TSTP Solution File: SEU823^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU823^1 : 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 : n014.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 03:51:50 EDT 2024
% Result : Theorem 2.05s 0.62s
% Output : Refutation 2.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU823^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n014.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 17:54:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TH0_THM_EQU_NAR problem
% 0.15/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % (30507)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (30508)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (30509)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.39 % (30511)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (30512)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.39 % (30513)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (30511)Instruction limit reached!
% 0.15/0.39 % (30511)------------------------------
% 0.15/0.39 % (30511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30511)Termination reason: Unknown
% 0.15/0.39 % (30511)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (30511)Memory used [KB]: 1663
% 0.15/0.39 % (30511)Time elapsed: 0.004 s
% 0.15/0.39 % (30511)Instructions burned: 3 (million)
% 0.15/0.39 % (30511)------------------------------
% 0.15/0.39 % (30511)------------------------------
% 0.15/0.39 % (30508)Instruction limit reached!
% 0.15/0.39 % (30508)------------------------------
% 0.15/0.39 % (30508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30508)Termination reason: Unknown
% 0.15/0.39 % (30508)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (30508)Memory used [KB]: 1663
% 0.15/0.39 % (30508)Time elapsed: 0.004 s
% 0.15/0.39 % (30508)Instructions burned: 5 (million)
% 0.15/0.39 % (30508)------------------------------
% 0.15/0.39 % (30508)------------------------------
% 0.15/0.40 % (30514)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (30514)Instruction limit reached!
% 0.15/0.40 % (30514)------------------------------
% 0.15/0.40 % (30514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30514)Termination reason: Unknown
% 0.15/0.40 % (30514)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30514)Memory used [KB]: 1663
% 0.15/0.40 % (30514)Time elapsed: 0.004 s
% 0.15/0.40 % (30514)Instructions burned: 3 (million)
% 0.15/0.40 % (30514)------------------------------
% 0.15/0.40 % (30514)------------------------------
% 0.15/0.40 % (30513)Instruction limit reached!
% 0.15/0.40 % (30513)------------------------------
% 0.15/0.40 % (30513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30513)Termination reason: Unknown
% 0.15/0.40 % (30513)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30513)Memory used [KB]: 2046
% 0.15/0.40 % (30513)Time elapsed: 0.014 s
% 0.15/0.40 % (30513)Instructions burned: 19 (million)
% 0.15/0.40 % (30513)------------------------------
% 0.15/0.40 % (30513)------------------------------
% 0.15/0.40 % (30510)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.41 % (30509)Instruction limit reached!
% 0.15/0.41 % (30509)------------------------------
% 0.15/0.41 % (30509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (30509)Termination reason: Unknown
% 0.15/0.41 % (30509)Termination phase: shuffling
% 0.15/0.41 % (30510)Instruction limit reached!
% 0.15/0.41 % (30510)------------------------------
% 0.15/0.41 % (30510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41
% 0.15/0.41 % (30509)Memory used [KB]: 2174
% 0.15/0.41 % (30509)Time elapsed: 0.016 s
% 0.15/0.41 % (30509)Instructions burned: 28 (million)
% 0.15/0.41 % (30509)------------------------------
% 0.15/0.41 % (30509)------------------------------
% 0.15/0.41 % (30510)Termination reason: Unknown
% 0.15/0.41 % (30510)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (30510)Memory used [KB]: 1663
% 0.15/0.41 % (30510)Time elapsed: 0.004 s
% 0.15/0.41 % (30510)Instructions burned: 3 (million)
% 0.15/0.41 % (30510)------------------------------
% 0.15/0.41 % (30510)------------------------------
% 0.21/0.41 % (30516)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)
% 0.21/0.41 % (30515)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 % (30516)Instruction limit reached!
% 0.21/0.42 % (30516)------------------------------
% 0.21/0.42 % (30516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (30516)Termination reason: Unknown
% 0.21/0.42 % (30516)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (30516)Memory used [KB]: 1918
% 0.21/0.42 % (30516)Time elapsed: 0.010 s
% 0.21/0.42 % (30516)Instructions burned: 16 (million)
% 0.21/0.42 % (30516)------------------------------
% 0.21/0.42 % (30516)------------------------------
% 0.21/0.42 % (30517)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)
% 0.21/0.42 % (30518)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)
% 0.21/0.42 % (30517)Instruction limit reached!
% 0.21/0.42 % (30517)------------------------------
% 0.21/0.42 % (30517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (30517)Termination reason: Unknown
% 0.21/0.42 % (30517)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (30517)Memory used [KB]: 1791
% 0.21/0.42 % (30517)Time elapsed: 0.004 s
% 0.21/0.42 % (30517)Instructions burned: 4 (million)
% 0.21/0.42 % (30517)------------------------------
% 0.21/0.42 % (30517)------------------------------
% 0.21/0.42 % (30519)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (30520)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (30519)Instruction limit reached!
% 0.21/0.43 % (30519)------------------------------
% 0.21/0.43 % (30519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (30519)Termination reason: Unknown
% 0.21/0.43 % (30519)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (30519)Memory used [KB]: 1791
% 0.21/0.43 % (30519)Time elapsed: 0.006 s
% 0.21/0.43 % (30519)Instructions burned: 7 (million)
% 0.21/0.43 % (30519)------------------------------
% 0.21/0.43 % (30519)------------------------------
% 0.21/0.43 % (30515)Instruction limit reached!
% 0.21/0.43 % (30515)------------------------------
% 0.21/0.43 % (30515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (30515)Termination reason: Unknown
% 0.21/0.43 % (30515)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (30515)Memory used [KB]: 2430
% 0.21/0.43 % (30515)Time elapsed: 0.021 s
% 0.21/0.43 % (30515)Instructions burned: 38 (million)
% 0.21/0.43 % (30515)------------------------------
% 0.21/0.43 % (30515)------------------------------
% 0.21/0.43 % (30521)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)
% 0.21/0.43 % (30520)Instruction limit reached!
% 0.21/0.43 % (30520)------------------------------
% 0.21/0.43 % (30520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (30520)Termination reason: Unknown
% 0.21/0.43 % (30520)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (30520)Memory used [KB]: 1918
% 0.21/0.43 % (30520)Time elapsed: 0.011 s
% 0.21/0.43 % (30520)Instructions burned: 17 (million)
% 0.21/0.43 % (30520)------------------------------
% 0.21/0.43 % (30520)------------------------------
% 0.21/0.43 % (30521)Instruction limit reached!
% 0.21/0.43 % (30521)------------------------------
% 0.21/0.43 % (30521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (30521)Termination reason: Unknown
% 0.21/0.43 % (30521)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (30521)Memory used [KB]: 1663
% 0.21/0.43 % (30521)Time elapsed: 0.004 s
% 0.21/0.43 % (30521)Instructions burned: 5 (million)
% 0.21/0.43 % (30521)------------------------------
% 0.21/0.43 % (30521)------------------------------
% 0.21/0.43 % (30522)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)
% 0.21/0.44 % (30522)Instruction limit reached!
% 0.21/0.44 % (30522)------------------------------
% 0.21/0.44 % (30522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (30522)Termination reason: Unknown
% 0.21/0.44 % (30522)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (30522)Memory used [KB]: 1663
% 0.21/0.44 % (30522)Time elapsed: 0.004 s
% 0.21/0.44 % (30522)Instructions burned: 3 (million)
% 0.21/0.44 % (30522)------------------------------
% 0.21/0.44 % (30522)------------------------------
% 0.21/0.44 % (30523)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)
% 0.21/0.44 % (30524)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)
% 0.21/0.44 % (30523)Instruction limit reached!
% 0.21/0.44 % (30523)------------------------------
% 0.21/0.44 % (30523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (30523)Termination reason: Unknown
% 0.21/0.44 % (30523)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (30523)Memory used [KB]: 1791
% 0.21/0.44 % (30523)Time elapsed: 0.006 s
% 0.21/0.44 % (30523)Instructions burned: 7 (million)
% 0.21/0.44 % (30523)------------------------------
% 0.21/0.44 % (30523)------------------------------
% 0.21/0.44 % (30524)Instruction limit reached!
% 0.21/0.44 % (30524)------------------------------
% 0.21/0.44 % (30524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (30524)Termination reason: Unknown
% 0.21/0.44 % (30524)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (30524)Memory used [KB]: 1663
% 0.21/0.44 % (30524)Time elapsed: 0.004 s
% 0.21/0.44 % (30524)Instructions burned: 3 (million)
% 0.21/0.44 % (30524)------------------------------
% 0.21/0.44 % (30524)------------------------------
% 0.21/0.45 % (30525)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (30526)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)
% 0.21/0.45 % (30525)Instruction limit reached!
% 0.21/0.45 % (30525)------------------------------
% 0.21/0.45 % (30525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (30525)Termination reason: Unknown
% 0.21/0.45 % (30525)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (30525)Memory used [KB]: 1663
% 0.21/0.45 % (30525)Time elapsed: 0.005 s
% 0.21/0.45 % (30525)Instructions burned: 5 (million)
% 0.21/0.45 % (30525)------------------------------
% 0.21/0.45 % (30525)------------------------------
% 0.21/0.45 % (30527)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (30526)Instruction limit reached!
% 0.21/0.45 % (30526)------------------------------
% 0.21/0.45 % (30526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (30526)Termination reason: Unknown
% 0.21/0.45 % (30526)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (30526)Memory used [KB]: 2046
% 0.21/0.45 % (30526)Time elapsed: 0.010 s
% 0.21/0.45 % (30526)Instructions burned: 18 (million)
% 0.21/0.45 % (30526)------------------------------
% 0.21/0.45 % (30526)------------------------------
% 0.21/0.46 % (30528)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (30529)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)
% 0.21/0.46 % (30528)Instruction limit reached!
% 0.21/0.46 % (30528)------------------------------
% 0.21/0.46 % (30528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (30528)Termination reason: Unknown
% 0.21/0.46 % (30528)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (30528)Memory used [KB]: 1791
% 0.21/0.46 % (30528)Time elapsed: 0.006 s
% 0.21/0.46 % (30528)Instructions burned: 7 (million)
% 0.21/0.46 % (30528)------------------------------
% 0.21/0.46 % (30528)------------------------------
% 0.21/0.46 % (30530)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)
% 0.21/0.47 % (30531)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.47 % (30531)Instruction limit reached!
% 0.21/0.47 % (30531)------------------------------
% 0.21/0.47 % (30531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (30531)Termination reason: Unknown
% 0.21/0.47 % (30531)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (30531)Memory used [KB]: 1663
% 0.21/0.47 % (30531)Time elapsed: 0.004 s
% 0.21/0.47 % (30531)Instructions burned: 5 (million)
% 0.21/0.47 % (30531)------------------------------
% 0.21/0.47 % (30531)------------------------------
% 0.21/0.47 % (30530)Instruction limit reached!
% 0.21/0.47 % (30530)------------------------------
% 0.21/0.47 % (30530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (30530)Termination reason: Unknown
% 0.21/0.47 % (30530)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (30530)Memory used [KB]: 2046
% 0.21/0.47 % (30530)Time elapsed: 0.013 s
% 0.21/0.47 % (30530)Instructions burned: 21 (million)
% 0.21/0.47 % (30530)------------------------------
% 0.21/0.47 % (30530)------------------------------
% 0.21/0.48 % (30507)Instruction limit reached!
% 0.21/0.48 % (30507)------------------------------
% 0.21/0.48 % (30507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (30507)Termination reason: Unknown
% 0.21/0.48 % (30507)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (30507)Memory used [KB]: 3198
% 0.21/0.48 % (30507)Time elapsed: 0.087 s
% 0.21/0.48 % (30507)Instructions burned: 184 (million)
% 0.21/0.48 % (30507)------------------------------
% 0.21/0.48 % (30507)------------------------------
% 0.21/0.48 % (30532)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)
% 0.21/0.48 % (30532)Instruction limit reached!
% 0.21/0.48 % (30532)------------------------------
% 0.21/0.48 % (30532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (30532)Termination reason: Unknown
% 0.21/0.48 % (30532)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (30532)Memory used [KB]: 1791
% 0.21/0.48 % (30532)Time elapsed: 0.005 s
% 0.21/0.48 % (30532)Instructions burned: 6 (million)
% 0.21/0.48 % (30532)------------------------------
% 0.21/0.48 % (30532)------------------------------
% 0.21/0.48 % (30533)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49 % (30534)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)
% 0.21/0.49 % (30536)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)
% 0.21/0.50 % (30535)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)
% 0.21/0.51 % (30535)Instruction limit reached!
% 0.21/0.51 % (30535)------------------------------
% 0.21/0.51 % (30535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (30535)Termination reason: Unknown
% 0.21/0.51 % (30535)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (30535)Memory used [KB]: 2046
% 0.21/0.51 % (30535)Time elapsed: 0.013 s
% 0.21/0.51 % (30535)Instructions burned: 21 (million)
% 0.21/0.51 % (30535)------------------------------
% 0.21/0.51 % (30535)------------------------------
% 0.21/0.52 % (30512)Instruction limit reached!
% 0.21/0.52 % (30512)------------------------------
% 0.21/0.52 % (30512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (30512)Termination reason: Unknown
% 0.21/0.52 % (30512)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (30512)Memory used [KB]: 6268
% 0.21/0.52 % (30512)Time elapsed: 0.130 s
% 0.21/0.52 % (30512)Instructions burned: 276 (million)
% 0.21/0.52 % (30512)------------------------------
% 0.21/0.52 % (30512)------------------------------
% 0.21/0.52 % (30537)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.53 % (30537)Instruction limit reached!
% 0.21/0.53 % (30537)------------------------------
% 0.21/0.53 % (30537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (30537)Termination reason: Unknown
% 0.21/0.53 % (30537)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (30537)Memory used [KB]: 2046
% 0.21/0.53 % (30537)Time elapsed: 0.007 s
% 0.21/0.53 % (30537)Instructions burned: 20 (million)
% 0.21/0.53 % (30537)------------------------------
% 0.21/0.53 % (30537)------------------------------
% 0.21/0.53 % (30538)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.53 % (30538)Instruction limit reached!
% 0.21/0.53 % (30538)------------------------------
% 0.21/0.53 % (30538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (30538)Termination reason: Unknown
% 0.21/0.53 % (30538)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (30538)Memory used [KB]: 1791
% 0.21/0.53 % (30538)Time elapsed: 0.003 s
% 0.21/0.53 % (30538)Instructions burned: 5 (million)
% 0.21/0.53 % (30538)------------------------------
% 0.21/0.53 % (30538)------------------------------
% 0.21/0.54 % (30539)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.54 % (30540)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.55 % (30539)Instruction limit reached!
% 0.21/0.55 % (30539)------------------------------
% 0.21/0.55 % (30539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (30539)Termination reason: Unknown
% 0.21/0.55 % (30539)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (30539)Memory used [KB]: 2302
% 0.21/0.55 % (30539)Time elapsed: 0.010 s
% 0.21/0.55 % (30539)Instructions burned: 30 (million)
% 0.21/0.55 % (30539)------------------------------
% 0.21/0.55 % (30539)------------------------------
% 0.21/0.55 % (30541)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.58 % (30540)Instruction limit reached!
% 0.21/0.58 % (30540)------------------------------
% 0.21/0.58 % (30540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.58 % (30540)Termination reason: Unknown
% 0.21/0.58 % (30540)Termination phase: Property scanning
% 0.21/0.58
% 0.21/0.58 % (30540)Memory used [KB]: 3070
% 0.21/0.58 % (30540)Time elapsed: 0.037 s
% 0.21/0.58 % (30540)Instructions burned: 130 (million)
% 0.21/0.58 % (30540)------------------------------
% 0.21/0.58 % (30540)------------------------------
% 1.70/0.58 % (30541)Instruction limit reached!
% 1.70/0.58 % (30541)------------------------------
% 1.70/0.58 % (30541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.70/0.58 % (30541)Termination reason: Unknown
% 1.70/0.58 % (30541)Termination phase: Property scanning
% 1.70/0.58
% 1.70/0.58 % (30541)Memory used [KB]: 2814
% 1.70/0.58 % (30541)Time elapsed: 0.029 s
% 1.70/0.58 % (30541)Instructions burned: 100 (million)
% 1.70/0.58 % (30541)------------------------------
% 1.70/0.58 % (30541)------------------------------
% 1.70/0.58 % (30542)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)
% 1.70/0.59 % (30542)Instruction limit reached!
% 1.70/0.59 % (30542)------------------------------
% 1.70/0.59 % (30542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.70/0.59 % (30542)Termination reason: Unknown
% 1.70/0.59 % (30542)Termination phase: shuffling
% 1.70/0.59
% 1.70/0.59 % (30542)Memory used [KB]: 1663
% 1.70/0.59 % (30542)Time elapsed: 0.003 s
% 1.70/0.59 % (30542)Instructions burned: 5 (million)
% 1.70/0.59 % (30542)------------------------------
% 1.70/0.59 % (30542)------------------------------
% 1.70/0.59 % (30543)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)
% 1.83/0.59 % (30544)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.83/0.60 % (30543)Instruction limit reached!
% 1.83/0.60 % (30543)------------------------------
% 1.83/0.60 % (30543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.60 % (30543)Termination reason: Unknown
% 1.83/0.60 % (30543)Termination phase: shuffling
% 1.83/0.60
% 1.83/0.60 % (30543)Memory used [KB]: 2046
% 1.83/0.60 % (30543)Time elapsed: 0.009 s
% 1.83/0.60 % (30543)Instructions burned: 22 (million)
% 1.83/0.60 % (30543)------------------------------
% 1.83/0.60 % (30543)------------------------------
% 1.83/0.61 % (30545)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.83/0.61 % (30533)Instruction limit reached!
% 1.83/0.61 % (30533)------------------------------
% 1.83/0.61 % (30533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.61 % (30533)Termination reason: Unknown
% 1.83/0.61 % (30533)Termination phase: Saturation
% 1.83/0.61
% 1.83/0.61 % (30533)Memory used [KB]: 8827
% 1.83/0.61 % (30533)Time elapsed: 0.128 s
% 1.83/0.61 % (30533)Instructions burned: 378 (million)
% 1.83/0.61 % (30533)------------------------------
% 1.83/0.61 % (30533)------------------------------
% 1.83/0.62 % (30529)First to succeed.
% 1.83/0.62 % (30544)Instruction limit reached!
% 1.83/0.62 % (30544)------------------------------
% 1.83/0.62 % (30544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.62 % (30544)Termination reason: Unknown
% 1.83/0.62 % (30544)Termination phase: Property scanning
% 1.83/0.62
% 1.83/0.62 % (30544)Memory used [KB]: 2942
% 1.83/0.62 % (30544)Time elapsed: 0.026 s
% 1.83/0.62 % (30544)Instructions burned: 89 (million)
% 1.83/0.62 % (30544)------------------------------
% 1.83/0.62 % (30544)------------------------------
% 2.05/0.62 % (30529)Refutation found. Thanks to Tanya!
% 2.05/0.62 % SZS status Theorem for theBenchmark
% 2.05/0.62 % SZS output start Proof for theBenchmark
% 2.05/0.62 thf(func_def_0, type, in: $i > $i > $o).
% 2.05/0.62 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.05/0.62 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.05/0.62 thf(func_def_8, type, powerset: $i > $i).
% 2.05/0.62 thf(func_def_10, type, setunion: $i > $i).
% 2.05/0.62 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_26, type, prop2set: $o > $i).
% 2.05/0.62 thf(func_def_36, type, nonempty: $i > $o).
% 2.05/0.62 thf(func_def_69, type, set2prop: $i > $o).
% 2.05/0.62 thf(func_def_88, type, subset: $i > $i > $o).
% 2.05/0.62 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.05/0.62 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.05/0.62 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.05/0.62 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.05/0.62 thf(func_def_135, type, regular: $i > $o).
% 2.05/0.62 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.05/0.62 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.05/0.62 thf(func_def_153, type, iskpair: $i > $o).
% 2.05/0.62 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.05/0.62 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.05/0.62 thf(func_def_177, type, singleton: $i > $o).
% 2.05/0.62 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.05/0.62 thf(func_def_184, type, atmost1p: $i > $o).
% 2.05/0.62 thf(func_def_185, type, atleast2p: $i > $o).
% 2.05/0.62 thf(func_def_186, type, atmost2p: $i > $o).
% 2.05/0.62 thf(func_def_187, type, upairsetp: $i > $o).
% 2.05/0.62 thf(func_def_191, type, kfst: $i > $i).
% 2.05/0.62 thf(func_def_203, type, ksnd: $i > $i).
% 2.05/0.62 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.05/0.62 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.05/0.62 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.05/0.62 thf(func_def_323, type, breln1: $i > $i > $o).
% 2.05/0.62 thf(func_def_325, type, breln1Set: $i > $i).
% 2.05/0.62 thf(func_def_327, type, transitive: $i > $i > $o).
% 2.05/0.62 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 2.05/0.62 thf(func_def_329, type, reflexive: $i > $i > $o).
% 2.05/0.62 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 2.05/0.62 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 2.05/0.62 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 2.05/0.62 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 2.05/0.62 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 2.05/0.62 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 2.05/0.62 thf(func_def_378, type, omegaS: $i > $i).
% 2.05/0.62 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_386, type, peano: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_387, type, transitiveset: $i > $o).
% 2.05/0.62 thf(func_def_392, type, stricttotalorderedByIn: $i > $o).
% 2.05/0.62 thf(func_def_393, type, wellorderedByIn: $i > $o).
% 2.05/0.62 thf(func_def_394, type, ordinal: $i > $o).
% 2.05/0.62 thf(func_def_395, type, limitOrdinal: $i > $o).
% 2.05/0.62 thf(func_def_400, type, succOrdinal: $i > $o).
% 2.05/0.62 thf(func_def_422, type, sP3: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_425, type, sP6: $i > $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_428, type, sP9: $i > $o > $i > $i > $o).
% 2.05/0.62 thf(func_def_429, type, sP10: $i > $i > $o).
% 2.05/0.62 thf(func_def_430, type, sP11: $i > $o).
% 2.05/0.62 thf(func_def_431, type, sP12: $i > $i > $o).
% 2.05/0.62 thf(func_def_432, type, sP13: $i > $i > $o).
% 2.05/0.62 thf(func_def_434, type, sP15: $i > $i > $i > $o).
% 2.05/0.62 thf(func_def_437, type, sK18: $i > $o).
% 2.05/0.62 thf(func_def_446, type, sK27: $i > $o).
% 2.05/0.62 thf(func_def_448, type, sK29: ($i > $o) > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_449, type, sK30: ($i > $o) > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_450, type, sK31: $i > $i).
% 2.05/0.62 thf(func_def_455, type, sK36: $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_457, type, sK38: $i > $i).
% 2.05/0.62 thf(func_def_459, type, sK40: ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_461, type, sK42: $i > $o).
% 2.05/0.62 thf(func_def_463, type, sK44: $i > $o).
% 2.05/0.62 thf(func_def_470, type, sK51: $i > $o).
% 2.05/0.62 thf(func_def_494, type, sK75: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_495, type, sK76: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_498, type, sK79: $i > $o).
% 2.05/0.62 thf(func_def_499, type, sK80: $i > $o).
% 2.05/0.62 thf(func_def_500, type, sK81: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_531, type, sK112: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_535, type, sK116: $i > $i > $i).
% 2.05/0.62 thf(func_def_546, type, sK127: $i > $i).
% 2.05/0.62 thf(func_def_547, type, sK128: $i > ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_549, type, sK130: $i > $o).
% 2.05/0.62 thf(func_def_564, type, sK145: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_565, type, sK146: $i > $o).
% 2.05/0.62 thf(func_def_599, type, sK180: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_600, type, sK181: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_627, type, sK208: $i > $i).
% 2.05/0.62 thf(func_def_629, type, sK210: $i > $o).
% 2.05/0.62 thf(func_def_634, type, sK215: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_635, type, sK216: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_653, type, sK234: $i > $o).
% 2.05/0.62 thf(func_def_655, type, sK236: ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_656, type, sK237: ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_668, type, sK249: $i > $o).
% 2.05/0.62 thf(func_def_671, type, sK252: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_672, type, sK253: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_687, type, sK268: $i > $i).
% 2.05/0.62 thf(func_def_691, type, sK272: $i > $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_694, type, sK275: $i > $o).
% 2.05/0.62 thf(func_def_699, type, sK280: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_713, type, sK294: $i > $i > $i).
% 2.05/0.62 thf(func_def_730, type, sK311: $i > $i > $o).
% 2.05/0.62 thf(func_def_745, type, sK326: $i > $i).
% 2.05/0.62 thf(func_def_747, type, sK328: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_752, type, sK333: $i > $o).
% 2.05/0.62 thf(func_def_755, type, sK336: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_763, type, sK344: $i > $i > $o).
% 2.05/0.62 thf(func_def_767, type, sK348: $i > $i > $o).
% 2.05/0.62 thf(func_def_773, type, sK354: $i > $i).
% 2.05/0.62 thf(func_def_786, type, sK367: $i > $i > $o).
% 2.05/0.62 thf(func_def_787, type, sK368: $i > $i).
% 2.05/0.62 thf(func_def_788, type, sK369: $i > $i).
% 2.05/0.62 thf(func_def_789, type, sK370: ($i > $i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_790, type, sK371: $i > ($i > $i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_791, type, sK372: ($i > $i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_793, type, sK374: $i > $i).
% 2.05/0.62 thf(func_def_795, type, sK376: $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_798, type, sK379: $i > $i).
% 2.05/0.62 thf(func_def_806, type, sK387: ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_807, type, sK388: ($i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_810, type, sK391: $i > $o).
% 2.05/0.62 thf(func_def_813, type, sK394: $i > $i).
% 2.05/0.62 thf(func_def_816, type, sK397: $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_830, type, sK411: $i > $o).
% 2.05/0.62 thf(func_def_853, type, sK434: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_855, type, sK436: $i > $o).
% 2.05/0.62 thf(func_def_857, type, sK438: ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_861, type, sK442: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_862, type, sK443: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_863, type, sK444: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_864, type, sK445: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_894, type, sK475: ($i > $i) > $i > $i > $i).
% 2.05/0.62 thf(func_def_897, type, sK478: $i > $i).
% 2.05/0.62 thf(func_def_903, type, sK484: $i > $o).
% 2.05/0.62 thf(func_def_904, type, sK485: $i > $i).
% 2.05/0.62 thf(func_def_905, type, sK486: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_913, type, sK494: $i > $i > $o).
% 2.05/0.62 thf(func_def_934, type, sK515: $i > $i > $i).
% 2.05/0.62 thf(func_def_935, type, sK516: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_936, type, sK517: $i > $o).
% 2.05/0.62 thf(func_def_952, type, sK533: $i > $i).
% 2.05/0.62 thf(func_def_954, type, sK535: $i > $i).
% 2.05/0.62 thf(func_def_982, type, sK563: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_983, type, sK564: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_984, type, sK565: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_985, type, sK566: $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_986, type, sK567: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_987, type, sK568: $i > $o).
% 2.05/0.62 thf(func_def_1014, type, sK595: $i > $i).
% 2.05/0.62 thf(func_def_1038, type, sK619: $i > $i > $i).
% 2.05/0.62 thf(func_def_1046, type, sK627: ($i > $i > $o) > $i > $i > $i).
% 2.05/0.62 thf(func_def_1049, type, sK630: $i > $i > $o).
% 2.05/0.62 thf(func_def_1052, type, sK633: $i > $i).
% 2.05/0.62 thf(func_def_1059, type, sK640: $i > $o).
% 2.05/0.62 thf(func_def_1060, type, sK641: ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_1067, type, sK648: $i > $i).
% 2.05/0.62 thf(func_def_1088, type, sK669: $i > $i > $o).
% 2.05/0.62 thf(func_def_1101, type, sK682: $i > $i).
% 2.05/0.62 thf(func_def_1103, type, sK684: $i > $i).
% 2.05/0.62 thf(func_def_1104, type, sK685: $i > $i).
% 2.05/0.62 thf(func_def_1105, type, sK686: $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_1106, type, sK687: $i > $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_1111, type, sK692: $i > $o).
% 2.05/0.62 thf(func_def_1112, type, sK693: $i > $o).
% 2.05/0.62 thf(func_def_1113, type, sK694: ($i > $o) > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1114, type, sK695: ($i > $o) > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1124, type, sK705: $i > $o).
% 2.05/0.62 thf(func_def_1131, type, sK712: $i > $i > $i).
% 2.05/0.62 thf(func_def_1157, type, sK738: $i > $i > $i).
% 2.05/0.62 thf(func_def_1158, type, sK739: $i > $i > $i).
% 2.05/0.62 thf(func_def_1177, type, sK758: $i > $i > $i).
% 2.05/0.62 thf(func_def_1185, type, sK766: $i > $o).
% 2.05/0.62 thf(func_def_1186, type, sK767: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1188, type, sK769: $i > $i > $o).
% 2.05/0.62 thf(func_def_1199, type, sK780: $i > $o).
% 2.05/0.62 thf(func_def_1211, type, sK792: $i > $i).
% 2.05/0.62 thf(func_def_1215, type, sK796: $i > $o).
% 2.05/0.62 thf(func_def_1220, type, sK801: $i > $i > $i).
% 2.05/0.62 thf(func_def_1221, type, sK802: $i > $i > $i).
% 2.05/0.62 thf(func_def_1222, type, sK803: $i > $i > $i).
% 2.05/0.62 thf(func_def_1223, type, sK804: $i > $i > $i).
% 2.05/0.62 thf(func_def_1224, type, sK805: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1225, type, sK806: $i > $i).
% 2.05/0.62 thf(func_def_1226, type, sK807: $i > $i).
% 2.05/0.62 thf(func_def_1227, type, sK808: $i > $i).
% 2.05/0.62 thf(func_def_1228, type, sK809: $i > $i).
% 2.05/0.62 thf(func_def_1229, type, sK810: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1230, type, sK811: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1231, type, sK812: $i > $i > $i).
% 2.05/0.62 thf(func_def_1232, type, sK813: $i > $i > $i).
% 2.05/0.62 thf(func_def_1233, type, sK814: $i > $i > $i).
% 2.05/0.62 thf(func_def_1235, type, sK816: $i > $i).
% 2.05/0.62 thf(func_def_1236, type, sK817: $i > $i).
% 2.05/0.62 thf(func_def_1237, type, sK818: $i > $i).
% 2.05/0.62 thf(func_def_1238, type, sK819: $i > $i > $i).
% 2.05/0.62 thf(func_def_1239, type, sK820: $i > $i > $o).
% 2.05/0.62 thf(func_def_1247, type, sK828: $i > $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1254, type, sK835: $i > $i > $o).
% 2.05/0.62 thf(func_def_1265, type, sK846: $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_1267, type, sK848: $i > $i).
% 2.05/0.62 thf(func_def_1276, type, sK857: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1277, type, sK858: $i > $o).
% 2.05/0.62 thf(func_def_1278, type, sK859: $i > $i).
% 2.05/0.62 thf(func_def_1284, type, sK865: $i > $i).
% 2.05/0.62 thf(func_def_1291, type, sK872: ($i > $o) > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1292, type, sK873: ($i > $o) > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1293, type, sK874: $i > $o).
% 2.05/0.62 thf(func_def_1294, type, sK875: $i > $o).
% 2.05/0.62 thf(func_def_1298, type, sK879: $i > $o).
% 2.05/0.62 thf(func_def_1300, type, sK881: ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_1313, type, sK894: $i > $i > $i).
% 2.05/0.62 thf(func_def_1328, type, sK909: $i > $i > $i).
% 2.05/0.62 thf(func_def_1343, type, sK924: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1344, type, sK925: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1373, type, sK954: $i > $o).
% 2.05/0.62 thf(func_def_1375, type, sK956: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1376, type, sK957: ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1393, type, sK974: $i > $o).
% 2.05/0.62 thf(func_def_1402, type, sK983: $i > $o).
% 2.05/0.62 thf(func_def_1403, type, sK984: $i > $o).
% 2.05/0.62 thf(func_def_1407, type, sK988: ($i > $o) > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1408, type, sK989: ($i > $o) > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1412, type, sK993: $i > $o).
% 2.05/0.62 thf(func_def_1434, type, sK1015: $o > $i > $i > $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1455, type, sK1036: $i > $o).
% 2.05/0.62 thf(func_def_1458, type, sK1039: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1459, type, sK1040: $i > ($i > $o) > $i).
% 2.05/0.62 thf(func_def_1460, type, sK1041: ($i > $o) > $i > $i).
% 2.05/0.62 thf(func_def_1462, type, sK1043: $i > $o).
% 2.05/0.62 thf(func_def_1478, type, sK1059: $i > $i).
% 2.05/0.62 thf(func_def_1481, type, sK1062: $i > $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_1483, type, sK1064: $i > $o).
% 2.05/0.62 thf(func_def_1489, type, sK1070: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1490, type, sK1071: $i > $i > $i > $i).
% 2.05/0.62 thf(func_def_1496, type, sK1077: $i > $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_1497, type, sK1078: $i > ($i > $i) > $i > $i).
% 2.05/0.62 thf(func_def_1499, type, sK1080: $i > $i).
% 2.05/0.62 thf(func_def_1517, type, sK1098: $i > $i > ($i > $i) > $i).
% 2.05/0.62 thf(func_def_1518, type, sK1099: $i > $i).
% 2.05/0.62 thf(func_def_1532, type, sK1113: $o > $i > $i > $i).
% 2.05/0.62 thf(func_def_1537, type, ph1118: !>[X0: $tType]:(X0)).
% 2.05/0.62 thf(f5407,plain,(
% 2.05/0.62 $false),
% 2.05/0.62 inference(trivial_inequality_removal,[],[f5399])).
% 2.05/0.62 thf(f5399,plain,(
% 2.05/0.62 ($true != $true)),
% 2.05/0.62 inference(superposition,[],[f5331,f4729])).
% 2.05/0.62 thf(f4729,plain,(
% 2.05/0.62 ((in @ sK1023 @ sK1024) = $true)),
% 2.05/0.62 inference(cnf_transformation,[],[f3095])).
% 2.05/0.62 thf(f3095,plain,(
% 2.05/0.62 (cartprodsndin = $true) & (setextAx = $true) & (subsetI2 = $true) & (foundation2 = $true) & (woz13rule2 = $true) & (upairsetE = $true) & (notequalI1 = $true) & (setadjoin__Cong = $true) & (image1Equiv = $true) & (ifp = $true) & (notdallE = $true) & (sepInPowerset = $true) & (complementImpComplementIntersect = $true) & (omegaSclos = $true) & (replAx = $true) & (dpsetconstrER = $true) & (breln1unionprop = $true) & (breln1unionCommutes = $true) & (setukpairinjR11 = $true) & (symdiffIneg2 = $true) & (binintersectLsub = $true) & (setextsub = $true) & (powersetI1 = $true) & (subbreln1 = $true) & (disjointsetsI1 = $true) & (descr__Cong = $true) & (symdiffIneg1 = $true) & (breln1invE = $true) & (doubleComplementI1 = $true) & (subbreln = $true) & (subsetTI = $true) & (iftrueorfalse = $true) & (notinself = $true) & (exuI3 = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (demorgan1b = $true) & (injFuncInInjFuncSet = $true) & (powersetE = $true) & (nonemptyI = $true) & (funcGraphProp1 = $true) & (setOfPairsIsBReln1 = $true) & (dpsetconstrI = $true) & (dsetconstrEL = $true) & (subsetI1 = $true) & (complementTcontraSubset = $true) & (ubforcartprodlem2 = $true) & (setminusER = $true) & (dsetconstrER = $true) & (inComplementUnionImpNotIn1 = $true) & (kpairsurjEq = $true) & (cartprodsndpairEq = $true) & (woz1_5 = $true) & (binunionE = $true) & (symdiffE = $true) & (ubforcartprodlem1 = $true) & (breln1unionEcases = $true) & (binintersectSubset1 = $true) & (apProp = $true) & (notinemptyset = $true) & (exuEu = $true) & (woz1_4 = $true) & (cartprodpairsurjEq = $true) & (eqinunit = $true) & (infuncsetfunc = $true) & (omega0Ax = $true) & (binunionEcases = $true) & (ap2apEq2 = $true) & (eqbreln = $true) & (lamp = $true) & (peanoSinj = $true) & (powerset__Cong = $true) & (leftInvIsSurj = $true) & (ex1E2 = $true) & (setunionsingleton2 = $true) & (setunionOrdinalLem1 = $true) & (cartprodmempaircEq = $true) & (breln1unionE = $true) & (inIntersectImpInIntersectUnions = $true) & (binunionIR = $true) & (notdexE = $true) & (doubleComplementSub1 = $true) & (subPowSU = $true) & (ap2apEq1 = $true) & (demorgan1 = $true) & (setukpairinjR2 = $true) & (woz2W = $true) & (notinself2 = $true) & (emptysetimpfalse = $true) & (setunionAx = $true) & (upairinpowunion = $true) & (setunionI = $true) & (powersetTI1 = $true) & (upairsetIR = $true) & (lam2p = $true) & (eta1 = $true) & (exu__Cong = $true) & (dsetconstr__Cong = $true) & (setukpairIL = $true) & (breln1compEex = $true) & (subset2powerset = $true) & (setadjoinIL = $true) & (setoftrueEq = $true) & (breln1unionI = $true) & (emptyinPowerset = $true) & (woz1_1 = $true) & (kfstpairEq = $true) & (setadjoinIR = $true) & (setadjoinOr = $true) & (theprop = $true) & (symdiffI2 = $true) & (setminusLsub = $true) & (prop2setI = $true) & (eqimpsubset1 = $true) & (inCongP = $true) & (ubforcartprodlem3 = $true) & (funcinfuncset = $true) & (inIntersectImpInUnion = $true) & (ksndpairEq = $true) & (omega__Cong = $true) & (complementTnotintersectT = $true) & (contrasubsetT = $true) & (cartprodpairmemER = $true) & (singletonsubset = $true) & (sepSubset = $true) & (upairset2IR = $true) & (cartprodpairmemEL = $true) & (in__Cong = $true) & (dpsetconstrERa = $true) & (binintersectEL = $true) & (quantDeMorgan4 = $true) & (binunionT_lem = $true) & (ap2p = $true) & (breln1unionIL = $true) & (exuI1 = $true) & (complementT_lem = $true) & (complementTE1 = $true) & (breln1SetBreln1 = $true) & (contraSubsetComplement = $true) & (setadjoinE = $true) & (inPowerset = $true) & (noeltsimpempty = $true) & (funcGraphProp3 = $true) & (omegaSp = $true) & (ordinalTransSet = $true) & (binintersectRsub = $true) & (injFuncSetFuncIn = $true) & (singletonprop = $true) & (setminusT_lem = $true) & (contrasubsetT1 = $true) & (setminusILneg = $true) & (funcGraphProp4 = $true) & (subsetE2 = $true) & (cartprodmempair1 = $true) & (complementTI1 = $true) & (kfstsingleton = $true) & (funcImageSingleton = $true) & (breln1invI = $true) & (complementInPowersetComplementIntersect = $true) & (setext = $true) & (wellorderingAx = $true) & (eqbreln1 = $true) & (binunionTILcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (singletonsswitch = $true) & (setunionE2 = $true) & (image1Ex1 = $true) & (bs114d = $true) & (kpairp = $true) & (symdiffI1 = $true) & (notinsingleton = $true) & (funcextLem = $true) & (ex1I = $true) & (binintersectSubset5 = $true) & (demorgan2a1 = $true) & (singletoninpowerset = $true) & (upairset2E = $true) & (setukpairinjR1 = $true) & (descrp = $true) & (choice2fnsingleton = $true) & (setminusEL = $true) & (binintersectER = $true) & (emptyI = $true) & (setukpairIR = $true) & (demorgan1a = $true) & (upairequniteq = $true) & (ifSingleton = $true) & (powersetE1 = $true) & (complementUnionInPowersetComplement = $true) & (lam2lamEq = $true) & (cartprodmempair = $true) & (binunionRsub = $true) & (singletonsuniq = $true) & (setminusELneg = $true) & (binintersectI = $true) & (setminusERneg = $true) & (subsetRefl = $true) & (complementSubsetComplementIntersect = $true) & (singletoninpowunion = $true) & (powersetAx = $true) & (exuI2 = $true) & (demorgan2b2 = $true) & (powersetI = $true) & (transitivesetOp1 = $true) & (iftrue = $true) & (brelnall1 = $true) & (setminusIRneg = $true) & (iftrueProp2 = $true) & (eta2 = $true) & (vacuousDall = $true) & (funcext2 = $true) & (brelnall2 = $true) & (dpsetconstrEL1 = $true) & (quantDeMorgan3 = $true) & (secondinupair = $true) & (setextT = $true) & (contrasubsetT2 = $true) & (inIntersectImpInUnion2 = $true) & (setadjoinAx = $true) & (demorgan2b = $true) & (breln1all1 = $true) & (intersectInPowersetIntersectUnions = $true) & (powersetsubset = $true) & (dpsetconstrSub = $true) & (setadjoinSub = $true) & (upairsetIL = $true) & (dpsetconstrEL2 = $true) & (iffalseProp2 = $true) & (surjFuncSetFuncSurj = $true) & (emptysetE = $true) & (setminusI = $true) & (cartprodfstpairEq = $true) & (breln1compE = $true) & (subsetE = $true) & (binintersectTELcontra = $true) & (surjCantorThm = $true) & (binunionIL = $true) & (demorgan2a = $true) & (woz1_2 = $true) & (woz13rule4 = $true) & (setunionsingleton = $true) & (emptysetAx = $true) & (doubleComplementE1 = $true) & (foundationAx = $true) & (breln1compI = $true) & (binintTransitive = $true) & (contrasubsetT3 = $true) & (notsubsetI = $true) & (breln1all2 = $true) & (quantDeMorgan1 = $true) & (setunionE = $true) & (funcGraphProp2 = $true) & (funcext = $true) & (nonemptyE1 = $true) & (powersetTE1 = $true) & (subsetemptysetimpeq = $true) & ((((in @ sK1023 @ sK1024) = $true) & ($true = (in @ sK1024 @ sK1023))) & ($true = (ordinal @ sK1023))) & (emptysetsubset = $true) & (dsetconstrI = $true) & (emptyInPowerset = $true) & (exuE2 = $true) & (transitivesetOp2 = $true) & (setOfPairsIsBReln = $true) & (upairsubunion = $true) & (ex1E1 = $true) & (prop2setE = $true) & (binunionLsub = $true) & (eqimpsubset2 = $true) & (breln1unionIR = $true) & (app = $true) & (nonemptyImpWitness = $true) & (setminusSubset1 = $true) & (binunionTE = $true) & (setunion__Cong = $true) & (setukpairinjL = $true) & (woz2B = $true) & (ordinalIrrefl = $true) & (omegaSAx = $true) & (ordinalTransSet1 = $true) & (breln1invprop = $true) & (setunionsingleton1 = $true) & (iffalseProp1 = $true) & (doubleComplementEq = $true) & (exuE3u = $true) & (cartprodfstin = $true) & (image1Ex = $true) & (binintersectSubset3 = $true) & (setminusSubset2 = $true) & (emptyset__Cong = $true) & (powersetT_lem = $true) & (setadjoinSub2 = $true) & (demorgan2 = $true) & (quantDeMorgan2 = $true) & (subsetTrans = $true) & (woz2Ex = $true) & (peano0notS = $true) & (kpairiskpair = $true) & (omegaIndAx = $true) & (binintersectT_lem = $true) & (theeq = $true) & (image1E = $true) & (breln1compprop = $true) & (woz13rule0 = $true) & (beta1 = $true) & (binintersectSubset4 = $true) & (uniqinunit = $true) & (demorgan2a2 = $true) & (ordinalIrrefl2 = $true) & (exuE3e = $true) & (woz1_3 = $true) & (nonemptyI1 = $true) & (binintersectSubset2 = $true) & (notequalI2 = $true) & (exuE1 = $true) & (injFuncSetFuncInj = $true) & (emptyE1 = $true) & (cartprodpairin = $true) & (ordinalMinLem1 = $true) & (ksndsingleton = $true) & (emptyinunitempty = $true) & (surjFuncSetFuncIn = $true) & (woz2A = $true) & (setbeta = $true) & (ex1I2 = $true) & (setukpairinjR = $true) & (woz13rule1 = $true) & (setunionTransitive = $true) & (emptysetOrdinal = $true) & (setukpairinjL1 = $true) & (binunionTEcontra = $true) & (image1I = $true) & (iftrueProp1 = $true) & (binintersectTERcontra = $true) & (iffalse = $true) & (doubleComplementSub2 = $true) & (beta2 = $true) & (binunionTIRcontra = $true) & (lamProp = $true) & (prop2set2propI = $true) & (woz13rule3 = $true)),
% 2.05/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1023,sK1024])],[f1178,f3094,f3093])).
% 2.05/0.62 thf(f3093,plain,(
% 2.05/0.62 ? [X0] : (? [X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) & ((ordinal @ X0) = $true)) => (? [X1] : (($true = (in @ sK1023 @ X1)) & ((in @ X1 @ sK1023) = $true)) & ($true = (ordinal @ sK1023)))),
% 2.05/0.62 introduced(choice_axiom,[])).
% 2.05/0.62 thf(f3094,plain,(
% 2.05/0.62 ? [X1] : (($true = (in @ sK1023 @ X1)) & ((in @ X1 @ sK1023) = $true)) => (((in @ sK1023 @ sK1024) = $true) & ($true = (in @ sK1024 @ sK1023)))),
% 2.05/0.62 introduced(choice_axiom,[])).
% 2.05/0.62 thf(f1178,plain,(
% 2.05/0.62 (cartprodsndin = $true) & (setextAx = $true) & (subsetI2 = $true) & (foundation2 = $true) & (woz13rule2 = $true) & (upairsetE = $true) & (notequalI1 = $true) & (setadjoin__Cong = $true) & (image1Equiv = $true) & (ifp = $true) & (notdallE = $true) & (sepInPowerset = $true) & (complementImpComplementIntersect = $true) & (omegaSclos = $true) & (replAx = $true) & (dpsetconstrER = $true) & (breln1unionprop = $true) & (breln1unionCommutes = $true) & (setukpairinjR11 = $true) & (symdiffIneg2 = $true) & (binintersectLsub = $true) & (setextsub = $true) & (powersetI1 = $true) & (subbreln1 = $true) & (disjointsetsI1 = $true) & (descr__Cong = $true) & (symdiffIneg1 = $true) & (breln1invE = $true) & (doubleComplementI1 = $true) & (subbreln = $true) & (subsetTI = $true) & (iftrueorfalse = $true) & (notinself = $true) & (exuI3 = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (demorgan1b = $true) & (injFuncInInjFuncSet = $true) & (powersetE = $true) & (nonemptyI = $true) & (funcGraphProp1 = $true) & (setOfPairsIsBReln1 = $true) & (dpsetconstrI = $true) & (dsetconstrEL = $true) & (subsetI1 = $true) & (complementTcontraSubset = $true) & (ubforcartprodlem2 = $true) & (setminusER = $true) & (dsetconstrER = $true) & (inComplementUnionImpNotIn1 = $true) & (kpairsurjEq = $true) & (cartprodsndpairEq = $true) & (woz1_5 = $true) & (binunionE = $true) & (symdiffE = $true) & (ubforcartprodlem1 = $true) & (breln1unionEcases = $true) & (binintersectSubset1 = $true) & (apProp = $true) & (notinemptyset = $true) & (exuEu = $true) & (woz1_4 = $true) & (cartprodpairsurjEq = $true) & (eqinunit = $true) & (infuncsetfunc = $true) & (omega0Ax = $true) & (binunionEcases = $true) & (ap2apEq2 = $true) & (eqbreln = $true) & (lamp = $true) & (peanoSinj = $true) & (powerset__Cong = $true) & (leftInvIsSurj = $true) & (ex1E2 = $true) & (setunionsingleton2 = $true) & (setunionOrdinalLem1 = $true) & (cartprodmempaircEq = $true) & (breln1unionE = $true) & (inIntersectImpInIntersectUnions = $true) & (binunionIR = $true) & (notdexE = $true) & (doubleComplementSub1 = $true) & (subPowSU = $true) & (ap2apEq1 = $true) & (demorgan1 = $true) & (setukpairinjR2 = $true) & (woz2W = $true) & (notinself2 = $true) & (emptysetimpfalse = $true) & (setunionAx = $true) & (upairinpowunion = $true) & (setunionI = $true) & (powersetTI1 = $true) & (upairsetIR = $true) & (lam2p = $true) & (eta1 = $true) & (exu__Cong = $true) & (dsetconstr__Cong = $true) & (setukpairIL = $true) & (breln1compEex = $true) & (subset2powerset = $true) & (setadjoinIL = $true) & (setoftrueEq = $true) & (breln1unionI = $true) & (emptyinPowerset = $true) & (woz1_1 = $true) & (kfstpairEq = $true) & (setadjoinIR = $true) & (setadjoinOr = $true) & (theprop = $true) & (symdiffI2 = $true) & (setminusLsub = $true) & (prop2setI = $true) & (eqimpsubset1 = $true) & (inCongP = $true) & (ubforcartprodlem3 = $true) & (funcinfuncset = $true) & (inIntersectImpInUnion = $true) & (ksndpairEq = $true) & (omega__Cong = $true) & (complementTnotintersectT = $true) & (contrasubsetT = $true) & (cartprodpairmemER = $true) & (singletonsubset = $true) & (sepSubset = $true) & (upairset2IR = $true) & (cartprodpairmemEL = $true) & (in__Cong = $true) & (dpsetconstrERa = $true) & (binintersectEL = $true) & (quantDeMorgan4 = $true) & (binunionT_lem = $true) & (ap2p = $true) & (breln1unionIL = $true) & (exuI1 = $true) & (complementT_lem = $true) & (complementTE1 = $true) & (breln1SetBreln1 = $true) & (contraSubsetComplement = $true) & (setadjoinE = $true) & (inPowerset = $true) & (noeltsimpempty = $true) & (funcGraphProp3 = $true) & (omegaSp = $true) & (ordinalTransSet = $true) & (binintersectRsub = $true) & (injFuncSetFuncIn = $true) & (singletonprop = $true) & (setminusT_lem = $true) & (contrasubsetT1 = $true) & (setminusILneg = $true) & (funcGraphProp4 = $true) & (subsetE2 = $true) & (cartprodmempair1 = $true) & (complementTI1 = $true) & (kfstsingleton = $true) & (funcImageSingleton = $true) & (breln1invI = $true) & (complementInPowersetComplementIntersect = $true) & (setext = $true) & (wellorderingAx = $true) & (eqbreln1 = $true) & (binunionTILcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (singletonsswitch = $true) & (setunionE2 = $true) & (image1Ex1 = $true) & (bs114d = $true) & (kpairp = $true) & (symdiffI1 = $true) & (notinsingleton = $true) & (funcextLem = $true) & (ex1I = $true) & (binintersectSubset5 = $true) & (demorgan2a1 = $true) & (singletoninpowerset = $true) & (upairset2E = $true) & (setukpairinjR1 = $true) & (descrp = $true) & (choice2fnsingleton = $true) & (setminusEL = $true) & (binintersectER = $true) & (emptyI = $true) & (setukpairIR = $true) & (demorgan1a = $true) & (upairequniteq = $true) & (ifSingleton = $true) & (powersetE1 = $true) & (complementUnionInPowersetComplement = $true) & (lam2lamEq = $true) & (cartprodmempair = $true) & (binunionRsub = $true) & (singletonsuniq = $true) & (setminusELneg = $true) & (binintersectI = $true) & (setminusERneg = $true) & (subsetRefl = $true) & (complementSubsetComplementIntersect = $true) & (singletoninpowunion = $true) & (powersetAx = $true) & (exuI2 = $true) & (demorgan2b2 = $true) & (powersetI = $true) & (transitivesetOp1 = $true) & (iftrue = $true) & (brelnall1 = $true) & (setminusIRneg = $true) & (iftrueProp2 = $true) & (eta2 = $true) & (vacuousDall = $true) & (funcext2 = $true) & (brelnall2 = $true) & (dpsetconstrEL1 = $true) & (quantDeMorgan3 = $true) & (secondinupair = $true) & (setextT = $true) & (contrasubsetT2 = $true) & (inIntersectImpInUnion2 = $true) & (setadjoinAx = $true) & (demorgan2b = $true) & (breln1all1 = $true) & (intersectInPowersetIntersectUnions = $true) & (powersetsubset = $true) & (dpsetconstrSub = $true) & (setadjoinSub = $true) & (upairsetIL = $true) & (dpsetconstrEL2 = $true) & (iffalseProp2 = $true) & (surjFuncSetFuncSurj = $true) & (emptysetE = $true) & (setminusI = $true) & (cartprodfstpairEq = $true) & (breln1compE = $true) & (subsetE = $true) & (binintersectTELcontra = $true) & (surjCantorThm = $true) & (binunionIL = $true) & (demorgan2a = $true) & (woz1_2 = $true) & (woz13rule4 = $true) & (setunionsingleton = $true) & (emptysetAx = $true) & (doubleComplementE1 = $true) & (foundationAx = $true) & (breln1compI = $true) & (binintTransitive = $true) & (contrasubsetT3 = $true) & (notsubsetI = $true) & (breln1all2 = $true) & (quantDeMorgan1 = $true) & (setunionE = $true) & (funcGraphProp2 = $true) & (funcext = $true) & (nonemptyE1 = $true) & (powersetTE1 = $true) & (subsetemptysetimpeq = $true) & ? [X0] : (? [X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) & ((ordinal @ X0) = $true)) & (emptysetsubset = $true) & (dsetconstrI = $true) & (emptyInPowerset = $true) & (exuE2 = $true) & (transitivesetOp2 = $true) & (setOfPairsIsBReln = $true) & (upairsubunion = $true) & (ex1E1 = $true) & (prop2setE = $true) & (binunionLsub = $true) & (eqimpsubset2 = $true) & (breln1unionIR = $true) & (app = $true) & (nonemptyImpWitness = $true) & (setminusSubset1 = $true) & (binunionTE = $true) & (setunion__Cong = $true) & (setukpairinjL = $true) & (woz2B = $true) & (ordinalIrrefl = $true) & (omegaSAx = $true) & (ordinalTransSet1 = $true) & (breln1invprop = $true) & (setunionsingleton1 = $true) & (iffalseProp1 = $true) & (doubleComplementEq = $true) & (exuE3u = $true) & (cartprodfstin = $true) & (image1Ex = $true) & (binintersectSubset3 = $true) & (setminusSubset2 = $true) & (emptyset__Cong = $true) & (powersetT_lem = $true) & (setadjoinSub2 = $true) & (demorgan2 = $true) & (quantDeMorgan2 = $true) & (subsetTrans = $true) & (woz2Ex = $true) & (peano0notS = $true) & (kpairiskpair = $true) & (omegaIndAx = $true) & (binintersectT_lem = $true) & (theeq = $true) & (image1E = $true) & (breln1compprop = $true) & (woz13rule0 = $true) & (beta1 = $true) & (binintersectSubset4 = $true) & (uniqinunit = $true) & (demorgan2a2 = $true) & (ordinalIrrefl2 = $true) & (exuE3e = $true) & (woz1_3 = $true) & (nonemptyI1 = $true) & (binintersectSubset2 = $true) & (notequalI2 = $true) & (exuE1 = $true) & (injFuncSetFuncInj = $true) & (emptyE1 = $true) & (cartprodpairin = $true) & (ordinalMinLem1 = $true) & (ksndsingleton = $true) & (emptyinunitempty = $true) & (surjFuncSetFuncIn = $true) & (woz2A = $true) & (setbeta = $true) & (ex1I2 = $true) & (setukpairinjR = $true) & (woz13rule1 = $true) & (setunionTransitive = $true) & (emptysetOrdinal = $true) & (setukpairinjL1 = $true) & (binunionTEcontra = $true) & (image1I = $true) & (iftrueProp1 = $true) & (binintersectTERcontra = $true) & (iffalse = $true) & (doubleComplementSub2 = $true) & (beta2 = $true) & (binunionTIRcontra = $true) & (lamProp = $true) & (prop2set2propI = $true) & (woz13rule3 = $true)),
% 2.05/0.62 inference(flattening,[],[f1177])).
% 2.05/0.62 thf(f1177,plain,(
% 2.05/0.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) & ((ordinal @ X0) = $true)) & (ordinalIrrefl2 = $true)) & (ordinalIrrefl = $true)) & (emptysetOrdinal = $true)) & (setunionOrdinalLem1 = $true)) & (ordinalTransSet1 = $true)) & (ordinalTransSet = $true)) & (ordinalMinLem1 = $true)) & (setunionTransitive = $true)) & (transitivesetOp2 = $true)) & (binintTransitive = $true)) & (transitivesetOp1 = $true)) & (peanoSinj = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $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)),
% 2.05/0.62 inference(ennf_transformation,[],[f1081])).
% 2.05/0.62 thf(f1081,plain,(
% 2.05/0.62 ~((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) => 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= $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ((binintTransitive = $true) => ((transitivesetOp2 = $true) => ((setunionTransitive = $true) => ((ordinalMinLem1 = $true) => ((ordinalTransSet = $true) => ((ordinalTransSet1 = $true) => ((setunionOrdinalLem1 = $true) => ((emptysetOrdinal = $true) => ((ordinalIrrefl = $true) => ((ordinalIrrefl2 = $true) => ! [X0] : (((ordinal @ X0) = $true) => ! [X1] : (($true = (in @ X0 @ X1)) => ((in @ X1 @ X0) != $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.05/0.62 inference(flattening,[],[f928])).
% 2.05/0.62 thf(f928,plain,(
% 2.05/0.62 ~((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) => 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[X0] : (((ordinal @ X0) = $true) => ! [X1] : (($true = (in @ X0 @ X1)) => ~((in @ X1 @ X0) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.05/0.62 inference(fool_elimination,[],[f927])).
% 2.05/0.62 thf(f927,plain,(
% 2.05/0.62 ~(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 => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => (ordinalIrrefl => (ordinalIrrefl2 => ! [X0] : ((ordinal @ X0) => ! [X1] : ((in @ X0 @ X1) => ~(in @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.05/0.62 inference(rectify,[],[f345])).
% 2.05/0.62 thf(f345,negated_conjecture,(
% 2.05/0.62 ~(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 => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => (ordinalIrrefl => (ordinalIrrefl2 => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X11 @ X3) => ~(in @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.05/0.62 inference(negated_conjecture,[],[f344])).
% 2.05/0.62 thf(f344,conjecture,(
% 2.05/0.62 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 => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => (ordinalIrrefl => (ordinalIrrefl2 => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X11 @ X3) => ~(in @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.05/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalNoCycle)).
% 2.05/0.62 thf(f5331,plain,(
% 2.05/0.62 ((in @ sK1023 @ sK1024) != $true)),
% 2.05/0.62 inference(trivial_inequality_removal,[],[f5330])).
% 2.05/0.62 thf(f5330,plain,(
% 2.05/0.62 ((in @ sK1023 @ sK1024) != $true) | ($true != $true)),
% 2.05/0.62 inference(forward_demodulation,[],[f5309,f4898])).
% 2.05/0.62 thf(f4898,plain,(
% 2.05/0.62 (notinself2 = $true)),
% 2.05/0.62 inference(cnf_transformation,[],[f3095])).
% 2.05/0.62 thf(f5309,plain,(
% 2.05/0.62 ((in @ sK1023 @ sK1024) != $true) | (notinself2 != $true)),
% 2.05/0.62 inference(trivial_inequality_removal,[],[f5307])).
% 2.05/0.62 thf(f5307,plain,(
% 2.05/0.62 ($true != $true) | ((in @ sK1023 @ sK1024) != $true) | (notinself2 != $true)),
% 2.05/0.62 inference(superposition,[],[f4617,f4728])).
% 2.05/0.62 thf(f4728,plain,(
% 2.05/0.62 ($true = (in @ sK1024 @ sK1023))),
% 2.05/0.62 inference(cnf_transformation,[],[f3095])).
% 2.05/0.62 thf(f4617,plain,(
% 2.05/0.62 ( ! [X2 : $i,X3 : $i] : (($true != (in @ X3 @ X2)) | (notinself2 != $true) | ((in @ X2 @ X3) != $true)) )),
% 2.05/0.62 inference(cnf_transformation,[],[f3069])).
% 2.05/0.62 thf(f3069,plain,(
% 2.05/0.62 ((notinself2 = $true) | (((in @ sK1005 @ sK1006) = $true) & ((in @ sK1006 @ sK1005) = $true))) & (! [X2,X3] : (((in @ X2 @ X3) != $true) | ($true != (in @ X3 @ X2))) | (notinself2 != $true))),
% 2.05/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1005,sK1006])],[f3067,f3068])).
% 2.05/0.62 thf(f3068,plain,(
% 2.05/0.62 ? [X0,X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true)) => (((in @ sK1005 @ sK1006) = $true) & ((in @ sK1006 @ sK1005) = $true))),
% 2.05/0.62 introduced(choice_axiom,[])).
% 2.05/0.62 thf(f3067,plain,(
% 2.05/0.62 ((notinself2 = $true) | ? [X0,X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true))) & (! [X2,X3] : (((in @ X2 @ X3) != $true) | ($true != (in @ X3 @ X2))) | (notinself2 != $true))),
% 2.05/0.62 inference(rectify,[],[f3066])).
% 2.05/0.62 thf(f3066,plain,(
% 2.05/0.62 ((notinself2 = $true) | ? [X0,X1] : (($true = (in @ X0 @ X1)) & ((in @ X1 @ X0) = $true))) & (! [X0,X1] : (($true != (in @ X0 @ X1)) | ((in @ X1 @ X0) != $true)) | (notinself2 != $true))),
% 2.05/0.62 inference(nnf_transformation,[],[f1264])).
% 2.05/0.62 thf(f1264,plain,(
% 2.05/0.62 (notinself2 = $true) <=> ! [X0,X1] : (($true != (in @ X0 @ X1)) | ((in @ X1 @ X0) != $true))),
% 2.05/0.62 inference(ennf_transformation,[],[f1052])).
% 2.05/0.62 thf(f1052,plain,(
% 2.05/0.62 ! [X0,X1] : (($true = (in @ X0 @ X1)) => ((in @ X1 @ X0) != $true)) <=> (notinself2 = $true)),
% 2.05/0.62 inference(flattening,[],[f581])).
% 2.05/0.62 thf(f581,plain,(
% 2.05/0.62 ! [X0,X1] : (($true = (in @ X0 @ X1)) => ~((in @ X1 @ X0) = $true)) <=> (notinself2 = $true)),
% 2.05/0.62 inference(fool_elimination,[],[f580])).
% 2.05/0.62 thf(f580,plain,(
% 2.05/0.62 (! [X0,X1] : ((in @ X0 @ X1) => ~(in @ X1 @ X0)) = notinself2)),
% 2.05/0.62 inference(rectify,[],[f325])).
% 2.05/0.62 thf(f325,axiom,(
% 2.05/0.62 (! [X3,X4] : ((in @ X3 @ X4) => ~(in @ X4 @ X3)) = notinself2)),
% 2.05/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself2)).
% 2.05/0.62 % SZS output end Proof for theBenchmark
% 2.05/0.62 % (30529)------------------------------
% 2.05/0.62 % (30529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.05/0.62 % (30529)Termination reason: Refutation
% 2.05/0.62
% 2.05/0.62 % (30529)Memory used [KB]: 11897
% 2.05/0.62 % (30529)Time elapsed: 0.163 s
% 2.05/0.62 % (30529)Instructions burned: 453 (million)
% 2.05/0.62 % (30529)------------------------------
% 2.05/0.62 % (30529)------------------------------
% 2.05/0.62 % (30506)Success in time 0.265 s
% 2.06/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------