TSTP Solution File: SEU623^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU623^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n016.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 03:50:05 EDT 2024
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU623^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 16:01:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 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
% 0.20/0.38 % (29350)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.38 % (29354)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.20/0.38 % (29349)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.38 % (29353)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (29352)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (29355)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38 % (29351)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.20/0.38 % (29356)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.38 % (29350)Instruction limit reached!
% 0.20/0.38 % (29350)------------------------------
% 0.20/0.38 % (29350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (29350)Termination reason: Unknown
% 0.20/0.38 % (29350)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (29350)Memory used [KB]: 1279
% 0.20/0.38 % (29350)Time elapsed: 0.004 s
% 0.20/0.38 % (29350)Instructions burned: 4 (million)
% 0.20/0.38 % (29350)------------------------------
% 0.20/0.38 % (29350)------------------------------
% 0.20/0.38 % (29352)Instruction limit reached!
% 0.20/0.38 % (29352)------------------------------
% 0.20/0.38 % (29352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (29352)Termination reason: Unknown
% 0.20/0.38 % (29352)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (29353)Instruction limit reached!
% 0.20/0.38 % (29353)------------------------------
% 0.20/0.38 % (29353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (29352)Memory used [KB]: 1151
% 0.20/0.38 % (29352)Time elapsed: 0.003 s
% 0.20/0.38 % (29352)Instructions burned: 3 (million)
% 0.20/0.38 % (29352)------------------------------
% 0.20/0.38 % (29352)------------------------------
% 0.20/0.38 % (29353)Termination reason: Unknown
% 0.20/0.38 % (29353)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (29353)Memory used [KB]: 1151
% 0.20/0.38 % (29353)Time elapsed: 0.003 s
% 0.20/0.38 % (29353)Instructions burned: 3 (million)
% 0.20/0.38 % (29353)------------------------------
% 0.20/0.38 % (29353)------------------------------
% 0.20/0.38 % (29356)Instruction limit reached!
% 0.20/0.38 % (29356)------------------------------
% 0.20/0.38 % (29356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (29356)Termination reason: Unknown
% 0.20/0.38 % (29356)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (29356)Memory used [KB]: 1151
% 0.20/0.38 % (29356)Time elapsed: 0.003 s
% 0.20/0.38 % (29356)Instructions burned: 3 (million)
% 0.20/0.38 % (29356)------------------------------
% 0.20/0.38 % (29356)------------------------------
% 0.20/0.39 % (29355)Instruction limit reached!
% 0.20/0.39 % (29355)------------------------------
% 0.20/0.39 % (29355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (29355)Termination reason: Unknown
% 0.20/0.39 % (29355)Termination phase: Preprocessing 1
% 0.20/0.39
% 0.20/0.39 % (29355)Memory used [KB]: 1407
% 0.20/0.39 % (29355)Time elapsed: 0.012 s
% 0.20/0.39 % (29355)Instructions burned: 18 (million)
% 0.20/0.39 % (29355)------------------------------
% 0.20/0.39 % (29355)------------------------------
% 0.20/0.39 % (29351)Instruction limit reached!
% 0.20/0.39 % (29351)------------------------------
% 0.20/0.39 % (29351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (29351)Termination reason: Unknown
% 0.20/0.39 % (29351)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (29351)Memory used [KB]: 1663
% 0.20/0.39 % (29351)Time elapsed: 0.017 s
% 0.20/0.39 % (29351)Instructions burned: 28 (million)
% 0.20/0.39 % (29351)------------------------------
% 0.20/0.39 % (29351)------------------------------
% 0.20/0.39 % (29357)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.39 % (29359)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.39 % (29358)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.39 % (29360)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.40 % (29359)Instruction limit reached!
% 0.20/0.40 % (29359)------------------------------
% 0.20/0.40 % (29359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (29359)Termination reason: Unknown
% 0.20/0.40 % (29359)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (29359)Memory used [KB]: 1279
% 0.20/0.40 % (29359)Time elapsed: 0.003 s
% 0.20/0.40 % (29359)Instructions burned: 3 (million)
% 0.20/0.40 % (29359)------------------------------
% 0.20/0.40 % (29359)------------------------------
% 0.20/0.40 % (29358)Instruction limit reached!
% 0.20/0.40 % (29358)------------------------------
% 0.20/0.40 % (29358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (29358)Termination reason: Unknown
% 0.20/0.40 % (29358)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (29358)Memory used [KB]: 1407
% 0.20/0.40 % (29358)Time elapsed: 0.010 s
% 0.20/0.40 % (29358)Instructions burned: 15 (million)
% 0.20/0.40 % (29358)------------------------------
% 0.20/0.40 % (29358)------------------------------
% 0.20/0.40 % (29361)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (29361)Instruction limit reached!
% 0.20/0.41 % (29361)------------------------------
% 0.20/0.41 % (29361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29361)Termination reason: Unknown
% 0.20/0.41 % (29361)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (29361)Memory used [KB]: 1279
% 0.20/0.41 % (29361)Time elapsed: 0.006 s
% 0.20/0.41 % (29361)Instructions burned: 7 (million)
% 0.20/0.41 % (29361)------------------------------
% 0.20/0.41 % (29361)------------------------------
% 0.20/0.41 % (29362)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (29357)Instruction limit reached!
% 0.20/0.41 % (29357)------------------------------
% 0.20/0.41 % (29357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29357)Termination reason: Unknown
% 0.20/0.41 % (29357)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (29357)Memory used [KB]: 1663
% 0.20/0.41 % (29357)Time elapsed: 0.019 s
% 0.20/0.41 % (29357)Instructions burned: 38 (million)
% 0.20/0.41 % (29357)------------------------------
% 0.20/0.41 % (29357)------------------------------
% 0.20/0.41 % (29363)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (29363)Instruction limit reached!
% 0.20/0.41 % (29363)------------------------------
% 0.20/0.41 % (29363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29363)Termination reason: Unknown
% 0.20/0.41 % (29363)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (29363)Memory used [KB]: 1279
% 0.20/0.41 % (29363)Time elapsed: 0.004 s
% 0.20/0.41 % (29363)Instructions burned: 4 (million)
% 0.20/0.41 % (29363)------------------------------
% 0.20/0.41 % (29363)------------------------------
% 0.20/0.42 % (29362)Instruction limit reached!
% 0.20/0.42 % (29362)------------------------------
% 0.20/0.42 % (29362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29362)Termination reason: Unknown
% 0.20/0.42 % (29362)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29362)Memory used [KB]: 1407
% 0.20/0.42 % (29362)Time elapsed: 0.010 s
% 0.20/0.42 % (29362)Instructions burned: 16 (million)
% 0.20/0.42 % (29362)------------------------------
% 0.20/0.42 % (29362)------------------------------
% 0.20/0.42 % (29364)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (29364)Instruction limit reached!
% 0.20/0.42 % (29364)------------------------------
% 0.20/0.42 % (29364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29364)Termination reason: Unknown
% 0.20/0.42 % (29364)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29364)Memory used [KB]: 1279
% 0.20/0.42 % (29364)Time elapsed: 0.004 s
% 0.20/0.42 % (29364)Instructions burned: 4 (million)
% 0.20/0.42 % (29364)------------------------------
% 0.20/0.42 % (29364)------------------------------
% 0.20/0.42 % (29365)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (29366)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (29366)Instruction limit reached!
% 0.20/0.42 % (29366)------------------------------
% 0.20/0.42 % (29366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29366)Termination reason: Unknown
% 0.20/0.42 % (29366)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29366)Memory used [KB]: 1279
% 0.20/0.42 % (29366)Time elapsed: 0.003 s
% 0.20/0.42 % (29366)Instructions burned: 4 (million)
% 0.20/0.42 % (29366)------------------------------
% 0.20/0.42 % (29366)------------------------------
% 0.20/0.43 % (29365)Instruction limit reached!
% 0.20/0.43 % (29365)------------------------------
% 0.20/0.43 % (29365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (29365)Termination reason: Unknown
% 0.20/0.43 % (29365)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (29365)Memory used [KB]: 1279
% 0.20/0.43 % (29365)Time elapsed: 0.005 s
% 0.20/0.43 % (29365)Instructions burned: 7 (million)
% 0.20/0.43 % (29365)------------------------------
% 0.20/0.43 % (29365)------------------------------
% 0.20/0.43 % (29367)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (29367)Instruction limit reached!
% 0.20/0.43 % (29367)------------------------------
% 0.20/0.43 % (29367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (29367)Termination reason: Unknown
% 0.20/0.43 % (29367)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (29367)Memory used [KB]: 1279
% 0.20/0.43 % (29367)Time elapsed: 0.004 s
% 0.20/0.43 % (29367)Instructions burned: 4 (million)
% 0.20/0.43 % (29367)------------------------------
% 0.20/0.43 % (29367)------------------------------
% 0.20/0.43 % (29368)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.44 % (29369)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44 % (29370)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (29370)Instruction limit reached!
% 0.20/0.44 % (29370)------------------------------
% 0.20/0.44 % (29370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (29370)Termination reason: Unknown
% 0.20/0.44 % (29370)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (29370)Memory used [KB]: 1279
% 0.20/0.44 % (29370)Time elapsed: 0.004 s
% 0.20/0.44 % (29370)Instructions burned: 6 (million)
% 0.20/0.44 % (29370)------------------------------
% 0.20/0.44 % (29370)------------------------------
% 0.20/0.44 % (29368)Instruction limit reached!
% 0.20/0.44 % (29368)------------------------------
% 0.20/0.44 % (29368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (29368)Termination reason: Unknown
% 0.20/0.44 % (29368)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (29368)Memory used [KB]: 1535
% 0.20/0.44 % (29368)Time elapsed: 0.011 s
% 0.20/0.44 % (29368)Instructions burned: 18 (million)
% 0.20/0.44 % (29368)------------------------------
% 0.20/0.44 % (29368)------------------------------
% 0.20/0.44 % (29371)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)
% 0.20/0.45 % (29372)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)
% 0.20/0.46 % (29373)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46 % (29374)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)
% 0.20/0.46 % (29373)Instruction limit reached!
% 0.20/0.46 % (29373)------------------------------
% 0.20/0.46 % (29373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (29373)Termination reason: Unknown
% 0.20/0.46 % (29373)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (29373)Memory used [KB]: 1279
% 0.20/0.46 % (29373)Time elapsed: 0.005 s
% 0.20/0.46 % (29373)Instructions burned: 6 (million)
% 0.20/0.46 % (29373)------------------------------
% 0.20/0.46 % (29373)------------------------------
% 0.20/0.46 % (29372)Instruction limit reached!
% 0.20/0.46 % (29372)------------------------------
% 0.20/0.46 % (29372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (29372)Termination reason: Unknown
% 0.20/0.46 % (29372)Termination phase: Property scanning
% 0.20/0.46
% 0.20/0.46 % (29372)Memory used [KB]: 1663
% 0.20/0.46 % (29372)Time elapsed: 0.014 s
% 0.20/0.46 % (29372)Instructions burned: 22 (million)
% 0.20/0.46 % (29372)------------------------------
% 0.20/0.46 % (29372)------------------------------
% 0.20/0.46 % (29374)Instruction limit reached!
% 0.20/0.46 % (29374)------------------------------
% 0.20/0.46 % (29374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (29374)Termination reason: Unknown
% 0.20/0.46 % (29374)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (29374)Memory used [KB]: 1279
% 0.20/0.46 % (29374)Time elapsed: 0.005 s
% 0.20/0.46 % (29374)Instructions burned: 6 (million)
% 0.20/0.46 % (29374)------------------------------
% 0.20/0.46 % (29374)------------------------------
% 0.20/0.47 % (29375)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.47 % (29376)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 (2998ds/779Mi)
% 0.20/0.47 % (29377)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 (2998ds/19Mi)
% 0.20/0.48 % (29349)Instruction limit reached!
% 0.20/0.48 % (29349)------------------------------
% 0.20/0.48 % (29349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (29349)Termination reason: Unknown
% 0.20/0.48 % (29349)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (29349)Memory used [KB]: 7036
% 0.20/0.48 % (29349)Time elapsed: 0.105 s
% 0.20/0.48 % (29349)Instructions burned: 184 (million)
% 0.20/0.48 % (29349)------------------------------
% 0.20/0.48 % (29349)------------------------------
% 0.20/0.49 % (29377)Instruction limit reached!
% 0.20/0.49 % (29377)------------------------------
% 0.20/0.49 % (29377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (29377)Termination reason: Unknown
% 0.20/0.49 % (29377)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (29377)Memory used [KB]: 1535
% 0.20/0.49 % (29377)Time elapsed: 0.012 s
% 0.20/0.49 % (29377)Instructions burned: 20 (million)
% 0.20/0.49 % (29377)------------------------------
% 0.20/0.49 % (29377)------------------------------
% 0.20/0.50 % (29378)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.50 % (29379)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.51 % (29379)Instruction limit reached!
% 0.20/0.51 % (29379)------------------------------
% 0.20/0.51 % (29379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (29379)Termination reason: Unknown
% 0.20/0.51 % (29379)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (29379)Memory used [KB]: 1535
% 0.20/0.51 % (29379)Time elapsed: 0.012 s
% 0.20/0.51 % (29379)Instructions burned: 17 (million)
% 0.20/0.51 % (29379)------------------------------
% 0.20/0.51 % (29379)------------------------------
% 0.20/0.52 % (29354)Instruction limit reached!
% 0.20/0.52 % (29354)------------------------------
% 0.20/0.52 % (29354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (29354)Termination reason: Unknown
% 0.20/0.52 % (29354)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (29354)Memory used [KB]: 7931
% 0.20/0.52 % (29354)Time elapsed: 0.146 s
% 0.20/0.52 % (29354)Instructions burned: 276 (million)
% 0.20/0.52 % (29354)------------------------------
% 0.20/0.52 % (29354)------------------------------
% 0.20/0.53 % (29380)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.53 % (29380)Instruction limit reached!
% 0.20/0.53 % (29380)------------------------------
% 0.20/0.53 % (29380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (29380)Termination reason: Unknown
% 0.20/0.53 % (29380)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (29380)Memory used [KB]: 1279
% 0.20/0.53 % (29380)Time elapsed: 0.004 s
% 0.20/0.53 % (29380)Instructions burned: 4 (million)
% 0.20/0.53 % (29380)------------------------------
% 0.20/0.53 % (29380)------------------------------
% 0.20/0.54 % (29381)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.55 % (29382)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)
% 0.20/0.55 % (29381)Instruction limit reached!
% 0.20/0.55 % (29381)------------------------------
% 0.20/0.55 % (29381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (29381)Termination reason: Unknown
% 0.20/0.55 % (29381)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (29381)Memory used [KB]: 1663
% 0.20/0.55 % (29381)Time elapsed: 0.016 s
% 0.20/0.55 % (29381)Instructions burned: 31 (million)
% 0.20/0.55 % (29381)------------------------------
% 0.20/0.55 % (29381)------------------------------
% 0.20/0.55 % (29371)First to succeed.
% 0.20/0.56 % (29371)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% 0.20/0.56 thf(func_def_0, type, in: $i > $i > $o).
% 0.20/0.56 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.20/0.56 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.20/0.56 thf(func_def_8, type, powerset: $i > $i).
% 0.20/0.56 thf(func_def_10, type, setunion: $i > $i).
% 0.20/0.56 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_26, type, prop2set: $o > $i).
% 0.20/0.56 thf(func_def_36, type, nonempty: $i > $o).
% 0.20/0.56 thf(func_def_69, type, set2prop: $i > $o).
% 0.20/0.56 thf(func_def_88, type, subset: $i > $i > $o).
% 0.20/0.56 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.20/0.56 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.20/0.56 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.20/0.56 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.20/0.56 thf(func_def_135, type, regular: $i > $o).
% 0.20/0.56 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.20/0.56 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.20/0.56 thf(func_def_153, type, iskpair: $i > $o).
% 0.20/0.56 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.20/0.56 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.20/0.56 thf(func_def_177, type, sP1: $i > $i > $i > $o > $o).
% 0.20/0.56 thf(func_def_178, type, sP2: $i > $i > $o).
% 0.20/0.56 thf(func_def_179, type, sP3: $i > $o).
% 0.20/0.56 thf(func_def_180, type, sP4: $i > $i > $o).
% 0.20/0.56 thf(func_def_181, type, sP5: $i > $i > $o).
% 0.20/0.56 thf(func_def_183, type, sK7: $i > $o).
% 0.20/0.56 thf(func_def_185, type, sK9: ($i > $o) > $i > $i).
% 0.20/0.56 thf(func_def_189, type, sK13: $i > $o).
% 0.20/0.56 thf(func_def_190, type, sK14: $i > $o).
% 0.20/0.56 thf(func_def_191, type, sK15: ($i > $o) > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_192, type, sK16: ($i > $o) > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_196, type, sK20: $i > $i).
% 0.20/0.56 thf(func_def_199, type, sK23: $i > $i).
% 0.20/0.56 thf(func_def_201, type, sK25: $i > $o).
% 0.20/0.56 thf(func_def_202, type, sK26: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_203, type, sK27: $i > $o).
% 0.20/0.56 thf(func_def_205, type, sK29: $i > $o).
% 0.20/0.56 thf(func_def_208, type, sK32: $i > $o).
% 0.20/0.56 thf(func_def_210, type, sK34: ($i > $o) > $i > $i).
% 0.20/0.56 thf(func_def_211, type, sK35: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_212, type, sK36: $i > $o).
% 0.20/0.56 thf(func_def_213, type, sK37: $i > $i).
% 0.20/0.56 thf(func_def_216, type, sK40: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_217, type, sK41: $i > $o).
% 0.20/0.56 thf(func_def_236, type, sK60: $i > $i).
% 0.20/0.56 thf(func_def_242, type, sK66: $i > $i > $i).
% 0.20/0.56 thf(func_def_256, type, sK80: $i > $i > $o).
% 0.20/0.56 thf(func_def_258, type, sK82: $i > $i).
% 0.20/0.56 thf(func_def_259, type, sK83: $i > $i).
% 0.20/0.56 thf(func_def_260, type, sK84: $i > ($i > $i > $o) > $i).
% 0.20/0.56 thf(func_def_261, type, sK85: $i > ($i > $i > $o) > $i).
% 0.20/0.56 thf(func_def_262, type, sK86: $i > $i > ($i > $i > $o) > $i).
% 0.20/0.56 thf(func_def_270, type, sK94: $o > $i > $i > $i).
% 0.20/0.56 thf(func_def_291, type, sK115: $i > $o).
% 0.20/0.56 thf(func_def_299, type, sK123: $i > $o).
% 0.20/0.56 thf(func_def_306, type, sK130: $i > $o).
% 0.20/0.56 thf(func_def_307, type, sK131: $i > $o).
% 0.20/0.56 thf(func_def_308, type, sK132: ($i > $o) > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_309, type, sK133: ($i > $o) > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_319, type, sK143: $i > $o).
% 0.20/0.56 thf(func_def_322, type, sK146: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_323, type, sK147: $i > $o).
% 0.20/0.56 thf(func_def_326, type, sK150: $i > $o).
% 0.20/0.56 thf(func_def_329, type, sK153: $i > $i > $i).
% 0.20/0.56 thf(func_def_338, type, sK162: $i > $o).
% 0.20/0.56 thf(func_def_347, type, sK171: $i > $i > $i).
% 0.20/0.56 thf(func_def_348, type, sK172: $i > $i > $i).
% 0.20/0.56 thf(func_def_356, type, sK180: $i > $o).
% 0.20/0.56 thf(func_def_357, type, sK181: $i > $i).
% 0.20/0.56 thf(func_def_358, type, sK182: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_373, type, sK197: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_374, type, sK198: $i > $o).
% 0.20/0.56 thf(func_def_377, type, sK201: $i > $o).
% 0.20/0.56 thf(func_def_378, type, sK202: $i > $o).
% 0.20/0.56 thf(func_def_379, type, sK203: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.20/0.56 thf(func_def_380, type, sK204: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.20/0.56 thf(func_def_381, type, sK205: $i > $i > $i).
% 0.20/0.56 thf(func_def_384, type, sK208: $i > $o).
% 0.20/0.56 thf(func_def_387, type, sK211: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_395, type, sK219: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_396, type, sK220: $i > $o).
% 0.20/0.56 thf(func_def_403, type, sK227: $i > $o).
% 0.20/0.56 thf(func_def_422, type, sK246: $i > $i > $i).
% 0.20/0.56 thf(func_def_432, type, sK256: $i > $i > $i).
% 0.20/0.56 thf(func_def_439, type, sK263: $i > $i > $i).
% 0.20/0.56 thf(func_def_442, type, sK266: $i > $o).
% 0.20/0.56 thf(func_def_446, type, sK270: $i > $i).
% 0.20/0.56 thf(func_def_453, type, sK277: $i > $i > $i).
% 0.20/0.56 thf(func_def_454, type, sK278: $i > $i > $i).
% 0.20/0.56 thf(func_def_455, type, sK279: $i > $i > $i).
% 0.20/0.56 thf(func_def_456, type, sK280: $i > $i > $i).
% 0.20/0.56 thf(func_def_457, type, sK281: $i > $i > $i).
% 0.20/0.56 thf(func_def_458, type, sK282: $i > $i > $i > $i).
% 0.20/0.56 thf(func_def_459, type, sK283: $i > $i).
% 0.20/0.56 thf(func_def_460, type, sK284: $i > $i).
% 0.20/0.56 thf(func_def_461, type, sK285: $i > $i).
% 0.20/0.56 thf(func_def_462, type, sK286: $i > $i).
% 0.20/0.56 thf(func_def_463, type, sK287: $i > $i > $i > $i).
% 0.20/0.56 thf(func_def_464, type, sK288: $i > $i > $i > $i).
% 0.20/0.56 thf(func_def_465, type, sK289: $i > $i > $i).
% 0.20/0.56 thf(func_def_466, type, sK290: $i > $i > $i).
% 0.20/0.56 thf(func_def_467, type, sK291: $i > $i > $i).
% 0.20/0.56 thf(func_def_469, type, sK293: $i > $i).
% 0.20/0.56 thf(func_def_470, type, sK294: $i > $i).
% 0.20/0.56 thf(func_def_471, type, sK295: $i > $i).
% 0.20/0.56 thf(func_def_476, type, sK300: $i > $i).
% 0.20/0.56 thf(func_def_486, type, sK310: $i > $o).
% 0.20/0.56 thf(func_def_492, type, sK316: $i > ($i > $o) > $i).
% 0.20/0.56 thf(func_def_493, type, sK317: $i > $o).
% 0.20/0.56 thf(func_def_500, type, sK324: $i > $o).
% 0.20/0.56 thf(func_def_509, type, sK333: $i > $o).
% 0.20/0.56 thf(func_def_511, type, sK335: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_512, type, sK336: ($i > $o) > $i).
% 0.20/0.56 thf(func_def_513, type, sK337: $i > $o).
% 0.20/0.56 thf(func_def_526, type, sK350: $i > $i).
% 0.20/0.56 thf(func_def_528, type, sK352: $i > $i).
% 0.20/0.56 thf(func_def_541, type, sK365: $i > $i > $i).
% 0.20/0.56 thf(func_def_557, type, ph381: !>[X0: $tType]:(X0)).
% 0.20/0.56 thf(f2619,plain,(
% 0.20/0.56 $false),
% 0.20/0.56 inference(trivial_inequality_removal,[],[f2613])).
% 0.20/0.56 thf(f2613,plain,(
% 0.20/0.56 ($true != $true)),
% 0.20/0.56 inference(superposition,[],[f2080,f1462])).
% 0.20/0.56 thf(f1462,plain,(
% 0.20/0.56 ((in @ sK89 @ sK91) = $true)),
% 0.20/0.56 inference(cnf_transformation,[],[f770])).
% 0.20/0.56 thf(f770,plain,(
% 0.20/0.56 (sepSubset = $true) & (binintersectLsub = $true) & (prop2setE = $true) & (subsetRefl = $true) & (subsetE2 = $true) & (setadjoinIL = $true) & (exuI1 = $true) & (setminusLsub = $true) & (setunionE = $true) & (exuEu = $true) & (emptysetAx = $true) & (upairsetIR = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (binintersectI = $true) & (wellorderingAx = $true) & (bs114d = $true) & (setoftrueEq = $true) & (setadjoinIR = $true) & (setadjoin__Cong = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (subsetI1 = $true) & (subsetI2 = $true) & (emptyI = $true) & (eqimpsubset2 = $true) & (binintersectSubset3 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (secondinupair = $true) & (exuE2 = $true) & (binintersectSubset1 = $true) & (nonemptyE1 = $true) & (kpairp = $true) & (dsetconstr__Cong = $true) & (upairsetE = $true) & (binintersectSubset5 = $true) & (descrp = $true) & (subsetTrans = $true) & (setadjoinSub = $true) & (inCongP = $true) & (disjointsetsI1 = $true) & (exuI2 = $true) & (subset2powerset = $true) & (setextAx = $true) & (powersetE = $true) & (eqinunit = $true) & (emptyE1 = $true) & (uniqinunit = $true) & (powersetsubset = $true) & (setminusILneg = $true) & (setminusER = $true) & (emptyinPowerset = $true) & (notdexE = $true) & (notequalI1 = $true) & (setunionI = $true) & (notsubsetI = $true) & (powersetE1 = $true) & (emptyset__Cong = $true) & (binintersectSubset4 = $true) & (((in @ sK89 @ sK91) = $true) & ($true != (in @ (setadjoin @ sK89 @ emptyset) @ (powerset @ (binunion @ sK91 @ sK90))))) & (singletonsubset = $true) & (subsetE = $true) & (notequalI2 = $true) & (replAx = $true) & (omegaSAx = $true) & (descr__Cong = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (dsetconstrI = $true) & (quantDeMorgan3 = $true) & (setunionAx = $true) & (dsetconstrER = $true) & (singletoninpowerset = $true) & (setukpairIL = $true) & (prop2setI = $true) & (setminusI = $true) & (setminusIRneg = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (binunionE = $true) & (notinsingleton = $true) & (emptyInPowerset = $true) & (exuI3 = $true) & (quantDeMorgan1 = $true) & (in__Cong = $true) & (upairset2IR = $true) & (binintersectSubset2 = $true) & (vacuousDall = $true) & (powersetI1 = $true) & (subPowSU = $true) & (binunionRsub = $true) & (notdallE = $true) & (foundationAx = $true) & (setminusELneg = $true) & (setukpairIR = $true) & (setminusERneg = $true) & (exuE3e = $true) & (upairsetIL = $true) & (exu__Cong = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (binunionLsub = $true) & (subsetemptysetimpeq = $true) & (powersetI = $true) & (quantDeMorgan2 = $true) & (emptysetsubset = $true) & (binintersectER = $true) & (symdiffIneg2 = $true) & (exuE3u = $true) & (omega0Ax = $true) & (emptyinunitempty = $true) & (symdiffE = $true) & (eqimpsubset1 = $true) & (setextsub = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (symdiffI1 = $true) & (binintersectEL = $true) & (nonemptyI = $true) & (setminusEL = $true) & (inPowerset = $true) & (binunionEcases = $true) & (setadjoinSub2 = $true) & (omega__Cong = $true) & (sepInPowerset = $true) & (binintersectRsub = $true) & (setext = $true) & (binunionIR = $true) & (setadjoinE = $true) & (setbeta = $true) & (omegaIndAx = $true) & (notinemptyset = $true) & (kpairiskpair = $true) & (symdiffI2 = $true) & (setadjoinAx = $true) & (symdiffIneg1 = $true) & (prop2set2propI = $true)),
% 0.20/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90,sK91])],[f540,f769])).
% 0.20/0.56 thf(f769,plain,(
% 0.20/0.56 ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ((in @ (setadjoin @ X0 @ emptyset) @ (powerset @ (binunion @ X2 @ X1))) != $true)) => (((in @ sK89 @ sK91) = $true) & ($true != (in @ (setadjoin @ sK89 @ emptyset) @ (powerset @ (binunion @ sK91 @ sK90)))))),
% 0.20/0.56 introduced(choice_axiom,[])).
% 0.20/0.56 thf(f540,plain,(
% 0.20/0.56 (sepSubset = $true) & (binintersectLsub = $true) & (prop2setE = $true) & (subsetRefl = $true) & (subsetE2 = $true) & (setadjoinIL = $true) & (exuI1 = $true) & (setminusLsub = $true) & (setunionE = $true) & (exuEu = $true) & (emptysetAx = $true) & (upairsetIR = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (binintersectI = $true) & (wellorderingAx = $true) & (bs114d = $true) & (setoftrueEq = $true) & (setadjoinIR = $true) & (setadjoin__Cong = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (subsetI1 = $true) & (subsetI2 = $true) & (emptyI = $true) & (eqimpsubset2 = $true) & (binintersectSubset3 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (secondinupair = $true) & (exuE2 = $true) & (binintersectSubset1 = $true) & (nonemptyE1 = $true) & (kpairp = $true) & (dsetconstr__Cong = $true) & (upairsetE = $true) & (binintersectSubset5 = $true) & (descrp = $true) & (subsetTrans = $true) & (setadjoinSub = $true) & (inCongP = $true) & (disjointsetsI1 = $true) & (exuI2 = $true) & (subset2powerset = $true) & (setextAx = $true) & (powersetE = $true) & (eqinunit = $true) & (emptyE1 = $true) & (uniqinunit = $true) & (powersetsubset = $true) & (setminusILneg = $true) & (setminusER = $true) & (emptyinPowerset = $true) & (notdexE = $true) & (notequalI1 = $true) & (setunionI = $true) & (notsubsetI = $true) & (powersetE1 = $true) & (emptyset__Cong = $true) & (binintersectSubset4 = $true) & ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ((in @ (setadjoin @ X0 @ emptyset) @ (powerset @ (binunion @ X2 @ X1))) != $true)) & (singletonsubset = $true) & (subsetE = $true) & (notequalI2 = $true) & (replAx = $true) & (omegaSAx = $true) & (descr__Cong = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (dsetconstrI = $true) & (quantDeMorgan3 = $true) & (setunionAx = $true) & (dsetconstrER = $true) & (singletoninpowerset = $true) & (setukpairIL = $true) & (prop2setI = $true) & (setminusI = $true) & (setminusIRneg = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (binunionE = $true) & (notinsingleton = $true) & (emptyInPowerset = $true) & (exuI3 = $true) & (quantDeMorgan1 = $true) & (in__Cong = $true) & (upairset2IR = $true) & (binintersectSubset2 = $true) & (vacuousDall = $true) & (powersetI1 = $true) & (subPowSU = $true) & (binunionRsub = $true) & (notdallE = $true) & (foundationAx = $true) & (setminusELneg = $true) & (setukpairIR = $true) & (setminusERneg = $true) & (exuE3e = $true) & (upairsetIL = $true) & (exu__Cong = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (binunionLsub = $true) & (subsetemptysetimpeq = $true) & (powersetI = $true) & (quantDeMorgan2 = $true) & (emptysetsubset = $true) & (binintersectER = $true) & (symdiffIneg2 = $true) & (exuE3u = $true) & (omega0Ax = $true) & (emptyinunitempty = $true) & (symdiffE = $true) & (eqimpsubset1 = $true) & (setextsub = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (symdiffI1 = $true) & (binintersectEL = $true) & (nonemptyI = $true) & (setminusEL = $true) & (inPowerset = $true) & (binunionEcases = $true) & (setadjoinSub2 = $true) & (omega__Cong = $true) & (sepInPowerset = $true) & (binintersectRsub = $true) & (setext = $true) & (binunionIR = $true) & (setadjoinE = $true) & (setbeta = $true) & (omegaIndAx = $true) & (notinemptyset = $true) & (kpairiskpair = $true) & (symdiffI2 = $true) & (setadjoinAx = $true) & (symdiffIneg1 = $true) & (prop2set2propI = $true)),
% 0.20/0.56 inference(flattening,[],[f539])).
% 0.20/0.56 thf(f539,plain,(
% 0.20/0.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ((in @ (setadjoin @ X0 @ emptyset) @ (powerset @ (binunion @ X2 @ X1))) != $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.20/0.56 inference(ennf_transformation,[],[f280])).
% 0.20/0.56 thf(f280,plain,(
% 0.20/0.56 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ! [X0,X1,X2] : (($true = (in @ X0 @ X2)) => ((in @ (setadjoin @ X0 @ emptyset) @ (powerset @ (binunion @ X2 @ X1))) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.56 inference(fool_elimination,[],[f279])).
% 0.20/0.56 thf(f279,plain,(
% 0.20/0.56 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => ! [X0,X1,X2] : ((in @ X0 @ X2) => (in @ (setadjoin @ X0 @ emptyset) @ (powerset @ (binunion @ X2 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.56 inference(rectify,[],[f146])).
% 0.20/0.56 thf(f146,negated_conjecture,(
% 0.20/0.56 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => ! [X1,X4,X3] : ((in @ X1 @ X3) => (in @ (setadjoin @ X1 @ emptyset) @ (powerset @ (binunion @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.56 inference(negated_conjecture,[],[f145])).
% 0.20/0.56 thf(f145,conjecture,(
% 0.20/0.56 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => ! [X1,X4,X3] : ((in @ X1 @ X3) => (in @ (setadjoin @ X1 @ emptyset) @ (powerset @ (binunion @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletoninpowunion)).
% 0.20/0.56 thf(f2080,plain,(
% 0.20/0.56 ((in @ sK89 @ sK91) != $true)),
% 0.20/0.56 inference(trivial_inequality_removal,[],[f2079])).
% 0.20/0.56 thf(f2079,plain,(
% 0.20/0.56 ((in @ sK89 @ sK91) != $true) | ($true != $true)),
% 0.20/0.56 inference(forward_demodulation,[],[f2074,f1405])).
% 0.20/0.56 thf(f1405,plain,(
% 0.20/0.56 (binunionIL = $true)),
% 0.20/0.56 inference(cnf_transformation,[],[f770])).
% 0.20/0.56 thf(f2074,plain,(
% 0.20/0.56 ((in @ sK89 @ sK91) != $true) | (binunionIL != $true)),
% 0.20/0.56 inference(trivial_inequality_removal,[],[f2066])).
% 0.20/0.56 thf(f2066,plain,(
% 0.20/0.56 ($true != $true) | ((in @ sK89 @ sK91) != $true) | (binunionIL != $true)),
% 0.20/0.56 inference(superposition,[],[f2060,f1537])).
% 0.20/0.56 thf(f1537,plain,(
% 0.20/0.56 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binunion @ X4 @ X3)) = $true) | ((in @ X5 @ X4) != $true) | (binunionIL != $true)) )),
% 0.20/0.56 inference(cnf_transformation,[],[f789])).
% 0.20/0.56 thf(f789,plain,(
% 0.20/0.56 ((binunionIL = $true) | (((in @ sK104 @ sK103) = $true) & ($true != (in @ sK104 @ (binunion @ sK103 @ sK102))))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ (binunion @ X4 @ X3)) = $true)) | (binunionIL != $true))),
% 0.20/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK102,sK103,sK104])],[f787,f788])).
% 0.20/0.56 thf(f788,plain,(
% 0.20/0.56 ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true)) => (((in @ sK104 @ sK103) = $true) & ($true != (in @ sK104 @ (binunion @ sK103 @ sK102))))),
% 0.20/0.56 introduced(choice_axiom,[])).
% 0.20/0.56 thf(f787,plain,(
% 0.20/0.56 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ (binunion @ X4 @ X3)) = $true)) | (binunionIL != $true))),
% 0.20/0.56 inference(rectify,[],[f786])).
% 0.20/0.56 thf(f786,plain,(
% 0.20/0.56 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ (binunion @ X1 @ X0)) = $true)) | (binunionIL != $true))),
% 0.20/0.56 inference(nnf_transformation,[],[f558])).
% 0.20/0.56 thf(f558,plain,(
% 0.20/0.56 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ (binunion @ X1 @ X0)) = $true))),
% 0.20/0.56 inference(ennf_transformation,[],[f356])).
% 0.20/0.56 thf(f356,plain,(
% 0.20/0.56 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => ((in @ X2 @ (binunion @ X1 @ X0)) = $true))),
% 0.20/0.56 inference(fool_elimination,[],[f355])).
% 0.20/0.56 thf(f355,plain,(
% 0.20/0.56 (binunionIL = ! [X0,X1,X2] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X1 @ X0))))),
% 0.20/0.56 inference(rectify,[],[f101])).
% 0.20/0.56 thf(f101,axiom,(
% 0.20/0.56 (binunionIL = ! [X4,X3,X1] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))))),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionIL)).
% 0.20/0.56 thf(f2060,plain,(
% 0.20/0.56 ($true != (in @ sK89 @ (binunion @ sK91 @ sK90)))),
% 0.20/0.56 inference(trivial_inequality_removal,[],[f2059])).
% 0.20/0.56 thf(f2059,plain,(
% 0.20/0.56 ($true != $true) | ($true != (in @ sK89 @ (binunion @ sK91 @ sK90)))),
% 0.20/0.56 inference(forward_demodulation,[],[f2048,f1448])).
% 0.20/0.56 thf(f1448,plain,(
% 0.20/0.56 (singletoninpowerset = $true)),
% 0.20/0.56 inference(cnf_transformation,[],[f770])).
% 0.20/0.56 thf(f2048,plain,(
% 0.20/0.56 ($true != (in @ sK89 @ (binunion @ sK91 @ sK90))) | (singletoninpowerset != $true)),
% 0.20/0.56 inference(trivial_inequality_removal,[],[f2039])).
% 0.20/0.56 thf(f2039,plain,(
% 0.20/0.56 ($true != (in @ sK89 @ (binunion @ sK91 @ sK90))) | ($true != $true) | (singletoninpowerset != $true)),
% 0.20/0.56 inference(superposition,[],[f1461,f1698])).
% 0.20/0.56 thf(f1698,plain,(
% 0.20/0.56 ( ! [X0 : $i,X1 : $i] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true) | ((in @ X1 @ X0) != $true) | (singletoninpowerset != $true)) )),
% 0.20/0.56 inference(cnf_transformation,[],[f974])).
% 0.20/0.56 thf(f974,plain,(
% 0.20/0.56 (! [X0,X1] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (singletoninpowerset != $true)) & ((singletoninpowerset = $true) | (((in @ (setadjoin @ sK214 @ emptyset) @ (powerset @ sK213)) != $true) & ((in @ sK214 @ sK213) = $true)))),
% 0.20/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK213,sK214])],[f972,f973])).
% 0.20/0.56 thf(f973,plain,(
% 0.20/0.56 ? [X2,X3] : (((in @ (setadjoin @ X3 @ emptyset) @ (powerset @ X2)) != $true) & ((in @ X3 @ X2) = $true)) => (((in @ (setadjoin @ sK214 @ emptyset) @ (powerset @ sK213)) != $true) & ((in @ sK214 @ sK213) = $true))),
% 0.20/0.56 introduced(choice_axiom,[])).
% 0.20/0.56 thf(f972,plain,(
% 0.20/0.56 (! [X0,X1] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (singletoninpowerset != $true)) & ((singletoninpowerset = $true) | ? [X2,X3] : (((in @ (setadjoin @ X3 @ emptyset) @ (powerset @ X2)) != $true) & ((in @ X3 @ X2) = $true)))),
% 0.20/0.56 inference(rectify,[],[f971])).
% 0.20/0.56 thf(f971,plain,(
% 0.20/0.56 (! [X0,X1] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (singletoninpowerset != $true)) & ((singletoninpowerset = $true) | ? [X0,X1] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) != $true) & ((in @ X1 @ X0) = $true)))),
% 0.20/0.56 inference(nnf_transformation,[],[f507])).
% 0.20/0.56 thf(f507,plain,(
% 0.20/0.56 ! [X0,X1] : (((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true) | ((in @ X1 @ X0) != $true)) <=> (singletoninpowerset = $true)),
% 0.20/0.56 inference(ennf_transformation,[],[f163])).
% 0.20/0.56 thf(f163,plain,(
% 0.20/0.56 ! [X0,X1] : (((in @ X1 @ X0) = $true) => ((in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0)) = $true)) <=> (singletoninpowerset = $true)),
% 0.20/0.56 inference(fool_elimination,[],[f162])).
% 0.20/0.56 thf(f162,plain,(
% 0.20/0.56 (singletoninpowerset = ! [X0,X1] : ((in @ X1 @ X0) => (in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X0))))),
% 0.20/0.56 inference(rectify,[],[f144])).
% 0.20/0.56 thf(f144,axiom,(
% 0.20/0.56 (singletoninpowerset = ! [X3,X1] : ((in @ X1 @ X3) => (in @ (setadjoin @ X1 @ emptyset) @ (powerset @ X3))))),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletoninpowerset)).
% 0.20/0.56 thf(f1461,plain,(
% 0.20/0.56 ($true != (in @ (setadjoin @ sK89 @ emptyset) @ (powerset @ (binunion @ sK91 @ sK90))))),
% 0.20/0.56 inference(cnf_transformation,[],[f770])).
% 0.20/0.56 % SZS output end Proof for theBenchmark
% 0.20/0.56 % (29371)------------------------------
% 0.20/0.56 % (29371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (29371)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (29371)Memory used [KB]: 7931
% 0.20/0.56 % (29371)Time elapsed: 0.116 s
% 0.20/0.56 % (29371)Instructions burned: 181 (million)
% 0.20/0.56 % (29371)------------------------------
% 0.20/0.56 % (29371)------------------------------
% 0.20/0.56 % (29348)Success in time 0.199 s
% 0.20/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------