TSTP Solution File: SET063^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET063^4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 03:08:24 EDT 2024
% Result : Theorem 1.39s 0.53s
% Output : Refutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SET063^4 : TPTP v8.2.0. Released v8.1.0.
% 0.05/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 13:14:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.38 % (8704)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (8708)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)
% 0.21/0.38 % (8706)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)
% 0.21/0.38 % (8707)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (8705)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)
% 0.21/0.38 % (8709)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)
% 0.21/0.38 % (8710)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (8711)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)
% 0.21/0.39 % (8708)Instruction limit reached!
% 0.21/0.39 % (8708)------------------------------
% 0.21/0.39 % (8708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8708)Termination reason: Unknown
% 0.21/0.39 % (8708)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (8708)Memory used [KB]: 1023
% 0.21/0.39 % (8708)Time elapsed: 0.003 s
% 0.21/0.39 % (8708)Instructions burned: 2 (million)
% 0.21/0.39 % (8708)------------------------------
% 0.21/0.39 % (8708)------------------------------
% 0.21/0.39 % (8707)Instruction limit reached!
% 0.21/0.39 % (8707)------------------------------
% 0.21/0.39 % (8707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8707)Termination reason: Unknown
% 0.21/0.39 % (8707)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (8707)Memory used [KB]: 1023
% 0.21/0.39 % (8707)Time elapsed: 0.004 s
% 0.21/0.39 % (8707)Instructions burned: 3 (million)
% 0.21/0.39 % (8707)------------------------------
% 0.21/0.39 % (8707)------------------------------
% 0.21/0.39 % (8711)Instruction limit reached!
% 0.21/0.39 % (8711)------------------------------
% 0.21/0.39 % (8711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8711)Termination reason: Unknown
% 0.21/0.39 % (8711)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (8711)Memory used [KB]: 1023
% 0.21/0.39 % (8711)Time elapsed: 0.004 s
% 0.21/0.39 % (8711)Instructions burned: 4 (million)
% 0.21/0.39 % (8711)------------------------------
% 0.21/0.39 % (8711)------------------------------
% 0.21/0.39 % (8705)Instruction limit reached!
% 0.21/0.39 % (8705)------------------------------
% 0.21/0.39 % (8705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8705)Termination reason: Unknown
% 0.21/0.39 % (8705)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (8705)Memory used [KB]: 1023
% 0.21/0.39 % (8705)Time elapsed: 0.005 s
% 0.21/0.39 % (8705)Instructions burned: 5 (million)
% 0.21/0.39 % (8705)------------------------------
% 0.21/0.39 % (8705)------------------------------
% 0.21/0.39 % (8709)Refutation not found, incomplete strategy
% 0.21/0.39 % (8709)------------------------------
% 0.21/0.39 % (8709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8709)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (8709)Memory used [KB]: 5628
% 0.21/0.39 % (8709)Time elapsed: 0.010 s
% 0.21/0.39 % (8709)Instructions burned: 15 (million)
% 0.21/0.39 % (8709)------------------------------
% 0.21/0.39 % (8709)------------------------------
% 0.21/0.39 % (8710)Instruction limit reached!
% 0.21/0.39 % (8710)------------------------------
% 0.21/0.39 % (8710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (8710)Termination reason: Unknown
% 0.21/0.39 % (8710)Termination phase: Property scanning
% 0.21/0.39
% 0.21/0.39 % (8710)Memory used [KB]: 1151
% 0.21/0.39 % (8710)Time elapsed: 0.011 s
% 0.21/0.39 % (8710)Instructions burned: 18 (million)
% 0.21/0.39 % (8710)------------------------------
% 0.21/0.39 % (8710)------------------------------
% 0.21/0.40 % (8706)Instruction limit reached!
% 0.21/0.40 % (8706)------------------------------
% 0.21/0.40 % (8706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (8706)Termination reason: Unknown
% 0.21/0.40 % (8706)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (8706)Memory used [KB]: 5756
% 0.21/0.40 % (8706)Time elapsed: 0.016 s
% 0.21/0.40 % (8706)Instructions burned: 28 (million)
% 0.21/0.40 % (8706)------------------------------
% 0.21/0.40 % (8706)------------------------------
% 0.21/0.40 % (8712)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)
% 0.21/0.40 % (8713)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)
% 0.21/0.40 % (8714)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)
% 0.21/0.40 % (8715)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)
% 0.21/0.40 % (8714)Instruction limit reached!
% 0.21/0.40 % (8714)------------------------------
% 0.21/0.40 % (8714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (8714)Termination reason: Unknown
% 0.21/0.40 % (8714)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (8714)Memory used [KB]: 1023
% 0.21/0.40 % (8714)Time elapsed: 0.004 s
% 0.21/0.40 % (8714)Instructions burned: 4 (million)
% 0.21/0.40 % (8714)------------------------------
% 0.21/0.40 % (8714)------------------------------
% 0.21/0.41 % (8716)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (8717)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (8713)Instruction limit reached!
% 0.21/0.41 % (8713)------------------------------
% 0.21/0.41 % (8713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (8713)Termination reason: Unknown
% 0.21/0.41 % (8713)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (8713)Memory used [KB]: 1151
% 0.21/0.41 % (8713)Time elapsed: 0.010 s
% 0.21/0.41 % (8713)Instructions burned: 17 (million)
% 0.21/0.41 % (8713)------------------------------
% 0.21/0.41 % (8713)------------------------------
% 0.21/0.41 % (8716)Instruction limit reached!
% 0.21/0.41 % (8716)------------------------------
% 0.21/0.41 % (8716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (8716)Termination reason: Unknown
% 0.21/0.41 % (8716)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (8716)Memory used [KB]: 1151
% 0.21/0.41 % (8716)Time elapsed: 0.006 s
% 0.21/0.41 % (8716)Instructions burned: 8 (million)
% 0.21/0.41 % (8716)------------------------------
% 0.21/0.41 % (8716)------------------------------
% 0.21/0.41 % (8718)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (8718)Instruction limit reached!
% 0.21/0.41 % (8718)------------------------------
% 0.21/0.41 % (8718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (8718)Termination reason: Unknown
% 0.21/0.41 % (8718)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (8718)Memory used [KB]: 1023
% 0.21/0.41 % (8718)Time elapsed: 0.004 s
% 0.21/0.41 % (8718)Instructions burned: 4 (million)
% 0.21/0.41 % (8718)------------------------------
% 0.21/0.41 % (8718)------------------------------
% 0.21/0.42 % (8717)Instruction limit reached!
% 0.21/0.42 % (8717)------------------------------
% 0.21/0.42 % (8717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (8717)Termination reason: Unknown
% 0.21/0.42 % (8717)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (8717)Memory used [KB]: 1151
% 0.21/0.42 % (8717)Time elapsed: 0.010 s
% 0.21/0.42 % (8717)Instructions burned: 17 (million)
% 0.21/0.42 % (8717)------------------------------
% 0.21/0.42 % (8717)------------------------------
% 0.21/0.42 % (8712)Instruction limit reached!
% 0.21/0.42 % (8712)------------------------------
% 0.21/0.42 % (8712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (8719)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (8712)Termination reason: Unknown
% 0.21/0.42 % (8712)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (8712)Memory used [KB]: 6012
% 0.21/0.42 % (8712)Time elapsed: 0.020 s
% 0.21/0.42 % (8712)Instructions burned: 38 (million)
% 0.21/0.42 % (8712)------------------------------
% 0.21/0.42 % (8712)------------------------------
% 0.21/0.42 % (8719)Instruction limit reached!
% 0.21/0.42 % (8719)------------------------------
% 0.21/0.42 % (8719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (8719)Termination reason: Unknown
% 0.21/0.42 % (8719)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (8719)Memory used [KB]: 1023
% 0.21/0.42 % (8719)Time elapsed: 0.004 s
% 0.21/0.42 % (8719)Instructions burned: 4 (million)
% 0.21/0.42 % (8719)------------------------------
% 0.21/0.42 % (8719)------------------------------
% 0.21/0.42 % (8720)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (8721)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (8720)Instruction limit reached!
% 0.21/0.43 % (8720)------------------------------
% 0.21/0.43 % (8720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (8720)Termination reason: Unknown
% 0.21/0.43 % (8720)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (8720)Memory used [KB]: 1151
% 0.21/0.43 % (8720)Time elapsed: 0.006 s
% 0.21/0.43 % (8720)Instructions burned: 8 (million)
% 0.21/0.43 % (8720)------------------------------
% 0.21/0.43 % (8720)------------------------------
% 0.21/0.43 % (8721)Instruction limit reached!
% 0.21/0.43 % (8721)------------------------------
% 0.21/0.43 % (8721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (8721)Termination reason: Unknown
% 0.21/0.43 % (8721)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (8721)Memory used [KB]: 1023
% 0.21/0.43 % (8721)Time elapsed: 0.004 s
% 0.21/0.43 % (8721)Instructions burned: 4 (million)
% 0.21/0.43 % (8721)------------------------------
% 0.21/0.43 % (8721)------------------------------
% 0.21/0.43 % (8722)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (8723)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43 % (8722)Instruction limit reached!
% 0.21/0.43 % (8722)------------------------------
% 0.21/0.43 % (8722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (8722)Termination reason: Unknown
% 0.21/0.43 % (8722)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (8722)Memory used [KB]: 1023
% 0.21/0.43 % (8722)Time elapsed: 0.004 s
% 0.21/0.43 % (8722)Instructions burned: 4 (million)
% 0.21/0.43 % (8722)------------------------------
% 0.21/0.43 % (8722)------------------------------
% 0.21/0.43 % (8724)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (8725)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (8725)Instruction limit reached!
% 0.21/0.44 % (8725)------------------------------
% 0.21/0.44 % (8725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (8725)Termination reason: Unknown
% 0.21/0.44 % (8725)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (8725)Memory used [KB]: 1023
% 0.21/0.44 % (8725)Time elapsed: 0.005 s
% 0.21/0.44 % (8725)Instructions burned: 6 (million)
% 0.21/0.44 % (8725)------------------------------
% 0.21/0.44 % (8725)------------------------------
% 0.21/0.44 % (8723)Instruction limit reached!
% 0.21/0.44 % (8723)------------------------------
% 0.21/0.44 % (8723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (8723)Termination reason: Unknown
% 0.21/0.44 % (8723)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (8723)Memory used [KB]: 5628
% 0.21/0.44 % (8723)Time elapsed: 0.012 s
% 0.21/0.44 % (8723)Instructions burned: 18 (million)
% 0.21/0.44 % (8723)------------------------------
% 0.21/0.44 % (8723)------------------------------
% 0.21/0.44 % (8726)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.45 % (8727)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.45 % (8728)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (8728)Instruction limit reached!
% 0.21/0.45 % (8728)------------------------------
% 0.21/0.45 % (8728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (8728)Termination reason: Unknown
% 0.21/0.45 % (8728)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (8728)Memory used [KB]: 1151
% 0.21/0.45 % (8728)Time elapsed: 0.005 s
% 0.21/0.45 % (8728)Instructions burned: 5 (million)
% 0.21/0.45 % (8728)------------------------------
% 0.21/0.45 % (8728)------------------------------
% 0.21/0.45 % (8726)Refutation not found, incomplete strategy
% 0.21/0.45 % (8726)------------------------------
% 0.21/0.45 % (8726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (8726)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (8726)Memory used [KB]: 5628
% 0.21/0.45 % (8726)Time elapsed: 0.010 s
% 0.21/0.45 % (8726)Instructions burned: 16 (million)
% 0.21/0.45 % (8726)------------------------------
% 0.21/0.45 % (8726)------------------------------
% 0.21/0.45 % (8729)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (8729)Instruction limit reached!
% 0.21/0.45 % (8729)------------------------------
% 0.21/0.45 % (8729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (8727)Instruction limit reached!
% 0.21/0.46 % (8727)------------------------------
% 0.21/0.46 % (8727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (8729)Termination reason: Unknown
% 0.21/0.46 % (8729)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (8729)Memory used [KB]: 1151
% 0.21/0.46 % (8729)Time elapsed: 0.005 s
% 0.21/0.46 % (8729)Instructions burned: 6 (million)
% 0.21/0.46 % (8729)------------------------------
% 0.21/0.46 % (8729)------------------------------
% 0.21/0.46 % (8727)Termination reason: Unknown
% 0.21/0.46 % (8727)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (8727)Memory used [KB]: 1151
% 0.21/0.46 % (8727)Time elapsed: 0.012 s
% 0.21/0.46 % (8727)Instructions burned: 21 (million)
% 0.21/0.46 % (8727)------------------------------
% 0.21/0.46 % (8727)------------------------------
% 0.21/0.46 % (8733)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.47 % (8724)Refutation not found, incomplete strategy
% 0.21/0.47 % (8724)------------------------------
% 0.21/0.47 % (8724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (8724)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (8724)Memory used [KB]: 6012
% 0.21/0.47 % (8724)Time elapsed: 0.035 s
% 0.21/0.47 % (8724)Instructions burned: 51 (million)
% 0.21/0.47 % (8724)------------------------------
% 0.21/0.47 % (8724)------------------------------
% 0.21/0.47 % (8736)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.47 % (8738)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.47 % (8739)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (8740)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.48 % (8738)Refutation not found, incomplete strategy
% 0.21/0.48 % (8738)------------------------------
% 0.21/0.48 % (8738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (8738)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (8738)Memory used [KB]: 5628
% 0.21/0.48 % (8738)Time elapsed: 0.013 s
% 0.21/0.48 % (8738)Instructions burned: 17 (million)
% 0.21/0.48 % (8738)------------------------------
% 0.21/0.48 % (8738)------------------------------
% 0.21/0.48 % (8740)Instruction limit reached!
% 0.21/0.48 % (8740)------------------------------
% 0.21/0.48 % (8740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (8740)Termination reason: Unknown
% 0.21/0.48 % (8740)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (8740)Memory used [KB]: 1151
% 0.21/0.48 % (8740)Time elapsed: 0.011 s
% 0.21/0.48 % (8740)Instructions burned: 18 (million)
% 0.21/0.48 % (8740)------------------------------
% 0.21/0.48 % (8740)------------------------------
% 0.21/0.48 % (8743)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (8743)Instruction limit reached!
% 0.21/0.48 % (8743)------------------------------
% 0.21/0.48 % (8743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (8743)Termination reason: Unknown
% 0.21/0.48 % (8743)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (8743)Memory used [KB]: 1023
% 0.21/0.48 % (8743)Time elapsed: 0.004 s
% 0.21/0.48 % (8743)Instructions burned: 3 (million)
% 0.21/0.48 % (8743)------------------------------
% 0.21/0.48 % (8743)------------------------------
% 0.21/0.49 % (8736)Refutation not found, incomplete strategy
% 0.21/0.49 % (8736)------------------------------
% 0.21/0.49 % (8736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (8736)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (8704)Instruction limit reached!
% 0.21/0.49 % (8704)------------------------------
% 0.21/0.49 % (8704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (8704)Termination reason: Unknown
% 0.21/0.49 % (8704)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (8704)Memory used [KB]: 6908
% 0.21/0.49 % (8704)Time elapsed: 0.111 s
% 0.21/0.49 % (8704)Instructions burned: 183 (million)
% 0.21/0.49 % (8704)------------------------------
% 0.21/0.49 % (8704)------------------------------
% 0.21/0.49 % (8736)Memory used [KB]: 5756
% 0.21/0.49 % (8736)Time elapsed: 0.029 s
% 0.21/0.49 % (8736)Instructions burned: 50 (million)
% 0.21/0.49 % (8736)------------------------------
% 0.21/0.49 % (8736)------------------------------
% 0.21/0.49 % (8747)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)
% 0.21/0.50 % (8746)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.50 % (8750)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)
% 0.21/0.51 % (8755)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51 % (8756)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.51 % (8746)Instruction limit reached!
% 0.21/0.51 % (8746)------------------------------
% 0.21/0.51 % (8746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (8746)Termination reason: Unknown
% 0.21/0.51 % (8746)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (8746)Memory used [KB]: 5756
% 0.21/0.51 % (8746)Time elapsed: 0.017 s
% 0.21/0.51 % (8746)Instructions burned: 32 (million)
% 0.21/0.51 % (8746)------------------------------
% 0.21/0.51 % (8746)------------------------------
% 0.21/0.51 % (8755)Instruction limit reached!
% 0.21/0.51 % (8755)------------------------------
% 0.21/0.51 % (8755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (8755)Termination reason: Unknown
% 0.21/0.51 % (8755)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (8755)Memory used [KB]: 1023
% 0.21/0.51 % (8755)Time elapsed: 0.003 s
% 0.21/0.51 % (8755)Instructions burned: 3 (million)
% 0.21/0.51 % (8755)------------------------------
% 0.21/0.51 % (8755)------------------------------
% 0.21/0.52 % (8756)Instruction limit reached!
% 0.21/0.52 % (8756)------------------------------
% 0.21/0.52 % (8756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (8756)Termination reason: Unknown
% 0.21/0.52 % (8756)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (8756)Memory used [KB]: 5628
% 0.21/0.52 % (8756)Time elapsed: 0.009 s
% 0.21/0.52 % (8756)Instructions burned: 20 (million)
% 0.21/0.52 % (8756)------------------------------
% 0.21/0.52 % (8756)------------------------------
% 0.21/0.52 % (8747)First to succeed.
% 0.21/0.52 % (8768)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.53 % (8769)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.21/0.53 % (8773)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.39/0.53 % (8747)Refutation found. Thanks to Tanya!
% 1.39/0.53 % SZS status Theorem for theBenchmark
% 1.39/0.53 % SZS output start Proof for theBenchmark
% 1.39/0.53 thf(type_def_5, type, mworld: $tType).
% 1.39/0.53 thf(func_def_0, type, mworld: $tType).
% 1.39/0.53 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 1.39/0.53 thf(func_def_2, type, mactual: mworld).
% 1.39/0.53 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 1.39/0.53 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 1.39/0.53 thf(func_def_15, type, qmltpeq: $i > $i > mworld > $o).
% 1.39/0.53 thf(func_def_16, type, equal_set: $i > $i > mworld > $o).
% 1.39/0.53 thf(func_def_17, type, member: $i > $i > mworld > $o).
% 1.39/0.53 thf(func_def_18, type, subset: $i > $i > mworld > $o).
% 1.39/0.53 thf(func_def_19, type, singleton: $i > $i).
% 1.39/0.53 thf(func_def_20, type, product: $i > $i).
% 1.39/0.53 thf(func_def_21, type, unordered_pair: $i > $i > $i).
% 1.39/0.53 thf(func_def_22, type, intersection: $i > $i > $i).
% 1.39/0.53 thf(func_def_23, type, difference: $i > $i > $i).
% 1.39/0.53 thf(func_def_24, type, sum: $i > $i).
% 1.39/0.53 thf(func_def_25, type, union: $i > $i > $i).
% 1.39/0.53 thf(func_def_26, type, power_set: $i > $i).
% 1.39/0.53 thf(func_def_44, type, ph2: !>[X0: $tType]:(X0)).
% 1.39/0.53 thf(f537,plain,(
% 1.39/0.53 $false),
% 1.39/0.53 inference(avatar_sat_refutation,[],[f464,f518,f536])).
% 1.39/0.53 thf(f536,plain,(
% 1.39/0.53 ~spl0_1),
% 1.39/0.53 inference(avatar_contradiction_clause,[],[f535])).
% 1.39/0.53 thf(f535,plain,(
% 1.39/0.53 $false | ~spl0_1),
% 1.39/0.53 inference(trivial_inequality_removal,[],[f534])).
% 1.39/0.53 thf(f534,plain,(
% 1.39/0.53 ($true = $false) | ~spl0_1),
% 1.39/0.53 inference(forward_demodulation,[],[f533,f480])).
% 1.39/0.53 thf(f480,plain,(
% 1.39/0.53 ( ! [X0 : $i,X1 : $i] : (($false = (member @ X0 @ (intersection @ X1 @ empty_set) @ mactual))) )),
% 1.39/0.53 inference(not_proxy_clausification,[],[f479])).
% 1.39/0.53 thf(f479,plain,(
% 1.39/0.53 ( ! [X0 : $i,X1 : $i] : (($true = (~ (member @ X0 @ (intersection @ X1 @ empty_set) @ mactual)))) )),
% 1.39/0.53 inference(boolean_simplification,[],[f478])).
% 1.39/0.53 thf(f478,plain,(
% 1.39/0.53 ( ! [X0 : $i,X1 : $i] : (($true = ((member @ X0 @ (intersection @ X1 @ empty_set) @ mactual) = $false))) )),
% 1.39/0.53 inference(boolean_simplification,[],[f473])).
% 1.39/0.53 thf(f473,plain,(
% 1.39/0.53 ( ! [X0 : $i,X1 : $i] : (($true = ((member @ X0 @ (intersection @ X1 @ empty_set) @ mactual) = ((member @ X0 @ X1 @ mactual) & $false)))) )),
% 1.39/0.53 inference(superposition,[],[f414,f311])).
% 1.39/0.53 thf(f311,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($false = (member @ X1 @ empty_set @ mactual))) )),
% 1.39/0.53 inference(not_proxy_clausification,[],[f310])).
% 1.39/0.53 thf(f310,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = (~ (member @ X1 @ empty_set @ mactual)))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f309])).
% 1.39/0.53 thf(f309,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (member @ Y0 @ empty_set @ mactual))) @ X1))) )),
% 1.39/0.53 inference(pi_clausification,[],[f308])).
% 1.39/0.53 thf(f308,plain,(
% 1.39/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (member @ Y0 @ empty_set @ mactual)))))),
% 1.39/0.53 inference(beta_eta_normalization,[],[f196])).
% 1.39/0.53 thf(f196,plain,(
% 1.39/0.53 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (~ (Y1 @ Y2))))) @ (member @ Y0 @ empty_set))))))),
% 1.39/0.53 inference(definition_unfolding,[],[f159,f173,f147,f156])).
% 1.39/0.53 thf(f156,plain,(
% 1.39/0.53 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f86])).
% 1.39/0.53 thf(f86,plain,(
% 1.39/0.53 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 1.39/0.53 inference(fool_elimination,[],[f85])).
% 1.39/0.53 thf(f85,plain,(
% 1.39/0.53 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 1.39/0.53 inference(rectify,[],[f2])).
% 1.39/0.53 thf(f2,axiom,(
% 1.39/0.53 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 1.39/0.53 thf(f147,plain,(
% 1.39/0.53 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f124])).
% 1.39/0.53 thf(f124,plain,(
% 1.39/0.53 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 1.39/0.53 inference(fool_elimination,[],[f123])).
% 1.39/0.53 thf(f123,plain,(
% 1.39/0.53 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
% 1.39/0.53 inference(rectify,[],[f11])).
% 1.39/0.53 thf(f11,axiom,(
% 1.39/0.53 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : (X1 @ X6 @ X2))) = mforall_di)),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 1.39/0.53 thf(f173,plain,(
% 1.39/0.53 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.39/0.53 inference(cnf_transformation,[],[f84])).
% 1.39/0.53 thf(f84,plain,(
% 1.39/0.53 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.39/0.53 inference(fool_elimination,[],[f1])).
% 1.39/0.53 thf(f1,axiom,(
% 1.39/0.53 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 1.39/0.53 thf(f159,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mnot @ (member @ Y0 @ empty_set))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f81])).
% 1.39/0.53 thf(f81,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mnot @ (member @ Y0 @ empty_set))))))),
% 1.39/0.53 inference(fool_elimination,[],[f80])).
% 1.39/0.53 thf(f80,plain,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X0 : $i] : (mnot @ (member @ X0 @ empty_set)))))),
% 1.39/0.53 inference(rectify,[],[f39])).
% 1.39/0.53 thf(f39,axiom,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X6 : $i] : (mnot @ (member @ X6 @ empty_set)))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_0)).
% 1.39/0.53 thf(f414,plain,(
% 1.39/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((member @ X1 @ (intersection @ X2 @ X3) @ mactual) = ((member @ X1 @ X2 @ mactual) & (member @ X1 @ X3 @ mactual))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f413])).
% 1.39/0.53 thf(f413,plain,(
% 1.39/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((member @ X1 @ (intersection @ X2 @ Y0) @ mactual) = ((member @ X1 @ X2 @ mactual) & (member @ X1 @ Y0 @ mactual)))) @ X3))) )),
% 1.39/0.53 inference(pi_clausification,[],[f412])).
% 1.39/0.53 thf(f412,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((member @ X1 @ (intersection @ X2 @ Y0) @ mactual) = ((member @ X1 @ X2 @ mactual) & (member @ X1 @ Y0 @ mactual))))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f411])).
% 1.39/0.53 thf(f411,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (intersection @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y0 @ mactual) & (member @ X1 @ Y1 @ mactual)))))) @ X2))) )),
% 1.39/0.53 inference(pi_clausification,[],[f410])).
% 1.39/0.53 thf(f410,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (intersection @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y0 @ mactual) & (member @ X1 @ Y1 @ mactual))))))) = $true)) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f409])).
% 1.39/0.53 thf(f409,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y1 @ mactual) & (member @ Y0 @ Y2 @ mactual)))))))) @ X1))) )),
% 1.39/0.53 inference(pi_clausification,[],[f408])).
% 1.39/0.53 thf(f408,plain,(
% 1.39/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y1 @ mactual) & (member @ Y0 @ Y2 @ mactual))))))))))),
% 1.39/0.53 inference(beta_eta_normalization,[],[f214])).
% 1.39/0.53 thf(f214,plain,(
% 1.39/0.53 ($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]: ((Y3 @ Y5) = (Y4 @ Y5))))))) @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 1.39/0.53 inference(definition_unfolding,[],[f179,f173,f147,f147,f147,f143,f165])).
% 1.39/0.53 thf(f165,plain,(
% 1.39/0.53 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f77])).
% 1.39/0.53 thf(f77,plain,(
% 1.39/0.53 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f76])).
% 1.39/0.53 thf(f76,plain,(
% 1.39/0.53 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 1.39/0.53 inference(rectify,[],[f3])).
% 1.39/0.53 thf(f3,axiom,(
% 1.39/0.53 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 1.39/0.53 thf(f143,plain,(
% 1.39/0.53 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f65])).
% 1.39/0.53 thf(f65,plain,(
% 1.39/0.53 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f64])).
% 1.39/0.53 thf(f64,plain,(
% 1.39/0.53 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))))),
% 1.39/0.53 inference(rectify,[],[f6])).
% 1.39/0.53 thf(f6,axiom,(
% 1.39/0.53 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 1.39/0.53 thf(f179,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f51])).
% 1.39/0.53 thf(f51,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f50])).
% 1.39/0.53 thf(f50,plain,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X0 @ (intersection @ X1 @ X2)) @ (mand @ (member @ X0 @ X1) @ (member @ X0 @ X2))))))))))),
% 1.39/0.53 inference(rectify,[],[f37])).
% 1.39/0.53 thf(f37,axiom,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X6 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X6 @ (intersection @ X1 @ X3)) @ (mand @ (member @ X6 @ X1) @ (member @ X6 @ X3))))))))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_0)).
% 1.39/0.53 thf(f533,plain,(
% 1.39/0.53 ($true = (member @ sK4 @ (intersection @ sK1 @ empty_set) @ mactual)) | ~spl0_1),
% 1.39/0.53 inference(binary_proxy_clausification,[],[f531])).
% 1.39/0.53 thf(f531,plain,(
% 1.39/0.53 (((member @ sK4 @ (intersection @ sK1 @ empty_set) @ mactual) => (member @ sK4 @ empty_set @ mactual)) = $false) | ~spl0_1),
% 1.39/0.53 inference(beta_eta_normalization,[],[f530])).
% 1.39/0.53 thf(f530,plain,(
% 1.39/0.53 (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual))) @ sK4) = $false) | ~spl0_1),
% 1.39/0.53 inference(sigma_clausification,[],[f529])).
% 1.39/0.53 thf(f529,plain,(
% 1.39/0.53 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual)))) = $false) | ~spl0_1),
% 1.39/0.53 inference(not_proxy_clausification,[],[f528])).
% 1.39/0.53 thf(f528,plain,(
% 1.39/0.53 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual)))))) | ~spl0_1),
% 1.39/0.53 inference(boolean_simplification,[],[f519])).
% 1.39/0.53 thf(f519,plain,(
% 1.39/0.53 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual)))))) | ~spl0_1),
% 1.39/0.53 inference(superposition,[],[f269,f459])).
% 1.39/0.53 thf(f459,plain,(
% 1.39/0.53 ($false = (subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual)) | ~spl0_1),
% 1.39/0.53 inference(avatar_component_clause,[],[f457])).
% 1.39/0.53 thf(f457,plain,(
% 1.39/0.53 spl0_1 <=> ($false = (subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual))),
% 1.39/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 1.39/0.53 thf(f269,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((subset @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual))))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f268])).
% 1.39/0.53 thf(f268,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))))) @ X2))) )),
% 1.39/0.53 inference(pi_clausification,[],[f267])).
% 1.39/0.53 thf(f267,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual))))))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f266])).
% 1.39/0.53 thf(f266,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))))))) @ X1))) )),
% 1.39/0.53 inference(pi_clausification,[],[f265])).
% 1.39/0.53 thf(f265,plain,(
% 1.39/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual))))))))))),
% 1.39/0.53 inference(beta_eta_normalization,[],[f205])).
% 1.39/0.53 thf(f205,plain,(
% 1.39/0.53 ($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]: ((Y2 @ Y4) = (Y3 @ 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)))))))))))),
% 1.39/0.53 inference(definition_unfolding,[],[f169,f173,f147,f147,f143,f147,f180])).
% 1.39/0.53 thf(f180,plain,(
% 1.39/0.53 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f122])).
% 1.39/0.53 thf(f122,plain,(
% 1.39/0.53 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f121])).
% 1.39/0.53 thf(f121,plain,(
% 1.39/0.53 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 1.39/0.53 inference(rectify,[],[f5])).
% 1.39/0.53 thf(f5,axiom,(
% 1.39/0.53 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 1.39/0.53 thf(f169,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f79])).
% 1.39/0.53 thf(f79,plain,(
% 1.39/0.53 ($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)))))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f78])).
% 1.39/0.53 thf(f78,plain,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
% 1.39/0.53 inference(rectify,[],[f34])).
% 1.39/0.53 thf(f34,axiom,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (subset @ X1 @ X3) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (member @ X6 @ X1) @ (member @ X6 @ X3))))))))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_0)).
% 1.39/0.53 thf(f518,plain,(
% 1.39/0.53 ~spl0_2),
% 1.39/0.53 inference(avatar_contradiction_clause,[],[f517])).
% 1.39/0.53 thf(f517,plain,(
% 1.39/0.53 $false | ~spl0_2),
% 1.39/0.53 inference(trivial_inequality_removal,[],[f516])).
% 1.39/0.53 thf(f516,plain,(
% 1.39/0.53 ($true = $false) | ~spl0_2),
% 1.39/0.53 inference(forward_demodulation,[],[f515,f311])).
% 1.39/0.53 thf(f515,plain,(
% 1.39/0.53 ($true = (member @ sK3 @ empty_set @ mactual)) | ~spl0_2),
% 1.39/0.53 inference(binary_proxy_clausification,[],[f513])).
% 1.39/0.53 thf(f513,plain,(
% 1.39/0.53 (((member @ sK3 @ empty_set @ mactual) => (member @ sK3 @ (intersection @ sK1 @ empty_set) @ mactual)) = $false) | ~spl0_2),
% 1.39/0.53 inference(beta_eta_normalization,[],[f512])).
% 1.39/0.53 thf(f512,plain,(
% 1.39/0.53 ($false = ((^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual))) @ sK3)) | ~spl0_2),
% 1.39/0.53 inference(sigma_clausification,[],[f511])).
% 1.39/0.53 thf(f511,plain,(
% 1.39/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual))))) | ~spl0_2),
% 1.39/0.53 inference(not_proxy_clausification,[],[f510])).
% 1.39/0.53 thf(f510,plain,(
% 1.39/0.53 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual)))))) | ~spl0_2),
% 1.39/0.53 inference(boolean_simplification,[],[f509])).
% 1.39/0.53 thf(f509,plain,(
% 1.39/0.53 (($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK1 @ empty_set) @ mactual))))) = $true) | ~spl0_2),
% 1.39/0.53 inference(superposition,[],[f269,f463])).
% 1.39/0.53 thf(f463,plain,(
% 1.39/0.53 ((subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual) = $false) | ~spl0_2),
% 1.39/0.53 inference(avatar_component_clause,[],[f461])).
% 1.39/0.53 thf(f461,plain,(
% 1.39/0.53 spl0_2 <=> ((subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual) = $false)),
% 1.39/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.39/0.53 thf(f464,plain,(
% 1.39/0.53 spl0_1 | spl0_2),
% 1.39/0.53 inference(avatar_split_clause,[],[f455,f461,f457])).
% 1.39/0.53 thf(f455,plain,(
% 1.39/0.53 ((subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual) = $false) | ($false = (subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual))),
% 1.39/0.53 inference(binary_proxy_clausification,[],[f454])).
% 1.39/0.53 thf(f454,plain,(
% 1.39/0.53 ($false = ((subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual) & (subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual)))),
% 1.39/0.53 inference(not_proxy_clausification,[],[f453])).
% 1.39/0.53 thf(f453,plain,(
% 1.39/0.53 ($true = (~ ((subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual) & (subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual))))),
% 1.39/0.53 inference(boolean_simplification,[],[f452])).
% 1.39/0.53 thf(f452,plain,(
% 1.39/0.53 ($true = ($false = ((subset @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual) & (subset @ empty_set @ (intersection @ sK1 @ empty_set) @ mactual))))),
% 1.39/0.53 inference(superposition,[],[f264,f286])).
% 1.39/0.53 thf(f286,plain,(
% 1.39/0.53 ((equal_set @ (intersection @ sK1 @ empty_set) @ empty_set @ mactual) = $false)),
% 1.39/0.53 inference(beta_eta_normalization,[],[f285])).
% 1.39/0.53 thf(f285,plain,(
% 1.39/0.53 ($false = ((^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set @ mactual)) @ sK1))),
% 1.39/0.53 inference(sigma_clausification,[],[f284])).
% 1.39/0.53 thf(f284,plain,(
% 1.39/0.53 ($true != (!! @ $i @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set @ mactual))))),
% 1.39/0.53 inference(beta_eta_normalization,[],[f188])).
% 1.39/0.53 thf(f188,plain,(
% 1.39/0.53 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))),
% 1.39/0.53 inference(definition_unfolding,[],[f146,f173,f147])).
% 1.39/0.53 thf(f146,plain,(
% 1.39/0.53 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))),
% 1.39/0.53 inference(cnf_transformation,[],[f137])).
% 1.39/0.53 thf(f137,plain,(
% 1.39/0.53 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))),
% 1.39/0.53 inference(flattening,[],[f112])).
% 1.39/0.53 thf(f112,plain,(
% 1.39/0.53 ~($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))),
% 1.39/0.53 inference(fool_elimination,[],[f111])).
% 1.39/0.53 thf(f111,plain,(
% 1.39/0.53 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (equal_set @ (intersection @ X0 @ empty_set) @ empty_set))))),
% 1.39/0.53 inference(rectify,[],[f46])).
% 1.39/0.53 thf(f46,negated_conjecture,(
% 1.39/0.53 ~(mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (intersection @ X1 @ empty_set) @ empty_set))))),
% 1.39/0.53 inference(negated_conjecture,[],[f45])).
% 1.39/0.53 thf(f45,conjecture,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (intersection @ X1 @ empty_set) @ empty_set))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI17)).
% 1.39/0.53 thf(f264,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((equal_set @ X1 @ X2 @ mactual) = ((subset @ X1 @ X2 @ mactual) & (subset @ X2 @ X1 @ mactual))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f263])).
% 1.39/0.53 thf(f263,plain,(
% 1.39/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ X1 @ Y0 @ mactual) & (subset @ Y0 @ X1 @ mactual)))) @ X2))) )),
% 1.39/0.53 inference(pi_clausification,[],[f262])).
% 1.39/0.53 thf(f262,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ X1 @ Y0 @ mactual) & (subset @ Y0 @ X1 @ mactual))))))) )),
% 1.39/0.53 inference(beta_eta_normalization,[],[f261])).
% 1.39/0.53 thf(f261,plain,(
% 1.39/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y0 @ Y1 @ mactual) & (subset @ Y1 @ Y0 @ mactual)))))) @ X1))) )),
% 1.39/0.53 inference(pi_clausification,[],[f260])).
% 1.39/0.53 thf(f260,plain,(
% 1.39/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y0 @ Y1 @ mactual) & (subset @ Y1 @ Y0 @ mactual))))))))),
% 1.39/0.53 inference(beta_eta_normalization,[],[f186])).
% 1.39/0.53 thf(f186,plain,(
% 1.39/0.53 ($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]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 1.39/0.53 inference(definition_unfolding,[],[f141,f173,f147,f147,f143,f165])).
% 1.39/0.53 thf(f141,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 1.39/0.53 inference(cnf_transformation,[],[f61])).
% 1.39/0.53 thf(f61,plain,(
% 1.39/0.53 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 1.39/0.53 inference(fool_elimination,[],[f60])).
% 1.39/0.53 thf(f60,plain,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
% 1.39/0.53 inference(rectify,[],[f35])).
% 1.39/0.53 thf(f35,axiom,(
% 1.39/0.53 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (equal_set @ X1 @ X3) @ (mand @ (subset @ X1 @ X3) @ (subset @ X3 @ X1))))))))),
% 1.39/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set_0)).
% 1.39/0.53 % SZS output end Proof for theBenchmark
% 1.39/0.53 % (8747)------------------------------
% 1.39/0.53 % (8747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.53 % (8747)Termination reason: Refutation
% 1.39/0.53
% 1.39/0.53 % (8747)Memory used [KB]: 6268
% 1.39/0.53 % (8747)Time elapsed: 0.030 s
% 1.39/0.53 % (8747)Instructions burned: 64 (million)
% 1.39/0.53 % (8747)------------------------------
% 1.39/0.53 % (8747)------------------------------
% 1.39/0.53 % (8703)Success in time 0.145 s
% 1.39/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------