TSTP Solution File: SET002^4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET002^4 : TPTP v8.2.0. Released v8.1.0.
% 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 : n008.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 : Tue May 21 03:07:33 EDT 2024

% Result   : Theorem 0.15s 0.46s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SET002^4 : TPTP v8.2.0. Released v8.1.0.
% 0.09/0.10  % 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
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 13:29:53 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a TH0_THM_EQU_NAR problem
% 0.09/0.30  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.31  % (7532)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.31  % (7536)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)
% 0.15/0.31  % (7536)Instruction limit reached!
% 0.15/0.31  % (7536)------------------------------
% 0.15/0.31  % (7536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.31  % (7536)Termination reason: Unknown
% 0.15/0.31  % (7536)Termination phase: shuffling
% 0.15/0.31  
% 0.15/0.31  % (7536)Memory used [KB]: 1023
% 0.15/0.31  % (7536)Time elapsed: 0.002 s
% 0.15/0.31  % (7536)Instructions burned: 3 (million)
% 0.15/0.31  % (7536)------------------------------
% 0.15/0.31  % (7536)------------------------------
% 0.15/0.32  % (7534)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.32  % (7535)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.32  % (7539)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)
% 0.15/0.32  % (7538)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.32  % (7535)Instruction limit reached!
% 0.15/0.32  % (7535)------------------------------
% 0.15/0.32  % (7535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32  % (7535)Termination reason: Unknown
% 0.15/0.32  % (7535)Termination phase: shuffling
% 0.15/0.32  
% 0.15/0.32  % (7535)Memory used [KB]: 1023
% 0.15/0.32  % (7535)Time elapsed: 0.003 s
% 0.15/0.32  % (7535)Instructions burned: 4 (million)
% 0.15/0.32  % (7535)------------------------------
% 0.15/0.32  % (7535)------------------------------
% 0.15/0.32  % (7537)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.32  % (7539)Instruction limit reached!
% 0.15/0.32  % (7539)------------------------------
% 0.15/0.32  % (7539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32  % (7539)Termination reason: Unknown
% 0.15/0.32  % (7539)Termination phase: shuffling
% 0.15/0.32  
% 0.15/0.32  % (7539)Memory used [KB]: 1023
% 0.15/0.32  % (7539)Time elapsed: 0.003 s
% 0.15/0.32  % (7539)Instructions burned: 4 (million)
% 0.15/0.32  % (7539)------------------------------
% 0.15/0.32  % (7539)------------------------------
% 0.15/0.32  % (7533)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.32  % (7533)Instruction limit reached!
% 0.15/0.32  % (7533)------------------------------
% 0.15/0.32  % (7533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32  % (7533)Termination reason: Unknown
% 0.15/0.32  % (7533)Termination phase: shuffling
% 0.15/0.32  
% 0.15/0.32  % (7533)Memory used [KB]: 1023
% 0.15/0.32  % (7533)Time elapsed: 0.003 s
% 0.15/0.32  % (7533)Instructions burned: 4 (million)
% 0.15/0.32  % (7533)------------------------------
% 0.15/0.32  % (7533)------------------------------
% 0.15/0.32  % (7537)Refutation not found, incomplete strategy
% 0.15/0.32  % (7537)------------------------------
% 0.15/0.32  % (7537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32  % (7537)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32  
% 0.15/0.32  
% 0.15/0.32  % (7537)Memory used [KB]: 5628
% 0.15/0.32  % (7537)Time elapsed: 0.006 s
% 0.15/0.32  % (7537)Instructions burned: 13 (million)
% 0.15/0.32  % (7537)------------------------------
% 0.15/0.32  % (7537)------------------------------
% 0.15/0.33  % (7538)Instruction limit reached!
% 0.15/0.33  % (7538)------------------------------
% 0.15/0.33  % (7538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (7538)Termination reason: Unknown
% 0.15/0.33  % (7538)Termination phase: Property scanning
% 0.15/0.33  
% 0.15/0.33  % (7538)Memory used [KB]: 1151
% 0.15/0.33  % (7538)Time elapsed: 0.010 s
% 0.15/0.33  % (7538)Instructions burned: 20 (million)
% 0.15/0.33  % (7538)------------------------------
% 0.15/0.33  % (7538)------------------------------
% 0.15/0.33  % (7534)Instruction limit reached!
% 0.15/0.33  % (7534)------------------------------
% 0.15/0.33  % (7534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (7534)Termination reason: Unknown
% 0.15/0.33  % (7534)Termination phase: Saturation
% 0.15/0.33  
% 0.15/0.33  % (7534)Memory used [KB]: 5756
% 0.15/0.33  % (7534)Time elapsed: 0.011 s
% 0.15/0.33  % (7534)Instructions burned: 30 (million)
% 0.15/0.33  % (7534)------------------------------
% 0.15/0.33  % (7534)------------------------------
% 0.15/0.33  % (7546)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)
% 0.15/0.33  % (7548)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)
% 0.15/0.33  % (7550)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)
% 0.15/0.33  % (7549)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)
% 0.15/0.33  % (7549)Instruction limit reached!
% 0.15/0.33  % (7549)------------------------------
% 0.15/0.33  % (7549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (7549)Termination reason: Unknown
% 0.15/0.33  % (7549)Termination phase: shuffling
% 0.15/0.33  
% 0.15/0.33  % (7549)Memory used [KB]: 1023
% 0.15/0.33  % (7549)Time elapsed: 0.003 s
% 0.15/0.33  % (7549)Instructions burned: 4 (million)
% 0.15/0.33  % (7549)------------------------------
% 0.15/0.33  % (7549)------------------------------
% 0.15/0.34  % (7553)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.34  % (7548)Instruction limit reached!
% 0.15/0.34  % (7548)------------------------------
% 0.15/0.34  % (7548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (7548)Termination reason: Unknown
% 0.15/0.34  % (7548)Termination phase: Property scanning
% 0.15/0.34  
% 0.15/0.34  % (7548)Memory used [KB]: 1151
% 0.15/0.34  % (7548)Time elapsed: 0.008 s
% 0.15/0.34  % (7548)Instructions burned: 16 (million)
% 0.15/0.34  % (7548)------------------------------
% 0.15/0.34  % (7548)------------------------------
% 0.15/0.34  % (7551)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.34  % (7554)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)
% 0.15/0.34  % (7554)Instruction limit reached!
% 0.15/0.34  % (7554)------------------------------
% 0.15/0.34  % (7554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (7553)Instruction limit reached!
% 0.15/0.34  % (7553)------------------------------
% 0.15/0.34  % (7553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (7553)Termination reason: Unknown
% 0.15/0.34  % (7553)Termination phase: shuffling
% 0.15/0.34  
% 0.15/0.34  % (7553)Memory used [KB]: 1151
% 0.15/0.34  % (7553)Time elapsed: 0.006 s
% 0.15/0.34  % (7553)Instructions burned: 16 (million)
% 0.15/0.34  % (7553)------------------------------
% 0.15/0.34  % (7553)------------------------------
% 0.15/0.34  % (7554)Termination reason: Unknown
% 0.15/0.34  % (7554)Termination phase: shuffling
% 0.15/0.34  
% 0.15/0.34  % (7554)Memory used [KB]: 1023
% 0.15/0.34  % (7554)Time elapsed: 0.003 s
% 0.15/0.34  % (7554)Instructions burned: 3 (million)
% 0.15/0.34  % (7554)------------------------------
% 0.15/0.34  % (7554)------------------------------
% 0.15/0.34  % (7551)Instruction limit reached!
% 0.15/0.34  % (7551)------------------------------
% 0.15/0.34  % (7551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34  % (7551)Termination reason: Unknown
% 0.15/0.34  % (7551)Termination phase: Property scanning
% 0.15/0.34  
% 0.15/0.34  % (7551)Memory used [KB]: 1151
% 0.15/0.34  % (7551)Time elapsed: 0.005 s
% 0.15/0.34  % (7551)Instructions burned: 8 (million)
% 0.15/0.34  % (7551)------------------------------
% 0.15/0.34  % (7551)------------------------------
% 0.15/0.35  % (7546)Instruction limit reached!
% 0.15/0.35  % (7546)------------------------------
% 0.15/0.35  % (7546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35  % (7546)Termination reason: Unknown
% 0.15/0.35  % (7546)Termination phase: Saturation
% 0.15/0.35  
% 0.15/0.35  % (7546)Memory used [KB]: 6012
% 0.15/0.35  % (7546)Time elapsed: 0.017 s
% 0.15/0.35  % (7546)Instructions burned: 38 (million)
% 0.15/0.35  % (7546)------------------------------
% 0.15/0.35  % (7546)------------------------------
% 0.15/0.35  % (7557)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)
% 0.15/0.35  % (7558)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)
% 0.15/0.35  % (7557)Instruction limit reached!
% 0.15/0.35  % (7557)------------------------------
% 0.15/0.35  % (7557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35  % (7557)Termination reason: Unknown
% 0.15/0.35  % (7557)Termination phase: Property scanning
% 0.15/0.35  
% 0.15/0.35  % (7557)Memory used [KB]: 1151
% 0.15/0.35  % (7557)Time elapsed: 0.004 s
% 0.15/0.35  % (7557)Instructions burned: 8 (million)
% 0.15/0.35  % (7557)------------------------------
% 0.15/0.35  % (7557)------------------------------
% 0.15/0.35  % (7556)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)
% 0.15/0.35  % (7558)Instruction limit reached!
% 0.15/0.35  % (7558)------------------------------
% 0.15/0.35  % (7558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35  % (7558)Termination reason: Unknown
% 0.15/0.35  % (7558)Termination phase: shuffling
% 0.15/0.35  
% 0.15/0.35  % (7558)Memory used [KB]: 1023
% 0.15/0.35  % (7558)Time elapsed: 0.002 s
% 0.15/0.35  % (7558)Instructions burned: 5 (million)
% 0.15/0.35  % (7558)------------------------------
% 0.15/0.35  % (7558)------------------------------
% 0.15/0.35  % (7556)Instruction limit reached!
% 0.15/0.35  % (7556)------------------------------
% 0.15/0.35  % (7556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35  % (7556)Termination reason: Unknown
% 0.15/0.35  % (7556)Termination phase: shuffling
% 0.15/0.35  
% 0.15/0.35  % (7556)Memory used [KB]: 1023
% 0.15/0.35  % (7556)Time elapsed: 0.003 s
% 0.15/0.35  % (7556)Instructions burned: 4 (million)
% 0.15/0.35  % (7556)------------------------------
% 0.15/0.35  % (7556)------------------------------
% 0.15/0.35  % (7559)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.36  % (7559)Instruction limit reached!
% 0.15/0.36  % (7559)------------------------------
% 0.15/0.36  % (7559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36  % (7559)Termination reason: Unknown
% 0.15/0.36  % (7559)Termination phase: shuffling
% 0.15/0.36  
% 0.15/0.36  % (7559)Memory used [KB]: 1023
% 0.15/0.36  % (7559)Time elapsed: 0.003 s
% 0.15/0.36  % (7559)Instructions burned: 4 (million)
% 0.15/0.36  % (7559)------------------------------
% 0.15/0.36  % (7559)------------------------------
% 0.15/0.36  % (7561)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.36  % (7562)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.36  % (7562)Instruction limit reached!
% 0.15/0.36  % (7562)------------------------------
% 0.15/0.36  % (7562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36  % (7562)Termination reason: Unknown
% 0.15/0.36  % (7562)Termination phase: shuffling
% 0.15/0.36  
% 0.15/0.36  % (7562)Memory used [KB]: 1151
% 0.15/0.36  % (7562)Time elapsed: 0.003 s
% 0.15/0.36  % (7562)Instructions burned: 6 (million)
% 0.15/0.36  % (7562)------------------------------
% 0.15/0.36  % (7562)------------------------------
% 0.15/0.36  % (7563)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)
% 0.15/0.37  % (7565)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.37  % (7565)Instruction limit reached!
% 0.15/0.37  % (7565)------------------------------
% 0.15/0.37  % (7565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (7565)Termination reason: Unknown
% 0.15/0.37  % (7565)Termination phase: Property scanning
% 0.15/0.37  
% 0.15/0.37  % (7565)Memory used [KB]: 1151
% 0.15/0.37  % (7565)Time elapsed: 0.003 s
% 0.15/0.37  % (7565)Instructions burned: 7 (million)
% 0.15/0.37  % (7565)------------------------------
% 0.15/0.37  % (7565)------------------------------
% 0.15/0.37  % (7560)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)
% 0.15/0.37  % (7563)Refutation not found, incomplete strategy
% 0.15/0.37  % (7563)------------------------------
% 0.15/0.37  % (7563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (7563)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37  
% 0.15/0.37  
% 0.15/0.37  % (7563)Memory used [KB]: 5628
% 0.15/0.37  % (7563)Time elapsed: 0.030 s
% 0.15/0.37  % (7563)Instructions burned: 16 (million)
% 0.15/0.37  % (7563)------------------------------
% 0.15/0.37  % (7563)------------------------------
% 0.15/0.37  % (7564)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)
% 0.15/0.38  % (7560)Instruction limit reached!
% 0.15/0.38  % (7560)------------------------------
% 0.15/0.38  % (7560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (7560)Termination reason: Unknown
% 0.15/0.38  % (7560)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (7560)Memory used [KB]: 5628
% 0.15/0.38  % (7560)Time elapsed: 0.009 s
% 0.15/0.38  % (7560)Instructions burned: 18 (million)
% 0.15/0.38  % (7560)------------------------------
% 0.15/0.38  % (7560)------------------------------
% 0.15/0.38  % (7567)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.38  % (7564)Instruction limit reached!
% 0.15/0.38  % (7564)------------------------------
% 0.15/0.38  % (7564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (7564)Termination reason: Unknown
% 0.15/0.38  % (7564)Termination phase: Property scanning
% 0.15/0.38  
% 0.15/0.38  % (7564)Memory used [KB]: 1151
% 0.15/0.38  % (7564)Time elapsed: 0.009 s
% 0.15/0.38  % (7564)Instructions burned: 21 (million)
% 0.15/0.38  % (7564)------------------------------
% 0.15/0.38  % (7564)------------------------------
% 0.15/0.38  % (7561)Refutation not found, incomplete strategy
% 0.15/0.38  % (7561)------------------------------
% 0.15/0.38  % (7561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (7561)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (7561)Memory used [KB]: 5884
% 0.15/0.38  % (7561)Time elapsed: 0.048 s
% 0.15/0.38  % (7561)Instructions burned: 45 (million)
% 0.15/0.38  % (7561)------------------------------
% 0.15/0.38  % (7561)------------------------------
% 0.15/0.38  % (7566)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)
% 0.15/0.38  % (7566)Instruction limit reached!
% 0.15/0.38  % (7566)------------------------------
% 0.15/0.38  % (7566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (7566)Termination reason: Unknown
% 0.15/0.38  % (7566)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (7566)Memory used [KB]: 1151
% 0.15/0.38  % (7566)Time elapsed: 0.003 s
% 0.15/0.38  % (7566)Instructions burned: 6 (million)
% 0.15/0.38  % (7566)------------------------------
% 0.15/0.38  % (7566)------------------------------
% 0.15/0.38  % (7568)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)
% 0.15/0.39  % (7569)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)
% 0.15/0.39  % (7570)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)
% 0.15/0.40  % (7571)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.15/0.40  % (7569)Refutation not found, incomplete strategy
% 0.15/0.40  % (7569)------------------------------
% 0.15/0.40  % (7569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (7569)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (7569)Memory used [KB]: 5628
% 0.15/0.40  % (7569)Time elapsed: 0.009 s
% 0.15/0.40  % (7569)Instructions burned: 16 (million)
% 0.15/0.40  % (7569)------------------------------
% 0.15/0.40  % (7569)------------------------------
% 0.15/0.40  % (7572)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40  % (7532)Instruction limit reached!
% 0.15/0.40  % (7532)------------------------------
% 0.15/0.40  % (7532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (7532)Termination reason: Unknown
% 0.15/0.40  % (7532)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (7532)Memory used [KB]: 6908
% 0.15/0.40  % (7532)Time elapsed: 0.083 s
% 0.15/0.40  % (7532)Instructions burned: 185 (million)
% 0.15/0.40  % (7532)------------------------------
% 0.15/0.40  % (7532)------------------------------
% 0.15/0.40  % (7572)Instruction limit reached!
% 0.15/0.40  % (7572)------------------------------
% 0.15/0.40  % (7572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (7572)Termination reason: Unknown
% 0.15/0.40  % (7572)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (7572)Memory used [KB]: 1023
% 0.15/0.40  % (7572)Time elapsed: 0.003 s
% 0.15/0.40  % (7572)Instructions burned: 4 (million)
% 0.15/0.40  % (7572)------------------------------
% 0.15/0.40  % (7572)------------------------------
% 0.15/0.40  % (7571)Instruction limit reached!
% 0.15/0.40  % (7571)------------------------------
% 0.15/0.40  % (7571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (7571)Termination reason: Unknown
% 0.15/0.40  % (7571)Termination phase: Property scanning
% 0.15/0.40  
% 0.15/0.40  % (7571)Memory used [KB]: 1151
% 0.15/0.40  % (7571)Time elapsed: 0.009 s
% 0.15/0.40  % (7571)Instructions burned: 19 (million)
% 0.15/0.40  % (7571)------------------------------
% 0.15/0.40  % (7571)------------------------------
% 0.15/0.41  % (7574)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.15/0.41  % (7573)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.41  % (7568)Refutation not found, incomplete strategy
% 0.15/0.41  % (7568)------------------------------
% 0.15/0.41  % (7568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (7568)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  % (7568)Memory used [KB]: 5756
% 0.15/0.41  % (7568)Time elapsed: 0.026 s
% 0.15/0.41  % (7568)Instructions burned: 61 (million)
% 0.15/0.41  % (7568)------------------------------
% 0.15/0.41  % (7568)------------------------------
% 0.15/0.41  % (7576)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 (2999ds/3Mi)
% 0.15/0.41  % (7575)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.41  % (7576)Instruction limit reached!
% 0.15/0.41  % (7576)------------------------------
% 0.15/0.41  % (7576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (7576)Termination reason: Unknown
% 0.15/0.41  % (7576)Termination phase: shuffling
% 0.15/0.41  
% 0.15/0.41  % (7576)Memory used [KB]: 1023
% 0.15/0.41  % (7576)Time elapsed: 0.002 s
% 0.15/0.41  % (7576)Instructions burned: 4 (million)
% 0.15/0.41  % (7576)------------------------------
% 0.15/0.41  % (7576)------------------------------
% 0.15/0.42  % (7577)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)
% 0.15/0.42  % (7573)Instruction limit reached!
% 0.15/0.42  % (7573)------------------------------
% 0.15/0.42  % (7573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42  % (7573)Termination reason: Unknown
% 0.15/0.42  % (7573)Termination phase: Saturation
% 0.15/0.42  
% 0.15/0.42  % (7573)Memory used [KB]: 5756
% 0.15/0.42  % (7573)Time elapsed: 0.014 s
% 0.15/0.42  % (7573)Instructions burned: 30 (million)
% 0.15/0.42  % (7573)------------------------------
% 0.15/0.42  % (7573)------------------------------
% 0.15/0.42  % (7578)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)
% 0.15/0.43  % (7577)Instruction limit reached!
% 0.15/0.43  % (7577)------------------------------
% 0.15/0.43  % (7577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43  % (7577)Termination reason: Unknown
% 0.15/0.43  % (7577)Termination phase: Saturation
% 0.15/0.43  
% 0.15/0.43  % (7577)Memory used [KB]: 5628
% 0.15/0.43  % (7577)Time elapsed: 0.010 s
% 0.15/0.43  % (7577)Instructions burned: 21 (million)
% 0.15/0.43  % (7577)------------------------------
% 0.15/0.43  % (7577)------------------------------
% 0.15/0.44  % (7579)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.15/0.44  % (7580)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.15/0.45  % (7579)Refutation not found, incomplete strategy
% 0.15/0.45  % (7579)------------------------------
% 0.15/0.45  % (7579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45  % (7579)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.45  
% 0.15/0.45  
% 0.15/0.45  % (7579)Memory used [KB]: 5628
% 0.15/0.45  % (7579)Time elapsed: 0.013 s
% 0.15/0.45  % (7579)Instructions burned: 24 (million)
% 0.15/0.45  % (7579)------------------------------
% 0.15/0.45  % (7579)------------------------------
% 0.15/0.45  % (7574)First to succeed.
% 0.15/0.46  % (7574)Refutation found. Thanks to Tanya!
% 0.15/0.46  % SZS status Theorem for theBenchmark
% 0.15/0.46  % SZS output start Proof for theBenchmark
% 0.15/0.46  thf(type_def_5, type, mworld: $tType).
% 0.15/0.46  thf(func_def_0, type, mworld: $tType).
% 0.15/0.46  thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.15/0.46  thf(func_def_2, type, mactual: mworld).
% 0.15/0.46  thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.15/0.46  thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.46  thf(func_def_15, type, qmltpeq: $i > $i > mworld > $o).
% 0.15/0.46  thf(func_def_16, type, equal_set: $i > $i > mworld > $o).
% 0.15/0.46  thf(func_def_17, type, member: $i > $i > mworld > $o).
% 0.15/0.46  thf(func_def_18, type, subset: $i > $i > mworld > $o).
% 0.15/0.46  thf(func_def_19, type, singleton: $i > $i).
% 0.15/0.46  thf(func_def_20, type, product: $i > $i).
% 0.15/0.46  thf(func_def_21, type, unordered_pair: $i > $i > $i).
% 0.15/0.46  thf(func_def_22, type, intersection: $i > $i > $i).
% 0.15/0.46  thf(func_def_23, type, difference: $i > $i > $i).
% 0.15/0.46  thf(func_def_24, type, sum: $i > $i).
% 0.15/0.46  thf(func_def_25, type, union: $i > $i > $i).
% 0.15/0.46  thf(func_def_26, type, power_set: $i > $i).
% 0.15/0.46  thf(func_def_40, type, sK0: mworld > mworld).
% 0.15/0.46  thf(func_def_45, type, ph3: !>[X0: $tType]:(X0)).
% 0.15/0.46  thf(f662,plain,(
% 0.15/0.46    $false),
% 0.15/0.46    inference(avatar_sat_refutation,[],[f457,f603,f661])).
% 0.15/0.46  thf(f661,plain,(
% 0.15/0.46    ~spl1_1),
% 0.15/0.46    inference(avatar_contradiction_clause,[],[f660])).
% 0.15/0.46  thf(f660,plain,(
% 0.15/0.46    $false | ~spl1_1),
% 0.15/0.46    inference(trivial_inequality_removal,[],[f659])).
% 0.15/0.46  thf(f659,plain,(
% 0.15/0.46    ($true = $false) | ~spl1_1),
% 0.15/0.46    inference(forward_demodulation,[],[f655,f626])).
% 0.15/0.46  thf(f626,plain,(
% 0.15/0.46    ((member @ sK5 @ sK2 @ mactual) = $false) | ~spl1_1),
% 0.15/0.46    inference(binary_proxy_clausification,[],[f625])).
% 0.15/0.46  thf(f625,plain,(
% 0.15/0.46    ($false = ((member @ sK5 @ (union @ sK2 @ sK2) @ mactual) => (member @ sK5 @ sK2 @ mactual))) | ~spl1_1),
% 0.15/0.46    inference(beta_eta_normalization,[],[f624])).
% 0.15/0.46  thf(f624,plain,(
% 0.15/0.46    ($false = ((^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual))) @ sK5)) | ~spl1_1),
% 0.15/0.46    inference(sigma_clausification,[],[f623])).
% 0.15/0.46  thf(f623,plain,(
% 0.15/0.46    ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual))))) | ~spl1_1),
% 0.15/0.46    inference(not_proxy_clausification,[],[f622])).
% 0.15/0.46  thf(f622,plain,(
% 0.15/0.46    ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual)))))) | ~spl1_1),
% 0.15/0.46    inference(boolean_simplification,[],[f613])).
% 0.15/0.46  thf(f613,plain,(
% 0.15/0.46    ($true = ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual)))) = $false)) | ~spl1_1),
% 0.15/0.46    inference(superposition,[],[f341,f452])).
% 0.15/0.46  thf(f452,plain,(
% 0.15/0.46    ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false) | ~spl1_1),
% 0.15/0.46    inference(avatar_component_clause,[],[f450])).
% 0.15/0.46  thf(f450,plain,(
% 0.15/0.46    spl1_1 <=> ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false)),
% 0.15/0.46    introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.15/0.46  thf(f341,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual)))) = (subset @ X1 @ X2 @ mactual)))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f340])).
% 0.15/0.46  thf(f340,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual))) @ X2) = $true)) )),
% 0.15/0.46    inference(pi_clausification,[],[f339])).
% 0.15/0.46  thf(f339,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual)))))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f338])).
% 0.15/0.46  thf(f338,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual))))) @ X1))) )),
% 0.15/0.46    inference(pi_clausification,[],[f337])).
% 0.15/0.46  thf(f337,plain,(
% 0.15/0.46    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual)))))))),
% 0.15/0.46    inference(beta_eta_normalization,[],[f188])).
% 0.15/0.46  thf(f188,plain,(
% 0.15/0.46    ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.15/0.46    inference(definition_unfolding,[],[f147,f170,f172,f172,f175,f172,f176])).
% 0.15/0.46  thf(f176,plain,(
% 0.15/0.46    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f115])).
% 0.15/0.46  thf(f115,plain,(
% 0.15/0.46    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f114])).
% 0.15/0.46  thf(f114,plain,(
% 0.15/0.46    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.15/0.46    inference(rectify,[],[f5])).
% 0.15/0.46  thf(f5,axiom,(
% 0.15/0.46    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.15/0.46  thf(f175,plain,(
% 0.15/0.46    (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f131])).
% 0.15/0.46  thf(f131,plain,(
% 0.15/0.46    (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f130])).
% 0.15/0.46  thf(f130,plain,(
% 0.15/0.46    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))) = mequiv)),
% 0.15/0.46    inference(rectify,[],[f6])).
% 0.15/0.46  thf(f6,axiom,(
% 0.15/0.46    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) <=> (X1 @ X2))) = mequiv)),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def)).
% 0.15/0.46  thf(f172,plain,(
% 0.15/0.46    (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f117])).
% 0.15/0.46  thf(f117,plain,(
% 0.15/0.46    (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.15/0.46    inference(fool_elimination,[],[f116])).
% 0.15/0.46  thf(f116,plain,(
% 0.15/0.46    ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
% 0.15/0.46    inference(rectify,[],[f10])).
% 0.15/0.46  thf(f10,axiom,(
% 0.15/0.46    ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))) = mforall_di)),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.15/0.46  thf(f170,plain,(
% 0.15/0.46    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.46    inference(cnf_transformation,[],[f57])).
% 0.15/0.46  thf(f57,plain,(
% 0.15/0.46    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.46    inference(fool_elimination,[],[f1])).
% 0.15/0.46  thf(f1,axiom,(
% 0.15/0.46    (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.15/0.46  thf(f147,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f54])).
% 0.15/0.46  thf(f54,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f53])).
% 0.15/0.46  thf(f53,plain,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
% 0.15/0.46    inference(rectify,[],[f33])).
% 0.15/0.46  thf(f33,axiom,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (subset @ X1 @ X3) @ (mforall_di @ (^[X5 : $i] : (mimplies @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_0)).
% 0.15/0.46  thf(f655,plain,(
% 0.15/0.46    ($true = (member @ sK5 @ sK2 @ mactual)) | ~spl1_1),
% 0.15/0.46    inference(boolean_simplification,[],[f654])).
% 0.15/0.46  thf(f654,plain,(
% 0.15/0.46    (((member @ sK5 @ sK2 @ mactual) | (member @ sK5 @ sK2 @ mactual)) = $true) | ~spl1_1),
% 0.15/0.46    inference(boolean_simplification,[],[f646])).
% 0.15/0.46  thf(f646,plain,(
% 0.15/0.46    ($true = (((member @ sK5 @ sK2 @ mactual) | (member @ sK5 @ sK2 @ mactual)) = $true)) | ~spl1_1),
% 0.15/0.46    inference(superposition,[],[f438,f627])).
% 0.15/0.46  thf(f627,plain,(
% 0.15/0.46    ($true = (member @ sK5 @ (union @ sK2 @ sK2) @ mactual)) | ~spl1_1),
% 0.15/0.46    inference(binary_proxy_clausification,[],[f625])).
% 0.15/0.46  thf(f438,plain,(
% 0.15/0.46    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((member @ X1 @ X2 @ mactual) | (member @ X1 @ X3 @ mactual)) = (member @ X1 @ (union @ X2 @ X3) @ mactual)))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f437])).
% 0.15/0.46  thf(f437,plain,(
% 0.15/0.46    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((member @ X1 @ X2 @ mactual) | (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (union @ X2 @ Y0) @ mactual))) @ X3))) )),
% 0.15/0.46    inference(pi_clausification,[],[f436])).
% 0.15/0.46  thf(f436,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((member @ X1 @ X2 @ mactual) | (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (union @ X2 @ Y0) @ mactual)))))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f435])).
% 0.15/0.46  thf(f435,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y0 @ mactual) | (member @ X1 @ Y1 @ mactual)) = (member @ X1 @ (union @ Y0 @ Y1) @ mactual))))) @ X2))) )),
% 0.15/0.46    inference(pi_clausification,[],[f434])).
% 0.15/0.46  thf(f434,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y0 @ mactual) | (member @ X1 @ Y1 @ mactual)) = (member @ X1 @ (union @ Y0 @ Y1) @ mactual)))))))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f433])).
% 0.15/0.46  thf(f433,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y1 @ mactual) | (member @ Y0 @ Y2 @ mactual)) = (member @ Y0 @ (union @ Y1 @ Y2) @ mactual))))))) @ X1))) )),
% 0.15/0.46    inference(pi_clausification,[],[f432])).
% 0.15/0.46  thf(f432,plain,(
% 0.15/0.46    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y1 @ mactual) | (member @ Y0 @ Y2 @ mactual)) = (member @ Y0 @ (union @ Y1 @ Y2) @ mactual)))))))))),
% 0.15/0.46    inference(beta_eta_normalization,[],[f186])).
% 0.15/0.46  thf(f186,plain,(
% 0.15/0.46    ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) = (Y3 @ Y5))))))) @ (member @ Y0 @ (union @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.15/0.46    inference(definition_unfolding,[],[f145,f170,f172,f172,f172,f175,f162])).
% 0.15/0.46  thf(f162,plain,(
% 0.15/0.46    (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f81])).
% 0.15/0.46  thf(f81,plain,(
% 0.15/0.46    (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f80])).
% 0.15/0.46  thf(f80,plain,(
% 0.15/0.46    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.15/0.46    inference(rectify,[],[f4])).
% 0.15/0.46  thf(f4,axiom,(
% 0.15/0.46    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) | (X1 @ X2))) = mor)),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def)).
% 0.15/0.46  thf(f145,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (union @ Y1 @ Y2)) @ (mor @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f129])).
% 0.15/0.46  thf(f129,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (union @ Y1 @ Y2)) @ (mor @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f128])).
% 0.15/0.46  thf(f128,plain,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X0 @ (union @ X1 @ X2)) @ (mor @ (member @ X0 @ X1) @ (member @ X0 @ X2))))))))))),
% 0.15/0.46    inference(rectify,[],[f37])).
% 0.15/0.46  thf(f37,axiom,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X5 @ (union @ X1 @ X3)) @ (mor @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_0)).
% 0.15/0.46  thf(f603,plain,(
% 0.15/0.46    ~spl1_2),
% 0.15/0.46    inference(avatar_contradiction_clause,[],[f602])).
% 0.15/0.46  thf(f602,plain,(
% 0.15/0.46    $false | ~spl1_2),
% 0.15/0.46    inference(trivial_inequality_removal,[],[f597])).
% 0.15/0.46  thf(f597,plain,(
% 0.15/0.46    ($true = $false) | ~spl1_2),
% 0.15/0.46    inference(backward_demodulation,[],[f475,f591])).
% 0.15/0.46  thf(f591,plain,(
% 0.15/0.46    ($false = (member @ sK4 @ sK2 @ mactual)) | ~spl1_2),
% 0.15/0.46    inference(not_proxy_clausification,[],[f590])).
% 0.15/0.46  thf(f590,plain,(
% 0.15/0.46    ($true = (~ (member @ sK4 @ sK2 @ mactual))) | ~spl1_2),
% 0.15/0.46    inference(boolean_simplification,[],[f589])).
% 0.15/0.46  thf(f589,plain,(
% 0.15/0.46    ($true = (~ ((member @ sK4 @ sK2 @ mactual) | (member @ sK4 @ sK2 @ mactual)))) | ~spl1_2),
% 0.15/0.46    inference(boolean_simplification,[],[f557])).
% 0.15/0.46  thf(f557,plain,(
% 0.15/0.46    ($true = (((member @ sK4 @ sK2 @ mactual) | (member @ sK4 @ sK2 @ mactual)) = $false)) | ~spl1_2),
% 0.15/0.46    inference(superposition,[],[f438,f474])).
% 0.15/0.46  thf(f474,plain,(
% 0.15/0.46    ((member @ sK4 @ (union @ sK2 @ sK2) @ mactual) = $false) | ~spl1_2),
% 0.15/0.46    inference(binary_proxy_clausification,[],[f473])).
% 0.15/0.46  thf(f473,plain,(
% 0.15/0.46    (((member @ sK4 @ sK2 @ mactual) => (member @ sK4 @ (union @ sK2 @ sK2) @ mactual)) = $false) | ~spl1_2),
% 0.15/0.46    inference(beta_eta_normalization,[],[f472])).
% 0.15/0.46  thf(f472,plain,(
% 0.15/0.46    (((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual))) @ sK4) = $false) | ~spl1_2),
% 0.15/0.46    inference(sigma_clausification,[],[f471])).
% 0.15/0.46  thf(f471,plain,(
% 0.15/0.46    ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual)))) = $false) | ~spl1_2),
% 0.15/0.46    inference(not_proxy_clausification,[],[f470])).
% 0.15/0.46  thf(f470,plain,(
% 0.15/0.46    ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual))))) = $true) | ~spl1_2),
% 0.15/0.46    inference(boolean_simplification,[],[f469])).
% 0.15/0.46  thf(f469,plain,(
% 0.15/0.46    ($true = ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual)))) = $false)) | ~spl1_2),
% 0.15/0.46    inference(superposition,[],[f341,f456])).
% 0.15/0.46  thf(f456,plain,(
% 0.15/0.46    ($false = (subset @ sK2 @ (union @ sK2 @ sK2) @ mactual)) | ~spl1_2),
% 0.15/0.46    inference(avatar_component_clause,[],[f454])).
% 0.15/0.46  thf(f454,plain,(
% 0.15/0.46    spl1_2 <=> ($false = (subset @ sK2 @ (union @ sK2 @ sK2) @ mactual))),
% 0.15/0.46    introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.15/0.46  thf(f475,plain,(
% 0.15/0.46    ($true = (member @ sK4 @ sK2 @ mactual)) | ~spl1_2),
% 0.15/0.46    inference(binary_proxy_clausification,[],[f473])).
% 0.15/0.46  thf(f457,plain,(
% 0.15/0.46    spl1_1 | spl1_2),
% 0.15/0.46    inference(avatar_split_clause,[],[f448,f454,f450])).
% 0.15/0.46  thf(f448,plain,(
% 0.15/0.46    ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false) | ($false = (subset @ sK2 @ (union @ sK2 @ sK2) @ mactual))),
% 0.15/0.46    inference(binary_proxy_clausification,[],[f447])).
% 0.15/0.46  thf(f447,plain,(
% 0.15/0.46    ($false = ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual)))),
% 0.15/0.46    inference(not_proxy_clausification,[],[f446])).
% 0.15/0.46  thf(f446,plain,(
% 0.15/0.46    ($true = (~ ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual))))),
% 0.15/0.46    inference(boolean_simplification,[],[f445])).
% 0.15/0.46  thf(f445,plain,(
% 0.15/0.46    ($true = (((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual)) = $false))),
% 0.15/0.46    inference(superposition,[],[f228,f250])).
% 0.15/0.46  thf(f250,plain,(
% 0.15/0.46    ($false = (equal_set @ (union @ sK2 @ sK2) @ sK2 @ mactual))),
% 0.15/0.46    inference(beta_eta_normalization,[],[f249])).
% 0.15/0.46  thf(f249,plain,(
% 0.15/0.46    (((^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0 @ mactual)) @ sK2) = $false)),
% 0.15/0.46    inference(sigma_clausification,[],[f248])).
% 0.15/0.46  thf(f248,plain,(
% 0.15/0.46    ($true != (!! @ $i @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0 @ mactual))))),
% 0.15/0.46    inference(beta_eta_normalization,[],[f206])).
% 0.15/0.46  thf(f206,plain,(
% 0.15/0.46    ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))))),
% 0.15/0.46    inference(definition_unfolding,[],[f168,f170,f172])).
% 0.15/0.46  thf(f168,plain,(
% 0.15/0.46    ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))))),
% 0.15/0.46    inference(cnf_transformation,[],[f134])).
% 0.15/0.46  thf(f134,plain,(
% 0.15/0.46    ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))))),
% 0.15/0.46    inference(flattening,[],[f133])).
% 0.15/0.46  thf(f133,plain,(
% 0.15/0.46    ~($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))))),
% 0.15/0.46    inference(fool_elimination,[],[f132])).
% 0.15/0.46  thf(f132,plain,(
% 0.15/0.46    ~(mlocal @ (mforall_di @ (^[X0 : $i] : (equal_set @ (union @ X0 @ X0) @ X0))))),
% 0.15/0.46    inference(rectify,[],[f45])).
% 0.15/0.46  thf(f45,negated_conjecture,(
% 0.15/0.46    ~(mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (union @ X1 @ X1) @ X1))))),
% 0.15/0.46    inference(negated_conjecture,[],[f44])).
% 0.15/0.46  thf(f44,conjecture,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (union @ X1 @ X1) @ X1))))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI14)).
% 0.15/0.46  thf(f228,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : (($true = (((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual)) = (equal_set @ X1 @ X2 @ mactual)))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f227])).
% 0.15/0.46  thf(f227,plain,(
% 0.15/0.46    ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual))) @ X2))) )),
% 0.15/0.46    inference(pi_clausification,[],[f226])).
% 0.15/0.46  thf(f226,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual)))))) )),
% 0.15/0.46    inference(beta_eta_normalization,[],[f225])).
% 0.15/0.46  thf(f225,plain,(
% 0.15/0.46    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual))))) @ X1))) )),
% 0.15/0.46    inference(pi_clausification,[],[f224])).
% 0.15/0.46  thf(f224,plain,(
% 0.15/0.46    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual)))))))),
% 0.15/0.46    inference(beta_eta_normalization,[],[f200])).
% 0.15/0.46  thf(f200,plain,(
% 0.15/0.46    ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.15/0.46    inference(definition_unfolding,[],[f160,f170,f172,f172,f175,f180])).
% 0.15/0.46  thf(f180,plain,(
% 0.15/0.46    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f73])).
% 0.15/0.46  thf(f73,plain,(
% 0.15/0.46    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f72])).
% 0.15/0.46  thf(f72,plain,(
% 0.15/0.46    (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 0.15/0.46    inference(rectify,[],[f3])).
% 0.15/0.46  thf(f3,axiom,(
% 0.15/0.46    (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.15/0.46  thf(f160,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.15/0.46    inference(cnf_transformation,[],[f59])).
% 0.15/0.46  thf(f59,plain,(
% 0.15/0.46    ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.15/0.46    inference(fool_elimination,[],[f58])).
% 0.15/0.46  thf(f58,plain,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
% 0.15/0.46    inference(rectify,[],[f34])).
% 0.15/0.46  thf(f34,axiom,(
% 0.15/0.46    (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (equal_set @ X1 @ X3) @ (mand @ (subset @ X1 @ X3) @ (subset @ X3 @ X1))))))))),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set_0)).
% 0.15/0.46  % SZS output end Proof for theBenchmark
% 0.15/0.46  % (7574)------------------------------
% 0.15/0.46  % (7574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46  % (7574)Termination reason: Refutation
% 0.15/0.46  
% 0.15/0.46  % (7574)Memory used [KB]: 6396
% 0.15/0.46  % (7574)Time elapsed: 0.046 s
% 0.15/0.46  % (7574)Instructions burned: 94 (million)
% 0.15/0.46  % (7574)------------------------------
% 0.15/0.46  % (7574)------------------------------
% 0.15/0.46  % (7531)Success in time 0.142 s
% 0.15/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------