TSTP Solution File: SEU712^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU712^1 : 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 : n019.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 03:50:57 EDT 2024
% Result : Theorem 1.39s 0.60s
% Output : Refutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU712^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:11:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 % (572)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.40 % (576)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.40 % (569)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.40 % (572)Instruction limit reached!
% 0.21/0.40 % (572)------------------------------
% 0.21/0.40 % (572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (572)Termination reason: Unknown
% 0.21/0.40 % (572)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (572)Memory used [KB]: 1407
% 0.21/0.40 % (572)Time elapsed: 0.004 s
% 0.21/0.40 % (572)Instructions burned: 3 (million)
% 0.21/0.40 % (572)------------------------------
% 0.21/0.40 % (572)------------------------------
% 0.21/0.40 % (571)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)
% 0.21/0.40 % (574)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)
% 0.21/0.40 % (570)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)
% 0.21/0.40 % (574)Instruction limit reached!
% 0.21/0.40 % (574)------------------------------
% 0.21/0.40 % (574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (574)Termination reason: Unknown
% 0.21/0.40 % (574)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (574)Memory used [KB]: 1407
% 0.21/0.40 % (574)Time elapsed: 0.004 s
% 0.21/0.40 % (574)Instructions burned: 3 (million)
% 0.21/0.40 % (574)------------------------------
% 0.21/0.40 % (574)------------------------------
% 0.21/0.41 % (575)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)
% 0.21/0.41 % (570)Instruction limit reached!
% 0.21/0.41 % (570)------------------------------
% 0.21/0.41 % (570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (570)Termination reason: Unknown
% 0.21/0.41 % (570)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (570)Memory used [KB]: 1407
% 0.21/0.41 % (570)Time elapsed: 0.006 s
% 0.21/0.41 % (570)Instructions burned: 4 (million)
% 0.21/0.41 % (570)------------------------------
% 0.21/0.41 % (570)------------------------------
% 0.21/0.41 % (577)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)
% 0.21/0.41 % (577)Instruction limit reached!
% 0.21/0.41 % (577)------------------------------
% 0.21/0.41 % (577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (577)Termination reason: Unknown
% 0.21/0.41 % (577)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (577)Memory used [KB]: 1407
% 0.21/0.41 % (577)Time elapsed: 0.004 s
% 0.21/0.41 % (577)Instructions burned: 3 (million)
% 0.21/0.41 % (577)------------------------------
% 0.21/0.41 % (577)------------------------------
% 0.21/0.41 % (576)Instruction limit reached!
% 0.21/0.41 % (576)------------------------------
% 0.21/0.41 % (576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (576)Termination reason: Unknown
% 0.21/0.41 % (576)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (576)Memory used [KB]: 1791
% 0.21/0.41 % (576)Time elapsed: 0.014 s
% 0.21/0.41 % (576)Instructions burned: 19 (million)
% 0.21/0.41 % (576)------------------------------
% 0.21/0.41 % (576)------------------------------
% 0.21/0.42 % (571)Instruction limit reached!
% 0.21/0.42 % (571)------------------------------
% 0.21/0.42 % (571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (571)Termination reason: Unknown
% 0.21/0.42 % (571)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (571)Memory used [KB]: 1918
% 0.21/0.42 % (571)Time elapsed: 0.016 s
% 0.21/0.42 % (571)Instructions burned: 27 (million)
% 0.21/0.42 % (571)------------------------------
% 0.21/0.42 % (571)------------------------------
% 0.21/0.42 % (580)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)
% 0.21/0.42 % (582)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)
% 0.21/0.42 % (584)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)
% 0.21/0.43 % (584)Instruction limit reached!
% 0.21/0.43 % (584)------------------------------
% 0.21/0.43 % (584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (584)Termination reason: Unknown
% 0.21/0.43 % (584)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (584)Memory used [KB]: 1407
% 0.21/0.43 % (584)Time elapsed: 0.003 s
% 0.21/0.43 % (584)Instructions burned: 3 (million)
% 0.21/0.43 % (584)------------------------------
% 0.21/0.43 % (584)------------------------------
% 0.21/0.43 % (585)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)
% 0.21/0.43 % (586)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (582)Instruction limit reached!
% 0.21/0.43 % (582)------------------------------
% 0.21/0.43 % (582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (582)Termination reason: Unknown
% 0.21/0.43 % (582)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (582)Memory used [KB]: 1663
% 0.21/0.43 % (582)Time elapsed: 0.012 s
% 0.21/0.43 % (582)Instructions burned: 16 (million)
% 0.21/0.43 % (582)------------------------------
% 0.21/0.43 % (582)------------------------------
% 0.21/0.43 % (586)Instruction limit reached!
% 0.21/0.43 % (586)------------------------------
% 0.21/0.43 % (586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (586)Termination reason: Unknown
% 0.21/0.43 % (586)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (586)Memory used [KB]: 1535
% 0.21/0.43 % (586)Time elapsed: 0.006 s
% 0.21/0.43 % (586)Instructions burned: 7 (million)
% 0.21/0.43 % (586)------------------------------
% 0.21/0.43 % (586)------------------------------
% 0.21/0.43 % (587)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.44 % (580)Instruction limit reached!
% 0.21/0.44 % (580)------------------------------
% 0.21/0.44 % (580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (580)Termination reason: Unknown
% 0.21/0.44 % (580)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (580)Memory used [KB]: 2174
% 0.21/0.44 % (580)Time elapsed: 0.021 s
% 0.21/0.44 % (580)Instructions burned: 37 (million)
% 0.21/0.44 % (580)------------------------------
% 0.21/0.44 % (580)------------------------------
% 0.21/0.44 % (587)Instruction limit reached!
% 0.21/0.44 % (587)------------------------------
% 0.21/0.44 % (587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (587)Termination reason: Unknown
% 0.21/0.44 % (587)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (587)Memory used [KB]: 1791
% 0.21/0.44 % (587)Time elapsed: 0.010 s
% 0.21/0.44 % (587)Instructions burned: 16 (million)
% 0.21/0.44 % (587)------------------------------
% 0.21/0.44 % (587)------------------------------
% 0.21/0.44 % (588)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)
% 0.21/0.44 % (588)Instruction limit reached!
% 0.21/0.44 % (588)------------------------------
% 0.21/0.44 % (588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (588)Termination reason: Unknown
% 0.21/0.44 % (588)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (588)Memory used [KB]: 1407
% 0.21/0.44 % (588)Time elapsed: 0.004 s
% 0.21/0.44 % (588)Instructions burned: 3 (million)
% 0.21/0.44 % (588)------------------------------
% 0.21/0.44 % (588)------------------------------
% 0.21/0.45 % (589)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)
% 0.21/0.45 % (590)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)
% 0.21/0.45 % (589)Instruction limit reached!
% 0.21/0.45 % (589)------------------------------
% 0.21/0.45 % (589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (589)Termination reason: Unknown
% 0.21/0.45 % (589)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (589)Memory used [KB]: 1407
% 0.21/0.45 % (589)Time elapsed: 0.004 s
% 0.21/0.45 % (589)Instructions burned: 3 (million)
% 0.21/0.45 % (589)------------------------------
% 0.21/0.45 % (589)------------------------------
% 0.21/0.45 % (590)Instruction limit reached!
% 0.21/0.45 % (590)------------------------------
% 0.21/0.45 % (590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (590)Termination reason: Unknown
% 0.21/0.45 % (590)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (590)Memory used [KB]: 1535
% 0.21/0.45 % (590)Time elapsed: 0.006 s
% 0.21/0.45 % (590)Instructions burned: 7 (million)
% 0.21/0.45 % (590)------------------------------
% 0.21/0.45 % (590)------------------------------
% 0.21/0.45 % (591)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)
% 0.21/0.45 % (591)Instruction limit reached!
% 0.21/0.45 % (591)------------------------------
% 0.21/0.45 % (591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (591)Termination reason: Unknown
% 0.21/0.45 % (591)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (591)Memory used [KB]: 1407
% 0.21/0.45 % (591)Time elapsed: 0.004 s
% 0.21/0.45 % (591)Instructions burned: 3 (million)
% 0.21/0.45 % (591)------------------------------
% 0.21/0.45 % (591)------------------------------
% 0.21/0.46 % (592)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.46 % (593)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)
% 0.21/0.46 % (592)Instruction limit reached!
% 0.21/0.46 % (592)------------------------------
% 0.21/0.46 % (592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (592)Termination reason: Unknown
% 0.21/0.46 % (592)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (592)Memory used [KB]: 1407
% 0.21/0.46 % (592)Time elapsed: 0.005 s
% 0.21/0.46 % (592)Instructions burned: 5 (million)
% 0.21/0.46 % (592)------------------------------
% 0.21/0.46 % (592)------------------------------
% 0.21/0.46 % (594)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (595)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (593)Instruction limit reached!
% 0.21/0.47 % (593)------------------------------
% 0.21/0.47 % (593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (593)Termination reason: Unknown
% 0.21/0.47 % (593)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (593)Memory used [KB]: 1791
% 0.21/0.47 % (593)Time elapsed: 0.012 s
% 0.21/0.47 % (593)Instructions burned: 19 (million)
% 0.21/0.47 % (593)------------------------------
% 0.21/0.47 % (593)------------------------------
% 0.21/0.47 % (595)Instruction limit reached!
% 0.21/0.47 % (595)------------------------------
% 0.21/0.47 % (595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (595)Termination reason: Unknown
% 0.21/0.47 % (595)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (595)Memory used [KB]: 1535
% 0.21/0.47 % (595)Time elapsed: 0.006 s
% 0.21/0.47 % (595)Instructions burned: 7 (million)
% 0.21/0.47 % (595)------------------------------
% 0.21/0.47 % (595)------------------------------
% 0.21/0.47 % (596)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)
% 0.21/0.47 % (597)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)
% 0.21/0.48 % (600)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48 % (601)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)
% 0.21/0.48 % (597)Instruction limit reached!
% 0.21/0.48 % (597)------------------------------
% 0.21/0.48 % (597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (597)Termination reason: Unknown
% 0.21/0.48 % (597)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (597)Memory used [KB]: 1918
% 0.21/0.48 % (597)Time elapsed: 0.014 s
% 0.21/0.48 % (597)Instructions burned: 22 (million)
% 0.21/0.48 % (597)------------------------------
% 0.21/0.48 % (597)------------------------------
% 0.21/0.49 % (600)Instruction limit reached!
% 0.21/0.49 % (600)------------------------------
% 0.21/0.49 % (600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (600)Termination reason: Unknown
% 0.21/0.49 % (600)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (600)Memory used [KB]: 1407
% 0.21/0.49 % (600)Time elapsed: 0.005 s
% 0.21/0.49 % (600)Instructions burned: 5 (million)
% 0.21/0.49 % (600)------------------------------
% 0.21/0.49 % (600)------------------------------
% 0.21/0.49 % (569)Instruction limit reached!
% 0.21/0.49 % (569)------------------------------
% 0.21/0.49 % (569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (569)Termination reason: Unknown
% 0.21/0.49 % (569)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (569)Memory used [KB]: 7547
% 0.21/0.49 % (569)Time elapsed: 0.088 s
% 0.21/0.49 % (569)Instructions burned: 184 (million)
% 0.21/0.49 % (569)------------------------------
% 0.21/0.49 % (569)------------------------------
% 0.21/0.49 % (601)Instruction limit reached!
% 0.21/0.49 % (601)------------------------------
% 0.21/0.49 % (601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (601)Termination reason: Unknown
% 0.21/0.49 % (601)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (601)Memory used [KB]: 1535
% 0.21/0.49 % (601)Time elapsed: 0.005 s
% 0.21/0.49 % (601)Instructions burned: 6 (million)
% 0.21/0.49 % (601)------------------------------
% 0.21/0.49 % (601)------------------------------
% 0.21/0.50 % (613)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)
% 0.21/0.50 % (610)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (611)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)
% 0.21/0.50 % (613)Instruction limit reached!
% 0.21/0.50 % (613)------------------------------
% 0.21/0.50 % (613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (613)Termination reason: Unknown
% 0.21/0.50 % (613)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (613)Memory used [KB]: 1791
% 0.21/0.50 % (613)Time elapsed: 0.007 s
% 0.21/0.50 % (613)Instructions burned: 19 (million)
% 0.21/0.50 % (613)------------------------------
% 0.21/0.50 % (613)------------------------------
% 0.21/0.50 % (614)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)
% 0.21/0.51 % (623)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.52 % (623)Instruction limit reached!
% 0.21/0.52 % (623)------------------------------
% 0.21/0.52 % (623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (623)Termination reason: Unknown
% 0.21/0.52 % (623)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (623)Memory used [KB]: 1791
% 0.21/0.52 % (623)Time elapsed: 0.007 s
% 0.21/0.52 % (623)Instructions burned: 18 (million)
% 0.21/0.52 % (623)------------------------------
% 0.21/0.52 % (623)------------------------------
% 1.21/0.53 % (634)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.21/0.53 % (634)Instruction limit reached!
% 1.21/0.53 % (634)------------------------------
% 1.21/0.53 % (634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.53 % (634)Termination reason: Unknown
% 1.21/0.53 % (634)Termination phase: shuffling
% 1.21/0.53
% 1.21/0.53 % (634)Memory used [KB]: 1407
% 1.21/0.53 % (634)Time elapsed: 0.003 s
% 1.21/0.53 % (634)Instructions burned: 4 (million)
% 1.21/0.53 % (634)------------------------------
% 1.21/0.53 % (634)------------------------------
% 1.39/0.54 % (647)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.39/0.54 % (575)Instruction limit reached!
% 1.39/0.54 % (575)------------------------------
% 1.39/0.54 % (575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.54 % (575)Termination reason: Unknown
% 1.39/0.54 % (575)Termination phase: Saturation
% 1.39/0.54
% 1.39/0.54 % (575)Memory used [KB]: 9338
% 1.39/0.54 % (575)Time elapsed: 0.140 s
% 1.39/0.54 % (575)Instructions burned: 275 (million)
% 1.39/0.54 % (575)------------------------------
% 1.39/0.54 % (575)------------------------------
% 1.39/0.55 % (647)Instruction limit reached!
% 1.39/0.55 % (647)------------------------------
% 1.39/0.55 % (647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.55 % (647)Termination reason: Unknown
% 1.39/0.55 % (647)Termination phase: shuffling
% 1.39/0.55
% 1.39/0.55 % (647)Memory used [KB]: 1918
% 1.39/0.55 % (647)Time elapsed: 0.011 s
% 1.39/0.55 % (647)Instructions burned: 31 (million)
% 1.39/0.55 % (647)------------------------------
% 1.39/0.55 % (647)------------------------------
% 1.39/0.55 % (667)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)
% 1.39/0.56 % (672)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)
% 1.39/0.59 % (667)Instruction limit reached!
% 1.39/0.59 % (667)------------------------------
% 1.39/0.59 % (667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.59 % (667)Termination reason: Unknown
% 1.39/0.59 % (667)Termination phase: Property scanning
% 1.39/0.59
% 1.39/0.59 % (667)Memory used [KB]: 2558
% 1.39/0.59 % (667)Time elapsed: 0.036 s
% 1.39/0.59 % (667)Instructions burned: 129 (million)
% 1.39/0.59 % (667)------------------------------
% 1.39/0.59 % (667)------------------------------
% 1.39/0.59 % (672)Instruction limit reached!
% 1.39/0.59 % (672)------------------------------
% 1.39/0.59 % (672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.59 % (672)Termination reason: Unknown
% 1.39/0.59 % (672)Termination phase: Property scanning
% 1.39/0.59
% 1.39/0.59 % (672)Memory used [KB]: 2430
% 1.39/0.59 % (672)Time elapsed: 0.029 s
% 1.39/0.59 % (672)Instructions burned: 100 (million)
% 1.39/0.59 % (672)------------------------------
% 1.39/0.59 % (672)------------------------------
% 1.39/0.60 % (687)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 (2997ds/3Mi)
% 1.39/0.60 % (687)Instruction limit reached!
% 1.39/0.60 % (687)------------------------------
% 1.39/0.60 % (687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.60 % (687)Termination reason: Unknown
% 1.39/0.60 % (687)Termination phase: shuffling
% 1.39/0.60
% 1.39/0.60 % (687)Memory used [KB]: 1407
% 1.39/0.60 % (687)Time elapsed: 0.002 s
% 1.39/0.60 % (687)Instructions burned: 3 (million)
% 1.39/0.60 % (687)------------------------------
% 1.39/0.60 % (687)------------------------------
% 1.39/0.60 % (688)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 (2997ds/20Mi)
% 1.39/0.60 % (596)First to succeed.
% 1.39/0.60 % (596)Refutation found. Thanks to Tanya!
% 1.39/0.60 % SZS status Theorem for theBenchmark
% 1.39/0.60 % SZS output start Proof for theBenchmark
% 1.39/0.60 thf(func_def_0, type, in: $i > $i > $o).
% 1.39/0.60 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.39/0.60 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.39/0.60 thf(func_def_8, type, powerset: $i > $i).
% 1.39/0.60 thf(func_def_10, type, setunion: $i > $i).
% 1.39/0.60 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_26, type, prop2set: $o > $i).
% 1.39/0.60 thf(func_def_36, type, nonempty: $i > $o).
% 1.39/0.60 thf(func_def_69, type, set2prop: $i > $o).
% 1.39/0.60 thf(func_def_88, type, subset: $i > $i > $o).
% 1.39/0.60 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.39/0.60 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.39/0.60 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.39/0.60 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.39/0.60 thf(func_def_135, type, regular: $i > $o).
% 1.39/0.60 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.39/0.60 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.39/0.60 thf(func_def_153, type, iskpair: $i > $o).
% 1.39/0.60 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.39/0.60 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.39/0.60 thf(func_def_177, type, singleton: $i > $o).
% 1.39/0.60 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.39/0.60 thf(func_def_184, type, atmost1p: $i > $o).
% 1.39/0.60 thf(func_def_185, type, atleast2p: $i > $o).
% 1.39/0.60 thf(func_def_186, type, atmost2p: $i > $o).
% 1.39/0.60 thf(func_def_187, type, upairsetp: $i > $o).
% 1.39/0.60 thf(func_def_191, type, kfst: $i > $i).
% 1.39/0.60 thf(func_def_203, type, ksnd: $i > $i).
% 1.39/0.60 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.39/0.60 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.39/0.60 thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.39/0.60 thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.39/0.60 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.39/0.60 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.39/0.60 thf(func_def_282, type, sP2: $i > $i > $i > $i > $o).
% 1.39/0.60 thf(func_def_284, type, sP4: $i > $i > $o).
% 1.39/0.60 thf(func_def_285, type, sP5: $i > $o).
% 1.39/0.60 thf(func_def_286, type, sP6: $i > $i > $o).
% 1.39/0.60 thf(func_def_287, type, sP7: $i > $i > $o).
% 1.39/0.60 thf(func_def_289, type, sP9: $i > $i > $i > $o > $o).
% 1.39/0.60 thf(func_def_292, type, sK12: $i > $o).
% 1.39/0.60 thf(func_def_294, type, sK14: $i > $i).
% 1.39/0.60 thf(func_def_297, type, sK17: $i > ($i > $i) > $i > $i).
% 1.39/0.60 thf(func_def_307, type, sK27: $i > $i).
% 1.39/0.60 thf(func_def_313, type, sK33: $i > $o).
% 1.39/0.60 thf(func_def_315, type, sK35: $i > $o).
% 1.39/0.60 thf(func_def_332, type, sK52: $i > $i > $o).
% 1.39/0.60 thf(func_def_344, type, sK64: $i > $i).
% 1.39/0.60 thf(func_def_346, type, sK66: $i > ($i > $i) > $i > $i).
% 1.39/0.60 thf(func_def_359, type, sK79: $i > $i > $o).
% 1.39/0.60 thf(func_def_368, type, sK88: $i > $i > $o).
% 1.39/0.60 thf(func_def_373, type, sK93: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_375, type, sK95: $i > $o).
% 1.39/0.60 thf(func_def_381, type, sK101: $i > $i).
% 1.39/0.60 thf(func_def_386, type, sK106: $i > $o).
% 1.39/0.60 thf(func_def_388, type, sK108: $i > $o).
% 1.39/0.60 thf(func_def_389, type, sK109: $i > $o).
% 1.39/0.60 thf(func_def_390, type, sK110: ($i > $o) > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_391, type, sK111: ($i > $o) > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_397, type, sK117: $i > $o).
% 1.39/0.60 thf(func_def_399, type, sK119: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_400, type, sK120: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_401, type, sK121: $i > $o).
% 1.39/0.60 thf(func_def_403, type, sK123: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_405, type, sK125: $i > $o).
% 1.39/0.60 thf(func_def_414, type, sK134: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_415, type, sK135: $i > $o).
% 1.39/0.60 thf(func_def_418, type, sK138: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_420, type, sK140: $i > $o).
% 1.39/0.60 thf(func_def_421, type, sK141: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_424, type, sK144: $i > $i > $i).
% 1.39/0.60 thf(func_def_434, type, sK154: ($i > $o) > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_435, type, sK155: ($i > $o) > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_436, type, sK156: $i > $o).
% 1.39/0.60 thf(func_def_437, type, sK157: $i > $o).
% 1.39/0.60 thf(func_def_442, type, sK162: $i > $o).
% 1.39/0.60 thf(func_def_444, type, sK164: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_445, type, sK165: ($i > $o) > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_446, type, sK166: ($i > $o) > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_450, type, sK170: $i > $o).
% 1.39/0.60 thf(func_def_456, type, sK176: $i > $i > $o).
% 1.39/0.60 thf(func_def_468, type, sK188: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_469, type, sK189: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_470, type, sK190: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_471, type, sK191: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_478, type, sK198: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_479, type, sK199: $i > $o).
% 1.39/0.60 thf(func_def_480, type, sK200: $i > $i).
% 1.39/0.60 thf(func_def_490, type, sK210: $i > $o).
% 1.39/0.60 thf(func_def_500, type, sK220: $i > $o).
% 1.39/0.60 thf(func_def_501, type, sK221: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_502, type, sK222: $i > $i > $i).
% 1.39/0.60 thf(func_def_506, type, sK226: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_507, type, sK227: $i > $o).
% 1.39/0.60 thf(func_def_518, type, sK238: $i > $i > $i).
% 1.39/0.60 thf(func_def_519, type, sK239: $i > $i > $i).
% 1.39/0.60 thf(func_def_520, type, sK240: $i > $i > $i).
% 1.39/0.60 thf(func_def_521, type, sK241: $i > $i > $i).
% 1.39/0.60 thf(func_def_522, type, sK242: $i > $i > $i).
% 1.39/0.60 thf(func_def_523, type, sK243: $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_524, type, sK244: $i > $i).
% 1.39/0.60 thf(func_def_525, type, sK245: $i > $i).
% 1.39/0.60 thf(func_def_526, type, sK246: $i > $i).
% 1.39/0.60 thf(func_def_527, type, sK247: $i > $i).
% 1.39/0.60 thf(func_def_528, type, sK248: $i > $i > $i).
% 1.39/0.60 thf(func_def_529, type, sK249: $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_530, type, sK250: $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_531, type, sK251: $i > $i > $i).
% 1.39/0.60 thf(func_def_532, type, sK252: $i > $i > $i).
% 1.39/0.60 thf(func_def_534, type, sK254: $i > $i).
% 1.39/0.60 thf(func_def_535, type, sK255: $i > $i).
% 1.39/0.60 thf(func_def_536, type, sK256: $i > $i).
% 1.39/0.60 thf(func_def_560, type, sK280: $i > $i > $i).
% 1.39/0.60 thf(func_def_568, type, sK288: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_569, type, sK289: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_570, type, sK290: $i > $o).
% 1.39/0.60 thf(func_def_576, type, sK296: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_578, type, sK298: $i > $o).
% 1.39/0.60 thf(func_def_587, type, sK307: $i > $i).
% 1.39/0.60 thf(func_def_588, type, sK308: $i > $o).
% 1.39/0.60 thf(func_def_589, type, sK309: $i > $i).
% 1.39/0.60 thf(func_def_590, type, sK310: ($i > $o) > $i).
% 1.39/0.60 thf(func_def_591, type, sK311: $i > $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_592, type, sK312: $i > $o).
% 1.39/0.60 thf(func_def_599, type, sK319: $i > $o).
% 1.39/0.60 thf(func_def_609, type, sK329: $i > $i).
% 1.39/0.60 thf(func_def_611, type, sK331: $i > ($i > $i) > $i > $i).
% 1.39/0.60 thf(func_def_628, type, sK348: $i > $i > $o).
% 1.39/0.60 thf(func_def_636, type, sK356: $i > $o).
% 1.39/0.60 thf(func_def_643, type, sK363: $i > $i > $o).
% 1.39/0.60 thf(func_def_645, type, sK365: $i > $o).
% 1.39/0.60 thf(func_def_647, type, sK367: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_660, type, sK380: $i > $i).
% 1.39/0.60 thf(func_def_661, type, sK381: ($i > $i) > $i > $i > $i).
% 1.39/0.60 thf(func_def_668, type, sK388: $i > $i > $o).
% 1.39/0.60 thf(func_def_670, type, sK390: $i > $i).
% 1.39/0.60 thf(func_def_671, type, sK391: $i > $i).
% 1.39/0.60 thf(func_def_672, type, sK392: $i > ($i > $i > $o) > $i).
% 1.39/0.60 thf(func_def_673, type, sK393: $i > $i > ($i > $i > $o) > $i).
% 1.39/0.60 thf(func_def_674, type, sK394: $i > ($i > $i > $o) > $i).
% 1.39/0.60 thf(func_def_685, type, sK405: $i > $i).
% 1.39/0.60 thf(func_def_686, type, sK406: ($i > $i) > $i > $i > $i).
% 1.39/0.60 thf(func_def_687, type, sK407: $i > $i > $i).
% 1.39/0.60 thf(func_def_693, type, sK413: $i > $i > $i).
% 1.39/0.60 thf(func_def_697, type, sK417: $i > $i > $i).
% 1.39/0.60 thf(func_def_714, type, sK434: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_746, type, sK466: $i > $i).
% 1.39/0.60 thf(func_def_747, type, sK467: ($i > $o) > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_748, type, sK468: ($i > $o) > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_752, type, sK472: $i > $o).
% 1.39/0.60 thf(func_def_770, type, sK490: $i > $i > $o).
% 1.39/0.60 thf(func_def_790, type, sK510: $i > $o).
% 1.39/0.60 thf(func_def_792, type, sK512: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_793, type, sK513: ($i > $o) > $i > $i).
% 1.39/0.60 thf(func_def_798, type, sK518: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_799, type, sK519: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_800, type, sK520: $i > $o).
% 1.39/0.60 thf(func_def_809, type, sK529: $i > $o).
% 1.39/0.60 thf(func_def_817, type, sK537: $o > $i > $i > $i).
% 1.39/0.60 thf(func_def_827, type, sK547: $i > $i).
% 1.39/0.60 thf(func_def_829, type, sK549: ($i > $i) > $i > $i > $i).
% 1.39/0.60 thf(func_def_853, type, sK573: $i > $o).
% 1.39/0.60 thf(func_def_856, type, sK576: $i > ($i > $o) > $i).
% 1.39/0.60 thf(func_def_872, type, sK592: $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_873, type, sK593: $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_878, type, sK598: $i > $i > $i > $i > $i).
% 1.39/0.60 thf(func_def_886, type, sK606: $i > $o).
% 1.39/0.60 thf(func_def_887, type, sK607: $i > $i > $i).
% 1.39/0.60 thf(func_def_888, type, sK608: $i > $i > $i).
% 1.39/0.60 thf(func_def_895, type, sK615: $i > $i).
% 1.39/0.60 thf(func_def_902, type, sK622: $i > $i > $i).
% 1.39/0.60 thf(func_def_905, type, sK625: $i > $o).
% 1.39/0.60 thf(func_def_906, type, sK626: $i > $o).
% 1.39/0.60 thf(func_def_907, type, sK627: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.39/0.60 thf(func_def_908, type, sK628: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.39/0.60 thf(func_def_916, type, sK636: $i > $o).
% 1.39/0.60 thf(func_def_917, type, sK637: $i > $o).
% 1.39/0.60 thf(func_def_944, type, sK664: $i > $i).
% 1.39/0.60 thf(func_def_946, type, sK666: $i > $i).
% 1.39/0.60 thf(func_def_959, type, sK679: $i > $i > $i).
% 1.39/0.60 thf(func_def_999, type, ph719: !>[X0: $tType]:(X0)).
% 1.39/0.60 thf(f4250,plain,(
% 1.39/0.60 $false),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f4242])).
% 1.39/0.60 thf(f4242,plain,(
% 1.39/0.60 ($true != $true)),
% 1.39/0.60 inference(superposition,[],[f3490,f3437])).
% 1.39/0.60 thf(f3437,plain,(
% 1.39/0.60 ((subset @ sK502 @ sK503) = $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3436])).
% 1.39/0.60 thf(f3436,plain,(
% 1.39/0.60 ((subset @ sK502 @ sK503) = $true) | ($true != $true)),
% 1.39/0.60 inference(forward_demodulation,[],[f3414,f2761])).
% 1.39/0.60 thf(f2761,plain,(
% 1.39/0.60 (powersetE1 = $true)),
% 1.39/0.60 inference(cnf_transformation,[],[f1755])).
% 1.39/0.60 thf(f1755,plain,(
% 1.39/0.60 (binintersectT_lem = $true) & (funcGraphProp2 = $true) & (dpsetconstrI = $true) & (binintersectSubset3 = $true) & (cartprodfstpairEq = $true) & (lam2p = $true) & (ex1I = $true) & (binintersectI = $true) & (emptysetsubset = $true) & (subset2powerset = $true) & (powersetI = $true) & (setukpairinjR11 = $true) & (subsetI2 = $true) & (disjointsetsI1 = $true) & (subbreln = $true) & (setukpairinjR = $true) & (setadjoinOr = $true) & (dsetconstr__Cong = $true) & (setextsub = $true) & (binunionRsub = $true) & (iftrueProp1 = $true) & (symdiffE = $true) & (funcGraphProp1 = $true) & (iftrueorfalse = $true) & (binintersectSubset4 = $true) & (cartprodpairmemEL = $true) & (infuncsetfunc = $true) & (secondinupair = $true) & (prop2set2propI = $true) & (binintersectEL = $true) & (upairset2IR = $true) & (powersetE = $true) & (setminusILneg = $true) & (setukpairinjL2 = $true) & (dpsetconstrSub = $true) & (inPowerset = $true) & (prop2setI = $true) & (cartprodpairin = $true) & (setbeta = $true) & (setukpairIR = $true) & (funcGraphProp3 = $true) & (((in @ sK502 @ (powerset @ sK503)) = $true) & ((in @ (powerset @ sK502) @ (powerset @ (powerset @ sK503))) != $true)) & (in__Cong = $true) & (foundationAx = $true) & (quantDeMorgan2 = $true) & (setminusLsub = $true) & (upairset2E = $true) & (emptysetE = $true) & (setukpairinjL1 = $true) & (binintersectLsub = $true) & (ap2p = $true) & (omegaIndAx = $true) & (omega__Cong = $true) & (kfstpairEq = $true) & (singletoninpowerset = $true) & (cartprodmempair1 = $true) & (ex1E2 = $true) & (subsetemptysetimpeq = $true) & (dsetconstrI = $true) & (setminusSubset1 = $true) & (ifSingleton = $true) & (upairsetIL = $true) & (subsetE = $true) & (brelnall2 = $true) & (lamProp = $true) & (emptyI = $true) & (kpairsurjEq = $true) & (beta2 = $true) & (lamp = $true) & (nonemptyImpWitness = $true) & (setunion__Cong = $true) & (dpsetconstrEL2 = $true) & (iftrue = $true) & (setoftrueEq = $true) & (exuE2 = $true) & (emptysetimpfalse = $true) & (funcinfuncset = $true) & (setOfPairsIsBReln = $true) & (binunionLsub = $true) & (emptyinPowerset = $true) & (exuE1 = $true) & (apProp = $true) & (cartprodmempaircEq = $true) & (theeq = $true) & (cartprodfstin = $true) & (prop2setE = $true) & (emptyInPowerset = $true) & (notdexE = $true) & (app = $true) & (subsetE2 = $true) & (funcextLem = $true) & (replAx = $true) & (symdiffIneg2 = $true) & (descrp = $true) & (setextAx = $true) & (ifp = $true) & (setunionAx = $true) & (cartprodpairmemER = $true) & (quantDeMorgan1 = $true) & (omegaSAx = $true) & (upairequniteq = $true) & (binintersectRsub = $true) & (eta2 = $true) & (funcext = $true) & (kpairp = $true) & (symdiffI1 = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (descr__Cong = $true) & (inCongP = $true) & (subsetTrans = $true) & (setminusER = $true) & (kfstsingleton = $true) & (funcImageSingleton = $true) & (binintersectSubset2 = $true) & (notinsingleton = $true) & (binintersectSubset5 = $true) & (exuEu = $true) & (theprop = $true) & (ksndsingleton = $true) & (cartprodmempair = $true) & (singletonsswitch = $true) & (setminusI = $true) & (omega0Ax = $true) & (vacuousDall = $true) & (sepInPowerset = $true) & (binunionEcases = $true) & (ap2apEq1 = $true) & (eta1 = $true) & (ubforcartprodlem2 = $true) & (emptysetAx = $true) & (subsetRefl = $true) & (upairsetIR = $true) & (setminusEL = $true) & (dpsetconstrERa = $true) & (setminusERneg = $true) & (notdallE = $true) & (uniqinunit = $true) & (singletonprop = $true) & (bs114d = $true) & (notinemptyset = $true) & (setunionE = $true) & (sepSubset = $true) & (wellorderingAx = $true) & (ubforcartprodlem1 = $true) & (exuE3e = $true) & (binunionE = $true) & (powersetI1 = $true) & (nonemptyI = $true) & (cartprodpairsurjEq = $true) & (iffalse = $true) & (ap2apEq2 = $true) & (brelnall1 = $true) & (emptyset__Cong = $true) & (eqimpsubset2 = $true) & (nonemptyE1 = $true) & (dsetconstrEL = $true) & (dpsetconstrEL1 = $true) & (upairsetE = $true) & (eqinunit = $true) & (upairinpowunion = $true) & (emptyinunitempty = $true) & (subsetI1 = $true) & (iffalseProp2 = $true) & (setukpairinjL = $true) & (setukpairinjR1 = $true) & (ex1I2 = $true) & (eqimpsubset1 = $true) & (lam2lamEq = $true) & (setunionsingleton = $true) & (setunionE2 = $true) & (dsetconstrER = $true) & (exuI2 = $true) & (powersetAx = $true) & (setadjoinSub = $true) & (dpsetconstrER = $true) & (notequalI1 = $true) & (exuE3u = $true) & (ksndpairEq = $true) & (exuI1 = $true) & (exu__Cong = $true) & (funcGraphProp4 = $true) & (ex1E1 = $true) & (beta1 = $true) & (setadjoinAx = $true) & (quantDeMorgan3 = $true) & (nonemptyI1 = $true) & (quantDeMorgan4 = $true) & (symdiffI2 = $true) & (powerset__Cong = $true) & (subPowSU = $true) & (setadjoinIR = $true) & (singletonsubset = $true) & (upairsubunion = $true) & (notsubsetI = $true) & (setunionsingleton2 = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (setukpairIL = $true) & (cartprodsndin = $true) & (exuI3 = $true) & (binunionIR = $true) & (powersetE1 = $true) & (setadjoinE = $true) & (setukpairinjR2 = $true) & (ubforcartprodlem3 = $true) & (setadjoinSub2 = $true) & (eqbreln = $true) & (funcext2 = $true) & (cartprodsndpairEq = $true) & (binunionT_lem = $true) & (iffalseProp1 = $true) & (notequalI2 = $true) & (noeltsimpempty = $true) & (singletonsuniq = $true) & (binunionIL = $true) & (setminusIRneg = $true) & (binintersectER = $true) & (binintersectSubset1 = $true) & (setminusELneg = $true) & (kpairiskpair = $true) & (singletoninpowunion = $true) & (setukpairinjR12 = $true) & (iftrueProp2 = $true) & (setunionsingleton1 = $true) & (emptyE1 = $true) & (setadjoinIL = $true) & (setadjoin__Cong = $true) & (setext = $true)),
% 1.39/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK502,sK503])],[f859,f1754])).
% 1.39/0.60 thf(f1754,plain,(
% 1.39/0.60 ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ((in @ (powerset @ X0) @ (powerset @ (powerset @ X1))) != $true)) => (((in @ sK502 @ (powerset @ sK503)) = $true) & ((in @ (powerset @ sK502) @ (powerset @ (powerset @ sK503))) != $true))),
% 1.39/0.60 introduced(choice_axiom,[])).
% 1.39/0.60 thf(f859,plain,(
% 1.39/0.60 (binintersectT_lem = $true) & (funcGraphProp2 = $true) & (dpsetconstrI = $true) & (binintersectSubset3 = $true) & (cartprodfstpairEq = $true) & (lam2p = $true) & (ex1I = $true) & (binintersectI = $true) & (emptysetsubset = $true) & (subset2powerset = $true) & (powersetI = $true) & (setukpairinjR11 = $true) & (subsetI2 = $true) & (disjointsetsI1 = $true) & (subbreln = $true) & (setukpairinjR = $true) & (setadjoinOr = $true) & (dsetconstr__Cong = $true) & (setextsub = $true) & (binunionRsub = $true) & (iftrueProp1 = $true) & (symdiffE = $true) & (funcGraphProp1 = $true) & (iftrueorfalse = $true) & (binintersectSubset4 = $true) & (cartprodpairmemEL = $true) & (infuncsetfunc = $true) & (secondinupair = $true) & (prop2set2propI = $true) & (binintersectEL = $true) & (upairset2IR = $true) & (powersetE = $true) & (setminusILneg = $true) & (setukpairinjL2 = $true) & (dpsetconstrSub = $true) & (inPowerset = $true) & (prop2setI = $true) & (cartprodpairin = $true) & (setbeta = $true) & (setukpairIR = $true) & (funcGraphProp3 = $true) & ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ((in @ (powerset @ X0) @ (powerset @ (powerset @ X1))) != $true)) & (in__Cong = $true) & (foundationAx = $true) & (quantDeMorgan2 = $true) & (setminusLsub = $true) & (upairset2E = $true) & (emptysetE = $true) & (setukpairinjL1 = $true) & (binintersectLsub = $true) & (ap2p = $true) & (omegaIndAx = $true) & (omega__Cong = $true) & (kfstpairEq = $true) & (singletoninpowerset = $true) & (cartprodmempair1 = $true) & (ex1E2 = $true) & (subsetemptysetimpeq = $true) & (dsetconstrI = $true) & (setminusSubset1 = $true) & (ifSingleton = $true) & (upairsetIL = $true) & (subsetE = $true) & (brelnall2 = $true) & (lamProp = $true) & (emptyI = $true) & (kpairsurjEq = $true) & (beta2 = $true) & (lamp = $true) & (nonemptyImpWitness = $true) & (setunion__Cong = $true) & (dpsetconstrEL2 = $true) & (iftrue = $true) & (setoftrueEq = $true) & (exuE2 = $true) & (emptysetimpfalse = $true) & (funcinfuncset = $true) & (setOfPairsIsBReln = $true) & (binunionLsub = $true) & (emptyinPowerset = $true) & (exuE1 = $true) & (apProp = $true) & (cartprodmempaircEq = $true) & (theeq = $true) & (cartprodfstin = $true) & (prop2setE = $true) & (emptyInPowerset = $true) & (notdexE = $true) & (app = $true) & (subsetE2 = $true) & (funcextLem = $true) & (replAx = $true) & (symdiffIneg2 = $true) & (descrp = $true) & (setextAx = $true) & (ifp = $true) & (setunionAx = $true) & (cartprodpairmemER = $true) & (quantDeMorgan1 = $true) & (omegaSAx = $true) & (upairequniteq = $true) & (binintersectRsub = $true) & (eta2 = $true) & (funcext = $true) & (kpairp = $true) & (symdiffI1 = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (descr__Cong = $true) & (inCongP = $true) & (subsetTrans = $true) & (setminusER = $true) & (kfstsingleton = $true) & (funcImageSingleton = $true) & (binintersectSubset2 = $true) & (notinsingleton = $true) & (binintersectSubset5 = $true) & (exuEu = $true) & (theprop = $true) & (ksndsingleton = $true) & (cartprodmempair = $true) & (singletonsswitch = $true) & (setminusI = $true) & (omega0Ax = $true) & (vacuousDall = $true) & (sepInPowerset = $true) & (binunionEcases = $true) & (ap2apEq1 = $true) & (eta1 = $true) & (ubforcartprodlem2 = $true) & (emptysetAx = $true) & (subsetRefl = $true) & (upairsetIR = $true) & (setminusEL = $true) & (dpsetconstrERa = $true) & (setminusERneg = $true) & (notdallE = $true) & (uniqinunit = $true) & (singletonprop = $true) & (bs114d = $true) & (notinemptyset = $true) & (setunionE = $true) & (sepSubset = $true) & (wellorderingAx = $true) & (ubforcartprodlem1 = $true) & (exuE3e = $true) & (binunionE = $true) & (powersetI1 = $true) & (nonemptyI = $true) & (cartprodpairsurjEq = $true) & (iffalse = $true) & (ap2apEq2 = $true) & (brelnall1 = $true) & (emptyset__Cong = $true) & (eqimpsubset2 = $true) & (nonemptyE1 = $true) & (dsetconstrEL = $true) & (dpsetconstrEL1 = $true) & (upairsetE = $true) & (eqinunit = $true) & (upairinpowunion = $true) & (emptyinunitempty = $true) & (subsetI1 = $true) & (iffalseProp2 = $true) & (setukpairinjL = $true) & (setukpairinjR1 = $true) & (ex1I2 = $true) & (eqimpsubset1 = $true) & (lam2lamEq = $true) & (setunionsingleton = $true) & (setunionE2 = $true) & (dsetconstrER = $true) & (exuI2 = $true) & (powersetAx = $true) & (setadjoinSub = $true) & (dpsetconstrER = $true) & (notequalI1 = $true) & (exuE3u = $true) & (ksndpairEq = $true) & (exuI1 = $true) & (exu__Cong = $true) & (funcGraphProp4 = $true) & (ex1E1 = $true) & (beta1 = $true) & (setadjoinAx = $true) & (quantDeMorgan3 = $true) & (nonemptyI1 = $true) & (quantDeMorgan4 = $true) & (symdiffI2 = $true) & (powerset__Cong = $true) & (subPowSU = $true) & (setadjoinIR = $true) & (singletonsubset = $true) & (upairsubunion = $true) & (notsubsetI = $true) & (setunionsingleton2 = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (setukpairIL = $true) & (cartprodsndin = $true) & (exuI3 = $true) & (binunionIR = $true) & (powersetE1 = $true) & (setadjoinE = $true) & (setukpairinjR2 = $true) & (ubforcartprodlem3 = $true) & (setadjoinSub2 = $true) & (eqbreln = $true) & (funcext2 = $true) & (cartprodsndpairEq = $true) & (binunionT_lem = $true) & (iffalseProp1 = $true) & (notequalI2 = $true) & (noeltsimpempty = $true) & (singletonsuniq = $true) & (binunionIL = $true) & (setminusIRneg = $true) & (binintersectER = $true) & (binintersectSubset1 = $true) & (setminusELneg = $true) & (kpairiskpair = $true) & (singletoninpowunion = $true) & (setukpairinjR12 = $true) & (iftrueProp2 = $true) & (setunionsingleton1 = $true) & (emptyE1 = $true) & (setadjoinIL = $true) & (setadjoin__Cong = $true) & (setext = $true)),
% 1.39/0.60 inference(flattening,[],[f858])).
% 1.39/0.60 thf(f858,plain,(
% 1.39/0.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ((in @ (powerset @ X0) @ (powerset @ (powerset @ X1))) != $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $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)),
% 1.39/0.60 inference(ennf_transformation,[],[f293])).
% 1.39/0.60 thf(f293,plain,(
% 1.39/0.60 ~((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) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ((in @ (powerset @ X0) @ (powerset @ (powerset @ X1))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.39/0.60 inference(fool_elimination,[],[f292])).
% 1.39/0.60 thf(f292,plain,(
% 1.39/0.60 ~(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 => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => (in @ (powerset @ X0) @ (powerset @ (powerset @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.39/0.60 inference(rectify,[],[f234])).
% 1.39/0.60 thf(f234,negated_conjecture,(
% 1.39/0.60 ~(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 => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => (in @ (powerset @ X11) @ (powerset @ (powerset @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.39/0.60 inference(negated_conjecture,[],[f233])).
% 1.39/0.60 thf(f233,conjecture,(
% 1.39/0.60 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 => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => (in @ (powerset @ X11) @ (powerset @ (powerset @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.39/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetT_lem)).
% 1.39/0.60 thf(f3414,plain,(
% 1.39/0.60 (powersetE1 != $true) | ((subset @ sK502 @ sK503) = $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3411])).
% 1.39/0.60 thf(f3411,plain,(
% 1.39/0.60 ($true != $true) | (powersetE1 != $true) | ((subset @ sK502 @ sK503) = $true)),
% 1.39/0.60 inference(superposition,[],[f2199,f2923])).
% 1.39/0.60 thf(f2923,plain,(
% 1.39/0.60 ((in @ sK502 @ (powerset @ sK503)) = $true)),
% 1.39/0.60 inference(cnf_transformation,[],[f1755])).
% 1.39/0.60 thf(f2199,plain,(
% 1.39/0.60 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ (powerset @ X1)) != $true) | ((subset @ X0 @ X1) = $true) | (powersetE1 != $true)) )),
% 1.39/0.60 inference(cnf_transformation,[],[f1143])).
% 1.39/0.60 thf(f1143,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ((subset @ X0 @ X1) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | (((in @ sK103 @ (powerset @ sK104)) = $true) & ((subset @ sK103 @ sK104) != $true)))),
% 1.39/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK103,sK104])],[f1141,f1142])).
% 1.39/0.60 thf(f1142,plain,(
% 1.39/0.60 ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) = $true) & ((subset @ X2 @ X3) != $true)) => (((in @ sK103 @ (powerset @ sK104)) = $true) & ((subset @ sK103 @ sK104) != $true))),
% 1.39/0.60 introduced(choice_axiom,[])).
% 1.39/0.60 thf(f1141,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ((subset @ X0 @ X1) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) = $true) & ((subset @ X2 @ X3) != $true)))),
% 1.39/0.60 inference(rectify,[],[f1140])).
% 1.39/0.60 thf(f1140,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ((subset @ X0 @ X1) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ((subset @ X0 @ X1) != $true)))),
% 1.39/0.60 inference(nnf_transformation,[],[f782])).
% 1.39/0.60 thf(f782,plain,(
% 1.39/0.60 ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ((subset @ X0 @ X1) = $true)) <=> (powersetE1 = $true)),
% 1.39/0.60 inference(ennf_transformation,[],[f281])).
% 1.39/0.60 thf(f281,plain,(
% 1.39/0.60 ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ((subset @ X0 @ X1) = $true)) <=> (powersetE1 = $true)),
% 1.39/0.60 inference(fool_elimination,[],[f280])).
% 1.39/0.60 thf(f280,plain,(
% 1.39/0.60 (powersetE1 = ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => (subset @ X0 @ X1)))),
% 1.39/0.60 inference(rectify,[],[f96])).
% 1.39/0.60 thf(f96,axiom,(
% 1.39/0.60 (powersetE1 = ! [X4,X3] : ((in @ X4 @ (powerset @ X3)) => (subset @ X4 @ X3)))),
% 1.39/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1)).
% 1.39/0.60 thf(f3490,plain,(
% 1.39/0.60 ((subset @ sK502 @ sK503) != $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3489])).
% 1.39/0.60 thf(f3489,plain,(
% 1.39/0.60 ((subset @ sK502 @ sK503) != $true) | ($true != $true)),
% 1.39/0.60 inference(forward_demodulation,[],[f3479,f2767])).
% 1.39/0.60 thf(f2767,plain,(
% 1.39/0.60 (powersetsubset = $true)),
% 1.39/0.60 inference(cnf_transformation,[],[f1755])).
% 1.39/0.60 thf(f3479,plain,(
% 1.39/0.60 (powersetsubset != $true) | ((subset @ sK502 @ sK503) != $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3473])).
% 1.39/0.60 thf(f3473,plain,(
% 1.39/0.60 (powersetsubset != $true) | ((subset @ sK502 @ sK503) != $true) | ($true != $true)),
% 1.39/0.60 inference(superposition,[],[f3453,f2148])).
% 1.39/0.60 thf(f2148,plain,(
% 1.39/0.60 ( ! [X2 : $i,X3 : $i] : (((subset @ (powerset @ X3) @ (powerset @ X2)) = $true) | ((subset @ X3 @ X2) != $true) | (powersetsubset != $true)) )),
% 1.39/0.60 inference(cnf_transformation,[],[f1088])).
% 1.39/0.60 thf(f1088,plain,(
% 1.39/0.60 ((powersetsubset = $true) | (((subset @ sK62 @ sK61) = $true) & ((subset @ (powerset @ sK62) @ (powerset @ sK61)) != $true))) & (! [X2,X3] : (((subset @ X3 @ X2) != $true) | ((subset @ (powerset @ X3) @ (powerset @ X2)) = $true)) | (powersetsubset != $true))),
% 1.39/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f1086,f1087])).
% 1.39/0.60 thf(f1087,plain,(
% 1.39/0.60 ? [X0,X1] : (((subset @ X1 @ X0) = $true) & ((subset @ (powerset @ X1) @ (powerset @ X0)) != $true)) => (((subset @ sK62 @ sK61) = $true) & ((subset @ (powerset @ sK62) @ (powerset @ sK61)) != $true))),
% 1.39/0.60 introduced(choice_axiom,[])).
% 1.39/0.60 thf(f1086,plain,(
% 1.39/0.60 ((powersetsubset = $true) | ? [X0,X1] : (((subset @ X1 @ X0) = $true) & ((subset @ (powerset @ X1) @ (powerset @ X0)) != $true))) & (! [X2,X3] : (((subset @ X3 @ X2) != $true) | ((subset @ (powerset @ X3) @ (powerset @ X2)) = $true)) | (powersetsubset != $true))),
% 1.39/0.60 inference(rectify,[],[f1085])).
% 1.39/0.60 thf(f1085,plain,(
% 1.39/0.60 ((powersetsubset = $true) | ? [X0,X1] : (((subset @ X1 @ X0) = $true) & ((subset @ (powerset @ X1) @ (powerset @ X0)) != $true))) & (! [X0,X1] : (((subset @ X1 @ X0) != $true) | ((subset @ (powerset @ X1) @ (powerset @ X0)) = $true)) | (powersetsubset != $true))),
% 1.39/0.60 inference(nnf_transformation,[],[f807])).
% 1.39/0.60 thf(f807,plain,(
% 1.39/0.60 (powersetsubset = $true) <=> ! [X0,X1] : (((subset @ X1 @ X0) != $true) | ((subset @ (powerset @ X1) @ (powerset @ X0)) = $true))),
% 1.39/0.60 inference(ennf_transformation,[],[f657])).
% 1.39/0.60 thf(f657,plain,(
% 1.39/0.60 (powersetsubset = $true) <=> ! [X0,X1] : (((subset @ X1 @ X0) = $true) => ((subset @ (powerset @ X1) @ (powerset @ X0)) = $true))),
% 1.39/0.60 inference(fool_elimination,[],[f656])).
% 1.39/0.60 thf(f656,plain,(
% 1.39/0.60 (powersetsubset = ! [X0,X1] : ((subset @ X1 @ X0) => (subset @ (powerset @ X1) @ (powerset @ X0))))),
% 1.39/0.60 inference(rectify,[],[f98])).
% 1.39/0.60 thf(f98,axiom,(
% 1.39/0.60 (powersetsubset = ! [X4,X3] : ((subset @ X3 @ X4) => (subset @ (powerset @ X3) @ (powerset @ X4))))),
% 1.39/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetsubset)).
% 1.39/0.60 thf(f3453,plain,(
% 1.39/0.60 ((subset @ (powerset @ sK502) @ (powerset @ sK503)) != $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3452])).
% 1.39/0.60 thf(f3452,plain,(
% 1.39/0.60 ($true != $true) | ((subset @ (powerset @ sK502) @ (powerset @ sK503)) != $true)),
% 1.39/0.60 inference(forward_demodulation,[],[f3448,f2955])).
% 1.39/0.60 thf(f2955,plain,(
% 1.39/0.60 (subset2powerset = $true)),
% 1.39/0.60 inference(cnf_transformation,[],[f1755])).
% 1.39/0.60 thf(f3448,plain,(
% 1.39/0.60 ((subset @ (powerset @ sK502) @ (powerset @ sK503)) != $true) | (subset2powerset != $true)),
% 1.39/0.60 inference(trivial_inequality_removal,[],[f3438])).
% 1.39/0.60 thf(f3438,plain,(
% 1.39/0.60 (subset2powerset != $true) | ((subset @ (powerset @ sK502) @ (powerset @ sK503)) != $true) | ($true != $true)),
% 1.39/0.60 inference(superposition,[],[f2922,f2483])).
% 1.39/0.60 thf(f2483,plain,(
% 1.39/0.60 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true) | (subset2powerset != $true)) )),
% 1.39/0.60 inference(cnf_transformation,[],[f1449])).
% 1.39/0.60 thf(f1449,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | (((in @ sK304 @ (powerset @ sK305)) != $true) & ((subset @ sK304 @ sK305) = $true)))),
% 1.39/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK304,sK305])],[f1447,f1448])).
% 1.39/0.60 thf(f1448,plain,(
% 1.39/0.60 ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) != $true) & ((subset @ X2 @ X3) = $true)) => (((in @ sK304 @ (powerset @ sK305)) != $true) & ((subset @ sK304 @ sK305) = $true))),
% 1.39/0.60 introduced(choice_axiom,[])).
% 1.39/0.60 thf(f1447,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) != $true) & ((subset @ X2 @ X3) = $true)))),
% 1.39/0.60 inference(rectify,[],[f1446])).
% 1.39/0.60 thf(f1446,plain,(
% 1.39/0.60 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) & ((subset @ X0 @ X1) = $true)))),
% 1.39/0.60 inference(nnf_transformation,[],[f806])).
% 1.39/0.60 thf(f806,plain,(
% 1.39/0.60 ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) <=> (subset2powerset = $true)),
% 1.39/0.60 inference(ennf_transformation,[],[f263])).
% 1.39/0.60 thf(f263,plain,(
% 1.39/0.60 (subset2powerset = $true) <=> ! [X0,X1] : (((subset @ X0 @ X1) = $true) => ((in @ X0 @ (powerset @ X1)) = $true))),
% 1.39/0.60 inference(fool_elimination,[],[f262])).
% 1.39/0.60 thf(f262,plain,(
% 1.39/0.60 (! [X0,X1] : ((subset @ X0 @ X1) => (in @ X0 @ (powerset @ X1))) = subset2powerset)),
% 1.39/0.60 inference(rectify,[],[f92])).
% 1.39/0.60 thf(f92,axiom,(
% 1.39/0.60 (! [X3,X4] : ((subset @ X3 @ X4) => (in @ X3 @ (powerset @ X4))) = subset2powerset)),
% 1.39/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2powerset)).
% 1.39/0.60 thf(f2922,plain,(
% 1.39/0.60 ((in @ (powerset @ sK502) @ (powerset @ (powerset @ sK503))) != $true)),
% 1.39/0.60 inference(cnf_transformation,[],[f1755])).
% 1.39/0.60 % SZS output end Proof for theBenchmark
% 1.39/0.60 % (596)------------------------------
% 1.39/0.60 % (596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.60 % (596)Termination reason: Refutation
% 1.39/0.60
% 1.39/0.60 % (596)Memory used [KB]: 9850
% 1.39/0.60 % (596)Time elapsed: 0.135 s
% 1.39/0.60 % (596)Instructions burned: 349 (million)
% 1.39/0.60 % (596)------------------------------
% 1.39/0.60 % (596)------------------------------
% 1.39/0.60 % (553)Success in time 0.225 s
% 1.39/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------