TSTP Solution File: SEU642^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU642^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 03:50:15 EDT 2024
% Result : Theorem 2.07s 0.65s
% Output : Refutation 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU642^1 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 15:38:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % (13748)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.42 % (13746)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.42 % (13747)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.42 % (13749)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.42 % (13751)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.42 % (13750)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.42 % (13752)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.42 % (13749)Instruction limit reached!
% 0.14/0.42 % (13749)------------------------------
% 0.14/0.42 % (13749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13749)Termination reason: Unknown
% 0.14/0.42 % (13749)Termination phase: shuffling
% 0.14/0.42 % (13753)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)
% 0.14/0.42
% 0.14/0.42 % (13749)Memory used [KB]: 1279
% 0.14/0.42 % (13749)Time elapsed: 0.004 s
% 0.14/0.42 % (13749)Instructions burned: 2 (million)
% 0.14/0.42 % (13749)------------------------------
% 0.14/0.42 % (13749)------------------------------
% 0.14/0.42 % (13750)Instruction limit reached!
% 0.14/0.42 % (13750)------------------------------
% 0.14/0.42 % (13750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13750)Termination reason: Unknown
% 0.14/0.42 % (13750)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (13750)Memory used [KB]: 1279
% 0.14/0.42 % (13750)Time elapsed: 0.005 s
% 0.14/0.42 % (13750)Instructions burned: 3 (million)
% 0.14/0.42 % (13750)------------------------------
% 0.14/0.42 % (13750)------------------------------
% 0.14/0.42 % (13747)Instruction limit reached!
% 0.14/0.42 % (13747)------------------------------
% 0.14/0.42 % (13747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13747)Termination reason: Unknown
% 0.14/0.42 % (13747)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (13747)Memory used [KB]: 1279
% 0.14/0.42 % (13747)Time elapsed: 0.006 s
% 0.14/0.42 % (13747)Instructions burned: 4 (million)
% 0.14/0.42 % (13747)------------------------------
% 0.14/0.42 % (13747)------------------------------
% 0.14/0.42 % (13753)Instruction limit reached!
% 0.14/0.42 % (13753)------------------------------
% 0.14/0.42 % (13753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13753)Termination reason: Unknown
% 0.14/0.42 % (13753)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (13753)Memory used [KB]: 1279
% 0.14/0.42 % (13753)Time elapsed: 0.005 s
% 0.14/0.42 % (13753)Instructions burned: 3 (million)
% 0.14/0.42 % (13753)------------------------------
% 0.14/0.42 % (13753)------------------------------
% 0.23/0.43 % (13748)Instruction limit reached!
% 0.23/0.43 % (13748)------------------------------
% 0.23/0.43 % (13748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (13748)Termination reason: Unknown
% 0.23/0.43 % (13748)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (13748)Memory used [KB]: 1791
% 0.23/0.43 % (13748)Time elapsed: 0.016 s
% 0.23/0.43 % (13748)Instructions burned: 28 (million)
% 0.23/0.43 % (13748)------------------------------
% 0.23/0.43 % (13748)------------------------------
% 0.23/0.43 % (13752)Instruction limit reached!
% 0.23/0.43 % (13752)------------------------------
% 0.23/0.43 % (13752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (13752)Termination reason: Unknown
% 0.23/0.43 % (13752)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (13752)Memory used [KB]: 1535
% 0.23/0.43 % (13752)Time elapsed: 0.019 s
% 0.23/0.43 % (13752)Instructions burned: 18 (million)
% 0.23/0.43 % (13752)------------------------------
% 0.23/0.43 % (13752)------------------------------
% 0.23/0.44 % (13757)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)
% 0.23/0.44 % (13755)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)
% 0.23/0.44 % (13754)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)
% 0.23/0.45 % (13756)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)
% 0.23/0.45 % (13756)Instruction limit reached!
% 0.23/0.45 % (13756)------------------------------
% 0.23/0.45 % (13756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (13756)Termination reason: Unknown
% 0.23/0.45 % (13756)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (13756)Memory used [KB]: 1279
% 0.23/0.45 % (13756)Time elapsed: 0.005 s
% 0.23/0.45 % (13756)Instructions burned: 4 (million)
% 0.23/0.45 % (13756)------------------------------
% 0.23/0.45 % (13756)------------------------------
% 0.23/0.45 % (13758)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.45 % (13759)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.45 % (13755)Instruction limit reached!
% 0.23/0.45 % (13755)------------------------------
% 0.23/0.45 % (13755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (13755)Termination reason: Unknown
% 0.23/0.45 % (13755)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (13755)Memory used [KB]: 1535
% 0.23/0.45 % (13755)Time elapsed: 0.011 s
% 0.23/0.45 % (13755)Instructions burned: 16 (million)
% 0.23/0.45 % (13755)------------------------------
% 0.23/0.45 % (13755)------------------------------
% 0.23/0.46 % (13758)Instruction limit reached!
% 0.23/0.46 % (13758)------------------------------
% 0.23/0.46 % (13758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (13758)Termination reason: Unknown
% 0.23/0.46 % (13758)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (13758)Memory used [KB]: 1407
% 0.23/0.46 % (13758)Time elapsed: 0.006 s
% 0.23/0.46 % (13758)Instructions burned: 7 (million)
% 0.23/0.46 % (13758)------------------------------
% 0.23/0.46 % (13758)------------------------------
% 0.23/0.46 % (13759)Instruction limit reached!
% 0.23/0.46 % (13759)------------------------------
% 0.23/0.46 % (13759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (13759)Termination reason: Unknown
% 0.23/0.46 % (13759)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (13759)Memory used [KB]: 1535
% 0.23/0.46 % (13759)Time elapsed: 0.010 s
% 0.23/0.46 % (13759)Instructions burned: 16 (million)
% 0.23/0.46 % (13759)------------------------------
% 0.23/0.46 % (13759)------------------------------
% 0.23/0.47 % (13754)Instruction limit reached!
% 0.23/0.47 % (13754)------------------------------
% 0.23/0.47 % (13754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13754)Termination reason: Unknown
% 0.23/0.47 % (13754)Termination phase: Property scanning
% 0.23/0.47
% 0.23/0.47 % (13754)Memory used [KB]: 1791
% 0.23/0.47 % (13754)Time elapsed: 0.024 s
% 0.23/0.47 % (13754)Instructions burned: 37 (million)
% 0.23/0.47 % (13754)------------------------------
% 0.23/0.47 % (13754)------------------------------
% 0.23/0.47 % (13760)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)
% 0.23/0.47 % (13760)Instruction limit reached!
% 0.23/0.47 % (13760)------------------------------
% 0.23/0.47 % (13760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13760)Termination reason: Unknown
% 0.23/0.47 % (13760)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (13760)Memory used [KB]: 1279
% 0.23/0.47 % (13760)Time elapsed: 0.003 s
% 0.23/0.47 % (13760)Instructions burned: 3 (million)
% 0.23/0.47 % (13760)------------------------------
% 0.23/0.47 % (13760)------------------------------
% 0.23/0.47 % (13761)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)
% 0.23/0.47 % (13761)Instruction limit reached!
% 0.23/0.47 % (13761)------------------------------
% 0.23/0.47 % (13761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13761)Termination reason: Unknown
% 0.23/0.47 % (13761)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (13761)Memory used [KB]: 1279
% 0.23/0.47 % (13761)Time elapsed: 0.004 s
% 0.23/0.47 % (13761)Instructions burned: 4 (million)
% 0.23/0.47 % (13761)------------------------------
% 0.23/0.47 % (13761)------------------------------
% 0.23/0.47 % (13762)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)
% 0.23/0.47 % (13762)Instruction limit reached!
% 0.23/0.47 % (13762)------------------------------
% 0.23/0.47 % (13762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13762)Termination reason: Unknown
% 0.23/0.47 % (13762)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (13762)Memory used [KB]: 1407
% 0.23/0.47 % (13762)Time elapsed: 0.006 s
% 0.23/0.47 % (13762)Instructions burned: 8 (million)
% 0.23/0.47 % (13762)------------------------------
% 0.23/0.47 % (13762)------------------------------
% 0.23/0.48 % (13763)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)
% 0.23/0.48 % (13763)Instruction limit reached!
% 0.23/0.48 % (13763)------------------------------
% 0.23/0.48 % (13763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (13763)Termination reason: Unknown
% 0.23/0.48 % (13763)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (13763)Memory used [KB]: 1279
% 0.23/0.48 % (13763)Time elapsed: 0.004 s
% 0.23/0.48 % (13763)Instructions burned: 4 (million)
% 0.23/0.48 % (13763)------------------------------
% 0.23/0.48 % (13763)------------------------------
% 0.23/0.48 % (13764)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.48 % (13765)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)
% 0.23/0.48 % (13764)Instruction limit reached!
% 0.23/0.48 % (13764)------------------------------
% 0.23/0.48 % (13764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (13764)Termination reason: Unknown
% 0.23/0.48 % (13764)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (13764)Memory used [KB]: 1279
% 0.23/0.48 % (13764)Time elapsed: 0.004 s
% 0.23/0.48 % (13764)Instructions burned: 4 (million)
% 0.23/0.48 % (13764)------------------------------
% 0.23/0.48 % (13764)------------------------------
% 0.23/0.48 % (13766)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.49 % (13767)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.49 % (13765)Instruction limit reached!
% 0.23/0.49 % (13765)------------------------------
% 0.23/0.49 % (13765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (13765)Termination reason: Unknown
% 0.23/0.49 % (13765)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (13765)Memory used [KB]: 1663
% 0.23/0.49 % (13765)Time elapsed: 0.011 s
% 0.23/0.49 % (13765)Instructions burned: 18 (million)
% 0.23/0.49 % (13765)------------------------------
% 0.23/0.49 % (13765)------------------------------
% 0.23/0.49 % (13768)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)
% 0.23/0.49 % (13767)Instruction limit reached!
% 0.23/0.49 % (13767)------------------------------
% 0.23/0.49 % (13767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (13767)Termination reason: Unknown
% 0.23/0.49 % (13767)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (13767)Memory used [KB]: 1407
% 0.23/0.49 % (13767)Time elapsed: 0.005 s
% 0.23/0.49 % (13767)Instructions burned: 6 (million)
% 0.23/0.49 % (13767)------------------------------
% 0.23/0.49 % (13767)------------------------------
% 0.23/0.50 % (13769)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 (2998ds/21Mi)
% 0.23/0.51 % (13770)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.51 % (13771)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 (2998ds/6Mi)
% 0.23/0.51 % (13769)Instruction limit reached!
% 0.23/0.51 % (13769)------------------------------
% 0.23/0.51 % (13769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (13769)Termination reason: Unknown
% 0.23/0.51 % (13769)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (13769)Memory used [KB]: 1663
% 0.23/0.51 % (13769)Time elapsed: 0.013 s
% 0.23/0.51 % (13769)Instructions burned: 22 (million)
% 0.23/0.51 % (13769)------------------------------
% 0.23/0.51 % (13769)------------------------------
% 0.23/0.51 % (13770)Instruction limit reached!
% 0.23/0.51 % (13770)------------------------------
% 0.23/0.51 % (13770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (13770)Termination reason: Unknown
% 0.23/0.51 % (13770)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (13770)Memory used [KB]: 1407
% 0.23/0.51 % (13770)Time elapsed: 0.005 s
% 0.23/0.51 % (13770)Instructions burned: 6 (million)
% 0.23/0.51 % (13770)------------------------------
% 0.23/0.51 % (13770)------------------------------
% 0.23/0.51 % (13771)Instruction limit reached!
% 0.23/0.51 % (13771)------------------------------
% 0.23/0.51 % (13771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (13771)Termination reason: Unknown
% 0.23/0.51 % (13771)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (13771)Memory used [KB]: 1279
% 0.23/0.51 % (13771)Time elapsed: 0.005 s
% 0.23/0.51 % (13771)Instructions burned: 6 (million)
% 0.23/0.51 % (13771)------------------------------
% 0.23/0.51 % (13771)------------------------------
% 0.23/0.52 % (13746)Instruction limit reached!
% 0.23/0.52 % (13746)------------------------------
% 0.23/0.52 % (13746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (13746)Termination reason: Unknown
% 0.23/0.52 % (13746)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (13746)Memory used [KB]: 7419
% 0.23/0.52 % (13746)Time elapsed: 0.104 s
% 0.23/0.52 % (13746)Instructions burned: 184 (million)
% 0.23/0.52 % (13746)------------------------------
% 0.23/0.52 % (13746)------------------------------
% 0.23/0.52 % (13772)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.52 % (13773)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)
% 0.23/0.52 % (13774)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)
% 0.23/0.53 % (13775)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)
% 0.23/0.53 % (13774)Instruction limit reached!
% 0.23/0.53 % (13774)------------------------------
% 0.23/0.53 % (13774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (13774)Termination reason: Unknown
% 0.23/0.53 % (13774)Termination phase: shuffling
% 0.23/0.53
% 0.23/0.53 % (13774)Memory used [KB]: 1663
% 0.23/0.53 % (13774)Time elapsed: 0.012 s
% 0.23/0.53 % (13774)Instructions burned: 21 (million)
% 0.23/0.53 % (13774)------------------------------
% 0.23/0.53 % (13774)------------------------------
% 0.23/0.55 % (13776)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.56 % (13776)Instruction limit reached!
% 0.23/0.56 % (13776)------------------------------
% 0.23/0.56 % (13776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.56 % (13776)Termination reason: Unknown
% 0.23/0.56 % (13776)Termination phase: shuffling
% 0.23/0.56
% 0.23/0.56 % (13776)Memory used [KB]: 1663
% 0.23/0.56 % (13776)Time elapsed: 0.011 s
% 0.23/0.56 % (13776)Instructions burned: 18 (million)
% 0.23/0.56 % (13776)------------------------------
% 0.23/0.56 % (13776)------------------------------
% 1.54/0.57 % (13777)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.54/0.58 % (13777)Instruction limit reached!
% 1.54/0.58 % (13777)------------------------------
% 1.54/0.58 % (13777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.58 % (13777)Termination reason: Unknown
% 1.54/0.58 % (13777)Termination phase: shuffling
% 1.54/0.58
% 1.54/0.58 % (13777)Memory used [KB]: 1279
% 1.54/0.58 % (13777)Time elapsed: 0.003 s
% 1.54/0.58 % (13777)Instructions burned: 3 (million)
% 1.54/0.58 % (13777)------------------------------
% 1.54/0.58 % (13777)------------------------------
% 1.54/0.59 % (13751)Instruction limit reached!
% 1.54/0.59 % (13751)------------------------------
% 1.54/0.59 % (13751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.59 % (13751)Termination reason: Unknown
% 1.54/0.59 % (13751)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (13751)Memory used [KB]: 8187
% 1.54/0.59 % (13751)Time elapsed: 0.173 s
% 1.54/0.59 % (13751)Instructions burned: 275 (million)
% 1.54/0.59 % (13751)------------------------------
% 1.54/0.59 % (13751)------------------------------
% 1.72/0.59 % (13778)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.72/0.60 % (13779)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 (2997ds/127Mi)
% 1.72/0.61 % (13778)Instruction limit reached!
% 1.72/0.61 % (13778)------------------------------
% 1.72/0.61 % (13778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.72/0.61 % (13778)Termination reason: Unknown
% 1.72/0.61 % (13778)Termination phase: Property scanning
% 1.72/0.61
% 1.72/0.61 % (13778)Memory used [KB]: 1791
% 1.72/0.61 % (13778)Time elapsed: 0.016 s
% 1.72/0.61 % (13778)Instructions burned: 30 (million)
% 1.72/0.61 % (13778)------------------------------
% 1.72/0.61 % (13778)------------------------------
% 1.72/0.62 % (13780)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 (2997ds/100Mi)
% 1.72/0.64 % (13768)First to succeed.
% 2.07/0.65 % (13768)Refutation found. Thanks to Tanya!
% 2.07/0.65 % SZS status Theorem for theBenchmark
% 2.07/0.65 % SZS output start Proof for theBenchmark
% 2.07/0.65 thf(func_def_0, type, in: $i > $i > $o).
% 2.07/0.65 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.07/0.65 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.07/0.65 thf(func_def_8, type, powerset: $i > $i).
% 2.07/0.65 thf(func_def_10, type, setunion: $i > $i).
% 2.07/0.65 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_26, type, prop2set: $o > $i).
% 2.07/0.65 thf(func_def_36, type, nonempty: $i > $o).
% 2.07/0.65 thf(func_def_69, type, set2prop: $i > $o).
% 2.07/0.65 thf(func_def_88, type, subset: $i > $i > $o).
% 2.07/0.65 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.07/0.65 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.07/0.65 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.07/0.65 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.07/0.65 thf(func_def_135, type, regular: $i > $o).
% 2.07/0.65 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.07/0.65 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.07/0.65 thf(func_def_153, type, iskpair: $i > $o).
% 2.07/0.65 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.07/0.65 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.07/0.65 thf(func_def_177, type, singleton: $i > $o).
% 2.07/0.65 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.07/0.65 thf(func_def_184, type, atmost1p: $i > $o).
% 2.07/0.65 thf(func_def_185, type, atleast2p: $i > $o).
% 2.07/0.65 thf(func_def_186, type, atmost2p: $i > $o).
% 2.07/0.65 thf(func_def_187, type, upairsetp: $i > $o).
% 2.07/0.65 thf(func_def_200, type, sP0: $i > $i > $o).
% 2.07/0.65 thf(func_def_201, type, sP1: $i > $o).
% 2.07/0.65 thf(func_def_202, type, sP2: $i > $i > $o).
% 2.07/0.65 thf(func_def_203, type, sP3: $i > $i > $o).
% 2.07/0.65 thf(func_def_205, type, sP5: $o > $i > $i > $i > $o).
% 2.07/0.65 thf(func_def_215, type, sK15: $i > $i > $i).
% 2.07/0.65 thf(func_def_216, type, sK16: $i > $i > $i).
% 2.07/0.65 thf(func_def_217, type, sK17: $i > $i > $i).
% 2.07/0.65 thf(func_def_218, type, sK18: $i > $i > $i).
% 2.07/0.65 thf(func_def_219, type, sK19: $i > $i > $i).
% 2.07/0.65 thf(func_def_220, type, sK20: $i > $i > $i > $i).
% 2.07/0.65 thf(func_def_221, type, sK21: $i > $i).
% 2.07/0.65 thf(func_def_222, type, sK22: $i > $i).
% 2.07/0.65 thf(func_def_223, type, sK23: $i > $i).
% 2.07/0.65 thf(func_def_224, type, sK24: $i > $i).
% 2.07/0.65 thf(func_def_225, type, sK25: $i > $i > $i).
% 2.07/0.65 thf(func_def_226, type, sK26: $i > $i > $i > $i).
% 2.07/0.65 thf(func_def_227, type, sK27: $i > $i > $i > $i).
% 2.07/0.65 thf(func_def_228, type, sK28: $i > $i > $i).
% 2.07/0.65 thf(func_def_229, type, sK29: $i > $i > $i).
% 2.07/0.65 thf(func_def_231, type, sK31: $i > $i).
% 2.07/0.65 thf(func_def_232, type, sK32: $i > $i).
% 2.07/0.65 thf(func_def_233, type, sK33: $i > $i).
% 2.07/0.65 thf(func_def_251, type, sK51: $i > $o).
% 2.07/0.65 thf(func_def_254, type, sK54: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_255, type, sK55: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_256, type, sK56: $i > $o).
% 2.07/0.65 thf(func_def_262, type, sK62: $i > $i > $i).
% 2.07/0.65 thf(func_def_282, type, sK82: $i > $i > $o).
% 2.07/0.65 thf(func_def_283, type, sK83: $i > $i).
% 2.07/0.65 thf(func_def_284, type, sK84: $i > $i).
% 2.07/0.65 thf(func_def_285, type, sK85: ($i > $i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_286, type, sK86: $i > ($i > $i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_287, type, sK87: ($i > $i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_290, type, sK90: $i > $i).
% 2.07/0.65 thf(func_def_295, type, sK95: $i > $i).
% 2.07/0.65 thf(func_def_297, type, sK97: $i > $i).
% 2.07/0.65 thf(func_def_304, type, sK104: $i > $i > $i).
% 2.07/0.65 thf(func_def_310, type, sK110: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_311, type, sK111: $i > $o).
% 2.07/0.65 thf(func_def_312, type, sK112: $i > $i).
% 2.07/0.65 thf(func_def_328, type, sK128: $i > $o).
% 2.07/0.65 thf(func_def_330, type, sK130: $i > $o).
% 2.07/0.65 thf(func_def_337, type, sK137: $i > $i > $i).
% 2.07/0.65 thf(func_def_356, type, sK156: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_358, type, sK158: $i > $o).
% 2.07/0.65 thf(func_def_360, type, sK160: $i > $o).
% 2.07/0.65 thf(func_def_361, type, sK161: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_367, type, sK167: $i > $o).
% 2.07/0.65 thf(func_def_377, type, sK177: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_379, type, sK179: $i > $o).
% 2.07/0.65 thf(func_def_381, type, sK181: ($i > $o) > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_382, type, sK182: ($i > $o) > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_383, type, sK183: $i > $o).
% 2.07/0.65 thf(func_def_384, type, sK184: $i > $o).
% 2.07/0.65 thf(func_def_387, type, sK187: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_388, type, sK188: $i > $o).
% 2.07/0.65 thf(func_def_393, type, sK193: $i > $i > $i > $i).
% 2.07/0.65 thf(func_def_394, type, sK194: $i > $i > $i > $i).
% 2.07/0.65 thf(func_def_396, type, sK196: $i > $o).
% 2.07/0.65 thf(func_def_400, type, sK200: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_401, type, sK201: $i > $o).
% 2.07/0.65 thf(func_def_402, type, sK202: $i > $i).
% 2.07/0.65 thf(func_def_411, type, sK211: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_412, type, sK212: $i > $o).
% 2.07/0.65 thf(func_def_420, type, sK220: $i > $o).
% 2.07/0.65 thf(func_def_421, type, sK221: $i > $o).
% 2.07/0.65 thf(func_def_424, type, sK224: $i > $i).
% 2.07/0.65 thf(func_def_427, type, sK227: $i > $o).
% 2.07/0.65 thf(func_def_436, type, sK236: $i > $i > $i).
% 2.07/0.65 thf(func_def_437, type, sK237: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_439, type, sK239: $i > $o).
% 2.07/0.65 thf(func_def_441, type, sK241: $i > $o).
% 2.07/0.65 thf(func_def_452, type, sK252: $i > $i).
% 2.07/0.65 thf(func_def_456, type, sK256: $i > $i).
% 2.07/0.65 thf(func_def_459, type, sK259: $i > $i > $i).
% 2.07/0.65 thf(func_def_464, type, sK264: $i > $o).
% 2.07/0.65 thf(func_def_479, type, sK279: $i > $i).
% 2.07/0.65 thf(func_def_480, type, sK280: $o > $i > $i > $i).
% 2.07/0.65 thf(func_def_493, type, sK293: $i > $i > $i).
% 2.07/0.65 thf(func_def_504, type, sK304: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_506, type, sK306: $i > $o).
% 2.07/0.65 thf(func_def_508, type, sK308: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_509, type, sK309: ($i > $o) > $i).
% 2.07/0.65 thf(func_def_510, type, sK310: $i > $o).
% 2.07/0.65 thf(func_def_519, type, sK319: $i > $i > $i).
% 2.07/0.65 thf(func_def_520, type, sK320: $i > $i > $i).
% 2.07/0.65 thf(func_def_542, type, sK342: $i > $o).
% 2.07/0.65 thf(func_def_545, type, sK345: $i > $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_553, type, sK353: $i > $i > $i).
% 2.07/0.65 thf(func_def_558, type, sK358: $i > $o).
% 2.07/0.65 thf(func_def_575, type, sK375: $i > $o).
% 2.07/0.65 thf(func_def_576, type, sK376: $i > $o).
% 2.07/0.65 thf(func_def_577, type, sK377: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.07/0.65 thf(func_def_578, type, sK378: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.07/0.65 thf(func_def_590, type, sK390: $i > $o).
% 2.07/0.65 thf(func_def_592, type, sK392: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_593, type, sK393: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_594, type, sK394: $i > $o).
% 2.07/0.65 thf(func_def_596, type, sK396: ($i > $o) > $i > $i).
% 2.07/0.65 thf(func_def_598, type, sK398: $i > $o).
% 2.07/0.65 thf(func_def_608, type, sK408: $i > $i > $i).
% 2.07/0.65 thf(func_def_611, type, sK411: ($i > $o) > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_612, type, sK412: ($i > $o) > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_613, type, sK413: $i > $o).
% 2.07/0.65 thf(func_def_614, type, sK414: $i > $o).
% 2.07/0.65 thf(func_def_619, type, sK419: $i > $o).
% 2.07/0.65 thf(func_def_640, type, sK440: $i > $o).
% 2.07/0.65 thf(func_def_643, type, sK443: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_644, type, sK444: $i > ($i > $o) > $i).
% 2.07/0.65 thf(func_def_646, type, ph446: !>[X0: $tType]:(X0)).
% 2.07/0.65 thf(f3885,plain,(
% 2.07/0.65 $false),
% 2.07/0.65 inference(avatar_sat_refutation,[],[f2378,f3571,f3770,f3884])).
% 2.07/0.65 thf(f3884,plain,(
% 2.07/0.65 spl445_20 | ~spl445_3),
% 2.07/0.65 inference(avatar_split_clause,[],[f3883,f2366,f3158])).
% 2.07/0.65 thf(f3158,plain,(
% 2.07/0.65 spl445_20 <=> (sK248 = sK247)),
% 2.07/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_20])])).
% 2.07/0.65 thf(f2366,plain,(
% 2.07/0.65 spl445_3 <=> ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset))),
% 2.07/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_3])])).
% 2.07/0.65 thf(f3883,plain,(
% 2.07/0.65 (sK248 = sK247) | ~spl445_3),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3882])).
% 2.07/0.65 thf(f3882,plain,(
% 2.07/0.65 (sK248 = sK247) | ($true != $true) | ~spl445_3),
% 2.07/0.65 inference(forward_demodulation,[],[f3858,f1932])).
% 2.07/0.65 thf(f1932,plain,(
% 2.07/0.65 (uniqinunit = $true)),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f1111,plain,(
% 2.07/0.65 (singletoninpowunion = $true) & (cartprodmempair = $true) & (setukpairIR = $true) & (omegaSAx = $true) & (setadjoinSub = $true) & (setminusI = $true) & (uniqinunit = $true) & (ex1E1 = $true) & (exuEu = $true) & (subsetemptysetimpeq = $true) & (emptyE1 = $true) & (exu__Cong = $true) & (symdiffIneg2 = $true) & (($true = (in @ (setadjoin @ sK248 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) @ emptyset)))) & (sK248 != sK247)) & (subset2powerset = $true) & (subsetTrans = $true) & (powersetE = $true) & (cartprodpairin = $true) & (notinemptyset = $true) & (emptyinPowerset = $true) & (powersetI1 = $true) & (binintersectEL = $true) & (inCongP = $true) & (setunionI = $true) & (eqimpsubset1 = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (upairsubunion = $true) & (singletonsubset = $true) & (emptyInPowerset = $true) & (subsetE = $true) & (binunionIR = $true) & (setunionAx = $true) & (dsetconstr__Cong = $true) & (symdiffIneg1 = $true) & (binintersectSubset1 = $true) & (singletonprop = $true) & (descr__Cong = $true) & (nonemptyI = $true) & (inPowerset = $true) & (setunionsingleton2 = $true) & (setadjoin__Cong = $true) & (exuI2 = $true) & (exuE2 = $true) & (setextsub = $true) & (prop2setE = $true) & (setminusIRneg = $true) & (ubforcartprodlem3 = $true) & (powersetI = $true) & (cartprodmempair1 = $true) & (setminusLsub = $true) & (sepSubset = $true) & (setadjoinIR = $true) & (kpairiskpair = $true) & (wellorderingAx = $true) & (binintersectLsub = $true) & (setadjoinAx = $true) & (setunionE2 = $true) & (binintersectSubset2 = $true) & (setunionsingleton = $true) & (emptyI = $true) & (emptysetsubset = $true) & (upairinpowunion = $true) & (prop2setI = $true) & (omega__Cong = $true) & (setminusERneg = $true) & (setextAx = $true) & (binintersectER = $true) & (emptyset__Cong = $true) & (notequalI2 = $true) & (vacuousDall = $true) & (subsetI2 = $true) & (secondinupair = $true) & (eqinunit = $true) & (binunionE = $true) & (emptyinunitempty = $true) & (upairsetE = $true) & (descrp = $true) & (noeltsimpempty = $true) & (omegaIndAx = $true) & (nonemptyImpWitness = $true) & (emptysetE = $true) & (powersetsubset = $true) & (ex1I2 = $true) & (singletonsswitch = $true) & (subsetI1 = $true) & (setoftrueEq = $true) & (symdiffI1 = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setminusSubset2 = $true) & (omega0Ax = $true) & (setminusEL = $true) & (setunionE = $true) & (in__Cong = $true) & (subsetRefl = $true) & (subPowSU = $true) & (emptysetimpfalse = $true) & (exuI3 = $true) & (binintersectRsub = $true) & (setadjoinOr = $true) & (nonemptyE1 = $true) & (setext = $true) & (binunionLsub = $true) & (binintersectSubset5 = $true) & (binunionIL = $true) & (ubforcartprodlem2 = $true) & (kpairp = $true) & (bs114d = $true) & (upairset2E = $true) & (prop2set2propI = $true) & (symdiffI2 = $true) & (setminusSubset1 = $true) & (upairsetIR = $true) & (binunionEcases = $true) & (binintersectI = $true) & (powersetE1 = $true) & (symdiffE = $true) & (setminusILneg = $true) & (exuE1 = $true) & (setbeta = $true) & (setminusELneg = $true) & (emptysetAx = $true) & (setadjoinE = $true) & (foundationAx = $true) & (notsubsetI = $true) & (binintersectSubset3 = $true) & (notinsingleton = $true) & (singletoninpowerset = $true) & (binunionRsub = $true) & (nonemptyI1 = $true) & (setminusER = $true) & (dsetconstrEL = $true) & (sepInPowerset = $true) & (notdexE = $true) & (ubforcartprodlem1 = $true) & (quantDeMorgan3 = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (eqimpsubset2 = $true) & (replAx = $true) & (disjointsetsI1 = $true) & (binintersectSubset4 = $true) & (notdallE = $true) & (setukpairIL = $true) & (setadjoinSub2 = $true) & (quantDeMorgan4 = $true) & (ex1I = $true) & (subsetE2 = $true) & (setunionsingleton1 = $true) & (setadjoinIL = $true) & (notequalI1 = $true) & (upairset2IR = $true) & (singletonsuniq = $true) & (exuI1 = $true) & (exuE3e = $true) & (dsetconstrI = $true) & (exuE3u = $true)),
% 2.07/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK247,sK248,sK249])],[f637,f1110])).
% 2.07/0.65 thf(f1110,plain,(
% 2.07/0.65 ? [X0,X1,X2] : (($true = (in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) & (X0 != X1)) => (($true = (in @ (setadjoin @ sK248 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) @ emptyset)))) & (sK248 != sK247))),
% 2.07/0.65 introduced(choice_axiom,[])).
% 2.07/0.65 thf(f637,plain,(
% 2.07/0.65 (singletoninpowunion = $true) & (cartprodmempair = $true) & (setukpairIR = $true) & (omegaSAx = $true) & (setadjoinSub = $true) & (setminusI = $true) & (uniqinunit = $true) & (ex1E1 = $true) & (exuEu = $true) & (subsetemptysetimpeq = $true) & (emptyE1 = $true) & (exu__Cong = $true) & (symdiffIneg2 = $true) & ? [X0,X1,X2] : (($true = (in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) & (X0 != X1)) & (subset2powerset = $true) & (subsetTrans = $true) & (powersetE = $true) & (cartprodpairin = $true) & (notinemptyset = $true) & (emptyinPowerset = $true) & (powersetI1 = $true) & (binintersectEL = $true) & (inCongP = $true) & (setunionI = $true) & (eqimpsubset1 = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (upairsubunion = $true) & (singletonsubset = $true) & (emptyInPowerset = $true) & (subsetE = $true) & (binunionIR = $true) & (setunionAx = $true) & (dsetconstr__Cong = $true) & (symdiffIneg1 = $true) & (binintersectSubset1 = $true) & (singletonprop = $true) & (descr__Cong = $true) & (nonemptyI = $true) & (inPowerset = $true) & (setunionsingleton2 = $true) & (setadjoin__Cong = $true) & (exuI2 = $true) & (exuE2 = $true) & (setextsub = $true) & (prop2setE = $true) & (setminusIRneg = $true) & (ubforcartprodlem3 = $true) & (powersetI = $true) & (cartprodmempair1 = $true) & (setminusLsub = $true) & (sepSubset = $true) & (setadjoinIR = $true) & (kpairiskpair = $true) & (wellorderingAx = $true) & (binintersectLsub = $true) & (setadjoinAx = $true) & (setunionE2 = $true) & (binintersectSubset2 = $true) & (setunionsingleton = $true) & (emptyI = $true) & (emptysetsubset = $true) & (upairinpowunion = $true) & (prop2setI = $true) & (omega__Cong = $true) & (setminusERneg = $true) & (setextAx = $true) & (binintersectER = $true) & (emptyset__Cong = $true) & (notequalI2 = $true) & (vacuousDall = $true) & (subsetI2 = $true) & (secondinupair = $true) & (eqinunit = $true) & (binunionE = $true) & (emptyinunitempty = $true) & (upairsetE = $true) & (descrp = $true) & (noeltsimpempty = $true) & (omegaIndAx = $true) & (nonemptyImpWitness = $true) & (emptysetE = $true) & (powersetsubset = $true) & (ex1I2 = $true) & (singletonsswitch = $true) & (subsetI1 = $true) & (setoftrueEq = $true) & (symdiffI1 = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setminusSubset2 = $true) & (omega0Ax = $true) & (setminusEL = $true) & (setunionE = $true) & (in__Cong = $true) & (subsetRefl = $true) & (subPowSU = $true) & (emptysetimpfalse = $true) & (exuI3 = $true) & (binintersectRsub = $true) & (setadjoinOr = $true) & (nonemptyE1 = $true) & (setext = $true) & (binunionLsub = $true) & (binintersectSubset5 = $true) & (binunionIL = $true) & (ubforcartprodlem2 = $true) & (kpairp = $true) & (bs114d = $true) & (upairset2E = $true) & (prop2set2propI = $true) & (symdiffI2 = $true) & (setminusSubset1 = $true) & (upairsetIR = $true) & (binunionEcases = $true) & (binintersectI = $true) & (powersetE1 = $true) & (symdiffE = $true) & (setminusILneg = $true) & (exuE1 = $true) & (setbeta = $true) & (setminusELneg = $true) & (emptysetAx = $true) & (setadjoinE = $true) & (foundationAx = $true) & (notsubsetI = $true) & (binintersectSubset3 = $true) & (notinsingleton = $true) & (singletoninpowerset = $true) & (binunionRsub = $true) & (nonemptyI1 = $true) & (setminusER = $true) & (dsetconstrEL = $true) & (sepInPowerset = $true) & (notdexE = $true) & (ubforcartprodlem1 = $true) & (quantDeMorgan3 = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (eqimpsubset2 = $true) & (replAx = $true) & (disjointsetsI1 = $true) & (binintersectSubset4 = $true) & (notdallE = $true) & (setukpairIL = $true) & (setadjoinSub2 = $true) & (quantDeMorgan4 = $true) & (ex1I = $true) & (subsetE2 = $true) & (setunionsingleton1 = $true) & (setadjoinIL = $true) & (notequalI1 = $true) & (upairset2IR = $true) & (singletonsuniq = $true) & (exuI1 = $true) & (exuE3e = $true) & (dsetconstrI = $true) & (exuE3u = $true)),
% 2.07/0.65 inference(flattening,[],[f636])).
% 2.07/0.65 thf(f636,plain,(
% 2.07/0.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (($true = (in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) & (X0 != X1)) & (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)),
% 2.07/0.65 inference(ennf_transformation,[],[f248])).
% 2.07/0.65 thf(f248,plain,(
% 2.07/0.65 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) => (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.07/0.65 inference(fool_elimination,[],[f247])).
% 2.07/0.65 thf(f247,plain,(
% 2.07/0.65 ~(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 => ! [X0,X1,X2] : ((in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.07/0.65 inference(rectify,[],[f166])).
% 2.07/0.65 thf(f166,negated_conjecture,(
% 2.07/0.65 ~(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 => ! [X1,X8,X2] : ((in @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X1 = X8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.07/0.65 inference(negated_conjecture,[],[f165])).
% 2.07/0.65 thf(f165,conjecture,(
% 2.07/0.65 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 => ! [X1,X8,X2] : ((in @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X1 = X8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.07/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjL1)).
% 2.07/0.65 thf(f3858,plain,(
% 2.07/0.65 (sK248 = sK247) | (uniqinunit != $true) | ~spl445_3),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3853])).
% 2.07/0.65 thf(f3853,plain,(
% 2.07/0.65 (sK248 = sK247) | ($true != $true) | (uniqinunit != $true) | ~spl445_3),
% 2.07/0.65 inference(superposition,[],[f1735,f3807])).
% 2.07/0.65 thf(f3807,plain,(
% 2.07/0.65 ((in @ sK247 @ (setadjoin @ sK248 @ emptyset)) = $true) | ~spl445_3),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3806])).
% 2.07/0.65 thf(f3806,plain,(
% 2.07/0.65 ($true != $true) | ((in @ sK247 @ (setadjoin @ sK248 @ emptyset)) = $true) | ~spl445_3),
% 2.07/0.65 inference(forward_demodulation,[],[f3780,f1912])).
% 2.07/0.65 thf(f1912,plain,(
% 2.07/0.65 (upairsetIL = $true)),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f3780,plain,(
% 2.07/0.65 ((in @ sK247 @ (setadjoin @ sK248 @ emptyset)) = $true) | (upairsetIL != $true) | ~spl445_3),
% 2.07/0.65 inference(superposition,[],[f2033,f2368])).
% 2.07/0.65 thf(f2368,plain,(
% 2.07/0.65 ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset)) | ~spl445_3),
% 2.07/0.65 inference(avatar_component_clause,[],[f2366])).
% 2.07/0.65 thf(f2033,plain,(
% 2.07/0.65 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X3 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIL != $true)) )),
% 2.07/0.65 inference(cnf_transformation,[],[f1223])).
% 2.07/0.65 thf(f1223,plain,(
% 2.07/0.65 ((upairsetIL = $true) | ($true != (in @ sK313 @ (setadjoin @ sK313 @ (setadjoin @ sK312 @ emptyset))))) & (! [X2,X3] : ($true = (in @ X3 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIL != $true))),
% 2.07/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK312,sK313])],[f1221,f1222])).
% 2.07/0.65 thf(f1222,plain,(
% 2.07/0.65 ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) => ($true != (in @ sK313 @ (setadjoin @ sK313 @ (setadjoin @ sK312 @ emptyset))))),
% 2.07/0.65 introduced(choice_axiom,[])).
% 2.07/0.65 thf(f1221,plain,(
% 2.07/0.65 ((upairsetIL = $true) | ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X2,X3] : ($true = (in @ X3 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIL != $true))),
% 2.07/0.65 inference(rectify,[],[f1220])).
% 2.07/0.65 thf(f1220,plain,(
% 2.07/0.65 ((upairsetIL = $true) | ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) | (upairsetIL != $true))),
% 2.07/0.65 inference(nnf_transformation,[],[f445])).
% 2.07/0.65 thf(f445,plain,(
% 2.07/0.65 (upairsetIL = $true) <=> ! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 2.07/0.65 inference(fool_elimination,[],[f444])).
% 2.07/0.65 thf(f444,plain,(
% 2.07/0.65 (! [X0,X1] : (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = upairsetIL)),
% 2.07/0.65 inference(rectify,[],[f51])).
% 2.07/0.65 thf(f51,axiom,(
% 2.07/0.65 (! [X2,X1] : (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) = upairsetIL)),
% 2.07/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL)).
% 2.07/0.65 thf(f1735,plain,(
% 2.07/0.65 ( ! [X2 : $i,X3 : $i] : (($true != (in @ X3 @ (setadjoin @ X2 @ emptyset))) | (uniqinunit != $true) | (X2 = X3)) )),
% 2.07/0.65 inference(cnf_transformation,[],[f1061])).
% 2.07/0.65 thf(f1061,plain,(
% 2.07/0.65 ((uniqinunit = $true) | (($true = (in @ sK217 @ (setadjoin @ sK216 @ emptyset))) & (sK216 != sK217))) & (! [X2,X3] : (($true != (in @ X3 @ (setadjoin @ X2 @ emptyset))) | (X2 = X3)) | (uniqinunit != $true))),
% 2.07/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK216,sK217])],[f1059,f1060])).
% 2.07/0.65 thf(f1060,plain,(
% 2.07/0.65 ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1)) => (($true = (in @ sK217 @ (setadjoin @ sK216 @ emptyset))) & (sK216 != sK217))),
% 2.07/0.65 introduced(choice_axiom,[])).
% 2.07/0.65 thf(f1059,plain,(
% 2.07/0.65 ((uniqinunit = $true) | ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1))) & (! [X2,X3] : (($true != (in @ X3 @ (setadjoin @ X2 @ emptyset))) | (X2 = X3)) | (uniqinunit != $true))),
% 2.07/0.65 inference(rectify,[],[f1058])).
% 2.07/0.65 thf(f1058,plain,(
% 2.07/0.65 ((uniqinunit = $true) | ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1))) & (! [X0,X1] : (($true != (in @ X1 @ (setadjoin @ X0 @ emptyset))) | (X0 = X1)) | (uniqinunit != $true))),
% 2.07/0.65 inference(nnf_transformation,[],[f543])).
% 2.07/0.65 thf(f543,plain,(
% 2.07/0.65 (uniqinunit = $true) <=> ! [X0,X1] : (($true != (in @ X1 @ (setadjoin @ X0 @ emptyset))) | (X0 = X1))),
% 2.07/0.65 inference(ennf_transformation,[],[f346])).
% 2.07/0.65 thf(f346,plain,(
% 2.07/0.65 ! [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) => (X0 = X1)) <=> (uniqinunit = $true)),
% 2.07/0.65 inference(fool_elimination,[],[f345])).
% 2.07/0.65 thf(f345,plain,(
% 2.07/0.65 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X0 @ emptyset)) => (X0 = X1)) = uniqinunit)),
% 2.07/0.65 inference(rectify,[],[f46])).
% 2.07/0.65 thf(f46,axiom,(
% 2.07/0.65 (! [X2,X1] : ((in @ X1 @ (setadjoin @ X2 @ emptyset)) => (X1 = X2)) = uniqinunit)),
% 2.07/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit)).
% 2.07/0.65 thf(f3770,plain,(
% 2.07/0.65 ~spl445_20),
% 2.07/0.65 inference(avatar_contradiction_clause,[],[f3769])).
% 2.07/0.65 thf(f3769,plain,(
% 2.07/0.65 $false | ~spl445_20),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3768])).
% 2.07/0.65 thf(f3768,plain,(
% 2.07/0.65 (sK247 != sK247) | ~spl445_20),
% 2.07/0.65 inference(superposition,[],[f1924,f3160])).
% 2.07/0.65 thf(f3160,plain,(
% 2.07/0.65 (sK248 = sK247) | ~spl445_20),
% 2.07/0.65 inference(avatar_component_clause,[],[f3158])).
% 2.07/0.65 thf(f1924,plain,(
% 2.07/0.65 (sK248 != sK247)),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f3571,plain,(
% 2.07/0.65 spl445_20 | ~spl445_2),
% 2.07/0.65 inference(avatar_split_clause,[],[f3570,f2359,f3158])).
% 2.07/0.65 thf(f2359,plain,(
% 2.07/0.65 spl445_2 <=> ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset))),
% 2.07/0.65 introduced(avatar_definition,[new_symbols(naming,[spl445_2])])).
% 2.07/0.65 thf(f3570,plain,(
% 2.07/0.65 (sK248 = sK247) | ~spl445_2),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3569])).
% 2.07/0.65 thf(f3569,plain,(
% 2.07/0.65 (sK248 = sK247) | ($true != $true) | ~spl445_2),
% 2.07/0.65 inference(forward_demodulation,[],[f3316,f1864])).
% 2.07/0.65 thf(f1864,plain,(
% 2.07/0.65 (eqinunit = $true)),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f3316,plain,(
% 2.07/0.65 (eqinunit != $true) | (sK248 = sK247) | ~spl445_2),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f3250])).
% 2.07/0.65 thf(f3250,plain,(
% 2.07/0.65 (eqinunit != $true) | ($true != $true) | (sK248 = sK247) | ~spl445_2),
% 2.07/0.65 inference(superposition,[],[f2441,f2229])).
% 2.07/0.65 thf(f2229,plain,(
% 2.07/0.65 ( ! [X1 : $i] : (($true = (in @ X1 @ (setadjoin @ X1 @ emptyset))) | (eqinunit != $true)) )),
% 2.07/0.65 inference(equality_resolution,[],[f1504])).
% 2.07/0.65 thf(f1504,plain,(
% 2.07/0.65 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setadjoin @ X1 @ emptyset))) | (X0 != X1) | (eqinunit != $true)) )),
% 2.07/0.65 inference(cnf_transformation,[],[f765])).
% 2.07/0.65 thf(f765,plain,(
% 2.07/0.65 (! [X0,X1] : (($true = (in @ X0 @ (setadjoin @ X1 @ emptyset))) | (X0 != X1)) | (eqinunit != $true)) & ((eqinunit = $true) | (($true != (in @ sK43 @ (setadjoin @ sK44 @ emptyset))) & (sK44 = sK43)))),
% 2.07/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f763,f764])).
% 2.07/0.65 thf(f764,plain,(
% 2.07/0.65 ? [X2,X3] : (($true != (in @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 = X3)) => (($true != (in @ sK43 @ (setadjoin @ sK44 @ emptyset))) & (sK44 = sK43))),
% 2.07/0.65 introduced(choice_axiom,[])).
% 2.07/0.65 thf(f763,plain,(
% 2.07/0.65 (! [X0,X1] : (($true = (in @ X0 @ (setadjoin @ X1 @ emptyset))) | (X0 != X1)) | (eqinunit != $true)) & ((eqinunit = $true) | ? [X2,X3] : (($true != (in @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 = X3)))),
% 2.07/0.65 inference(rectify,[],[f762])).
% 2.07/0.65 thf(f762,plain,(
% 2.07/0.65 (! [X0,X1] : (($true = (in @ X0 @ (setadjoin @ X1 @ emptyset))) | (X0 != X1)) | (eqinunit != $true)) & ((eqinunit = $true) | ? [X0,X1] : (($true != (in @ X0 @ (setadjoin @ X1 @ emptyset))) & (X0 = X1)))),
% 2.07/0.65 inference(nnf_transformation,[],[f667])).
% 2.07/0.65 thf(f667,plain,(
% 2.07/0.65 ! [X0,X1] : (($true = (in @ X0 @ (setadjoin @ X1 @ emptyset))) | (X0 != X1)) <=> (eqinunit = $true)),
% 2.07/0.65 inference(ennf_transformation,[],[f326])).
% 2.07/0.65 thf(f326,plain,(
% 2.07/0.65 ! [X0,X1] : ((X0 = X1) => ($true = (in @ X0 @ (setadjoin @ X1 @ emptyset)))) <=> (eqinunit = $true)),
% 2.07/0.65 inference(fool_elimination,[],[f325])).
% 2.07/0.65 thf(f325,plain,(
% 2.07/0.65 (eqinunit = ! [X0,X1] : ((X0 = X1) => (in @ X0 @ (setadjoin @ X1 @ emptyset))))),
% 2.07/0.65 inference(rectify,[],[f48])).
% 2.07/0.65 thf(f48,axiom,(
% 2.07/0.65 (eqinunit = ! [X1,X2] : ((X1 = X2) => (in @ X1 @ (setadjoin @ X2 @ emptyset))))),
% 2.07/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit)).
% 2.07/0.65 thf(f2441,plain,(
% 2.07/0.65 ( ! [X0 : $i] : (($true != (in @ X0 @ (setadjoin @ sK247 @ emptyset))) | (sK248 = X0)) ) | ~spl445_2),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f2440])).
% 2.07/0.65 thf(f2440,plain,(
% 2.07/0.65 ( ! [X0 : $i] : (($true != $true) | (sK248 = X0) | ($true != (in @ X0 @ (setadjoin @ sK247 @ emptyset)))) ) | ~spl445_2),
% 2.07/0.65 inference(forward_demodulation,[],[f2394,f1932])).
% 2.07/0.65 thf(f2394,plain,(
% 2.07/0.65 ( ! [X0 : $i] : (($true != (in @ X0 @ (setadjoin @ sK247 @ emptyset))) | (sK248 = X0) | (uniqinunit != $true)) ) | ~spl445_2),
% 2.07/0.65 inference(superposition,[],[f1735,f2361])).
% 2.07/0.65 thf(f2361,plain,(
% 2.07/0.65 ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset)) | ~spl445_2),
% 2.07/0.65 inference(avatar_component_clause,[],[f2359])).
% 2.07/0.65 thf(f2378,plain,(
% 2.07/0.65 spl445_3 | spl445_2),
% 2.07/0.65 inference(avatar_split_clause,[],[f2377,f2359,f2366])).
% 2.07/0.65 thf(f2377,plain,(
% 2.07/0.65 ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset)) | ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset))),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f2376])).
% 2.07/0.65 thf(f2376,plain,(
% 2.07/0.65 ($true != $true) | ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset)) | ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset))),
% 2.07/0.65 inference(forward_demodulation,[],[f2348,f1827])).
% 2.07/0.65 thf(f1827,plain,(
% 2.07/0.65 (upairset2E = $true)),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f2348,plain,(
% 2.07/0.65 (upairset2E != $true) | ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset)) | ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset))),
% 2.07/0.65 inference(trivial_inequality_removal,[],[f2340])).
% 2.07/0.65 thf(f2340,plain,(
% 2.07/0.65 (upairset2E != $true) | ((setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) = (setadjoin @ sK248 @ emptyset)) | ((setadjoin @ sK247 @ emptyset) = (setadjoin @ sK248 @ emptyset)) | ($true != $true)),
% 2.07/0.65 inference(superposition,[],[f2123,f1925])).
% 2.07/0.65 thf(f1925,plain,(
% 2.07/0.65 ($true = (in @ (setadjoin @ sK248 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ emptyset) @ (setadjoin @ (setadjoin @ sK247 @ (setadjoin @ sK249 @ emptyset)) @ emptyset))))),
% 2.07/0.65 inference(cnf_transformation,[],[f1111])).
% 2.07/0.65 thf(f2123,plain,(
% 2.07/0.65 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X3 @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X5) | (upairset2E != $true) | (X3 = X4)) )),
% 2.07/0.65 inference(cnf_transformation,[],[f1331])).
% 2.07/0.65 thf(f1331,plain,(
% 2.07/0.65 ((upairset2E = $true) | (((in @ sK379 @ (setadjoin @ sK381 @ (setadjoin @ sK380 @ emptyset))) = $true) & (sK380 != sK379) & (sK379 != sK381))) & (! [X3,X4,X5] : (($true != (in @ X3 @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X4) | (X3 = X5)) | (upairset2E != $true))),
% 2.07/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK379,sK380,sK381])],[f1329,f1330])).
% 2.07/0.65 thf(f1330,plain,(
% 2.07/0.65 ? [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) & (X0 != X1) & (X0 != X2)) => (((in @ sK379 @ (setadjoin @ sK381 @ (setadjoin @ sK380 @ emptyset))) = $true) & (sK380 != sK379) & (sK379 != sK381))),
% 2.07/0.65 introduced(choice_axiom,[])).
% 2.07/0.65 thf(f1329,plain,(
% 2.07/0.65 ((upairset2E = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) & (X0 != X1) & (X0 != X2))) & (! [X3,X4,X5] : (($true != (in @ X3 @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)))) | (X3 = X4) | (X3 = X5)) | (upairset2E != $true))),
% 2.07/0.65 inference(rectify,[],[f1328])).
% 2.07/0.65 thf(f1328,plain,(
% 2.07/0.65 ((upairset2E = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) & (X0 != X1) & (X0 != X2))) & (! [X0,X1,X2] : (($true != (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) | (X0 = X1) | (X0 = X2)) | (upairset2E != $true))),
% 2.07/0.65 inference(nnf_transformation,[],[f641])).
% 2.07/0.65 thf(f641,plain,(
% 2.07/0.65 (upairset2E = $true) <=> ! [X0,X1,X2] : (($true != (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) | (X0 = X1) | (X0 = X2))),
% 2.07/0.65 inference(flattening,[],[f640])).
% 2.07/0.65 thf(f640,plain,(
% 2.07/0.65 ! [X0,X1,X2] : (((X0 = X1) | (X0 = X2)) | ($true != (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))))) <=> (upairset2E = $true)),
% 2.07/0.65 inference(ennf_transformation,[],[f483])).
% 2.07/0.65 thf(f483,plain,(
% 2.07/0.65 ! [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)))) => ((X0 = X1) | (X0 = X2))) <=> (upairset2E = $true)),
% 2.07/0.65 inference(fool_elimination,[],[f482])).
% 2.07/0.65 thf(f482,plain,(
% 2.07/0.65 (! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) => ((X0 = X2) | (X0 = X1))) = upairset2E)),
% 2.07/0.65 inference(rectify,[],[f145])).
% 2.07/0.65 thf(f145,axiom,(
% 2.07/0.65 (! [X8,X2,X1] : ((in @ X8 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X1 = X8) | (X2 = X8))) = upairset2E)),
% 2.07/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairset2E)).
% 2.07/0.65 % SZS output end Proof for theBenchmark
% 2.07/0.65 % (13768)------------------------------
% 2.07/0.65 % (13768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.07/0.65 % (13768)Termination reason: Refutation
% 2.07/0.65
% 2.07/0.65 % (13768)Memory used [KB]: 8571
% 2.07/0.65 % (13768)Time elapsed: 0.154 s
% 2.07/0.65 % (13768)Instructions burned: 271 (million)
% 2.07/0.65 % (13768)------------------------------
% 2.07/0.65 % (13768)------------------------------
% 2.07/0.65 % (13745)Success in time 0.257 s
% 2.07/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------