  % (8263)Instructions burned: 20 (million)
% 0.22/0.47  % (8263)------------------------------
% 0.22/0.47  % (8263)------------------------------
% 0.22/0.48  % (8265)Instruction limit reached!
% 0.22/0.48  % (8265)------------------------------
% 0.22/0.48  % (8265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (8265)Termination reason: Unknown
% 0.22/0.48  % (8265)Termination phase: Property scanning
% 0.22/0.48  
% 0.22/0.48  % (8265)Memory used [KB]: 1151
% 0.22/0.48  % (8265)Time elapsed: 0.010 s
% 0.22/0.48  % (8265)Instructions burned: 18 (million)
% 0.22/0.48  % (8265)------------------------------
% 0.22/0.48  % (8265)------------------------------
% 0.22/0.49  % (8267)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.49  % (8264)Refutation not found, incomplete strategy
% 0.22/0.49  % (8264)------------------------------
% 0.22/0.49  % (8264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (8264)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  % (8264)Memory used [KB]: 5884
% 0.22/0.49  % (8264)Time elapsed: 0.021 s
% 0.22/0.49  % (8264)Instructions burned: 35 (million)
% 0.22/0.49  % (8264)------------------------------
% 0.22/0.49  % (8264)------------------------------
% 0.22/0.49  % (8235)Instruction limit reached!
% 0.22/0.49  % (8235)------------------------------
% 0.22/0.49  % (8235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (8235)Termination reason: Unknown
% 0.22/0.49  % (8235)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (8235)Memory used [KB]: 6652
% 0.22/0.49  % (8235)Time elapsed: 0.105 s
% 0.22/0.49  % (8235)Instructions burned: 184 (million)
% 0.22/0.49  % (8235)------------------------------
% 0.22/0.49  % (8235)------------------------------
% 0.22/0.49  % (8268)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.49  % (8262)First to succeed.
% 0.22/0.49  % (8269)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)
% 0.22/0.49  % (8262)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Theorem for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% 0.22/0.49  thf(type_def_5, type, mu: $tType).
% 0.22/0.49  thf(func_def_0, type, mu: $tType).
% 0.22/0.49  thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.49  thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.49  thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.49  thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49  thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.49  thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.49  thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.49  thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.49  thf(func_def_33, type, a1: $i > $i > $o).
% 0.22/0.49  thf(func_def_34, type, a2: $i > $i > $o).
% 0.22/0.49  thf(func_def_35, type, a3: $i > $i > $o).
% 0.22/0.49  thf(func_def_36, type, jan: mu).
% 0.22/0.49  thf(func_def_37, type, piotr: mu).
% 0.22/0.49  thf(func_def_38, type, cola: mu).
% 0.22/0.49  thf(func_def_39, type, pepsi: mu).
% 0.22/0.49  thf(func_def_40, type, beer: mu).
% 0.22/0.49  thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.22/0.49  thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.22/0.49  thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.22/0.49  thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.49  thf(func_def_62, type, sK1: $i > $i).
% 0.22/0.49  thf(func_def_63, type, sK2: $i > $i).
% 0.22/0.49  thf(func_def_64, type, sK3: mu > $i > mu > $i).
% 0.22/0.49  thf(func_def_65, type, sK4: mu > $i > mu > $i).
% 0.22/0.49  thf(func_def_66, type, sK5: mu > $i > mu > $i).
% 0.22/0.49  thf(func_def_67, type, sK6: $i > $i).
% 0.22/0.49  thf(func_def_68, type, sK7: $i > $i).
% 0.22/0.49  thf(func_def_70, type, sK9: $i > $i).
% 0.22/0.49  thf(f544,plain,(
% 0.22/0.49    $false),
% 0.22/0.49    inference(trivial_inequality_removal,[],[f542])).
% 0.22/0.49  thf(f542,plain,(
% 0.22/0.49    ($true = $false)),
% 0.22/0.49    inference(superposition,[],[f536,f394])).
% 0.22/0.49  thf(f394,plain,(
% 0.22/0.49    ( ! [X1 : $i] : (($true = (a1 @ X1 @ (sK2 @ X1)))) )),
% 0.22/0.49    inference(not_proxy_clausification,[],[f392])).
% 0.22/0.49  thf(f392,plain,(
% 0.22/0.49    ( ! [X1 : $i] : (((~ (a1 @ X1 @ (sK2 @ X1))) = $false)) )),
% 0.22/0.49    inference(binary_proxy_clausification,[],[f391])).
% 0.22/0.49  thf(f391,plain,(
% 0.22/0.49    ( ! [X1 : $i] : ((((~ (likes @ piotr @ beer @ (sK2 @ X1))) | (~ (a1 @ X1 @ (sK2 @ X1)))) = $false)) )),
% 0.22/0.49    inference(beta_eta_normalization,[],[f390])).
% 0.22/0.49  thf(f390,plain,(
% 0.22/0.49    ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ (sK2 @ X1)) = $false)) )),
% 0.22/0.49    inference(sigma_clausification,[],[f389])).
% 0.22/0.49  thf(f389,plain,(
% 0.22/0.49    ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0))))))) )),
% 0.22/0.49    inference(not_proxy_clausification,[],[f388])).
% 0.22/0.49  thf(f388,plain,(
% 0.22/0.49    ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))))))) )),
% 0.22/0.49    inference(beta_eta_normalization,[],[f387])).
% 0.22/0.49  thf(f387,plain,(
% 0.22/0.49    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1))))))) @ X1))) )),
% 0.22/0.49    inference(pi_clausification,[],[f307])).
% 0.22/0.49  thf(f307,plain,(
% 0.22/0.49    ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1)))))))))),
% 0.22/0.49    inference(beta_eta_normalization,[],[f273])).
% 0.22/0.49  thf(f273,plain,(
% 0.22/0.49    ($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)))))) @ a1 @ (likes @ piotr @ beer))))),
% 0.22/0.49    inference(definition_unfolding,[],[f223,f244,f271])).
% 0.22/0.49  thf(f271,plain,(
% 0.22/0.49    (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)))))))),
% 0.22/0.49    inference(definition_unfolding,[],[f235,f230,f220,f230])).
% 0.22/0.49  thf(f220,plain,(
% 0.22/0.49    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.49    inference(cnf_transformation,[],[f152])).
% 0.22/0.49  thf(f152,plain,(
% 0.22/0.49    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.49    inference(fool_elimination,[],[f151])).
% 0.22/0.49  thf(f151,plain,(
% 0.22/0.49    ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.22/0.49    inference(rectify,[],[f16])).
% 0.22/0.49  thf(f16,axiom,(
% 0.22/0.49    ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.22/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.22/0.49  thf(f230,plain,(
% 0.22/0.49    (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.49    inference(cnf_transformation,[],[f166])).
% 0.22/0.49  thf(f166,plain,(
% 0.22/0.49    (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.49    inference(fool_elimination,[],[f165])).
% 0.22/0.49  thf(f165,plain,(
% 0.22/0.49    ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.49    inference(rectify,[],[f3])).
% 0.22/0.49  thf(f3,axiom,(
% 0.22/0.49    ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.22/0.49  thf(f235,plain,(
% 0.22/0.49    (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.49    inference(cnf_transformation,[],[f93])).
% 0.22/0.49  thf(f93,plain,(
% 0.22/0.49    (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.49    inference(fool_elimination,[],[f92])).
% 0.22/0.49  thf(f92,plain,(
% 0.22/0.49    ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 0.22/0.49    inference(rectify,[],[f17])).
% 0.22/0.49  thf(f17,axiom,(
% 0.22/0.49    ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 0.22/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 0.22/0.49  thf(f244,plain,(
% 0.22/0.49    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.49    inference(cnf_transformation,[],[f126])).
% 0.22/0.49  thf(f126,plain,(
% 0.22/0.49    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.49    inference(fool_elimination,[],[f125])).
% 0.22/0.49  thf(f125,plain,(
% 0.22/0.49    ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.49    inference(rectify,[],[f28])).
% 0.22/0.49  thf(f28,axiom,(
% 0.22/0.49    ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.49  thf(f223,plain,(
% 0.22/0.49    ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 0.22/0.49    inference(cnf_transformation,[],[f98])).
% 0.22/0.49  thf(f98,plain,(
% 0.22/0.49    ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 0.22/0.49    inference(fool_elimination,[],[f97])).
% 0.22/0.49  thf(f97,plain,(
% 0.22/0.49    (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 0.22/0.49    inference(rectify,[],[f43])).
% 0.22/0.49  thf(f43,axiom,(
% 0.22/0.49    (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 0.22/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3)).
% 0.22/0.49  thf(f536,plain,(
% 0.22/0.49    ( ! [X0 : $i] : (((a1 @ sK8 @ (sK2 @ X0)) = $false)) )),
% 0.22/0.50    inference(trivial_inequality_removal,[],[f533])).
% 0.22/0.50  thf(f533,plain,(
% 0.22/0.50    ( ! [X0 : $i] : (((a1 @ sK8 @ (sK2 @ X0)) = $false) | ($true = $false)) )),
% 0.22/0.50    inference(superposition,[],[f529,f395])).
% 0.22/0.50  thf(f395,plain,(
% 0.22/0.50    ( ! [X1 : $i] : (($true = (likes @ piotr @ beer @ (sK2 @ X1)))) )),
% 0.22/0.50    inference(not_proxy_clausification,[],[f393])).
% 0.22/0.50  thf(f393,plain,(
% 0.22/0.50    ( ! [X1 : $i] : (((~ (likes @ piotr @ beer @ (sK2 @ X1))) = $false)) )),
% 0.22/0.50    inference(binary_proxy_clausification,[],[f391])).
% 0.22/0.50  thf(f529,plain,(
% 0.22/0.50    ( ! [X0 : $i] : (($false = (likes @ piotr @ beer @ X0)) | ((a1 @ sK8 @ X0) = $false)) )),
% 0.22/0.50    inference(trivial_inequality_removal,[],[f528])).
% 0.22/0.50  thf(f528,plain,(
% 0.22/0.50    ( ! [X0 : $i] : (($false = (likes @ piotr @ beer @ X0)) | ($true = $false) | ((a1 @ sK8 @ X0) = $false)) )),
% 0.22/0.50    inference(superposition,[],[f470,f329])).
% 0.22/0.50  thf(f329,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($false = (likes @ X2 @ X3 @ X4)) | ((a1 @ X1 @ X4) = $false)) )),
% 0.22/0.50    inference(not_proxy_clausification,[],[f328])).
% 0.22/0.50  thf(f328,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (~ (a1 @ X1 @ X4))) | ($false = (likes @ X2 @ X3 @ X4))) )),
% 0.22/0.50    inference(not_proxy_clausification,[],[f327])).
% 0.22/0.50  thf(f327,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (~ (a1 @ X1 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.50    inference(binary_proxy_clausification,[],[f326])).
% 0.22/0.50  thf(f326,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (likes @ X2 @ X3 @ X4)) | (~ (a1 @ X1 @ X4)))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.50    inference(beta_eta_normalization,[],[f325])).
% 0.22/0.50  thf(f325,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ X4) = $true) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.50    inference(pi_clausification,[],[f324])).
% 0.22/0.50  thf(f324,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.50    inference(binary_proxy_clausification,[],[f323])).
% 0.22/0.50  thf(f323,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((possibly_likes @ X2 @ X3 @ X1) | (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))))))) )),
% 0.22/0.50    inference(beta_eta_normalization,[],[f322])).
% 0.22/0.50  thf(f322,plain,(
% 0.22/0.50    ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1))))))) @ X3) = $true)) )),
% 0.22/0.50    inference(pi_clausification,[],[f321])).
% 0.22/0.50  thf(f321,plain,(
% 0.22/0.50    ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1)))))))))) )),
% 0.22/0.50    inference(beta_eta_normalization,[],[f320])).
% 0.22/0.50  thf(f320,plain,(
% 0.22/0.50    ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2))))))))) @ X2))) )),
% 0.22/0.50    inference(pi_clausification,[],[f319])).
% 0.22/0.50  thf(f319,plain,(
% 0.22/0.50    ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2)))))))))))) )),
% 0.22/0.50    inference(beta_eta_normalization,[],[f318])).
% 0.22/0.50  thf(f318,plain,(
% 0.22/0.50    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3))))))))))) @ X1))) )),
% 0.22/0.50    inference(pi_clausification,[],[f317])).
% 0.22/0.50  thf(f317,plain,(
% 0.22/0.50    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))))),
% 0.22/0.50    inference(boolean_simplification,[],[f316])).
% 0.22/0.50  thf(f316,plain,(
% 0.22/0.50    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))))))),
% 0.22/0.50    inference(beta_eta_normalization,[],[f279])).
% 0.22/0.50  thf(f279,plain,(
% 0.22/0.50    ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.50    inference(definition_unfolding,[],[f237,f244,f248,f248,f267,f271])).
% 0.22/0.50  thf(f267,plain,(
% 0.22/0.50    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.50    inference(definition_unfolding,[],[f264,f251,f230])).
% 0.22/0.50  thf(f251,plain,(
% 0.22/0.50    (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.50    inference(cnf_transformation,[],[f116])).
% 0.22/0.50  thf(f116,plain,(
% 0.22/0.50    (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.50    inference(fool_elimination,[],[f115])).
% 0.22/0.50  thf(f115,plain,(
% 0.22/0.50    (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.22/0.50    inference(rectify,[],[f4])).
% 0.22/0.50  thf(f4,axiom,(
% 0.22/0.50    (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.22/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.22/0.50  thf(f264,plain,(
% 0.22/0.50    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.50    inference(cnf_transformation,[],[f212])).
% 0.22/0.50  thf(f212,plain,(
% 0.22/0.50    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.50    inference(fool_elimination,[],[f211])).
% 0.22/0.50  thf(f211,plain,(
% 0.22/0.50    ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.50    inference(rectify,[],[f6])).
% 0.22/0.50  thf(f6,axiom,(
% 0.22/0.50    ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.50  thf(f248,plain,(
% 0.22/0.50    (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50    inference(cnf_transformation,[],[f77])).
% 0.22/0.50  thf(f77,plain,(
% 0.22/0.50    (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50    inference(fool_elimination,[],[f76])).
% 0.22/0.50  thf(f76,plain,(
% 0.22/0.50    (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 0.22/0.50    inference(rectify,[],[f10])).
% 0.22/0.50  thf(f10,axiom,(
% 0.22/0.50    (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 0.22/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 0.22/0.50  thf(f237,plain,(
% 0.22/0.50    ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.50    inference(cnf_transformation,[],[f120])).
% 0.22/0.50  thf(f120,plain,(
% 0.22/0.50    ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.50    inference(fool_elimination,[],[f119])).
% 0.22/0.50  thf(f119,plain,(
% 0.22/0.50    (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.50    inference(rectify,[],[f47])).
% 0.22/0.50  thf(f47,axiom,(
% 0.22/0.50    (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_3)).
% 0.22/0.50  thf(f470,plain,(
% 0.22/0.50    ($false = (possibly_likes @ piotr @ beer @ sK8))),
% 0.22/0.50    inference(sigma_clausification,[],[f469])).
% 0.22/0.50  thf(f469,plain,(
% 0.22/0.50    ($false = (!! @ $i @ (possibly_likes @ piotr @ beer)))),
% 0.22/0.50    inference(not_proxy_clausification,[],[f297])).
% 0.22/0.50  thf(f297,plain,(
% 0.22/0.50    ((~ (!! @ $i @ (possibly_likes @ piotr @ beer))) = $true)),
% 0.22/0.50    inference(beta_eta_normalization,[],[f283])).
% 0.22/0.50  thf(f283,plain,(
% 0.22/0.50    ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ piotr @ beer))) = $true)),
% 0.22/0.50    inference(definition_unfolding,[],[f252,f244])).
% 0.22/0.50  thf(f252,plain,(
% 0.22/0.50    ((~ (mvalid @ (possibly_likes @ piotr @ beer))) = $true)),
% 0.22/0.50    inference(cnf_transformation,[],[f183])).
% 0.22/0.50  thf(f183,plain,(
% 0.22/0.50    ((~ (mvalid @ (possibly_likes @ piotr @ beer))) = $true)),
% 0.22/0.50    inference(fool_elimination,[],[f182])).
% 0.22/0.50  thf(f182,plain,(
% 0.22/0.50    ~(mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.50    inference(rectify,[],[f74])).
% 0.22/0.50  thf(f74,negated_conjecture,(
% 0.22/0.50    ~(mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.50    inference(negated_conjecture,[],[f73])).
% 0.22/0.50  thf(f73,conjecture,(
% 0.22/0.50    (mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.50  % SZS output end Proof for theBenchmark
% 0.22/0.50  % (8262)------------------------------
% 0.22/0.50  % (8262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50  % (8262)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (8262)Memory used [KB]: 6012
% 0.22/0.50  % (8262)Time elapsed: 0.032 s
% 0.22/0.50  % (8262)Instructions burned: 52 (million)
% 0.22/0.50  % (8262)------------------------------
% 0.22/0.50  % (8262)------------------------------
% 0.22/0.50  % (8234)Success in time 0.13 s
% 0.22/0.50  % Vampire---4.8 exiting
%------------------------------------------------------------------------------