TSTP Solution File: SEU741^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU741^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 03:51:10 EDT 2024
% Result : Theorem 0.14s 0.56s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU741^1 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 16:27:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % (30500)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.33 % (30495)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.33 % (30497)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.33 % (30501)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.34 % (30498)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.34 % (30499)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.34 % (30496)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.34 % (30498)Instruction limit reached!
% 0.14/0.34 % (30498)------------------------------
% 0.14/0.34 % (30498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (30499)Instruction limit reached!
% 0.14/0.34 % (30499)------------------------------
% 0.14/0.34 % (30499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (30498)Termination reason: Unknown
% 0.14/0.34 % (30498)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (30498)Memory used [KB]: 1535
% 0.14/0.34 % (30498)Time elapsed: 0.003 s
% 0.14/0.34 % (30498)Instructions burned: 3 (million)
% 0.14/0.34 % (30498)------------------------------
% 0.14/0.34 % (30498)------------------------------
% 0.14/0.34 % (30499)Termination reason: Unknown
% 0.14/0.34 % (30499)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (30499)Memory used [KB]: 1535
% 0.14/0.34 % (30499)Time elapsed: 0.003 s
% 0.14/0.34 % (30499)Instructions burned: 3 (million)
% 0.14/0.34 % (30499)------------------------------
% 0.14/0.34 % (30499)------------------------------
% 0.14/0.34 % (30496)Instruction limit reached!
% 0.14/0.34 % (30496)------------------------------
% 0.14/0.34 % (30496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (30496)Termination reason: Unknown
% 0.14/0.34 % (30496)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (30496)Memory used [KB]: 1535
% 0.14/0.34 % (30496)Time elapsed: 0.004 s
% 0.14/0.34 % (30496)Instructions burned: 5 (million)
% 0.14/0.34 % (30496)------------------------------
% 0.14/0.34 % (30496)------------------------------
% 0.14/0.35 % (30497)Instruction limit reached!
% 0.14/0.35 % (30497)------------------------------
% 0.14/0.35 % (30497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (30497)Termination reason: Unknown
% 0.14/0.35 % (30497)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (30497)Memory used [KB]: 2046
% 0.14/0.35 % (30497)Time elapsed: 0.014 s
% 0.14/0.35 % (30497)Instructions burned: 28 (million)
% 0.14/0.35 % (30497)------------------------------
% 0.14/0.35 % (30497)------------------------------
% 0.14/0.35 % (30501)Instruction limit reached!
% 0.14/0.35 % (30501)------------------------------
% 0.14/0.35 % (30501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (30501)Termination reason: Unknown
% 0.14/0.35 % (30501)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (30501)Memory used [KB]: 1791
% 0.14/0.35 % (30501)Time elapsed: 0.011 s
% 0.14/0.35 % (30501)Instructions burned: 19 (million)
% 0.14/0.35 % (30501)------------------------------
% 0.14/0.35 % (30501)------------------------------
% 0.14/0.35 % (30502)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.35 % (30502)Instruction limit reached!
% 0.14/0.35 % (30502)------------------------------
% 0.14/0.35 % (30502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (30502)Termination reason: Unknown
% 0.14/0.35 % (30502)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (30502)Memory used [KB]: 1407
% 0.14/0.35 % (30502)Time elapsed: 0.003 s
% 0.14/0.35 % (30502)Instructions burned: 3 (million)
% 0.14/0.35 % (30502)------------------------------
% 0.14/0.35 % (30502)------------------------------
% 0.14/0.35 % (30503)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)
% 0.14/0.35 % (30504)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)
% 0.14/0.35 % (30505)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)
% 0.14/0.35 % (30505)Instruction limit reached!
% 0.14/0.35 % (30505)------------------------------
% 0.14/0.35 % (30505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (30505)Termination reason: Unknown
% 0.14/0.35 % (30505)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (30505)Memory used [KB]: 1535
% 0.14/0.35 % (30505)Time elapsed: 0.003 s
% 0.14/0.35 % (30505)Instructions burned: 4 (million)
% 0.14/0.35 % (30505)------------------------------
% 0.14/0.35 % (30505)------------------------------
% 0.14/0.36 % (30504)Instruction limit reached!
% 0.14/0.36 % (30504)------------------------------
% 0.14/0.36 % (30504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (30504)Termination reason: Unknown
% 0.14/0.36 % (30504)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (30504)Memory used [KB]: 1791
% 0.14/0.36 % (30504)Time elapsed: 0.009 s
% 0.14/0.36 % (30504)Instructions burned: 15 (million)
% 0.14/0.36 % (30504)------------------------------
% 0.14/0.36 % (30504)------------------------------
% 0.14/0.36 % (30506)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)
% 0.14/0.36 % (30507)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.36 % (30508)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.36 % (30507)Instruction limit reached!
% 0.14/0.36 % (30507)------------------------------
% 0.14/0.36 % (30507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (30507)Termination reason: Unknown
% 0.14/0.36 % (30507)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (30507)Memory used [KB]: 1535
% 0.14/0.36 % (30507)Time elapsed: 0.005 s
% 0.14/0.36 % (30507)Instructions burned: 7 (million)
% 0.14/0.36 % (30507)------------------------------
% 0.14/0.36 % (30507)------------------------------
% 0.14/0.37 % (30509)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)
% 0.14/0.37 % (30503)Instruction limit reached!
% 0.14/0.37 % (30503)------------------------------
% 0.14/0.37 % (30503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (30503)Termination reason: Unknown
% 0.14/0.37 % (30503)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (30503)Memory used [KB]: 2174
% 0.14/0.37 % (30503)Time elapsed: 0.018 s
% 0.14/0.37 % (30503)Instructions burned: 37 (million)
% 0.14/0.37 % (30503)------------------------------
% 0.14/0.37 % (30503)------------------------------
% 0.14/0.37 % (30509)Instruction limit reached!
% 0.14/0.37 % (30509)------------------------------
% 0.14/0.37 % (30509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (30509)Termination reason: Unknown
% 0.14/0.37 % (30509)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (30509)Memory used [KB]: 1535
% 0.14/0.37 % (30509)Time elapsed: 0.003 s
% 0.14/0.37 % (30509)Instructions burned: 3 (million)
% 0.14/0.37 % (30509)------------------------------
% 0.14/0.37 % (30509)------------------------------
% 0.14/0.37 % (30508)Instruction limit reached!
% 0.14/0.37 % (30508)------------------------------
% 0.14/0.37 % (30508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (30508)Termination reason: Unknown
% 0.14/0.37 % (30508)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (30508)Memory used [KB]: 1791
% 0.14/0.37 % (30508)Time elapsed: 0.009 s
% 0.14/0.37 % (30508)Instructions burned: 17 (million)
% 0.14/0.37 % (30508)------------------------------
% 0.14/0.37 % (30508)------------------------------
% 0.14/0.37 % (30510)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)
% 0.14/0.37 % (30510)Instruction limit reached!
% 0.14/0.37 % (30510)------------------------------
% 0.14/0.37 % (30510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (30510)Termination reason: Unknown
% 0.14/0.37 % (30510)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (30510)Memory used [KB]: 1535
% 0.14/0.37 % (30510)Time elapsed: 0.003 s
% 0.14/0.37 % (30510)Instructions burned: 3 (million)
% 0.14/0.37 % (30510)------------------------------
% 0.14/0.37 % (30510)------------------------------
% 0.14/0.38 % (30511)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)
% 0.14/0.38 % (30512)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)
% 0.14/0.38 % (30511)Instruction limit reached!
% 0.14/0.38 % (30511)------------------------------
% 0.14/0.38 % (30511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (30511)Termination reason: Unknown
% 0.14/0.38 % (30511)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (30511)Memory used [KB]: 1535
% 0.14/0.38 % (30511)Time elapsed: 0.005 s
% 0.14/0.38 % (30511)Instructions burned: 7 (million)
% 0.14/0.38 % (30511)------------------------------
% 0.14/0.38 % (30511)------------------------------
% 0.14/0.38 % (30512)Instruction limit reached!
% 0.14/0.38 % (30512)------------------------------
% 0.14/0.38 % (30512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (30512)Termination reason: Unknown
% 0.14/0.38 % (30512)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (30512)Memory used [KB]: 1535
% 0.14/0.38 % (30512)Time elapsed: 0.003 s
% 0.14/0.38 % (30512)Instructions burned: 3 (million)
% 0.14/0.38 % (30512)------------------------------
% 0.14/0.38 % (30512)------------------------------
% 0.14/0.38 % (30513)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (30514)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)
% 0.14/0.39 % (30515)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.14/0.39 % (30513)Instruction limit reached!
% 0.14/0.39 % (30513)------------------------------
% 0.14/0.39 % (30513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30513)Termination reason: Unknown
% 0.14/0.39 % (30513)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (30513)Memory used [KB]: 1535
% 0.14/0.39 % (30513)Time elapsed: 0.004 s
% 0.14/0.39 % (30513)Instructions burned: 5 (million)
% 0.14/0.39 % (30513)------------------------------
% 0.14/0.39 % (30513)------------------------------
% 0.14/0.39 % (30514)Instruction limit reached!
% 0.14/0.39 % (30514)------------------------------
% 0.14/0.39 % (30514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (30514)Termination reason: Unknown
% 0.14/0.39 % (30514)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (30514)Memory used [KB]: 1791
% 0.14/0.39 % (30514)Time elapsed: 0.010 s
% 0.14/0.39 % (30514)Instructions burned: 19 (million)
% 0.14/0.39 % (30514)------------------------------
% 0.14/0.39 % (30514)------------------------------
% 0.14/0.39 % (30516)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.39 % (30517)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)
% 0.14/0.40 % (30516)Instruction limit reached!
% 0.14/0.40 % (30516)------------------------------
% 0.14/0.40 % (30516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (30516)Termination reason: Unknown
% 0.14/0.40 % (30516)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (30516)Memory used [KB]: 1535
% 0.14/0.40 % (30516)Time elapsed: 0.005 s
% 0.14/0.40 % (30516)Instructions burned: 7 (million)
% 0.14/0.40 % (30516)------------------------------
% 0.14/0.40 % (30516)------------------------------
% 0.14/0.40 % (30518)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)
% 0.14/0.41 % (30519)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.41 % (30518)Instruction limit reached!
% 0.14/0.41 % (30518)------------------------------
% 0.14/0.41 % (30518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (30518)Termination reason: Unknown
% 0.14/0.41 % (30518)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (30518)Memory used [KB]: 1918
% 0.14/0.41 % (30518)Time elapsed: 0.009 s
% 0.14/0.41 % (30518)Instructions burned: 21 (million)
% 0.14/0.41 % (30518)------------------------------
% 0.14/0.41 % (30518)------------------------------
% 0.14/0.41 % (30519)Instruction limit reached!
% 0.14/0.41 % (30519)------------------------------
% 0.14/0.41 % (30519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (30519)Termination reason: Unknown
% 0.14/0.41 % (30519)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (30519)Memory used [KB]: 1535
% 0.14/0.41 % (30519)Time elapsed: 0.004 s
% 0.14/0.41 % (30519)Instructions burned: 5 (million)
% 0.14/0.41 % (30519)------------------------------
% 0.14/0.41 % (30519)------------------------------
% 0.14/0.41 % (30520)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)
% 0.14/0.41 % (30495)Instruction limit reached!
% 0.14/0.41 % (30495)------------------------------
% 0.14/0.41 % (30495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (30495)Termination reason: Unknown
% 0.14/0.41 % (30495)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (30495)Memory used [KB]: 7675
% 0.14/0.41 % (30495)Time elapsed: 0.080 s
% 0.14/0.41 % (30495)Instructions burned: 183 (million)
% 0.14/0.41 % (30495)------------------------------
% 0.14/0.41 % (30495)------------------------------
% 0.14/0.41 % (30520)Instruction limit reached!
% 0.14/0.41 % (30520)------------------------------
% 0.14/0.41 % (30520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (30520)Termination reason: Unknown
% 0.14/0.41 % (30520)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (30520)Memory used [KB]: 1535
% 0.14/0.41 % (30520)Time elapsed: 0.005 s
% 0.14/0.41 % (30520)Instructions burned: 7 (million)
% 0.14/0.41 % (30520)------------------------------
% 0.14/0.41 % (30520)------------------------------
% 0.14/0.42 % (30523)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.14/0.43 % (30527)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.14/0.43 % (30524)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 (2999ds/779Mi)
% 0.14/0.44 % (30526)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 (2999ds/19Mi)
% 0.14/0.45 % (30526)Instruction limit reached!
% 0.14/0.45 % (30526)------------------------------
% 0.14/0.45 % (30526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.45 % (30526)Termination reason: Unknown
% 0.14/0.45 % (30526)Termination phase: shuffling
% 0.14/0.45
% 0.14/0.45 % (30526)Memory used [KB]: 1791
% 0.14/0.45 % (30526)Time elapsed: 0.010 s
% 0.14/0.45 % (30526)Instructions burned: 19 (million)
% 0.14/0.45 % (30526)------------------------------
% 0.14/0.45 % (30526)------------------------------
% 0.14/0.46 % (30531)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.14/0.47 % (30531)Instruction limit reached!
% 0.14/0.47 % (30531)------------------------------
% 0.14/0.47 % (30531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.47 % (30531)Termination reason: Unknown
% 0.14/0.47 % (30531)Termination phase: shuffling
% 0.14/0.47
% 0.14/0.47 % (30531)Memory used [KB]: 1791
% 0.14/0.47 % (30531)Time elapsed: 0.009 s
% 0.14/0.47 % (30531)Instructions burned: 17 (million)
% 0.14/0.47 % (30531)------------------------------
% 0.14/0.47 % (30531)------------------------------
% 0.14/0.47 % (30500)Instruction limit reached!
% 0.14/0.47 % (30500)------------------------------
% 0.14/0.47 % (30500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.47 % (30500)Termination reason: Unknown
% 0.14/0.47 % (30500)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (30500)Memory used [KB]: 9722
% 0.14/0.47 % (30500)Time elapsed: 0.134 s
% 0.14/0.47 % (30500)Instructions burned: 276 (million)
% 0.14/0.47 % (30500)------------------------------
% 0.14/0.47 % (30500)------------------------------
% 0.14/0.48 % (30533)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.14/0.48 % (30533)Instruction limit reached!
% 0.14/0.48 % (30533)------------------------------
% 0.14/0.48 % (30533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.48 % (30533)Termination reason: Unknown
% 0.14/0.48 % (30533)Termination phase: shuffling
% 0.14/0.48
% 0.14/0.48 % (30533)Memory used [KB]: 1535
% 0.14/0.48 % (30533)Time elapsed: 0.004 s
% 0.14/0.48 % (30533)Instructions burned: 3 (million)
% 0.14/0.48 % (30533)------------------------------
% 0.14/0.48 % (30533)------------------------------
% 0.14/0.49 % (30536)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.14/0.50 % (30537)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.14/0.50 % (30536)Instruction limit reached!
% 0.14/0.50 % (30536)------------------------------
% 0.14/0.50 % (30536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.50 % (30536)Termination reason: Unknown
% 0.14/0.50 % (30536)Termination phase: shuffling
% 0.14/0.50
% 0.14/0.50 % (30536)Memory used [KB]: 2046
% 0.14/0.50 % (30536)Time elapsed: 0.016 s
% 0.14/0.50 % (30536)Instructions burned: 31 (million)
% 0.14/0.50 % (30536)------------------------------
% 0.14/0.50 % (30536)------------------------------
% 0.14/0.52 % (30538)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.14/0.55 % (30537)Instruction limit reached!
% 0.14/0.55 % (30537)------------------------------
% 0.14/0.55 % (30537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.55 % (30537)Termination reason: Unknown
% 0.14/0.55 % (30537)Termination phase: Property scanning
% 0.14/0.55
% 0.14/0.55 % (30537)Memory used [KB]: 2686
% 0.14/0.55 % (30537)Time elapsed: 0.054 s
% 0.14/0.55 % (30537)Instructions burned: 128 (million)
% 0.14/0.55 % (30537)------------------------------
% 0.14/0.55 % (30537)------------------------------
% 0.14/0.55 % (30517)First to succeed.
% 0.14/0.56 % (30517)Refutation found. Thanks to Tanya!
% 0.14/0.56 % SZS status Theorem for theBenchmark
% 0.14/0.56 % SZS output start Proof for theBenchmark
% 0.14/0.56 thf(func_def_0, type, in: $i > $i > $o).
% 0.14/0.56 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.14/0.56 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.14/0.56 thf(func_def_8, type, powerset: $i > $i).
% 0.14/0.56 thf(func_def_10, type, setunion: $i > $i).
% 0.14/0.56 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_26, type, prop2set: $o > $i).
% 0.14/0.56 thf(func_def_36, type, nonempty: $i > $o).
% 0.14/0.56 thf(func_def_69, type, set2prop: $i > $o).
% 0.14/0.56 thf(func_def_88, type, subset: $i > $i > $o).
% 0.14/0.56 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.14/0.56 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.14/0.56 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.14/0.56 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.14/0.56 thf(func_def_135, type, regular: $i > $o).
% 0.14/0.56 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.14/0.56 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.14/0.56 thf(func_def_153, type, iskpair: $i > $o).
% 0.14/0.56 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.14/0.56 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.14/0.56 thf(func_def_177, type, singleton: $i > $o).
% 0.14/0.56 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 0.14/0.56 thf(func_def_184, type, atmost1p: $i > $o).
% 0.14/0.56 thf(func_def_185, type, atleast2p: $i > $o).
% 0.14/0.56 thf(func_def_186, type, atmost2p: $i > $o).
% 0.14/0.56 thf(func_def_187, type, upairsetp: $i > $o).
% 0.14/0.56 thf(func_def_191, type, kfst: $i > $i).
% 0.14/0.56 thf(func_def_203, type, ksnd: $i > $i).
% 0.14/0.56 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 0.14/0.56 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.56 thf(func_def_222, type, func: $i > $i > $i > $o).
% 0.14/0.56 thf(func_def_223, type, funcSet: $i > $i > $i).
% 0.14/0.56 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 0.14/0.56 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 0.14/0.56 thf(func_def_311, type, sP2: $i > $i > $i > $i > $o).
% 0.14/0.56 thf(func_def_313, type, sP4: $o > $i > $i > $i > $o).
% 0.14/0.56 thf(func_def_316, type, sP7: $i > $i > $o).
% 0.14/0.56 thf(func_def_317, type, sP8: $i > $o).
% 0.14/0.56 thf(func_def_318, type, sP9: $i > $i > $o).
% 0.14/0.56 thf(func_def_319, type, sP10: $i > $i > $o).
% 0.14/0.56 thf(func_def_320, type, sP11: $i > $i > $i > $o).
% 0.14/0.56 thf(func_def_327, type, sK18: $i > $o).
% 0.14/0.56 thf(func_def_331, type, sK22: $i > $o).
% 0.14/0.56 thf(func_def_332, type, sK23: $i > $o).
% 0.14/0.56 thf(func_def_333, type, sK24: ($i > $o) > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_334, type, sK25: ($i > $o) > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_351, type, sK42: $i > $i > $i).
% 0.14/0.56 thf(func_def_352, type, sK43: $i > $i > $i).
% 0.14/0.56 thf(func_def_361, type, sK52: $i > $o).
% 0.14/0.56 thf(func_def_363, type, sK54: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_364, type, sK55: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_375, type, sK66: $i > $o).
% 0.14/0.56 thf(func_def_377, type, sK68: $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_388, type, sK79: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_402, type, sK93: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_403, type, sK94: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_404, type, sK95: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_405, type, sK96: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_412, type, sK103: $i > $i > $o).
% 0.14/0.56 thf(func_def_448, type, sK139: $i > $o).
% 0.14/0.56 thf(func_def_456, type, sK147: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_472, type, sK163: $i > $o).
% 0.14/0.56 thf(func_def_475, type, sK166: $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_478, type, sK169: $i > $o).
% 0.14/0.56 thf(func_def_491, type, sK182: $i > $i > $o).
% 0.14/0.56 thf(func_def_495, type, sK186: $i > $i > $i).
% 0.14/0.56 thf(func_def_501, type, sK192: $i > $o).
% 0.14/0.56 thf(func_def_513, type, sK204: $i > $o).
% 0.14/0.56 thf(func_def_522, type, sK213: $i > $o).
% 0.14/0.56 thf(func_def_552, type, sK243: $i > ($i > $i) > $i > $i).
% 0.14/0.56 thf(func_def_554, type, sK245: $i > $i).
% 0.14/0.56 thf(func_def_569, type, sK260: $i > $i).
% 0.14/0.56 thf(func_def_571, type, sK262: $i > $o).
% 0.14/0.56 thf(func_def_573, type, sK264: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_574, type, sK265: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_592, type, sK283: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_593, type, sK284: $i > $o).
% 0.14/0.56 thf(func_def_609, type, sK300: $i > $o).
% 0.14/0.56 thf(func_def_618, type, sK309: $i > $o).
% 0.14/0.56 thf(func_def_620, type, sK311: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_621, type, sK312: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_630, type, sK321: $i > $i).
% 0.14/0.56 thf(func_def_631, type, sK322: ($i > $i) > $i > $i > $i).
% 0.14/0.56 thf(func_def_636, type, sK327: $i > $i > $i).
% 0.14/0.56 thf(func_def_640, type, sK331: $i > $i > $i).
% 0.14/0.56 thf(func_def_657, type, sK348: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_658, type, sK349: $i > $o).
% 0.14/0.56 thf(func_def_659, type, sK350: $i > $i).
% 0.14/0.56 thf(func_def_667, type, sK358: $i > $o).
% 0.14/0.56 thf(func_def_678, type, sK369: $i > $i > $i).
% 0.14/0.56 thf(func_def_681, type, sK372: $i > $i > ($i > $i) > $i).
% 0.14/0.56 thf(func_def_682, type, sK373: $i > $i).
% 0.14/0.56 thf(func_def_693, type, sK384: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_695, type, sK386: $i > $o).
% 0.14/0.56 thf(func_def_705, type, sK396: $i > $i).
% 0.14/0.56 thf(func_def_729, type, sK420: ($i > $o) > $i).
% 0.14/0.56 thf(func_def_730, type, sK421: $i > $o).
% 0.14/0.56 thf(func_def_731, type, sK422: $i > $i).
% 0.14/0.56 thf(func_def_734, type, sK425: $i > $i > $i).
% 0.14/0.56 thf(func_def_747, type, sK438: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_749, type, sK440: $i > $o).
% 0.14/0.56 thf(func_def_754, type, sK445: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_760, type, sK451: $i > $i > $o).
% 0.14/0.56 thf(func_def_771, type, sK462: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.14/0.56 thf(func_def_772, type, sK463: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.14/0.56 thf(func_def_775, type, sK466: $i > $o).
% 0.14/0.56 thf(func_def_776, type, sK467: $i > $o).
% 0.14/0.56 thf(func_def_778, type, sK469: $i > $o).
% 0.14/0.56 thf(func_def_782, type, sK473: $i > $i > $o).
% 0.14/0.56 thf(func_def_804, type, sK495: $i > $o).
% 0.14/0.56 thf(func_def_806, type, sK497: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_807, type, sK498: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_812, type, sK503: $i > $i > $o).
% 0.14/0.56 thf(func_def_817, type, sK508: $i > $i).
% 0.14/0.56 thf(func_def_825, type, sK516: $i > $o).
% 0.14/0.56 thf(func_def_827, type, sK518: ($i > $o) > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_828, type, sK519: ($i > $o) > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_831, type, sK522: $i > $i).
% 0.14/0.56 thf(func_def_841, type, sK532: $i > $i).
% 0.14/0.56 thf(func_def_844, type, sK535: $i > $i).
% 0.14/0.56 thf(func_def_848, type, sK539: $i > $o).
% 0.14/0.56 thf(func_def_850, type, sK541: ($i > $o) > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_851, type, sK542: ($i > $o) > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_859, type, sK550: $o > $i > $i > $i).
% 0.14/0.56 thf(func_def_873, type, sK564: $i > $o).
% 0.14/0.56 thf(func_def_890, type, sK581: $i > $o).
% 0.14/0.56 thf(func_def_891, type, sK582: $i > ($i > $i) > $i > $i).
% 0.14/0.56 thf(func_def_893, type, sK584: $i > $i).
% 0.14/0.56 thf(func_def_904, type, sK595: $i > $o).
% 0.14/0.56 thf(func_def_906, type, sK597: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_913, type, sK604: $i > $i).
% 0.14/0.56 thf(func_def_915, type, sK606: ($i > $i) > $i > $i > $i).
% 0.14/0.56 thf(func_def_916, type, sK607: $i > $i > $o).
% 0.14/0.56 thf(func_def_933, type, sK624: $i > $o).
% 0.14/0.56 thf(func_def_939, type, sK630: $i > $i > $i).
% 0.14/0.56 thf(func_def_945, type, sK636: $i > $i > $i).
% 0.14/0.56 thf(func_def_958, type, sK649: $i > $o).
% 0.14/0.56 thf(func_def_960, type, sK651: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_971, type, sK662: $i > $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_983, type, sK674: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_984, type, sK675: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_989, type, sK680: $i > $i > $o).
% 0.14/0.56 thf(func_def_991, type, sK682: $i > $i).
% 0.14/0.56 thf(func_def_992, type, sK683: $i > $i).
% 0.14/0.56 thf(func_def_993, type, sK684: $i > ($i > $i > $o) > $i).
% 0.14/0.56 thf(func_def_994, type, sK685: $i > ($i > $i > $o) > $i).
% 0.14/0.56 thf(func_def_995, type, sK686: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.56 thf(func_def_996, type, sK687: $i > $i).
% 0.14/0.56 thf(func_def_1017, type, sK708: $i > $i > $i).
% 0.14/0.56 thf(func_def_1018, type, sK709: $i > $i > $i).
% 0.14/0.56 thf(func_def_1019, type, sK710: $i > $i > $i).
% 0.14/0.56 thf(func_def_1020, type, sK711: $i > $i > $i).
% 0.14/0.56 thf(func_def_1021, type, sK712: $i > $i > $i).
% 0.14/0.56 thf(func_def_1022, type, sK713: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1023, type, sK714: $i > $i).
% 0.14/0.56 thf(func_def_1024, type, sK715: $i > $i).
% 0.14/0.56 thf(func_def_1025, type, sK716: $i > $i).
% 0.14/0.56 thf(func_def_1026, type, sK717: $i > $i).
% 0.14/0.56 thf(func_def_1027, type, sK718: $i > $i > $i).
% 0.14/0.56 thf(func_def_1028, type, sK719: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1029, type, sK720: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1030, type, sK721: $i > $i > $i).
% 0.14/0.56 thf(func_def_1031, type, sK722: $i > $i > $i).
% 0.14/0.56 thf(func_def_1032, type, sK723: $i > $i).
% 0.14/0.56 thf(func_def_1034, type, sK725: $i > $i).
% 0.14/0.56 thf(func_def_1035, type, sK726: $i > $i).
% 0.14/0.56 thf(func_def_1036, type, sK727: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1040, type, sK731: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1054, type, sK745: $i > $i > $o).
% 0.14/0.56 thf(func_def_1058, type, sK749: $i > $i > $i > $i).
% 0.14/0.56 thf(func_def_1067, type, sK758: $i > $o).
% 0.14/0.56 thf(func_def_1069, type, sK760: ($i > $o) > $i > $i).
% 0.14/0.56 thf(func_def_1074, type, sK765: $i > $o).
% 0.14/0.56 thf(func_def_1075, type, sK766: $i > $o).
% 0.14/0.56 thf(func_def_1076, type, sK767: ($i > $o) > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_1077, type, sK768: ($i > $o) > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_1102, type, sK793: $i > $i > $i).
% 0.14/0.56 thf(func_def_1105, type, sK796: $i > $i).
% 0.14/0.56 thf(func_def_1107, type, sK798: $i > ($i > $i) > $i > $i).
% 0.14/0.56 thf(func_def_1115, type, sK806: $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_1116, type, sK807: $i > $o).
% 0.14/0.56 thf(func_def_1119, type, sK810: $i > $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_1120, type, sK811: $i > $o).
% 0.14/0.56 thf(func_def_1123, type, sK814: $i > $o).
% 0.14/0.56 thf(func_def_1125, type, sK816: $i > ($i > $o) > $i).
% 0.14/0.56 thf(func_def_1130, type, ph821: !>[X0: $tType]:(X0)).
% 0.14/0.56 thf(f4192,plain,(
% 0.14/0.56 $false),
% 0.14/0.56 inference(avatar_sat_refutation,[],[f4137,f4191])).
% 0.14/0.56 thf(f4191,plain,(
% 0.14/0.56 ~spl820_9),
% 0.14/0.56 inference(avatar_split_clause,[],[f4065,f4074])).
% 0.14/0.56 thf(f4074,plain,(
% 0.14/0.56 spl820_9 <=> ((in @ sK146 @ sK144) = $true)),
% 0.14/0.56 introduced(avatar_definition,[new_symbols(naming,[spl820_9])])).
% 0.14/0.56 thf(f4065,plain,(
% 0.14/0.56 ((in @ sK146 @ sK144) != $true)),
% 0.14/0.56 inference(trivial_inequality_removal,[],[f4064])).
% 0.14/0.56 thf(f4064,plain,(
% 0.14/0.56 ($true != $true) | ((in @ sK146 @ sK144) != $true)),
% 0.14/0.56 inference(forward_demodulation,[],[f4043,f2791])).
% 0.14/0.56 thf(f2791,plain,(
% 0.14/0.56 (binunionIL = $true)),
% 0.14/0.56 inference(cnf_transformation,[],[f1349])).
% 0.14/0.56 thf(f1349,plain,(
% 0.14/0.56 (brelnall1 = $true) & (complementT_lem = $true) & (dsetconstrI = $true) & (exuI3 = $true) & (exuEu = $true) & (beta2 = $true) & (setukpairinjR2 = $true) & (setukpairinjR1 = $true) & (binintersectEL = $true) & (prop2set2propI = $true) & (singletoninpowunion = $true) & (binunionT_lem = $true) & (powersetT_lem = $true) & (setbeta = $true) & (complementTE1 = $true) & (emptyE1 = $true) & (((in @ sK143 @ (powerset @ sK142)) = $true) & (((in @ sK144 @ (powerset @ sK142)) = $true) & ((((in @ sK146 @ (binintersect @ sK143 @ sK144)) = $true) & ((in @ sK146 @ (binunion @ sK144 @ sK145)) != $true) & ((in @ sK146 @ sK142) = $true)) & ((in @ sK145 @ (powerset @ sK142)) = $true)))) & (exuE3u = $true) & (omegaSAx = $true) & (cartprodpairmemER = $true) & (dsetconstr__Cong = $true) & (iftrueorfalse = $true) & (setukpairinjL2 = $true) & (funcinfuncset = $true) & (contrasubsetT = $true) & (binunionEcases = $true) & (emptyinunitempty = $true) & (inIntersectImpInUnion = $true) & (descr__Cong = $true) & (funcGraphProp4 = $true) & (cartprodpairsurjEq = $true) & (setminusELneg = $true) & (binintersectLsub = $true) & (eqimpsubset1 = $true) & (binunionIL = $true) & (subsetTI = $true) & (binunionTIRcontra = $true) & (subsetI2 = $true) & (dpsetconstrEL1 = $true) & (setminusSubset1 = $true) & (binintersectSubset4 = $true) & (setukpairinjL = $true) & (lamp = $true) & (setukpairinjR12 = $true) & (symdiffI1 = $true) & (setadjoinAx = $true) & (notinsingleton = $true) & (setunionsingleton1 = $true) & (emptysetimpfalse = $true) & (binintersectRsub = $true) & (setunionsingleton2 = $true) & (inPowerset = $true) & (setext = $true) & (setadjoinSub = $true) & (emptyset__Cong = $true) & (ubforcartprodlem1 = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (beta1 = $true) & (setminusILneg = $true) & (ap2p = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (ex1I2 = $true) & (subsetE = $true) & (setunionsingleton = $true) & (lam2p = $true) & (iftrueProp1 = $true) & (setadjoinIR = $true) & (cartprodfstin = $true) & (setukpairIL = $true) & (setukpairinjL1 = $true) & (emptyI = $true) & (singletonprop = $true) & (setukpairinjR11 = $true) & (funcext = $true) & (symdiffIneg1 = $true) & (binunionRsub = $true) & (setminusLsub = $true) & (descrp = $true) & (vacuousDall = $true) & (contrasubsetT3 = $true) & (kpairsurjEq = $true) & (contrasubsetT2 = $true) & (theeq = $true) & (eqimpsubset2 = $true) & (doubleComplementE1 = $true) & (upairsetIL = $true) & (binintersectSubset3 = $true) & (sepInPowerset = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (brelnall2 = $true) & (emptysetAx = $true) & (doubleComplementEq = $true) & (singletoninpowerset = $true) & (setukpairinjR = $true) & (notequalI2 = $true) & (setadjoinSub2 = $true) & (setoftrueEq = $true) & (nonemptyE1 = $true) & (binintersectSubset1 = $true) & (noeltsimpempty = $true) & (exuE3e = $true) & (dpsetconstrER = $true) & (dpsetconstrI = $true) & (complementImpComplementIntersect = $true) & (notsubsetI = $true) & (exuI1 = $true) & (nonemptyI1 = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (quantDeMorgan2 = $true) & (setminusERneg = $true) & (prop2setI = $true) & (setadjoinOr = $true) & (symdiffI2 = $true) & (complementSubsetComplementIntersect = $true) & (in__Cong = $true) & (uniqinunit = $true) & (cartprodfstpairEq = $true) & (iffalse = $true) & (upairsubunion = $true) & (singletonsubset = $true) & (quantDeMorgan3 = $true) & (omega0Ax = $true) & (powersetTI1 = $true) & (upairset2E = $true) & (complementTcontraSubset = $true) & (kpairiskpair = $true) & (iftrue = $true) & (replAx = $true) & (theprop = $true) & (binunionE = $true) & (sepSubset = $true) & (app = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (setminusI = $true) & (subbreln = $true) & (eqinunit = $true) & (singletonsuniq = $true) & (setadjoin__Cong = $true) & (setukpairIR = $true) & (setminusEL = $true) & (ex1E2 = $true) & (setadjoinIL = $true) & (dpsetconstrERa = $true) & (eta1 = $true) & (apProp = $true) & (setminusIRneg = $true) & (powersetsubset = $true) & (cartprodsndin = $true) & (binintersectTELcontra = $true) & (doubleComplementI1 = $true) & (ifSingleton = $true) & (singletonsswitch = $true) & (ap2apEq2 = $true) & (doubleComplementSub2 = $true) & (subsetemptysetimpeq = $true) & (ubforcartprodlem3 = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (binintersectSubset5 = $true) & (lamProp = $true) & (omega__Cong = $true) & (complementTI1 = $true) & (ifp = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (binunionIR = $true) & (ubforcartprodlem2 = $true) & (upairsetE = $true) & (binunionTILcontra = $true) & (infuncsetfunc = $true) & (setunionI = $true) & (binintersectI = $true) & (nonemptyI = $true) & (prop2setE = $true) & (emptyinPowerset = $true) & (powersetAx = $true) & (ksndsingleton = $true) & (funcGraphProp2 = $true) & (funcextLem = $true) & (subsetE2 = $true) & (lam2lamEq = $true) & (notdallE = $true) & (kfstsingleton = $true) & (upairequniteq = $true) & (funcGraphProp3 = $true) & (kpairp = $true) & (complementTnotintersectT = $true) & (setunion__Cong = $true) & (funcGraphProp1 = $true) & (subset2powerset = $true) & (binintersectER = $true) & (bs114d = $true) & (binintersectSubset2 = $true) & (cartprodmempair1 = $true) & (ap2apEq1 = $true) & (subsetTrans = $true) & (funcext2 = $true) & (setOfPairsIsBReln = $true) & (complementInPowersetComplementIntersect = $true) & (powersetTE1 = $true) & (binintersectTERcontra = $true) & (setminusER = $true) & (quantDeMorgan1 = $true) & (notdexE = $true) & (foundationAx = $true) & (omegaIndAx = $true) & (setextsub = $true) & (doubleComplementSub1 = $true) & (subsetI1 = $true) & (ex1I = $true) & (symdiffE = $true) & (exu__Cong = $true) & (emptysetE = $true) & (cartprodmempair = $true) & (contrasubsetT1 = $true) & (powersetI = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (setextT = $true) & (subsetRefl = $true) & (powersetE = $true) & (exuE2 = $true) & (funcImageSingleton = $true) & (cartprodpairin = $true) & (contraSubsetComplement = $true) & (setunionE2 = $true) & (dpsetconstrEL2 = $true) & (binunionLsub = $true) & (emptysetsubset = $true) & (iffalseProp2 = $true) & (emptyInPowerset = $true) & (quantDeMorgan4 = $true) & (powerset__Cong = $true) & (cartprodmempaircEq = $true) & (setminusSubset2 = $true) & (ksndpairEq = $true) & (upairsetIR = $true) & (setunionE = $true) & (eta2 = $true) & (setminusT_lem = $true) & (disjointsetsI1 = $true) & (cartprodsndpairEq = $true) & (iftrueProp2 = $true) & (binintersectT_lem = $true) & (setadjoinE = $true) & (eqbreln = $true) & (exuI2 = $true) & (subPowSU = $true) & (upairinpowunion = $true) & (notinemptyset = $true) & (dpsetconstrSub = $true) & (iffalseProp1 = $true) & (upairset2IR = $true)),
% 0.14/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK142,sK143,sK144,sK145,sK146])],[f1061,f1348,f1347,f1346,f1345])).
% 0.14/0.56 thf(f1345,plain,(
% 0.14/0.56 ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ X0)) = $true) & ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ X1 @ X2)) = $true) & ((in @ X4 @ (binunion @ X2 @ X3)) != $true) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ (powerset @ X0)) = $true)))) => (((in @ sK143 @ (powerset @ sK142)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ sK142)) = $true) & ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ sK143 @ X2)) = $true) & ((in @ X4 @ (binunion @ X2 @ X3)) != $true) & ((in @ X4 @ sK142) = $true)) & ((in @ X3 @ (powerset @ sK142)) = $true))))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f1346,plain,(
% 0.14/0.56 ? [X2] : (((in @ X2 @ (powerset @ sK142)) = $true) & ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ sK143 @ X2)) = $true) & ((in @ X4 @ (binunion @ X2 @ X3)) != $true) & ((in @ X4 @ sK142) = $true)) & ((in @ X3 @ (powerset @ sK142)) = $true))) => (((in @ sK144 @ (powerset @ sK142)) = $true) & ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ sK143 @ sK144)) = $true) & ($true != (in @ X4 @ (binunion @ sK144 @ X3))) & ((in @ X4 @ sK142) = $true)) & ((in @ X3 @ (powerset @ sK142)) = $true)))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f1347,plain,(
% 0.14/0.56 ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ sK143 @ sK144)) = $true) & ($true != (in @ X4 @ (binunion @ sK144 @ X3))) & ((in @ X4 @ sK142) = $true)) & ((in @ X3 @ (powerset @ sK142)) = $true)) => (? [X4] : (((in @ X4 @ (binintersect @ sK143 @ sK144)) = $true) & ((in @ X4 @ (binunion @ sK144 @ sK145)) != $true) & ((in @ X4 @ sK142) = $true)) & ((in @ sK145 @ (powerset @ sK142)) = $true))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f1348,plain,(
% 0.14/0.56 ? [X4] : (((in @ X4 @ (binintersect @ sK143 @ sK144)) = $true) & ((in @ X4 @ (binunion @ sK144 @ sK145)) != $true) & ((in @ X4 @ sK142) = $true)) => (((in @ sK146 @ (binintersect @ sK143 @ sK144)) = $true) & ((in @ sK146 @ (binunion @ sK144 @ sK145)) != $true) & ((in @ sK146 @ sK142) = $true))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f1061,plain,(
% 0.14/0.56 (brelnall1 = $true) & (complementT_lem = $true) & (dsetconstrI = $true) & (exuI3 = $true) & (exuEu = $true) & (beta2 = $true) & (setukpairinjR2 = $true) & (setukpairinjR1 = $true) & (binintersectEL = $true) & (prop2set2propI = $true) & (singletoninpowunion = $true) & (binunionT_lem = $true) & (powersetT_lem = $true) & (setbeta = $true) & (complementTE1 = $true) & (emptyE1 = $true) & ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ X0)) = $true) & ? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ X1 @ X2)) = $true) & ((in @ X4 @ (binunion @ X2 @ X3)) != $true) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ (powerset @ X0)) = $true)))) & (exuE3u = $true) & (omegaSAx = $true) & (cartprodpairmemER = $true) & (dsetconstr__Cong = $true) & (iftrueorfalse = $true) & (setukpairinjL2 = $true) & (funcinfuncset = $true) & (contrasubsetT = $true) & (binunionEcases = $true) & (emptyinunitempty = $true) & (inIntersectImpInUnion = $true) & (descr__Cong = $true) & (funcGraphProp4 = $true) & (cartprodpairsurjEq = $true) & (setminusELneg = $true) & (binintersectLsub = $true) & (eqimpsubset1 = $true) & (binunionIL = $true) & (subsetTI = $true) & (binunionTIRcontra = $true) & (subsetI2 = $true) & (dpsetconstrEL1 = $true) & (setminusSubset1 = $true) & (binintersectSubset4 = $true) & (setukpairinjL = $true) & (lamp = $true) & (setukpairinjR12 = $true) & (symdiffI1 = $true) & (setadjoinAx = $true) & (notinsingleton = $true) & (setunionsingleton1 = $true) & (emptysetimpfalse = $true) & (binintersectRsub = $true) & (setunionsingleton2 = $true) & (inPowerset = $true) & (setext = $true) & (setadjoinSub = $true) & (emptyset__Cong = $true) & (ubforcartprodlem1 = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (beta1 = $true) & (setminusILneg = $true) & (ap2p = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (ex1I2 = $true) & (subsetE = $true) & (setunionsingleton = $true) & (lam2p = $true) & (iftrueProp1 = $true) & (setadjoinIR = $true) & (cartprodfstin = $true) & (setukpairIL = $true) & (setukpairinjL1 = $true) & (emptyI = $true) & (singletonprop = $true) & (setukpairinjR11 = $true) & (funcext = $true) & (symdiffIneg1 = $true) & (binunionRsub = $true) & (setminusLsub = $true) & (descrp = $true) & (vacuousDall = $true) & (contrasubsetT3 = $true) & (kpairsurjEq = $true) & (contrasubsetT2 = $true) & (theeq = $true) & (eqimpsubset2 = $true) & (doubleComplementE1 = $true) & (upairsetIL = $true) & (binintersectSubset3 = $true) & (sepInPowerset = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (brelnall2 = $true) & (emptysetAx = $true) & (doubleComplementEq = $true) & (singletoninpowerset = $true) & (setukpairinjR = $true) & (notequalI2 = $true) & (setadjoinSub2 = $true) & (setoftrueEq = $true) & (nonemptyE1 = $true) & (binintersectSubset1 = $true) & (noeltsimpempty = $true) & (exuE3e = $true) & (dpsetconstrER = $true) & (dpsetconstrI = $true) & (complementImpComplementIntersect = $true) & (notsubsetI = $true) & (exuI1 = $true) & (nonemptyI1 = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (quantDeMorgan2 = $true) & (setminusERneg = $true) & (prop2setI = $true) & (setadjoinOr = $true) & (symdiffI2 = $true) & (complementSubsetComplementIntersect = $true) & (in__Cong = $true) & (uniqinunit = $true) & (cartprodfstpairEq = $true) & (iffalse = $true) & (upairsubunion = $true) & (singletonsubset = $true) & (quantDeMorgan3 = $true) & (omega0Ax = $true) & (powersetTI1 = $true) & (upairset2E = $true) & (complementTcontraSubset = $true) & (kpairiskpair = $true) & (iftrue = $true) & (replAx = $true) & (theprop = $true) & (binunionE = $true) & (sepSubset = $true) & (app = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (setminusI = $true) & (subbreln = $true) & (eqinunit = $true) & (singletonsuniq = $true) & (setadjoin__Cong = $true) & (setukpairIR = $true) & (setminusEL = $true) & (ex1E2 = $true) & (setadjoinIL = $true) & (dpsetconstrERa = $true) & (eta1 = $true) & (apProp = $true) & (setminusIRneg = $true) & (powersetsubset = $true) & (cartprodsndin = $true) & (binintersectTELcontra = $true) & (doubleComplementI1 = $true) & (ifSingleton = $true) & (singletonsswitch = $true) & (ap2apEq2 = $true) & (doubleComplementSub2 = $true) & (subsetemptysetimpeq = $true) & (ubforcartprodlem3 = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (binintersectSubset5 = $true) & (lamProp = $true) & (omega__Cong = $true) & (complementTI1 = $true) & (ifp = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (binunionIR = $true) & (ubforcartprodlem2 = $true) & (upairsetE = $true) & (binunionTILcontra = $true) & (infuncsetfunc = $true) & (setunionI = $true) & (binintersectI = $true) & (nonemptyI = $true) & (prop2setE = $true) & (emptyinPowerset = $true) & (powersetAx = $true) & (ksndsingleton = $true) & (funcGraphProp2 = $true) & (funcextLem = $true) & (subsetE2 = $true) & (lam2lamEq = $true) & (notdallE = $true) & (kfstsingleton = $true) & (upairequniteq = $true) & (funcGraphProp3 = $true) & (kpairp = $true) & (complementTnotintersectT = $true) & (setunion__Cong = $true) & (funcGraphProp1 = $true) & (subset2powerset = $true) & (binintersectER = $true) & (bs114d = $true) & (binintersectSubset2 = $true) & (cartprodmempair1 = $true) & (ap2apEq1 = $true) & (subsetTrans = $true) & (funcext2 = $true) & (setOfPairsIsBReln = $true) & (complementInPowersetComplementIntersect = $true) & (powersetTE1 = $true) & (binintersectTERcontra = $true) & (setminusER = $true) & (quantDeMorgan1 = $true) & (notdexE = $true) & (foundationAx = $true) & (omegaIndAx = $true) & (setextsub = $true) & (doubleComplementSub1 = $true) & (subsetI1 = $true) & (ex1I = $true) & (symdiffE = $true) & (exu__Cong = $true) & (emptysetE = $true) & (cartprodmempair = $true) & (contrasubsetT1 = $true) & (powersetI = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (setextT = $true) & (subsetRefl = $true) & (powersetE = $true) & (exuE2 = $true) & (funcImageSingleton = $true) & (cartprodpairin = $true) & (contraSubsetComplement = $true) & (setunionE2 = $true) & (dpsetconstrEL2 = $true) & (binunionLsub = $true) & (emptysetsubset = $true) & (iffalseProp2 = $true) & (emptyInPowerset = $true) & (quantDeMorgan4 = $true) & (powerset__Cong = $true) & (cartprodmempaircEq = $true) & (setminusSubset2 = $true) & (ksndpairEq = $true) & (upairsetIR = $true) & (setunionE = $true) & (eta2 = $true) & (setminusT_lem = $true) & (disjointsetsI1 = $true) & (cartprodsndpairEq = $true) & (iftrueProp2 = $true) & (binintersectT_lem = $true) & (setadjoinE = $true) & (eqbreln = $true) & (exuI2 = $true) & (subPowSU = $true) & (upairinpowunion = $true) & (notinemptyset = $true) & (dpsetconstrSub = $true) & (iffalseProp1 = $true) & (upairset2IR = $true)),
% 0.14/0.56 inference(flattening,[],[f1060])).
% 0.14/0.56 thf(f1060,plain,(
% 0.14/0.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : ((((in @ X4 @ (binunion @ X2 @ X3)) != $true) & ((in @ X4 @ (binintersect @ X1 @ X2)) = $true)) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ (powerset @ X0)) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true)) & ((in @ X1 @ (powerset @ X0)) = $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)),
% 0.14/0.56 inference(ennf_transformation,[],[f440])).
% 0.14/0.56 thf(f440,plain,(
% 0.14/0.56 ~((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) => ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ! [X3] : (((in @ X3 @ (powerset @ X0)) = $true) => ! [X4] : (((in @ X4 @ X0) = $true) => (((in @ X4 @ (binintersect @ X1 @ X2)) = $true) => ((in @ X4 @ (binunion @ X2 @ X3)) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.56 inference(fool_elimination,[],[f439])).
% 0.14/0.56 thf(f439,plain,(
% 0.14/0.56 ~(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 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ! [X3] : ((in @ X3 @ (powerset @ X0)) => ! [X4] : ((in @ X4 @ X0) => ((in @ X4 @ (binintersect @ X1 @ X2)) => (in @ X4 @ (binunion @ X2 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.56 inference(rectify,[],[f263])).
% 0.14/0.56 thf(f263,negated_conjecture,(
% 0.14/0.56 ~(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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X17] : ((in @ X17 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (binintersect @ X11 @ X16)) => (in @ X1 @ (binunion @ X16 @ X17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.56 inference(negated_conjecture,[],[f262])).
% 0.14/0.56 thf(f262,conjecture,(
% 0.14/0.56 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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X17] : ((in @ X17 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (binintersect @ X11 @ X16)) => (in @ X1 @ (binunion @ X16 @ X17)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inIntersectImpInUnion2)).
% 0.14/0.56 thf(f4043,plain,(
% 0.14/0.56 ((in @ sK146 @ sK144) != $true) | (binunionIL != $true)),
% 0.14/0.56 inference(trivial_inequality_removal,[],[f4032])).
% 0.14/0.56 thf(f4032,plain,(
% 0.14/0.56 (binunionIL != $true) | ($true != $true) | ((in @ sK146 @ sK144) != $true)),
% 0.14/0.56 inference(superposition,[],[f2811,f3413])).
% 0.14/0.56 thf(f3413,plain,(
% 0.14/0.56 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) = $true) | ((in @ X4 @ X5) != $true) | (binunionIL != $true)) )),
% 0.14/0.56 inference(cnf_transformation,[],[f2030])).
% 0.14/0.56 thf(f2030,plain,(
% 0.14/0.56 ((binunionIL = $true) | (((in @ sK590 @ sK591) = $true) & ((in @ sK590 @ (binunion @ sK591 @ sK589)) != $true))) & (! [X3,X4,X5] : (((in @ X4 @ X5) != $true) | ((in @ X4 @ (binunion @ X5 @ X3)) = $true)) | (binunionIL != $true))),
% 0.14/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK589,sK590,sK591])],[f2028,f2029])).
% 0.14/0.56 thf(f2029,plain,(
% 0.14/0.56 ? [X0,X1,X2] : (((in @ X1 @ X2) = $true) & ($true != (in @ X1 @ (binunion @ X2 @ X0)))) => (((in @ sK590 @ sK591) = $true) & ((in @ sK590 @ (binunion @ sK591 @ sK589)) != $true))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f2028,plain,(
% 0.14/0.56 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X1 @ X2) = $true) & ($true != (in @ X1 @ (binunion @ X2 @ X0))))) & (! [X3,X4,X5] : (((in @ X4 @ X5) != $true) | ((in @ X4 @ (binunion @ X5 @ X3)) = $true)) | (binunionIL != $true))),
% 0.14/0.56 inference(rectify,[],[f2027])).
% 0.14/0.56 thf(f2027,plain,(
% 0.14/0.56 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X1 @ X2) = $true) & ($true != (in @ X1 @ (binunion @ X2 @ X0))))) & (! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true = (in @ X1 @ (binunion @ X2 @ X0)))) | (binunionIL != $true))),
% 0.14/0.56 inference(nnf_transformation,[],[f1034])).
% 0.14/0.56 thf(f1034,plain,(
% 0.14/0.56 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true = (in @ X1 @ (binunion @ X2 @ X0))))),
% 0.14/0.56 inference(ennf_transformation,[],[f452])).
% 0.14/0.56 thf(f452,plain,(
% 0.14/0.56 ! [X0,X1,X2] : (((in @ X1 @ X2) = $true) => ($true = (in @ X1 @ (binunion @ X2 @ X0)))) <=> (binunionIL = $true)),
% 0.14/0.56 inference(fool_elimination,[],[f451])).
% 0.14/0.56 thf(f451,plain,(
% 0.14/0.56 (binunionIL = ! [X0,X1,X2] : ((in @ X1 @ X2) => (in @ X1 @ (binunion @ X2 @ X0))))),
% 0.14/0.56 inference(rectify,[],[f101])).
% 0.14/0.56 thf(f101,axiom,(
% 0.14/0.56 (binunionIL = ! [X4,X1,X3] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionIL)).
% 0.14/0.56 thf(f2811,plain,(
% 0.14/0.56 ((in @ sK146 @ (binunion @ sK144 @ sK145)) != $true)),
% 0.14/0.56 inference(cnf_transformation,[],[f1349])).
% 0.14/0.56 thf(f4137,plain,(
% 0.14/0.56 spl820_9),
% 0.14/0.56 inference(avatar_split_clause,[],[f4136,f4074])).
% 0.14/0.56 thf(f4136,plain,(
% 0.14/0.56 ((in @ sK146 @ sK144) = $true)),
% 0.14/0.56 inference(trivial_inequality_removal,[],[f4135])).
% 0.14/0.56 thf(f4135,plain,(
% 0.14/0.56 ($true != $true) | ((in @ sK146 @ sK144) = $true)),
% 0.14/0.56 inference(forward_demodulation,[],[f4086,f2630])).
% 0.14/0.56 thf(f2630,plain,(
% 0.14/0.56 (binintersectER = $true)),
% 0.14/0.56 inference(cnf_transformation,[],[f1349])).
% 0.14/0.56 thf(f4086,plain,(
% 0.14/0.56 ((in @ sK146 @ sK144) = $true) | (binintersectER != $true)),
% 0.14/0.56 inference(trivial_inequality_removal,[],[f4080])).
% 0.14/0.56 thf(f4080,plain,(
% 0.14/0.56 ($true != $true) | ((in @ sK146 @ sK144) = $true) | (binintersectER != $true)),
% 0.14/0.56 inference(superposition,[],[f2540,f2812])).
% 0.14/0.56 thf(f2812,plain,(
% 0.14/0.56 ((in @ sK146 @ (binintersect @ sK143 @ sK144)) = $true)),
% 0.14/0.56 inference(cnf_transformation,[],[f1349])).
% 0.14/0.56 thf(f2540,plain,(
% 0.14/0.56 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | (binintersectER != $true) | ((in @ X5 @ X3) = $true)) )),
% 0.14/0.56 inference(cnf_transformation,[],[f1316])).
% 0.14/0.56 thf(f1316,plain,(
% 0.14/0.56 ((binintersectER = $true) | (((in @ sK121 @ (binintersect @ sK120 @ sK119)) = $true) & ((in @ sK121 @ sK119) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | ((in @ X5 @ X3) = $true)) | (binintersectER != $true))),
% 0.14/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK119,sK120,sK121])],[f1314,f1315])).
% 0.14/0.56 thf(f1315,plain,(
% 0.14/0.56 ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) => (((in @ sK121 @ (binintersect @ sK120 @ sK119)) = $true) & ((in @ sK121 @ sK119) != $true))),
% 0.14/0.56 introduced(choice_axiom,[])).
% 0.14/0.56 thf(f1314,plain,(
% 0.14/0.56 ((binintersectER = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | ((in @ X5 @ X3) = $true)) | (binintersectER != $true))),
% 0.14/0.56 inference(rectify,[],[f1313])).
% 0.14/0.56 thf(f1313,plain,(
% 0.14/0.56 ((binintersectER = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) != $true) | ((in @ X2 @ X0) = $true)) | (binintersectER != $true))),
% 0.14/0.56 inference(nnf_transformation,[],[f843])).
% 0.14/0.56 thf(f843,plain,(
% 0.14/0.56 (binintersectER = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) != $true) | ((in @ X2 @ X0) = $true))),
% 0.14/0.56 inference(ennf_transformation,[],[f506])).
% 0.14/0.56 thf(f506,plain,(
% 0.14/0.56 (binintersectER = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) => ((in @ X2 @ X0) = $true))),
% 0.14/0.56 inference(fool_elimination,[],[f505])).
% 0.14/0.56 thf(f505,plain,(
% 0.14/0.56 (! [X0,X1,X2] : ((in @ X2 @ (binintersect @ X1 @ X0)) => (in @ X2 @ X0)) = binintersectER)),
% 0.14/0.56 inference(rectify,[],[f114])).
% 0.14/0.56 thf(f114,axiom,(
% 0.14/0.56 (! [X4,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4)) = binintersectER)),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectER)).
% 0.14/0.56 % SZS output end Proof for theBenchmark
% 0.14/0.56 % (30517)------------------------------
% 0.14/0.56 % (30517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.56 % (30517)Termination reason: Refutation
% 0.14/0.56
% 0.14/0.56 % (30517)Memory used [KB]: 10106
% 0.14/0.56 % (30517)Time elapsed: 0.166 s
% 0.14/0.56 % (30517)Instructions burned: 324 (million)
% 0.14/0.56 % (30517)------------------------------
% 0.14/0.56 % (30517)------------------------------
% 0.14/0.56 % (30494)Success in time 0.241 s
% 0.14/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------