TSTP Solution File: SEU813^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU813^1 : 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 : n002.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 03:51:45 EDT 2024
% Result : Theorem 7.02s 1.33s
% Output : Refutation 7.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU813^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.15 % 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
% 0.15/0.38 % Computer : n002.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sun May 19 16:22:53 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TH0_THM_EQU_NAR problem
% 0.15/0.38 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
% 0.24/0.43 % (23146)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)
% 0.24/0.43 % (23145)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)
% 0.24/0.43 % (23142)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)
% 0.24/0.43 % (23141)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.24/0.43 % (23143)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)
% 0.24/0.43 % (23144)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.43 % (23147)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.43 % (23148)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)
% 0.24/0.44 % (23148)Instruction limit reached!
% 0.24/0.44 % (23148)------------------------------
% 0.24/0.44 % (23148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (23148)Termination reason: Unknown
% 0.24/0.44 % (23148)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (23148)Memory used [KB]: 1663
% 0.24/0.44 % (23148)Time elapsed: 0.003 s
% 0.24/0.44 % (23148)Instructions burned: 3 (million)
% 0.24/0.44 % (23144)Instruction limit reached!
% 0.24/0.44 % (23144)------------------------------
% 0.24/0.44 % (23144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (23144)Termination reason: Unknown
% 0.24/0.44 % (23144)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (23144)Memory used [KB]: 1663
% 0.24/0.44 % (23144)Time elapsed: 0.004 s
% 0.24/0.44 % (23144)Instructions burned: 3 (million)
% 0.24/0.44 % (23144)------------------------------
% 0.24/0.44 % (23144)------------------------------
% 0.24/0.44 % (23148)------------------------------
% 0.24/0.44 % (23148)------------------------------
% 0.24/0.44 % (23145)Instruction limit reached!
% 0.24/0.44 % (23145)------------------------------
% 0.24/0.44 % (23145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (23145)Termination reason: Unknown
% 0.24/0.44 % (23145)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (23145)Memory used [KB]: 1663
% 0.24/0.44 % (23145)Time elapsed: 0.004 s
% 0.24/0.44 % (23145)Instructions burned: 3 (million)
% 0.24/0.44 % (23145)------------------------------
% 0.24/0.44 % (23145)------------------------------
% 0.24/0.44 % (23142)Instruction limit reached!
% 0.24/0.44 % (23142)------------------------------
% 0.24/0.44 % (23142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (23142)Termination reason: Unknown
% 0.24/0.44 % (23142)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (23142)Memory used [KB]: 1663
% 0.24/0.44 % (23142)Time elapsed: 0.005 s
% 0.24/0.44 % (23142)Instructions burned: 5 (million)
% 0.24/0.44 % (23142)------------------------------
% 0.24/0.44 % (23142)------------------------------
% 0.24/0.44 % (23147)Instruction limit reached!
% 0.24/0.44 % (23147)------------------------------
% 0.24/0.44 % (23147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (23147)Termination reason: Unknown
% 0.24/0.44 % (23147)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (23147)Memory used [KB]: 1918
% 0.24/0.44 % (23147)Time elapsed: 0.013 s
% 0.24/0.44 % (23147)Instructions burned: 19 (million)
% 0.24/0.45 % (23147)------------------------------
% 0.24/0.45 % (23147)------------------------------
% 0.24/0.45 % (23143)Instruction limit reached!
% 0.24/0.45 % (23143)------------------------------
% 0.24/0.45 % (23143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (23143)Termination reason: Unknown
% 0.24/0.45 % (23143)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (23143)Memory used [KB]: 2174
% 0.24/0.45 % (23143)Time elapsed: 0.016 s
% 0.24/0.45 % (23143)Instructions burned: 28 (million)
% 0.24/0.45 % (23143)------------------------------
% 0.24/0.45 % (23143)------------------------------
% 0.24/0.45 % (23149)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)
% 0.24/0.45 % (23151)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)
% 0.24/0.45 % (23150)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)
% 0.24/0.45 % (23152)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)
% 0.24/0.45 % (23151)Instruction limit reached!
% 0.24/0.45 % (23151)------------------------------
% 0.24/0.45 % (23151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (23151)Termination reason: Unknown
% 0.24/0.45 % (23151)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (23151)Memory used [KB]: 1663
% 0.24/0.45 % (23151)Time elapsed: 0.003 s
% 0.24/0.45 % (23151)Instructions burned: 3 (million)
% 0.24/0.45 % (23151)------------------------------
% 0.24/0.45 % (23151)------------------------------
% 0.24/0.46 % (23150)Instruction limit reached!
% 0.24/0.46 % (23150)------------------------------
% 0.24/0.46 % (23150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (23150)Termination reason: Unknown
% 0.24/0.46 % (23150)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (23150)Memory used [KB]: 1918
% 0.24/0.46 % (23150)Time elapsed: 0.010 s
% 0.24/0.46 % (23150)Instructions burned: 15 (million)
% 0.24/0.46 % (23150)------------------------------
% 0.24/0.46 % (23150)------------------------------
% 0.24/0.46 % (23153)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.46 % (23154)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.46 % (23153)Instruction limit reached!
% 0.24/0.46 % (23153)------------------------------
% 0.24/0.46 % (23153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (23153)Termination reason: Unknown
% 0.24/0.46 % (23153)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (23153)Memory used [KB]: 1663
% 0.24/0.46 % (23153)Time elapsed: 0.006 s
% 0.24/0.46 % (23153)Instructions burned: 8 (million)
% 0.24/0.46 % (23153)------------------------------
% 0.24/0.46 % (23153)------------------------------
% 0.24/0.47 % (23156)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)
% 0.24/0.47 % (23149)Instruction limit reached!
% 0.24/0.47 % (23149)------------------------------
% 0.24/0.47 % (23149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (23156)Instruction limit reached!
% 0.24/0.47 % (23156)------------------------------
% 0.24/0.47 % (23156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (23156)Termination reason: Unknown
% 0.24/0.47 % (23156)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (23156)Memory used [KB]: 1663
% 0.24/0.47 % (23156)Time elapsed: 0.003 s
% 0.24/0.47 % (23156)Instructions burned: 3 (million)
% 0.24/0.47 % (23156)------------------------------
% 0.24/0.47 % (23156)------------------------------
% 0.24/0.47 % (23149)Termination reason: Unknown
% 0.24/0.47 % (23149)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (23149)Memory used [KB]: 2302
% 0.24/0.47 % (23149)Time elapsed: 0.020 s
% 0.24/0.47 % (23149)Instructions burned: 37 (million)
% 0.24/0.47 % (23149)------------------------------
% 0.24/0.47 % (23149)------------------------------
% 0.24/0.47 % (23154)Instruction limit reached!
% 0.24/0.47 % (23154)------------------------------
% 0.24/0.47 % (23154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (23154)Termination reason: Unknown
% 0.24/0.47 % (23154)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (23154)Memory used [KB]: 1918
% 0.24/0.47 % (23154)Time elapsed: 0.010 s
% 0.24/0.47 % (23154)Instructions burned: 17 (million)
% 0.24/0.47 % (23154)------------------------------
% 0.24/0.47 % (23154)------------------------------
% 0.24/0.48 % (23157)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)
% 0.24/0.48 % (23157)Instruction limit reached!
% 0.24/0.48 % (23157)------------------------------
% 0.24/0.48 % (23157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (23157)Termination reason: Unknown
% 0.24/0.48 % (23157)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (23157)Memory used [KB]: 1663
% 0.24/0.48 % (23157)Time elapsed: 0.003 s
% 0.24/0.48 % (23157)Instructions burned: 3 (million)
% 0.24/0.48 % (23157)------------------------------
% 0.24/0.48 % (23157)------------------------------
% 0.24/0.48 % (23158)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)
% 0.24/0.48 % (23158)Instruction limit reached!
% 0.24/0.48 % (23158)------------------------------
% 0.24/0.48 % (23158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (23158)Termination reason: Unknown
% 0.24/0.48 % (23158)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (23158)Memory used [KB]: 1663
% 0.24/0.48 % (23158)Time elapsed: 0.005 s
% 0.24/0.48 % (23158)Instructions burned: 7 (million)
% 0.24/0.48 % (23158)------------------------------
% 0.24/0.48 % (23158)------------------------------
% 0.24/0.48 % (23159)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)
% 0.24/0.48 % (23160)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.49 % (23159)Instruction limit reached!
% 0.24/0.49 % (23159)------------------------------
% 0.24/0.49 % (23159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (23159)Termination reason: Unknown
% 0.24/0.49 % (23159)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (23159)Memory used [KB]: 1663
% 0.24/0.49 % (23159)Time elapsed: 0.003 s
% 0.24/0.49 % (23159)Instructions burned: 3 (million)
% 0.24/0.49 % (23159)------------------------------
% 0.24/0.49 % (23159)------------------------------
% 0.24/0.49 % (23161)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)
% 0.24/0.49 % (23160)Instruction limit reached!
% 0.24/0.49 % (23160)------------------------------
% 0.24/0.49 % (23160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (23160)Termination reason: Unknown
% 0.24/0.49 % (23160)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (23160)Memory used [KB]: 1663
% 0.24/0.49 % (23160)Time elapsed: 0.004 s
% 0.24/0.49 % (23160)Instructions burned: 5 (million)
% 0.24/0.49 % (23160)------------------------------
% 0.24/0.49 % (23160)------------------------------
% 0.24/0.49 % (23162)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.50 % (23161)Instruction limit reached!
% 0.24/0.50 % (23161)------------------------------
% 0.24/0.50 % (23161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (23161)Termination reason: Unknown
% 0.24/0.50 % (23161)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (23161)Memory used [KB]: 2046
% 0.24/0.50 % (23161)Time elapsed: 0.011 s
% 0.24/0.50 % (23161)Instructions burned: 19 (million)
% 0.24/0.50 % (23161)------------------------------
% 0.24/0.50 % (23161)------------------------------
% 0.24/0.50 % (23163)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.50 % (23164)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.24/0.50 % (23163)Instruction limit reached!
% 0.24/0.50 % (23163)------------------------------
% 0.24/0.50 % (23163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (23163)Termination reason: Unknown
% 0.24/0.50 % (23163)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (23163)Memory used [KB]: 1791
% 0.24/0.50 % (23163)Time elapsed: 0.005 s
% 0.24/0.50 % (23163)Instructions burned: 6 (million)
% 0.24/0.50 % (23163)------------------------------
% 0.24/0.50 % (23163)------------------------------
% 0.24/0.50 % (23165)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.24/0.51 % (23166)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.51 % (23165)Instruction limit reached!
% 0.24/0.51 % (23165)------------------------------
% 0.24/0.51 % (23165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (23165)Termination reason: Unknown
% 0.24/0.51 % (23165)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (23165)Memory used [KB]: 2046
% 0.24/0.51 % (23165)Time elapsed: 0.013 s
% 0.24/0.51 % (23165)Instructions burned: 22 (million)
% 0.24/0.51 % (23165)------------------------------
% 0.24/0.51 % (23165)------------------------------
% 0.24/0.52 % (23166)Instruction limit reached!
% 0.24/0.52 % (23166)------------------------------
% 0.24/0.52 % (23166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (23166)Termination reason: Unknown
% 0.24/0.52 % (23166)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (23166)Memory used [KB]: 1663
% 0.24/0.52 % (23166)Time elapsed: 0.005 s
% 0.24/0.52 % (23166)Instructions burned: 6 (million)
% 0.24/0.52 % (23166)------------------------------
% 0.24/0.52 % (23166)------------------------------
% 0.24/0.52 % (23167)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.52 % (23141)Instruction limit reached!
% 0.24/0.52 % (23141)------------------------------
% 0.24/0.52 % (23141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (23141)Termination reason: Unknown
% 0.24/0.52 % (23141)Termination phase: Property scanning
% 0.24/0.52
% 0.24/0.52 % (23141)Memory used [KB]: 3070
% 0.24/0.52 % (23141)Time elapsed: 0.089 s
% 0.24/0.52 % (23141)Instructions burned: 183 (million)
% 0.24/0.52 % (23141)------------------------------
% 0.24/0.52 % (23141)------------------------------
% 0.24/0.52 % (23167)Instruction limit reached!
% 0.24/0.52 % (23167)------------------------------
% 0.24/0.52 % (23167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (23167)Termination reason: Unknown
% 0.24/0.52 % (23167)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (23167)Memory used [KB]: 1663
% 0.24/0.52 % (23167)Time elapsed: 0.005 s
% 0.24/0.52 % (23167)Instructions burned: 7 (million)
% 0.24/0.52 % (23167)------------------------------
% 0.24/0.52 % (23167)------------------------------
% 0.24/0.53 % (23168)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.24/0.53 % (23169)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)
% 0.24/0.54 % (23170)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)
% 0.24/0.54 % (23171)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.24/0.55 % (23170)Instruction limit reached!
% 0.24/0.55 % (23170)------------------------------
% 0.24/0.55 % (23170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.55 % (23170)Termination reason: Unknown
% 0.24/0.55 % (23170)Termination phase: shuffling
% 0.24/0.55
% 0.24/0.55 % (23170)Memory used [KB]: 1918
% 0.24/0.55 % (23170)Time elapsed: 0.011 s
% 0.24/0.55 % (23170)Instructions burned: 19 (million)
% 0.24/0.55 % (23170)------------------------------
% 0.24/0.55 % (23170)------------------------------
% 0.24/0.56 % (23172)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.24/0.57 % (23172)Instruction limit reached!
% 0.24/0.57 % (23172)------------------------------
% 0.24/0.57 % (23172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.57 % (23172)Termination reason: Unknown
% 0.24/0.57 % (23172)Termination phase: shuffling
% 0.24/0.57
% 0.24/0.57 % (23172)Memory used [KB]: 1918
% 0.24/0.57 % (23172)Time elapsed: 0.011 s
% 0.24/0.57 % (23172)Instructions burned: 17 (million)
% 0.24/0.57 % (23172)------------------------------
% 0.24/0.57 % (23172)------------------------------
% 0.24/0.58 % (23146)Instruction limit reached!
% 0.24/0.58 % (23146)------------------------------
% 0.24/0.58 % (23146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.58 % (23146)Termination reason: Unknown
% 0.24/0.58 % (23146)Termination phase: Saturation
% 0.24/0.58
% 0.24/0.58 % (23146)Memory used [KB]: 6140
% 0.24/0.58 % (23146)Time elapsed: 0.145 s
% 0.24/0.58 % (23146)Instructions burned: 276 (million)
% 0.24/0.58 % (23146)------------------------------
% 0.24/0.58 % (23146)------------------------------
% 0.24/0.59 % (23173)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.24/0.59 % (23173)Instruction limit reached!
% 0.24/0.59 % (23173)------------------------------
% 0.24/0.59 % (23173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.59 % (23173)Termination reason: Unknown
% 0.24/0.59 % (23173)Termination phase: shuffling
% 0.24/0.59
% 0.24/0.59 % (23173)Memory used [KB]: 1663
% 0.24/0.59 % (23173)Time elapsed: 0.004 s
% 0.24/0.59 % (23173)Instructions burned: 4 (million)
% 0.24/0.59 % (23173)------------------------------
% 0.24/0.59 % (23173)------------------------------
% 0.24/0.59 % (23174)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.54/0.60 % (23175)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)
% 1.54/0.61 % (23174)Instruction limit reached!
% 1.54/0.61 % (23174)------------------------------
% 1.54/0.61 % (23174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.61 % (23174)Termination reason: Unknown
% 1.54/0.61 % (23174)Termination phase: shuffling
% 1.54/0.61
% 1.54/0.61 % (23174)Memory used [KB]: 2302
% 1.54/0.61 % (23174)Time elapsed: 0.016 s
% 1.54/0.61 % (23174)Instructions burned: 30 (million)
% 1.54/0.61 % (23174)------------------------------
% 1.54/0.61 % (23174)------------------------------
% 1.72/0.62 % (23176)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.86/0.66 % (23175)Instruction limit reached!
% 1.86/0.66 % (23175)------------------------------
% 1.86/0.66 % (23175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.66 % (23175)Termination reason: Unknown
% 1.86/0.66 % (23175)Termination phase: Property scanning
% 1.86/0.66
% 1.86/0.66 % (23175)Memory used [KB]: 3070
% 1.86/0.66 % (23175)Time elapsed: 0.059 s
% 1.86/0.66 % (23175)Instructions burned: 128 (million)
% 1.86/0.66 % (23175)------------------------------
% 1.86/0.66 % (23175)------------------------------
% 1.86/0.67 % (23176)Instruction limit reached!
% 1.86/0.67 % (23176)------------------------------
% 1.86/0.67 % (23176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.67 % (23176)Termination reason: Unknown
% 1.86/0.67 % (23176)Termination phase: Preprocessing 3
% 1.86/0.67
% 1.86/0.67 % (23176)Memory used [KB]: 2942
% 1.86/0.67 % (23176)Time elapsed: 0.047 s
% 1.86/0.67 % (23176)Instructions burned: 100 (million)
% 1.86/0.67 % (23176)------------------------------
% 1.86/0.67 % (23176)------------------------------
% 1.86/0.67 % (23177)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)
% 1.86/0.68 % (23177)Instruction limit reached!
% 1.86/0.68 % (23177)------------------------------
% 1.86/0.68 % (23177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.68 % (23177)Termination reason: Unknown
% 1.86/0.68 % (23177)Termination phase: shuffling
% 1.86/0.68
% 1.86/0.68 % (23177)Memory used [KB]: 1663
% 1.86/0.68 % (23177)Time elapsed: 0.004 s
% 1.86/0.68 % (23177)Instructions burned: 4 (million)
% 1.86/0.68 % (23177)------------------------------
% 1.86/0.68 % (23177)------------------------------
% 1.86/0.68 % (23178)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)
% 1.86/0.69 % (23179)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)
% 1.86/0.69 % (23178)Instruction limit reached!
% 1.86/0.69 % (23178)------------------------------
% 1.86/0.69 % (23178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.69 % (23178)Termination reason: Unknown
% 1.86/0.69 % (23178)Termination phase: shuffling
% 1.86/0.69
% 1.86/0.69 % (23178)Memory used [KB]: 2046
% 1.86/0.69 % (23178)Time elapsed: 0.012 s
% 1.86/0.69 % (23178)Instructions burned: 20 (million)
% 1.86/0.69 % (23178)------------------------------
% 1.86/0.69 % (23178)------------------------------
% 1.86/0.71 % (23180)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 (2996ds/107Mi)
% 2.52/0.72 % (23168)Instruction limit reached!
% 2.52/0.72 % (23168)------------------------------
% 2.52/0.72 % (23168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.72 % (23168)Termination reason: Unknown
% 2.52/0.72 % (23168)Termination phase: Saturation
% 2.52/0.72
% 2.52/0.72 % (23168)Memory used [KB]: 9594
% 2.52/0.72 % (23168)Time elapsed: 0.178 s
% 2.52/0.72 % (23168)Instructions burned: 379 (million)
% 2.52/0.72 % (23168)------------------------------
% 2.52/0.72 % (23168)------------------------------
% 2.52/0.73 % (23179)Instruction limit reached!
% 2.52/0.73 % (23179)------------------------------
% 2.52/0.73 % (23179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.73 % (23179)Termination reason: Unknown
% 2.52/0.73 % (23179)Termination phase: Property scanning
% 2.52/0.73
% 2.52/0.73 % (23179)Memory used [KB]: 2814
% 2.52/0.73 % (23179)Time elapsed: 0.041 s
% 2.52/0.73 % (23179)Instructions burned: 88 (million)
% 2.52/0.73 % (23179)------------------------------
% 2.52/0.73 % (23179)------------------------------
% 2.52/0.74 % (23181)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 (2996ds/39Mi)
% 2.52/0.75 % (23182)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 2.52/0.76 % (23180)Instruction limit reached!
% 2.52/0.76 % (23180)------------------------------
% 2.52/0.76 % (23180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.76 % (23180)Termination reason: Unknown
% 2.52/0.76 % (23180)Termination phase: SInE selection
% 2.52/0.76
% 2.52/0.76 % (23180)Memory used [KB]: 2814
% 2.52/0.76 % (23180)Time elapsed: 0.050 s
% 2.52/0.76 % (23180)Instructions burned: 108 (million)
% 2.52/0.76 % (23180)------------------------------
% 2.52/0.76 % (23180)------------------------------
% 2.52/0.76 % (23181)Instruction limit reached!
% 2.52/0.76 % (23181)------------------------------
% 2.52/0.76 % (23181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.76 % (23181)Termination reason: Unknown
% 2.52/0.76 % (23181)Termination phase: shuffling
% 2.52/0.76
% 2.52/0.76 % (23181)Memory used [KB]: 2430
% 2.52/0.76 % (23181)Time elapsed: 0.020 s
% 2.52/0.76 % (23181)Instructions burned: 39 (million)
% 2.52/0.76 % (23181)------------------------------
% 2.52/0.76 % (23181)------------------------------
% 2.52/0.77 % (23183)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.52/0.77 % (23184)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.97/0.79 % (23183)Instruction limit reached!
% 2.97/0.79 % (23183)------------------------------
% 2.97/0.79 % (23183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.79 % (23183)Termination reason: Unknown
% 2.97/0.79 % (23183)Termination phase: shuffling
% 2.97/0.79
% 2.97/0.79 % (23183)Memory used [KB]: 2558
% 2.97/0.79 % (23183)Time elapsed: 0.023 s
% 2.97/0.79 % (23183)Instructions burned: 46 (million)
% 2.97/0.79 % (23183)------------------------------
% 2.97/0.79 % (23183)------------------------------
% 2.97/0.81 % (23185)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.97/0.82 % (23184)Instruction limit reached!
% 2.97/0.82 % (23184)------------------------------
% 2.97/0.82 % (23184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.82 % (23184)Termination reason: Unknown
% 2.97/0.82 % (23184)Termination phase: Property scanning
% 2.97/0.82
% 2.97/0.82 % (23184)Memory used [KB]: 2814
% 2.97/0.82 % (23184)Time elapsed: 0.046 s
% 2.97/0.82 % (23184)Instructions burned: 98 (million)
% 2.97/0.82 % (23184)------------------------------
% 2.97/0.82 % (23184)------------------------------
% 2.97/0.83 % (23186)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 2.97/0.84 % (23169)Instruction limit reached!
% 2.97/0.84 % (23169)------------------------------
% 2.97/0.84 % (23169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.84 % (23169)Termination reason: Unknown
% 2.97/0.84 % (23169)Termination phase: Saturation
% 2.97/0.84
% 2.97/0.84 % (23169)Memory used [KB]: 7931
% 2.97/0.84 % (23169)Time elapsed: 0.307 s
% 2.97/0.84 % (23169)Instructions burned: 779 (million)
% 2.97/0.84 % (23169)------------------------------
% 2.97/0.84 % (23169)------------------------------
% 2.97/0.85 % (23187)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 3.42/0.86 % (23162)Instruction limit reached!
% 3.42/0.86 % (23162)------------------------------
% 3.42/0.86 % (23162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.42/0.86 % (23162)Termination reason: Unknown
% 3.42/0.86 % (23162)Termination phase: Saturation
% 3.42/0.86
% 3.42/0.86 % (23162)Memory used [KB]: 12537
% 3.42/0.86 % (23162)Time elapsed: 0.370 s
% 3.42/0.86 % (23162)Instructions burned: 710 (million)
% 3.42/0.86 % (23162)------------------------------
% 3.42/0.86 % (23162)------------------------------
% 3.42/0.86 % (23152)Instruction limit reached!
% 3.42/0.86 % (23152)------------------------------
% 3.42/0.86 % (23152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.42/0.86 % (23152)Termination reason: Unknown
% 3.42/0.86 % (23152)Termination phase: Saturation
% 3.42/0.86
% 3.42/0.86 % (23152)Memory used [KB]: 18933
% 3.42/0.86 % (23152)Time elapsed: 0.412 s
% 3.42/0.86 % (23152)Instructions burned: 1041 (million)
% 3.42/0.86 % (23152)------------------------------
% 3.42/0.86 % (23152)------------------------------
% 3.42/0.87 % (23187)Instruction limit reached!
% 3.42/0.87 % (23187)------------------------------
% 3.42/0.87 % (23187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.42/0.87 % (23187)Termination reason: Unknown
% 3.42/0.87 % (23187)Termination phase: shuffling
% 3.42/0.87
% 3.42/0.87 % (23187)Memory used [KB]: 2302
% 3.42/0.87 % (23187)Time elapsed: 0.020 s
% 3.42/0.87 % (23187)Instructions burned: 39 (million)
% 3.42/0.87 % (23187)------------------------------
% 3.42/0.87 % (23187)------------------------------
% 3.55/0.88 % (23188)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.55/0.88 % (23189)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 3.55/0.88 % (23188)Instruction limit reached!
% 3.55/0.88 % (23188)------------------------------
% 3.55/0.88 % (23188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.88 % (23188)Termination reason: Unknown
% 3.55/0.88 % (23188)Termination phase: shuffling
% 3.55/0.88
% 3.55/0.88 % (23188)Memory used [KB]: 1663
% 3.55/0.88 % (23188)Time elapsed: 0.005 s
% 3.55/0.88 % (23188)Instructions burned: 7 (million)
% 3.55/0.88 % (23188)------------------------------
% 3.55/0.88 % (23188)------------------------------
% 3.55/0.88 % (23190)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 3.55/0.89 % (23191)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 3.55/0.90 % (23186)Instruction limit reached!
% 3.55/0.90 % (23186)------------------------------
% 3.55/0.90 % (23186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.90 % (23186)Termination reason: Unknown
% 3.55/0.90 % (23186)Termination phase: Function definition elimination
% 3.55/0.90
% 3.55/0.90 % (23186)Memory used [KB]: 3070
% 3.55/0.90 % (23186)Time elapsed: 0.069 s
% 3.55/0.90 % (23186)Instructions burned: 150 (million)
% 3.55/0.90 % (23186)------------------------------
% 3.55/0.90 % (23186)------------------------------
% 3.55/0.90 % (23190)Instruction limit reached!
% 3.55/0.90 % (23190)------------------------------
% 3.55/0.90 % (23190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.91 % (23190)Termination reason: Unknown
% 3.55/0.91 % (23190)Termination phase: shuffling
% 3.55/0.91
% 3.55/0.91 % (23190)Memory used [KB]: 2430
% 3.55/0.91 % (23190)Time elapsed: 0.023 s
% 3.55/0.91 % (23190)Instructions burned: 47 (million)
% 3.55/0.91 % (23190)------------------------------
% 3.55/0.91 % (23190)------------------------------
% 3.55/0.91 % (23192)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 3.55/0.91 % (23191)Instruction limit reached!
% 3.55/0.91 % (23191)------------------------------
% 3.55/0.91 % (23191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.91 % (23191)Termination reason: Unknown
% 3.55/0.91 % (23191)Termination phase: shuffling
% 3.55/0.91
% 3.55/0.91 % (23191)Memory used [KB]: 2430
% 3.55/0.91 % (23191)Time elapsed: 0.022 s
% 3.55/0.91 % (23191)Instructions burned: 45 (million)
% 3.55/0.91 % (23191)------------------------------
% 3.55/0.91 % (23191)------------------------------
% 3.76/0.92 % (23193)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2994ds/62Mi)
% 3.76/0.93 % (23182)Instruction limit reached!
% 3.76/0.93 % (23182)------------------------------
% 3.76/0.93 % (23182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.76/0.93 % (23182)Termination reason: Unknown
% 3.76/0.93 % (23182)Termination phase: Saturation
% 3.76/0.93
% 3.76/0.93 % (23182)Memory used [KB]: 7803
% 3.76/0.93 % (23182)Time elapsed: 0.183 s
% 3.76/0.93 % (23182)Instructions burned: 449 (million)
% 3.76/0.93 % (23182)------------------------------
% 3.76/0.93 % (23182)------------------------------
% 3.76/0.93 % (23194)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 4.05/0.94 % (23195)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi)
% 4.05/0.94 % (23194)Instruction limit reached!
% 4.05/0.94 % (23194)------------------------------
% 4.05/0.94 % (23194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.94 % (23194)Termination reason: Unknown
% 4.05/0.94 % (23194)Termination phase: shuffling
% 4.05/0.94
% 4.05/0.94 % (23194)Memory used [KB]: 2302
% 4.05/0.94 % (23194)Time elapsed: 0.016 s
% 4.05/0.94 % (23194)Instructions burned: 31 (million)
% 4.05/0.94 % (23194)------------------------------
% 4.05/0.94 % (23194)------------------------------
% 4.05/0.95 % (23193)Instruction limit reached!
% 4.05/0.95 % (23193)------------------------------
% 4.05/0.95 % (23193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.95 % (23193)Termination reason: Unknown
% 4.05/0.95 % (23193)Termination phase: shuffling
% 4.05/0.95
% 4.05/0.95 % (23193)Memory used [KB]: 2686
% 4.05/0.95 % (23193)Time elapsed: 0.030 s
% 4.05/0.95 % (23193)Instructions burned: 63 (million)
% 4.05/0.95 % (23193)------------------------------
% 4.05/0.95 % (23193)------------------------------
% 4.05/0.96 % (23196)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2994ds/453Mi)
% 4.05/0.96 % (23164)Instruction limit reached!
% 4.05/0.96 % (23164)------------------------------
% 4.05/0.96 % (23164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.96 % (23164)Termination reason: Unknown
% 4.05/0.96 % (23164)Termination phase: Saturation
% 4.05/0.96
% 4.05/0.96 % (23164)Memory used [KB]: 13560
% 4.05/0.96 % (23164)Time elapsed: 0.463 s
% 4.05/0.96 % (23164)Instructions burned: 903 (million)
% 4.05/0.96 % (23164)------------------------------
% 4.05/0.96 % (23164)------------------------------
% 4.05/0.96 % (23197)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2994ds/71Mi)
% 4.05/0.96 % (23171)Instruction limit reached!
% 4.05/0.96 % (23171)------------------------------
% 4.05/0.96 % (23171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.96 % (23171)Termination reason: Unknown
% 4.05/0.96 % (23171)Termination phase: Saturation
% 4.05/0.96
% 4.05/0.96 % (23171)Memory used [KB]: 10874
% 4.05/0.96 % (23171)Time elapsed: 0.429 s
% 4.05/0.96 % (23171)Instructions burned: 880 (million)
% 4.05/0.96 % (23171)------------------------------
% 4.05/0.96 % (23171)------------------------------
% 4.05/0.98 % (23198)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 4.05/0.98 % (23199)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 4.05/0.98 % (23195)Instruction limit reached!
% 4.05/0.98 % (23195)------------------------------
% 4.05/0.98 % (23195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.98 % (23195)Termination reason: Unknown
% 4.05/0.98 % (23195)Termination phase: Property scanning
% 4.05/0.98
% 4.05/0.98 % (23195)Memory used [KB]: 2814
% 4.05/0.98 % (23195)Time elapsed: 0.045 s
% 4.05/0.98 % (23195)Instructions burned: 97 (million)
% 4.05/0.98 % (23195)------------------------------
% 4.05/0.98 % (23195)------------------------------
% 4.05/0.98 % (23199)Instruction limit reached!
% 4.05/0.98 % (23199)------------------------------
% 4.05/0.98 % (23199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/0.98 % (23199)Termination reason: Unknown
% 4.05/0.98 % (23199)Termination phase: shuffling
% 4.05/0.98
% 4.05/0.98 % (23199)Memory used [KB]: 1791
% 4.05/0.98 % (23199)Time elapsed: 0.007 s
% 4.05/0.98 % (23199)Instructions burned: 12 (million)
% 4.05/0.98 % (23199)------------------------------
% 4.05/0.98 % (23199)------------------------------
% 4.05/0.99 % (23197)Instruction limit reached!
% 4.05/0.99 % (23197)------------------------------
% 4.05/0.99 % (23197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.00 % (23197)Termination reason: Unknown
% 4.05/1.00 % (23197)Termination phase: Property scanning
% 4.05/1.00
% 4.05/1.00 % (23197)Memory used [KB]: 2814
% 4.05/1.00 % (23197)Time elapsed: 0.034 s
% 4.05/1.00 % (23197)Instructions burned: 72 (million)
% 4.05/1.00 % (23197)------------------------------
% 4.05/1.00 % (23197)------------------------------
% 4.05/1.00 % (23200)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 4.05/1.00 % (23201)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 4.05/1.00 % (23201)Instruction limit reached!
% 4.05/1.00 % (23201)------------------------------
% 4.05/1.00 % (23201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.00 % (23201)Termination reason: Unknown
% 4.05/1.00 % (23201)Termination phase: shuffling
% 4.05/1.00
% 4.05/1.00 % (23201)Memory used [KB]: 1663
% 4.05/1.00 % (23201)Time elapsed: 0.005 s
% 4.05/1.00 % (23201)Instructions burned: 8 (million)
% 4.05/1.00 % (23201)------------------------------
% 4.05/1.00 % (23201)------------------------------
% 4.05/1.01 % (23202)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 4.05/1.02 % (23198)Instruction limit reached!
% 4.05/1.02 % (23198)------------------------------
% 4.05/1.02 % (23198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.02 % (23198)Termination reason: Unknown
% 4.05/1.02 % (23198)Termination phase: Property scanning
% 4.05/1.02
% 4.05/1.02 % (23198)Memory used [KB]: 2814
% 4.05/1.02 % (23198)Time elapsed: 0.039 s
% 4.05/1.02 % (23198)Instructions burned: 83 (million)
% 4.05/1.02 % (23198)------------------------------
% 4.05/1.02 % (23198)------------------------------
% 4.05/1.02 % (23203)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2994ds/343Mi)
% 4.05/1.02 % (23200)Instruction limit reached!
% 4.05/1.02 % (23200)------------------------------
% 4.05/1.02 % (23200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.05/1.02 % (23200)Termination reason: Unknown
% 4.05/1.02 % (23200)Termination phase: shuffling
% 4.05/1.02
% 4.05/1.02 % (23200)Memory used [KB]: 2430
% 4.05/1.02 % (23200)Time elapsed: 0.020 s
% 4.05/1.02 % (23200)Instructions burned: 41 (million)
% 4.05/1.02 % (23200)------------------------------
% 4.05/1.02 % (23200)------------------------------
% 4.41/1.03 % (23204)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2993ds/109Mi)
% 4.41/1.03 % (23205)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2993ds/253Mi)
% 4.41/1.05 % (23185)Instruction limit reached!
% 4.41/1.05 % (23185)------------------------------
% 4.41/1.05 % (23185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.05 % (23185)Termination reason: Unknown
% 4.41/1.05 % (23185)Termination phase: Saturation
% 4.41/1.05
% 4.41/1.05 % (23185)Memory used [KB]: 8443
% 4.41/1.05 % (23185)Time elapsed: 0.243 s
% 4.41/1.05 % (23185)Instructions burned: 508 (million)
% 4.41/1.05 % (23185)------------------------------
% 4.41/1.05 % (23185)------------------------------
% 4.41/1.06 % (23206)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2993ds/140Mi)
% 4.66/1.08 % (23204)Instruction limit reached!
% 4.66/1.08 % (23204)------------------------------
% 4.66/1.08 % (23204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.08 % (23204)Termination reason: Unknown
% 4.66/1.08 % (23204)Termination phase: SInE selection
% 4.66/1.08
% 4.66/1.08 % (23204)Memory used [KB]: 2814
% 4.66/1.08 % (23204)Time elapsed: 0.050 s
% 4.66/1.08 % (23204)Instructions burned: 110 (million)
% 4.66/1.08 % (23204)------------------------------
% 4.66/1.08 % (23204)------------------------------
% 4.66/1.09 % (23202)Instruction limit reached!
% 4.66/1.09 % (23202)------------------------------
% 4.66/1.09 % (23202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.09 % (23202)Termination reason: Unknown
% 4.66/1.09 % (23202)Termination phase: Property scanning
% 4.66/1.09
% 4.66/1.09 % (23202)Memory used [KB]: 5628
% 4.66/1.09 % (23202)Time elapsed: 0.077 s
% 4.66/1.09 % (23202)Instructions burned: 151 (million)
% 4.66/1.09 % (23202)------------------------------
% 4.66/1.09 % (23202)------------------------------
% 4.66/1.09 % (23192)Instruction limit reached!
% 4.66/1.09 % (23192)------------------------------
% 4.66/1.09 % (23192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.09 % (23192)Termination reason: Unknown
% 4.66/1.09 % (23192)Termination phase: Saturation
% 4.66/1.09
% 4.66/1.09 % (23192)Memory used [KB]: 3326
% 4.66/1.09 % (23192)Time elapsed: 0.178 s
% 4.66/1.09 % (23192)Instructions burned: 432 (million)
% 4.66/1.09 % (23192)------------------------------
% 4.66/1.09 % (23192)------------------------------
% 4.66/1.09 % (23207)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2993ds/614Mi)
% 4.66/1.10 % (23208)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2993ds/202Mi)
% 4.66/1.10 % (23209)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2992ds/339Mi)
% 4.66/1.13 % (23206)Instruction limit reached!
% 4.66/1.13 % (23206)------------------------------
% 4.66/1.13 % (23206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.13 % (23206)Termination reason: Unknown
% 4.66/1.13 % (23206)Termination phase: Property scanning
% 4.66/1.13
% 4.66/1.13 % (23206)Memory used [KB]: 3070
% 4.66/1.13 % (23206)Time elapsed: 0.064 s
% 4.66/1.13 % (23206)Instructions burned: 140 (million)
% 4.66/1.13 % (23206)------------------------------
% 4.66/1.13 % (23206)------------------------------
% 4.66/1.14 % (23210)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=283:si=on:rtra=on_0 on theBenchmark for (2992ds/283Mi)
% 4.66/1.14 % (23196)Instruction limit reached!
% 4.66/1.14 % (23196)------------------------------
% 4.66/1.14 % (23196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.14 % (23196)Termination reason: Unknown
% 4.66/1.14 % (23196)Termination phase: Saturation
% 4.66/1.14
% 4.66/1.14 % (23196)Memory used [KB]: 7803
% 4.66/1.14 % (23196)Time elapsed: 0.185 s
% 4.66/1.14 % (23196)Instructions burned: 453 (million)
% 4.66/1.14 % (23196)------------------------------
% 4.66/1.14 % (23196)------------------------------
% 4.66/1.15 % (23205)Instruction limit reached!
% 4.66/1.15 % (23205)------------------------------
% 4.66/1.15 % (23205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.15 % (23205)Termination reason: Unknown
% 4.66/1.15 % (23205)Termination phase: Property scanning
% 4.66/1.15
% 4.66/1.15 % (23205)Memory used [KB]: 6012
% 4.66/1.15 % (23205)Time elapsed: 0.121 s
% 4.66/1.15 % (23205)Instructions burned: 253 (million)
% 4.66/1.15 % (23205)------------------------------
% 4.66/1.15 % (23205)------------------------------
% 4.66/1.16 % (23211)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2992ds/134Mi)
% 4.66/1.17 % (23203)Instruction limit reached!
% 4.66/1.17 % (23203)------------------------------
% 4.66/1.17 % (23203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.17 % (23203)Termination reason: Unknown
% 4.66/1.17 % (23203)Termination phase: Saturation
% 4.66/1.17
% 4.66/1.17 % (23203)Memory used [KB]: 8571
% 4.66/1.17 % (23203)Time elapsed: 0.151 s
% 4.66/1.17 % (23203)Instructions burned: 343 (million)
% 4.66/1.17 % (23203)------------------------------
% 4.66/1.17 % (23203)------------------------------
% 6.14/1.17 % (23212)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2992ds/298Mi)
% 6.14/1.18 % (23213)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2992ds/192Mi)
% 6.28/1.20 % (23208)Instruction limit reached!
% 6.28/1.20 % (23208)------------------------------
% 6.28/1.20 % (23208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.20 % (23208)Termination reason: Unknown
% 6.28/1.20 % (23208)Termination phase: Property scanning
% 6.28/1.20
% 6.28/1.20 % (23208)Memory used [KB]: 5628
% 6.28/1.20 % (23208)Time elapsed: 0.097 s
% 6.28/1.20 % (23208)Instructions burned: 202 (million)
% 6.28/1.20 % (23208)------------------------------
% 6.28/1.20 % (23208)------------------------------
% 6.28/1.21 % (23214)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2991ds/258Mi)
% 6.28/1.22 % (23211)Instruction limit reached!
% 6.28/1.22 % (23211)------------------------------
% 6.28/1.22 % (23211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.22 % (23211)Termination reason: Unknown
% 6.28/1.22 % (23211)Termination phase: Property scanning
% 6.28/1.22
% 6.28/1.22 % (23211)Memory used [KB]: 3070
% 6.28/1.22 % (23211)Time elapsed: 0.061 s
% 6.28/1.22 % (23211)Instructions burned: 134 (million)
% 6.28/1.22 % (23211)------------------------------
% 6.28/1.22 % (23211)------------------------------
% 6.28/1.23 % (23215)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 6.59/1.26 % (23210)Instruction limit reached!
% 6.59/1.26 % (23210)------------------------------
% 6.59/1.26 % (23210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.26 % (23210)Termination reason: Unknown
% 6.59/1.26 % (23210)Termination phase: Saturation
% 6.59/1.26
% 6.59/1.26 % (23210)Memory used [KB]: 7803
% 6.59/1.26 % (23210)Time elapsed: 0.120 s
% 6.59/1.26 % (23210)Instructions burned: 284 (million)
% 6.59/1.26 % (23210)------------------------------
% 6.59/1.26 % (23210)------------------------------
% 6.59/1.27 % (23213)Instruction limit reached!
% 6.59/1.27 % (23213)------------------------------
% 6.59/1.27 % (23213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.27 % (23213)Termination reason: Unknown
% 6.59/1.27 % (23213)Termination phase: Saturation
% 6.59/1.27
% 6.59/1.27 % (23213)Memory used [KB]: 7675
% 6.59/1.27 % (23213)Time elapsed: 0.086 s
% 6.59/1.27 % (23213)Instructions burned: 193 (million)
% 6.59/1.27 % (23213)------------------------------
% 6.59/1.27 % (23213)------------------------------
% 6.59/1.27 % (23209)Instruction limit reached!
% 6.59/1.27 % (23209)------------------------------
% 6.59/1.27 % (23209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.27 % (23209)Termination reason: Unknown
% 6.59/1.27 % (23209)Termination phase: Saturation
% 6.59/1.27
% 6.59/1.27 % (23209)Memory used [KB]: 8443
% 6.59/1.27 % (23209)Time elapsed: 0.159 s
% 6.59/1.27 % (23209)Instructions burned: 339 (million)
% 6.59/1.27 % (23209)------------------------------
% 6.59/1.27 % (23209)------------------------------
% 6.59/1.27 % (23215)Instruction limit reached!
% 6.59/1.27 % (23215)------------------------------
% 6.59/1.27 % (23215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.27 % (23215)Termination reason: Unknown
% 6.59/1.27 % (23215)Termination phase: Property scanning
% 6.59/1.27
% 6.59/1.27 % (23215)Memory used [KB]: 2814
% 6.59/1.27 % (23215)Time elapsed: 0.042 s
% 6.59/1.27 % (23215)Instructions burned: 90 (million)
% 6.59/1.27 % (23215)------------------------------
% 6.59/1.27 % (23215)------------------------------
% 6.59/1.27 % (23216)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2991ds/231Mi)
% 6.59/1.28 % (23217)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2991ds/458Mi)
% 6.59/1.29 % (23219)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2991ds/297Mi)
% 6.59/1.29 % (23218)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2991ds/31Mi)
% 6.59/1.30 % (23212)Instruction limit reached!
% 6.59/1.30 % (23212)------------------------------
% 6.59/1.30 % (23212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.30 % (23212)Termination reason: Unknown
% 6.59/1.30 % (23212)Termination phase: Saturation
% 6.59/1.30
% 6.59/1.30 % (23212)Memory used [KB]: 7803
% 6.59/1.30 % (23212)Time elapsed: 0.126 s
% 6.59/1.30 % (23212)Instructions burned: 299 (million)
% 6.59/1.30 % (23212)------------------------------
% 6.59/1.30 % (23212)------------------------------
% 6.59/1.30 % (23218)Instruction limit reached!
% 6.59/1.30 % (23218)------------------------------
% 6.59/1.30 % (23218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.59/1.30 % (23218)Termination reason: Unknown
% 6.59/1.30 % (23218)Termination phase: shuffling
% 6.59/1.30
% 6.59/1.30 % (23218)Memory used [KB]: 2302
% 6.59/1.30 % (23218)Time elapsed: 0.016 s
% 6.59/1.30 % (23218)Instructions burned: 31 (million)
% 6.59/1.30 % (23218)------------------------------
% 6.59/1.30 % (23218)------------------------------
% 7.02/1.31 % (23221)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2990ds/182Mi)
% 7.02/1.31 % (23220)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2990ds/987Mi)
% 7.02/1.32 % (23189)First to succeed.
% 7.02/1.33 % (23214)Instruction limit reached!
% 7.02/1.33 % (23214)------------------------------
% 7.02/1.33 % (23214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.02/1.33 % (23214)Termination reason: Unknown
% 7.02/1.33 % (23214)Termination phase: Saturation
% 7.02/1.33
% 7.02/1.33 % (23214)Memory used [KB]: 8059
% 7.02/1.33 % (23214)Time elapsed: 0.116 s
% 7.02/1.33 % (23214)Instructions burned: 258 (million)
% 7.02/1.33 % (23214)------------------------------
% 7.02/1.33 % (23214)------------------------------
% 7.02/1.33 % (23189)Refutation found. Thanks to Tanya!
% 7.02/1.33 % SZS status Theorem for theBenchmark
% 7.02/1.33 % SZS output start Proof for theBenchmark
% 7.02/1.33 thf(func_def_0, type, in: $i > $i > $o).
% 7.02/1.33 thf(func_def_1, type, exu: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 7.02/1.33 thf(func_def_8, type, powerset: $i > $i).
% 7.02/1.33 thf(func_def_10, type, setunion: $i > $i).
% 7.02/1.33 thf(func_def_19, type, descr: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_26, type, prop2set: $o > $i).
% 7.02/1.33 thf(func_def_36, type, nonempty: $i > $o).
% 7.02/1.33 thf(func_def_69, type, set2prop: $i > $o).
% 7.02/1.33 thf(func_def_88, type, subset: $i > $i > $o).
% 7.02/1.33 thf(func_def_89, type, disjoint: $i > $i > $o).
% 7.02/1.33 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 7.02/1.33 thf(func_def_114, type, binunion: $i > $i > $i).
% 7.02/1.33 thf(func_def_122, type, binintersect: $i > $i > $i).
% 7.02/1.33 thf(func_def_135, type, regular: $i > $o).
% 7.02/1.33 thf(func_def_136, type, setminus: $i > $i > $i).
% 7.02/1.33 thf(func_def_147, type, symdiff: $i > $i > $i).
% 7.02/1.33 thf(func_def_153, type, iskpair: $i > $o).
% 7.02/1.33 thf(func_def_158, type, kpair: $i > $i > $i).
% 7.02/1.33 thf(func_def_160, type, cartprod: $i > $i > $i).
% 7.02/1.33 thf(func_def_177, type, singleton: $i > $o).
% 7.02/1.33 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_184, type, atmost1p: $i > $o).
% 7.02/1.33 thf(func_def_185, type, atleast2p: $i > $o).
% 7.02/1.33 thf(func_def_186, type, atmost2p: $i > $o).
% 7.02/1.33 thf(func_def_187, type, upairsetp: $i > $o).
% 7.02/1.33 thf(func_def_191, type, kfst: $i > $i).
% 7.02/1.33 thf(func_def_203, type, ksnd: $i > $i).
% 7.02/1.33 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 7.02/1.33 thf(func_def_222, type, func: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_223, type, funcSet: $i > $i > $i).
% 7.02/1.33 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 7.02/1.33 thf(func_def_323, type, breln1: $i > $i > $o).
% 7.02/1.33 thf(func_def_325, type, breln1Set: $i > $i).
% 7.02/1.33 thf(func_def_327, type, transitive: $i > $i > $o).
% 7.02/1.33 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 7.02/1.33 thf(func_def_329, type, reflexive: $i > $i > $o).
% 7.02/1.33 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 7.02/1.33 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 7.02/1.33 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 7.02/1.33 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 7.02/1.33 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 7.02/1.33 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 7.02/1.33 thf(func_def_378, type, omegaS: $i > $i).
% 7.02/1.33 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_386, type, peano: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_387, type, transitiveset: $i > $o).
% 7.02/1.33 thf(func_def_403, type, sP0: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_404, type, sP1: $i > $o).
% 7.02/1.33 thf(func_def_405, type, sP2: $i > $o).
% 7.02/1.33 thf(func_def_406, type, sP3: $i > $o).
% 7.02/1.33 thf(func_def_407, type, sP4: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_408, type, sP5: $i > $i > $o).
% 7.02/1.33 thf(func_def_409, type, sP6: $i > $i > $o).
% 7.02/1.33 thf(func_def_410, type, sP7: $i > $i > $o).
% 7.02/1.33 thf(func_def_411, type, sP8: $i > $o).
% 7.02/1.33 thf(func_def_412, type, sP9: $i > $i > $o).
% 7.02/1.33 thf(func_def_414, type, sP11: $i > ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_415, type, sP12: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_416, type, sP13: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_417, type, sP14: $o > $i > $i > $o).
% 7.02/1.33 thf(func_def_419, type, sP16: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_420, type, sP17: $i > $i > ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_421, type, sP18: $i > $i > ($i > $o) > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_422, type, sP19: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_423, type, sP20: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_425, type, sP22: ($i > $i) > $i > $i > $o).
% 7.02/1.33 thf(func_def_427, type, sP24: $i > $i > $i > $o > $i > $i > $o).
% 7.02/1.33 thf(func_def_428, type, sP25: ($i > $i) > $i > $i > $o).
% 7.02/1.33 thf(func_def_431, type, sP28: $i > $i > $o > $o).
% 7.02/1.33 thf(func_def_432, type, sP29: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_433, type, sP30: $i > $i > $o > $o).
% 7.02/1.33 thf(func_def_434, type, sP31: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_435, type, sP32: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_436, type, sP33: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_439, type, sP36: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_440, type, sP37: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_442, type, sP39: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_444, type, sP41: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_445, type, sP42: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_447, type, sP44: $i > $i > $o).
% 7.02/1.33 thf(func_def_449, type, sP46: ($i > $i > $o) > $i > $i > $o).
% 7.02/1.33 thf(func_def_450, type, sP47: ($i > $i > $o) > $i > $i > $o).
% 7.02/1.33 thf(func_def_451, type, sP48: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_452, type, sP49: ($i > $o) > $i > $i > $o).
% 7.02/1.33 thf(func_def_453, type, sP50: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_454, type, sP51: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_455, type, sP52: $i > $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_456, type, sP53: $o > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_457, type, sP54: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_458, type, sP55: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_459, type, sP56: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_460, type, sP57: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_461, type, sP58: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_463, type, sP60: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_464, type, sP61: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_466, type, sP63: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_468, type, sP65: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_469, type, sP66: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_473, type, sP70: $i > $i > $o).
% 7.02/1.33 thf(func_def_476, type, sP73: ($i > $i > $o) > $i > $i > $o).
% 7.02/1.33 thf(func_def_477, type, sP74: ($i > $i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_479, type, sP76: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_480, type, sP77: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_481, type, sP78: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_483, type, sP80: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_485, type, sP82: $i > $o > $i > $o).
% 7.02/1.33 thf(func_def_488, type, sP85: $i > ($i > $i) > $i > $o).
% 7.02/1.33 thf(func_def_490, type, sP87: $i > $i > $o).
% 7.02/1.33 thf(func_def_492, type, sP89: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_494, type, sP91: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_495, type, sP92: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_496, type, sP93: $i > ($i > $i) > $i > $o).
% 7.02/1.33 thf(func_def_498, type, sP95: ($i > $o) > $i > $o).
% 7.02/1.33 thf(func_def_499, type, sP96: $i > $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_500, type, sP97: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_502, type, sP99: ($i > $o) > $o).
% 7.02/1.33 thf(func_def_503, type, sP100: ($i > $i) > $i > $i > $o).
% 7.02/1.33 thf(func_def_505, type, sP102: $i > $i > $i > $o > $o).
% 7.02/1.33 thf(func_def_506, type, sP103: $i > $i > $i > $o > $o).
% 7.02/1.33 thf(func_def_507, type, sP104: $i > ($i > $o) > $o).
% 7.02/1.33 thf(func_def_508, type, sP105: $i > ($i > $o) > $i > $i > $o).
% 7.02/1.33 thf(func_def_511, type, sK108: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_512, type, sK109: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_524, type, sK121: $i > $i).
% 7.02/1.33 thf(func_def_525, type, sK122: $i > $i).
% 7.02/1.33 thf(func_def_540, type, sK137: $i > $i > $i).
% 7.02/1.33 thf(func_def_541, type, sK138: $i > $i).
% 7.02/1.33 thf(func_def_544, type, sK141: $i > $o).
% 7.02/1.33 thf(func_def_546, type, sK143: $i > $i > $i).
% 7.02/1.33 thf(func_def_547, type, sK144: $i > $i > $i).
% 7.02/1.33 thf(func_def_548, type, sK145: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_549, type, sK146: $i > $i).
% 7.02/1.33 thf(func_def_550, type, sK147: $i > $i).
% 7.02/1.33 thf(func_def_551, type, sK148: $i > $i).
% 7.02/1.33 thf(func_def_552, type, sK149: $i > $i).
% 7.02/1.33 thf(func_def_553, type, sK150: $i > $i > $i).
% 7.02/1.33 thf(func_def_554, type, sK151: $i > $i > $i).
% 7.02/1.33 thf(func_def_555, type, sK152: $i > $i > $i).
% 7.02/1.33 thf(func_def_556, type, sK153: $i > $i > $i).
% 7.02/1.33 thf(func_def_557, type, sK154: $i > $i > $i).
% 7.02/1.33 thf(func_def_558, type, sK155: $i > $i > $i).
% 7.02/1.33 thf(func_def_559, type, sK156: $i > $i > $i).
% 7.02/1.33 thf(func_def_560, type, sK157: $i > $i > $i).
% 7.02/1.33 thf(func_def_561, type, sK158: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_562, type, sK159: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_563, type, sK160: $i > $i).
% 7.02/1.33 thf(func_def_570, type, sK167: $i > $o).
% 7.02/1.33 thf(func_def_592, type, sK189: $i > $i).
% 7.02/1.33 thf(func_def_594, type, sK191: $i > ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_609, type, sK206: $i > ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_611, type, sK208: $i > $o).
% 7.02/1.33 thf(func_def_625, type, sK222: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_626, type, sK223: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_627, type, sK224: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_628, type, sK225: $i > $o).
% 7.02/1.33 thf(func_def_638, type, sK235: $i > $i > $o).
% 7.02/1.33 thf(func_def_659, type, sK256: $i > $i > ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_660, type, sK257: $i > $i > ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_661, type, sK258: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_665, type, sK262: $i > $o).
% 7.02/1.33 thf(func_def_676, type, sK273: $i > $o).
% 7.02/1.33 thf(func_def_698, type, sK295: $i > $i > ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_699, type, sK296: $i > $i > ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_702, type, sK299: $i > $o).
% 7.02/1.33 thf(func_def_703, type, sK300: $i > $o).
% 7.02/1.33 thf(func_def_708, type, sK305: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_709, type, sK306: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_710, type, sK307: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_711, type, sK308: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_743, type, sK340: $i > $i).
% 7.02/1.33 thf(func_def_745, type, sK342: $i > ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_747, type, sK344: $i > $i).
% 7.02/1.33 thf(func_def_749, type, sK346: ($i > $i) > $i > $i > $i).
% 7.02/1.33 thf(func_def_761, type, sK358: $i > $o).
% 7.02/1.33 thf(func_def_770, type, sK367: $i > $i > $i > $o > $i > $i > $i).
% 7.02/1.33 thf(func_def_782, type, sK379: $i > $i).
% 7.02/1.33 thf(func_def_785, type, sK382: $i > $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_786, type, sK383: ($i > $i) > $i > $i > $i).
% 7.02/1.33 thf(func_def_787, type, sK384: $i > ($i > $i) > $i > $i > $i).
% 7.02/1.33 thf(func_def_788, type, sK385: $i > $i).
% 7.02/1.33 thf(func_def_791, type, sK388: $i > $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_797, type, sK394: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_812, type, sK409: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_813, type, sK410: $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_819, type, sK416: $i > $i > $o).
% 7.02/1.33 thf(func_def_837, type, sK434: $i > $i).
% 7.02/1.33 thf(func_def_838, type, sK435: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_839, type, sK436: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_871, type, sK468: $i > $o).
% 7.02/1.33 thf(func_def_884, type, sK481: $i > $o).
% 7.02/1.33 thf(func_def_894, type, sK491: $i > $i > $i).
% 7.02/1.33 thf(func_def_914, type, sK511: $i > $i > $o).
% 7.02/1.33 thf(func_def_929, type, sK526: $i > $i > $i).
% 7.02/1.33 thf(func_def_943, type, sK540: $i > $i).
% 7.02/1.33 thf(func_def_951, type, sK548: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_952, type, sK549: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_967, type, sK564: $i > $o).
% 7.02/1.33 thf(func_def_969, type, sK566: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_970, type, sK567: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_973, type, sK570: $i > $o).
% 7.02/1.33 thf(func_def_975, type, sK572: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_976, type, sK573: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_978, type, sK575: $i > $i).
% 7.02/1.33 thf(func_def_983, type, sK580: $i > $i > $o).
% 7.02/1.33 thf(func_def_998, type, sK595: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_999, type, sK596: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1000, type, sK597: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1001, type, sK598: $i > $o).
% 7.02/1.33 thf(func_def_1005, type, sK602: $i > $o).
% 7.02/1.33 thf(func_def_1006, type, sK603: $i > $o).
% 7.02/1.33 thf(func_def_1007, type, sK604: ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1008, type, sK605: ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1011, type, sK608: $i > $i > $i).
% 7.02/1.33 thf(func_def_1014, type, sK611: $i > ($i > $i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1015, type, sK612: ($i > $i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1016, type, sK613: ($i > $i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1017, type, sK614: ($i > $i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1020, type, sK617: $i > $i > $o).
% 7.02/1.33 thf(func_def_1021, type, sK618: ($i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1022, type, sK619: ($i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1023, type, sK620: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1026, type, sK623: $i > $o).
% 7.02/1.33 thf(func_def_1027, type, sK624: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1028, type, sK625: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1029, type, sK626: $i > $o).
% 7.02/1.33 thf(func_def_1031, type, sK628: $i > $i).
% 7.02/1.33 thf(func_def_1034, type, sK631: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1035, type, sK632: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1036, type, sK633: $i > $o).
% 7.02/1.33 thf(func_def_1053, type, sK650: $i > $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1067, type, sK664: $i > $i > $i > $i > $o).
% 7.02/1.33 thf(func_def_1078, type, sK675: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1079, type, sK676: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1080, type, sK677: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1081, type, sK678: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1088, type, sK685: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1102, type, sK699: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1103, type, sK700: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1118, type, sK715: $i > $i > $o).
% 7.02/1.33 thf(func_def_1123, type, sK720: $i > $i > $o).
% 7.02/1.33 thf(func_def_1143, type, sK740: $i > $i > $i).
% 7.02/1.33 thf(func_def_1148, type, sK745: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1149, type, sK746: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1150, type, sK747: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1151, type, sK748: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1186, type, sK783: $i > $i > $i).
% 7.02/1.33 thf(func_def_1188, type, sK785: $i > $o).
% 7.02/1.33 thf(func_def_1189, type, sK786: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1190, type, sK787: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1191, type, sK788: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1192, type, sK789: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1193, type, sK790: $i > $o).
% 7.02/1.33 thf(func_def_1205, type, sK802: $i > $i).
% 7.02/1.33 thf(func_def_1207, type, sK804: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1216, type, sK813: $i > $i).
% 7.02/1.33 thf(func_def_1219, type, sK816: $i > $i).
% 7.02/1.33 thf(func_def_1230, type, sK827: $i > $i).
% 7.02/1.33 thf(func_def_1231, type, sK828: ($i > $i) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1232, type, sK829: $i > $i > $o).
% 7.02/1.33 thf(func_def_1240, type, sK837: $i > $o).
% 7.02/1.33 thf(func_def_1241, type, sK838: $i > $o).
% 7.02/1.33 thf(func_def_1242, type, sK839: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1258, type, sK855: $i > $i > $i).
% 7.02/1.33 thf(func_def_1271, type, sK868: $i > $i > $i).
% 7.02/1.33 thf(func_def_1272, type, sK869: $i > $i > $i).
% 7.02/1.33 thf(func_def_1274, type, sK871: $i > $i).
% 7.02/1.33 thf(func_def_1276, type, sK873: $i > ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_1295, type, sK892: $i > $i > $i).
% 7.02/1.33 thf(func_def_1298, type, sK895: $i > $o).
% 7.02/1.33 thf(func_def_1310, type, sK907: $i > $o).
% 7.02/1.33 thf(func_def_1313, type, sK910: $i > $o).
% 7.02/1.33 thf(func_def_1314, type, sK911: $i > $o).
% 7.02/1.33 thf(func_def_1322, type, sK919: $i > $i > $o).
% 7.02/1.33 thf(func_def_1323, type, sK920: ($i > $i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1324, type, sK921: $i > ($i > $i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1325, type, sK922: ($i > $i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1326, type, sK923: ($i > $i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1339, type, sK936: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1340, type, sK937: $i > $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1344, type, sK941: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1345, type, sK942: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1346, type, sK943: $i > $o).
% 7.02/1.33 thf(func_def_1364, type, sK961: $i > $o).
% 7.02/1.33 thf(func_def_1366, type, sK963: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1367, type, sK964: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1371, type, sK968: $i > $o > $i > $i).
% 7.02/1.33 thf(func_def_1375, type, sK972: $i > $o).
% 7.02/1.33 thf(func_def_1377, type, sK974: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1385, type, sK982: $i > $o).
% 7.02/1.33 thf(func_def_1386, type, sK983: $i > $o).
% 7.02/1.33 thf(func_def_1387, type, sK984: ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1388, type, sK985: ($i > $o) > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1405, type, sK1002: $i > $i).
% 7.02/1.33 thf(func_def_1408, type, sK1005: $i > $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_1409, type, sK1006: $i > ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_1436, type, sK1033: $i > $i > $i).
% 7.02/1.33 thf(func_def_1460, type, sK1057: $i > $o).
% 7.02/1.33 thf(func_def_1461, type, sK1058: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1462, type, sK1059: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1466, type, sK1063: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1467, type, sK1064: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1475, type, sK1072: $i > $i > $i > $i).
% 7.02/1.33 thf(func_def_1481, type, sK1078: $i > $i).
% 7.02/1.33 thf(func_def_1484, type, sK1081: $i > $i > ($i > $i) > $i).
% 7.02/1.33 thf(func_def_1485, type, sK1082: $i > ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_1494, type, sK1091: $i > $o).
% 7.02/1.33 thf(func_def_1508, type, sK1105: $i > $o).
% 7.02/1.33 thf(func_def_1518, type, sK1115: $i > $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1519, type, sK1116: $i > $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1520, type, sK1117: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1523, type, sK1120: $i > $o).
% 7.02/1.33 thf(func_def_1525, type, sK1122: $i > $i > $o).
% 7.02/1.33 thf(func_def_1534, type, sK1131: $i > $o).
% 7.02/1.33 thf(func_def_1535, type, sK1132: ($i > $o) > $i > $i).
% 7.02/1.33 thf(func_def_1536, type, sK1133: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1537, type, sK1134: ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1538, type, sK1135: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1539, type, sK1136: $i > $o).
% 7.02/1.33 thf(func_def_1541, type, sK1138: $i > $i).
% 7.02/1.33 thf(func_def_1542, type, sK1139: $i > $i).
% 7.02/1.33 thf(func_def_1543, type, sK1140: ($i > $i) > $i > $i).
% 7.02/1.33 thf(func_def_1544, type, sK1141: ($i > $i) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1577, type, sK1174: $i > ($i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1578, type, sK1175: $i > ($i > $o) > $i > $i > $i).
% 7.02/1.33 thf(func_def_1579, type, sK1176: $i > ($i > $o) > $i).
% 7.02/1.33 thf(func_def_1583, type, sK1180: $i > $o).
% 7.02/1.33 thf(func_def_1586, type, sK1183: $i > $i).
% 7.02/1.33 thf(func_def_1587, type, ph1184: !>[X0: $tType]:(X0)).
% 7.02/1.33 thf(f9958,plain,(
% 7.02/1.33 $false),
% 7.02/1.33 inference(avatar_sat_refutation,[],[f9819,f9895,f9956])).
% 7.02/1.33 thf(f9956,plain,(
% 7.02/1.33 spl1181_214),
% 7.02/1.33 inference(avatar_contradiction_clause,[],[f9955])).
% 7.02/1.33 thf(f9955,plain,(
% 7.02/1.33 $false | spl1181_214),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f9946])).
% 7.02/1.33 thf(f9946,plain,(
% 7.02/1.33 ($true = $false) | spl1181_214),
% 7.02/1.33 inference(backward_demodulation,[],[f8779,f9923])).
% 7.02/1.33 thf(f9923,plain,(
% 7.02/1.33 ((in @ sK1182 @ sK1170) = $false) | spl1181_214),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f9918])).
% 7.02/1.33 thf(f9918,plain,(
% 7.02/1.33 ($true != $true) | ((in @ sK1182 @ sK1170) = $false) | spl1181_214),
% 7.02/1.33 inference(superposition,[],[f9817,f7176])).
% 7.02/1.33 thf(f7176,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = (subset @ X1 @ sK1170)) | ($false = (in @ X1 @ sK1170))) )),
% 7.02/1.33 inference(binary_proxy_clausification,[],[f7175])).
% 7.02/1.33 thf(f7175,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK1170) => (subset @ X1 @ sK1170)))) )),
% 7.02/1.33 inference(beta_eta_normalization,[],[f7174])).
% 7.02/1.33 thf(f7174,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ sK1170) => (subset @ Y0 @ sK1170))) @ X1))) )),
% 7.02/1.33 inference(pi_clausification,[],[f7173])).
% 7.02/1.33 thf(f7173,plain,(
% 7.02/1.33 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1170) => (subset @ Y0 @ sK1170)))))),
% 7.02/1.33 inference(beta_eta_normalization,[],[f6692])).
% 7.02/1.33 thf(f6692,plain,(
% 7.02/1.33 ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))) @ sK1170))),
% 7.02/1.33 inference(definition_unfolding,[],[f5157,f3715])).
% 7.02/1.33 thf(f3715,plain,(
% 7.02/1.33 (transitiveset = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))))),
% 7.02/1.33 inference(cnf_transformation,[],[f883])).
% 7.02/1.33 thf(f883,plain,(
% 7.02/1.33 (transitiveset = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))))),
% 7.02/1.33 inference(fool_elimination,[],[f882])).
% 7.02/1.33 thf(f882,plain,(
% 7.02/1.33 ((^[X0 : $i] : (! [X1] : ((in @ X1 @ X0) => (subset @ X1 @ X0)))) = transitiveset)),
% 7.02/1.33 inference(rectify,[],[f331])).
% 7.02/1.33 thf(f331,axiom,(
% 7.02/1.33 ((^[X3 : $i] : (! [X11] : ((in @ X11 @ X3) => (subset @ X11 @ X3)))) = transitiveset)),
% 7.02/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitiveset)).
% 7.02/1.33 thf(f5157,plain,(
% 7.02/1.33 ($true = (transitiveset @ sK1170))),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f3491,plain,(
% 7.02/1.33 (exuE1 = $true) & (binintersectSubset5 = $true) & (inIntersectImpInUnion2 = $true) & (symdiffI1 = $true) & (doubleComplementI1 = $true) & (woz2Ex = $true) & (emptyE1 = $true) & (contrasubsetT2 = $true) & (emptysetsubset = $true) & (inIntersectImpInUnion = $true) & (setminusSubset1 = $true) & (emptysetimpfalse = $true) & (omegaSclos = $true) & (leftInvIsSurj = $true) & (emptyInPowerset = $true) & (upairsetE = $true) & (woz2B = $true) & (ap2p = $true) & (emptysetE = $true) & (funcGraphProp2 = $true) & (exuI3 = $true) & (woz13rule0 = $true) & (complementSubsetComplementIntersect = $true) & (nonemptyI = $true) & (binunionEcases = $true) & (dpsetconstrEL1 = $true) & (lam2lamEq = $true) & (powersetI1 = $true) & (setadjoinE = $true) & (descrp = $true) & (image1Ex1 = $true) & (prop2set2propI = $true) & (funcGraphProp3 = $true) & (cartprodmempair = $true) & (powerset__Cong = $true) & (sepInPowerset = $true) & (powersetE = $true) & (lamp = $true) & (cartprodpairmemEL = $true) & (setukpairIR = $true) & (ex1E1 = $true) & (setminusELneg = $true) & (image1Equiv = $true) & (cartprodfstin = $true) & (infuncsetfunc = $true) & (setukpairinjL = $true) & (kpairsurjEq = $true) & (lam2p = $true) & (singletonsuniq = $true) & (notinself2 = $true) & (setunion__Cong = $true) & (ubforcartprodlem3 = $true) & (woz1_2 = $true) & (singletoninpowunion = $true) & (kfstsingleton = $true) & (subbreln1 = $true) & (beta2 = $true) & (setunionAx = $true) & (setminusERneg = $true) & (omega0Ax = $true) & (subsetI2 = $true) & (cartprodmempaircEq = $true) & (binintersectLsub = $true) & (breln1unionIR = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (complementUnionInPowersetComplement = $true) & (binintersectTERcontra = $true) & (eqimpsubset2 = $true) & (peano0notS = $true) & (inCongP = $true) & (iftrueProp2 = $true) & (binunionLsub = $true) & (breln1compprop = $true) & (theeq = $true) & (contrasubsetT3 = $true) & (symdiffIneg2 = $true) & (binunionRsub = $true) & (in__Cong = $true) & (funcinfuncset = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (symdiffIneg1 = $true) & (dsetconstrER = $true) & (powersetTE1 = $true) & (singletonprop = $true) & (nonemptyImpWitness = $true) & (setextAx = $true) & (setukpairinjR = $true) & (demorgan1 = $true) & (demorgan2a1 = $true) & (binintersectI = $true) & (prop2setI = $true) & (eqinunit = $true) & (notsubsetI = $true) & (kpairp = $true) & (setadjoinOr = $true) & (breln1unionI = $true) & (notinsingleton = $true) & (notinself = $true) & (breln1compE = $true) & (quantDeMorgan3 = $true) & (subbreln = $true) & (cartprodpairin = $true) & (upairequniteq = $true) & (ex1E2 = $true) & (powersetI = $true) & (dpsetconstrER = $true) & (setadjoin__Cong = $true) & (setukpairinjR12 = $true) & (powersetTI1 = $true) & (complementT_lem = $true) & (upairsetIR = $true) & (breln1unionEcases = $true) & (eqimpsubset1 = $true) & (binintersectTELcontra = $true) & (setukpairinjL2 = $true) & (image1E = $true) & (iftrueorfalse = $true) & (cartprodpairmemER = $true) & (binintersectSubset4 = $true) & (secondinupair = $true) & (inComplementUnionImpInComplement1 = $true) & (injFuncSetFuncInj = $true) & (setunionsingleton = $true) & (iftrue = $true) & (setadjoinIR = $true) & (breln1invE = $true) & (emptyI = $true) & (binunionT_lem = $true) & (complementTnotintersectT = $true) & (powersetT_lem = $true) & (dpsetconstrI = $true) & (setminusEL = $true) & (contraSubsetComplement = $true) & (exuI1 = $true) & (woz1_1 = $true) & (setextT = $true) & (cartprodsndpairEq = $true) & (complementInPowersetComplementIntersect = $true) & (setminusT_lem = $true) & (setunionE = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (contrasubsetT1 = $true) & (cartprodsndin = $true) & (inPowerset = $true) & (lamProp = $true) & (foundationAx = $true) & (dsetconstrEL = $true) & (subsetI1 = $true) & (omegaSp = $true) & (binunionTIRcontra = $true) & (nonemptyI1 = $true) & (funcext = $true) & (subset2powerset = $true) & (setunionsingleton1 = $true) & (quantDeMorgan1 = $true) & (doubleComplementEq = $true) & (cartprodfstpairEq = $true) & (iftrueProp1 = $true) & (dpsetconstrERa = $true) & (upairsubunion = $true) & (setukpairIL = $true) & (breln1unionCommutes = $true) & (demorgan2a2 = $true) & (upairset2E = $true) & (setminusER = $true) & (woz2A = $true) & (breln1all1 = $true) & (transitivesetOp1 = $true) & (omegaIndAx = $true) & (setOfPairsIsBReln = $true) & (demorgan2a = $true) & (notinemptyset = $true) & (breln1SetBreln1 = $true) & (brelnall1 = $true) & (setbeta = $true) & (ubforcartprodlem2 = $true) & (binunionE = $true) & (subsetE2 = $true) & (singletoninpowerset = $true) & (brelnall2 = $true) & (injFuncSetFuncIn = $true) & (iffalseProp1 = $true) & (setukpairinjR11 = $true) & (nonemptyE1 = $true) & (inComplementUnionImpNotIn1 = $true) & (image1Ex = $true) & (setext = $true) & (doubleComplementSub1 = $true) & (setadjoinSub2 = $true) & (exuE3u = $true) & (setukpairinjR1 = $true) & (emptysetAx = $true) & (funcextLem = $true) & (powersetE1 = $true) & (woz1_3 = $true) & (exuEu = $true) & (doubleComplementE1 = $true) & (woz2W = $true) & (subsetE = $true) & (ksndsingleton = $true) & (woz1_4 = $true) & (replAx = $true) & (apProp = $true) & (ex1I2 = $true) & (breln1all2 = $true) & (upairsetIL = $true) & (setunionE2 = $true) & (omegaSAx = $true) & (demorgan2b2 = $true) & (setoftrueEq = $true) & (binunionTILcontra = $true) & (eqbreln1 = $true) & (choice2fnsingleton = $true) & (setminusILneg = $true) & (image1I = $true) & (subPowSU = $true) & (demorgan1a = $true) & (binintersectSubset1 = $true) & (setminusSubset2 = $true) & (upairset2IR = $true) & (eqbreln = $true) & (breln1unionIL = $true) & (ifp = $true) & (funcImageSingleton = $true) & (setminusI = $true) & (eta2 = $true) & (kfstpairEq = $true) & (kpairiskpair = $true) & (contrasubsetT = $true) & (woz1_5 = $true) & (woz13rule2 = $true) & (dpsetconstrEL2 = $true) & (complementTI1 = $true) & (sepSubset = $true) & (surjCantorThm = $true) & (dsetconstrI = $true) & (ap2apEq2 = $true) & (breln1compI = $true) & (injFuncInInjFuncSet = $true) & (complementImpComplementIntersect = $true) & (iffalse = $true) & (inIntersectImpInIntersectUnions = $true) & (demorgan2b = $true) & (breln1invprop = $true) & (quantDeMorgan4 = $true) & (vacuousDall = $true) & (bs114d = $true) & (funcGraphProp4 = $true) & (setunionsingleton2 = $true) & (setminusIRneg = $true) & (notdexE = $true) & (quantDeMorgan2 = $true) & (wellorderingAx = $true) & (subsetRefl = $true) & (notdallE = $true) & (breln1unionE = $true) & (prop2setE = $true) & (setukpairinjR2 = $true) & (emptyinPowerset = $true) & (cartprodpairsurjEq = $true) & (demorgan2 = $true) & (noeltsimpempty = $true) & (setadjoinSub = $true) & (binintersectER = $true) & (funcext2 = $true) & (dsetconstr__Cong = $true) & (iffalseProp2 = $true) & (uniqinunit = $true) & (subsetemptysetimpeq = $true) & (exuE2 = $true) & (binunionTE = $true) & (ksndpairEq = $true) & (eta1 = $true) & (woz13rule1 = $true) & (upairinpowunion = $true) & (notequalI2 = $true) & (breln1invI = $true) & (app = $true) & (singletonsswitch = $true) & (binunionIL = $true) & (setadjoinAx = $true) & (beta1 = $true) & (descr__Cong = $true) & (binintersectT_lem = $true) & (binunionIR = $true) & (binintersectSubset2 = $true) & (complementTcontraSubset = $true) & (breln1unionprop = $true) & (ifSingleton = $true) & (powersetAx = $true) & (cartprodmempair1 = $true) & (peanoSinj = $true) & (omega__Cong = $true) & (funcGraphProp1 = $true) & (demorgan1b = $true) & (woz13rule3 = $true) & (powersetsubset = $true) & (setOfPairsIsBReln1 = $true) & (binintersectSubset3 = $true) & (notequalI1 = $true) & (ubforcartprodlem1 = $true) & (symdiffI2 = $true) & (subsetTI = $true) & (binintersectEL = $true) & (dpsetconstrSub = $true) & (binintersectRsub = $true) & (breln1compEex = $true) & (exuE3e = $true) & (ex1I = $true) & (setadjoinIL = $true) & (binunionTEcontra = $true) & (exuI2 = $true) & (setukpairinjL1 = $true) & (((transitiveset @ sK1169) = $true) & (($true = (transitiveset @ sK1170)) & ((transitiveset @ (binintersect @ sK1169 @ sK1170)) != $true))) & (foundation2 = $true) & (surjFuncSetFuncSurj = $true) & (symdiffE = $true) & (exu__Cong = $true) & (surjFuncSetFuncIn = $true) & (setunionI = $true) & (disjointsetsI1 = $true) & (intersectInPowersetIntersectUnions = $true) & (complementTE1 = $true) & (theprop = $true) & (setextsub = $true) & (doubleComplementSub2 = $true) & (woz13rule4 = $true)),
% 7.02/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1169,sK1170])],[f1096,f3490,f3489])).
% 7.02/1.33 thf(f3489,plain,(
% 7.02/1.33 ? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (($true = (transitiveset @ X1)) & ((transitiveset @ (binintersect @ X0 @ X1)) != $true))) => (((transitiveset @ sK1169) = $true) & ? [X1] : (($true = (transitiveset @ X1)) & ($true != (transitiveset @ (binintersect @ sK1169 @ X1)))))),
% 7.02/1.33 introduced(choice_axiom,[])).
% 7.02/1.33 thf(f3490,plain,(
% 7.02/1.33 ? [X1] : (($true = (transitiveset @ X1)) & ($true != (transitiveset @ (binintersect @ sK1169 @ X1)))) => (($true = (transitiveset @ sK1170)) & ((transitiveset @ (binintersect @ sK1169 @ sK1170)) != $true))),
% 7.02/1.33 introduced(choice_axiom,[])).
% 7.02/1.33 thf(f1096,plain,(
% 7.02/1.33 (exuE1 = $true) & (binintersectSubset5 = $true) & (inIntersectImpInUnion2 = $true) & (symdiffI1 = $true) & (doubleComplementI1 = $true) & (woz2Ex = $true) & (emptyE1 = $true) & (contrasubsetT2 = $true) & (emptysetsubset = $true) & (inIntersectImpInUnion = $true) & (setminusSubset1 = $true) & (emptysetimpfalse = $true) & (omegaSclos = $true) & (leftInvIsSurj = $true) & (emptyInPowerset = $true) & (upairsetE = $true) & (woz2B = $true) & (ap2p = $true) & (emptysetE = $true) & (funcGraphProp2 = $true) & (exuI3 = $true) & (woz13rule0 = $true) & (complementSubsetComplementIntersect = $true) & (nonemptyI = $true) & (binunionEcases = $true) & (dpsetconstrEL1 = $true) & (lam2lamEq = $true) & (powersetI1 = $true) & (setadjoinE = $true) & (descrp = $true) & (image1Ex1 = $true) & (prop2set2propI = $true) & (funcGraphProp3 = $true) & (cartprodmempair = $true) & (powerset__Cong = $true) & (sepInPowerset = $true) & (powersetE = $true) & (lamp = $true) & (cartprodpairmemEL = $true) & (setukpairIR = $true) & (ex1E1 = $true) & (setminusELneg = $true) & (image1Equiv = $true) & (cartprodfstin = $true) & (infuncsetfunc = $true) & (setukpairinjL = $true) & (kpairsurjEq = $true) & (lam2p = $true) & (singletonsuniq = $true) & (notinself2 = $true) & (setunion__Cong = $true) & (ubforcartprodlem3 = $true) & (woz1_2 = $true) & (singletoninpowunion = $true) & (kfstsingleton = $true) & (subbreln1 = $true) & (beta2 = $true) & (setunionAx = $true) & (setminusERneg = $true) & (omega0Ax = $true) & (subsetI2 = $true) & (cartprodmempaircEq = $true) & (binintersectLsub = $true) & (breln1unionIR = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (complementUnionInPowersetComplement = $true) & (binintersectTERcontra = $true) & (eqimpsubset2 = $true) & (peano0notS = $true) & (inCongP = $true) & (iftrueProp2 = $true) & (binunionLsub = $true) & (breln1compprop = $true) & (theeq = $true) & (contrasubsetT3 = $true) & (symdiffIneg2 = $true) & (binunionRsub = $true) & (in__Cong = $true) & (funcinfuncset = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (symdiffIneg1 = $true) & (dsetconstrER = $true) & (powersetTE1 = $true) & (singletonprop = $true) & (nonemptyImpWitness = $true) & (setextAx = $true) & (setukpairinjR = $true) & (demorgan1 = $true) & (demorgan2a1 = $true) & (binintersectI = $true) & (prop2setI = $true) & (eqinunit = $true) & (notsubsetI = $true) & (kpairp = $true) & (setadjoinOr = $true) & (breln1unionI = $true) & (notinsingleton = $true) & (notinself = $true) & (breln1compE = $true) & (quantDeMorgan3 = $true) & (subbreln = $true) & (cartprodpairin = $true) & (upairequniteq = $true) & (ex1E2 = $true) & (powersetI = $true) & (dpsetconstrER = $true) & (setadjoin__Cong = $true) & (setukpairinjR12 = $true) & (powersetTI1 = $true) & (complementT_lem = $true) & (upairsetIR = $true) & (breln1unionEcases = $true) & (eqimpsubset1 = $true) & (binintersectTELcontra = $true) & (setukpairinjL2 = $true) & (image1E = $true) & (iftrueorfalse = $true) & (cartprodpairmemER = $true) & (binintersectSubset4 = $true) & (secondinupair = $true) & (inComplementUnionImpInComplement1 = $true) & (injFuncSetFuncInj = $true) & (setunionsingleton = $true) & (iftrue = $true) & (setadjoinIR = $true) & (breln1invE = $true) & (emptyI = $true) & (binunionT_lem = $true) & (complementTnotintersectT = $true) & (powersetT_lem = $true) & (dpsetconstrI = $true) & (setminusEL = $true) & (contraSubsetComplement = $true) & (exuI1 = $true) & (woz1_1 = $true) & (setextT = $true) & (cartprodsndpairEq = $true) & (complementInPowersetComplementIntersect = $true) & (setminusT_lem = $true) & (setunionE = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (contrasubsetT1 = $true) & (cartprodsndin = $true) & (inPowerset = $true) & (lamProp = $true) & (foundationAx = $true) & (dsetconstrEL = $true) & (subsetI1 = $true) & (omegaSp = $true) & (binunionTIRcontra = $true) & (nonemptyI1 = $true) & (funcext = $true) & (subset2powerset = $true) & (setunionsingleton1 = $true) & (quantDeMorgan1 = $true) & (doubleComplementEq = $true) & (cartprodfstpairEq = $true) & (iftrueProp1 = $true) & (dpsetconstrERa = $true) & (upairsubunion = $true) & (setukpairIL = $true) & (breln1unionCommutes = $true) & (demorgan2a2 = $true) & (upairset2E = $true) & (setminusER = $true) & (woz2A = $true) & (breln1all1 = $true) & (transitivesetOp1 = $true) & (omegaIndAx = $true) & (setOfPairsIsBReln = $true) & (demorgan2a = $true) & (notinemptyset = $true) & (breln1SetBreln1 = $true) & (brelnall1 = $true) & (setbeta = $true) & (ubforcartprodlem2 = $true) & (binunionE = $true) & (subsetE2 = $true) & (singletoninpowerset = $true) & (brelnall2 = $true) & (injFuncSetFuncIn = $true) & (iffalseProp1 = $true) & (setukpairinjR11 = $true) & (nonemptyE1 = $true) & (inComplementUnionImpNotIn1 = $true) & (image1Ex = $true) & (setext = $true) & (doubleComplementSub1 = $true) & (setadjoinSub2 = $true) & (exuE3u = $true) & (setukpairinjR1 = $true) & (emptysetAx = $true) & (funcextLem = $true) & (powersetE1 = $true) & (woz1_3 = $true) & (exuEu = $true) & (doubleComplementE1 = $true) & (woz2W = $true) & (subsetE = $true) & (ksndsingleton = $true) & (woz1_4 = $true) & (replAx = $true) & (apProp = $true) & (ex1I2 = $true) & (breln1all2 = $true) & (upairsetIL = $true) & (setunionE2 = $true) & (omegaSAx = $true) & (demorgan2b2 = $true) & (setoftrueEq = $true) & (binunionTILcontra = $true) & (eqbreln1 = $true) & (choice2fnsingleton = $true) & (setminusILneg = $true) & (image1I = $true) & (subPowSU = $true) & (demorgan1a = $true) & (binintersectSubset1 = $true) & (setminusSubset2 = $true) & (upairset2IR = $true) & (eqbreln = $true) & (breln1unionIL = $true) & (ifp = $true) & (funcImageSingleton = $true) & (setminusI = $true) & (eta2 = $true) & (kfstpairEq = $true) & (kpairiskpair = $true) & (contrasubsetT = $true) & (woz1_5 = $true) & (woz13rule2 = $true) & (dpsetconstrEL2 = $true) & (complementTI1 = $true) & (sepSubset = $true) & (surjCantorThm = $true) & (dsetconstrI = $true) & (ap2apEq2 = $true) & (breln1compI = $true) & (injFuncInInjFuncSet = $true) & (complementImpComplementIntersect = $true) & (iffalse = $true) & (inIntersectImpInIntersectUnions = $true) & (demorgan2b = $true) & (breln1invprop = $true) & (quantDeMorgan4 = $true) & (vacuousDall = $true) & (bs114d = $true) & (funcGraphProp4 = $true) & (setunionsingleton2 = $true) & (setminusIRneg = $true) & (notdexE = $true) & (quantDeMorgan2 = $true) & (wellorderingAx = $true) & (subsetRefl = $true) & (notdallE = $true) & (breln1unionE = $true) & (prop2setE = $true) & (setukpairinjR2 = $true) & (emptyinPowerset = $true) & (cartprodpairsurjEq = $true) & (demorgan2 = $true) & (noeltsimpempty = $true) & (setadjoinSub = $true) & (binintersectER = $true) & (funcext2 = $true) & (dsetconstr__Cong = $true) & (iffalseProp2 = $true) & (uniqinunit = $true) & (subsetemptysetimpeq = $true) & (exuE2 = $true) & (binunionTE = $true) & (ksndpairEq = $true) & (eta1 = $true) & (woz13rule1 = $true) & (upairinpowunion = $true) & (notequalI2 = $true) & (breln1invI = $true) & (app = $true) & (singletonsswitch = $true) & (binunionIL = $true) & (setadjoinAx = $true) & (beta1 = $true) & (descr__Cong = $true) & (binintersectT_lem = $true) & (binunionIR = $true) & (binintersectSubset2 = $true) & (complementTcontraSubset = $true) & (breln1unionprop = $true) & (ifSingleton = $true) & (powersetAx = $true) & (cartprodmempair1 = $true) & (peanoSinj = $true) & (omega__Cong = $true) & (funcGraphProp1 = $true) & (demorgan1b = $true) & (woz13rule3 = $true) & (powersetsubset = $true) & (setOfPairsIsBReln1 = $true) & (binintersectSubset3 = $true) & (notequalI1 = $true) & (ubforcartprodlem1 = $true) & (symdiffI2 = $true) & (subsetTI = $true) & (binintersectEL = $true) & (dpsetconstrSub = $true) & (binintersectRsub = $true) & (breln1compEex = $true) & (exuE3e = $true) & (ex1I = $true) & (setadjoinIL = $true) & (binunionTEcontra = $true) & (exuI2 = $true) & (setukpairinjL1 = $true) & ? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (($true = (transitiveset @ X1)) & ((transitiveset @ (binintersect @ X0 @ X1)) != $true))) & (foundation2 = $true) & (surjFuncSetFuncSurj = $true) & (symdiffE = $true) & (exu__Cong = $true) & (surjFuncSetFuncIn = $true) & (setunionI = $true) & (disjointsetsI1 = $true) & (intersectInPowersetIntersectUnions = $true) & (complementTE1 = $true) & (theprop = $true) & (setextsub = $true) & (doubleComplementSub2 = $true) & (woz13rule4 = $true)),
% 7.02/1.33 inference(flattening,[],[f1095])).
% 7.02/1.33 thf(f1095,plain,(
% 7.02/1.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (($true = (transitiveset @ X1)) & ((transitiveset @ (binintersect @ X0 @ X1)) != $true))) & (transitivesetOp1 = $true)) & (peanoSinj = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 7.02/1.33 inference(ennf_transformation,[],[f624])).
% 7.02/1.33 thf(f624,plain,(
% 7.02/1.33 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ! [X0] : (($true = (transitiveset @ X0)) => ! [X1] : (($true = (transitiveset @ X1)) => ((transitiveset @ (binintersect @ X0 @ X1)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 7.02/1.33 inference(fool_elimination,[],[f623])).
% 7.02/1.33 thf(f623,plain,(
% 7.02/1.33 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => ! [X0] : ((transitiveset @ X0) => ! [X1] : ((transitiveset @ X1) => (transitiveset @ (binintersect @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 7.02/1.33 inference(rectify,[],[f334])).
% 7.02/1.33 thf(f334,negated_conjecture,(
% 7.02/1.33 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => ! [X11] : ((transitiveset @ X11) => ! [X16] : ((transitiveset @ X16) => (transitiveset @ (binintersect @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 7.02/1.33 inference(negated_conjecture,[],[f333])).
% 7.02/1.33 thf(f333,conjecture,(
% 7.02/1.33 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => ! [X11] : ((transitiveset @ X11) => ! [X16] : ((transitiveset @ X16) => (transitiveset @ (binintersect @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 7.02/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintTransitive)).
% 7.02/1.33 thf(f9817,plain,(
% 7.02/1.33 ($true != (subset @ sK1182 @ sK1170)) | spl1181_214),
% 7.02/1.33 inference(avatar_component_clause,[],[f9816])).
% 7.02/1.33 thf(f9816,plain,(
% 7.02/1.33 spl1181_214 <=> ($true = (subset @ sK1182 @ sK1170))),
% 7.02/1.33 introduced(avatar_definition,[new_symbols(naming,[spl1181_214])])).
% 7.02/1.33 thf(f8779,plain,(
% 7.02/1.33 ((in @ sK1182 @ sK1170) = $true)),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f8770])).
% 7.02/1.33 thf(f8770,plain,(
% 7.02/1.33 ($true != $true) | ((in @ sK1182 @ sK1170) = $true)),
% 7.02/1.33 inference(superposition,[],[f7132,f6830])).
% 7.02/1.33 thf(f6830,plain,(
% 7.02/1.33 ($true = (in @ sK1182 @ (binintersect @ sK1169 @ sK1170)))),
% 7.02/1.33 inference(binary_proxy_clausification,[],[f6828])).
% 7.02/1.33 thf(f6828,plain,(
% 7.02/1.33 (((in @ sK1182 @ (binintersect @ sK1169 @ sK1170)) => (subset @ sK1182 @ (binintersect @ sK1169 @ sK1170))) = $false)),
% 7.02/1.33 inference(beta_eta_normalization,[],[f6827])).
% 7.02/1.33 thf(f6827,plain,(
% 7.02/1.33 ($false = ((^[Y0 : $i]: ((in @ Y0 @ (binintersect @ sK1169 @ sK1170)) => (subset @ Y0 @ (binintersect @ sK1169 @ sK1170)))) @ sK1182))),
% 7.02/1.33 inference(sigma_clausification,[],[f6826])).
% 7.02/1.33 thf(f6826,plain,(
% 7.02/1.33 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (binintersect @ sK1169 @ sK1170)) => (subset @ Y0 @ (binintersect @ sK1169 @ sK1170))))))),
% 7.02/1.33 inference(beta_eta_normalization,[],[f6693])).
% 7.02/1.33 thf(f6693,plain,(
% 7.02/1.33 ($true != ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))) @ (binintersect @ sK1169 @ sK1170)))),
% 7.02/1.33 inference(definition_unfolding,[],[f5156,f3715])).
% 7.02/1.33 thf(f5156,plain,(
% 7.02/1.33 ((transitiveset @ (binintersect @ sK1169 @ sK1170)) != $true)),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f7132,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true)) )),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f6338])).
% 7.02/1.33 thf(f6338,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ($true != $true) | ((in @ X0 @ X1) = $true)) )),
% 7.02/1.33 inference(definition_unfolding,[],[f4660,f5208])).
% 7.02/1.33 thf(f5208,plain,(
% 7.02/1.33 (binintersectER = $true)),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f4660,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true) | (binintersectER != $true)) )),
% 7.02/1.33 inference(cnf_transformation,[],[f2930])).
% 7.02/1.33 thf(f2930,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true)) | (binintersectER != $true)) & ((binintersectER = $true) | (($true = (in @ sK847 @ (binintersect @ sK849 @ sK848))) & ($true != (in @ sK847 @ sK848))))),
% 7.02/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK847,sK848,sK849])],[f2928,f2929])).
% 7.02/1.33 thf(f2929,plain,(
% 7.02/1.33 ? [X3,X4,X5] : (((in @ X3 @ (binintersect @ X5 @ X4)) = $true) & ((in @ X3 @ X4) != $true)) => (($true = (in @ sK847 @ (binintersect @ sK849 @ sK848))) & ($true != (in @ sK847 @ sK848)))),
% 7.02/1.33 introduced(choice_axiom,[])).
% 7.02/1.33 thf(f2928,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true)) | (binintersectER != $true)) & ((binintersectER = $true) | ? [X3,X4,X5] : (((in @ X3 @ (binintersect @ X5 @ X4)) = $true) & ((in @ X3 @ X4) != $true)))),
% 7.02/1.33 inference(rectify,[],[f2927])).
% 7.02/1.33 thf(f2927,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true)) | (binintersectER != $true)) & ((binintersectER = $true) | ? [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) = $true) & ((in @ X0 @ X1) != $true)))),
% 7.02/1.33 inference(nnf_transformation,[],[f1337])).
% 7.02/1.33 thf(f1337,plain,(
% 7.02/1.33 ! [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) != $true) | ((in @ X0 @ X1) = $true)) <=> (binintersectER = $true)),
% 7.02/1.33 inference(ennf_transformation,[],[f584])).
% 7.02/1.33 thf(f584,plain,(
% 7.02/1.33 (binintersectER = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ (binintersect @ X2 @ X1)) = $true) => ((in @ X0 @ X1) = $true))),
% 7.02/1.33 inference(fool_elimination,[],[f583])).
% 7.02/1.33 thf(f583,plain,(
% 7.02/1.33 (binintersectER = ! [X0,X1,X2] : ((in @ X0 @ (binintersect @ X2 @ X1)) => (in @ X0 @ X1)))),
% 7.02/1.33 inference(rectify,[],[f114])).
% 7.02/1.33 thf(f114,axiom,(
% 7.02/1.33 (binintersectER = ! [X1,X4,X3] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4)))),
% 7.02/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectER)).
% 7.02/1.33 thf(f9895,plain,(
% 7.02/1.33 spl1181_213),
% 7.02/1.33 inference(avatar_contradiction_clause,[],[f9894])).
% 7.02/1.33 thf(f9894,plain,(
% 7.02/1.33 $false | spl1181_213),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f9884])).
% 7.02/1.33 thf(f9884,plain,(
% 7.02/1.33 ($true = $false) | spl1181_213),
% 7.02/1.33 inference(backward_demodulation,[],[f8746,f9828])).
% 7.02/1.33 thf(f9828,plain,(
% 7.02/1.33 ($false = (in @ sK1182 @ sK1169)) | spl1181_213),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f9820])).
% 7.02/1.33 thf(f9820,plain,(
% 7.02/1.33 ($false = (in @ sK1182 @ sK1169)) | ($true != $true) | spl1181_213),
% 7.02/1.33 inference(superposition,[],[f9814,f7105])).
% 7.02/1.33 thf(f7105,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = (subset @ X1 @ sK1169)) | ($false = (in @ X1 @ sK1169))) )),
% 7.02/1.33 inference(binary_proxy_clausification,[],[f7104])).
% 7.02/1.33 thf(f7104,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK1169) => (subset @ X1 @ sK1169)))) )),
% 7.02/1.33 inference(beta_eta_normalization,[],[f7103])).
% 7.02/1.33 thf(f7103,plain,(
% 7.02/1.33 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ sK1169) => (subset @ Y0 @ sK1169))) @ X1))) )),
% 7.02/1.33 inference(pi_clausification,[],[f7102])).
% 7.02/1.33 thf(f7102,plain,(
% 7.02/1.33 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1169) => (subset @ Y0 @ sK1169)))))),
% 7.02/1.33 inference(beta_eta_normalization,[],[f6691])).
% 7.02/1.33 thf(f6691,plain,(
% 7.02/1.33 ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))) @ sK1169))),
% 7.02/1.33 inference(definition_unfolding,[],[f5158,f3715])).
% 7.02/1.33 thf(f5158,plain,(
% 7.02/1.33 ((transitiveset @ sK1169) = $true)),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f9814,plain,(
% 7.02/1.33 ($true != (subset @ sK1182 @ sK1169)) | spl1181_213),
% 7.02/1.33 inference(avatar_component_clause,[],[f9813])).
% 7.02/1.33 thf(f9813,plain,(
% 7.02/1.33 spl1181_213 <=> ($true = (subset @ sK1182 @ sK1169))),
% 7.02/1.33 introduced(avatar_definition,[new_symbols(naming,[spl1181_213])])).
% 7.02/1.33 thf(f8746,plain,(
% 7.02/1.33 ($true = (in @ sK1182 @ sK1169))),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f8738])).
% 7.02/1.33 thf(f8738,plain,(
% 7.02/1.33 ($true = (in @ sK1182 @ sK1169)) | ($true != $true)),
% 7.02/1.33 inference(superposition,[],[f6985,f6830])).
% 7.02/1.33 thf(f6985,plain,(
% 7.02/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) | ($true = (in @ X4 @ X5))) )),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f6374])).
% 7.02/1.33 thf(f6374,plain,(
% 7.02/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) | ($true = (in @ X4 @ X5)) | ($true != $true)) )),
% 7.02/1.33 inference(definition_unfolding,[],[f4708,f5168])).
% 7.02/1.33 thf(f5168,plain,(
% 7.02/1.33 (binintersectEL = $true)),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f4708,plain,(
% 7.02/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) | ($true = (in @ X4 @ X5)) | (binintersectEL != $true)) )),
% 7.02/1.33 inference(cnf_transformation,[],[f2989])).
% 7.02/1.33 thf(f2989,plain,(
% 7.02/1.33 ((binintersectEL = $true) | (($true = (in @ sK880 @ (binintersect @ sK881 @ sK879))) & ($true != (in @ sK880 @ sK881)))) & (! [X3,X4,X5] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) | ($true = (in @ X4 @ X5))) | (binintersectEL != $true))),
% 7.02/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK879,sK880,sK881])],[f2987,f2988])).
% 7.02/1.33 thf(f2988,plain,(
% 7.02/1.33 ? [X0,X1,X2] : (($true = (in @ X1 @ (binintersect @ X2 @ X0))) & ($true != (in @ X1 @ X2))) => (($true = (in @ sK880 @ (binintersect @ sK881 @ sK879))) & ($true != (in @ sK880 @ sK881)))),
% 7.02/1.33 introduced(choice_axiom,[])).
% 7.02/1.33 thf(f2987,plain,(
% 7.02/1.33 ((binintersectEL = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ (binintersect @ X2 @ X0))) & ($true != (in @ X1 @ X2)))) & (! [X3,X4,X5] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) | ($true = (in @ X4 @ X5))) | (binintersectEL != $true))),
% 7.02/1.33 inference(rectify,[],[f2986])).
% 7.02/1.33 thf(f2986,plain,(
% 7.02/1.33 ((binintersectEL = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ (binintersect @ X2 @ X0))) & ($true != (in @ X1 @ X2)))) & (! [X0,X1,X2] : (($true != (in @ X1 @ (binintersect @ X2 @ X0))) | ($true = (in @ X1 @ X2))) | (binintersectEL != $true))),
% 7.02/1.33 inference(nnf_transformation,[],[f1186])).
% 7.02/1.33 thf(f1186,plain,(
% 7.02/1.33 (binintersectEL = $true) <=> ! [X0,X1,X2] : (($true != (in @ X1 @ (binintersect @ X2 @ X0))) | ($true = (in @ X1 @ X2)))),
% 7.02/1.33 inference(ennf_transformation,[],[f384])).
% 7.02/1.33 thf(f384,plain,(
% 7.02/1.33 ! [X0,X1,X2] : (($true = (in @ X1 @ (binintersect @ X2 @ X0))) => ($true = (in @ X1 @ X2))) <=> (binintersectEL = $true)),
% 7.02/1.33 inference(fool_elimination,[],[f383])).
% 7.02/1.33 thf(f383,plain,(
% 7.02/1.33 (! [X0,X1,X2] : ((in @ X1 @ (binintersect @ X2 @ X0)) => (in @ X1 @ X2)) = binintersectEL)),
% 7.02/1.33 inference(rectify,[],[f110])).
% 7.02/1.33 thf(f110,axiom,(
% 7.02/1.33 (! [X4,X1,X3] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X3)) = binintersectEL)),
% 7.02/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectEL)).
% 7.02/1.33 thf(f9819,plain,(
% 7.02/1.33 ~spl1181_214 | ~spl1181_213),
% 7.02/1.33 inference(avatar_split_clause,[],[f9808,f9813,f9816])).
% 7.02/1.33 thf(f9808,plain,(
% 7.02/1.33 ($true != (subset @ sK1182 @ sK1170)) | ($true != (subset @ sK1182 @ sK1169))),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f9803])).
% 7.02/1.33 thf(f9803,plain,(
% 7.02/1.33 ($true != (subset @ sK1182 @ sK1170)) | ($true != (subset @ sK1182 @ sK1169)) | ($true = $false)),
% 7.02/1.33 inference(superposition,[],[f6829,f7165])).
% 7.02/1.33 thf(f7165,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X2 @ (binintersect @ X0 @ X1)) = $true) | ($true != (subset @ X2 @ X0)) | ($true != (subset @ X2 @ X1))) )),
% 7.02/1.33 inference(trivial_inequality_removal,[],[f6514])).
% 7.02/1.33 thf(f6514,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (subset @ X2 @ X1)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true) | ($true != (subset @ X2 @ X0)) | ($true != $true)) )),
% 7.02/1.33 inference(definition_unfolding,[],[f4908,f5473])).
% 7.02/1.33 thf(f5473,plain,(
% 7.02/1.33 (binintersectSubset5 = $true)),
% 7.02/1.33 inference(cnf_transformation,[],[f3491])).
% 7.02/1.33 thf(f4908,plain,(
% 7.02/1.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true) | (binintersectSubset5 != $true)) )),
% 7.02/1.33 inference(cnf_transformation,[],[f3216])).
% 7.02/1.33 thf(f3216,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (($true != (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | (($true = (subset @ sK1015 @ sK1014)) & ((subset @ sK1015 @ sK1013) = $true) & ($true != (subset @ sK1015 @ (binintersect @ sK1013 @ sK1014)))))),
% 7.02/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1013,sK1014,sK1015])],[f3214,f3215])).
% 7.02/1.33 thf(f3215,plain,(
% 7.02/1.33 ? [X3,X4,X5] : (((subset @ X5 @ X4) = $true) & ((subset @ X5 @ X3) = $true) & ((subset @ X5 @ (binintersect @ X3 @ X4)) != $true)) => (($true = (subset @ sK1015 @ sK1014)) & ((subset @ sK1015 @ sK1013) = $true) & ($true != (subset @ sK1015 @ (binintersect @ sK1013 @ sK1014))))),
% 7.02/1.33 introduced(choice_axiom,[])).
% 7.02/1.33 thf(f3214,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (($true != (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | ? [X3,X4,X5] : (((subset @ X5 @ X4) = $true) & ((subset @ X5 @ X3) = $true) & ((subset @ X5 @ (binintersect @ X3 @ X4)) != $true)))),
% 7.02/1.33 inference(rectify,[],[f3213])).
% 7.02/1.33 thf(f3213,plain,(
% 7.02/1.33 (! [X0,X1,X2] : (($true != (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | ? [X0,X1,X2] : (($true = (subset @ X2 @ X1)) & ($true = (subset @ X2 @ X0)) & ((subset @ X2 @ (binintersect @ X0 @ X1)) != $true)))),
% 7.02/1.33 inference(nnf_transformation,[],[f1343])).
% 7.02/1.33 thf(f1343,plain,(
% 7.02/1.33 ! [X0,X1,X2] : (($true != (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true)) <=> (binintersectSubset5 = $true)),
% 7.02/1.33 inference(flattening,[],[f1342])).
% 7.02/1.33 thf(f1342,plain,(
% 7.02/1.33 ! [X0,X1,X2] : ((((subset @ X2 @ (binintersect @ X0 @ X1)) = $true) | ($true != (subset @ X2 @ X1))) | ($true != (subset @ X2 @ X0))) <=> (binintersectSubset5 = $true)),
% 7.02/1.33 inference(ennf_transformation,[],[f699])).
% 7.02/1.33 thf(f699,plain,(
% 7.02/1.33 ! [X0,X1,X2] : (($true = (subset @ X2 @ X0)) => (($true = (subset @ X2 @ X1)) => ((subset @ X2 @ (binintersect @ X0 @ X1)) = $true))) <=> (binintersectSubset5 = $true)),
% 7.02/1.33 inference(fool_elimination,[],[f698])).
% 7.02/1.33 thf(f698,plain,(
% 7.02/1.33 (binintersectSubset5 = ! [X0,X1,X2] : ((subset @ X2 @ X0) => ((subset @ X2 @ X1) => (subset @ X2 @ (binintersect @ X0 @ X1)))))),
% 7.02/1.33 inference(rectify,[],[f109])).
% 7.02/1.33 thf(f109,axiom,(
% 7.02/1.33 (binintersectSubset5 = ! [X3,X4,X5] : ((subset @ X5 @ X3) => ((subset @ X5 @ X4) => (subset @ X5 @ (binintersect @ X3 @ X4)))))),
% 7.02/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectSubset5)).
% 7.02/1.33 thf(f6829,plain,(
% 7.02/1.33 ($false = (subset @ sK1182 @ (binintersect @ sK1169 @ sK1170)))),
% 7.02/1.33 inference(binary_proxy_clausification,[],[f6828])).
% 7.02/1.33 % SZS output end Proof for theBenchmark
% 7.02/1.33 % (23189)------------------------------
% 7.02/1.33 % (23189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.02/1.33 % (23189)Termination reason: Refutation
% 7.02/1.33
% 7.02/1.33 % (23189)Memory used [KB]: 13304
% 7.02/1.33 % (23189)Time elapsed: 0.448 s
% 7.02/1.33 % (23189)Instructions burned: 846 (million)
% 7.02/1.33 % (23189)------------------------------
% 7.02/1.33 % (23189)------------------------------
% 7.02/1.33 % (23140)Success in time 0.934 s
% 7.02/1.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------