TSTP Solution File: SEU821^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU821^1 : 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 : n017.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 03:51:49 EDT 2024
% Result : Theorem 1.98s 0.67s
% Output : Refutation 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU821^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 16:03:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 % (17243)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)
% 0.22/0.41 % (17245)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)
% 0.22/0.41 % (17244)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (17242)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)
% 0.22/0.41 % (17246)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)
% 0.22/0.41 % (17248)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)
% 0.22/0.41 % (17244)Instruction limit reached!
% 0.22/0.41 % (17244)------------------------------
% 0.22/0.41 % (17244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17244)Termination reason: Unknown
% 0.22/0.41 % (17244)Termination phase: shuffling
% 0.22/0.41 % (17245)Instruction limit reached!
% 0.22/0.41 % (17245)------------------------------
% 0.22/0.41 % (17245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17245)Termination reason: Unknown
% 0.22/0.41 % (17245)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (17245)Memory used [KB]: 1663
% 0.22/0.41 % (17245)Time elapsed: 0.003 s
% 0.22/0.41 % (17245)Instructions burned: 2 (million)
% 0.22/0.41 % (17245)------------------------------
% 0.22/0.41 % (17245)------------------------------
% 0.22/0.41
% 0.22/0.41 % (17244)Memory used [KB]: 1663
% 0.22/0.41 % (17244)Time elapsed: 0.003 s
% 0.22/0.41 % (17244)Instructions burned: 2 (million)
% 0.22/0.41 % (17244)------------------------------
% 0.22/0.41 % (17244)------------------------------
% 0.22/0.41 % (17248)Instruction limit reached!
% 0.22/0.41 % (17248)------------------------------
% 0.22/0.41 % (17248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17248)Termination reason: Unknown
% 0.22/0.41 % (17248)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (17248)Memory used [KB]: 1663
% 0.22/0.41 % (17248)Time elapsed: 0.004 s
% 0.22/0.41 % (17248)Instructions burned: 3 (million)
% 0.22/0.41 % (17248)------------------------------
% 0.22/0.41 % (17248)------------------------------
% 0.22/0.41 % (17242)Instruction limit reached!
% 0.22/0.41 % (17242)------------------------------
% 0.22/0.41 % (17242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17242)Termination reason: Unknown
% 0.22/0.41 % (17242)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (17242)Memory used [KB]: 1791
% 0.22/0.41 % (17242)Time elapsed: 0.005 s
% 0.22/0.41 % (17242)Instructions burned: 5 (million)
% 0.22/0.41 % (17242)------------------------------
% 0.22/0.41 % (17242)------------------------------
% 0.22/0.42 % (17241)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.42 % (17247)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.43 % (17243)Instruction limit reached!
% 0.22/0.43 % (17243)------------------------------
% 0.22/0.43 % (17243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17243)Termination reason: Unknown
% 0.22/0.43 % (17243)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (17243)Memory used [KB]: 2174
% 0.22/0.43 % (17243)Time elapsed: 0.024 s
% 0.22/0.43 % (17243)Instructions burned: 27 (million)
% 0.22/0.43 % (17243)------------------------------
% 0.22/0.43 % (17243)------------------------------
% 0.22/0.43 % (17250)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)
% 0.22/0.43 % (17252)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)
% 0.22/0.44 % (17259)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)
% 0.22/0.44 % (17260)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)
% 0.22/0.44 % (17247)Instruction limit reached!
% 0.22/0.44 % (17247)------------------------------
% 0.22/0.44 % (17247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (17247)Termination reason: Unknown
% 0.22/0.44 % (17247)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (17247)Memory used [KB]: 2046
% 0.22/0.44 % (17247)Time elapsed: 0.021 s
% 0.22/0.44 % (17247)Instructions burned: 18 (million)
% 0.22/0.44 % (17247)------------------------------
% 0.22/0.44 % (17247)------------------------------
% 0.22/0.44 % (17259)Instruction limit reached!
% 0.22/0.44 % (17259)------------------------------
% 0.22/0.44 % (17259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (17259)Termination reason: Unknown
% 0.22/0.44 % (17259)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (17259)Memory used [KB]: 1663
% 0.22/0.44 % (17259)Time elapsed: 0.006 s
% 0.22/0.44 % (17259)Instructions burned: 3 (million)
% 0.22/0.44 % (17259)------------------------------
% 0.22/0.44 % (17259)------------------------------
% 0.22/0.45 % (17252)Instruction limit reached!
% 0.22/0.45 % (17252)------------------------------
% 0.22/0.45 % (17252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (17252)Termination reason: Unknown
% 0.22/0.45 % (17252)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (17252)Memory used [KB]: 1918
% 0.22/0.45 % (17252)Time elapsed: 0.018 s
% 0.22/0.45 % (17252)Instructions burned: 15 (million)
% 0.22/0.45 % (17252)------------------------------
% 0.22/0.45 % (17252)------------------------------
% 0.22/0.46 % (17261)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.46 % (17261)Instruction limit reached!
% 0.22/0.46 % (17261)------------------------------
% 0.22/0.46 % (17261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (17261)Termination reason: Unknown
% 0.22/0.46 % (17261)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (17261)Memory used [KB]: 1791
% 0.22/0.46 % (17261)Time elapsed: 0.009 s
% 0.22/0.46 % (17261)Instructions burned: 7 (million)
% 0.22/0.46 % (17261)------------------------------
% 0.22/0.46 % (17261)------------------------------
% 0.22/0.46 % (17262)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.46 % (17263)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)
% 0.22/0.47 % (17250)Instruction limit reached!
% 0.22/0.47 % (17250)------------------------------
% 0.22/0.47 % (17250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17250)Termination reason: Unknown
% 0.22/0.47 % (17250)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (17250)Memory used [KB]: 2430
% 0.22/0.47 % (17250)Time elapsed: 0.035 s
% 0.22/0.47 % (17250)Instructions burned: 37 (million)
% 0.22/0.47 % (17250)------------------------------
% 0.22/0.47 % (17250)------------------------------
% 0.22/0.47 % (17263)Instruction limit reached!
% 0.22/0.47 % (17263)------------------------------
% 0.22/0.47 % (17263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17263)Termination reason: Unknown
% 0.22/0.47 % (17263)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (17263)Memory used [KB]: 1663
% 0.22/0.47 % (17263)Time elapsed: 0.006 s
% 0.22/0.47 % (17263)Instructions burned: 3 (million)
% 0.22/0.47 % (17263)------------------------------
% 0.22/0.47 % (17263)------------------------------
% 0.22/0.48 % (17264)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)
% 0.22/0.48 % (17262)Instruction limit reached!
% 0.22/0.48 % (17262)------------------------------
% 0.22/0.48 % (17262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (17262)Termination reason: Unknown
% 0.22/0.48 % (17262)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (17262)Memory used [KB]: 1918
% 0.22/0.48 % (17262)Time elapsed: 0.016 s
% 0.22/0.48 % (17262)Instructions burned: 16 (million)
% 0.22/0.48 % (17262)------------------------------
% 0.22/0.48 % (17262)------------------------------
% 0.22/0.48 % (17264)Instruction limit reached!
% 0.22/0.48 % (17264)------------------------------
% 0.22/0.48 % (17264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (17264)Termination reason: Unknown
% 0.22/0.48 % (17264)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (17264)Memory used [KB]: 1663
% 0.22/0.48 % (17264)Time elapsed: 0.005 s
% 0.22/0.48 % (17264)Instructions burned: 3 (million)
% 0.22/0.48 % (17264)------------------------------
% 0.22/0.48 % (17264)------------------------------
% 0.22/0.49 % (17265)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)
% 0.22/0.49 % (17266)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)
% 0.22/0.49 % (17267)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.22/0.49 % (17266)Instruction limit reached!
% 0.22/0.49 % (17266)------------------------------
% 0.22/0.49 % (17266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (17266)Termination reason: Unknown
% 0.22/0.49 % (17266)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (17266)Memory used [KB]: 1663
% 0.22/0.49 % (17266)Time elapsed: 0.006 s
% 0.22/0.50 % (17266)Instructions burned: 4 (million)
% 0.22/0.50 % (17266)------------------------------
% 0.22/0.50 % (17266)------------------------------
% 0.22/0.50 % (17265)Instruction limit reached!
% 0.22/0.50 % (17265)------------------------------
% 0.22/0.50 % (17265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (17265)Termination reason: Unknown
% 0.22/0.50 % (17265)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (17265)Memory used [KB]: 1791
% 0.22/0.50 % (17265)Time elapsed: 0.009 s
% 0.22/0.50 % (17267)Instruction limit reached!
% 0.22/0.50 % (17267)------------------------------
% 0.22/0.50 % (17267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (17267)Termination reason: Unknown
% 0.22/0.50 % (17267)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (17267)Memory used [KB]: 1791
% 0.22/0.50 % (17267)Time elapsed: 0.006 s
% 0.22/0.50 % (17267)Instructions burned: 4 (million)
% 0.22/0.50 % (17267)------------------------------
% 0.22/0.50 % (17267)------------------------------
% 0.22/0.50 % (17265)Instructions burned: 7 (million)
% 0.22/0.50 % (17265)------------------------------
% 0.22/0.50 % (17265)------------------------------
% 0.22/0.50 % (17271)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.22/0.50 % (17270)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 (2998ds/18Mi)
% 0.22/0.51 % (17270)Instruction limit reached!
% 0.22/0.51 % (17270)------------------------------
% 0.22/0.51 % (17270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (17270)Termination reason: Unknown
% 0.22/0.51 % (17270)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (17270)Memory used [KB]: 2046
% 0.22/0.51 % (17270)Time elapsed: 0.014 s
% 0.22/0.51 % (17270)Instructions burned: 19 (million)
% 0.22/0.51 % (17270)------------------------------
% 0.22/0.51 % (17270)------------------------------
% 0.22/0.51 % (17272)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.52 % (17272)Instruction limit reached!
% 0.22/0.52 % (17272)------------------------------
% 0.22/0.52 % (17272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (17272)Termination reason: Unknown
% 0.22/0.52 % (17272)Termination phase: shuffling
% 0.22/0.52 % (17273)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 (2998ds/902Mi)
% 0.22/0.52
% 0.22/0.52 % (17272)Memory used [KB]: 1791
% 0.22/0.52 % (17272)Time elapsed: 0.006 s
% 0.22/0.52 % (17272)Instructions burned: 7 (million)
% 0.22/0.52 % (17272)------------------------------
% 0.22/0.52 % (17272)------------------------------
% 0.22/0.52 % (17274)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)
% 0.22/0.53 % (17275)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.22/0.53 % (17241)Instruction limit reached!
% 0.22/0.53 % (17241)------------------------------
% 0.22/0.53 % (17241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (17241)Termination reason: Unknown
% 0.22/0.53 % (17241)Termination phase: Property scanning
% 0.22/0.53
% 0.22/0.53 % (17241)Memory used [KB]: 3198
% 0.22/0.53 % (17241)Time elapsed: 0.115 s
% 0.22/0.53 % (17241)Instructions burned: 184 (million)
% 0.22/0.53 % (17241)------------------------------
% 0.22/0.53 % (17241)------------------------------
% 0.22/0.53 % (17274)Instruction limit reached!
% 0.22/0.53 % (17274)------------------------------
% 0.22/0.53 % (17274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (17274)Termination reason: Unknown
% 0.22/0.53 % (17274)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (17274)Memory used [KB]: 2046
% 0.22/0.53 % (17274)Time elapsed: 0.013 s
% 0.22/0.53 % (17274)Instructions burned: 22 (million)
% 0.22/0.53 % (17274)------------------------------
% 0.22/0.53 % (17274)------------------------------
% 0.22/0.53 % (17275)Instruction limit reached!
% 0.22/0.53 % (17275)------------------------------
% 0.22/0.53 % (17275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (17275)Termination reason: Unknown
% 0.22/0.53 % (17275)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (17275)Memory used [KB]: 1791
% 0.22/0.53 % (17275)Time elapsed: 0.005 s
% 0.22/0.53 % (17275)Instructions burned: 6 (million)
% 0.22/0.53 % (17275)------------------------------
% 0.22/0.53 % (17275)------------------------------
% 0.22/0.53 % (17276)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)
% 0.22/0.53 % (17276)Instruction limit reached!
% 0.22/0.53 % (17276)------------------------------
% 0.22/0.53 % (17276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (17276)Termination reason: Unknown
% 0.22/0.53 % (17276)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (17276)Memory used [KB]: 1791
% 0.22/0.53 % (17276)Time elapsed: 0.005 s
% 0.22/0.53 % (17276)Instructions burned: 7 (million)
% 0.22/0.53 % (17276)------------------------------
% 0.22/0.53 % (17276)------------------------------
% 0.22/0.54 % (17277)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.54 % (17278)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)
% 0.22/0.54 % (17279)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)
% 0.22/0.55 % (17280)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)
% 0.22/0.55 % (17279)Instruction limit reached!
% 0.22/0.55 % (17279)------------------------------
% 0.22/0.55 % (17279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (17279)Termination reason: Unknown
% 0.22/0.55 % (17279)Termination phase: shuffling
% 0.22/0.55
% 0.22/0.55 % (17279)Memory used [KB]: 2046
% 0.22/0.55 % (17279)Time elapsed: 0.011 s
% 0.22/0.55 % (17279)Instructions burned: 20 (million)
% 0.22/0.55 % (17279)------------------------------
% 0.22/0.55 % (17279)------------------------------
% 0.22/0.57 % (17281)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.57 % (17281)Instruction limit reached!
% 0.22/0.57 % (17281)------------------------------
% 0.22/0.57 % (17281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (17281)Termination reason: Unknown
% 0.22/0.57 % (17281)Termination phase: shuffling
% 0.22/0.57
% 0.22/0.57 % (17281)Memory used [KB]: 2046
% 0.22/0.57 % (17281)Time elapsed: 0.008 s
% 0.22/0.57 % (17281)Instructions burned: 18 (million)
% 0.22/0.57 % (17281)------------------------------
% 0.22/0.57 % (17281)------------------------------
% 0.22/0.58 % (17246)Instruction limit reached!
% 0.22/0.58 % (17246)------------------------------
% 0.22/0.58 % (17246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (17246)Termination reason: Unknown
% 0.22/0.58 % (17246)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (17246)Memory used [KB]: 6140
% 0.22/0.58 % (17246)Time elapsed: 0.175 s
% 0.22/0.58 % (17246)Instructions burned: 276 (million)
% 0.22/0.58 % (17246)------------------------------
% 0.22/0.58 % (17246)------------------------------
% 0.22/0.58 % (17282)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 0.22/0.59 % (17282)Instruction limit reached!
% 0.22/0.59 % (17282)------------------------------
% 0.22/0.59 % (17282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.59 % (17282)Termination reason: Unknown
% 0.22/0.59 % (17282)Termination phase: shuffling
% 0.22/0.59
% 0.22/0.59 % (17282)Memory used [KB]: 1791
% 0.22/0.59 % (17282)Time elapsed: 0.003 s
% 0.22/0.59 % (17282)Instructions burned: 4 (million)
% 0.22/0.59 % (17282)------------------------------
% 0.22/0.59 % (17282)------------------------------
% 0.22/0.59 % (17283)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 0.22/0.59 % (17284)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 1.78/0.60 % (17283)Instruction limit reached!
% 1.78/0.60 % (17283)------------------------------
% 1.78/0.60 % (17283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.60 % (17283)Termination reason: Unknown
% 1.78/0.60 % (17283)Termination phase: shuffling
% 1.78/0.60
% 1.78/0.60 % (17283)Memory used [KB]: 2302
% 1.78/0.60 % (17283)Time elapsed: 0.011 s
% 1.78/0.60 % (17283)Instructions burned: 32 (million)
% 1.78/0.60 % (17283)------------------------------
% 1.78/0.60 % (17283)------------------------------
% 1.78/0.61 % (17285)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.98/0.63 % (17284)Instruction limit reached!
% 1.98/0.63 % (17284)------------------------------
% 1.98/0.63 % (17284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.63 % (17284)Termination reason: Unknown
% 1.98/0.63 % (17284)Termination phase: Property scanning
% 1.98/0.63
% 1.98/0.63 % (17284)Memory used [KB]: 3070
% 1.98/0.63 % (17284)Time elapsed: 0.037 s
% 1.98/0.63 % (17284)Instructions burned: 130 (million)
% 1.98/0.63 % (17284)------------------------------
% 1.98/0.63 % (17284)------------------------------
% 1.98/0.64 % (17285)Instruction limit reached!
% 1.98/0.64 % (17285)------------------------------
% 1.98/0.64 % (17285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.64 % (17285)Termination reason: Unknown
% 1.98/0.64 % (17285)Termination phase: Naming
% 1.98/0.64
% 1.98/0.64 % (17285)Memory used [KB]: 2942
% 1.98/0.64 % (17285)Time elapsed: 0.030 s
% 1.98/0.64 % (17285)Instructions burned: 102 (million)
% 1.98/0.64 % (17285)------------------------------
% 1.98/0.64 % (17285)------------------------------
% 1.98/0.64 % (17286)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)
% 1.98/0.64 % (17286)Instruction limit reached!
% 1.98/0.64 % (17286)------------------------------
% 1.98/0.64 % (17286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.64 % (17286)Termination reason: Unknown
% 1.98/0.64 % (17286)Termination phase: shuffling
% 1.98/0.64
% 1.98/0.64 % (17286)Memory used [KB]: 1663
% 1.98/0.64 % (17286)Time elapsed: 0.003 s
% 1.98/0.64 % (17286)Instructions burned: 5 (million)
% 1.98/0.64 % (17286)------------------------------
% 1.98/0.64 % (17286)------------------------------
% 1.98/0.65 % (17287)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)
% 1.98/0.65 % (17288)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)
% 1.98/0.65 % (17287)Instruction limit reached!
% 1.98/0.65 % (17287)------------------------------
% 1.98/0.65 % (17287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.65 % (17287)Termination reason: Unknown
% 1.98/0.65 % (17287)Termination phase: shuffling
% 1.98/0.65
% 1.98/0.65 % (17287)Memory used [KB]: 2046
% 1.98/0.65 % (17287)Time elapsed: 0.009 s
% 1.98/0.65 % (17287)Instructions burned: 22 (million)
% 1.98/0.65 % (17287)------------------------------
% 1.98/0.65 % (17287)------------------------------
% 1.98/0.66 % (17277)Instruction limit reached!
% 1.98/0.66 % (17277)------------------------------
% 1.98/0.66 % (17277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.66 % (17277)Termination reason: Unknown
% 1.98/0.66 % (17277)Termination phase: Saturation
% 1.98/0.66
% 1.98/0.66 % (17277)Memory used [KB]: 9594
% 1.98/0.66 % (17277)Time elapsed: 0.117 s
% 1.98/0.66 % (17277)Instructions burned: 378 (million)
% 1.98/0.66 % (17277)------------------------------
% 1.98/0.66 % (17277)------------------------------
% 1.98/0.66 % (17289)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)
% 1.98/0.67 % (17271)First to succeed.
% 1.98/0.67 % (17290)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.98/0.67 % (17271)Refutation found. Thanks to Tanya!
% 1.98/0.67 % SZS status Theorem for theBenchmark
% 1.98/0.67 % SZS output start Proof for theBenchmark
% 1.98/0.67 thf(func_def_0, type, in: $i > $i > $o).
% 1.98/0.67 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.98/0.67 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.98/0.67 thf(func_def_8, type, powerset: $i > $i).
% 1.98/0.67 thf(func_def_10, type, setunion: $i > $i).
% 1.98/0.67 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_26, type, prop2set: $o > $i).
% 1.98/0.67 thf(func_def_36, type, nonempty: $i > $o).
% 1.98/0.67 thf(func_def_69, type, set2prop: $i > $o).
% 1.98/0.67 thf(func_def_88, type, subset: $i > $i > $o).
% 1.98/0.67 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.98/0.67 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.98/0.67 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.98/0.67 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.98/0.67 thf(func_def_135, type, regular: $i > $o).
% 1.98/0.67 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.98/0.67 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.98/0.67 thf(func_def_153, type, iskpair: $i > $o).
% 1.98/0.67 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.98/0.67 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.98/0.67 thf(func_def_177, type, singleton: $i > $o).
% 1.98/0.67 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.98/0.67 thf(func_def_184, type, atmost1p: $i > $o).
% 1.98/0.67 thf(func_def_185, type, atleast2p: $i > $o).
% 1.98/0.67 thf(func_def_186, type, atmost2p: $i > $o).
% 1.98/0.67 thf(func_def_187, type, upairsetp: $i > $o).
% 1.98/0.67 thf(func_def_191, type, kfst: $i > $i).
% 1.98/0.67 thf(func_def_203, type, ksnd: $i > $i).
% 1.98/0.67 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.98/0.67 thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.98/0.67 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.98/0.67 thf(func_def_323, type, breln1: $i > $i > $o).
% 1.98/0.67 thf(func_def_325, type, breln1Set: $i > $i).
% 1.98/0.67 thf(func_def_327, type, transitive: $i > $i > $o).
% 1.98/0.67 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 1.98/0.67 thf(func_def_329, type, reflexive: $i > $i > $o).
% 1.98/0.67 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 1.98/0.67 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 1.98/0.67 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 1.98/0.67 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 1.98/0.67 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 1.98/0.67 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 1.98/0.67 thf(func_def_378, type, omegaS: $i > $i).
% 1.98/0.67 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_386, type, peano: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_387, type, transitiveset: $i > $o).
% 1.98/0.67 thf(func_def_392, type, stricttotalorderedByIn: $i > $o).
% 1.98/0.67 thf(func_def_393, type, wellorderedByIn: $i > $o).
% 1.98/0.67 thf(func_def_394, type, ordinal: $i > $o).
% 1.98/0.67 thf(func_def_395, type, limitOrdinal: $i > $o).
% 1.98/0.67 thf(func_def_400, type, succOrdinal: $i > $o).
% 1.98/0.67 thf(func_def_418, type, sP1: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_420, type, sP3: $i > $o > $i > $i > $o).
% 1.98/0.67 thf(func_def_426, type, sP9: $i > $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_429, type, sP12: $i > $i > $o).
% 1.98/0.67 thf(func_def_430, type, sP13: $i > $o).
% 1.98/0.67 thf(func_def_431, type, sP14: $i > $i > $o).
% 1.98/0.67 thf(func_def_432, type, sP15: $i > $i > $o).
% 1.98/0.67 thf(func_def_434, type, sP17: $i > $i > $i > $o).
% 1.98/0.67 thf(func_def_435, type, sK18: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_436, type, sK19: $i > $i).
% 1.98/0.67 thf(func_def_461, type, sK44: $i > $i > $o).
% 1.98/0.67 thf(func_def_471, type, sK54: $i > $o).
% 1.98/0.67 thf(func_def_472, type, sK55: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_475, type, sK58: $i > $o).
% 1.98/0.67 thf(func_def_484, type, sK67: $i > $i > $o).
% 1.98/0.67 thf(func_def_487, type, sK70: $i > $i > $o).
% 1.98/0.67 thf(func_def_494, type, sK77: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_495, type, sK78: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_502, type, sK85: ($i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_504, type, sK87: $i > $o).
% 1.98/0.67 thf(func_def_506, type, sK89: $i > ($i > $i) > $i > $i > $i).
% 1.98/0.67 thf(func_def_507, type, sK90: ($i > $i) > $i > $i > $i).
% 1.98/0.67 thf(func_def_510, type, sK93: $i > $i).
% 1.98/0.67 thf(func_def_512, type, sK95: $i > $i > $i).
% 1.98/0.67 thf(func_def_525, type, sK108: $i > $i).
% 1.98/0.67 thf(func_def_526, type, sK109: ($i > $i) > $i > $i > $i).
% 1.98/0.67 thf(func_def_565, type, sK148: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_566, type, sK149: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_567, type, sK150: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_568, type, sK151: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_583, type, sK166: $i > $o).
% 1.98/0.67 thf(func_def_635, type, sK218: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_636, type, sK219: $i > $o).
% 1.98/0.67 thf(func_def_637, type, sK220: $i > $i).
% 1.98/0.67 thf(func_def_643, type, sK226: $i > $i > $o).
% 1.98/0.67 thf(func_def_644, type, sK227: $i > $i).
% 1.98/0.67 thf(func_def_645, type, sK228: $i > $i).
% 1.98/0.67 thf(func_def_646, type, sK229: ($i > $i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_647, type, sK230: ($i > $i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_648, type, sK231: $i > ($i > $i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_649, type, sK232: $i > $o).
% 1.98/0.67 thf(func_def_663, type, sK246: $i > $o).
% 1.98/0.67 thf(func_def_667, type, sK250: $i > $o).
% 1.98/0.67 thf(func_def_669, type, sK252: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_694, type, sK277: $i > $o).
% 1.98/0.67 thf(func_def_705, type, sK288: $i > $i).
% 1.98/0.67 thf(func_def_709, type, sK292: $i > $i > $i).
% 1.98/0.67 thf(func_def_717, type, sK300: $i > $i).
% 1.98/0.67 thf(func_def_721, type, sK304: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_722, type, sK305: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_723, type, sK306: $i > $o).
% 1.98/0.67 thf(func_def_728, type, sK311: $o > $i > $i > $i).
% 1.98/0.67 thf(func_def_750, type, sK333: $o > $i > $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_756, type, sK339: $i > $i).
% 1.98/0.67 thf(func_def_759, type, sK342: $i > $i).
% 1.98/0.67 thf(func_def_765, type, sK348: $i > $o).
% 1.98/0.67 thf(func_def_768, type, sK351: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_769, type, sK352: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_799, type, sK382: $i > $o).
% 1.98/0.67 thf(func_def_807, type, sK390: $i > $i > $o).
% 1.98/0.67 thf(func_def_809, type, sK392: $i > $o).
% 1.98/0.67 thf(func_def_811, type, sK394: $i > $i > $o).
% 1.98/0.67 thf(func_def_820, type, sK403: $i > $o).
% 1.98/0.67 thf(func_def_822, type, sK405: ($i > $o) > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_823, type, sK406: ($i > $o) > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_835, type, sK418: $i > $o).
% 1.98/0.67 thf(func_def_836, type, sK419: $i > $o).
% 1.98/0.67 thf(func_def_837, type, sK420: ($i > $o) > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_838, type, sK421: ($i > $o) > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_864, type, sK447: $i > $i).
% 1.98/0.67 thf(func_def_870, type, sK453: $i > $i > $o).
% 1.98/0.67 thf(func_def_875, type, sK458: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_887, type, sK470: $i > $i).
% 1.98/0.67 thf(func_def_897, type, sK480: $i > $i).
% 1.98/0.67 thf(func_def_909, type, sK492: $i > $o).
% 1.98/0.67 thf(func_def_912, type, sK495: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_923, type, sK506: $i > $i).
% 1.98/0.67 thf(func_def_930, type, sK513: ($i > $i) > $i > $i).
% 1.98/0.67 thf(func_def_931, type, sK514: $i > ($i > $i) > $i > $i).
% 1.98/0.67 thf(func_def_933, type, sK516: $i > $i).
% 1.98/0.67 thf(func_def_934, type, sK517: $i > $i).
% 1.98/0.67 thf(func_def_935, type, sK518: $i > $i).
% 1.98/0.67 thf(func_def_959, type, sK542: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_960, type, sK543: $i > $i).
% 1.98/0.67 thf(func_def_966, type, sK549: $i > $i > $i).
% 1.98/0.67 thf(func_def_982, type, sK565: $i > $o).
% 1.98/0.67 thf(func_def_984, type, sK567: ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_985, type, sK568: ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_989, type, sK572: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_994, type, sK577: $i > $o).
% 1.98/0.67 thf(func_def_997, type, sK580: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1008, type, sK591: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1009, type, sK592: $i > $o).
% 1.98/0.67 thf(func_def_1028, type, sK611: $i > $o).
% 1.98/0.67 thf(func_def_1039, type, sK622: $i > $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1064, type, sK647: $i > $o).
% 1.98/0.67 thf(func_def_1083, type, sK666: ($i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_1085, type, sK668: $i > $o).
% 1.98/0.67 thf(func_def_1096, type, sK679: $i > $i).
% 1.98/0.67 thf(func_def_1099, type, sK682: $i > ($i > $i) > $i > $i).
% 1.98/0.67 thf(func_def_1106, type, sK689: $i > $o).
% 1.98/0.67 thf(func_def_1120, type, sK703: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1127, type, sK710: $i > $i).
% 1.98/0.67 thf(func_def_1130, type, sK713: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_1131, type, sK714: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1132, type, sK715: $i > $o).
% 1.98/0.67 thf(func_def_1166, type, sK749: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1177, type, sK760: $i > $i > $i).
% 1.98/0.67 thf(func_def_1191, type, sK774: $i > $i > $i).
% 1.98/0.67 thf(func_def_1192, type, sK775: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_1193, type, sK776: $i > $i).
% 1.98/0.67 thf(func_def_1198, type, sK781: $i > $o).
% 1.98/0.67 thf(func_def_1217, type, sK800: $i > $o).
% 1.98/0.67 thf(func_def_1219, type, sK802: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1236, type, sK819: $i > $o).
% 1.98/0.67 thf(func_def_1239, type, sK822: $i > $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1247, type, sK830: $i > $i > $o).
% 1.98/0.67 thf(func_def_1255, type, sK838: $i > $i).
% 1.98/0.67 thf(func_def_1260, type, sK843: $i > $i).
% 1.98/0.67 thf(func_def_1284, type, sK867: $i > ($i > $i > $o) > $i > $i).
% 1.98/0.67 thf(func_def_1286, type, sK869: $i > $i > $o).
% 1.98/0.67 thf(func_def_1290, type, sK873: $i > $i).
% 1.98/0.67 thf(func_def_1295, type, sK878: $i > $i > $i).
% 1.98/0.67 thf(func_def_1296, type, sK879: $i > $i > $i).
% 1.98/0.67 thf(func_def_1307, type, sK890: $i > $i > $i).
% 1.98/0.67 thf(func_def_1314, type, sK897: $i > $i > $i).
% 1.98/0.67 thf(func_def_1318, type, sK901: ($i > $o) > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1319, type, sK902: ($i > $o) > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1323, type, sK906: $i > $o).
% 1.98/0.67 thf(func_def_1330, type, sK913: $i > $i).
% 1.98/0.67 thf(func_def_1333, type, sK916: $i > $o).
% 1.98/0.67 thf(func_def_1334, type, sK917: ($i > $i) > $i > $i > $i).
% 1.98/0.67 thf(func_def_1337, type, sK920: $i > $i).
% 1.98/0.67 thf(func_def_1349, type, sK932: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1350, type, sK933: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1351, type, sK934: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1352, type, sK935: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1368, type, sK951: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1377, type, sK960: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1378, type, sK961: $i > $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1389, type, sK972: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1390, type, sK973: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1405, type, sK988: $i > $i > $i).
% 1.98/0.67 thf(func_def_1406, type, sK989: $i > $i > $i).
% 1.98/0.67 thf(func_def_1407, type, sK990: $i > $i > $i).
% 1.98/0.67 thf(func_def_1408, type, sK991: $i > $i > $i).
% 1.98/0.67 thf(func_def_1409, type, sK992: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1410, type, sK993: $i > $i).
% 1.98/0.67 thf(func_def_1411, type, sK994: $i > $i).
% 1.98/0.67 thf(func_def_1412, type, sK995: $i > $i).
% 1.98/0.67 thf(func_def_1413, type, sK996: $i > $i).
% 1.98/0.67 thf(func_def_1414, type, sK997: $i > $i > $i).
% 1.98/0.67 thf(func_def_1415, type, sK998: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1416, type, sK999: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1417, type, sK1000: $i > $i > $i).
% 1.98/0.67 thf(func_def_1418, type, sK1001: $i > $i > $i).
% 1.98/0.67 thf(func_def_1420, type, sK1003: $i > $i).
% 1.98/0.67 thf(func_def_1421, type, sK1004: $i > $i).
% 1.98/0.67 thf(func_def_1422, type, sK1005: $i > $i).
% 1.98/0.67 thf(func_def_1423, type, sK1006: $i > $i > $i).
% 1.98/0.67 thf(func_def_1424, type, sK1007: $i > $o).
% 1.98/0.67 thf(func_def_1426, type, sK1009: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1431, type, sK1014: $i > $i > $o).
% 1.98/0.67 thf(func_def_1434, type, sK1017: $i > $o).
% 1.98/0.67 thf(func_def_1435, type, sK1018: $i > $o).
% 1.98/0.67 thf(func_def_1436, type, sK1019: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_1437, type, sK1020: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_1444, type, sK1027: $i > $o).
% 1.98/0.67 thf(func_def_1445, type, sK1028: $i > $i).
% 1.98/0.67 thf(func_def_1446, type, sK1029: ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1455, type, sK1038: $i > $i > $i).
% 1.98/0.67 thf(func_def_1465, type, sK1048: $i > $i).
% 1.98/0.67 thf(func_def_1468, type, sK1051: $i > $i > ($i > $i) > $i).
% 1.98/0.67 thf(func_def_1496, type, sK1079: $i > $o).
% 1.98/0.67 thf(func_def_1497, type, sK1080: $i > $o).
% 1.98/0.67 thf(func_def_1500, type, sK1083: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1501, type, sK1084: $i > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1509, type, sK1092: $i > $o).
% 1.98/0.67 thf(func_def_1511, type, sK1094: ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_1512, type, sK1095: ($i > $o) > $i > $i > $i).
% 1.98/0.67 thf(func_def_1513, type, sK1096: $i > $o).
% 1.98/0.67 thf(func_def_1514, type, sK1097: $i > $o).
% 1.98/0.67 thf(func_def_1515, type, sK1098: ($i > $o) > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1516, type, sK1099: ($i > $o) > ($i > $o) > $i).
% 1.98/0.67 thf(func_def_1517, type, sK1100: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1521, type, sK1104: $i > $i > $i > $i).
% 1.98/0.67 thf(func_def_1527, type, sK1110: $i > $i).
% 1.98/0.67 thf(f7324,plain,(
% 1.98/0.67 $false),
% 1.98/0.67 inference(subsumption_resolution,[],[f3622,f6953])).
% 1.98/0.67 thf(f6953,plain,(
% 1.98/0.67 ( ! [X1 : $i] : (((in @ X1 @ X1) != $true)) )),
% 1.98/0.67 inference(trivial_inequality_removal,[],[f6403])).
% 1.98/0.67 thf(f6403,plain,(
% 1.98/0.67 ( ! [X1 : $i] : (($true != $true) | ((in @ X1 @ X1) != $true)) )),
% 1.98/0.67 inference(definition_unfolding,[],[f5013,f3503])).
% 1.98/0.67 thf(f3503,plain,(
% 1.98/0.67 (notinself = $true)),
% 1.98/0.67 inference(cnf_transformation,[],[f1663])).
% 1.98/0.67 thf(f1663,plain,(
% 1.98/0.67 (iffalse = $true) & (funcGraphProp4 = $true) & (emptysetAx = $true) & (woz13rule3 = $true) & (ifSingleton = $true) & (ubforcartprodlem3 = $true) & (setukpairinjL = $true) & (setoftrueEq = $true) & (complementTE1 = $true) & (subsetE2 = $true) & (setadjoinIR = $true) & (powersetE1 = $true) & (setadjoinAx = $true) & (kfstpairEq = $true) & (in__Cong = $true) & (powersetI1 = $true) & (subsetTI = $true) & (setminusIRneg = $true) & (ifp = $true) & (uniqinunit = $true) & (apProp = $true) & (ap2apEq1 = $true) & (upairinpowunion = $true) & (woz1_5 = $true) & (image1Equiv = $true) & (eqinunit = $true) & (binunionTEcontra = $true) & (symdiffIneg1 = $true) & (complementInPowersetComplementIntersect = $true) & (exuE2 = $true) & (demorgan2a2 = $true) & (iftrueProp1 = $true) & (ex1E2 = $true) & (exuEu = $true) & (woz13rule1 = $true) & (symdiffI1 = $true) & (dsetconstrEL = $true) & (singletonsubset = $true) & (powersetT_lem = $true) & (singletoninpowerset = $true) & (setadjoinOr = $true) & (complementSubsetComplementIntersect = $true) & (binunionIL = $true) & (omegaSAx = $true) & (descr__Cong = $true) & (intersectInPowersetIntersectUnions = $true) & (powerset__Cong = $true) & (binintersectI = $true) & (emptysetsubset = $true) & (transitivesetOp1 = $true) & (demorgan2b2 = $true) & (contrasubsetT3 = $true) & (sepSubset = $true) & (setukpairinjR = $true) & (setminusI = $true) & (eqimpsubset2 = $true) & (breln1invI = $true) & (cartprodsndin = $true) & (dpsetconstrER = $true) & (emptyset__Cong = $true) & (nonemptyI1 = $true) & (setadjoinE = $true) & (iffalseProp2 = $true) & (surjCantorThm = $true) & (transitivesetOp2 = $true) & ((((in @ sK113 @ sK112) = $true) & ((in @ sK113 @ sK113) = $true)) & ((ordinal @ sK112) = $true)) & (dpsetconstrSub = $true) & (binunionTE = $true) & (ex1E1 = $true) & (breln1compI = $true) & (symdiffI2 = $true) & (breln1invE = $true) & (ubforcartprodlem2 = $true) & (subPowSU = $true) & (upairequniteq = $true) & (singletoninpowunion = $true) & (binunionE = $true) & (notsubsetI = $true) & (lamProp = $true) & (notinsingleton = $true) & (upairset2E = $true) & (prop2setE = $true) & (subset2powerset = $true) & (breln1unionIL = $true) & (binintersectER = $true) & (omegaIndAx = $true) & (setunionAx = $true) & (inIntersectImpInIntersectUnions = $true) & (emptyinunitempty = $true) & (ex1I2 = $true) & (wellorderingAx = $true) & (funcGraphProp1 = $true) & (image1I = $true) & (setminusILneg = $true) & (dsetconstrER = $true) & (emptysetOrdinal = $true) & (complementUnionInPowersetComplement = $true) & (breln1SetBreln1 = $true) & (bs114d = $true) & (breln1invprop = $true) & (doubleComplementSub1 = $true) & (binunionIR = $true) & (brelnall2 = $true) & (upairsetIR = $true) & (exuI2 = $true) & (setminusSubset1 = $true) & (nonemptyImpWitness = $true) & (demorgan1 = $true) & (lam2p = $true) & (breln1compE = $true) & (injFuncSetFuncIn = $true) & (contrasubsetT = $true) & (setukpairinjR12 = $true) & (setunionTransitive = $true) & (dpsetconstrI = $true) & (emptysetimpfalse = $true) & (upairsetIL = $true) & (binunionEcases = $true) & (binintersectSubset4 = $true) & (breln1unionE = $true) & (powersetTE1 = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (powersetTI1 = $true) & (binintersectSubset1 = $true) & (ubforcartprodlem1 = $true) & (setunionsingleton = $true) & (eqbreln1 = $true) & (ordinalTransSet = $true) & (setminusELneg = $true) & (upairset2IR = $true) & (dpsetconstrEL2 = $true) & (complementTI1 = $true) & (eqbreln = $true) & (breln1unionIR = $true) & (setunionE2 = $true) & (subsetTrans = $true) & (notequalI1 = $true) & (demorgan2a1 = $true) & (binintersectEL = $true) & (breln1unionI = $true) & (ap2apEq2 = $true) & (cartprodpairsurjEq = $true) & (lam2lamEq = $true) & (powersetsubset = $true) & (ap2p = $true) & (breln1unionCommutes = $true) & (noeltsimpempty = $true) & (subbreln1 = $true) & (cartprodmempair1 = $true) & (powersetI = $true) & (demorgan1a = $true) & (setunionOrdinalLem1 = $true) & (funcinfuncset = $true) & (funcext2 = $true) & (setadjoinSub = $true) & (kpairiskpair = $true) & (image1Ex1 = $true) & (brelnall1 = $true) & (binunionTIRcontra = $true) & (setminusSubset2 = $true) & (complementImpComplementIntersect = $true) & (kpairp = $true) & (setukpairinjL2 = $true) & (exu__Cong = $true) & (binintersectTERcontra = $true) & (binintersectLsub = $true) & (lamp = $true) & (setukpairinjR2 = $true) & (eta2 = $true) & (inIntersectImpInUnion2 = $true) & (eqimpsubset1 = $true) & (subsetI2 = $true) & (ksndsingleton = $true) & (binintTransitive = $true) & (woz13rule0 = $true) & (disjointsetsI1 = $true) & (binunionTILcontra = $true) & (subsetRefl = $true) & (setextT = $true) & (omegaSclos = $true) & (complementTcontraSubset = $true) & (symdiffE = $true) & (notinself = $true) & (cartprodmempaircEq = $true) & (setextsub = $true) & (upairsetE = $true) & (binunionT_lem = $true) & (setminusERneg = $true) & (ksndpairEq = $true) & (nonemptyE1 = $true) & (emptyinPowerset = $true) & (woz2Ex = $true) & (inCongP = $true) & (subbreln = $true) & (cartprodsndpairEq = $true) & (kpairsurjEq = $true) & (foundation2 = $true) & (notdallE = $true) & (surjFuncSetFuncSurj = $true) & (binintersectT_lem = $true) & (demorgan2b = $true) & (iftrueProp2 = $true) & (nonemptyI = $true) & (woz2A = $true) & (theprop = $true) & (setminusEL = $true) & (prop2set2propI = $true) & (symdiffIneg2 = $true) & (exuI1 = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (image1Ex = $true) & (cartprodpairmemER = $true) & (breln1all1 = $true) & (setukpairIR = $true) & (omega__Cong = $true) & (emptyI = $true) & (binunionLsub = $true) & (setunionE = $true) & (eta1 = $true) & (breln1unionEcases = $true) & (funcext = $true) & (woz13rule2 = $true) & (woz13rule4 = $true) & (complementT_lem = $true) & (cartprodfstin = $true) & (setextAx = $true) & (breln1compEex = $true) & (setadjoinIL = $true) & (cartprodpairmemEL = $true) & (upairsubunion = $true) & (demorgan2 = $true) & (powersetAx = $true) & (iftrue = $true) & (contrasubsetT2 = $true) & (emptysetE = $true) & (notdexE = $true) & (image1E = $true) & (secondinupair = $true) & (notinemptyset = $true) & (foundationAx = $true) & (inComplementUnionImpInComplement1 = $true) & (singletonprop = $true) & (binintersectSubset2 = $true) & (setunionI = $true) & (subsetemptysetimpeq = $true) & (woz1_1 = $true) & (setukpairinjR11 = $true) & (doubleComplementSub2 = $true) & (exuI3 = $true) & (funcGraphProp3 = $true) & (cartprodfstpairEq = $true) & (emptyInPowerset = $true) & (demorgan2a = $true) & (binintersectTELcontra = $true) & (quantDeMorgan4 = $true) & (infuncsetfunc = $true) & (inPowerset = $true) & (breln1compprop = $true) & (funcImageSingleton = $true) & (dpsetconstrEL1 = $true) & (surjFuncSetFuncIn = $true) & (singletonsuniq = $true) & (ordinalMinLem1 = $true) & (binintersectSubset5 = $true) & (subsetI1 = $true) & (peanoSinj = $true) & (theeq = $true) & (cartprodpairin = $true) & (dpsetconstrERa = $true) & (funcGraphProp2 = $true) & (woz2W = $true) & (iftrueorfalse = $true) & (beta1 = $true) & (leftInvIsSurj = $true) & (woz1_3 = $true) & (doubleComplementI1 = $true) & (woz2B = $true) & (setbeta = $true) & (setminusER = $true) & (peano0notS = $true) & (injFuncInInjFuncSet = $true) & (doubleComplementEq = $true) & (setOfPairsIsBReln1 = $true) & (kfstsingleton = $true) & (omegaSp = $true) & (exuE3u = $true) & (complementTnotintersectT = $true) & (app = $true) & (contraSubsetComplement = $true) & (cartprodmempair = $true) & (ex1I = $true) & (notequalI2 = $true) & (woz1_4 = $true) & (setukpairinjL1 = $true) & (descrp = $true) & (notinself2 = $true) & (quantDeMorgan1 = $true) & (setunionsingleton1 = $true) & (quantDeMorgan2 = $true) & (setminusLsub = $true) & (quantDeMorgan3 = $true) & (setukpairinjR1 = $true) & (vacuousDall = $true) & (inComplementUnionImpNotIn1 = $true) & (doubleComplementE1 = $true) & (choice2fnsingleton = $true) & (funcextLem = $true) & (breln1all2 = $true) & (emptyE1 = $true) & (binintersectSubset3 = $true) & (sepInPowerset = $true) & (contrasubsetT1 = $true) & (setunion__Cong = $true) & (breln1unionprop = $true) & (binintersectRsub = $true) & (demorgan1b = $true) & (setukpairIL = $true) & (ordinalTransSet1 = $true) & (inIntersectImpInUnion = $true) & (iffalseProp1 = $true) & (replAx = $true) & (setminusT_lem = $true) & (subsetE = $true) & (dsetconstr__Cong = $true) & (injFuncSetFuncInj = $true) & (exuE3e = $true) & (omega0Ax = $true) & (setext = $true) & (binunionRsub = $true) & (setunionsingleton2 = $true) & (prop2setI = $true) & (singletonsswitch = $true) & (beta2 = $true) & (exuE1 = $true) & (woz1_2 = $true) & (setOfPairsIsBReln = $true)),
% 1.98/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK112,sK113])],[f1446,f1662,f1661])).
% 1.98/0.67 thf(f1661,plain,(
% 1.98/0.67 ? [X0] : (? [X1] : (((in @ X1 @ X0) = $true) & ((in @ X1 @ X1) = $true)) & ((ordinal @ X0) = $true)) => (? [X1] : (((in @ X1 @ sK112) = $true) & ((in @ X1 @ X1) = $true)) & ((ordinal @ sK112) = $true))),
% 1.98/0.67 introduced(choice_axiom,[])).
% 1.98/0.67 thf(f1662,plain,(
% 1.98/0.67 ? [X1] : (((in @ X1 @ sK112) = $true) & ((in @ X1 @ X1) = $true)) => (((in @ sK113 @ sK112) = $true) & ((in @ sK113 @ sK113) = $true))),
% 1.98/0.67 introduced(choice_axiom,[])).
% 1.98/0.67 thf(f1446,plain,(
% 1.98/0.67 (iffalse = $true) & (funcGraphProp4 = $true) & (emptysetAx = $true) & (woz13rule3 = $true) & (ifSingleton = $true) & (ubforcartprodlem3 = $true) & (setukpairinjL = $true) & (setoftrueEq = $true) & (complementTE1 = $true) & (subsetE2 = $true) & (setadjoinIR = $true) & (powersetE1 = $true) & (setadjoinAx = $true) & (kfstpairEq = $true) & (in__Cong = $true) & (powersetI1 = $true) & (subsetTI = $true) & (setminusIRneg = $true) & (ifp = $true) & (uniqinunit = $true) & (apProp = $true) & (ap2apEq1 = $true) & (upairinpowunion = $true) & (woz1_5 = $true) & (image1Equiv = $true) & (eqinunit = $true) & (binunionTEcontra = $true) & (symdiffIneg1 = $true) & (complementInPowersetComplementIntersect = $true) & (exuE2 = $true) & (demorgan2a2 = $true) & (iftrueProp1 = $true) & (ex1E2 = $true) & (exuEu = $true) & (woz13rule1 = $true) & (symdiffI1 = $true) & (dsetconstrEL = $true) & (singletonsubset = $true) & (powersetT_lem = $true) & (singletoninpowerset = $true) & (setadjoinOr = $true) & (complementSubsetComplementIntersect = $true) & (binunionIL = $true) & (omegaSAx = $true) & (descr__Cong = $true) & (intersectInPowersetIntersectUnions = $true) & (powerset__Cong = $true) & (binintersectI = $true) & (emptysetsubset = $true) & (transitivesetOp1 = $true) & (demorgan2b2 = $true) & (contrasubsetT3 = $true) & (sepSubset = $true) & (setukpairinjR = $true) & (setminusI = $true) & (eqimpsubset2 = $true) & (breln1invI = $true) & (cartprodsndin = $true) & (dpsetconstrER = $true) & (emptyset__Cong = $true) & (nonemptyI1 = $true) & (setadjoinE = $true) & (iffalseProp2 = $true) & (surjCantorThm = $true) & (transitivesetOp2 = $true) & ? [X0] : (? [X1] : (((in @ X1 @ X0) = $true) & ((in @ X1 @ X1) = $true)) & ((ordinal @ X0) = $true)) & (dpsetconstrSub = $true) & (binunionTE = $true) & (ex1E1 = $true) & (breln1compI = $true) & (symdiffI2 = $true) & (breln1invE = $true) & (ubforcartprodlem2 = $true) & (subPowSU = $true) & (upairequniteq = $true) & (singletoninpowunion = $true) & (binunionE = $true) & (notsubsetI = $true) & (lamProp = $true) & (notinsingleton = $true) & (upairset2E = $true) & (prop2setE = $true) & (subset2powerset = $true) & (breln1unionIL = $true) & (binintersectER = $true) & (omegaIndAx = $true) & (setunionAx = $true) & (inIntersectImpInIntersectUnions = $true) & (emptyinunitempty = $true) & (ex1I2 = $true) & (wellorderingAx = $true) & (funcGraphProp1 = $true) & (image1I = $true) & (setminusILneg = $true) & (dsetconstrER = $true) & (emptysetOrdinal = $true) & (complementUnionInPowersetComplement = $true) & (breln1SetBreln1 = $true) & (bs114d = $true) & (breln1invprop = $true) & (doubleComplementSub1 = $true) & (binunionIR = $true) & (brelnall2 = $true) & (upairsetIR = $true) & (exuI2 = $true) & (setminusSubset1 = $true) & (nonemptyImpWitness = $true) & (demorgan1 = $true) & (lam2p = $true) & (breln1compE = $true) & (injFuncSetFuncIn = $true) & (contrasubsetT = $true) & (setukpairinjR12 = $true) & (setunionTransitive = $true) & (dpsetconstrI = $true) & (emptysetimpfalse = $true) & (upairsetIL = $true) & (binunionEcases = $true) & (binintersectSubset4 = $true) & (breln1unionE = $true) & (powersetTE1 = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (powersetTI1 = $true) & (binintersectSubset1 = $true) & (ubforcartprodlem1 = $true) & (setunionsingleton = $true) & (eqbreln1 = $true) & (ordinalTransSet = $true) & (setminusELneg = $true) & (upairset2IR = $true) & (dpsetconstrEL2 = $true) & (complementTI1 = $true) & (eqbreln = $true) & (breln1unionIR = $true) & (setunionE2 = $true) & (subsetTrans = $true) & (notequalI1 = $true) & (demorgan2a1 = $true) & (binintersectEL = $true) & (breln1unionI = $true) & (ap2apEq2 = $true) & (cartprodpairsurjEq = $true) & (lam2lamEq = $true) & (powersetsubset = $true) & (ap2p = $true) & (breln1unionCommutes = $true) & (noeltsimpempty = $true) & (subbreln1 = $true) & (cartprodmempair1 = $true) & (powersetI = $true) & (demorgan1a = $true) & (setunionOrdinalLem1 = $true) & (funcinfuncset = $true) & (funcext2 = $true) & (setadjoinSub = $true) & (kpairiskpair = $true) & (image1Ex1 = $true) & (brelnall1 = $true) & (binunionTIRcontra = $true) & (setminusSubset2 = $true) & (complementImpComplementIntersect = $true) & (kpairp = $true) & (setukpairinjL2 = $true) & (exu__Cong = $true) & (binintersectTERcontra = $true) & (binintersectLsub = $true) & (lamp = $true) & (setukpairinjR2 = $true) & (eta2 = $true) & (inIntersectImpInUnion2 = $true) & (eqimpsubset1 = $true) & (subsetI2 = $true) & (ksndsingleton = $true) & (binintTransitive = $true) & (woz13rule0 = $true) & (disjointsetsI1 = $true) & (binunionTILcontra = $true) & (subsetRefl = $true) & (setextT = $true) & (omegaSclos = $true) & (complementTcontraSubset = $true) & (symdiffE = $true) & (notinself = $true) & (cartprodmempaircEq = $true) & (setextsub = $true) & (upairsetE = $true) & (binunionT_lem = $true) & (setminusERneg = $true) & (ksndpairEq = $true) & (nonemptyE1 = $true) & (emptyinPowerset = $true) & (woz2Ex = $true) & (inCongP = $true) & (subbreln = $true) & (cartprodsndpairEq = $true) & (kpairsurjEq = $true) & (foundation2 = $true) & (notdallE = $true) & (surjFuncSetFuncSurj = $true) & (binintersectT_lem = $true) & (demorgan2b = $true) & (iftrueProp2 = $true) & (nonemptyI = $true) & (woz2A = $true) & (theprop = $true) & (setminusEL = $true) & (prop2set2propI = $true) & (symdiffIneg2 = $true) & (exuI1 = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (image1Ex = $true) & (cartprodpairmemER = $true) & (breln1all1 = $true) & (setukpairIR = $true) & (omega__Cong = $true) & (emptyI = $true) & (binunionLsub = $true) & (setunionE = $true) & (eta1 = $true) & (breln1unionEcases = $true) & (funcext = $true) & (woz13rule2 = $true) & (woz13rule4 = $true) & (complementT_lem = $true) & (cartprodfstin = $true) & (setextAx = $true) & (breln1compEex = $true) & (setadjoinIL = $true) & (cartprodpairmemEL = $true) & (upairsubunion = $true) & (demorgan2 = $true) & (powersetAx = $true) & (iftrue = $true) & (contrasubsetT2 = $true) & (emptysetE = $true) & (notdexE = $true) & (image1E = $true) & (secondinupair = $true) & (notinemptyset = $true) & (foundationAx = $true) & (inComplementUnionImpInComplement1 = $true) & (singletonprop = $true) & (binintersectSubset2 = $true) & (setunionI = $true) & (subsetemptysetimpeq = $true) & (woz1_1 = $true) & (setukpairinjR11 = $true) & (doubleComplementSub2 = $true) & (exuI3 = $true) & (funcGraphProp3 = $true) & (cartprodfstpairEq = $true) & (emptyInPowerset = $true) & (demorgan2a = $true) & (binintersectTELcontra = $true) & (quantDeMorgan4 = $true) & (infuncsetfunc = $true) & (inPowerset = $true) & (breln1compprop = $true) & (funcImageSingleton = $true) & (dpsetconstrEL1 = $true) & (surjFuncSetFuncIn = $true) & (singletonsuniq = $true) & (ordinalMinLem1 = $true) & (binintersectSubset5 = $true) & (subsetI1 = $true) & (peanoSinj = $true) & (theeq = $true) & (cartprodpairin = $true) & (dpsetconstrERa = $true) & (funcGraphProp2 = $true) & (woz2W = $true) & (iftrueorfalse = $true) & (beta1 = $true) & (leftInvIsSurj = $true) & (woz1_3 = $true) & (doubleComplementI1 = $true) & (woz2B = $true) & (setbeta = $true) & (setminusER = $true) & (peano0notS = $true) & (injFuncInInjFuncSet = $true) & (doubleComplementEq = $true) & (setOfPairsIsBReln1 = $true) & (kfstsingleton = $true) & (omegaSp = $true) & (exuE3u = $true) & (complementTnotintersectT = $true) & (app = $true) & (contraSubsetComplement = $true) & (cartprodmempair = $true) & (ex1I = $true) & (notequalI2 = $true) & (woz1_4 = $true) & (setukpairinjL1 = $true) & (descrp = $true) & (notinself2 = $true) & (quantDeMorgan1 = $true) & (setunionsingleton1 = $true) & (quantDeMorgan2 = $true) & (setminusLsub = $true) & (quantDeMorgan3 = $true) & (setukpairinjR1 = $true) & (vacuousDall = $true) & (inComplementUnionImpNotIn1 = $true) & (doubleComplementE1 = $true) & (choice2fnsingleton = $true) & (funcextLem = $true) & (breln1all2 = $true) & (emptyE1 = $true) & (binintersectSubset3 = $true) & (sepInPowerset = $true) & (contrasubsetT1 = $true) & (setunion__Cong = $true) & (breln1unionprop = $true) & (binintersectRsub = $true) & (demorgan1b = $true) & (setukpairIL = $true) & (ordinalTransSet1 = $true) & (inIntersectImpInUnion = $true) & (iffalseProp1 = $true) & (replAx = $true) & (setminusT_lem = $true) & (subsetE = $true) & (dsetconstr__Cong = $true) & (injFuncSetFuncInj = $true) & (exuE3e = $true) & (omega0Ax = $true) & (setext = $true) & (binunionRsub = $true) & (setunionsingleton2 = $true) & (prop2setI = $true) & (singletonsswitch = $true) & (beta2 = $true) & (exuE1 = $true) & (woz1_2 = $true) & (setOfPairsIsBReln = $true)),
% 1.98/0.67 inference(flattening,[],[f1445])).
% 1.98/0.67 thf(f1445,plain,(
% 1.98/0.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1] : (((in @ X1 @ X0) = $true) & ((in @ X1 @ X1) = $true)) & ((ordinal @ X0) = $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)),
% 1.98/0.67 inference(ennf_transformation,[],[f1021])).
% 1.98/0.67 thf(f1021,plain,(
% 1.98/0.67 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $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) => ! [X0] : (((ordinal @ X0) = $true) => ! [X1] : (((in @ X1 @ X0) = $true) => ((in @ X1 @ X1) != $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.67 inference(flattening,[],[f751])).
% 1.98/0.67 thf(f751,plain,(
% 1.98/0.67 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $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) => ! [X0] : (((ordinal @ X0) = $true) => ! [X1] : (((in @ X1 @ X0) = $true) => ~((in @ X1 @ X1) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.67 inference(fool_elimination,[],[f750])).
% 1.98/0.67 thf(f750,plain,(
% 1.98/0.67 ~(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 => ! [X0] : ((ordinal @ X0) => ! [X1] : ((in @ X1 @ X0) => ~(in @ X1 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.67 inference(rectify,[],[f343])).
% 1.98/0.67 thf(f343,negated_conjecture,(
% 1.98/0.67 ~(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 => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => ~(in @ X3 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.67 inference(negated_conjecture,[],[f342])).
% 1.98/0.67 thf(f342,conjecture,(
% 1.98/0.67 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 => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => ~(in @ X3 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalIrrefl)).
% 1.98/0.67 thf(f5013,plain,(
% 1.98/0.67 ( ! [X1 : $i] : (((in @ X1 @ X1) != $true) | (notinself != $true)) )),
% 1.98/0.67 inference(cnf_transformation,[],[f3152])).
% 1.98/0.67 thf(f3152,plain,(
% 1.98/0.67 ((notinself = $true) | ($true = (in @ sK1073 @ sK1073))) & (! [X1] : ((in @ X1 @ X1) != $true) | (notinself != $true))),
% 1.98/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1073])],[f3150,f3151])).
% 1.98/0.67 thf(f3151,plain,(
% 1.98/0.67 ? [X0] : ((in @ X0 @ X0) = $true) => ($true = (in @ sK1073 @ sK1073))),
% 1.98/0.67 introduced(choice_axiom,[])).
% 1.98/0.67 thf(f3150,plain,(
% 1.98/0.67 ((notinself = $true) | ? [X0] : ((in @ X0 @ X0) = $true)) & (! [X1] : ((in @ X1 @ X1) != $true) | (notinself != $true))),
% 1.98/0.67 inference(rectify,[],[f3149])).
% 1.98/0.67 thf(f3149,plain,(
% 1.98/0.67 ((notinself = $true) | ? [X0] : ((in @ X0 @ X0) = $true)) & (! [X0] : ((in @ X0 @ X0) != $true) | (notinself != $true))),
% 1.98/0.67 inference(nnf_transformation,[],[f1078])).
% 1.98/0.67 thf(f1078,plain,(
% 1.98/0.67 (notinself = $true) <=> ! [X0] : ((in @ X0 @ X0) != $true)),
% 1.98/0.67 inference(flattening,[],[f687])).
% 1.98/0.67 thf(f687,plain,(
% 1.98/0.67 (notinself = $true) <=> ! [X0] : ~((in @ X0 @ X0) = $true)),
% 1.98/0.67 inference(fool_elimination,[],[f686])).
% 1.98/0.67 thf(f686,plain,(
% 1.98/0.67 (notinself = ! [X0] : ~(in @ X0 @ X0))),
% 1.98/0.67 inference(rectify,[],[f324])).
% 1.98/0.67 thf(f324,axiom,(
% 1.98/0.67 (notinself = ! [X3] : ~(in @ X3 @ X3))),
% 1.98/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself)).
% 1.98/0.67 thf(f3622,plain,(
% 1.98/0.67 ((in @ sK113 @ sK113) = $true)),
% 1.98/0.67 inference(cnf_transformation,[],[f1663])).
% 1.98/0.67 % SZS output end Proof for theBenchmark
% 1.98/0.67 % (17271)------------------------------
% 1.98/0.67 % (17271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.67 % (17271)Termination reason: Refutation
% 1.98/0.67
% 1.98/0.67 % (17271)Memory used [KB]: 11769
% 1.98/0.67 % (17271)Time elapsed: 0.172 s
% 1.98/0.67 % (17271)Instructions burned: 435 (million)
% 1.98/0.67 % (17271)------------------------------
% 1.98/0.67 % (17271)------------------------------
% 1.98/0.67 % (17231)Success in time 0.304 s
% 1.98/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------