TSTP Solution File: SEU786^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU786^1 : 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 : n004.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 03:51:31 EDT 2024
% Result : Theorem 2.02s 0.65s
% Output : Refutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU786^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.15 % 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
% 0.16/0.35 % Computer : n004.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 16:32:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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
% 0.22/0.40 % (4053)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 % (4059)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 % (4059)Instruction limit reached!
% 0.22/0.41 % (4059)------------------------------
% 0.22/0.41 % (4059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4059)Termination reason: Unknown
% 0.22/0.41 % (4059)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (4059)Memory used [KB]: 1535
% 0.22/0.41 % (4059)Time elapsed: 0.004 s
% 0.22/0.41 % (4059)Instructions burned: 3 (million)
% 0.22/0.41 % (4059)------------------------------
% 0.22/0.41 % (4059)------------------------------
% 0.22/0.41 % (4053)Instruction limit reached!
% 0.22/0.41 % (4053)------------------------------
% 0.22/0.41 % (4053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4053)Termination reason: Unknown
% 0.22/0.41 % (4053)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (4053)Memory used [KB]: 1535
% 0.22/0.41 % (4053)Time elapsed: 0.005 s
% 0.22/0.41 % (4053)Instructions burned: 5 (million)
% 0.22/0.41 % (4053)------------------------------
% 0.22/0.41 % (4053)------------------------------
% 0.22/0.41 % (4054)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 % (4052)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.41 % (4058)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (4057)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)
% 0.22/0.42 % (4055)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.42 % (4056)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)
% 0.22/0.42 % (4055)Instruction limit reached!
% 0.22/0.42 % (4055)------------------------------
% 0.22/0.42 % (4055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4055)Termination reason: Unknown
% 0.22/0.42 % (4055)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4055)Memory used [KB]: 1535
% 0.22/0.42 % (4055)Time elapsed: 0.004 s
% 0.22/0.42 % (4055)Instructions burned: 2 (million)
% 0.22/0.42 % (4055)------------------------------
% 0.22/0.42 % (4055)------------------------------
% 0.22/0.42 % (4056)Instruction limit reached!
% 0.22/0.42 % (4056)------------------------------
% 0.22/0.42 % (4056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4056)Termination reason: Unknown
% 0.22/0.42 % (4056)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4056)Memory used [KB]: 1535
% 0.22/0.42 % (4056)Time elapsed: 0.005 s
% 0.22/0.42 % (4056)Instructions burned: 3 (million)
% 0.22/0.42 % (4056)------------------------------
% 0.22/0.42 % (4056)------------------------------
% 0.22/0.43 % (4058)Instruction limit reached!
% 0.22/0.43 % (4058)------------------------------
% 0.22/0.43 % (4058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4058)Termination reason: Unknown
% 0.22/0.43 % (4058)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (4058)Memory used [KB]: 1918
% 0.22/0.43 % (4058)Time elapsed: 0.020 s
% 0.22/0.43 % (4058)Instructions burned: 18 (million)
% 0.22/0.43 % (4058)------------------------------
% 0.22/0.43 % (4058)------------------------------
% 0.22/0.43 % (4054)Instruction limit reached!
% 0.22/0.43 % (4054)------------------------------
% 0.22/0.43 % (4054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4054)Termination reason: Unknown
% 0.22/0.43 % (4054)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (4054)Memory used [KB]: 1918
% 0.22/0.43 % (4054)Time elapsed: 0.025 s
% 0.22/0.43 % (4054)Instructions burned: 27 (million)
% 0.22/0.43 % (4054)------------------------------
% 0.22/0.43 % (4054)------------------------------
% 0.22/0.44 % (4060)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)
% 0.22/0.45 % (4070)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)
% 0.22/0.45 % (4061)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)
% 0.22/0.45 % (4071)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)
% 0.22/0.45 % (4070)Instruction limit reached!
% 0.22/0.45 % (4070)------------------------------
% 0.22/0.45 % (4070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4070)Termination reason: Unknown
% 0.22/0.45 % (4070)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (4070)Memory used [KB]: 1535
% 0.22/0.45 % (4070)Time elapsed: 0.006 s
% 0.22/0.45 % (4070)Instructions burned: 3 (million)
% 0.22/0.45 % (4070)------------------------------
% 0.22/0.45 % (4070)------------------------------
% 0.22/0.46 % (4072)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 % (4061)Instruction limit reached!
% 0.22/0.46 % (4061)------------------------------
% 0.22/0.46 % (4061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4061)Termination reason: Unknown
% 0.22/0.46 % (4073)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 % (4061)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4061)Memory used [KB]: 1791
% 0.22/0.46 % (4061)Time elapsed: 0.016 s
% 0.22/0.46 % (4061)Instructions burned: 15 (million)
% 0.22/0.46 % (4061)------------------------------
% 0.22/0.46 % (4061)------------------------------
% 0.22/0.46 % (4072)Instruction limit reached!
% 0.22/0.46 % (4072)------------------------------
% 0.22/0.46 % (4072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4072)Termination reason: Unknown
% 0.22/0.46 % (4072)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4072)Memory used [KB]: 1663
% 0.22/0.46 % (4072)Time elapsed: 0.007 s
% 0.22/0.46 % (4072)Instructions burned: 7 (million)
% 0.22/0.46 % (4072)------------------------------
% 0.22/0.46 % (4072)------------------------------
% 0.22/0.46 % (4060)Instruction limit reached!
% 0.22/0.46 % (4060)------------------------------
% 0.22/0.46 % (4060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4060)Termination reason: Unknown
% 0.22/0.46 % (4060)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4060)Memory used [KB]: 2302
% 0.22/0.46 % (4060)Time elapsed: 0.029 s
% 0.22/0.46 % (4060)Instructions burned: 37 (million)
% 0.22/0.46 % (4060)------------------------------
% 0.22/0.46 % (4060)------------------------------
% 0.22/0.47 % (4074)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 % (4074)Instruction limit reached!
% 0.22/0.47 % (4074)------------------------------
% 0.22/0.47 % (4074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4074)Termination reason: Unknown
% 0.22/0.47 % (4074)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (4074)Memory used [KB]: 1535
% 0.22/0.47 % (4074)Time elapsed: 0.004 s
% 0.22/0.47 % (4074)Instructions burned: 3 (million)
% 0.22/0.47 % (4074)------------------------------
% 0.22/0.47 % (4074)------------------------------
% 0.22/0.47 % (4073)Instruction limit reached!
% 0.22/0.47 % (4073)------------------------------
% 0.22/0.47 % (4073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4073)Termination reason: Unknown
% 0.22/0.47 % (4073)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (4073)Memory used [KB]: 1791
% 0.22/0.47 % (4073)Time elapsed: 0.012 s
% 0.22/0.47 % (4073)Instructions burned: 17 (million)
% 0.22/0.47 % (4073)------------------------------
% 0.22/0.47 % (4073)------------------------------
% 0.22/0.48 % (4075)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 % (4075)Instruction limit reached!
% 0.22/0.48 % (4075)------------------------------
% 0.22/0.48 % (4075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4075)Termination reason: Unknown
% 0.22/0.48 % (4075)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4075)Memory used [KB]: 1535
% 0.22/0.48 % (4075)Time elapsed: 0.004 s
% 0.22/0.48 % (4075)Instructions burned: 4 (million)
% 0.22/0.48 % (4075)------------------------------
% 0.22/0.48 % (4075)------------------------------
% 0.22/0.48 % (4076)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)
% 0.22/0.48 % (4077)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)
% 0.22/0.48 % (4077)Instruction limit reached!
% 0.22/0.48 % (4077)------------------------------
% 0.22/0.48 % (4077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4077)Termination reason: Unknown
% 0.22/0.48 % (4077)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4077)Memory used [KB]: 1535
% 0.22/0.48 % (4077)Time elapsed: 0.003 s
% 0.22/0.48 % (4077)Instructions burned: 3 (million)
% 0.22/0.48 % (4077)------------------------------
% 0.22/0.48 % (4077)------------------------------
% 0.22/0.48 % (4076)Instruction limit reached!
% 0.22/0.48 % (4076)------------------------------
% 0.22/0.48 % (4076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4076)Termination reason: Unknown
% 0.22/0.48 % (4076)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4076)Memory used [KB]: 1535
% 0.22/0.48 % (4076)Time elapsed: 0.006 s
% 0.22/0.48 % (4076)Instructions burned: 7 (million)
% 0.22/0.48 % (4076)------------------------------
% 0.22/0.48 % (4076)------------------------------
% 0.22/0.48 % (4078)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.48 % (4079)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.49 % (4078)Instruction limit reached!
% 0.22/0.49 % (4078)------------------------------
% 0.22/0.49 % (4078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (4078)Termination reason: Unknown
% 0.22/0.49 % (4078)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (4078)Memory used [KB]: 1535
% 0.22/0.49 % (4078)Time elapsed: 0.005 s
% 0.22/0.49 % (4078)Instructions burned: 5 (million)
% 0.22/0.49 % (4078)------------------------------
% 0.22/0.49 % (4078)------------------------------
% 0.22/0.49 % (4080)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.22/0.49 % (4079)Instruction limit reached!
% 0.22/0.49 % (4079)------------------------------
% 0.22/0.49 % (4079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (4079)Termination reason: Unknown
% 0.22/0.49 % (4079)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (4079)Memory used [KB]: 1791
% 0.22/0.49 % (4079)Time elapsed: 0.011 s
% 0.22/0.49 % (4079)Instructions burned: 19 (million)
% 0.22/0.49 % (4079)------------------------------
% 0.22/0.49 % (4079)------------------------------
% 0.22/0.50 % (4081)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.50 % (4082)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)
% 0.22/0.50 % (4081)Instruction limit reached!
% 0.22/0.50 % (4081)------------------------------
% 0.22/0.50 % (4081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (4081)Termination reason: Unknown
% 0.22/0.50 % (4081)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (4081)Memory used [KB]: 1663
% 0.22/0.50 % (4081)Time elapsed: 0.006 s
% 0.22/0.50 % (4081)Instructions burned: 7 (million)
% 0.22/0.50 % (4081)------------------------------
% 0.22/0.50 % (4081)------------------------------
% 0.22/0.50 % (4052)Instruction limit reached!
% 0.22/0.50 % (4052)------------------------------
% 0.22/0.50 % (4052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (4052)Termination reason: Unknown
% 0.22/0.50 % (4052)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (4052)Memory used [KB]: 7419
% 0.22/0.50 % (4052)Time elapsed: 0.092 s
% 0.22/0.50 % (4052)Instructions burned: 184 (million)
% 0.22/0.50 % (4052)------------------------------
% 0.22/0.50 % (4052)------------------------------
% 0.22/0.50 % (4083)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)
% 0.22/0.51 % (4084)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.22/0.51 % (4084)Instruction limit reached!
% 0.22/0.51 % (4084)------------------------------
% 0.22/0.51 % (4084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (4084)Termination reason: Unknown
% 0.22/0.51 % (4084)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (4084)Memory used [KB]: 1663
% 0.22/0.51 % (4084)Time elapsed: 0.004 s
% 0.22/0.51 % (4084)Instructions burned: 7 (million)
% 0.22/0.51 % (4086)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.51 % (4084)------------------------------
% 0.22/0.51 % (4084)------------------------------
% 0.22/0.51 % (4083)Instruction limit reached!
% 0.22/0.51 % (4083)------------------------------
% 0.22/0.51 % (4083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (4083)Termination reason: Unknown
% 0.22/0.51 % (4083)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (4083)Memory used [KB]: 1918
% 0.22/0.51 % (4083)Time elapsed: 0.013 s
% 0.22/0.51 % (4083)Instructions burned: 21 (million)
% 0.22/0.51 % (4083)------------------------------
% 0.22/0.51 % (4083)------------------------------
% 0.22/0.51 % (4085)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)
% 0.22/0.52 % (4085)Instruction limit reached!
% 0.22/0.52 % (4085)------------------------------
% 0.22/0.52 % (4085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (4085)Termination reason: Unknown
% 0.22/0.52 % (4085)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (4085)Memory used [KB]: 1663
% 0.22/0.52 % (4085)Time elapsed: 0.005 s
% 0.22/0.52 % (4085)Instructions burned: 7 (million)
% 0.22/0.52 % (4085)------------------------------
% 0.22/0.52 % (4085)------------------------------
% 0.22/0.52 % (4087)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)
% 0.22/0.53 % (4088)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)
% 0.22/0.53 % (4089)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)
% 1.22/0.54 % (4088)Instruction limit reached!
% 1.22/0.54 % (4088)------------------------------
% 1.22/0.54 % (4088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.54 % (4088)Termination reason: Unknown
% 1.22/0.54 % (4088)Termination phase: shuffling
% 1.22/0.54
% 1.22/0.54 % (4088)Memory used [KB]: 1918
% 1.22/0.54 % (4088)Time elapsed: 0.011 s
% 1.22/0.54 % (4088)Instructions burned: 19 (million)
% 1.22/0.54 % (4088)------------------------------
% 1.22/0.54 % (4088)------------------------------
% 1.22/0.55 % (4090)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.22/0.55 % (4090)Instruction limit reached!
% 1.22/0.55 % (4090)------------------------------
% 1.22/0.55 % (4090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.55 % (4090)Termination reason: Unknown
% 1.22/0.55 % (4090)Termination phase: shuffling
% 1.22/0.55
% 1.22/0.55 % (4090)Memory used [KB]: 1918
% 1.22/0.55 % (4090)Time elapsed: 0.008 s
% 1.22/0.55 % (4090)Instructions burned: 20 (million)
% 1.22/0.55 % (4090)------------------------------
% 1.22/0.55 % (4090)------------------------------
% 1.22/0.55 % (4057)Instruction limit reached!
% 1.22/0.55 % (4057)------------------------------
% 1.22/0.55 % (4057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.55 % (4057)Termination reason: Unknown
% 1.22/0.55 % (4057)Termination phase: Saturation
% 1.22/0.55
% 1.22/0.55 % (4057)Memory used [KB]: 10490
% 1.22/0.55 % (4057)Time elapsed: 0.138 s
% 1.22/0.55 % (4057)Instructions burned: 275 (million)
% 1.22/0.55 % (4057)------------------------------
% 1.22/0.55 % (4057)------------------------------
% 1.44/0.56 % (4091)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.44/0.56 % (4092)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.44/0.56 % (4091)Instruction limit reached!
% 1.44/0.56 % (4091)------------------------------
% 1.44/0.56 % (4091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.56 % (4091)Termination reason: Unknown
% 1.44/0.56 % (4091)Termination phase: shuffling
% 1.44/0.56
% 1.44/0.56 % (4091)Memory used [KB]: 1535
% 1.44/0.56 % (4091)Time elapsed: 0.003 s
% 1.44/0.56 % (4091)Instructions burned: 6 (million)
% 1.44/0.56 % (4091)------------------------------
% 1.44/0.56 % (4091)------------------------------
% 1.44/0.57 % (4093)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.44/0.57 % (4092)Instruction limit reached!
% 1.44/0.57 % (4092)------------------------------
% 1.44/0.57 % (4092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.57 % (4092)Termination reason: Unknown
% 1.44/0.57 % (4092)Termination phase: shuffling
% 1.44/0.57
% 1.44/0.57 % (4092)Memory used [KB]: 2046
% 1.44/0.57 % (4092)Time elapsed: 0.011 s
% 1.44/0.57 % (4092)Instructions burned: 31 (million)
% 1.44/0.57 % (4092)------------------------------
% 1.44/0.57 % (4092)------------------------------
% 1.44/0.58 % (4094)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.44/0.61 % (4093)Instruction limit reached!
% 1.44/0.61 % (4093)------------------------------
% 1.44/0.61 % (4093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.61 % (4093)Termination reason: Unknown
% 1.44/0.61 % (4093)Termination phase: Property scanning
% 1.44/0.61
% 1.44/0.61 % (4093)Memory used [KB]: 2814
% 1.44/0.61 % (4093)Time elapsed: 0.036 s
% 1.44/0.61 % (4093)Instructions burned: 127 (million)
% 1.44/0.61 % (4093)------------------------------
% 1.44/0.61 % (4093)------------------------------
% 1.44/0.61 % (4094)Instruction limit reached!
% 1.44/0.61 % (4094)------------------------------
% 1.44/0.61 % (4094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.61 % (4094)Termination reason: Unknown
% 1.44/0.61 % (4094)Termination phase: Property scanning
% 1.44/0.61
% 1.44/0.61 % (4094)Memory used [KB]: 2814
% 1.44/0.61 % (4094)Time elapsed: 0.030 s
% 1.44/0.61 % (4094)Instructions burned: 103 (million)
% 1.44/0.61 % (4094)------------------------------
% 1.44/0.61 % (4094)------------------------------
% 1.44/0.62 % (4086)Instruction limit reached!
% 1.44/0.62 % (4086)------------------------------
% 1.44/0.62 % (4086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.62 % (4086)Termination reason: Unknown
% 1.44/0.62 % (4086)Termination phase: Saturation
% 1.44/0.62
% 1.44/0.62 % (4086)Memory used [KB]: 9466
% 1.44/0.62 % (4086)Time elapsed: 0.107 s
% 1.44/0.62 % (4086)Instructions burned: 377 (million)
% 1.44/0.62 % (4086)------------------------------
% 1.44/0.62 % (4086)------------------------------
% 1.44/0.62 % (4095)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)
% 1.44/0.62 % (4095)Instruction limit reached!
% 1.44/0.62 % (4095)------------------------------
% 1.44/0.62 % (4095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.62 % (4095)Termination reason: Unknown
% 1.44/0.62 % (4095)Termination phase: shuffling
% 1.44/0.62
% 1.44/0.62 % (4095)Memory used [KB]: 1535
% 1.44/0.62 % (4095)Time elapsed: 0.003 s
% 1.44/0.62 % (4095)Instructions burned: 6 (million)
% 1.44/0.62 % (4095)------------------------------
% 1.44/0.62 % (4095)------------------------------
% 1.44/0.62 % (4096)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)
% 1.44/0.62 % (4097)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)
% 1.44/0.63 % (4098)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)
% 1.44/0.63 % (4096)Instruction limit reached!
% 1.44/0.63 % (4096)------------------------------
% 1.44/0.63 % (4096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.63 % (4096)Termination reason: Unknown
% 1.44/0.63 % (4096)Termination phase: shuffling
% 1.44/0.63
% 1.44/0.63 % (4096)Memory used [KB]: 1918
% 1.44/0.63 % (4096)Time elapsed: 0.009 s
% 1.44/0.63 % (4096)Instructions burned: 22 (million)
% 1.44/0.63 % (4096)------------------------------
% 1.44/0.63 % (4096)------------------------------
% 2.02/0.64 % (4099)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)
% 2.02/0.65 % (4099)Instruction limit reached!
% 2.02/0.65 % (4099)------------------------------
% 2.02/0.65 % (4099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.65 % (4099)Termination reason: Unknown
% 2.02/0.65 % (4099)Termination phase: shuffling
% 2.02/0.65
% 2.02/0.65 % (4099)Memory used [KB]: 2302
% 2.02/0.65 % (4099)Time elapsed: 0.013 s
% 2.02/0.65 % (4099)Instructions burned: 39 (million)
% 2.02/0.65 % (4099)------------------------------
% 2.02/0.65 % (4099)------------------------------
% 2.02/0.65 % (4082)First to succeed.
% 2.02/0.65 % (4097)Instruction limit reached!
% 2.02/0.65 % (4097)------------------------------
% 2.02/0.65 % (4097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.65 % (4097)Termination reason: Unknown
% 2.02/0.65 % (4097)Termination phase: Property scanning
% 2.02/0.65
% 2.02/0.65 % (4097)Memory used [KB]: 2558
% 2.02/0.65 % (4097)Time elapsed: 0.026 s
% 2.02/0.65 % (4097)Instructions burned: 89 (million)
% 2.02/0.65 % (4097)------------------------------
% 2.02/0.65 % (4097)------------------------------
% 2.02/0.65 % (4082)Refutation found. Thanks to Tanya!
% 2.02/0.65 % SZS status Theorem for theBenchmark
% 2.02/0.65 % SZS output start Proof for theBenchmark
% 2.02/0.65 thf(func_def_0, type, in: $i > $i > $o).
% 2.02/0.65 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.02/0.65 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.02/0.65 thf(func_def_8, type, powerset: $i > $i).
% 2.02/0.65 thf(func_def_10, type, setunion: $i > $i).
% 2.02/0.65 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_26, type, prop2set: $o > $i).
% 2.02/0.65 thf(func_def_36, type, nonempty: $i > $o).
% 2.02/0.65 thf(func_def_69, type, set2prop: $i > $o).
% 2.02/0.65 thf(func_def_88, type, subset: $i > $i > $o).
% 2.02/0.65 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.02/0.65 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.02/0.65 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.02/0.65 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.02/0.65 thf(func_def_135, type, regular: $i > $o).
% 2.02/0.65 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.02/0.65 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.02/0.65 thf(func_def_153, type, iskpair: $i > $o).
% 2.02/0.65 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.02/0.65 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.02/0.65 thf(func_def_177, type, singleton: $i > $o).
% 2.02/0.65 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.02/0.65 thf(func_def_184, type, atmost1p: $i > $o).
% 2.02/0.65 thf(func_def_185, type, atleast2p: $i > $o).
% 2.02/0.65 thf(func_def_186, type, atmost2p: $i > $o).
% 2.02/0.65 thf(func_def_187, type, upairsetp: $i > $o).
% 2.02/0.65 thf(func_def_191, type, kfst: $i > $i).
% 2.02/0.65 thf(func_def_203, type, ksnd: $i > $i).
% 2.02/0.65 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.02/0.65 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.02/0.65 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.02/0.65 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.02/0.65 thf(func_def_323, type, breln1: $i > $i > $o).
% 2.02/0.65 thf(func_def_325, type, breln1Set: $i > $i).
% 2.02/0.65 thf(func_def_327, type, transitive: $i > $i > $o).
% 2.02/0.65 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 2.02/0.65 thf(func_def_329, type, reflexive: $i > $i > $o).
% 2.02/0.65 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 2.02/0.65 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 2.02/0.65 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 2.02/0.65 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 2.02/0.65 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_365, type, sP1: $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_366, type, sP2: $i > $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_368, type, sP4: $o > $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_370, type, sP6: $i > $i > $i > $o).
% 2.02/0.65 thf(func_def_377, type, sP13: $i > $i > $o).
% 2.02/0.65 thf(func_def_378, type, sP14: $i > $o).
% 2.02/0.65 thf(func_def_379, type, sP15: $i > $i > $o).
% 2.02/0.65 thf(func_def_380, type, sP16: $i > $i > $o).
% 2.02/0.65 thf(func_def_386, type, sK22: $i > $i).
% 2.02/0.65 thf(func_def_389, type, sK25: $i > $i > ($i > $i) > $i).
% 2.02/0.65 thf(func_def_400, type, sK36: $i > $o).
% 2.02/0.65 thf(func_def_410, type, sK46: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_411, type, sK47: $i > $o).
% 2.02/0.65 thf(func_def_423, type, sK59: $i > $i > $o).
% 2.02/0.65 thf(func_def_424, type, sK60: $i > $i).
% 2.02/0.65 thf(func_def_425, type, sK61: $i > $i).
% 2.02/0.65 thf(func_def_426, type, sK62: ($i > $i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_427, type, sK63: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_428, type, sK64: ($i > $i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_430, type, sK66: $i > $o).
% 2.02/0.65 thf(func_def_433, type, sK69: $i > $i > $i).
% 2.02/0.65 thf(func_def_439, type, sK75: $i > $i).
% 2.02/0.65 thf(func_def_440, type, sK76: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_441, type, sK77: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_458, type, sK94: $i > $o).
% 2.02/0.65 thf(func_def_460, type, sK96: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_461, type, sK97: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_462, type, sK98: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_471, type, sK107: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_472, type, sK108: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_473, type, sK109: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_474, type, sK110: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_479, type, sK115: $i > $i).
% 2.02/0.65 thf(func_def_481, type, sK117: $i > $i).
% 2.02/0.65 thf(func_def_492, type, sK128: ($i > $i) > $i > $i > $i).
% 2.02/0.65 thf(func_def_495, type, sK131: $i > $i).
% 2.02/0.65 thf(func_def_516, type, sK152: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_517, type, sK153: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_518, type, sK154: $i > $o).
% 2.02/0.65 thf(func_def_523, type, sK159: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_524, type, sK160: $i > $o).
% 2.02/0.65 thf(func_def_525, type, sK161: $i > $i).
% 2.02/0.65 thf(func_def_526, type, sK162: $i > $i > $o).
% 2.02/0.65 thf(func_def_531, type, sK167: $i > $o).
% 2.02/0.65 thf(func_def_533, type, sK169: ($i > $o) > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_534, type, sK170: ($i > $o) > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_544, type, sK180: $i > $i > $o).
% 2.02/0.65 thf(func_def_548, type, sK184: $i > $i).
% 2.02/0.65 thf(func_def_549, type, sK185: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_551, type, sK187: $i > $i > $o).
% 2.02/0.65 thf(func_def_558, type, sK194: $i > $o).
% 2.02/0.65 thf(func_def_568, type, sK204: $i > $o).
% 2.02/0.65 thf(func_def_570, type, sK206: ($i > $o) > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_571, type, sK207: ($i > $o) > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_572, type, sK208: $i > $o).
% 2.02/0.65 thf(func_def_574, type, sK210: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_577, type, sK213: $i > $i > $i).
% 2.02/0.65 thf(func_def_593, type, sK229: ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_594, type, sK230: ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_597, type, sK233: $i > $o).
% 2.02/0.65 thf(func_def_615, type, sK251: $i > $i > $o).
% 2.02/0.65 thf(func_def_626, type, sK262: $i > $i).
% 2.02/0.65 thf(func_def_669, type, sK305: $i > $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_690, type, sK326: $i > $o).
% 2.02/0.65 thf(func_def_697, type, sK333: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_715, type, sK351: $i > $i > $o).
% 2.02/0.65 thf(func_def_719, type, sK355: $i > $i > $i).
% 2.02/0.65 thf(func_def_723, type, sK359: $i > $o).
% 2.02/0.65 thf(func_def_730, type, sK366: $i > $o).
% 2.02/0.65 thf(func_def_731, type, sK367: $i > $i > $i).
% 2.02/0.65 thf(func_def_740, type, sK376: $i > $i > $o).
% 2.02/0.65 thf(func_def_749, type, sK385: $i > $i > $i).
% 2.02/0.65 thf(func_def_750, type, sK386: $i > $i > $i).
% 2.02/0.65 thf(func_def_799, type, sK435: $i > $o).
% 2.02/0.65 thf(func_def_801, type, sK437: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_810, type, sK446: $i > $o).
% 2.02/0.65 thf(func_def_811, type, sK447: $i > $o).
% 2.02/0.65 thf(func_def_812, type, sK448: ($i > $o) > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_813, type, sK449: ($i > $o) > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_823, type, sK459: $i > $i).
% 2.02/0.65 thf(func_def_832, type, sK468: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_833, type, sK469: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_841, type, sK477: $i > $o).
% 2.02/0.65 thf(func_def_844, type, sK480: $i > $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_869, type, sK505: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_870, type, sK506: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_871, type, sK507: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_872, type, sK508: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_895, type, sK531: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_899, type, sK535: $i > $o).
% 2.02/0.65 thf(func_def_956, type, sK592: $i > $o).
% 2.02/0.65 thf(func_def_959, type, sK595: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_963, type, sK599: $o > $i > $i > $i).
% 2.02/0.65 thf(func_def_988, type, sK624: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_989, type, sK625: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_991, type, sK627: $i > $i > $o).
% 2.02/0.65 thf(func_def_993, type, sK629: ($i > $i) > $i > $i > $i).
% 2.02/0.65 thf(func_def_996, type, sK632: $i > $i).
% 2.02/0.65 thf(func_def_997, type, sK633: $i > $o).
% 2.02/0.65 thf(func_def_1015, type, sK651: $i > $o).
% 2.02/0.65 thf(func_def_1018, type, sK654: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1019, type, sK655: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1020, type, sK656: $i > $i).
% 2.02/0.65 thf(func_def_1023, type, sK659: $i > $i > ($i > $i) > $i).
% 2.02/0.65 thf(func_def_1041, type, sK677: $i > $i > $i).
% 2.02/0.65 thf(func_def_1128, type, sK764: $i > $o).
% 2.02/0.65 thf(func_def_1130, type, sK766: ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_1131, type, sK767: ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_1136, type, sK772: $i > $o).
% 2.02/0.65 thf(func_def_1140, type, sK776: $i > $o).
% 2.02/0.65 thf(func_def_1142, type, sK778: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_1146, type, sK782: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1147, type, sK783: $i > $o).
% 2.02/0.65 thf(func_def_1148, type, sK784: $i > $i).
% 2.02/0.65 thf(func_def_1149, type, sK785: $i > $i).
% 2.02/0.65 thf(func_def_1152, type, sK788: $i > $i > ($i > $i) > $i).
% 2.02/0.65 thf(func_def_1171, type, sK807: $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1172, type, sK808: $i > $i > ($i > $i) > $i).
% 2.02/0.65 thf(func_def_1173, type, sK809: $i > $i).
% 2.02/0.65 thf(func_def_1193, type, sK829: $o > $i > $i > $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1195, type, sK831: $i > $o).
% 2.02/0.65 thf(func_def_1209, type, sK845: $i > $i > $i).
% 2.02/0.65 thf(func_def_1217, type, sK853: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_1219, type, sK855: $i > $o).
% 2.02/0.65 thf(func_def_1222, type, sK858: $i > $i).
% 2.02/0.65 thf(func_def_1223, type, sK859: $i > $o).
% 2.02/0.65 thf(func_def_1224, type, sK860: $i > $o).
% 2.02/0.65 thf(func_def_1225, type, sK861: ($i > $o) > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1226, type, sK862: ($i > $o) > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1227, type, sK863: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1228, type, sK864: $i > $o).
% 2.02/0.65 thf(func_def_1259, type, sK895: $i > $o).
% 2.02/0.65 thf(func_def_1261, type, sK897: $i > ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1269, type, sK905: $i > $i).
% 2.02/0.65 thf(func_def_1271, type, sK907: $i > $o).
% 2.02/0.65 thf(func_def_1274, type, sK910: $i > $i > $i).
% 2.02/0.65 thf(func_def_1282, type, sK918: $i > $i > $i).
% 2.02/0.65 thf(func_def_1284, type, sK920: $i > $i > $o).
% 2.02/0.65 thf(func_def_1298, type, sK934: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1308, type, sK944: $i > $o).
% 2.02/0.65 thf(func_def_1322, type, sK958: $i > $o).
% 2.02/0.65 thf(func_def_1324, type, sK960: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_1325, type, sK961: ($i > $o) > $i > $i).
% 2.02/0.65 thf(func_def_1328, type, sK964: $i > $i > $i).
% 2.02/0.65 thf(func_def_1329, type, sK965: $i > $i > $i).
% 2.02/0.65 thf(func_def_1330, type, sK966: $i > $i > $i).
% 2.02/0.65 thf(func_def_1331, type, sK967: $i > $i > $i).
% 2.02/0.65 thf(func_def_1332, type, sK968: $i > $i > $i).
% 2.02/0.65 thf(func_def_1333, type, sK969: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1334, type, sK970: $i > $i).
% 2.02/0.65 thf(func_def_1335, type, sK971: $i > $i).
% 2.02/0.65 thf(func_def_1336, type, sK972: $i > $i).
% 2.02/0.65 thf(func_def_1337, type, sK973: $i > $i).
% 2.02/0.65 thf(func_def_1338, type, sK974: $i > $i > $i).
% 2.02/0.65 thf(func_def_1339, type, sK975: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1340, type, sK976: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1341, type, sK977: $i > $i > $i).
% 2.02/0.65 thf(func_def_1342, type, sK978: $i > $i > $i).
% 2.02/0.65 thf(func_def_1344, type, sK980: $i > $i).
% 2.02/0.65 thf(func_def_1345, type, sK981: $i > $i).
% 2.02/0.65 thf(func_def_1346, type, sK982: $i > $i).
% 2.02/0.65 thf(func_def_1347, type, sK983: $i > $o).
% 2.02/0.65 thf(func_def_1348, type, sK984: ($i > $o) > $i).
% 2.02/0.65 thf(func_def_1355, type, sK991: $i > $i > $i > $i).
% 2.02/0.65 thf(func_def_1368, type, sK1004: $i > $i > $o).
% 2.02/0.65 thf(func_def_1369, type, sK1005: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_1370, type, sK1006: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.02/0.65 thf(func_def_1373, type, sK1009: $i > $o).
% 2.02/0.65 thf(func_def_1374, type, sK1010: $i > $o).
% 2.02/0.65 thf(func_def_1375, type, sK1011: $i > $o).
% 2.02/0.65 thf(func_def_1382, type, ph1018: !>[X0: $tType]:(X0)).
% 2.02/0.65 thf(f4926,plain,(
% 2.02/0.65 $false),
% 2.02/0.65 inference(avatar_sat_refutation,[],[f4866,f4874,f4911])).
% 2.02/0.65 thf(f4911,plain,(
% 2.02/0.65 ~spl1017_8),
% 2.02/0.65 inference(avatar_contradiction_clause,[],[f4910])).
% 2.02/0.65 thf(f4910,plain,(
% 2.02/0.65 $false | ~spl1017_8),
% 2.02/0.65 inference(trivial_inequality_removal,[],[f4906])).
% 2.02/0.65 thf(f4906,plain,(
% 2.02/0.65 ($true != $true) | ~spl1017_8),
% 2.02/0.65 inference(superposition,[],[f4308,f4846])).
% 2.02/0.65 thf(f4846,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK887)) | ~spl1017_8),
% 2.02/0.65 inference(avatar_component_clause,[],[f4844])).
% 2.02/0.65 thf(f4844,plain,(
% 2.02/0.65 spl1017_8 <=> ($true = (in @ (kpair @ sK888 @ sK889) @ sK887))),
% 2.02/0.65 introduced(avatar_definition,[new_symbols(naming,[spl1017_8])])).
% 2.02/0.65 thf(f4308,plain,(
% 2.02/0.65 ($true != (in @ (kpair @ sK888 @ sK889) @ sK887))),
% 2.02/0.65 inference(cnf_transformation,[],[f2708])).
% 2.02/0.65 thf(f2708,plain,(
% 2.02/0.65 (breln1SetBreln1 = $true) & (binunionIR = $true) & (prop2setE = $true) & (symdiffIneg1 = $true) & (beta2 = $true) & (funcImageSingleton = $true) & (funcext2 = $true) & (foundationAx = $true) & (kpairp = $true) & (quantDeMorgan3 = $true) & (disjointsetsI1 = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (dpsetconstrERa = $true) & (cartprodmempair = $true) & (iffalseProp1 = $true) & (binunionTIRcontra = $true) & (cartprodmempair1 = $true) & (intersectInPowersetIntersectUnions = $true) & (doubleComplementI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (woz1_1 = $true) & (doubleComplementE1 = $true) & (subPowSU = $true) & (exuI2 = $true) & (uniqinunit = $true) & (notequalI1 = $true) & (binunionTE = $true) & (emptysetAx = $true) & (emptyset__Cong = $true) & (binunionE = $true) & (demorgan2b = $true) & (notsubsetI = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (kfstpairEq = $true) & (notinemptyset = $true) & (inComplementUnionImpInComplement1 = $true) & (noeltsimpempty = $true) & (setOfPairsIsBReln1 = $true) & (dsetconstrEL = $true) & (breln1compI = $true) & (setunionE = $true) & (contrasubsetT = $true) & (binintersectLsub = $true) & (exuI3 = $true) & (binunionEcases = $true) & (vacuousDall = $true) & (cartprodfstin = $true) & (demorgan2a2 = $true) & (binintersectSubset2 = $true) & (singletonsuniq = $true) & (bs114d = $true) & (demorgan1b = $true) & (upairequniteq = $true) & (singletonsswitch = $true) & (setminusILneg = $true) & (inPowerset = $true) & (demorgan1 = $true) & (setunionsingleton = $true) & (kpairiskpair = $true) & (quantDeMorgan1 = $true) & (funcinfuncset = $true) & (binunionTILcontra = $true) & (nonemptyImpWitness = $true) & (emptyinPowerset = $true) & (binintersectSubset1 = $true) & (quantDeMorgan4 = $true) & (binintersectER = $true) & (funcGraphProp2 = $true) & (descr__Cong = $true) & (kfstsingleton = $true) & (binunionRsub = $true) & (breln1unionIR = $true) & (complementInPowersetComplementIntersect = $true) & (binintersectSubset4 = $true) & (setunionE2 = $true) & (exuE2 = $true) & (breln1compprop = $true) & (kpairsurjEq = $true) & (powersetsubset = $true) & (powersetI = $true) & (iffalseProp2 = $true) & (setadjoinOr = $true) & (setextsub = $true) & (emptysetE = $true) & (contrasubsetT2 = $true) & (secondinupair = $true) & (ex1E1 = $true) & (setadjoinSub2 = $true) & ((((($true != (in @ (kpair @ sK888 @ sK889) @ sK885)) & ((in @ sK889 @ sK886) = $true) & ($true = (in @ (kpair @ sK888 @ sK889) @ (binunion @ sK885 @ sK887))) & ($true != (in @ (kpair @ sK888 @ sK889) @ sK887))) & ($true = (in @ sK888 @ sK886))) & ($true = (breln1 @ sK886 @ sK887))) & ($true = (breln1 @ sK886 @ sK885))) & (woz1_3 = $true) & (subsetI1 = $true) & (powerset__Cong = $true) & (lamProp = $true) & (subsetTI = $true) & (subsetRefl = $true) & (setukpairinjL = $true) & (setukpairinjR = $true) & (demorgan2b2 = $true) & (breln1all2 = $true) & (binintersectTELcontra = $true) & (quantDeMorgan2 = $true) & (eqimpsubset1 = $true) & (eqbreln = $true) & (setunionsingleton1 = $true) & (setukpairinjL1 = $true) & (binintersectTERcontra = $true) & (woz13rule1 = $true) & (omega0Ax = $true) & (woz1_5 = $true) & (setbeta = $true) & (lam2lamEq = $true) & (descrp = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (setminusERneg = $true) & (setukpairIR = $true) & (ifSingleton = $true) & (funcextLem = $true) & (apProp = $true) & (ksndsingleton = $true) & (omegaIndAx = $true) & (upairsetE = $true) & (subsetI2 = $true) & (subset2powerset = $true) & (brelnall2 = $true) & (binintersectSubset5 = $true) & (setukpairinjR2 = $true) & (subsetTrans = $true) & (dsetconstrER = $true) & (complementT_lem = $true) & (ex1I = $true) & (setminusEL = $true) & (funcext = $true) & (demorgan2a1 = $true) & (cartprodsndin = $true) & (notdallE = $true) & (symdiffI2 = $true) & (powersetTE1 = $true) & (woz1_2 = $true) & (dpsetconstrEL2 = $true) & (exu__Cong = $true) & (contrasubsetT1 = $true) & (complementImpComplementIntersect = $true) & (powersetE1 = $true) & (binintersectI = $true) & (complementTE1 = $true) & (woz13rule3 = $true) & (powersetTI1 = $true) & (ex1E2 = $true) & (lamp = $true) & (dsetconstr__Cong = $true) & (beta1 = $true) & (emptysetimpfalse = $true) & (cartprodpairmemER = $true) & (setukpairinjR1 = $true) & (complementTcontraSubset = $true) & (inComplementUnionImpNotIn1 = $true) & (breln1invI = $true) & (powersetT_lem = $true) & (subsetE2 = $true) & (prop2set2propI = $true) & (ubforcartprodlem3 = $true) & (notequalI2 = $true) & (eqbreln1 = $true) & (symdiffIneg2 = $true) & (setadjoinAx = $true) & (binintersectEL = $true) & (upairset2E = $true) & (iftrueProp1 = $true) & (complementTnotintersectT = $true) & (emptyInPowerset = $true) & (binunionT_lem = $true) & (ap2p = $true) & (setukpairinjL2 = $true) & (omega__Cong = $true) & (funcGraphProp3 = $true) & (binintersectT_lem = $true) & (complementSubsetComplementIntersect = $true) & (ubforcartprodlem1 = $true) & (setextT = $true) & (setminusER = $true) & (wellorderingAx = $true) & (upairsetIR = $true) & (dpsetconstrI = $true) & (breln1unionprop = $true) & (setext = $true) & (setOfPairsIsBReln = $true) & (setminusLsub = $true) & (funcGraphProp1 = $true) & (notdexE = $true) & (setadjoin__Cong = $true) & (symdiffI1 = $true) & (emptyinunitempty = $true) & (upairsetIL = $true) & (subbreln1 = $true) & (demorgan2a = $true) & (setunionI = $true) & (setminusI = $true) & (dsetconstrI = $true) & (inIntersectImpInUnion = $true) & (ifp = $true) & (binintersectSubset3 = $true) & (binintersectRsub = $true) & (eqinunit = $true) & (subsetE = $true) & (iftrue = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (woz1_4 = $true) & (cartprodmempaircEq = $true) & (eqimpsubset2 = $true) & (choice2fnsingleton = $true) & (setminusT_lem = $true) & (setunionsingleton2 = $true) & (dpsetconstrER = $true) & (dpsetconstrEL1 = $true) & (setukpairIL = $true) & (contraSubsetComplement = $true) & (setminusSubset1 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan1a = $true) & (setukpairinjR12 = $true) & (demorgan2 = $true) & (setadjoinIR = $true) & (cartprodpairin = $true) & (woz13rule0 = $true) & (setminusELneg = $true) & (doubleComplementEq = $true) & (app = $true) & (breln1all1 = $true) & (setadjoinSub = $true) & (exuEu = $true) & (breln1invprop = $true) & (notinsingleton = $true) & (singletonsubset = $true) & (replAx = $true) & (ubforcartprodlem2 = $true) & (theeq = $true) & (iftrueProp2 = $true) & (setadjoinE = $true) & (symdiffE = $true) & (contrasubsetT3 = $true) & (doubleComplementSub2 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (setunion__Cong = $true) & (funcGraphProp4 = $true) & (sepSubset = $true) & (emptyE1 = $true) & (setoftrueEq = $true) & (upairset2IR = $true) & (inIntersectImpInUnion2 = $true) & (binunionTEcontra = $true) & (doubleComplementSub1 = $true) & (setukpairinjR11 = $true) & (cartprodfstpairEq = $true) & (iftrueorfalse = $true) & (theprop = $true) & (powersetAx = $true) & (cartprodpairsurjEq = $true) & (complementTI1 = $true) & (brelnall1 = $true) & (eta1 = $true) & (exuE3e = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (emptyI = $true) & (subbreln = $true) & (ap2apEq2 = $true) & (powersetI1 = $true) & (eta2 = $true) & (iffalse = $true) & (exuE3u = $true) & (subsetemptysetimpeq = $true) & (woz13rule2 = $true) & (ksndpairEq = $true) & (cartprodsndpairEq = $true) & (ap2apEq1 = $true) & (breln1unionI = $true) & (breln1compEex = $true) & (dpsetconstrSub = $true) & (upairsubunion = $true) & (binunionLsub = $true) & (breln1invE = $true) & (setminusIRneg = $true) & (breln1compE = $true) & (breln1unionIL = $true) & (upairinpowunion = $true) & (singletonprop = $true) & (binunionIL = $true) & (powersetE = $true) & (setextAx = $true) & (exuI1 = $true) & (ex1I2 = $true) & (prop2setI = $true) & (lam2p = $true) & (woz13rule4 = $true) & (infuncsetfunc = $true) & (setminusSubset2 = $true) & (exuE1 = $true) & (sepInPowerset = $true)),
% 2.02/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK885,sK886,sK887,sK888,sK889])],[f1010,f2707,f2706,f2705,f2704])).
% 2.02/0.65 thf(f2704,plain,(
% 2.02/0.65 ? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ X0)) & ($true = (in @ X4 @ X1)) & ($true = (in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2))) & ($true != (in @ (kpair @ X3 @ X4) @ X2))) & ($true = (in @ X3 @ X1))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) => (? [X2] : (? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ($true = (in @ (kpair @ X3 @ X4) @ (binunion @ sK885 @ X2))) & ($true != (in @ (kpair @ X3 @ X4) @ X2))) & ($true = (in @ X3 @ sK886))) & ($true = (breln1 @ sK886 @ X2))) & ($true = (breln1 @ sK886 @ sK885)))),
% 2.02/0.65 introduced(choice_axiom,[])).
% 2.02/0.65 thf(f2705,plain,(
% 2.02/0.65 ? [X2] : (? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ($true = (in @ (kpair @ X3 @ X4) @ (binunion @ sK885 @ X2))) & ($true != (in @ (kpair @ X3 @ X4) @ X2))) & ($true = (in @ X3 @ sK886))) & ($true = (breln1 @ sK886 @ X2))) => (? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK885 @ sK887)) = $true) & ($true != (in @ (kpair @ X3 @ X4) @ sK887))) & ($true = (in @ X3 @ sK886))) & ($true = (breln1 @ sK886 @ sK887)))),
% 2.02/0.65 introduced(choice_axiom,[])).
% 2.02/0.65 thf(f2706,plain,(
% 2.02/0.65 ? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK885 @ sK887)) = $true) & ($true != (in @ (kpair @ X3 @ X4) @ sK887))) & ($true = (in @ X3 @ sK886))) => (? [X4] : (($true != (in @ (kpair @ sK888 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ((in @ (kpair @ sK888 @ X4) @ (binunion @ sK885 @ sK887)) = $true) & ($true != (in @ (kpair @ sK888 @ X4) @ sK887))) & ($true = (in @ sK888 @ sK886)))),
% 2.02/0.65 introduced(choice_axiom,[])).
% 2.02/0.65 thf(f2707,plain,(
% 2.02/0.65 ? [X4] : (($true != (in @ (kpair @ sK888 @ X4) @ sK885)) & ($true = (in @ X4 @ sK886)) & ((in @ (kpair @ sK888 @ X4) @ (binunion @ sK885 @ sK887)) = $true) & ($true != (in @ (kpair @ sK888 @ X4) @ sK887))) => (($true != (in @ (kpair @ sK888 @ sK889) @ sK885)) & ((in @ sK889 @ sK886) = $true) & ($true = (in @ (kpair @ sK888 @ sK889) @ (binunion @ sK885 @ sK887))) & ($true != (in @ (kpair @ sK888 @ sK889) @ sK887)))),
% 2.02/0.65 introduced(choice_axiom,[])).
% 2.02/0.65 thf(f1010,plain,(
% 2.02/0.65 (breln1SetBreln1 = $true) & (binunionIR = $true) & (prop2setE = $true) & (symdiffIneg1 = $true) & (beta2 = $true) & (funcImageSingleton = $true) & (funcext2 = $true) & (foundationAx = $true) & (kpairp = $true) & (quantDeMorgan3 = $true) & (disjointsetsI1 = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (dpsetconstrERa = $true) & (cartprodmempair = $true) & (iffalseProp1 = $true) & (binunionTIRcontra = $true) & (cartprodmempair1 = $true) & (intersectInPowersetIntersectUnions = $true) & (doubleComplementI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (woz1_1 = $true) & (doubleComplementE1 = $true) & (subPowSU = $true) & (exuI2 = $true) & (uniqinunit = $true) & (notequalI1 = $true) & (binunionTE = $true) & (emptysetAx = $true) & (emptyset__Cong = $true) & (binunionE = $true) & (demorgan2b = $true) & (notsubsetI = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (kfstpairEq = $true) & (notinemptyset = $true) & (inComplementUnionImpInComplement1 = $true) & (noeltsimpempty = $true) & (setOfPairsIsBReln1 = $true) & (dsetconstrEL = $true) & (breln1compI = $true) & (setunionE = $true) & (contrasubsetT = $true) & (binintersectLsub = $true) & (exuI3 = $true) & (binunionEcases = $true) & (vacuousDall = $true) & (cartprodfstin = $true) & (demorgan2a2 = $true) & (binintersectSubset2 = $true) & (singletonsuniq = $true) & (bs114d = $true) & (demorgan1b = $true) & (upairequniteq = $true) & (singletonsswitch = $true) & (setminusILneg = $true) & (inPowerset = $true) & (demorgan1 = $true) & (setunionsingleton = $true) & (kpairiskpair = $true) & (quantDeMorgan1 = $true) & (funcinfuncset = $true) & (binunionTILcontra = $true) & (nonemptyImpWitness = $true) & (emptyinPowerset = $true) & (binintersectSubset1 = $true) & (quantDeMorgan4 = $true) & (binintersectER = $true) & (funcGraphProp2 = $true) & (descr__Cong = $true) & (kfstsingleton = $true) & (binunionRsub = $true) & (breln1unionIR = $true) & (complementInPowersetComplementIntersect = $true) & (binintersectSubset4 = $true) & (setunionE2 = $true) & (exuE2 = $true) & (breln1compprop = $true) & (kpairsurjEq = $true) & (powersetsubset = $true) & (powersetI = $true) & (iffalseProp2 = $true) & (setadjoinOr = $true) & (setextsub = $true) & (emptysetE = $true) & (contrasubsetT2 = $true) & (secondinupair = $true) & (ex1E1 = $true) & (setadjoinSub2 = $true) & ? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : (($true != (in @ (kpair @ X3 @ X4) @ X0)) & ($true = (in @ X4 @ X1)) & ($true = (in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2))) & ($true != (in @ (kpair @ X3 @ X4) @ X2))) & ($true = (in @ X3 @ X1))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) & (woz1_3 = $true) & (subsetI1 = $true) & (powerset__Cong = $true) & (lamProp = $true) & (subsetTI = $true) & (subsetRefl = $true) & (setukpairinjL = $true) & (setukpairinjR = $true) & (demorgan2b2 = $true) & (breln1all2 = $true) & (binintersectTELcontra = $true) & (quantDeMorgan2 = $true) & (eqimpsubset1 = $true) & (eqbreln = $true) & (setunionsingleton1 = $true) & (setukpairinjL1 = $true) & (binintersectTERcontra = $true) & (woz13rule1 = $true) & (omega0Ax = $true) & (woz1_5 = $true) & (setbeta = $true) & (lam2lamEq = $true) & (descrp = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (setminusERneg = $true) & (setukpairIR = $true) & (ifSingleton = $true) & (funcextLem = $true) & (apProp = $true) & (ksndsingleton = $true) & (omegaIndAx = $true) & (upairsetE = $true) & (subsetI2 = $true) & (subset2powerset = $true) & (brelnall2 = $true) & (binintersectSubset5 = $true) & (setukpairinjR2 = $true) & (subsetTrans = $true) & (dsetconstrER = $true) & (complementT_lem = $true) & (ex1I = $true) & (setminusEL = $true) & (funcext = $true) & (demorgan2a1 = $true) & (cartprodsndin = $true) & (notdallE = $true) & (symdiffI2 = $true) & (powersetTE1 = $true) & (woz1_2 = $true) & (dpsetconstrEL2 = $true) & (exu__Cong = $true) & (contrasubsetT1 = $true) & (complementImpComplementIntersect = $true) & (powersetE1 = $true) & (binintersectI = $true) & (complementTE1 = $true) & (woz13rule3 = $true) & (powersetTI1 = $true) & (ex1E2 = $true) & (lamp = $true) & (dsetconstr__Cong = $true) & (beta1 = $true) & (emptysetimpfalse = $true) & (cartprodpairmemER = $true) & (setukpairinjR1 = $true) & (complementTcontraSubset = $true) & (inComplementUnionImpNotIn1 = $true) & (breln1invI = $true) & (powersetT_lem = $true) & (subsetE2 = $true) & (prop2set2propI = $true) & (ubforcartprodlem3 = $true) & (notequalI2 = $true) & (eqbreln1 = $true) & (symdiffIneg2 = $true) & (setadjoinAx = $true) & (binintersectEL = $true) & (upairset2E = $true) & (iftrueProp1 = $true) & (complementTnotintersectT = $true) & (emptyInPowerset = $true) & (binunionT_lem = $true) & (ap2p = $true) & (setukpairinjL2 = $true) & (omega__Cong = $true) & (funcGraphProp3 = $true) & (binintersectT_lem = $true) & (complementSubsetComplementIntersect = $true) & (ubforcartprodlem1 = $true) & (setextT = $true) & (setminusER = $true) & (wellorderingAx = $true) & (upairsetIR = $true) & (dpsetconstrI = $true) & (breln1unionprop = $true) & (setext = $true) & (setOfPairsIsBReln = $true) & (setminusLsub = $true) & (funcGraphProp1 = $true) & (notdexE = $true) & (setadjoin__Cong = $true) & (symdiffI1 = $true) & (emptyinunitempty = $true) & (upairsetIL = $true) & (subbreln1 = $true) & (demorgan2a = $true) & (setunionI = $true) & (setminusI = $true) & (dsetconstrI = $true) & (inIntersectImpInUnion = $true) & (ifp = $true) & (binintersectSubset3 = $true) & (binintersectRsub = $true) & (eqinunit = $true) & (subsetE = $true) & (iftrue = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (woz1_4 = $true) & (cartprodmempaircEq = $true) & (eqimpsubset2 = $true) & (choice2fnsingleton = $true) & (setminusT_lem = $true) & (setunionsingleton2 = $true) & (dpsetconstrER = $true) & (dpsetconstrEL1 = $true) & (setukpairIL = $true) & (contraSubsetComplement = $true) & (setminusSubset1 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan1a = $true) & (setukpairinjR12 = $true) & (demorgan2 = $true) & (setadjoinIR = $true) & (cartprodpairin = $true) & (woz13rule0 = $true) & (setminusELneg = $true) & (doubleComplementEq = $true) & (app = $true) & (breln1all1 = $true) & (setadjoinSub = $true) & (exuEu = $true) & (breln1invprop = $true) & (notinsingleton = $true) & (singletonsubset = $true) & (replAx = $true) & (ubforcartprodlem2 = $true) & (theeq = $true) & (iftrueProp2 = $true) & (setadjoinE = $true) & (symdiffE = $true) & (contrasubsetT3 = $true) & (doubleComplementSub2 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (setunion__Cong = $true) & (funcGraphProp4 = $true) & (sepSubset = $true) & (emptyE1 = $true) & (setoftrueEq = $true) & (upairset2IR = $true) & (inIntersectImpInUnion2 = $true) & (binunionTEcontra = $true) & (doubleComplementSub1 = $true) & (setukpairinjR11 = $true) & (cartprodfstpairEq = $true) & (iftrueorfalse = $true) & (theprop = $true) & (powersetAx = $true) & (cartprodpairsurjEq = $true) & (complementTI1 = $true) & (brelnall1 = $true) & (eta1 = $true) & (exuE3e = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (emptyI = $true) & (subbreln = $true) & (ap2apEq2 = $true) & (powersetI1 = $true) & (eta2 = $true) & (iffalse = $true) & (exuE3u = $true) & (subsetemptysetimpeq = $true) & (woz13rule2 = $true) & (ksndpairEq = $true) & (cartprodsndpairEq = $true) & (ap2apEq1 = $true) & (breln1unionI = $true) & (breln1compEex = $true) & (dpsetconstrSub = $true) & (upairsubunion = $true) & (binunionLsub = $true) & (breln1invE = $true) & (setminusIRneg = $true) & (breln1compE = $true) & (breln1unionIL = $true) & (upairinpowunion = $true) & (singletonprop = $true) & (binunionIL = $true) & (powersetE = $true) & (setextAx = $true) & (exuI1 = $true) & (ex1I2 = $true) & (prop2setI = $true) & (lam2p = $true) & (woz13rule4 = $true) & (infuncsetfunc = $true) & (setminusSubset2 = $true) & (exuE1 = $true) & (sepInPowerset = $true)),
% 2.02/0.65 inference(flattening,[],[f1009])).
% 2.02/0.65 thf(f1009,plain,(
% 2.02/0.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : (((($true != (in @ (kpair @ X3 @ X4) @ X0)) & ($true != (in @ (kpair @ X3 @ X4) @ X2))) & ($true = (in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)))) & ($true = (in @ X4 @ X1))) & ($true = (in @ X3 @ X1))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 2.02/0.65 inference(ennf_transformation,[],[f694])).
% 2.02/0.65 thf(f694,plain,(
% 2.02/0.65 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((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 = $true) => ! [X0,X1] : (($true = (breln1 @ X1 @ X0)) => ! [X2] : (($true = (breln1 @ X1 @ X2)) => ! [X3] : (($true = (in @ X3 @ X1)) => ! [X4] : (($true = (in @ X4 @ X1)) => (($true = (in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2))) => (($true = (in @ (kpair @ X3 @ X4) @ X0)) | ($true = (in @ (kpair @ X3 @ X4) @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.02/0.65 inference(fool_elimination,[],[f693])).
% 2.02/0.65 thf(f693,plain,(
% 2.02/0.65 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (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 => ! [X0,X1] : ((breln1 @ X1 @ X0) => ! [X2] : ((breln1 @ X1 @ X2) => ! [X3] : ((in @ X3 @ X1) => ! [X4] : ((in @ X4 @ X1) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) => ((in @ (kpair @ X3 @ X4) @ X2) | (in @ (kpair @ X3 @ X4) @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.02/0.65 inference(rectify,[],[f306])).
% 2.02/0.65 thf(f306,negated_conjecture,(
% 2.02/0.65 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (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 => ! [X13,X3] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ((in @ (kpair @ X1 @ X2) @ X15) | (in @ (kpair @ X1 @ X2) @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.02/0.65 inference(negated_conjecture,[],[f305])).
% 2.02/0.65 thf(f305,conjecture,(
% 2.02/0.65 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (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 => ! [X13,X3] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ((in @ (kpair @ X1 @ X2) @ X15) | (in @ (kpair @ X1 @ X2) @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.02/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionE)).
% 2.02/0.65 thf(f4874,plain,(
% 2.02/0.65 ~spl1017_6),
% 2.02/0.65 inference(avatar_contradiction_clause,[],[f4873])).
% 2.02/0.65 thf(f4873,plain,(
% 2.02/0.65 $false | ~spl1017_6),
% 2.02/0.65 inference(trivial_inequality_removal,[],[f4870])).
% 2.02/0.65 thf(f4870,plain,(
% 2.02/0.65 ($true != $true) | ~spl1017_6),
% 2.02/0.65 inference(superposition,[],[f4311,f4839])).
% 2.02/0.65 thf(f4839,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK885)) | ~spl1017_6),
% 2.02/0.65 inference(avatar_component_clause,[],[f4837])).
% 2.02/0.65 thf(f4837,plain,(
% 2.02/0.65 spl1017_6 <=> ($true = (in @ (kpair @ sK888 @ sK889) @ sK885))),
% 2.02/0.65 introduced(avatar_definition,[new_symbols(naming,[spl1017_6])])).
% 2.02/0.65 thf(f4311,plain,(
% 2.02/0.65 ($true != (in @ (kpair @ sK888 @ sK889) @ sK885))),
% 2.02/0.65 inference(cnf_transformation,[],[f2708])).
% 2.02/0.65 thf(f4866,plain,(
% 2.02/0.65 spl1017_6 | spl1017_8),
% 2.02/0.65 inference(avatar_split_clause,[],[f4865,f4844,f4837])).
% 2.02/0.65 thf(f4865,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK885)) | ($true = (in @ (kpair @ sK888 @ sK889) @ sK887))),
% 2.02/0.65 inference(trivial_inequality_removal,[],[f4864])).
% 2.02/0.65 thf(f4864,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK887)) | ($true = (in @ (kpair @ sK888 @ sK889) @ sK885)) | ($true != $true)),
% 2.02/0.65 inference(forward_demodulation,[],[f4824,f4371])).
% 2.02/0.65 thf(f4371,plain,(
% 2.02/0.65 (binunionE = $true)),
% 2.02/0.65 inference(cnf_transformation,[],[f2708])).
% 2.02/0.65 thf(f4824,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK885)) | ($true = (in @ (kpair @ sK888 @ sK889) @ sK887)) | (binunionE != $true)),
% 2.02/0.65 inference(trivial_inequality_removal,[],[f4818])).
% 2.02/0.65 thf(f4818,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ sK885)) | ($true != $true) | ($true = (in @ (kpair @ sK888 @ sK889) @ sK887)) | (binunionE != $true)),
% 2.02/0.65 inference(superposition,[],[f3440,f4309])).
% 2.02/0.65 thf(f4309,plain,(
% 2.02/0.65 ($true = (in @ (kpair @ sK888 @ sK889) @ (binunion @ sK885 @ sK887)))),
% 2.02/0.65 inference(cnf_transformation,[],[f2708])).
% 2.02/0.65 thf(f3440,plain,(
% 2.02/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X0 @ (binunion @ X1 @ X2))) | ($true = (in @ X0 @ X1)) | (binunionE != $true) | ($true = (in @ X0 @ X2))) )),
% 2.02/0.65 inference(cnf_transformation,[],[f1978])).
% 2.02/0.65 thf(f1978,plain,(
% 2.02/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ (binunion @ X1 @ X2)))) | (binunionE != $true)) & ((binunionE = $true) | (($true != (in @ sK412 @ sK413)) & ($true != (in @ sK412 @ sK414)) & ($true = (in @ sK412 @ (binunion @ sK413 @ sK414)))))),
% 2.02/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK412,sK413,sK414])],[f1976,f1977])).
% 2.02/0.65 thf(f1977,plain,(
% 2.02/0.65 ? [X3,X4,X5] : (($true != (in @ X3 @ X4)) & ($true != (in @ X3 @ X5)) & ($true = (in @ X3 @ (binunion @ X4 @ X5)))) => (($true != (in @ sK412 @ sK413)) & ($true != (in @ sK412 @ sK414)) & ($true = (in @ sK412 @ (binunion @ sK413 @ sK414))))),
% 2.02/0.65 introduced(choice_axiom,[])).
% 2.02/0.65 thf(f1976,plain,(
% 2.02/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ (binunion @ X1 @ X2)))) | (binunionE != $true)) & ((binunionE = $true) | ? [X3,X4,X5] : (($true != (in @ X3 @ X4)) & ($true != (in @ X3 @ X5)) & ($true = (in @ X3 @ (binunion @ X4 @ X5)))))),
% 2.02/0.65 inference(rectify,[],[f1975])).
% 2.02/0.65 thf(f1975,plain,(
% 2.02/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ (binunion @ X1 @ X2)))) | (binunionE != $true)) & ((binunionE = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ X1)) & ($true != (in @ X0 @ X2)) & ($true = (in @ X0 @ (binunion @ X1 @ X2)))))),
% 2.02/0.65 inference(nnf_transformation,[],[f1033])).
% 2.02/0.65 thf(f1033,plain,(
% 2.02/0.65 ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ (binunion @ X1 @ X2)))) <=> (binunionE = $true)),
% 2.02/0.65 inference(flattening,[],[f1032])).
% 2.02/0.65 thf(f1032,plain,(
% 2.02/0.65 (binunionE = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ X1))) | ($true != (in @ X0 @ (binunion @ X1 @ X2))))),
% 2.02/0.65 inference(ennf_transformation,[],[f887])).
% 2.02/0.65 thf(f887,plain,(
% 2.02/0.65 (binunionE = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ (binunion @ X1 @ X2))) => (($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ X1))))),
% 2.02/0.65 inference(fool_elimination,[],[f886])).
% 2.02/0.65 thf(f886,plain,(
% 2.02/0.65 (! [X0,X1,X2] : ((in @ X0 @ (binunion @ X1 @ X2)) => ((in @ X0 @ X1) | (in @ X0 @ X2))) = binunionE)),
% 2.02/0.65 inference(rectify,[],[f105])).
% 2.02/0.65 thf(f105,axiom,(
% 2.02/0.65 (! [X1,X3,X4] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X3) | (in @ X1 @ X4))) = binunionE)),
% 2.02/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionE)).
% 2.02/0.65 % SZS output end Proof for theBenchmark
% 2.02/0.65 % (4082)------------------------------
% 2.02/0.65 % (4082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.65 % (4082)Termination reason: Refutation
% 2.02/0.65
% 2.02/0.65 % (4082)Memory used [KB]: 11385
% 2.02/0.65 % (4082)Time elapsed: 0.171 s
% 2.02/0.65 % (4082)Instructions burned: 416 (million)
% 2.02/0.65 % (4082)------------------------------
% 2.02/0.65 % (4082)------------------------------
% 2.02/0.65 % (4038)Success in time 0.291 s
% 2.02/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------