TSTP Solution File: SEU716^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU716^1 : 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 : n029.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 03:50:59 EDT 2024
% Result : Theorem 2.08s 0.68s
% Output : Refutation 2.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU716^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 18:16:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 % (22306)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (22304)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (22301)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (22300)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (22307)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (22305)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.40 % (22304)Instruction limit reached!
% 0.15/0.40 % (22304)------------------------------
% 0.15/0.40 % (22304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22304)Termination reason: Unknown
% 0.15/0.40 % (22304)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22304)Memory used [KB]: 1407
% 0.15/0.40 % (22304)Time elapsed: 0.004 s
% 0.15/0.40 % (22304)Instructions burned: 3 (million)
% 0.15/0.40 % (22304)------------------------------
% 0.15/0.40 % (22304)------------------------------
% 0.15/0.40 % (22307)Instruction limit reached!
% 0.15/0.40 % (22307)------------------------------
% 0.15/0.40 % (22307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22307)Termination reason: Unknown
% 0.15/0.40 % (22301)Instruction limit reached!
% 0.15/0.40 % (22301)------------------------------
% 0.15/0.40 % (22301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22307)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22307)Memory used [KB]: 1407
% 0.15/0.40 % (22307)Time elapsed: 0.004 s
% 0.15/0.40 % (22307)Instructions burned: 3 (million)
% 0.15/0.40 % (22307)------------------------------
% 0.15/0.40 % (22307)------------------------------
% 0.15/0.40 % (22301)Termination reason: Unknown
% 0.15/0.40 % (22301)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22301)Memory used [KB]: 1407
% 0.15/0.40 % (22301)Time elapsed: 0.005 s
% 0.15/0.40 % (22301)Instructions burned: 5 (million)
% 0.15/0.40 % (22301)------------------------------
% 0.15/0.40 % (22301)------------------------------
% 0.15/0.40 % (22302)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.40 % (22303)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (22303)Instruction limit reached!
% 0.15/0.40 % (22303)------------------------------
% 0.15/0.40 % (22303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22303)Termination reason: Unknown
% 0.15/0.40 % (22303)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22303)Memory used [KB]: 1407
% 0.15/0.40 % (22303)Time elapsed: 0.003 s
% 0.15/0.40 % (22303)Instructions burned: 2 (million)
% 0.15/0.40 % (22303)------------------------------
% 0.15/0.40 % (22303)------------------------------
% 0.15/0.41 % (22306)Instruction limit reached!
% 0.15/0.41 % (22306)------------------------------
% 0.15/0.41 % (22306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (22306)Termination reason: Unknown
% 0.15/0.41 % (22306)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (22306)Memory used [KB]: 1791
% 0.15/0.41 % (22306)Time elapsed: 0.014 s
% 0.15/0.41 % (22306)Instructions burned: 18 (million)
% 0.15/0.41 % (22306)------------------------------
% 0.15/0.41 % (22306)------------------------------
% 0.22/0.41 % (22310)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (22309)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.41 % (22308)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.41 % (22310)Instruction limit reached!
% 0.22/0.41 % (22310)------------------------------
% 0.22/0.41 % (22310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22310)Termination reason: Unknown
% 0.22/0.41 % (22310)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22310)Memory used [KB]: 1407
% 0.22/0.41 % (22310)Time elapsed: 0.003 s
% 0.22/0.41 % (22310)Instructions burned: 3 (million)
% 0.22/0.41 % (22310)------------------------------
% 0.22/0.41 % (22310)------------------------------
% 0.22/0.41 % (22302)Instruction limit reached!
% 0.22/0.41 % (22302)------------------------------
% 0.22/0.41 % (22302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22302)Termination reason: Unknown
% 0.22/0.41 % (22302)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (22302)Memory used [KB]: 1918
% 0.22/0.41 % (22302)Time elapsed: 0.017 s
% 0.22/0.41 % (22302)Instructions burned: 28 (million)
% 0.22/0.41 % (22302)------------------------------
% 0.22/0.41 % (22302)------------------------------
% 0.22/0.42 % (22311)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42 % (22312)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (22309)Instruction limit reached!
% 0.22/0.42 % (22309)------------------------------
% 0.22/0.42 % (22309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22309)Termination reason: Unknown
% 0.22/0.42 % (22309)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22309)Memory used [KB]: 1663
% 0.22/0.42 % (22309)Time elapsed: 0.012 s
% 0.22/0.42 % (22309)Instructions burned: 16 (million)
% 0.22/0.42 % (22309)------------------------------
% 0.22/0.42 % (22309)------------------------------
% 0.22/0.42 % (22312)Instruction limit reached!
% 0.22/0.42 % (22312)------------------------------
% 0.22/0.42 % (22312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22312)Termination reason: Unknown
% 0.22/0.42 % (22312)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22312)Memory used [KB]: 1535
% 0.22/0.42 % (22312)Time elapsed: 0.006 s
% 0.22/0.42 % (22312)Instructions burned: 7 (million)
% 0.22/0.42 % (22312)------------------------------
% 0.22/0.42 % (22312)------------------------------
% 0.22/0.43 % (22314)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (22315)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (22308)Instruction limit reached!
% 0.22/0.43 % (22308)------------------------------
% 0.22/0.43 % (22308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22315)Instruction limit reached!
% 0.22/0.43 % (22315)------------------------------
% 0.22/0.43 % (22315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22315)Termination reason: Unknown
% 0.22/0.43 % (22315)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22315)Memory used [KB]: 1407
% 0.22/0.43 % (22315)Time elapsed: 0.004 s
% 0.22/0.43 % (22315)Instructions burned: 3 (million)
% 0.22/0.43 % (22315)------------------------------
% 0.22/0.43 % (22315)------------------------------
% 0.22/0.43 % (22308)Termination reason: Unknown
% 0.22/0.43 % (22308)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22308)Memory used [KB]: 2174
% 0.22/0.43 % (22308)Time elapsed: 0.021 s
% 0.22/0.43 % (22308)Instructions burned: 37 (million)
% 0.22/0.43 % (22308)------------------------------
% 0.22/0.43 % (22308)------------------------------
% 0.22/0.44 % (22314)Instruction limit reached!
% 0.22/0.44 % (22314)------------------------------
% 0.22/0.44 % (22314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22314)Termination reason: Unknown
% 0.22/0.44 % (22314)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22314)Memory used [KB]: 1791
% 0.22/0.44 % (22314)Time elapsed: 0.010 s
% 0.22/0.44 % (22314)Instructions burned: 17 (million)
% 0.22/0.44 % (22314)------------------------------
% 0.22/0.44 % (22314)------------------------------
% 0.22/0.44 % (22316)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (22316)Instruction limit reached!
% 0.22/0.44 % (22316)------------------------------
% 0.22/0.44 % (22316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22316)Termination reason: Unknown
% 0.22/0.44 % (22316)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22316)Memory used [KB]: 1407
% 0.22/0.44 % (22316)Time elapsed: 0.003 s
% 0.22/0.44 % (22316)Instructions burned: 3 (million)
% 0.22/0.44 % (22316)------------------------------
% 0.22/0.44 % (22316)------------------------------
% 0.22/0.44 % (22317)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (22317)Instruction limit reached!
% 0.22/0.44 % (22317)------------------------------
% 0.22/0.44 % (22317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22317)Termination reason: Unknown
% 0.22/0.44 % (22317)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22317)Memory used [KB]: 1535
% 0.22/0.44 % (22317)Time elapsed: 0.006 s
% 0.22/0.44 % (22317)Instructions burned: 7 (million)
% 0.22/0.44 % (22317)------------------------------
% 0.22/0.44 % (22317)------------------------------
% 0.22/0.45 % (22318)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (22319)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (22318)Instruction limit reached!
% 0.22/0.45 % (22318)------------------------------
% 0.22/0.45 % (22318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22318)Termination reason: Unknown
% 0.22/0.45 % (22318)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22318)Memory used [KB]: 1407
% 0.22/0.45 % (22318)Time elapsed: 0.004 s
% 0.22/0.45 % (22318)Instructions burned: 3 (million)
% 0.22/0.45 % (22318)------------------------------
% 0.22/0.45 % (22318)------------------------------
% 0.22/0.45 % (22319)Instruction limit reached!
% 0.22/0.45 % (22319)------------------------------
% 0.22/0.45 % (22319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22319)Termination reason: Unknown
% 0.22/0.45 % (22319)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22319)Memory used [KB]: 1407
% 0.22/0.45 % (22319)Time elapsed: 0.005 s
% 0.22/0.45 % (22319)Instructions burned: 5 (million)
% 0.22/0.45 % (22319)------------------------------
% 0.22/0.45 % (22319)------------------------------
% 0.22/0.45 % (22320)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (22321)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (22320)Instruction limit reached!
% 0.22/0.46 % (22320)------------------------------
% 0.22/0.46 % (22320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22320)Termination reason: Unknown
% 0.22/0.46 % (22320)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22320)Memory used [KB]: 1791
% 0.22/0.46 % (22320)Time elapsed: 0.010 s
% 0.22/0.46 % (22320)Instructions burned: 18 (million)
% 0.22/0.46 % (22320)------------------------------
% 0.22/0.46 % (22320)------------------------------
% 0.22/0.46 % (22322)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (22322)Instruction limit reached!
% 0.22/0.46 % (22322)------------------------------
% 0.22/0.46 % (22322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22322)Termination reason: Unknown
% 0.22/0.46 % (22322)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22322)Memory used [KB]: 1535
% 0.22/0.46 % (22322)Time elapsed: 0.006 s
% 0.22/0.46 % (22322)Instructions burned: 7 (million)
% 0.22/0.46 % (22322)------------------------------
% 0.22/0.46 % (22322)------------------------------
% 0.22/0.46 % (22323)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)
% 0.22/0.46 % (22324)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)
% 0.22/0.47 % (22325)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (22325)Instruction limit reached!
% 0.22/0.47 % (22325)------------------------------
% 0.22/0.47 % (22325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (22325)Termination reason: Unknown
% 0.22/0.47 % (22325)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (22325)Memory used [KB]: 1535
% 0.22/0.47 % (22325)Time elapsed: 0.003 s
% 0.22/0.47 % (22325)Instructions burned: 6 (million)
% 0.22/0.47 % (22325)------------------------------
% 0.22/0.47 % (22325)------------------------------
% 0.22/0.47 % (22324)Instruction limit reached!
% 0.22/0.47 % (22324)------------------------------
% 0.22/0.47 % (22324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (22324)Termination reason: Unknown
% 0.22/0.47 % (22324)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (22324)Memory used [KB]: 1791
% 0.22/0.47 % (22324)Time elapsed: 0.013 s
% 0.22/0.47 % (22324)Instructions burned: 21 (million)
% 0.22/0.47 % (22324)------------------------------
% 0.22/0.47 % (22324)------------------------------
% 0.22/0.47 % (22326)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.48 % (22327)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.48 % (22326)Instruction limit reached!
% 0.22/0.48 % (22326)------------------------------
% 0.22/0.48 % (22326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (22326)Termination reason: Unknown
% 0.22/0.48 % (22326)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (22326)Memory used [KB]: 1535
% 0.22/0.48 % (22326)Time elapsed: 0.005 s
% 0.22/0.48 % (22326)Instructions burned: 8 (million)
% 0.22/0.48 % (22326)------------------------------
% 0.22/0.48 % (22326)------------------------------
% 0.22/0.48 % (22300)Instruction limit reached!
% 0.22/0.48 % (22300)------------------------------
% 0.22/0.48 % (22300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (22300)Termination reason: Unknown
% 0.22/0.48 % (22300)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (22300)Memory used [KB]: 7547
% 0.22/0.48 % (22300)Time elapsed: 0.091 s
% 0.22/0.48 % (22300)Instructions burned: 183 (million)
% 0.22/0.48 % (22300)------------------------------
% 0.22/0.48 % (22300)------------------------------
% 0.22/0.49 % (22329)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.49 % (22328)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.49 % (22329)Instruction limit reached!
% 0.22/0.49 % (22329)------------------------------
% 0.22/0.49 % (22329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22329)Termination reason: Unknown
% 0.22/0.49 % (22329)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (22329)Memory used [KB]: 1791
% 0.22/0.49 % (22329)Time elapsed: 0.007 s
% 0.22/0.49 % (22329)Instructions burned: 21 (million)
% 0.22/0.49 % (22329)------------------------------
% 0.22/0.49 % (22329)------------------------------
% 0.22/0.50 % (22330)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50 % (22331)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (22331)Instruction limit reached!
% 0.22/0.51 % (22331)------------------------------
% 0.22/0.51 % (22331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (22331)Termination reason: Unknown
% 0.22/0.51 % (22331)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (22331)Memory used [KB]: 1791
% 0.22/0.51 % (22331)Time elapsed: 0.007 s
% 0.22/0.51 % (22331)Instructions burned: 19 (million)
% 0.22/0.51 % (22331)------------------------------
% 0.22/0.51 % (22331)------------------------------
% 0.22/0.52 % (22332)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52 % (22332)Instruction limit reached!
% 0.22/0.52 % (22332)------------------------------
% 0.22/0.52 % (22332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (22332)Termination reason: Unknown
% 0.22/0.52 % (22332)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (22332)Memory used [KB]: 1407
% 0.22/0.52 % (22332)Time elapsed: 0.003 s
% 0.22/0.52 % (22332)Instructions burned: 4 (million)
% 0.22/0.52 % (22332)------------------------------
% 0.22/0.52 % (22332)------------------------------
% 0.22/0.52 % (22305)Instruction limit reached!
% 0.22/0.52 % (22305)------------------------------
% 0.22/0.52 % (22305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (22305)Termination reason: Unknown
% 0.22/0.52 % (22305)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (22305)Memory used [KB]: 9338
% 0.22/0.52 % (22305)Time elapsed: 0.130 s
% 0.22/0.52 % (22305)Instructions burned: 276 (million)
% 0.22/0.52 % (22305)------------------------------
% 0.22/0.52 % (22305)------------------------------
% 0.22/0.53 % (22333)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.53 % (22334)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)
% 0.22/0.54 % (22333)Instruction limit reached!
% 0.22/0.54 % (22333)------------------------------
% 0.22/0.54 % (22333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (22333)Termination reason: Unknown
% 0.22/0.54 % (22333)Termination phase: shuffling
% 0.22/0.54
% 0.22/0.54 % (22333)Memory used [KB]: 2046
% 0.22/0.54 % (22333)Time elapsed: 0.011 s
% 0.22/0.54 % (22333)Instructions burned: 33 (million)
% 0.22/0.54 % (22333)------------------------------
% 0.22/0.54 % (22333)------------------------------
% 0.22/0.55 % (22335)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)
% 0.22/0.57 % (22334)Instruction limit reached!
% 0.22/0.57 % (22334)------------------------------
% 0.22/0.57 % (22334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (22334)Termination reason: Unknown
% 0.22/0.57 % (22334)Termination phase: Property scanning
% 0.22/0.57
% 0.22/0.57 % (22334)Memory used [KB]: 2558
% 0.22/0.57 % (22334)Time elapsed: 0.036 s
% 0.22/0.57 % (22334)Instructions burned: 129 (million)
% 0.22/0.57 % (22334)------------------------------
% 0.22/0.57 % (22334)------------------------------
% 0.22/0.57 % (22335)Instruction limit reached!
% 0.22/0.57 % (22335)------------------------------
% 0.22/0.57 % (22335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (22335)Termination reason: Unknown
% 0.22/0.57 % (22335)Termination phase: Property scanning
% 0.22/0.57
% 0.22/0.57 % (22335)Memory used [KB]: 2430
% 0.22/0.57 % (22335)Time elapsed: 0.029 s
% 0.22/0.57 % (22335)Instructions burned: 101 (million)
% 0.22/0.57 % (22335)------------------------------
% 0.22/0.57 % (22335)------------------------------
% 0.22/0.57 % (22336)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 (2998ds/3Mi)
% 0.22/0.58 % (22336)Instruction limit reached!
% 0.22/0.58 % (22336)------------------------------
% 0.22/0.58 % (22336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (22336)Termination reason: Unknown
% 0.22/0.58 % (22336)Termination phase: shuffling
% 0.22/0.58
% 0.22/0.58 % (22336)Memory used [KB]: 1407
% 0.22/0.58 % (22336)Time elapsed: 0.003 s
% 0.22/0.58 % (22336)Instructions burned: 5 (million)
% 0.22/0.58 % (22336)------------------------------
% 0.22/0.58 % (22336)------------------------------
% 0.22/0.58 % (22327)Instruction limit reached!
% 0.22/0.58 % (22327)------------------------------
% 0.22/0.58 % (22327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (22327)Termination reason: Unknown
% 0.22/0.58 % (22327)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (22327)Memory used [KB]: 8827
% 0.22/0.58 % (22327)Time elapsed: 0.107 s
% 0.22/0.58 % (22327)Instructions burned: 379 (million)
% 0.22/0.58 % (22327)------------------------------
% 0.22/0.58 % (22327)------------------------------
% 0.22/0.58 % (22337)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)
% 0.22/0.58 % (22338)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)
% 0.22/0.59 % (22337)Instruction limit reached!
% 0.22/0.59 % (22337)------------------------------
% 0.22/0.59 % (22337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.59 % (22337)Termination reason: Unknown
% 0.22/0.59 % (22337)Termination phase: shuffling
% 0.22/0.59
% 0.22/0.59 % (22337)Memory used [KB]: 1791
% 0.22/0.59 % (22337)Time elapsed: 0.009 s
% 0.22/0.59 % (22337)Instructions burned: 21 (million)
% 0.22/0.59 % (22337)------------------------------
% 0.22/0.59 % (22337)------------------------------
% 0.22/0.59 % (22339)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.85/0.60 % (22340)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.85/0.61 % (22338)Instruction limit reached!
% 1.85/0.61 % (22338)------------------------------
% 1.85/0.61 % (22338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.85/0.61 % (22338)Termination reason: Unknown
% 1.85/0.61 % (22338)Termination phase: Property scanning
% 1.85/0.61
% 1.85/0.61 % (22338)Memory used [KB]: 2430
% 1.85/0.61 % (22338)Time elapsed: 0.025 s
% 1.85/0.61 % (22338)Instructions burned: 87 (million)
% 1.85/0.61 % (22338)------------------------------
% 1.85/0.61 % (22338)------------------------------
% 1.85/0.61 % (22340)Instruction limit reached!
% 1.85/0.61 % (22340)------------------------------
% 1.85/0.61 % (22340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.85/0.61 % (22340)Termination reason: Unknown
% 1.85/0.61 % (22340)Termination phase: shuffling
% 1.85/0.61
% 1.85/0.61 % (22340)Memory used [KB]: 2174
% 1.85/0.61 % (22340)Time elapsed: 0.013 s
% 1.85/0.61 % (22340)Instructions burned: 40 (million)
% 1.85/0.61 % (22340)------------------------------
% 1.85/0.61 % (22340)------------------------------
% 2.01/0.62 % (22341)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 (2997ds/448Mi)
% 2.01/0.62 % (22339)Instruction limit reached!
% 2.01/0.62 % (22339)------------------------------
% 2.01/0.62 % (22339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.01/0.62 % (22339)Termination reason: Unknown
% 2.01/0.62 % (22339)Termination phase: Function definition elimination
% 2.01/0.62
% 2.01/0.62 % (22339)Memory used [KB]: 2430
% 2.01/0.62 % (22339)Time elapsed: 0.029 s
% 2.01/0.62 % (22339)Instructions burned: 110 (million)
% 2.01/0.62 % (22339)------------------------------
% 2.01/0.62 % (22339)------------------------------
% 2.01/0.62 % (22342)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 (2997ds/46Mi)
% 2.08/0.63 % (22343)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 (2997ds/98Mi)
% 2.08/0.63 % (22342)Instruction limit reached!
% 2.08/0.63 % (22342)------------------------------
% 2.08/0.63 % (22342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.63 % (22342)Termination reason: Unknown
% 2.08/0.63 % (22342)Termination phase: Property scanning
% 2.08/0.63
% 2.08/0.63 % (22342)Memory used [KB]: 2302
% 2.08/0.63 % (22342)Time elapsed: 0.015 s
% 2.08/0.63 % (22342)Instructions burned: 48 (million)
% 2.08/0.63 % (22342)------------------------------
% 2.08/0.63 % (22342)------------------------------
% 2.08/0.64 % (22344)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 (2997ds/507Mi)
% 2.08/0.65 % (22343)Instruction limit reached!
% 2.08/0.65 % (22343)------------------------------
% 2.08/0.65 % (22343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.65 % (22343)Termination reason: Unknown
% 2.08/0.65 % (22343)Termination phase: Function definition elimination
% 2.08/0.65
% 2.08/0.65 % (22343)Memory used [KB]: 2430
% 2.08/0.65 % (22343)Time elapsed: 0.026 s
% 2.08/0.65 % (22343)Instructions burned: 101 (million)
% 2.08/0.65 % (22343)------------------------------
% 2.08/0.65 % (22343)------------------------------
% 2.08/0.66 % (22345)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 (2997ds/149Mi)
% 2.08/0.67 % (22323)First to succeed.
% 2.08/0.68 % (22323)Refutation found. Thanks to Tanya!
% 2.08/0.68 % SZS status Theorem for theBenchmark
% 2.08/0.68 % SZS output start Proof for theBenchmark
% 2.08/0.68 thf(func_def_0, type, in: $i > $i > $o).
% 2.08/0.68 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.08/0.68 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.08/0.68 thf(func_def_8, type, powerset: $i > $i).
% 2.08/0.68 thf(func_def_10, type, setunion: $i > $i).
% 2.08/0.68 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_26, type, prop2set: $o > $i).
% 2.08/0.68 thf(func_def_36, type, nonempty: $i > $o).
% 2.08/0.68 thf(func_def_69, type, set2prop: $i > $o).
% 2.08/0.68 thf(func_def_88, type, subset: $i > $i > $o).
% 2.08/0.68 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.08/0.68 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.08/0.68 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.08/0.68 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.08/0.68 thf(func_def_135, type, regular: $i > $o).
% 2.08/0.68 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.08/0.68 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.08/0.68 thf(func_def_153, type, iskpair: $i > $o).
% 2.08/0.68 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.08/0.68 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.08/0.68 thf(func_def_177, type, singleton: $i > $o).
% 2.08/0.68 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.08/0.68 thf(func_def_184, type, atmost1p: $i > $o).
% 2.08/0.68 thf(func_def_185, type, atleast2p: $i > $o).
% 2.08/0.68 thf(func_def_186, type, atmost2p: $i > $o).
% 2.08/0.68 thf(func_def_187, type, upairsetp: $i > $o).
% 2.08/0.68 thf(func_def_191, type, kfst: $i > $i).
% 2.08/0.68 thf(func_def_203, type, ksnd: $i > $i).
% 2.08/0.68 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.08/0.68 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.08/0.68 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.08/0.68 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.08/0.68 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.08/0.68 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.08/0.68 thf(func_def_285, type, sP1: $i > $i > $o).
% 2.08/0.68 thf(func_def_286, type, sP2: $i > $o).
% 2.08/0.68 thf(func_def_287, type, sP3: $i > $i > $o).
% 2.08/0.68 thf(func_def_288, type, sP4: $i > $i > $o).
% 2.08/0.68 thf(func_def_289, type, sP5: $i > $o > $i > $i > $o).
% 2.08/0.68 thf(func_def_291, type, sP7: $i > $i > $i > $o).
% 2.08/0.68 thf(func_def_294, type, sP10: $i > $i > $i > $i > $o).
% 2.08/0.68 thf(func_def_299, type, sK15: $i > $i > $i).
% 2.08/0.68 thf(func_def_300, type, sK16: $i > $i > $i).
% 2.08/0.68 thf(func_def_335, type, sK51: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_336, type, sK52: $i > $o).
% 2.08/0.68 thf(func_def_337, type, sK53: $i > $i).
% 2.08/0.68 thf(func_def_344, type, sK60: $i > $o).
% 2.08/0.68 thf(func_def_354, type, sK70: $i > $i).
% 2.08/0.68 thf(func_def_355, type, sK71: ($i > $i) > $i > $i > $i).
% 2.08/0.68 thf(func_def_359, type, sK75: $i > $o).
% 2.08/0.68 thf(func_def_365, type, sK81: $i > $i > $i).
% 2.08/0.68 thf(func_def_374, type, sK90: $i > $i).
% 2.08/0.68 thf(func_def_377, type, sK93: $i > $i > ($i > $i) > $i).
% 2.08/0.68 thf(func_def_378, type, sK94: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_380, type, sK96: $i > $o).
% 2.08/0.68 thf(func_def_391, type, sK107: $i > $o).
% 2.08/0.68 thf(func_def_395, type, sK111: $i > $i).
% 2.08/0.68 thf(func_def_397, type, sK113: $i > ($i > $i) > $i > $i).
% 2.08/0.68 thf(func_def_410, type, sK126: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.08/0.68 thf(func_def_411, type, sK127: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.08/0.68 thf(func_def_414, type, sK130: $i > $o).
% 2.08/0.68 thf(func_def_415, type, sK131: $i > $o).
% 2.08/0.68 thf(func_def_426, type, sK142: $i > $i).
% 2.08/0.68 thf(func_def_428, type, sK144: ($i > $i) > $i > $i > $i).
% 2.08/0.68 thf(func_def_435, type, sK151: $i > $i > $i).
% 2.08/0.68 thf(func_def_437, type, sK153: $i > $i > $o).
% 2.08/0.68 thf(func_def_444, type, sK160: $i > ($i > $i) > $i > $i).
% 2.08/0.68 thf(func_def_446, type, sK162: $i > $i).
% 2.08/0.68 thf(func_def_449, type, sK165: $i > $o).
% 2.08/0.68 thf(func_def_451, type, sK167: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_457, type, sK173: $i > $i > $i).
% 2.08/0.68 thf(func_def_458, type, sK174: $i > $o).
% 2.08/0.68 thf(func_def_475, type, sK191: $i > $o).
% 2.08/0.68 thf(func_def_476, type, sK192: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_482, type, sK198: $i > $o).
% 2.08/0.68 thf(func_def_484, type, sK200: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_485, type, sK201: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_501, type, sK217: $i > $o).
% 2.08/0.68 thf(func_def_509, type, sK225: $i > $i > $o).
% 2.08/0.68 thf(func_def_522, type, sK238: $i > ($i > $i) > $i > $i).
% 2.08/0.68 thf(func_def_524, type, sK240: $i > $i).
% 2.08/0.68 thf(func_def_537, type, sK253: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_538, type, sK254: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_541, type, sK257: $i > $o).
% 2.08/0.68 thf(func_def_542, type, sK258: $i > $o).
% 2.08/0.68 thf(func_def_543, type, sK259: ($i > $o) > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_544, type, sK260: ($i > $o) > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_545, type, sK261: $i > $i).
% 2.08/0.68 thf(func_def_548, type, sK264: $i > $i).
% 2.08/0.68 thf(func_def_553, type, sK269: ($i > $o) > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_554, type, sK270: ($i > $o) > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_555, type, sK271: $i > $o).
% 2.08/0.68 thf(func_def_556, type, sK272: $i > $o).
% 2.08/0.68 thf(func_def_557, type, sK273: $i > $i).
% 2.08/0.68 thf(func_def_575, type, sK291: $i > $o).
% 2.08/0.68 thf(func_def_578, type, sK294: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_586, type, sK302: $i > $i > $i).
% 2.08/0.68 thf(func_def_599, type, sK315: $i > $o).
% 2.08/0.68 thf(func_def_601, type, sK317: ($i > $o) > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_602, type, sK318: ($i > $o) > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_637, type, sK353: $i > $i > $o).
% 2.08/0.68 thf(func_def_648, type, sK364: $i > $i > $o).
% 2.08/0.68 thf(func_def_649, type, sK365: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_655, type, sK371: $i > $i > $i).
% 2.08/0.68 thf(func_def_656, type, sK372: $i > $i > $i).
% 2.08/0.68 thf(func_def_657, type, sK373: $i > $i > $i).
% 2.08/0.68 thf(func_def_658, type, sK374: $i > $i > $i).
% 2.08/0.68 thf(func_def_659, type, sK375: $i > $i > $i).
% 2.08/0.68 thf(func_def_660, type, sK376: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_661, type, sK377: $i > $i).
% 2.08/0.68 thf(func_def_662, type, sK378: $i > $i).
% 2.08/0.68 thf(func_def_663, type, sK379: $i > $i).
% 2.08/0.68 thf(func_def_664, type, sK380: $i > $i).
% 2.08/0.68 thf(func_def_665, type, sK381: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_666, type, sK382: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_667, type, sK383: $i > $i > $i).
% 2.08/0.68 thf(func_def_668, type, sK384: $i > $i > $i).
% 2.08/0.68 thf(func_def_669, type, sK385: $i > $i > $i).
% 2.08/0.68 thf(func_def_671, type, sK387: $i > $i).
% 2.08/0.68 thf(func_def_672, type, sK388: $i > $i).
% 2.08/0.68 thf(func_def_673, type, sK389: $i > $i).
% 2.08/0.68 thf(func_def_676, type, sK392: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_677, type, sK393: $i > $o).
% 2.08/0.68 thf(func_def_680, type, sK396: $i > $i > $i).
% 2.08/0.68 thf(func_def_687, type, sK403: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_697, type, sK413: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_698, type, sK414: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_711, type, sK427: $i > $i > $o).
% 2.08/0.68 thf(func_def_715, type, sK431: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_716, type, sK432: $i > $o).
% 2.08/0.68 thf(func_def_736, type, sK452: $i > $o).
% 2.08/0.68 thf(func_def_746, type, sK462: $i > $o).
% 2.08/0.68 thf(func_def_748, type, sK464: ($i > $o) > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_749, type, sK465: ($i > $o) > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_754, type, sK470: $i > $o).
% 2.08/0.68 thf(func_def_759, type, sK475: $i > $i > $i).
% 2.08/0.68 thf(func_def_781, type, sK497: $i > $o).
% 2.08/0.68 thf(func_def_786, type, sK502: $i > $o).
% 2.08/0.68 thf(func_def_788, type, sK504: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_804, type, sK520: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_806, type, sK522: $i > $o).
% 2.08/0.68 thf(func_def_831, type, sK547: $i > $i > $o).
% 2.08/0.68 thf(func_def_847, type, sK563: $i > $i > $o).
% 2.08/0.68 thf(func_def_848, type, sK564: $i > $i).
% 2.08/0.68 thf(func_def_849, type, sK565: $i > $i).
% 2.08/0.68 thf(func_def_850, type, sK566: ($i > $i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_851, type, sK567: ($i > $i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_852, type, sK568: $i > ($i > $i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_859, type, sK575: $i > $i > $i).
% 2.08/0.68 thf(func_def_860, type, sK576: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_861, type, sK577: $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_867, type, sK583: $i > $o).
% 2.08/0.68 thf(func_def_877, type, sK593: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_882, type, sK598: $i > $i).
% 2.08/0.68 thf(func_def_885, type, sK601: $i > $i).
% 2.08/0.68 thf(func_def_890, type, sK606: $i > $o).
% 2.08/0.68 thf(func_def_893, type, sK609: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_894, type, sK610: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_915, type, sK631: $i > $i > $i).
% 2.08/0.68 thf(func_def_921, type, sK637: $i > $i).
% 2.08/0.68 thf(func_def_924, type, sK640: $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_925, type, sK641: $i > $o).
% 2.08/0.68 thf(func_def_936, type, sK652: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_937, type, sK653: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_938, type, sK654: $i > $o).
% 2.08/0.68 thf(func_def_942, type, sK658: $i > $i).
% 2.08/0.68 thf(func_def_954, type, sK670: $o > $i > $i > $i).
% 2.08/0.68 thf(func_def_955, type, sK671: $i > $o).
% 2.08/0.68 thf(func_def_959, type, sK675: $i > $o).
% 2.08/0.68 thf(func_def_961, type, sK677: $i > $o).
% 2.08/0.68 thf(func_def_964, type, sK680: $i > $o).
% 2.08/0.68 thf(func_def_966, type, sK682: ($i > $o) > $i > $i).
% 2.08/0.68 thf(func_def_967, type, sK683: $i > $o).
% 2.08/0.68 thf(func_def_968, type, sK684: $i > $i).
% 2.08/0.68 thf(func_def_969, type, sK685: ($i > $o) > $i).
% 2.08/0.68 thf(func_def_976, type, sK692: $i > $i > ($i > $o) > $i).
% 2.08/0.68 thf(func_def_977, type, sK693: $i > $o).
% 2.08/0.68 thf(func_def_989, type, sK705: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_990, type, sK706: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_991, type, sK707: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_992, type, sK708: $i > $i > $i > $i > $i).
% 2.08/0.68 thf(func_def_993, type, sK709: $i > $o).
% 2.08/0.68 thf(func_def_1007, type, sK723: $i > $i > $o).
% 2.08/0.68 thf(func_def_1017, type, ph733: !>[X0: $tType]:(X0)).
% 2.08/0.68 thf(f6574,plain,(
% 2.08/0.68 $false),
% 2.08/0.68 inference(avatar_sat_refutation,[],[f6262,f6567])).
% 2.08/0.68 thf(f6567,plain,(
% 2.08/0.68 spl732_75),
% 2.08/0.68 inference(avatar_split_clause,[],[f6566,f4713])).
% 2.08/0.68 thf(f4713,plain,(
% 2.08/0.68 spl732_75 <=> ((subset @ sK23 @ sK24) = $true)),
% 2.08/0.68 introduced(avatar_definition,[new_symbols(naming,[spl732_75])])).
% 2.08/0.68 thf(f6566,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) = $true)),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f6565])).
% 2.08/0.68 thf(f6565,plain,(
% 2.08/0.68 ($true != $true) | ((subset @ sK23 @ sK24) = $true)),
% 2.08/0.68 inference(forward_demodulation,[],[f6564,f2337])).
% 2.08/0.68 thf(f2337,plain,(
% 2.08/0.68 (subsetI2 = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f1039,plain,(
% 2.08/0.68 (binintersectSubset5 = $true) & (subset2powerset = $true) & (upairset2IR = $true) & (funcextLem = $true) & (ex1I = $true) & (powerset__Cong = $true) & (setbeta = $true) & (setOfPairsIsBReln = $true) & (cartprodmempaircEq = $true) & (quantDeMorgan1 = $true) & (subsetemptysetimpeq = $true) & (emptyinPowerset = $true) & (eta1 = $true) & (upairsetIL = $true) & (kpairsurjEq = $true) & (binunionT_lem = $true) & (binintersectLsub = $true) & (ubforcartprodlem3 = $true) & (setunionAx = $true) & (setminusELneg = $true) & (subsetRefl = $true) & (cartprodpairmemER = $true) & (dpsetconstrER = $true) & (app = $true) & (setadjoinSub2 = $true) & ((! [X3] : (((in @ X3 @ sK24) = $true) | ((in @ X3 @ sK22) != $true) | ($true != (in @ X3 @ sK23))) & ((in @ sK24 @ (powerset @ sK22)) = $true) & ((subset @ sK23 @ sK24) != $true)) & ((in @ sK23 @ (powerset @ sK22)) = $true)) & (exuEu = $true) & (dpsetconstrERa = $true) & (setukpairinjL2 = $true) & (iftrueProp1 = $true) & (setadjoinIL = $true) & (exuE1 = $true) & (binunionLsub = $true) & (binintersectEL = $true) & (setminusSubset2 = $true) & (cartprodpairmemEL = $true) & (nonemptyI = $true) & (dsetconstr__Cong = $true) & (exuI3 = $true) & (notsubsetI = $true) & (binunionEcases = $true) & (subsetI2 = $true) & (symdiffIneg2 = $true) & (notinsingleton = $true) & (upairsetIR = $true) & (funcext = $true) & (singletonprop = $true) & (emptysetAx = $true) & (beta2 = $true) & (iffalseProp1 = $true) & (setunionI = $true) & (setukpairinjR11 = $true) & (ap2apEq1 = $true) & (funcGraphProp2 = $true) & (theprop = $true) & (powersetAx = $true) & (lam2p = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (emptyE1 = $true) & (emptysetimpfalse = $true) & (dsetconstrER = $true) & (symdiffI1 = $true) & (descr__Cong = $true) & (binintersectSubset1 = $true) & (setunionsingleton = $true) & (theeq = $true) & (iftrue = $true) & (notdallE = $true) & (prop2set2propI = $true) & (kfstsingleton = $true) & (brelnall2 = $true) & (symdiffI2 = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (subsetI1 = $true) & (ksndsingleton = $true) & (setadjoinOr = $true) & (omegaSAx = $true) & (in__Cong = $true) & (setukpairinjL = $true) & (eqbreln = $true) & (setextT = $true) & (binintersectRsub = $true) & (subbreln = $true) & (iffalse = $true) & (setadjoinSub = $true) & (bs114d = $true) & (ubforcartprodlem2 = $true) & (funcGraphProp4 = $true) & (secondinupair = $true) & (binintersectSubset2 = $true) & (singletonsubset = $true) & (quantDeMorgan4 = $true) & (iftrueorfalse = $true) & (ap2apEq2 = $true) & (singletonsuniq = $true) & (exuI1 = $true) & (cartprodfstpairEq = $true) & (subPowSU = $true) & (exuE3u = $true) & (uniqinunit = $true) & (setext = $true) & (setadjoinAx = $true) & (cartprodsndin = $true) & (subsetE2 = $true) & (binintersectSubset3 = $true) & (exuI2 = $true) & (binintersectT_lem = $true) & (brelnall1 = $true) & (exuE2 = $true) & (setminusT_lem = $true) & (quantDeMorgan3 = $true) & (lamProp = $true) & (sepSubset = $true) & (eta2 = $true) & (omega0Ax = $true) & (setunionE = $true) & (descrp = $true) & (cartprodsndpairEq = $true) & (iffalseProp2 = $true) & (funcGraphProp1 = $true) & (iftrueProp2 = $true) & (ex1I2 = $true) & (setukpairinjR2 = $true) & (setadjoinE = $true) & (cartprodpairin = $true) & (funcGraphProp3 = $true) & (cartprodmempair = $true) & (beta1 = $true) & (ksndpairEq = $true) & (exu__Cong = $true) & (dsetconstrI = $true) & (kpairp = $true) & (powersetI = $true) & (cartprodpairsurjEq = $true) & (singletonsswitch = $true) & (setukpairIL = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (prop2setI = $true) & (ex1E2 = $true) & (inCongP = $true) & (ubforcartprodlem1 = $true) & (eqinunit = $true) & (setunionsingleton1 = $true) & (setminusIRneg = $true) & (notequalI2 = $true) & (subsetTrans = $true) & (dpsetconstrEL1 = $true) & (nonemptyI1 = $true) & (setminusI = $true) & (upairset2E = $true) & (complementT_lem = $true) & (disjointsetsI1 = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (replAx = $true) & (exuE3e = $true) & (setminusLsub = $true) & (setukpairinjR12 = $true) & (powersetT_lem = $true) & (upairequniteq = $true) & (setunionsingleton2 = $true) & (foundationAx = $true) & (sepInPowerset = $true) & (funcinfuncset = $true) & (setunion__Cong = $true) & (ifp = $true) & (prop2setE = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (setextAx = $true) & (wellorderingAx = $true) & (inPowerset = $true) & (omega__Cong = $true) & (notinemptyset = $true) & (setextsub = $true) & (emptyset__Cong = $true) & (emptysetE = $true) & (ap2p = $true) & (dpsetconstrEL2 = $true) & (emptyinunitempty = $true) & (dpsetconstrSub = $true) & (cartprodmempair1 = $true) & (infuncsetfunc = $true) & (binintersectI = $true) & (notdexE = $true) & (setunionE2 = $true) & (emptysetsubset = $true) & (binunionRsub = $true) & (setukpairinjR = $true) & (eqimpsubset2 = $true) & (lam2lamEq = $true) & (ifSingleton = $true) & (binunionIR = $true) & (binunionIL = $true) & (setminusILneg = $true) & (symdiffE = $true) & (cartprodfstin = $true) & (dsetconstrEL = $true) & (setukpairinjR1 = $true) & (binunionE = $true) & (symdiffIneg1 = $true) & (kfstpairEq = $true) & (funcext2 = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (setminusSubset1 = $true) & (upairsubunion = $true) & (omegaIndAx = $true) & (powersetI1 = $true) & (apProp = $true) & (setminusEL = $true) & (subsetE = $true) & (funcImageSingleton = $true) & (setukpairinjL1 = $true) & (vacuousDall = $true) & (powersetsubset = $true) & (dpsetconstrI = $true) & (singletoninpowunion = $true) & (setminusERneg = $true) & (emptyInPowerset = $true) & (lamp = $true) & (upairinpowunion = $true) & (binintersectER = $true) & (ex1E1 = $true) & (setoftrueEq = $true) & (emptyI = $true) & (nonemptyE1 = $true) & (setminusER = $true) & (quantDeMorgan2 = $true) & (singletoninpowerset = $true)),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f769,f1038,f1037])).
% 2.08/0.68 thf(f1037,plain,(
% 2.08/0.68 ? [X0,X1] : (? [X2] : (! [X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ X1) != $true)) & ($true = (in @ X2 @ (powerset @ X0))) & ((subset @ X1 @ X2) != $true)) & ((in @ X1 @ (powerset @ X0)) = $true)) => (? [X2] : (! [X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ sK22) != $true) | ($true != (in @ X3 @ sK23))) & ((in @ X2 @ (powerset @ sK22)) = $true) & ((subset @ sK23 @ X2) != $true)) & ((in @ sK23 @ (powerset @ sK22)) = $true))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1038,plain,(
% 2.08/0.68 ? [X2] : (! [X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ sK22) != $true) | ($true != (in @ X3 @ sK23))) & ((in @ X2 @ (powerset @ sK22)) = $true) & ((subset @ sK23 @ X2) != $true)) => (! [X3] : (((in @ X3 @ sK24) = $true) | ((in @ X3 @ sK22) != $true) | ($true != (in @ X3 @ sK23))) & ((in @ sK24 @ (powerset @ sK22)) = $true) & ((subset @ sK23 @ sK24) != $true))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f769,plain,(
% 2.08/0.68 (binintersectSubset5 = $true) & (subset2powerset = $true) & (upairset2IR = $true) & (funcextLem = $true) & (ex1I = $true) & (powerset__Cong = $true) & (setbeta = $true) & (setOfPairsIsBReln = $true) & (cartprodmempaircEq = $true) & (quantDeMorgan1 = $true) & (subsetemptysetimpeq = $true) & (emptyinPowerset = $true) & (eta1 = $true) & (upairsetIL = $true) & (kpairsurjEq = $true) & (binunionT_lem = $true) & (binintersectLsub = $true) & (ubforcartprodlem3 = $true) & (setunionAx = $true) & (setminusELneg = $true) & (subsetRefl = $true) & (cartprodpairmemER = $true) & (dpsetconstrER = $true) & (app = $true) & (setadjoinSub2 = $true) & ? [X0,X1] : (? [X2] : (! [X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ X1) != $true)) & ($true = (in @ X2 @ (powerset @ X0))) & ((subset @ X1 @ X2) != $true)) & ((in @ X1 @ (powerset @ X0)) = $true)) & (exuEu = $true) & (dpsetconstrERa = $true) & (setukpairinjL2 = $true) & (iftrueProp1 = $true) & (setadjoinIL = $true) & (exuE1 = $true) & (binunionLsub = $true) & (binintersectEL = $true) & (setminusSubset2 = $true) & (cartprodpairmemEL = $true) & (nonemptyI = $true) & (dsetconstr__Cong = $true) & (exuI3 = $true) & (notsubsetI = $true) & (binunionEcases = $true) & (subsetI2 = $true) & (symdiffIneg2 = $true) & (notinsingleton = $true) & (upairsetIR = $true) & (funcext = $true) & (singletonprop = $true) & (emptysetAx = $true) & (beta2 = $true) & (iffalseProp1 = $true) & (setunionI = $true) & (setukpairinjR11 = $true) & (ap2apEq1 = $true) & (funcGraphProp2 = $true) & (theprop = $true) & (powersetAx = $true) & (lam2p = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (emptyE1 = $true) & (emptysetimpfalse = $true) & (dsetconstrER = $true) & (symdiffI1 = $true) & (descr__Cong = $true) & (binintersectSubset1 = $true) & (setunionsingleton = $true) & (theeq = $true) & (iftrue = $true) & (notdallE = $true) & (prop2set2propI = $true) & (kfstsingleton = $true) & (brelnall2 = $true) & (symdiffI2 = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (subsetI1 = $true) & (ksndsingleton = $true) & (setadjoinOr = $true) & (omegaSAx = $true) & (in__Cong = $true) & (setukpairinjL = $true) & (eqbreln = $true) & (setextT = $true) & (binintersectRsub = $true) & (subbreln = $true) & (iffalse = $true) & (setadjoinSub = $true) & (bs114d = $true) & (ubforcartprodlem2 = $true) & (funcGraphProp4 = $true) & (secondinupair = $true) & (binintersectSubset2 = $true) & (singletonsubset = $true) & (quantDeMorgan4 = $true) & (iftrueorfalse = $true) & (ap2apEq2 = $true) & (singletonsuniq = $true) & (exuI1 = $true) & (cartprodfstpairEq = $true) & (subPowSU = $true) & (exuE3u = $true) & (uniqinunit = $true) & (setext = $true) & (setadjoinAx = $true) & (cartprodsndin = $true) & (subsetE2 = $true) & (binintersectSubset3 = $true) & (exuI2 = $true) & (binintersectT_lem = $true) & (brelnall1 = $true) & (exuE2 = $true) & (setminusT_lem = $true) & (quantDeMorgan3 = $true) & (lamProp = $true) & (sepSubset = $true) & (eta2 = $true) & (omega0Ax = $true) & (setunionE = $true) & (descrp = $true) & (cartprodsndpairEq = $true) & (iffalseProp2 = $true) & (funcGraphProp1 = $true) & (iftrueProp2 = $true) & (ex1I2 = $true) & (setukpairinjR2 = $true) & (setadjoinE = $true) & (cartprodpairin = $true) & (funcGraphProp3 = $true) & (cartprodmempair = $true) & (beta1 = $true) & (ksndpairEq = $true) & (exu__Cong = $true) & (dsetconstrI = $true) & (kpairp = $true) & (powersetI = $true) & (cartprodpairsurjEq = $true) & (singletonsswitch = $true) & (setukpairIL = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (prop2setI = $true) & (ex1E2 = $true) & (inCongP = $true) & (ubforcartprodlem1 = $true) & (eqinunit = $true) & (setunionsingleton1 = $true) & (setminusIRneg = $true) & (notequalI2 = $true) & (subsetTrans = $true) & (dpsetconstrEL1 = $true) & (nonemptyI1 = $true) & (setminusI = $true) & (upairset2E = $true) & (complementT_lem = $true) & (disjointsetsI1 = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (replAx = $true) & (exuE3e = $true) & (setminusLsub = $true) & (setukpairinjR12 = $true) & (powersetT_lem = $true) & (upairequniteq = $true) & (setunionsingleton2 = $true) & (foundationAx = $true) & (sepInPowerset = $true) & (funcinfuncset = $true) & (setunion__Cong = $true) & (ifp = $true) & (prop2setE = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (setextAx = $true) & (wellorderingAx = $true) & (inPowerset = $true) & (omega__Cong = $true) & (notinemptyset = $true) & (setextsub = $true) & (emptyset__Cong = $true) & (emptysetE = $true) & (ap2p = $true) & (dpsetconstrEL2 = $true) & (emptyinunitempty = $true) & (dpsetconstrSub = $true) & (cartprodmempair1 = $true) & (infuncsetfunc = $true) & (binintersectI = $true) & (notdexE = $true) & (setunionE2 = $true) & (emptysetsubset = $true) & (binunionRsub = $true) & (setukpairinjR = $true) & (eqimpsubset2 = $true) & (lam2lamEq = $true) & (ifSingleton = $true) & (binunionIR = $true) & (binunionIL = $true) & (setminusILneg = $true) & (symdiffE = $true) & (cartprodfstin = $true) & (dsetconstrEL = $true) & (setukpairinjR1 = $true) & (binunionE = $true) & (symdiffIneg1 = $true) & (kfstpairEq = $true) & (funcext2 = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (setminusSubset1 = $true) & (upairsubunion = $true) & (omegaIndAx = $true) & (powersetI1 = $true) & (apProp = $true) & (setminusEL = $true) & (subsetE = $true) & (funcImageSingleton = $true) & (setukpairinjL1 = $true) & (vacuousDall = $true) & (powersetsubset = $true) & (dpsetconstrI = $true) & (singletoninpowunion = $true) & (setminusERneg = $true) & (emptyInPowerset = $true) & (lamp = $true) & (upairinpowunion = $true) & (binintersectER = $true) & (ex1E1 = $true) & (setoftrueEq = $true) & (emptyI = $true) & (nonemptyE1 = $true) & (setminusER = $true) & (quantDeMorgan2 = $true) & (singletoninpowerset = $true)),
% 2.08/0.68 inference(flattening,[],[f768])).
% 2.08/0.68 thf(f768,plain,(
% 2.08/0.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((((subset @ X1 @ X2) != $true) & ! [X3] : ((((in @ X3 @ X2) = $true) | ((in @ X3 @ X1) != $true)) | ((in @ X3 @ X0) != $true))) & ($true = (in @ X2 @ (powerset @ X0)))) & ((in @ X1 @ (powerset @ X0)) = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 2.08/0.68 inference(ennf_transformation,[],[f544])).
% 2.08/0.68 thf(f544,plain,(
% 2.08/0.68 ~((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) => ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ! [X2] : (($true = (in @ X2 @ (powerset @ X0))) => (! [X3] : (((in @ X3 @ X0) = $true) => (((in @ X3 @ X1) = $true) => ((in @ X3 @ X2) = $true))) => ((subset @ X1 @ X2) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.08/0.68 inference(fool_elimination,[],[f543])).
% 2.08/0.68 thf(f543,plain,(
% 2.08/0.68 ~(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 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => (! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (subset @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.08/0.68 inference(rectify,[],[f238])).
% 2.08/0.68 thf(f238,negated_conjecture,(
% 2.08/0.68 ~(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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (subset @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.08/0.68 inference(negated_conjecture,[],[f237])).
% 2.08/0.68 thf(f237,conjecture,(
% 2.08/0.68 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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (subset @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetTI)).
% 2.08/0.68 thf(f6564,plain,(
% 2.08/0.68 (subsetI2 != $true) | ((subset @ sK23 @ sK24) = $true)),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f6563])).
% 2.08/0.68 thf(f6563,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) = $true) | (subsetI2 != $true) | ($true != $true)),
% 2.08/0.68 inference(duplicate_literal_removal,[],[f6554])).
% 2.08/0.68 thf(f6554,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) = $true) | (subsetI2 != $true) | ((subset @ sK23 @ sK24) = $true) | ($true != $true)),
% 2.08/0.68 inference(superposition,[],[f4669,f2557])).
% 2.08/0.68 thf(f2557,plain,(
% 2.08/0.68 ( ! [X3 : $i,X4 : $i] : (((in @ (sK173 @ X4 @ X3) @ X3) = $true) | (subsetI2 != $true) | ((subset @ X3 @ X4) = $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1271])).
% 2.08/0.68 thf(f1271,plain,(
% 2.08/0.68 ((subsetI2 = $true) | (! [X2] : (((in @ X2 @ sK172) = $true) | ((in @ X2 @ sK171) != $true)) & ((subset @ sK171 @ sK172) != $true))) & (! [X3,X4] : ((((in @ (sK173 @ X4 @ X3) @ X4) != $true) & ((in @ (sK173 @ X4 @ X3) @ X3) = $true)) | ((subset @ X3 @ X4) = $true)) | (subsetI2 != $true))),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK171,sK172,sK173])],[f1268,f1270,f1269])).
% 2.08/0.68 thf(f1269,plain,(
% 2.08/0.68 ? [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) & ($true != (subset @ X0 @ X1))) => (! [X2] : (((in @ X2 @ sK172) = $true) | ((in @ X2 @ sK171) != $true)) & ((subset @ sK171 @ sK172) != $true))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1270,plain,(
% 2.08/0.68 ! [X3,X4] : (? [X5] : (((in @ X5 @ X4) != $true) & ((in @ X5 @ X3) = $true)) => (((in @ (sK173 @ X4 @ X3) @ X4) != $true) & ((in @ (sK173 @ X4 @ X3) @ X3) = $true)))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1268,plain,(
% 2.08/0.68 ((subsetI2 = $true) | ? [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) & ($true != (subset @ X0 @ X1)))) & (! [X3,X4] : (? [X5] : (((in @ X5 @ X4) != $true) & ((in @ X5 @ X3) = $true)) | ((subset @ X3 @ X4) = $true)) | (subsetI2 != $true))),
% 2.08/0.68 inference(rectify,[],[f1267])).
% 2.08/0.68 thf(f1267,plain,(
% 2.08/0.68 ((subsetI2 = $true) | ? [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) & ($true != (subset @ X0 @ X1)))) & (! [X0,X1] : (? [X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true)) | ($true = (subset @ X0 @ X1))) | (subsetI2 != $true))),
% 2.08/0.68 inference(nnf_transformation,[],[f871])).
% 2.08/0.68 thf(f871,plain,(
% 2.08/0.68 (subsetI2 = $true) <=> ! [X0,X1] : (? [X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true)) | ($true = (subset @ X0 @ X1)))),
% 2.08/0.68 inference(ennf_transformation,[],[f263])).
% 2.08/0.68 thf(f263,plain,(
% 2.08/0.68 (subsetI2 = $true) <=> ! [X0,X1] : (! [X2] : (((in @ X2 @ X0) = $true) => ((in @ X2 @ X1) = $true)) => ($true = (subset @ X0 @ X1)))),
% 2.08/0.68 inference(fool_elimination,[],[f262])).
% 2.08/0.68 thf(f262,plain,(
% 2.08/0.68 (subsetI2 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 2.08/0.68 inference(rectify,[],[f81])).
% 2.08/0.68 thf(f81,axiom,(
% 2.08/0.68 (subsetI2 = ! [X3,X4] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)))),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2)).
% 2.08/0.68 thf(f4669,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f4668])).
% 2.08/0.68 thf(f4668,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ((subset @ X0 @ sK24) = $true) | ($true != $true)) )),
% 2.08/0.68 inference(duplicate_literal_removal,[],[f4662])).
% 2.08/0.68 thf(f4662,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (($true != $true) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(superposition,[],[f3591,f3524])).
% 2.08/0.68 thf(f3524,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ X0 @ sK22) = $true) | ((in @ X0 @ sK23) != $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3523])).
% 2.08/0.68 thf(f3523,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ X0 @ sK22) = $true) | ((in @ X0 @ sK23) != $true) | ($true != $true)) )),
% 2.08/0.68 inference(forward_demodulation,[],[f3501,f2323])).
% 2.08/0.68 thf(f2323,plain,(
% 2.08/0.68 (powersetAx = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f3501,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ X0 @ sK23) != $true) | (powersetAx != $true) | ((in @ X0 @ sK22) = $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3497])).
% 2.08/0.68 thf(f3497,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((in @ X0 @ sK22) = $true) | (powersetAx != $true) | ((in @ X0 @ sK23) != $true) | ($true != $true)) )),
% 2.08/0.68 inference(superposition,[],[f2962,f2353])).
% 2.08/0.68 thf(f2353,plain,(
% 2.08/0.68 ((in @ sK23 @ (powerset @ sK22)) = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f2962,plain,(
% 2.08/0.68 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) = $true) | (powersetAx != $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1740])).
% 2.08/0.68 thf(f1740,plain,(
% 2.08/0.68 (! [X0,X1] : ((! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) | ((in @ X1 @ (powerset @ X0)) != $true)) & (((in @ X1 @ (powerset @ X0)) = $true) | (((in @ (sK475 @ X1 @ X0) @ X0) != $true) & ((in @ (sK475 @ X1 @ X0) @ X1) = $true)))) | (powersetAx != $true)) & ((powersetAx = $true) | ((((in @ sK477 @ (powerset @ sK476)) != $true) | (((in @ sK478 @ sK476) != $true) & ($true = (in @ sK478 @ sK477)))) & (((in @ sK477 @ (powerset @ sK476)) = $true) | ! [X7] : (((in @ X7 @ sK476) = $true) | ($true != (in @ X7 @ sK477))))))),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK475,sK476,sK477,sK478])],[f1736,f1739,f1738,f1737])).
% 2.08/0.68 thf(f1737,plain,(
% 2.08/0.68 ! [X0,X1] : (? [X3] : (((in @ X3 @ X0) != $true) & ((in @ X3 @ X1) = $true)) => (((in @ (sK475 @ X1 @ X0) @ X0) != $true) & ((in @ (sK475 @ X1 @ X0) @ X1) = $true)))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1738,plain,(
% 2.08/0.68 ? [X4,X5] : ((((in @ X5 @ (powerset @ X4)) != $true) | ? [X6] : (((in @ X6 @ X4) != $true) & ((in @ X6 @ X5) = $true))) & (((in @ X5 @ (powerset @ X4)) = $true) | ! [X7] : (((in @ X7 @ X4) = $true) | ((in @ X7 @ X5) != $true)))) => ((((in @ sK477 @ (powerset @ sK476)) != $true) | ? [X6] : (((in @ X6 @ sK476) != $true) & ($true = (in @ X6 @ sK477)))) & (((in @ sK477 @ (powerset @ sK476)) = $true) | ! [X7] : (((in @ X7 @ sK476) = $true) | ($true != (in @ X7 @ sK477)))))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1739,plain,(
% 2.08/0.68 ? [X6] : (((in @ X6 @ sK476) != $true) & ($true = (in @ X6 @ sK477))) => (((in @ sK478 @ sK476) != $true) & ($true = (in @ sK478 @ sK477)))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1736,plain,(
% 2.08/0.68 (! [X0,X1] : ((! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) | ((in @ X1 @ (powerset @ X0)) != $true)) & (((in @ X1 @ (powerset @ X0)) = $true) | ? [X3] : (((in @ X3 @ X0) != $true) & ((in @ X3 @ X1) = $true)))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X4,X5] : ((((in @ X5 @ (powerset @ X4)) != $true) | ? [X6] : (((in @ X6 @ X4) != $true) & ((in @ X6 @ X5) = $true))) & (((in @ X5 @ (powerset @ X4)) = $true) | ! [X7] : (((in @ X7 @ X4) = $true) | ((in @ X7 @ X5) != $true)))))),
% 2.08/0.68 inference(rectify,[],[f1735])).
% 2.08/0.68 thf(f1735,plain,(
% 2.08/0.68 (! [X0,X1] : ((! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) | ((in @ X1 @ (powerset @ X0)) != $true)) & (((in @ X1 @ (powerset @ X0)) = $true) | ? [X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ X1) = $true)))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X0,X1] : ((((in @ X1 @ (powerset @ X0)) != $true) | ? [X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ X1) = $true))) & (((in @ X1 @ (powerset @ X0)) = $true) | ! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)))))),
% 2.08/0.68 inference(nnf_transformation,[],[f804])).
% 2.08/0.68 thf(f804,plain,(
% 2.08/0.68 ! [X0,X1] : (! [X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) <=> ((in @ X1 @ (powerset @ X0)) = $true)) <=> (powersetAx = $true)),
% 2.08/0.68 inference(ennf_transformation,[],[f427])).
% 2.08/0.68 thf(f427,plain,(
% 2.08/0.68 (powersetAx = $true) <=> ! [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) => ((in @ X2 @ X0) = $true)) <=> ((in @ X1 @ (powerset @ X0)) = $true))),
% 2.08/0.68 inference(fool_elimination,[],[f426])).
% 2.08/0.68 thf(f426,plain,(
% 2.08/0.68 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) <=> ! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0))) = powersetAx)),
% 2.08/0.68 inference(rectify,[],[f5])).
% 2.08/0.68 thf(f5,axiom,(
% 2.08/0.68 (! [X3,X4] : ((in @ X4 @ (powerset @ X3)) <=> ! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3))) = powersetAx)),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx)).
% 2.08/0.68 thf(f3591,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (($true != (in @ (sK173 @ sK24 @ X0) @ sK22)) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3590])).
% 2.08/0.68 thf(f3590,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (($true != $true) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ($true != (in @ (sK173 @ sK24 @ X0) @ sK22)) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(forward_demodulation,[],[f3588,f2337])).
% 2.08/0.68 thf(f3588,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (($true != (in @ (sK173 @ sK24 @ X0) @ sK22)) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | (subsetI2 != $true) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3558])).
% 2.08/0.68 thf(f3558,plain,(
% 2.08/0.68 ( ! [X0 : $i] : ((subsetI2 != $true) | ($true != (in @ (sK173 @ sK24 @ X0) @ sK22)) | ((in @ (sK173 @ sK24 @ X0) @ sK23) != $true) | ($true != $true) | ((subset @ X0 @ sK24) = $true)) )),
% 2.08/0.68 inference(superposition,[],[f2558,f2356])).
% 2.08/0.68 thf(f2356,plain,(
% 2.08/0.68 ( ! [X3 : $i] : (((in @ X3 @ sK24) = $true) | ($true != (in @ X3 @ sK23)) | ((in @ X3 @ sK22) != $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f2558,plain,(
% 2.08/0.68 ( ! [X3 : $i,X4 : $i] : (((in @ (sK173 @ X4 @ X3) @ X4) != $true) | (subsetI2 != $true) | ((subset @ X3 @ X4) = $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1271])).
% 2.08/0.68 thf(f6262,plain,(
% 2.08/0.68 ~spl732_75),
% 2.08/0.68 inference(avatar_split_clause,[],[f6261,f4713])).
% 2.08/0.68 thf(f6261,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) != $true)),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f6260])).
% 2.08/0.68 thf(f6260,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) != $true) | ($true != $true)),
% 2.08/0.68 inference(forward_demodulation,[],[f6243,f2313])).
% 2.08/0.68 thf(f2313,plain,(
% 2.08/0.68 (setunionsingleton = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f6243,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) != $true) | (setunionsingleton != $true)),
% 2.08/0.68 inference(superposition,[],[f3790,f2430])).
% 2.08/0.68 thf(f2430,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset)) = X0) | (setunionsingleton != $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1103])).
% 2.08/0.68 thf(f1103,plain,(
% 2.08/0.68 (! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | ((setunion @ (setadjoin @ sK62 @ emptyset)) != sK62))),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1101,f1102])).
% 2.08/0.68 thf(f1102,plain,(
% 2.08/0.68 ? [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) != X1) => ((setunion @ (setadjoin @ sK62 @ emptyset)) != sK62)),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1101,plain,(
% 2.08/0.68 (! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | ? [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) != X1))),
% 2.08/0.68 inference(rectify,[],[f1100])).
% 2.08/0.68 thf(f1100,plain,(
% 2.08/0.68 (! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0))),
% 2.08/0.68 inference(nnf_transformation,[],[f645])).
% 2.08/0.68 thf(f645,plain,(
% 2.08/0.68 ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) <=> (setunionsingleton = $true)),
% 2.08/0.68 inference(fool_elimination,[],[f644])).
% 2.08/0.68 thf(f644,plain,(
% 2.08/0.68 (! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0) = setunionsingleton)),
% 2.08/0.68 inference(rectify,[],[f155])).
% 2.08/0.68 thf(f155,axiom,(
% 2.08/0.68 (! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1) = setunionsingleton)),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionsingleton)).
% 2.08/0.68 thf(f3790,plain,(
% 2.08/0.68 ((subset @ (setunion @ (setadjoin @ sK23 @ emptyset)) @ sK24) != $true)),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3789])).
% 2.08/0.68 thf(f3789,plain,(
% 2.08/0.68 ($true != $true) | ((subset @ (setunion @ (setadjoin @ sK23 @ emptyset)) @ sK24) != $true)),
% 2.08/0.68 inference(forward_demodulation,[],[f3776,f2215])).
% 2.08/0.68 thf(f2215,plain,(
% 2.08/0.68 (setunionsingleton2 = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f3776,plain,(
% 2.08/0.68 (setunionsingleton2 != $true) | ((subset @ (setunion @ (setadjoin @ sK23 @ emptyset)) @ sK24) != $true)),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3723])).
% 2.08/0.68 thf(f3723,plain,(
% 2.08/0.68 ($true != $true) | (setunionsingleton2 != $true) | ((subset @ (setunion @ (setadjoin @ sK23 @ emptyset)) @ sK24) != $true)),
% 2.08/0.68 inference(superposition,[],[f3489,f2628])).
% 2.08/0.68 thf(f2628,plain,(
% 2.08/0.68 ( ! [X1 : $i] : (((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1354])).
% 2.08/0.68 thf(f1354,plain,(
% 2.08/0.68 ((setunionsingleton2 = $true) | ((subset @ sK218 @ (setunion @ (setadjoin @ sK218 @ emptyset))) != $true)) & (! [X1] : ((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK218])],[f1352,f1353])).
% 2.08/0.68 thf(f1353,plain,(
% 2.08/0.68 ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true) => ((subset @ sK218 @ (setunion @ (setadjoin @ sK218 @ emptyset))) != $true)),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1352,plain,(
% 2.08/0.68 ((setunionsingleton2 = $true) | ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X1] : ((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
% 2.08/0.68 inference(rectify,[],[f1351])).
% 2.08/0.68 thf(f1351,plain,(
% 2.08/0.68 ((setunionsingleton2 = $true) | ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
% 2.08/0.68 inference(nnf_transformation,[],[f277])).
% 2.08/0.68 thf(f277,plain,(
% 2.08/0.68 (setunionsingleton2 = $true) <=> ! [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = $true)),
% 2.08/0.68 inference(fool_elimination,[],[f276])).
% 2.08/0.68 thf(f276,plain,(
% 2.08/0.68 (! [X0] : (subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = setunionsingleton2)),
% 2.08/0.68 inference(rectify,[],[f154])).
% 2.08/0.68 thf(f154,axiom,(
% 2.08/0.68 (! [X3] : (subset @ X3 @ (setunion @ (setadjoin @ X3 @ emptyset))) = setunionsingleton2)),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionsingleton2)).
% 2.08/0.68 thf(f3489,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((subset @ sK23 @ X0) != $true) | ((subset @ X0 @ sK24) != $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3488])).
% 2.08/0.68 thf(f3488,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (($true != $true) | ((subset @ X0 @ sK24) != $true) | ((subset @ sK23 @ X0) != $true)) )),
% 2.08/0.68 inference(forward_demodulation,[],[f3487,f2230])).
% 2.08/0.68 thf(f2230,plain,(
% 2.08/0.68 (subsetTrans = $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 thf(f3487,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((subset @ sK23 @ X0) != $true) | ((subset @ X0 @ sK24) != $true) | (subsetTrans != $true)) )),
% 2.08/0.68 inference(trivial_inequality_removal,[],[f3480])).
% 2.08/0.68 thf(f3480,plain,(
% 2.08/0.68 ( ! [X0 : $i] : (((subset @ X0 @ sK24) != $true) | ((subset @ sK23 @ X0) != $true) | (subsetTrans != $true) | ($true != $true)) )),
% 2.08/0.68 inference(superposition,[],[f2354,f2758])).
% 2.08/0.68 thf(f2758,plain,(
% 2.08/0.68 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X1 @ X2) = $true) | ($true != (subset @ X0 @ X2)) | ((subset @ X1 @ X0) != $true) | (subsetTrans != $true)) )),
% 2.08/0.68 inference(cnf_transformation,[],[f1506])).
% 2.08/0.68 thf(f1506,plain,(
% 2.08/0.68 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X1 @ X2) = $true) | ((subset @ X1 @ X0) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | (((subset @ sK319 @ sK321) = $true) & ((subset @ sK320 @ sK321) != $true) & ((subset @ sK320 @ sK319) = $true)))),
% 2.08/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK319,sK320,sK321])],[f1504,f1505])).
% 2.08/0.68 thf(f1505,plain,(
% 2.08/0.68 ? [X3,X4,X5] : (((subset @ X3 @ X5) = $true) & ((subset @ X4 @ X5) != $true) & ((subset @ X4 @ X3) = $true)) => (((subset @ sK319 @ sK321) = $true) & ((subset @ sK320 @ sK321) != $true) & ((subset @ sK320 @ sK319) = $true))),
% 2.08/0.68 introduced(choice_axiom,[])).
% 2.08/0.68 thf(f1504,plain,(
% 2.08/0.68 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X1 @ X2) = $true) | ((subset @ X1 @ X0) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X3,X4,X5] : (((subset @ X3 @ X5) = $true) & ((subset @ X4 @ X5) != $true) & ((subset @ X4 @ X3) = $true)))),
% 2.08/0.68 inference(rectify,[],[f1503])).
% 2.08/0.68 thf(f1503,plain,(
% 2.08/0.68 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X1 @ X2) = $true) | ((subset @ X1 @ X0) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X0,X1,X2] : (($true = (subset @ X0 @ X2)) & ((subset @ X1 @ X2) != $true) & ((subset @ X1 @ X0) = $true)))),
% 2.08/0.68 inference(nnf_transformation,[],[f771])).
% 2.08/0.68 thf(f771,plain,(
% 2.08/0.68 ! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X1 @ X2) = $true) | ((subset @ X1 @ X0) != $true)) <=> (subsetTrans = $true)),
% 2.08/0.68 inference(flattening,[],[f770])).
% 2.08/0.68 thf(f770,plain,(
% 2.08/0.68 (subsetTrans = $true) <=> ! [X0,X1,X2] : ((((subset @ X1 @ X2) = $true) | ($true != (subset @ X0 @ X2))) | ((subset @ X1 @ X0) != $true))),
% 2.08/0.68 inference(ennf_transformation,[],[f373])).
% 2.08/0.68 thf(f373,plain,(
% 2.08/0.68 (subsetTrans = $true) <=> ! [X0,X1,X2] : (((subset @ X1 @ X0) = $true) => (($true = (subset @ X0 @ X2)) => ((subset @ X1 @ X2) = $true)))),
% 2.08/0.68 inference(fool_elimination,[],[f372])).
% 2.08/0.68 thf(f372,plain,(
% 2.08/0.68 (! [X0,X1,X2] : ((subset @ X1 @ X0) => ((subset @ X0 @ X2) => (subset @ X1 @ X2))) = subsetTrans)),
% 2.08/0.68 inference(rectify,[],[f89])).
% 2.08/0.68 thf(f89,axiom,(
% 2.08/0.68 (! [X4,X3,X5] : ((subset @ X3 @ X4) => ((subset @ X4 @ X5) => (subset @ X3 @ X5))) = subsetTrans)),
% 2.08/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetTrans)).
% 2.08/0.68 thf(f2354,plain,(
% 2.08/0.68 ((subset @ sK23 @ sK24) != $true)),
% 2.08/0.68 inference(cnf_transformation,[],[f1039])).
% 2.08/0.68 % SZS output end Proof for theBenchmark
% 2.08/0.68 % (22323)------------------------------
% 2.08/0.68 % (22323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.68 % (22323)Termination reason: Refutation
% 2.08/0.68
% 2.08/0.68 % (22323)Memory used [KB]: 10746
% 2.08/0.68 % (22323)Time elapsed: 0.214 s
% 2.08/0.68 % (22323)Instructions burned: 552 (million)
% 2.08/0.68 % (22323)------------------------------
% 2.08/0.68 % (22323)------------------------------
% 2.08/0.68 % (22299)Success in time 0.304 s
% 2.08/0.68 % Vampire---4.8 exiting
%------------------------------------------------------------------------------