TSTP Solution File: SEU721^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU721^1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:51:01 EDT 2024
% Result : Theorem 1.43s 0.62s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU721^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.15 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:52:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.40 % (26302)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (26301)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (26300)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.40 % (26298)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (26297)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.40 % (26295)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (26296)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.40 % (26302)Instruction limit reached!
% 0.22/0.40 % (26302)------------------------------
% 0.22/0.40 % (26302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26302)Termination reason: Unknown
% 0.22/0.40 % (26302)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (26302)Memory used [KB]: 1407
% 0.22/0.40 % (26302)Time elapsed: 0.003 s
% 0.22/0.40 % (26302)Instructions burned: 3 (million)
% 0.22/0.40 % (26302)------------------------------
% 0.22/0.40 % (26302)------------------------------
% 0.22/0.40 % (26299)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (26298)Instruction limit reached!
% 0.22/0.40 % (26298)------------------------------
% 0.22/0.40 % (26298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26298)Termination reason: Unknown
% 0.22/0.40 % (26298)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (26298)Memory used [KB]: 1407
% 0.22/0.40 % (26298)Time elapsed: 0.003 s
% 0.22/0.40 % (26298)Instructions burned: 4 (million)
% 0.22/0.40 % (26298)------------------------------
% 0.22/0.40 % (26298)------------------------------
% 0.22/0.40 % (26299)Instruction limit reached!
% 0.22/0.40 % (26299)------------------------------
% 0.22/0.40 % (26299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26299)Termination reason: Unknown
% 0.22/0.40 % (26299)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (26299)Memory used [KB]: 1407
% 0.22/0.40 % (26299)Time elapsed: 0.003 s
% 0.22/0.40 % (26299)Instructions burned: 3 (million)
% 0.22/0.40 % (26299)------------------------------
% 0.22/0.40 % (26299)------------------------------
% 0.22/0.40 % (26296)Instruction limit reached!
% 0.22/0.40 % (26296)------------------------------
% 0.22/0.40 % (26296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26296)Termination reason: Unknown
% 0.22/0.40 % (26296)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (26296)Memory used [KB]: 1407
% 0.22/0.40 % (26296)Time elapsed: 0.005 s
% 0.22/0.40 % (26296)Instructions burned: 5 (million)
% 0.22/0.40 % (26296)------------------------------
% 0.22/0.40 % (26296)------------------------------
% 0.22/0.41 % (26301)Instruction limit reached!
% 0.22/0.41 % (26301)------------------------------
% 0.22/0.41 % (26301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26301)Termination reason: Unknown
% 0.22/0.41 % (26301)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (26301)Memory used [KB]: 1791
% 0.22/0.41 % (26301)Time elapsed: 0.011 s
% 0.22/0.41 % (26301)Instructions burned: 19 (million)
% 0.22/0.41 % (26301)------------------------------
% 0.22/0.41 % (26301)------------------------------
% 0.22/0.41 % (26297)Instruction limit reached!
% 0.22/0.41 % (26297)------------------------------
% 0.22/0.41 % (26297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26297)Termination reason: Unknown
% 0.22/0.41 % (26297)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (26297)Memory used [KB]: 1918
% 0.22/0.41 % (26297)Time elapsed: 0.014 s
% 0.22/0.41 % (26297)Instructions burned: 28 (million)
% 0.22/0.41 % (26297)------------------------------
% 0.22/0.41 % (26297)------------------------------
% 0.22/0.42 % (26304)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)
% 0.22/0.42 % (26305)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)
% 0.22/0.42 % (26303)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)
% 0.22/0.42 % (26305)Instruction limit reached!
% 0.22/0.42 % (26305)------------------------------
% 0.22/0.42 % (26305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (26305)Termination reason: Unknown
% 0.22/0.42 % (26305)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (26305)Memory used [KB]: 1407
% 0.22/0.42 % (26305)Time elapsed: 0.004 s
% 0.22/0.42 % (26305)Instructions burned: 4 (million)
% 0.22/0.42 % (26305)------------------------------
% 0.22/0.42 % (26305)------------------------------
% 0.22/0.42 % (26306)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 % (26304)Instruction limit reached!
% 0.22/0.42 % (26304)------------------------------
% 0.22/0.42 % (26304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (26304)Termination reason: Unknown
% 0.22/0.42 % (26304)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (26304)Memory used [KB]: 1663
% 0.22/0.42 % (26304)Time elapsed: 0.010 s
% 0.22/0.42 % (26304)Instructions burned: 16 (million)
% 0.22/0.42 % (26304)------------------------------
% 0.22/0.42 % (26304)------------------------------
% 0.22/0.42 % (26307)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (26307)Instruction limit reached!
% 0.22/0.43 % (26307)------------------------------
% 0.22/0.43 % (26307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26307)Termination reason: Unknown
% 0.22/0.43 % (26307)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (26307)Memory used [KB]: 1535
% 0.22/0.43 % (26307)Time elapsed: 0.005 s
% 0.22/0.43 % (26307)Instructions burned: 7 (million)
% 0.22/0.43 % (26307)------------------------------
% 0.22/0.43 % (26307)------------------------------
% 0.22/0.43 % (26308)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 % (26303)Instruction limit reached!
% 0.22/0.43 % (26303)------------------------------
% 0.22/0.43 % (26303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26303)Termination reason: Unknown
% 0.22/0.43 % (26303)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (26303)Memory used [KB]: 2174
% 0.22/0.43 % (26303)Time elapsed: 0.018 s
% 0.22/0.43 % (26303)Instructions burned: 37 (million)
% 0.22/0.43 % (26303)------------------------------
% 0.22/0.43 % (26303)------------------------------
% 0.22/0.44 % (26309)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)
% 0.22/0.44 % (26309)Instruction limit reached!
% 0.22/0.44 % (26309)------------------------------
% 0.22/0.44 % (26309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26309)Termination reason: Unknown
% 0.22/0.44 % (26309)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26309)Memory used [KB]: 1407
% 0.22/0.44 % (26309)Time elapsed: 0.003 s
% 0.22/0.44 % (26309)Instructions burned: 3 (million)
% 0.22/0.44 % (26309)------------------------------
% 0.22/0.44 % (26309)------------------------------
% 0.22/0.44 % (26308)Instruction limit reached!
% 0.22/0.44 % (26308)------------------------------
% 0.22/0.44 % (26308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26308)Termination reason: Unknown
% 0.22/0.44 % (26308)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26308)Memory used [KB]: 1791
% 0.22/0.44 % (26308)Time elapsed: 0.010 s
% 0.22/0.44 % (26308)Instructions burned: 18 (million)
% 0.22/0.44 % (26308)------------------------------
% 0.22/0.44 % (26308)------------------------------
% 0.22/0.44 % (26311)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 % (26311)Instruction limit reached!
% 0.22/0.44 % (26311)------------------------------
% 0.22/0.44 % (26311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26311)Termination reason: Unknown
% 0.22/0.44 % (26311)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26311)Memory used [KB]: 1535
% 0.22/0.44 % (26311)Time elapsed: 0.005 s
% 0.22/0.44 % (26311)Instructions burned: 7 (million)
% 0.22/0.44 % (26311)------------------------------
% 0.22/0.44 % (26311)------------------------------
% 0.22/0.44 % (26310)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 % (26310)Instruction limit reached!
% 0.22/0.44 % (26310)------------------------------
% 0.22/0.44 % (26310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26310)Termination reason: Unknown
% 0.22/0.44 % (26310)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26310)Memory used [KB]: 1407
% 0.22/0.44 % (26310)Time elapsed: 0.004 s
% 0.22/0.44 % (26310)Instructions burned: 4 (million)
% 0.22/0.44 % (26310)------------------------------
% 0.22/0.44 % (26310)------------------------------
% 0.22/0.45 % (26312)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 % (26312)Instruction limit reached!
% 0.22/0.45 % (26312)------------------------------
% 0.22/0.45 % (26312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26312)Termination reason: Unknown
% 0.22/0.45 % (26312)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (26312)Memory used [KB]: 1407
% 0.22/0.45 % (26312)Time elapsed: 0.004 s
% 0.22/0.45 % (26312)Instructions burned: 5 (million)
% 0.22/0.45 % (26312)------------------------------
% 0.22/0.45 % (26312)------------------------------
% 0.22/0.45 % (26313)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (26313)Instruction limit reached!
% 0.22/0.46 % (26313)------------------------------
% 0.22/0.46 % (26313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26313)Termination reason: Unknown
% 0.22/0.46 % (26313)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (26313)Memory used [KB]: 1407
% 0.22/0.46 % (26313)Time elapsed: 0.006 s
% 0.22/0.46 % (26313)Instructions burned: 4 (million)
% 0.22/0.46 % (26313)------------------------------
% 0.22/0.46 % (26313)------------------------------
% 0.22/0.46 % (26314)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)
% 0.22/0.46 % (26316)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (26316)Instruction limit reached!
% 0.22/0.46 % (26316)------------------------------
% 0.22/0.46 % (26316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26316)Termination reason: Unknown
% 0.22/0.46 % (26316)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (26316)Memory used [KB]: 1535
% 0.22/0.46 % (26316)Time elapsed: 0.005 s
% 0.22/0.46 % (26316)Instructions burned: 7 (million)
% 0.22/0.46 % (26316)------------------------------
% 0.22/0.46 % (26316)------------------------------
% 0.22/0.46 % (26317)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 % (26314)Instruction limit reached!
% 0.22/0.46 % (26314)------------------------------
% 0.22/0.46 % (26314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26314)Termination reason: Unknown
% 0.22/0.46 % (26314)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (26314)Memory used [KB]: 1791
% 0.22/0.46 % (26314)Time elapsed: 0.010 s
% 0.22/0.46 % (26314)Instructions burned: 19 (million)
% 0.22/0.46 % (26314)------------------------------
% 0.22/0.46 % (26314)------------------------------
% 0.22/0.47 % (26315)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47 % (26319)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (26320)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (26319)Instruction limit reached!
% 0.22/0.48 % (26319)------------------------------
% 0.22/0.48 % (26319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (26319)Termination reason: Unknown
% 0.22/0.48 % (26319)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (26319)Memory used [KB]: 1535
% 0.22/0.48 % (26319)Time elapsed: 0.005 s
% 0.22/0.48 % (26319)Instructions burned: 6 (million)
% 0.22/0.48 % (26319)------------------------------
% 0.22/0.48 % (26319)------------------------------
% 0.22/0.48 % (26318)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)
% 0.22/0.48 % (26320)Instruction limit reached!
% 0.22/0.48 % (26320)------------------------------
% 0.22/0.48 % (26320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (26320)Termination reason: Unknown
% 0.22/0.48 % (26320)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (26320)Memory used [KB]: 1535
% 0.22/0.48 % (26320)Time elapsed: 0.004 s
% 0.22/0.48 % (26320)Instructions burned: 6 (million)
% 0.22/0.48 % (26320)------------------------------
% 0.22/0.48 % (26320)------------------------------
% 0.22/0.49 % (26318)Instruction limit reached!
% 0.22/0.49 % (26318)------------------------------
% 0.22/0.49 % (26318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (26318)Termination reason: Unknown
% 0.22/0.49 % (26318)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (26318)Memory used [KB]: 1791
% 0.22/0.49 % (26318)Time elapsed: 0.014 s
% 0.22/0.49 % (26318)Instructions burned: 21 (million)
% 0.22/0.49 % (26318)------------------------------
% 0.22/0.49 % (26318)------------------------------
% 0.22/0.49 % (26321)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.49 % (26322)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.52 % (26295)Instruction limit reached!
% 0.22/0.52 % (26295)------------------------------
% 0.22/0.52 % (26295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (26295)Termination reason: Unknown
% 0.22/0.52 % (26295)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (26295)Memory used [KB]: 7547
% 0.22/0.52 % (26295)Time elapsed: 0.109 s
% 0.22/0.52 % (26295)Instructions burned: 183 (million)
% 0.22/0.52 % (26295)------------------------------
% 0.22/0.52 % (26295)------------------------------
% 0.22/0.52 % (26323)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.53 % (26300)Instruction limit reached!
% 0.22/0.53 % (26300)------------------------------
% 0.22/0.53 % (26300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (26300)Termination reason: Unknown
% 0.22/0.53 % (26300)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (26300)Memory used [KB]: 9466
% 0.22/0.53 % (26300)Time elapsed: 0.132 s
% 0.22/0.53 % (26300)Instructions burned: 275 (million)
% 0.22/0.53 % (26300)------------------------------
% 0.22/0.53 % (26300)------------------------------
% 0.22/0.53 % (26323)Instruction limit reached!
% 0.22/0.53 % (26323)------------------------------
% 0.22/0.53 % (26323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (26323)Termination reason: Unknown
% 0.22/0.53 % (26323)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (26323)Memory used [KB]: 1791
% 0.22/0.53 % (26323)Time elapsed: 0.012 s
% 0.22/0.53 % (26323)Instructions burned: 20 (million)
% 0.22/0.53 % (26323)------------------------------
% 0.22/0.53 % (26323)------------------------------
% 1.30/0.54 % (26324)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 1.30/0.55 % (26325)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.30/0.55 % (26325)Instruction limit reached!
% 1.30/0.55 % (26325)------------------------------
% 1.30/0.55 % (26325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.30/0.55 % (26325)Termination reason: Unknown
% 1.30/0.55 % (26325)Termination phase: shuffling
% 1.30/0.55
% 1.30/0.55 % (26325)Memory used [KB]: 1791
% 1.30/0.55 % (26325)Time elapsed: 0.010 s
% 1.30/0.55 % (26325)Instructions burned: 18 (million)
% 1.30/0.55 % (26325)------------------------------
% 1.30/0.55 % (26325)------------------------------
% 1.30/0.56 % (26326)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.30/0.56 % (26326)Instruction limit reached!
% 1.30/0.56 % (26326)------------------------------
% 1.30/0.56 % (26326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.30/0.56 % (26326)Termination reason: Unknown
% 1.30/0.56 % (26326)Termination phase: shuffling
% 1.30/0.56
% 1.30/0.56 % (26326)Memory used [KB]: 1407
% 1.30/0.56 % (26326)Time elapsed: 0.003 s
% 1.30/0.56 % (26326)Instructions burned: 3 (million)
% 1.30/0.56 % (26326)------------------------------
% 1.30/0.56 % (26326)------------------------------
% 1.43/0.57 % (26327)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.43/0.59 % (26327)Instruction limit reached!
% 1.43/0.59 % (26327)------------------------------
% 1.43/0.59 % (26327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.59 % (26327)Termination reason: Unknown
% 1.43/0.59 % (26327)Termination phase: shuffling
% 1.43/0.59
% 1.43/0.59 % (26327)Memory used [KB]: 1918
% 1.43/0.59 % (26327)Time elapsed: 0.015 s
% 1.43/0.59 % (26327)Instructions burned: 31 (million)
% 1.43/0.59 % (26327)------------------------------
% 1.43/0.59 % (26327)------------------------------
% 1.43/0.59 % (26328)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.43/0.60 % (26329)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.43/0.61 % (26317)First to succeed.
% 1.43/0.62 % (26317)Refutation found. Thanks to Tanya!
% 1.43/0.62 % SZS status Theorem for theBenchmark
% 1.43/0.62 % SZS output start Proof for theBenchmark
% 1.43/0.62 thf(func_def_0, type, in: $i > $i > $o).
% 1.43/0.62 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.43/0.62 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.43/0.62 thf(func_def_8, type, powerset: $i > $i).
% 1.43/0.62 thf(func_def_10, type, setunion: $i > $i).
% 1.43/0.62 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_26, type, prop2set: $o > $i).
% 1.43/0.62 thf(func_def_36, type, nonempty: $i > $o).
% 1.43/0.62 thf(func_def_69, type, set2prop: $i > $o).
% 1.43/0.62 thf(func_def_88, type, subset: $i > $i > $o).
% 1.43/0.62 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.43/0.62 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.43/0.62 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.43/0.62 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.43/0.62 thf(func_def_135, type, regular: $i > $o).
% 1.43/0.62 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.43/0.62 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.43/0.62 thf(func_def_153, type, iskpair: $i > $o).
% 1.43/0.62 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.43/0.62 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.43/0.62 thf(func_def_177, type, singleton: $i > $o).
% 1.43/0.62 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.43/0.62 thf(func_def_184, type, atmost1p: $i > $o).
% 1.43/0.62 thf(func_def_185, type, atleast2p: $i > $o).
% 1.43/0.62 thf(func_def_186, type, atmost2p: $i > $o).
% 1.43/0.62 thf(func_def_187, type, upairsetp: $i > $o).
% 1.43/0.62 thf(func_def_191, type, kfst: $i > $i).
% 1.43/0.62 thf(func_def_203, type, ksnd: $i > $i).
% 1.43/0.62 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.43/0.62 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.43/0.62 thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.43/0.62 thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.43/0.62 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.43/0.62 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.43/0.62 thf(func_def_289, type, sP0: $i > $o > $i > $i > $o).
% 1.43/0.62 thf(func_def_291, type, sP2: $i > $i > $i > $i > $o).
% 1.43/0.62 thf(func_def_293, type, sP4: $i > $i > $i > $o).
% 1.43/0.62 thf(func_def_295, type, sP6: $i > $i > $o).
% 1.43/0.62 thf(func_def_296, type, sP7: $i > $o).
% 1.43/0.62 thf(func_def_297, type, sP8: $i > $i > $o).
% 1.43/0.62 thf(func_def_298, type, sP9: $i > $i > $o).
% 1.43/0.62 thf(func_def_311, type, sK22: $i > $i > $o).
% 1.43/0.62 thf(func_def_319, type, sK30: $i > $o).
% 1.43/0.62 thf(func_def_322, type, sK33: $i > $i > ($i > $i) > $i).
% 1.43/0.62 thf(func_def_323, type, sK34: $i > $i).
% 1.43/0.62 thf(func_def_345, type, sK56: $i > $i > $i).
% 1.43/0.62 thf(func_def_355, type, sK66: $i > $o).
% 1.43/0.62 thf(func_def_356, type, sK67: $i > $o).
% 1.43/0.62 thf(func_def_357, type, sK68: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.43/0.62 thf(func_def_358, type, sK69: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.43/0.62 thf(func_def_369, type, sK80: $i > $i).
% 1.43/0.62 thf(func_def_380, type, sK91: $i > $o).
% 1.43/0.62 thf(func_def_390, type, sK101: $i > $o).
% 1.43/0.62 thf(func_def_392, type, sK103: ($i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_393, type, sK104: ($i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_405, type, sK116: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_410, type, sK121: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_411, type, sK122: $i > $o).
% 1.43/0.62 thf(func_def_419, type, sK130: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_420, type, sK131: $i > $o).
% 1.43/0.62 thf(func_def_424, type, sK135: $i > $i).
% 1.43/0.62 thf(func_def_426, type, sK137: ($i > $i) > $i > $i > $i).
% 1.43/0.62 thf(func_def_430, type, sK141: $i > $i > $i).
% 1.43/0.62 thf(func_def_433, type, sK144: $i > $o).
% 1.43/0.62 thf(func_def_434, type, sK145: $i > $o).
% 1.43/0.62 thf(func_def_435, type, sK146: ($i > $o) > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_436, type, sK147: ($i > $o) > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_457, type, sK168: $i > $i).
% 1.43/0.62 thf(func_def_461, type, sK172: $i > $i).
% 1.43/0.62 thf(func_def_464, type, sK175: $i > $i).
% 1.43/0.62 thf(func_def_469, type, sK180: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_470, type, sK181: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_471, type, sK182: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_472, type, sK183: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_483, type, sK194: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_484, type, sK195: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_490, type, sK201: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_491, type, sK202: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_512, type, sK223: $i > $o).
% 1.43/0.62 thf(func_def_515, type, sK226: $i > $o).
% 1.43/0.62 thf(func_def_518, type, sK229: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_528, type, sK239: ($i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_530, type, sK241: $i > $o).
% 1.43/0.62 thf(func_def_544, type, sK255: $i > $i > $i).
% 1.43/0.62 thf(func_def_545, type, sK256: $i > $i > $i).
% 1.43/0.62 thf(func_def_556, type, sK267: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_557, type, sK268: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_558, type, sK269: $i > $o).
% 1.43/0.62 thf(func_def_571, type, sK282: $i > $o).
% 1.43/0.62 thf(func_def_579, type, sK290: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_582, type, sK293: $i > $i > $o).
% 1.43/0.62 thf(func_def_586, type, sK297: $i > $i > $o).
% 1.43/0.62 thf(func_def_627, type, sK338: $i > $i > ($i > $i) > $i).
% 1.43/0.62 thf(func_def_628, type, sK339: $i > $i).
% 1.43/0.62 thf(func_def_635, type, sK346: $i > $i > $o).
% 1.43/0.62 thf(func_def_643, type, sK354: $o > $i > $i > $i).
% 1.43/0.62 thf(func_def_644, type, sK355: $i > $o).
% 1.43/0.62 thf(func_def_645, type, sK356: $i > $i).
% 1.43/0.62 thf(func_def_646, type, sK357: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_651, type, sK362: ($i > $o) > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_652, type, sK363: ($i > $o) > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_656, type, sK367: $i > $o).
% 1.43/0.62 thf(func_def_661, type, sK372: $i > $i > $i).
% 1.43/0.62 thf(func_def_662, type, sK373: $i > $i > $i).
% 1.43/0.62 thf(func_def_663, type, sK374: $i > $i > $i).
% 1.43/0.62 thf(func_def_664, type, sK375: $i > $i > $i).
% 1.43/0.62 thf(func_def_665, type, sK376: $i > $i > $i).
% 1.43/0.62 thf(func_def_666, type, sK377: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_667, type, sK378: $i > $i).
% 1.43/0.62 thf(func_def_668, type, sK379: $i > $i).
% 1.43/0.62 thf(func_def_669, type, sK380: $i > $i).
% 1.43/0.62 thf(func_def_670, type, sK381: $i > $i).
% 1.43/0.62 thf(func_def_671, type, sK382: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_672, type, sK383: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_673, type, sK384: $i > $i > $i).
% 1.43/0.62 thf(func_def_674, type, sK385: $i > $i > $i).
% 1.43/0.62 thf(func_def_675, type, sK386: $i > $i > $i).
% 1.43/0.62 thf(func_def_677, type, sK388: $i > $i).
% 1.43/0.62 thf(func_def_678, type, sK389: $i > $i).
% 1.43/0.62 thf(func_def_679, type, sK390: $i > $i).
% 1.43/0.62 thf(func_def_683, type, sK394: $i > $o).
% 1.43/0.62 thf(func_def_697, type, sK408: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_698, type, sK409: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_699, type, sK410: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_700, type, sK411: $i > $o).
% 1.43/0.62 thf(func_def_712, type, sK423: $i > $i > $i).
% 1.43/0.62 thf(func_def_721, type, sK432: $i > $i).
% 1.43/0.62 thf(func_def_726, type, sK437: $i > $o).
% 1.43/0.62 thf(func_def_727, type, sK438: $i > $o).
% 1.43/0.62 thf(func_def_728, type, sK439: ($i > $o) > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_729, type, sK440: ($i > $o) > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_730, type, sK441: $i > $i > $i).
% 1.43/0.62 thf(func_def_740, type, sK451: $i > $o).
% 1.43/0.62 thf(func_def_751, type, sK462: $i > $i).
% 1.43/0.62 thf(func_def_753, type, sK464: $i > $o).
% 1.43/0.62 thf(func_def_763, type, sK474: $i > $o).
% 1.43/0.62 thf(func_def_766, type, sK477: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_767, type, sK478: $i > $o).
% 1.43/0.62 thf(func_def_768, type, sK479: $i > $i).
% 1.43/0.62 thf(func_def_776, type, sK487: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_777, type, sK488: $i > $o).
% 1.43/0.62 thf(func_def_782, type, sK493: $i > $i).
% 1.43/0.62 thf(func_def_783, type, sK494: ($i > $i) > $i > $i > $i).
% 1.43/0.62 thf(func_def_797, type, sK508: $i > $o).
% 1.43/0.62 thf(func_def_809, type, sK520: $i > $i > $o).
% 1.43/0.62 thf(func_def_815, type, sK526: $i > $i > $i).
% 1.43/0.62 thf(func_def_818, type, sK529: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_819, type, sK530: $i > $o).
% 1.43/0.62 thf(func_def_850, type, sK561: $i > $o).
% 1.43/0.62 thf(func_def_856, type, sK567: $i > $i).
% 1.43/0.62 thf(func_def_858, type, sK569: $i > $o).
% 1.43/0.62 thf(func_def_863, type, sK574: $i > $o).
% 1.43/0.62 thf(func_def_866, type, sK577: $i > $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_871, type, sK582: $i > $o).
% 1.43/0.62 thf(func_def_874, type, sK585: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_885, type, sK596: ($i > $i) > $i > $i > $i).
% 1.43/0.62 thf(func_def_888, type, sK599: $i > $i).
% 1.43/0.62 thf(func_def_894, type, sK605: $i > $i > $i).
% 1.43/0.62 thf(func_def_906, type, sK617: $i > $o).
% 1.43/0.62 thf(func_def_937, type, sK648: $i > $o).
% 1.43/0.62 thf(func_def_939, type, sK650: ($i > $o) > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_940, type, sK651: ($i > $o) > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_941, type, sK652: ($i > $i) > $i > $i > $i).
% 1.43/0.62 thf(func_def_944, type, sK655: $i > $i).
% 1.43/0.62 thf(func_def_952, type, sK663: ($i > $o) > $i).
% 1.43/0.62 thf(func_def_953, type, sK664: $i > $o).
% 1.43/0.62 thf(func_def_955, type, sK666: $i > $i > $o).
% 1.43/0.62 thf(func_def_968, type, sK679: $i > $i > $i).
% 1.43/0.62 thf(func_def_972, type, sK683: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_977, type, sK688: $i > $o).
% 1.43/0.62 thf(func_def_980, type, sK691: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_981, type, sK692: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_988, type, sK699: $i > $o).
% 1.43/0.62 thf(func_def_991, type, sK702: $i > ($i > $o) > $i).
% 1.43/0.62 thf(func_def_992, type, sK703: $i > $o).
% 1.43/0.62 thf(func_def_1000, type, sK711: $i > $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_1005, type, sK716: $i > $i > $i > $i).
% 1.43/0.62 thf(func_def_1009, type, sK720: $i > $i > $o).
% 1.43/0.62 thf(func_def_1010, type, sK721: $i > $i).
% 1.43/0.62 thf(func_def_1011, type, sK722: $i > $i).
% 1.43/0.62 thf(func_def_1012, type, sK723: ($i > $i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_1013, type, sK724: $i > ($i > $i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_1014, type, sK725: ($i > $i > $o) > $i > $i).
% 1.43/0.62 thf(func_def_1026, type, sK737: $i > $i > $i).
% 1.43/0.62 thf(func_def_1036, type, sK747: $i > $i > $o).
% 1.43/0.62 thf(func_def_1041, type, ph752: !>[X0: $tType]:(X0)).
% 1.43/0.62 thf(f3764,plain,(
% 1.43/0.62 $false),
% 1.43/0.62 inference(avatar_sat_refutation,[],[f3742,f3749])).
% 1.43/0.62 thf(f3749,plain,(
% 1.43/0.62 ~spl751_8),
% 1.43/0.62 inference(avatar_contradiction_clause,[],[f3748])).
% 1.43/0.62 thf(f3748,plain,(
% 1.43/0.62 $false | ~spl751_8),
% 1.43/0.62 inference(trivial_inequality_removal,[],[f3744])).
% 1.43/0.62 thf(f3744,plain,(
% 1.43/0.62 ($true != $true) | ~spl751_8),
% 1.43/0.62 inference(superposition,[],[f2962,f3699])).
% 1.43/0.62 thf(f3699,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) = $true) | ~spl751_8),
% 1.43/0.62 inference(avatar_component_clause,[],[f3697])).
% 1.43/0.62 thf(f3697,plain,(
% 1.43/0.62 spl751_8 <=> ((in @ sK540 @ sK537) = $true)),
% 1.43/0.62 introduced(avatar_definition,[new_symbols(naming,[spl751_8])])).
% 1.43/0.62 thf(f2962,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) != $true)),
% 1.43/0.62 inference(cnf_transformation,[],[f1871])).
% 1.43/0.62 thf(f1871,plain,(
% 1.43/0.62 (setextAx = $true) & (subPowSU = $true) & (setminusSubset1 = $true) & (exuE3u = $true) & (funcext = $true) & (vacuousDall = $true) & (emptyinPowerset = $true) & (subbreln = $true) & (singletonsuniq = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan4 = $true) & (exuI2 = $true) & (uniqinunit = $true) & (cartprodmempair1 = $true) & (setbeta = $true) & (binintersectSubset4 = $true) & (iffalseProp2 = $true) & (binintersectRsub = $true) & (exuE2 = $true) & (setunionsingleton = $true) & (emptysetE = $true) & (notdexE = $true) & (emptysetAx = $true) & (setext = $true) & (cartprodsndin = $true) & (powerset__Cong = $true) & (emptyI = $true) & (iftrueorfalse = $true) & (setminusIRneg = $true) & (emptyInPowerset = $true) & (ubforcartprodlem2 = $true) & (setminusEL = $true) & (kpairiskpair = $true) & (setukpairinjR12 = $true) & (setukpairinjR = $true) & (setOfPairsIsBReln = $true) & (quantDeMorgan2 = $true) & (setextsub = $true) & (exuEu = $true) & (ksndsingleton = $true) & (singletonprop = $true) & (setunionAx = $true) & (ex1E2 = $true) & (complementTE1 = $true) & (wellorderingAx = $true) & (binunionIR = $true) & (setukpairinjR11 = $true) & (singletoninpowerset = $true) & (symdiffI2 = $true) & (cartprodpairsurjEq = $true) & (notequalI2 = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (subset2powerset = $true) & (setunionsingleton2 = $true) & (nonemptyImpWitness = $true) & (eqimpsubset2 = $true) & (ex1E1 = $true) & (funcinfuncset = $true) & (binintersectER = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (dpsetconstrERa = $true) & (kfstpairEq = $true) & (binintersectI = $true) & (cartprodsndpairEq = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (funcGraphProp1 = $true) & (setminusLsub = $true) & (setadjoinSub = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem1 = $true) & (binunionIL = $true) & (setunionE = $true) & (powersetTE1 = $true) & (setadjoinE = $true) & (descr__Cong = $true) & (nonemptyI1 = $true) & (emptyinunitempty = $true) & (prop2set2propI = $true) & (setukpairinjL1 = $true) & (upairsetIR = $true) & (binintersectSubset2 = $true) & (funcext2 = $true) & (setadjoinOr = $true) & (setadjoinIL = $true) & (powersetsubset = $true) & (kpairsurjEq = $true) & (exuE1 = $true) & (exuE3e = $true) & (binunionE = $true) & (quantDeMorgan3 = $true) & (brelnall2 = $true) & (upairequniteq = $true) & (dsetconstrI = $true) & (brelnall1 = $true) & (dsetconstr__Cong = $true) & (emptysetimpfalse = $true) & (binunionT_lem = $true) & (lam2lamEq = $true) & (funcGraphProp4 = $true) & (notinemptyset = $true) & (disjointsetsI1 = $true) & (nonemptyE1 = $true) & (powersetE = $true) & (binintersectSubset3 = $true) & (setukpairIL = $true) & (binintersectEL = $true) & (cartprodmempaircEq = $true) & (complementTI1 = $true) & (sepInPowerset = $true) & (binintersectSubset1 = $true) & (setminusELneg = $true) & (subsetRefl = $true) & (emptysetsubset = $true) & (omega0Ax = $true) & (subsetTrans = $true) & (prop2setE = $true) & (setadjoinSub2 = $true) & (ksndpairEq = $true) & (eta2 = $true) & (ap2apEq2 = $true) & (app = $true) & (powersetE1 = $true) & (apProp = $true) & (subsetI2 = $true) & (binintersectSubset5 = $true) & (symdiffI1 = $true) & (powersetI1 = $true) & (iffalseProp1 = $true) & (emptyE1 = $true) & (lam2p = $true) & (ifSingleton = $true) & (subsetemptysetimpeq = $true) & (singletoninpowunion = $true) & (exu__Cong = $true) & (powersetT_lem = $true) & (funcGraphProp3 = $true) & (replAx = $true) & (setextT = $true) & (subsetE = $true) & (beta1 = $true) & (ap2p = $true) & (eqinunit = $true) & (upairsubunion = $true) & (setadjoinAx = $true) & (kfstsingleton = $true) & (exuI3 = $true) & (quantDeMorgan1 = $true) & (funcImageSingleton = $true) & (cartprodfstpairEq = $true) & (setunionE2 = $true) & (setminusILneg = $true) & (ubforcartprodlem3 = $true) & (omega__Cong = $true) & (upairsetIL = $true) & (iftrue = $true) & (infuncsetfunc = $true) & (setukpairIR = $true) & (cartprodpairin = $true) & (binunionRsub = $true) & (omegaSAx = $true) & (binunionEcases = $true) & (lamp = $true) & (bs114d = $true) & (prop2setI = $true) & (inCongP = $true) & (symdiffIneg1 = $true) & (binunionLsub = $true) & (notsubsetI = $true) & (descrp = $true) & (symdiffIneg2 = $true) & (cartprodmempair = $true) & (($true = (in @ sK537 @ (powerset @ sK538))) & ((((in @ sK540 @ sK537) != $true) & ((in @ sK540 @ sK538) = $true) & ((in @ sK540 @ (binintersect @ sK537 @ sK539)) = $true)) & ((in @ sK539 @ (powerset @ sK538)) = $true))) & (cartprodpairmemER = $true) & (setadjoinIR = $true) & (subsetTI = $true) & (subsetE2 = $true) & (secondinupair = $true) & (funcGraphProp2 = $true) & (iffalse = $true) & (upairsetE = $true) & (setukpairinjR1 = $true) & (setminusI = $true) & (beta2 = $true) & (notequalI1 = $true) & (powersetTI1 = $true) & (in__Cong = $true) & (notdallE = $true) & (dpsetconstrSub = $true) & (ex1I2 = $true) & (foundationAx = $true) & (setminusT_lem = $true) & (sepSubset = $true) & (ifp = $true) & (emptyset__Cong = $true) & (inPowerset = $true) & (dpsetconstrEL2 = $true) & (cartprodfstin = $true) & (setunionsingleton1 = $true) & (setukpairinjR2 = $true) & (ex1I = $true) & (setminusER = $true) & (ap2apEq1 = $true) & (iftrueProp2 = $true) & (setminusSubset2 = $true) & (setminusERneg = $true) & (binintersectLsub = $true) & (notinsingleton = $true) & (eta1 = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (setukpairinjL2 = $true) & (theprop = $true) & (binintersectT_lem = $true) & (kpairp = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (exuI1 = $true) & (lamProp = $true) & (eqbreln = $true) & (setoftrueEq = $true) & (theeq = $true) & (dpsetconstrER = $true) & (setukpairinjL = $true) & (complementT_lem = $true) & (symdiffE = $true) & (upairinpowunion = $true) & (dpsetconstrI = $true) & (nonemptyI = $true) & (funcextLem = $true) & (noeltsimpempty = $true) & (dsetconstrEL = $true) & (powersetI = $true) & (iftrueProp1 = $true) & (singletonsubset = $true) & (upairset2IR = $true)),
% 1.43/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK537,sK538,sK539,sK540])],[f959,f1870,f1869,f1868])).
% 1.43/0.62 thf(f1868,plain,(
% 1.43/0.62 ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ X0) != $true) & ((in @ X3 @ X1) = $true) & ($true = (in @ X3 @ (binintersect @ X0 @ X2)))) & ((in @ X2 @ (powerset @ X1)) = $true))) => (($true = (in @ sK537 @ (powerset @ sK538))) & ? [X2] : (? [X3] : (((in @ X3 @ sK537) != $true) & ((in @ X3 @ sK538) = $true) & ((in @ X3 @ (binintersect @ sK537 @ X2)) = $true)) & ((in @ X2 @ (powerset @ sK538)) = $true)))),
% 1.43/0.62 introduced(choice_axiom,[])).
% 1.43/0.62 thf(f1869,plain,(
% 1.43/0.62 ? [X2] : (? [X3] : (((in @ X3 @ sK537) != $true) & ((in @ X3 @ sK538) = $true) & ((in @ X3 @ (binintersect @ sK537 @ X2)) = $true)) & ((in @ X2 @ (powerset @ sK538)) = $true)) => (? [X3] : (((in @ X3 @ sK537) != $true) & ((in @ X3 @ sK538) = $true) & ((in @ X3 @ (binintersect @ sK537 @ sK539)) = $true)) & ((in @ sK539 @ (powerset @ sK538)) = $true))),
% 1.43/0.62 introduced(choice_axiom,[])).
% 1.43/0.62 thf(f1870,plain,(
% 1.43/0.62 ? [X3] : (((in @ X3 @ sK537) != $true) & ((in @ X3 @ sK538) = $true) & ((in @ X3 @ (binintersect @ sK537 @ sK539)) = $true)) => (((in @ sK540 @ sK537) != $true) & ((in @ sK540 @ sK538) = $true) & ((in @ sK540 @ (binintersect @ sK537 @ sK539)) = $true))),
% 1.43/0.62 introduced(choice_axiom,[])).
% 1.43/0.62 thf(f959,plain,(
% 1.43/0.62 (setextAx = $true) & (subPowSU = $true) & (setminusSubset1 = $true) & (exuE3u = $true) & (funcext = $true) & (vacuousDall = $true) & (emptyinPowerset = $true) & (subbreln = $true) & (singletonsuniq = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan4 = $true) & (exuI2 = $true) & (uniqinunit = $true) & (cartprodmempair1 = $true) & (setbeta = $true) & (binintersectSubset4 = $true) & (iffalseProp2 = $true) & (binintersectRsub = $true) & (exuE2 = $true) & (setunionsingleton = $true) & (emptysetE = $true) & (notdexE = $true) & (emptysetAx = $true) & (setext = $true) & (cartprodsndin = $true) & (powerset__Cong = $true) & (emptyI = $true) & (iftrueorfalse = $true) & (setminusIRneg = $true) & (emptyInPowerset = $true) & (ubforcartprodlem2 = $true) & (setminusEL = $true) & (kpairiskpair = $true) & (setukpairinjR12 = $true) & (setukpairinjR = $true) & (setOfPairsIsBReln = $true) & (quantDeMorgan2 = $true) & (setextsub = $true) & (exuEu = $true) & (ksndsingleton = $true) & (singletonprop = $true) & (setunionAx = $true) & (ex1E2 = $true) & (complementTE1 = $true) & (wellorderingAx = $true) & (binunionIR = $true) & (setukpairinjR11 = $true) & (singletoninpowerset = $true) & (symdiffI2 = $true) & (cartprodpairsurjEq = $true) & (notequalI2 = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (subset2powerset = $true) & (setunionsingleton2 = $true) & (nonemptyImpWitness = $true) & (eqimpsubset2 = $true) & (ex1E1 = $true) & (funcinfuncset = $true) & (binintersectER = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (dpsetconstrERa = $true) & (kfstpairEq = $true) & (binintersectI = $true) & (cartprodsndpairEq = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (funcGraphProp1 = $true) & (setminusLsub = $true) & (setadjoinSub = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem1 = $true) & (binunionIL = $true) & (setunionE = $true) & (powersetTE1 = $true) & (setadjoinE = $true) & (descr__Cong = $true) & (nonemptyI1 = $true) & (emptyinunitempty = $true) & (prop2set2propI = $true) & (setukpairinjL1 = $true) & (upairsetIR = $true) & (binintersectSubset2 = $true) & (funcext2 = $true) & (setadjoinOr = $true) & (setadjoinIL = $true) & (powersetsubset = $true) & (kpairsurjEq = $true) & (exuE1 = $true) & (exuE3e = $true) & (binunionE = $true) & (quantDeMorgan3 = $true) & (brelnall2 = $true) & (upairequniteq = $true) & (dsetconstrI = $true) & (brelnall1 = $true) & (dsetconstr__Cong = $true) & (emptysetimpfalse = $true) & (binunionT_lem = $true) & (lam2lamEq = $true) & (funcGraphProp4 = $true) & (notinemptyset = $true) & (disjointsetsI1 = $true) & (nonemptyE1 = $true) & (powersetE = $true) & (binintersectSubset3 = $true) & (setukpairIL = $true) & (binintersectEL = $true) & (cartprodmempaircEq = $true) & (complementTI1 = $true) & (sepInPowerset = $true) & (binintersectSubset1 = $true) & (setminusELneg = $true) & (subsetRefl = $true) & (emptysetsubset = $true) & (omega0Ax = $true) & (subsetTrans = $true) & (prop2setE = $true) & (setadjoinSub2 = $true) & (ksndpairEq = $true) & (eta2 = $true) & (ap2apEq2 = $true) & (app = $true) & (powersetE1 = $true) & (apProp = $true) & (subsetI2 = $true) & (binintersectSubset5 = $true) & (symdiffI1 = $true) & (powersetI1 = $true) & (iffalseProp1 = $true) & (emptyE1 = $true) & (lam2p = $true) & (ifSingleton = $true) & (subsetemptysetimpeq = $true) & (singletoninpowunion = $true) & (exu__Cong = $true) & (powersetT_lem = $true) & (funcGraphProp3 = $true) & (replAx = $true) & (setextT = $true) & (subsetE = $true) & (beta1 = $true) & (ap2p = $true) & (eqinunit = $true) & (upairsubunion = $true) & (setadjoinAx = $true) & (kfstsingleton = $true) & (exuI3 = $true) & (quantDeMorgan1 = $true) & (funcImageSingleton = $true) & (cartprodfstpairEq = $true) & (setunionE2 = $true) & (setminusILneg = $true) & (ubforcartprodlem3 = $true) & (omega__Cong = $true) & (upairsetIL = $true) & (iftrue = $true) & (infuncsetfunc = $true) & (setukpairIR = $true) & (cartprodpairin = $true) & (binunionRsub = $true) & (omegaSAx = $true) & (binunionEcases = $true) & (lamp = $true) & (bs114d = $true) & (prop2setI = $true) & (inCongP = $true) & (symdiffIneg1 = $true) & (binunionLsub = $true) & (notsubsetI = $true) & (descrp = $true) & (symdiffIneg2 = $true) & (cartprodmempair = $true) & ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ X0) != $true) & ((in @ X3 @ X1) = $true) & ($true = (in @ X3 @ (binintersect @ X0 @ X2)))) & ((in @ X2 @ (powerset @ X1)) = $true))) & (cartprodpairmemER = $true) & (setadjoinIR = $true) & (subsetTI = $true) & (subsetE2 = $true) & (secondinupair = $true) & (funcGraphProp2 = $true) & (iffalse = $true) & (upairsetE = $true) & (setukpairinjR1 = $true) & (setminusI = $true) & (beta2 = $true) & (notequalI1 = $true) & (powersetTI1 = $true) & (in__Cong = $true) & (notdallE = $true) & (dpsetconstrSub = $true) & (ex1I2 = $true) & (foundationAx = $true) & (setminusT_lem = $true) & (sepSubset = $true) & (ifp = $true) & (emptyset__Cong = $true) & (inPowerset = $true) & (dpsetconstrEL2 = $true) & (cartprodfstin = $true) & (setunionsingleton1 = $true) & (setukpairinjR2 = $true) & (ex1I = $true) & (setminusER = $true) & (ap2apEq1 = $true) & (iftrueProp2 = $true) & (setminusSubset2 = $true) & (setminusERneg = $true) & (binintersectLsub = $true) & (notinsingleton = $true) & (eta1 = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (setukpairinjL2 = $true) & (theprop = $true) & (binintersectT_lem = $true) & (kpairp = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (exuI1 = $true) & (lamProp = $true) & (eqbreln = $true) & (setoftrueEq = $true) & (theeq = $true) & (dpsetconstrER = $true) & (setukpairinjL = $true) & (complementT_lem = $true) & (symdiffE = $true) & (upairinpowunion = $true) & (dpsetconstrI = $true) & (nonemptyI = $true) & (funcextLem = $true) & (noeltsimpempty = $true) & (dsetconstrEL = $true) & (powersetI = $true) & (iftrueProp1 = $true) & (singletonsubset = $true) & (upairset2IR = $true)),
% 1.43/0.62 inference(flattening,[],[f958])).
% 1.43/0.62 thf(f958,plain,(
% 1.43/0.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true = (in @ X3 @ (binintersect @ X0 @ X2))) & ((in @ X3 @ X0) != $true)) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true)) & ((in @ X0 @ (powerset @ X1)) = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.43/0.62 inference(ennf_transformation,[],[f752])).
% 1.43/0.62 thf(f752,plain,(
% 1.43/0.62 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (((in @ X3 @ X0) != $true) => ($true != (in @ X3 @ (binintersect @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.43/0.62 inference(flattening,[],[f558])).
% 1.43/0.62 thf(f558,plain,(
% 1.43/0.62 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (~((in @ X3 @ X0) = $true) => ~($true = (in @ X3 @ (binintersect @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.43/0.62 inference(fool_elimination,[],[f557])).
% 1.43/0.62 thf(f557,plain,(
% 1.43/0.62 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => (~(in @ X3 @ X0) => ~(in @ X3 @ (binintersect @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.43/0.62 inference(rectify,[],[f243])).
% 1.43/0.62 thf(f243,negated_conjecture,(
% 1.43/0.62 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ X11) => ~(in @ X1 @ (binintersect @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.43/0.62 inference(negated_conjecture,[],[f242])).
% 1.43/0.62 thf(f242,conjecture,(
% 1.43/0.62 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ X11) => ~(in @ X1 @ (binintersect @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.43/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectTELcontra)).
% 1.43/0.62 thf(f3742,plain,(
% 1.43/0.62 spl751_8),
% 1.43/0.62 inference(avatar_split_clause,[],[f3678,f3697])).
% 1.43/0.62 thf(f3678,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) = $true)),
% 1.43/0.62 inference(trivial_inequality_removal,[],[f3677])).
% 1.43/0.62 thf(f3677,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) = $true) | ($true != $true)),
% 1.43/0.62 inference(forward_demodulation,[],[f3676,f3029])).
% 1.43/0.62 thf(f3029,plain,(
% 1.43/0.62 (binintersectEL = $true)),
% 1.43/0.62 inference(cnf_transformation,[],[f1871])).
% 1.43/0.62 thf(f3676,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) = $true) | (binintersectEL != $true)),
% 1.43/0.62 inference(trivial_inequality_removal,[],[f3669])).
% 1.43/0.62 thf(f3669,plain,(
% 1.43/0.62 ((in @ sK540 @ sK537) = $true) | (binintersectEL != $true) | ($true != $true)),
% 1.43/0.62 inference(superposition,[],[f3309,f2960])).
% 1.43/0.62 thf(f2960,plain,(
% 1.43/0.62 ((in @ sK540 @ (binintersect @ sK537 @ sK539)) = $true)),
% 1.43/0.62 inference(cnf_transformation,[],[f1871])).
% 1.43/0.62 thf(f3309,plain,(
% 1.43/0.62 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true) | (binintersectEL != $true)) )),
% 1.43/0.62 inference(cnf_transformation,[],[f2085])).
% 1.43/0.62 thf(f2085,plain,(
% 1.43/0.62 ((binintersectEL = $true) | (($true = (in @ sK682 @ (binintersect @ sK681 @ sK680))) & ((in @ sK682 @ sK681) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true)) | (binintersectEL != $true))),
% 1.43/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK680,sK681,sK682])],[f2083,f2084])).
% 1.43/0.62 thf(f2084,plain,(
% 1.43/0.62 ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true)) => (($true = (in @ sK682 @ (binintersect @ sK681 @ sK680))) & ((in @ sK682 @ sK681) != $true))),
% 1.43/0.62 introduced(choice_axiom,[])).
% 1.43/0.62 thf(f2083,plain,(
% 1.43/0.62 ((binintersectEL = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ (binintersect @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true)) | (binintersectEL != $true))),
% 1.43/0.62 inference(rectify,[],[f2082])).
% 1.43/0.62 thf(f2082,plain,(
% 1.43/0.62 ((binintersectEL = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) != $true) | ((in @ X2 @ X1) = $true)) | (binintersectEL != $true))),
% 1.43/0.62 inference(nnf_transformation,[],[f963])).
% 1.43/0.62 thf(f963,plain,(
% 1.43/0.62 (binintersectEL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) != $true) | ((in @ X2 @ X1) = $true))),
% 1.43/0.62 inference(ennf_transformation,[],[f308])).
% 1.43/0.62 thf(f308,plain,(
% 1.43/0.62 ! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) => ((in @ X2 @ X1) = $true)) <=> (binintersectEL = $true)),
% 1.43/0.62 inference(fool_elimination,[],[f307])).
% 1.43/0.62 thf(f307,plain,(
% 1.43/0.62 (binintersectEL = ! [X0,X1,X2] : ((in @ X2 @ (binintersect @ X1 @ X0)) => (in @ X2 @ X1)))),
% 1.43/0.62 inference(rectify,[],[f110])).
% 1.43/0.62 thf(f110,axiom,(
% 1.43/0.62 (binintersectEL = ! [X4,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X3)))),
% 1.43/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectEL)).
% 1.43/0.62 % SZS output end Proof for theBenchmark
% 1.43/0.62 % (26317)------------------------------
% 1.43/0.62 % (26317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.62 % (26317)Termination reason: Refutation
% 1.43/0.62
% 1.43/0.62 % (26317)Memory used [KB]: 9850
% 1.43/0.62 % (26317)Time elapsed: 0.166 s
% 1.43/0.62 % (26317)Instructions burned: 292 (million)
% 1.43/0.62 % (26317)------------------------------
% 1.43/0.62 % (26317)------------------------------
% 1.43/0.62 % (26294)Success in time 0.255 s
% 1.43/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------