TSTP Solution File: SEU727^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU727^1 : 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 : n006.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 03:51:04 EDT 2024
% Result : Theorem 2.66s 0.79s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU727^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % 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
% 0.14/0.36 % Computer : n006.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 16:13:08 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
% 0.23/0.42 % (27745)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)
% 0.23/0.42 % (27742)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)
% 0.23/0.43 % (27744)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)
% 0.23/0.43 % (27744)Instruction limit reached!
% 0.23/0.43 % (27744)------------------------------
% 0.23/0.43 % (27744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (27744)Termination reason: Unknown
% 0.23/0.43 % (27744)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (27744)Memory used [KB]: 1407
% 0.23/0.43 % (27744)Time elapsed: 0.004 s
% 0.23/0.43 % (27744)Instructions burned: 3 (million)
% 0.23/0.43 % (27744)------------------------------
% 0.23/0.43 % (27744)------------------------------
% 0.23/0.43 % (27746)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.43 % (27743)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.43 % (27740)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.43 % (27741)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)
% 0.23/0.43 % (27743)Instruction limit reached!
% 0.23/0.43 % (27743)------------------------------
% 0.23/0.43 % (27743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (27743)Termination reason: Unknown
% 0.23/0.43 % (27743)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (27743)Memory used [KB]: 1407
% 0.23/0.43 % (27743)Time elapsed: 0.004 s
% 0.23/0.43 % (27743)Instructions burned: 2 (million)
% 0.23/0.43 % (27743)------------------------------
% 0.23/0.43 % (27743)------------------------------
% 0.23/0.43 % (27747)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)
% 0.23/0.43 % (27747)Instruction limit reached!
% 0.23/0.43 % (27747)------------------------------
% 0.23/0.43 % (27747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (27741)Instruction limit reached!
% 0.23/0.43 % (27741)------------------------------
% 0.23/0.43 % (27741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (27741)Termination reason: Unknown
% 0.23/0.43 % (27741)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (27741)Memory used [KB]: 1407
% 0.23/0.43 % (27741)Time elapsed: 0.006 s
% 0.23/0.43 % (27741)Instructions burned: 4 (million)
% 0.23/0.43 % (27741)------------------------------
% 0.23/0.43 % (27741)------------------------------
% 0.23/0.43 % (27747)Termination reason: Unknown
% 0.23/0.43 % (27747)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (27747)Memory used [KB]: 1407
% 0.23/0.43 % (27747)Time elapsed: 0.005 s
% 0.23/0.43 % (27747)Instructions burned: 3 (million)
% 0.23/0.43 % (27747)------------------------------
% 0.23/0.43 % (27747)------------------------------
% 0.23/0.44 % (27742)Instruction limit reached!
% 0.23/0.44 % (27742)------------------------------
% 0.23/0.44 % (27742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (27742)Termination reason: Unknown
% 0.23/0.44 % (27742)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (27742)Memory used [KB]: 1918
% 0.23/0.44 % (27742)Time elapsed: 0.017 s
% 0.23/0.44 % (27742)Instructions burned: 27 (million)
% 0.23/0.44 % (27742)------------------------------
% 0.23/0.44 % (27742)------------------------------
% 0.23/0.44 % (27746)Instruction limit reached!
% 0.23/0.44 % (27746)------------------------------
% 0.23/0.44 % (27746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (27746)Termination reason: Unknown
% 0.23/0.44 % (27746)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (27746)Memory used [KB]: 1791
% 0.23/0.44 % (27746)Time elapsed: 0.014 s
% 0.23/0.44 % (27746)Instructions burned: 18 (million)
% 0.23/0.44 % (27746)------------------------------
% 0.23/0.44 % (27746)------------------------------
% 0.23/0.44 % (27748)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)
% 0.23/0.45 % (27749)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)
% 0.23/0.45 % (27750)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)
% 0.23/0.45 % (27751)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)
% 0.23/0.45 % (27750)Instruction limit reached!
% 0.23/0.45 % (27750)------------------------------
% 0.23/0.45 % (27750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (27750)Termination reason: Unknown
% 0.23/0.45 % (27750)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (27750)Memory used [KB]: 1407
% 0.23/0.45 % (27750)Time elapsed: 0.004 s
% 0.23/0.45 % (27750)Instructions burned: 4 (million)
% 0.23/0.45 % (27750)------------------------------
% 0.23/0.45 % (27750)------------------------------
% 0.23/0.45 % (27752)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.46 % (27749)Instruction limit reached!
% 0.23/0.46 % (27749)------------------------------
% 0.23/0.46 % (27749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (27753)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.46 % (27749)Termination reason: Unknown
% 0.23/0.46 % (27749)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (27749)Memory used [KB]: 1663
% 0.23/0.46 % (27749)Time elapsed: 0.011 s
% 0.23/0.46 % (27749)Instructions burned: 15 (million)
% 0.23/0.46 % (27749)------------------------------
% 0.23/0.46 % (27749)------------------------------
% 0.23/0.46 % (27752)Instruction limit reached!
% 0.23/0.46 % (27752)------------------------------
% 0.23/0.46 % (27752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (27752)Termination reason: Unknown
% 0.23/0.46 % (27752)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (27752)Memory used [KB]: 1535
% 0.23/0.46 % (27752)Time elapsed: 0.005 s
% 0.23/0.46 % (27752)Instructions burned: 7 (million)
% 0.23/0.46 % (27752)------------------------------
% 0.23/0.46 % (27752)------------------------------
% 0.23/0.46 % (27748)Instruction limit reached!
% 0.23/0.46 % (27748)------------------------------
% 0.23/0.46 % (27748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (27748)Termination reason: Unknown
% 0.23/0.46 % (27748)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (27748)Memory used [KB]: 2174
% 0.23/0.46 % (27748)Time elapsed: 0.021 s
% 0.23/0.46 % (27748)Instructions burned: 37 (million)
% 0.23/0.46 % (27748)------------------------------
% 0.23/0.46 % (27748)------------------------------
% 0.23/0.46 % (27753)Instruction limit reached!
% 0.23/0.46 % (27753)------------------------------
% 0.23/0.46 % (27753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (27753)Termination reason: Unknown
% 0.23/0.46 % (27753)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (27753)Memory used [KB]: 1663
% 0.23/0.46 % (27753)Time elapsed: 0.010 s
% 0.23/0.46 % (27753)Instructions burned: 16 (million)
% 0.23/0.46 % (27753)------------------------------
% 0.23/0.46 % (27753)------------------------------
% 0.23/0.47 % (27754)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)
% 0.23/0.47 % (27754)Instruction limit reached!
% 0.23/0.47 % (27754)------------------------------
% 0.23/0.47 % (27754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (27754)Termination reason: Unknown
% 0.23/0.47 % (27754)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (27754)Memory used [KB]: 1407
% 0.23/0.47 % (27754)Time elapsed: 0.004 s
% 0.23/0.47 % (27754)Instructions burned: 4 (million)
% 0.23/0.47 % (27754)------------------------------
% 0.23/0.47 % (27754)------------------------------
% 0.23/0.47 % (27755)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)
% 0.23/0.47 % (27756)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)
% 0.23/0.47 % (27755)Instruction limit reached!
% 0.23/0.47 % (27755)------------------------------
% 0.23/0.47 % (27755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (27755)Termination reason: Unknown
% 0.23/0.47 % (27755)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (27755)Memory used [KB]: 1407
% 0.23/0.47 % (27755)Time elapsed: 0.004 s
% 0.23/0.47 % (27755)Instructions burned: 4 (million)
% 0.23/0.47 % (27755)------------------------------
% 0.23/0.47 % (27755)------------------------------
% 0.23/0.48 % (27756)Instruction limit reached!
% 0.23/0.48 % (27756)------------------------------
% 0.23/0.48 % (27756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (27756)Termination reason: Unknown
% 0.23/0.48 % (27756)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (27756)Memory used [KB]: 1535
% 0.23/0.48 % (27756)Time elapsed: 0.005 s
% 0.23/0.48 % (27756)Instructions burned: 7 (million)
% 0.23/0.48 % (27756)------------------------------
% 0.23/0.48 % (27756)------------------------------
% 0.23/0.48 % (27757)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)
% 0.23/0.48 % (27758)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.48 % (27757)Instruction limit reached!
% 0.23/0.48 % (27757)------------------------------
% 0.23/0.48 % (27757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (27757)Termination reason: Unknown
% 0.23/0.48 % (27757)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (27757)Memory used [KB]: 1407
% 0.23/0.48 % (27757)Time elapsed: 0.003 s
% 0.23/0.48 % (27757)Instructions burned: 3 (million)
% 0.23/0.48 % (27757)------------------------------
% 0.23/0.48 % (27757)------------------------------
% 0.23/0.48 % (27758)Instruction limit reached!
% 0.23/0.48 % (27758)------------------------------
% 0.23/0.48 % (27758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (27758)Termination reason: Unknown
% 0.23/0.48 % (27758)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (27758)Memory used [KB]: 1407
% 0.23/0.48 % (27758)Time elapsed: 0.004 s
% 0.23/0.48 % (27758)Instructions burned: 4 (million)
% 0.23/0.48 % (27758)------------------------------
% 0.23/0.48 % (27758)------------------------------
% 0.23/0.48 % (27759)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 (2998ds/18Mi)
% 0.23/0.49 % (27760)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.23/0.49 % (27761)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.23/0.49 % (27759)Instruction limit reached!
% 0.23/0.49 % (27759)------------------------------
% 0.23/0.49 % (27759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (27759)Termination reason: Unknown
% 0.23/0.49 % (27759)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (27759)Memory used [KB]: 1791
% 0.23/0.49 % (27759)Time elapsed: 0.012 s
% 0.23/0.49 % (27759)Instructions burned: 19 (million)
% 0.23/0.49 % (27759)------------------------------
% 0.23/0.49 % (27759)------------------------------
% 0.23/0.50 % (27761)Instruction limit reached!
% 0.23/0.50 % (27761)------------------------------
% 0.23/0.50 % (27761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (27761)Termination reason: Unknown
% 0.23/0.50 % (27761)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (27761)Memory used [KB]: 1535
% 0.23/0.50 % (27761)Time elapsed: 0.005 s
% 0.23/0.50 % (27761)Instructions burned: 7 (million)
% 0.23/0.50 % (27761)------------------------------
% 0.23/0.50 % (27761)------------------------------
% 0.23/0.50 % (27762)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2998ds/902Mi)
% 0.23/0.50 % (27763)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.23/0.51 % (27763)Instruction limit reached!
% 0.23/0.51 % (27763)------------------------------
% 0.23/0.51 % (27763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (27763)Termination reason: Unknown
% 0.23/0.51 % (27763)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (27763)Memory used [KB]: 1791
% 0.23/0.51 % (27763)Time elapsed: 0.013 s
% 0.23/0.51 % (27763)Instructions burned: 21 (million)
% 0.23/0.51 % (27763)------------------------------
% 0.23/0.51 % (27763)------------------------------
% 0.23/0.51 % (27764)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.51 % (27765)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)
% 0.23/0.51 % (27764)Instruction limit reached!
% 0.23/0.51 % (27764)------------------------------
% 0.23/0.51 % (27764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (27764)Termination reason: Unknown
% 0.23/0.51 % (27764)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (27764)Memory used [KB]: 1535
% 0.23/0.51 % (27764)Time elapsed: 0.004 s
% 0.23/0.51 % (27764)Instructions burned: 5 (million)
% 0.23/0.51 % (27764)------------------------------
% 0.23/0.51 % (27764)------------------------------
% 0.23/0.51 % (27765)Instruction limit reached!
% 0.23/0.51 % (27765)------------------------------
% 0.23/0.51 % (27765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (27765)Termination reason: Unknown
% 0.23/0.51 % (27765)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (27765)Memory used [KB]: 1535
% 0.23/0.51 % (27765)Time elapsed: 0.005 s
% 0.23/0.51 % (27765)Instructions burned: 7 (million)
% 0.23/0.51 % (27765)------------------------------
% 0.23/0.51 % (27765)------------------------------
% 0.23/0.52 % (27766)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.53 % (27767)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)
% 0.23/0.53 % (27768)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)
% 0.23/0.54 % (27740)Instruction limit reached!
% 0.23/0.54 % (27740)------------------------------
% 0.23/0.54 % (27740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (27740)Termination reason: Unknown
% 0.23/0.54 % (27740)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (27740)Memory used [KB]: 7547
% 0.23/0.54 % (27740)Time elapsed: 0.098 s
% 0.23/0.54 % (27740)Instructions burned: 184 (million)
% 0.23/0.54 % (27740)------------------------------
% 0.23/0.54 % (27740)------------------------------
% 0.23/0.54 % (27768)Instruction limit reached!
% 0.23/0.54 % (27768)------------------------------
% 0.23/0.54 % (27768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (27768)Termination reason: Unknown
% 0.23/0.54 % (27768)Termination phase: shuffling
% 0.23/0.54
% 0.23/0.54 % (27768)Memory used [KB]: 1791
% 0.23/0.54 % (27768)Time elapsed: 0.012 s
% 0.23/0.54 % (27768)Instructions burned: 19 (million)
% 0.23/0.54 % (27768)------------------------------
% 0.23/0.54 % (27768)------------------------------
% 1.27/0.56 % (27769)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)
% 1.27/0.56 % (27770)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.37/0.57 % (27770)Instruction limit reached!
% 1.37/0.57 % (27770)------------------------------
% 1.37/0.57 % (27770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.57 % (27770)Termination reason: Unknown
% 1.37/0.57 % (27770)Termination phase: shuffling
% 1.37/0.57
% 1.37/0.57 % (27770)Memory used [KB]: 1791
% 1.37/0.57 % (27770)Time elapsed: 0.011 s
% 1.37/0.57 % (27770)Instructions burned: 17 (million)
% 1.37/0.57 % (27770)------------------------------
% 1.37/0.57 % (27770)------------------------------
% 1.37/0.58 % (27745)Instruction limit reached!
% 1.37/0.58 % (27745)------------------------------
% 1.37/0.58 % (27745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.58 % (27745)Termination reason: Unknown
% 1.37/0.58 % (27745)Termination phase: Saturation
% 1.37/0.58
% 1.37/0.58 % (27745)Memory used [KB]: 9466
% 1.37/0.58 % (27745)Time elapsed: 0.157 s
% 1.37/0.58 % (27745)Instructions burned: 276 (million)
% 1.37/0.58 % (27745)------------------------------
% 1.37/0.58 % (27745)------------------------------
% 1.37/0.58 % (27771)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.37/0.58 % (27771)Instruction limit reached!
% 1.37/0.58 % (27771)------------------------------
% 1.37/0.58 % (27771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.58 % (27771)Termination reason: Unknown
% 1.37/0.58 % (27771)Termination phase: shuffling
% 1.37/0.58
% 1.37/0.59 % (27771)Memory used [KB]: 1407
% 1.37/0.59 % (27771)Time elapsed: 0.003 s
% 1.37/0.59 % (27771)Instructions burned: 3 (million)
% 1.37/0.59 % (27771)------------------------------
% 1.37/0.59 % (27771)------------------------------
% 1.37/0.59 % (27772)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 1.37/0.60 % (27773)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 (2997ds/127Mi)
% 1.37/0.61 % (27772)Instruction limit reached!
% 1.37/0.61 % (27772)------------------------------
% 1.37/0.61 % (27772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.61 % (27772)Termination reason: Unknown
% 1.37/0.61 % (27772)Termination phase: shuffling
% 1.37/0.61
% 1.37/0.61 % (27772)Memory used [KB]: 2046
% 1.37/0.61 % (27772)Time elapsed: 0.018 s
% 1.37/0.61 % (27772)Instructions burned: 31 (million)
% 1.37/0.61 % (27772)------------------------------
% 1.37/0.61 % (27772)------------------------------
% 1.37/0.63 % (27774)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)
% 1.87/0.66 % (27773)Instruction limit reached!
% 1.87/0.66 % (27773)------------------------------
% 1.87/0.66 % (27773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.87/0.66 % (27773)Termination reason: Unknown
% 1.87/0.66 % (27773)Termination phase: Property scanning
% 1.87/0.66
% 1.87/0.66 % (27773)Memory used [KB]: 2558
% 1.87/0.66 % (27773)Time elapsed: 0.065 s
% 1.87/0.66 % (27773)Instructions burned: 127 (million)
% 1.87/0.66 % (27773)------------------------------
% 1.87/0.66 % (27773)------------------------------
% 2.12/0.68 % (27774)Instruction limit reached!
% 2.12/0.68 % (27774)------------------------------
% 2.12/0.68 % (27774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.68 % (27774)Termination reason: Unknown
% 2.12/0.68 % (27774)Termination phase: Function definition elimination
% 2.12/0.68
% 2.12/0.68 % (27774)Memory used [KB]: 2558
% 2.12/0.68 % (27774)Time elapsed: 0.054 s
% 2.12/0.68 % (27774)Instructions burned: 101 (million)
% 2.12/0.68 % (27774)------------------------------
% 2.12/0.68 % (27774)------------------------------
% 2.12/0.68 % (27775)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 2.12/0.68 % (27775)Instruction limit reached!
% 2.12/0.68 % (27775)------------------------------
% 2.12/0.68 % (27775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.68 % (27775)Termination reason: Unknown
% 2.12/0.68 % (27775)Termination phase: shuffling
% 2.12/0.68
% 2.12/0.68 % (27775)Memory used [KB]: 1407
% 2.12/0.68 % (27775)Time elapsed: 0.004 s
% 2.12/0.68 % (27775)Instructions burned: 4 (million)
% 2.12/0.68 % (27775)------------------------------
% 2.12/0.68 % (27775)------------------------------
% 2.12/0.69 % (27776)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 (2996ds/20Mi)
% 2.12/0.70 % (27777)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 (2996ds/86Mi)
% 2.12/0.71 % (27776)Instruction limit reached!
% 2.12/0.71 % (27776)------------------------------
% 2.12/0.71 % (27776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.71 % (27776)Termination reason: Unknown
% 2.12/0.71 % (27776)Termination phase: shuffling
% 2.12/0.71
% 2.12/0.71 % (27776)Memory used [KB]: 1791
% 2.12/0.71 % (27776)Time elapsed: 0.014 s
% 2.12/0.71 % (27776)Instructions burned: 21 (million)
% 2.12/0.71 % (27776)------------------------------
% 2.12/0.71 % (27776)------------------------------
% 2.12/0.72 % (27778)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2996ds/107Mi)
% 2.12/0.72 % (27766)Instruction limit reached!
% 2.12/0.72 % (27766)------------------------------
% 2.12/0.72 % (27766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.72 % (27766)Termination reason: Unknown
% 2.12/0.72 % (27766)Termination phase: Saturation
% 2.12/0.72
% 2.12/0.72 % (27766)Memory used [KB]: 9338
% 2.12/0.72 % (27766)Time elapsed: 0.202 s
% 2.12/0.73 % (27766)Instructions burned: 377 (million)
% 2.12/0.73 % (27766)------------------------------
% 2.12/0.73 % (27766)------------------------------
% 2.52/0.74 % (27777)Instruction limit reached!
% 2.52/0.74 % (27777)------------------------------
% 2.52/0.74 % (27777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.74 % (27777)Termination reason: Unknown
% 2.52/0.74 % (27777)Termination phase: Property scanning
% 2.52/0.74
% 2.52/0.74 % (27777)Memory used [KB]: 2430
% 2.52/0.74 % (27777)Time elapsed: 0.045 s
% 2.52/0.74 % (27777)Instructions burned: 86 (million)
% 2.52/0.74 % (27777)------------------------------
% 2.52/0.74 % (27777)------------------------------
% 2.52/0.74 % (27779)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.66/0.76 % (27780)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 2.66/0.76 % (27779)Instruction limit reached!
% 2.66/0.76 % (27779)------------------------------
% 2.66/0.76 % (27779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.76 % (27779)Termination reason: Unknown
% 2.66/0.76 % (27779)Termination phase: shuffling
% 2.66/0.76
% 2.66/0.76 % (27779)Memory used [KB]: 2174
% 2.66/0.76 % (27779)Time elapsed: 0.021 s
% 2.66/0.76 % (27779)Instructions burned: 39 (million)
% 2.66/0.76 % (27779)------------------------------
% 2.66/0.76 % (27779)------------------------------
% 2.66/0.77 % (27778)Instruction limit reached!
% 2.66/0.77 % (27778)------------------------------
% 2.66/0.77 % (27778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.77 % (27778)Termination reason: Unknown
% 2.66/0.77 % (27778)Termination phase: Property scanning
% 2.66/0.77
% 2.66/0.77 % (27778)Memory used [KB]: 2430
% 2.66/0.77 % (27778)Time elapsed: 0.052 s
% 2.66/0.77 % (27778)Instructions burned: 107 (million)
% 2.66/0.77 % (27778)------------------------------
% 2.66/0.77 % (27778)------------------------------
% 2.66/0.78 % (27781)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.66/0.79 % (27782)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.66/0.79 % (27762)First to succeed.
% 2.66/0.79 % (27762)Refutation found. Thanks to Tanya!
% 2.66/0.79 % SZS status Theorem for theBenchmark
% 2.66/0.79 % SZS output start Proof for theBenchmark
% 2.66/0.79 thf(func_def_0, type, in: $i > $i > $o).
% 2.66/0.79 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.66/0.79 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.66/0.79 thf(func_def_8, type, powerset: $i > $i).
% 2.66/0.79 thf(func_def_10, type, setunion: $i > $i).
% 2.66/0.79 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.66/0.79 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_26, type, prop2set: $o > $i).
% 2.66/0.79 thf(func_def_36, type, nonempty: $i > $o).
% 2.66/0.79 thf(func_def_69, type, set2prop: $i > $o).
% 2.66/0.79 thf(func_def_88, type, subset: $i > $i > $o).
% 2.66/0.79 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.66/0.79 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.66/0.79 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.66/0.79 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.66/0.79 thf(func_def_135, type, regular: $i > $o).
% 2.66/0.79 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.66/0.79 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.66/0.79 thf(func_def_153, type, iskpair: $i > $o).
% 2.66/0.79 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.66/0.79 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.66/0.79 thf(func_def_177, type, singleton: $i > $o).
% 2.66/0.79 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.66/0.79 thf(func_def_184, type, atmost1p: $i > $o).
% 2.66/0.79 thf(func_def_185, type, atleast2p: $i > $o).
% 2.66/0.79 thf(func_def_186, type, atmost2p: $i > $o).
% 2.66/0.79 thf(func_def_187, type, upairsetp: $i > $o).
% 2.66/0.79 thf(func_def_191, type, kfst: $i > $i).
% 2.66/0.79 thf(func_def_203, type, ksnd: $i > $i).
% 2.66/0.79 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.66/0.79 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.66/0.79 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.66/0.79 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.66/0.79 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.66/0.79 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.66/0.79 thf(func_def_296, type, sP1: $i > $i > $i > $o).
% 2.66/0.79 thf(func_def_297, type, sP2: $i > $i > $i > $i > $o).
% 2.66/0.79 thf(func_def_300, type, sP5: $o > $i > $i > $i > $o).
% 2.66/0.79 thf(func_def_302, type, sP7: $i > $i > $o).
% 2.66/0.79 thf(func_def_303, type, sP8: $i > $o).
% 2.66/0.79 thf(func_def_304, type, sP9: $i > $i > $o).
% 2.66/0.79 thf(func_def_305, type, sP10: $i > $i > $o).
% 2.66/0.79 thf(func_def_320, type, sK25: ($i > $i) > $i > $i > $i).
% 2.66/0.79 thf(func_def_323, type, sK28: $i > $i).
% 2.66/0.79 thf(func_def_328, type, sK33: $i > $o).
% 2.66/0.79 thf(func_def_330, type, sK35: ($i > $o) > $i).
% 2.66/0.79 thf(func_def_331, type, sK36: ($i > $o) > $i).
% 2.66/0.79 thf(func_def_332, type, sK37: $i > $i > $i).
% 2.66/0.79 thf(func_def_340, type, sK45: $i > $i).
% 2.66/0.79 thf(func_def_353, type, sK58: ($i > $o) > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_354, type, sK59: ($i > $o) > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_358, type, sK63: $i > $o).
% 2.66/0.79 thf(func_def_367, type, sK72: $i > $o).
% 2.66/0.79 thf(func_def_372, type, sK77: $i > $i > ($i > $i) > $i).
% 2.66/0.79 thf(func_def_373, type, sK78: $i > $i).
% 2.66/0.79 thf(func_def_376, type, sK81: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_385, type, sK90: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_390, type, sK95: $i > $o).
% 2.66/0.79 thf(func_def_392, type, sK97: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_399, type, sK104: $o > $i > $i > $i).
% 2.66/0.79 thf(func_def_405, type, sK110: $i > $i > $o).
% 2.66/0.79 thf(func_def_406, type, sK111: $i > $i).
% 2.66/0.79 thf(func_def_407, type, sK112: $i > $i).
% 2.66/0.79 thf(func_def_408, type, sK113: ($i > $i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_409, type, sK114: ($i > $i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_410, type, sK115: $i > ($i > $i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_411, type, sK116: $i > $i > $i).
% 2.66/0.79 thf(func_def_417, type, sK122: $i > $i > $i).
% 2.66/0.79 thf(func_def_425, type, sK130: $i > $i > $i).
% 2.66/0.79 thf(func_def_432, type, sK137: $i > $o).
% 2.66/0.79 thf(func_def_434, type, sK139: ($i > $o) > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_435, type, sK140: ($i > $o) > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_452, type, sK157: $i > $i > ($i > $i) > $i).
% 2.66/0.79 thf(func_def_453, type, sK158: $i > $i).
% 2.66/0.79 thf(func_def_482, type, sK187: $i > $o).
% 2.66/0.79 thf(func_def_484, type, sK189: ($i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_489, type, sK194: ($i > $o) > $i).
% 2.66/0.79 thf(func_def_490, type, sK195: $i > $o).
% 2.66/0.79 thf(func_def_491, type, sK196: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_495, type, sK200: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_500, type, sK205: $i > $o).
% 2.66/0.79 thf(func_def_503, type, sK208: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_504, type, sK209: $i > $o).
% 2.66/0.79 thf(func_def_511, type, sK216: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_512, type, sK217: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_513, type, sK218: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_514, type, sK219: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_528, type, sK233: $i > $o).
% 2.66/0.79 thf(func_def_530, type, sK235: $i > ($i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_542, type, sK247: $i > $o).
% 2.66/0.79 thf(func_def_543, type, sK248: $i > $o).
% 2.66/0.79 thf(func_def_544, type, sK249: ($i > $o) > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_545, type, sK250: ($i > $o) > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_546, type, sK251: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_550, type, sK255: $i > $o).
% 2.66/0.79 thf(func_def_573, type, sK278: $i > $i > $o).
% 2.66/0.79 thf(func_def_584, type, sK289: ($i > $i) > $i > $i > $i).
% 2.66/0.79 thf(func_def_587, type, sK292: $i > $i).
% 2.66/0.79 thf(func_def_602, type, sK307: $i > $o).
% 2.66/0.79 thf(func_def_625, type, sK330: $i > $o).
% 2.66/0.79 thf(func_def_626, type, sK331: $i > $o).
% 2.66/0.79 thf(func_def_627, type, sK332: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.66/0.79 thf(func_def_628, type, sK333: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.66/0.79 thf(func_def_631, type, sK336: $i > $i > $i).
% 2.66/0.79 thf(func_def_639, type, sK344: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_647, type, sK352: $i > $i > $o).
% 2.66/0.79 thf(func_def_650, type, sK355: $i > $o).
% 2.66/0.79 thf(func_def_651, type, sK356: $i > $i).
% 2.66/0.79 thf(func_def_652, type, sK357: ($i > $o) > $i).
% 2.66/0.79 thf(func_def_655, type, sK360: $i > $i > $o).
% 2.66/0.79 thf(func_def_663, type, sK368: $i > $i > ($i > $i) > $i).
% 2.66/0.79 thf(func_def_664, type, sK369: $i > $i).
% 2.66/0.79 thf(func_def_673, type, sK378: $i > $i).
% 2.66/0.79 thf(func_def_676, type, sK381: ($i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_678, type, sK383: $i > $o).
% 2.66/0.79 thf(func_def_688, type, sK393: $i > $i > $i).
% 2.66/0.79 thf(func_def_698, type, sK403: $i > $o).
% 2.66/0.79 thf(func_def_699, type, sK404: ($i > $i) > $i > $i > $i).
% 2.66/0.79 thf(func_def_702, type, sK407: $i > $i).
% 2.66/0.79 thf(func_def_704, type, sK409: $i > $i).
% 2.66/0.79 thf(func_def_715, type, sK420: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_716, type, sK421: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_723, type, sK428: $i > $o).
% 2.66/0.79 thf(func_def_725, type, sK430: ($i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_726, type, sK431: $i > $i > $i).
% 2.66/0.79 thf(func_def_727, type, sK432: $i > $i > $i).
% 2.66/0.79 thf(func_def_734, type, sK439: $i > $o).
% 2.66/0.79 thf(func_def_737, type, sK442: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_738, type, sK443: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_739, type, sK444: $i > $o).
% 2.66/0.79 thf(func_def_745, type, sK450: $i > $o).
% 2.66/0.79 thf(func_def_777, type, sK482: $i > $o).
% 2.66/0.79 thf(func_def_781, type, sK486: $i > $i).
% 2.66/0.79 thf(func_def_788, type, sK493: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_810, type, sK515: $i > $i > $o).
% 2.66/0.79 thf(func_def_840, type, sK545: $i > $i > $i).
% 2.66/0.79 thf(func_def_849, type, sK554: $i > $o).
% 2.66/0.79 thf(func_def_859, type, sK564: $i > $i > $i).
% 2.66/0.79 thf(func_def_860, type, sK565: $i > $i > $i).
% 2.66/0.79 thf(func_def_861, type, sK566: $i > $i > $i).
% 2.66/0.79 thf(func_def_862, type, sK567: $i > $i > $i).
% 2.66/0.79 thf(func_def_863, type, sK568: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_864, type, sK569: $i > $i).
% 2.66/0.79 thf(func_def_865, type, sK570: $i > $i).
% 2.66/0.79 thf(func_def_866, type, sK571: $i > $i).
% 2.66/0.79 thf(func_def_867, type, sK572: $i > $i).
% 2.66/0.79 thf(func_def_868, type, sK573: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_869, type, sK574: $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_870, type, sK575: $i > $i > $i).
% 2.66/0.79 thf(func_def_871, type, sK576: $i > $i > $i).
% 2.66/0.79 thf(func_def_872, type, sK577: $i > $i > $i).
% 2.66/0.79 thf(func_def_873, type, sK578: $i > $i).
% 2.66/0.79 thf(func_def_874, type, sK579: $i > $i > $i).
% 2.66/0.79 thf(func_def_876, type, sK581: $i > $i).
% 2.66/0.79 thf(func_def_877, type, sK582: $i > $i).
% 2.66/0.79 thf(func_def_885, type, sK590: $i > $o).
% 2.66/0.79 thf(func_def_887, type, sK592: ($i > $o) > $i > $i).
% 2.66/0.79 thf(func_def_889, type, sK594: $i > $i).
% 2.66/0.79 thf(func_def_906, type, sK611: $i > $i).
% 2.66/0.79 thf(func_def_909, type, sK614: $i > $i).
% 2.66/0.79 thf(func_def_914, type, sK619: $i > $i > $o).
% 2.66/0.79 thf(func_def_921, type, sK626: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_922, type, sK627: $i > $i > $i > $i > $i).
% 2.66/0.79 thf(func_def_925, type, sK630: $i > $o).
% 2.66/0.79 thf(func_def_926, type, sK631: $i > $o).
% 2.66/0.79 thf(func_def_929, type, sK634: $i > $o).
% 2.66/0.79 thf(func_def_932, type, sK637: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_933, type, sK638: $i > ($i > $o) > $i).
% 2.66/0.79 thf(func_def_938, type, sK643: $i > $o).
% 2.66/0.80 thf(func_def_939, type, sK644: $i > $i).
% 2.66/0.80 thf(func_def_940, type, sK645: ($i > $o) > $i).
% 2.66/0.80 thf(func_def_946, type, sK651: $i > ($i > $o) > $i).
% 2.66/0.80 thf(func_def_947, type, sK652: $i > $o).
% 2.66/0.80 thf(func_def_952, type, sK657: $i > $i > $o).
% 2.66/0.80 thf(func_def_970, type, sK675: $i > ($i > $o) > $i).
% 2.66/0.80 thf(func_def_971, type, sK676: $i > $o).
% 2.66/0.80 thf(func_def_980, type, sK685: $i > $o).
% 2.66/0.80 thf(func_def_982, type, sK687: ($i > $o) > $i > $i).
% 2.66/0.80 thf(func_def_987, type, sK692: $i > $i > $o).
% 2.66/0.80 thf(func_def_988, type, sK693: $i > $o).
% 2.66/0.80 thf(func_def_1010, type, sK715: $i > $o).
% 2.66/0.80 thf(func_def_1015, type, sK720: ($i > $o) > ($i > $o) > $i).
% 2.66/0.80 thf(func_def_1016, type, sK721: ($i > $o) > ($i > $o) > $i).
% 2.66/0.80 thf(func_def_1017, type, sK722: $i > $o).
% 2.66/0.80 thf(func_def_1018, type, sK723: $i > $o).
% 2.66/0.80 thf(func_def_1053, type, sK758: $i > $i > $i).
% 2.66/0.80 thf(func_def_1068, type, ph773: !>[X0: $tType]:(X0)).
% 2.66/0.80 thf(f5890,plain,(
% 2.66/0.80 $false),
% 2.66/0.80 inference(avatar_sat_refutation,[],[f3868,f5882])).
% 2.66/0.80 thf(f5882,plain,(
% 2.66/0.80 ~spl772_8),
% 2.66/0.80 inference(avatar_contradiction_clause,[],[f5881])).
% 2.66/0.80 thf(f5881,plain,(
% 2.66/0.80 $false | ~spl772_8),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f5871])).
% 2.66/0.80 thf(f5871,plain,(
% 2.66/0.80 ($true != $true) | ~spl772_8),
% 2.66/0.80 inference(superposition,[],[f3885,f2482])).
% 2.66/0.80 thf(f2482,plain,(
% 2.66/0.80 ($true = (in @ sK185 @ sK183))),
% 2.66/0.80 inference(cnf_transformation,[],[f1352])).
% 2.66/0.80 thf(f1352,plain,(
% 2.66/0.80 (binintersectSubset2 = $true) & (setukpairinjL2 = $true) & (setadjoinOr = $true) & (notsubsetI = $true) & (prop2setE = $true) & (brelnall1 = $true) & (setadjoinE = $true) & (cartprodpairin = $true) & (ifSingleton = $true) & (kpairp = $true) & (dsetconstrEL = $true) & (notdallE = $true) & (setextAx = $true) & (emptyI = $true) & (binintersectSubset4 = $true) & (setukpairIL = $true) & (exuI1 = $true) & (eqimpsubset2 = $true) & (bs114d = $true) & (lamp = $true) & (setminusELneg = $true) & (setunionI = $true) & (contrasubsetT1 = $true) & (setadjoin__Cong = $true) & (sepSubset = $true) & (lamProp = $true) & (omegaSAx = $true) & (binunionIL = $true) & (in__Cong = $true) & (ap2apEq2 = $true) & (subsetI1 = $true) & (secondinupair = $true) & (binintersectSubset1 = $true) & (setadjoinAx = $true) & (descrp = $true) & (apProp = $true) & (singletonprop = $true) & (eta1 = $true) & (setukpairinjR = $true) & (upairset2E = $true) & (nonemptyE1 = $true) & (symdiffIneg2 = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (dpsetconstrEL2 = $true) & (powersetAx = $true) & (ksndpairEq = $true) & (iftrueorfalse = $true) & (subsetTI = $true) & (ex1I2 = $true) & (descr__Cong = $true) & (funcext = $true) & (lam2p = $true) & (setunionE = $true) & (ex1I = $true) & (symdiffE = $true) & (setukpairinjR12 = $true) & (upairsubunion = $true) & (funcGraphProp2 = $true) & (setukpairIR = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (setukpairinjR11 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (lam2lamEq = $true) & (iftrueProp2 = $true) & (notinsingleton = $true) & (cartprodfstin = $true) & (cartprodsndpairEq = $true) & (subsetRefl = $true) & (setminusILneg = $true) & (inCongP = $true) & (binunionT_lem = $true) & (sepInPowerset = $true) & (iffalseProp1 = $true) & (nonemptyI = $true) & (ex1E2 = $true) & (setukpairinjL1 = $true) & (cartprodfstpairEq = $true) & (emptysetimpfalse = $true) & (upairinpowunion = $true) & (complementTI1 = $true) & (ap2p = $true) & (emptysetE = $true) & (binintersectT_lem = $true) & (subsetE = $true) & (cartprodpairsurjEq = $true) & (subPowSU = $true) & (omegaIndAx = $true) & (exuE3u = $true) & (setextT = $true) & (beta1 = $true) & (setminusIRneg = $true) & (notdexE = $true) & (eqimpsubset1 = $true) & (setadjoinIL = $true) & (eqinunit = $true) & (setbeta = $true) & (ksndsingleton = $true) & (cartprodpairmemER = $true) & (complementTE1 = $true) & (noeltsimpempty = $true) & (dpsetconstrERa = $true) & (infuncsetfunc = $true) & (powersetE1 = $true) & (subsetemptysetimpeq = $true) & (notinemptyset = $true) & (setminusT_lem = $true) & (iftrueProp1 = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (binintersectSubset3 = $true) & (setunionAx = $true) & (ap2apEq1 = $true) & (notequalI1 = $true) & (cartprodmempaircEq = $true) & (kpairiskpair = $true) & (upairsetIL = $true) & (powerset__Cong = $true) & (inPowerset = $true) & (funcextLem = $true) & (replAx = $true) & (setunionsingleton = $true) & (funcGraphProp4 = $true) & (foundationAx = $true) & (exuI3 = $true) & (prop2set2propI = $true) & (binintersectLsub = $true) & (binunionRsub = $true) & (funcinfuncset = $true) & (ubforcartprodlem2 = $true) & (exuE2 = $true) & (contrasubsetT3 = $true) & (binintersectTERcontra = $true) & (exuE1 = $true) & (setadjoinSub2 = $true) & (ex1E1 = $true) & (dpsetconstrER = $true) & (powersetI1 = $true) & (binintersectSubset5 = $true) & (singletonsuniq = $true) & (funcext2 = $true) & (setunion__Cong = $true) & (exuEu = $true) & (kfstsingleton = $true) & (ubforcartprodlem1 = $true) & (contrasubsetT2 = $true) & (cartprodmempair = $true) & (setext = $true) & (theprop = $true) & (dsetconstrI = $true) & (eqbreln = $true) & (powersetTE1 = $true) & (nonemptyI1 = $true) & (quantDeMorgan2 = $true) & (setunionE2 = $true) & (upairsetE = $true) & (singletoninpowunion = $true) & (theeq = $true) & (powersetT_lem = $true) & (setadjoinSub = $true) & (ifp = $true) & (omega0Ax = $true) & (funcGraphProp3 = $true) & (powersetE = $true) & (subbreln = $true) & (cartprodsndin = $true) & (upairsetIR = $true) & (emptyinPowerset = $true) & (setminusEL = $true) & (ubforcartprodlem3 = $true) & (dsetconstr__Cong = $true) & (quantDeMorgan4 = $true) & (symdiffI1 = $true) & (emptysetsubset = $true) & (exuE3e = $true) & (iftrue = $true) & (quantDeMorgan3 = $true) & (iffalseProp2 = $true) & (eta2 = $true) & (symdiffI2 = $true) & (binunionIR = $true) & (exuI2 = $true) & (setminusI = $true) & (setunionsingleton1 = $true) & (cartprodmempair1 = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (kpairsurjEq = $true) & (binintersectER = $true) & (funcGraphProp1 = $true) & (funcImageSingleton = $true) & (omega__Cong = $true) & (setextsub = $true) & (setoftrueEq = $true) & (upairequniteq = $true) & (notequalI2 = $true) & (binintersectTELcontra = $true) & (contrasubsetT = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (emptyset__Cong = $true) & (binunionLsub = $true) & (setunionsingleton2 = $true) & (dpsetconstrSub = $true) & (emptyInPowerset = $true) & (setminusSubset2 = $true) & (binintersectEL = $true) & (disjointsetsI1 = $true) & (powersetTI1 = $true) & (app = $true) & (dsetconstrER = $true) & (iffalse = $true) & (complementT_lem = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (setadjoinIR = $true) & (dpsetconstrI = $true) & (setminusER = $true) & (powersetI = $true) & (binintersectI = $true) & (subset2powerset = $true) & (beta2 = $true) & (setminusERneg = $true) & (subsetI2 = $true) & (wellorderingAx = $true) & (prop2setI = $true) & (setukpairinjR1 = $true) & (setminusSubset1 = $true) & (cartprodpairmemEL = $true) & (setukpairinjR2 = $true) & (binunionEcases = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrEL1 = $true) & (symdiffIneg1 = $true) & (singletoninpowerset = $true) & (exu__Cong = $true) & (kfstpairEq = $true) & (subsetE2 = $true) & (binunionE = $true) & (brelnall2 = $true) & ((($true != (in @ sK185 @ (setminus @ sK184 @ (setminus @ sK184 @ sK183)))) & ($true = (in @ sK185 @ sK184)) & ($true = (in @ sK185 @ sK183))) & ($true = (in @ sK183 @ (powerset @ sK184)))) & (setminusLsub = $true)),
% 2.66/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK183,sK184,sK185])],[f1038,f1351,f1350])).
% 2.66/0.80 thf(f1350,plain,(
% 2.66/0.80 ? [X0,X1] : (? [X2] : (($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ X0))) & ($true = (in @ X0 @ (powerset @ X1)))) => (? [X2] : (($true != (in @ X2 @ (setminus @ sK184 @ (setminus @ sK184 @ sK183)))) & ($true = (in @ X2 @ sK184)) & ($true = (in @ X2 @ sK183))) & ($true = (in @ sK183 @ (powerset @ sK184))))),
% 2.66/0.80 introduced(choice_axiom,[])).
% 2.66/0.80 thf(f1351,plain,(
% 2.66/0.80 ? [X2] : (($true != (in @ X2 @ (setminus @ sK184 @ (setminus @ sK184 @ sK183)))) & ($true = (in @ X2 @ sK184)) & ($true = (in @ X2 @ sK183))) => (($true != (in @ sK185 @ (setminus @ sK184 @ (setminus @ sK184 @ sK183)))) & ($true = (in @ sK185 @ sK184)) & ($true = (in @ sK185 @ sK183)))),
% 2.66/0.80 introduced(choice_axiom,[])).
% 2.66/0.80 thf(f1038,plain,(
% 2.66/0.80 (binintersectSubset2 = $true) & (setukpairinjL2 = $true) & (setadjoinOr = $true) & (notsubsetI = $true) & (prop2setE = $true) & (brelnall1 = $true) & (setadjoinE = $true) & (cartprodpairin = $true) & (ifSingleton = $true) & (kpairp = $true) & (dsetconstrEL = $true) & (notdallE = $true) & (setextAx = $true) & (emptyI = $true) & (binintersectSubset4 = $true) & (setukpairIL = $true) & (exuI1 = $true) & (eqimpsubset2 = $true) & (bs114d = $true) & (lamp = $true) & (setminusELneg = $true) & (setunionI = $true) & (contrasubsetT1 = $true) & (setadjoin__Cong = $true) & (sepSubset = $true) & (lamProp = $true) & (omegaSAx = $true) & (binunionIL = $true) & (in__Cong = $true) & (ap2apEq2 = $true) & (subsetI1 = $true) & (secondinupair = $true) & (binintersectSubset1 = $true) & (setadjoinAx = $true) & (descrp = $true) & (apProp = $true) & (singletonprop = $true) & (eta1 = $true) & (setukpairinjR = $true) & (upairset2E = $true) & (nonemptyE1 = $true) & (symdiffIneg2 = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (dpsetconstrEL2 = $true) & (powersetAx = $true) & (ksndpairEq = $true) & (iftrueorfalse = $true) & (subsetTI = $true) & (ex1I2 = $true) & (descr__Cong = $true) & (funcext = $true) & (lam2p = $true) & (setunionE = $true) & (ex1I = $true) & (symdiffE = $true) & (setukpairinjR12 = $true) & (upairsubunion = $true) & (funcGraphProp2 = $true) & (setukpairIR = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (setukpairinjR11 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (lam2lamEq = $true) & (iftrueProp2 = $true) & (notinsingleton = $true) & (cartprodfstin = $true) & (cartprodsndpairEq = $true) & (subsetRefl = $true) & (setminusILneg = $true) & (inCongP = $true) & (binunionT_lem = $true) & (sepInPowerset = $true) & (iffalseProp1 = $true) & (nonemptyI = $true) & (ex1E2 = $true) & (setukpairinjL1 = $true) & (cartprodfstpairEq = $true) & (emptysetimpfalse = $true) & (upairinpowunion = $true) & (complementTI1 = $true) & (ap2p = $true) & (emptysetE = $true) & (binintersectT_lem = $true) & (subsetE = $true) & (cartprodpairsurjEq = $true) & (subPowSU = $true) & (omegaIndAx = $true) & (exuE3u = $true) & (setextT = $true) & (beta1 = $true) & (setminusIRneg = $true) & (notdexE = $true) & (eqimpsubset1 = $true) & (setadjoinIL = $true) & (eqinunit = $true) & (setbeta = $true) & (ksndsingleton = $true) & (cartprodpairmemER = $true) & (complementTE1 = $true) & (noeltsimpempty = $true) & (dpsetconstrERa = $true) & (infuncsetfunc = $true) & (powersetE1 = $true) & (subsetemptysetimpeq = $true) & (notinemptyset = $true) & (setminusT_lem = $true) & (iftrueProp1 = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (binintersectSubset3 = $true) & (setunionAx = $true) & (ap2apEq1 = $true) & (notequalI1 = $true) & (cartprodmempaircEq = $true) & (kpairiskpair = $true) & (upairsetIL = $true) & (powerset__Cong = $true) & (inPowerset = $true) & (funcextLem = $true) & (replAx = $true) & (setunionsingleton = $true) & (funcGraphProp4 = $true) & (foundationAx = $true) & (exuI3 = $true) & (prop2set2propI = $true) & (binintersectLsub = $true) & (binunionRsub = $true) & (funcinfuncset = $true) & (ubforcartprodlem2 = $true) & (exuE2 = $true) & (contrasubsetT3 = $true) & (binintersectTERcontra = $true) & (exuE1 = $true) & (setadjoinSub2 = $true) & (ex1E1 = $true) & (dpsetconstrER = $true) & (powersetI1 = $true) & (binintersectSubset5 = $true) & (singletonsuniq = $true) & (funcext2 = $true) & (setunion__Cong = $true) & (exuEu = $true) & (kfstsingleton = $true) & (ubforcartprodlem1 = $true) & (contrasubsetT2 = $true) & (cartprodmempair = $true) & (setext = $true) & (theprop = $true) & (dsetconstrI = $true) & (eqbreln = $true) & (powersetTE1 = $true) & (nonemptyI1 = $true) & (quantDeMorgan2 = $true) & (setunionE2 = $true) & (upairsetE = $true) & (singletoninpowunion = $true) & (theeq = $true) & (powersetT_lem = $true) & (setadjoinSub = $true) & (ifp = $true) & (omega0Ax = $true) & (funcGraphProp3 = $true) & (powersetE = $true) & (subbreln = $true) & (cartprodsndin = $true) & (upairsetIR = $true) & (emptyinPowerset = $true) & (setminusEL = $true) & (ubforcartprodlem3 = $true) & (dsetconstr__Cong = $true) & (quantDeMorgan4 = $true) & (symdiffI1 = $true) & (emptysetsubset = $true) & (exuE3e = $true) & (iftrue = $true) & (quantDeMorgan3 = $true) & (iffalseProp2 = $true) & (eta2 = $true) & (symdiffI2 = $true) & (binunionIR = $true) & (exuI2 = $true) & (setminusI = $true) & (setunionsingleton1 = $true) & (cartprodmempair1 = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (kpairsurjEq = $true) & (binintersectER = $true) & (funcGraphProp1 = $true) & (funcImageSingleton = $true) & (omega__Cong = $true) & (setextsub = $true) & (setoftrueEq = $true) & (upairequniteq = $true) & (notequalI2 = $true) & (binintersectTELcontra = $true) & (contrasubsetT = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (emptyset__Cong = $true) & (binunionLsub = $true) & (setunionsingleton2 = $true) & (dpsetconstrSub = $true) & (emptyInPowerset = $true) & (setminusSubset2 = $true) & (binintersectEL = $true) & (disjointsetsI1 = $true) & (powersetTI1 = $true) & (app = $true) & (dsetconstrER = $true) & (iffalse = $true) & (complementT_lem = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (setadjoinIR = $true) & (dpsetconstrI = $true) & (setminusER = $true) & (powersetI = $true) & (binintersectI = $true) & (subset2powerset = $true) & (beta2 = $true) & (setminusERneg = $true) & (subsetI2 = $true) & (wellorderingAx = $true) & (prop2setI = $true) & (setukpairinjR1 = $true) & (setminusSubset1 = $true) & (cartprodpairmemEL = $true) & (setukpairinjR2 = $true) & (binunionEcases = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrEL1 = $true) & (symdiffIneg1 = $true) & (singletoninpowerset = $true) & (exu__Cong = $true) & (kfstpairEq = $true) & (subsetE2 = $true) & (binunionE = $true) & (brelnall2 = $true) & ? [X0,X1] : (? [X2] : (($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ X0))) & ($true = (in @ X0 @ (powerset @ X1)))) & (setminusLsub = $true)),
% 2.66/0.80 inference(flattening,[],[f1037])).
% 2.66/0.80 thf(f1037,plain,(
% 2.66/0.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X0))) & ($true = (in @ X2 @ X1))) & ($true = (in @ X0 @ (powerset @ X1)))) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 2.66/0.80 inference(ennf_transformation,[],[f592])).
% 2.66/0.80 thf(f592,plain,(
% 2.66/0.80 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (($true = (in @ X2 @ X1)) => (($true = (in @ X2 @ X0)) => ($true = (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.66/0.80 inference(fool_elimination,[],[f591])).
% 2.66/0.80 thf(f591,plain,(
% 2.66/0.80 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ X1) => ((in @ X2 @ X0) => (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.66/0.80 inference(rectify,[],[f249])).
% 2.66/0.80 thf(f249,negated_conjecture,(
% 2.66/0.80 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.66/0.80 inference(negated_conjecture,[],[f248])).
% 2.66/0.80 thf(f248,conjecture,(
% 2.66/0.80 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.66/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementI1)).
% 2.66/0.80 thf(f3885,plain,(
% 2.66/0.80 ($true != (in @ sK185 @ sK183)) | ~spl772_8),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f3884])).
% 2.66/0.80 thf(f3884,plain,(
% 2.66/0.80 ($true != (in @ sK185 @ sK183)) | ($true != $true) | ~spl772_8),
% 2.66/0.80 inference(forward_demodulation,[],[f3883,f2507])).
% 2.66/0.80 thf(f2507,plain,(
% 2.66/0.80 (setminusER = $true)),
% 2.66/0.80 inference(cnf_transformation,[],[f1352])).
% 2.66/0.80 thf(f3883,plain,(
% 2.66/0.80 (setminusER != $true) | ($true != (in @ sK185 @ sK183)) | ~spl772_8),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f3871])).
% 2.66/0.80 thf(f3871,plain,(
% 2.66/0.80 ($true != $true) | ($true != (in @ sK185 @ sK183)) | (setminusER != $true) | ~spl772_8),
% 2.66/0.80 inference(superposition,[],[f2467,f3791])).
% 2.66/0.80 thf(f3791,plain,(
% 2.66/0.80 ($true = (in @ sK185 @ (setminus @ sK184 @ sK183))) | ~spl772_8),
% 2.66/0.80 inference(avatar_component_clause,[],[f3789])).
% 2.66/0.80 thf(f3789,plain,(
% 2.66/0.80 spl772_8 <=> ($true = (in @ sK185 @ (setminus @ sK184 @ sK183)))),
% 2.66/0.80 introduced(avatar_definition,[new_symbols(naming,[spl772_8])])).
% 2.66/0.80 thf(f2467,plain,(
% 2.66/0.80 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (setminus @ X3 @ X4))) | (setminusER != $true) | ((in @ X5 @ X4) != $true)) )),
% 2.66/0.80 inference(cnf_transformation,[],[f1336])).
% 2.66/0.80 thf(f1336,plain,(
% 2.66/0.80 ((setminusER = $true) | (($true = (in @ sK174 @ sK173)) & ($true = (in @ sK174 @ (setminus @ sK172 @ sK173))))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ($true != (in @ X5 @ (setminus @ X3 @ X4)))) | (setminusER != $true))),
% 2.66/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK172,sK173,sK174])],[f1334,f1335])).
% 2.66/0.80 thf(f1335,plain,(
% 2.66/0.80 ? [X0,X1,X2] : (($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X0 @ X1)))) => (($true = (in @ sK174 @ sK173)) & ($true = (in @ sK174 @ (setminus @ sK172 @ sK173))))),
% 2.66/0.80 introduced(choice_axiom,[])).
% 2.66/0.80 thf(f1334,plain,(
% 2.66/0.80 ((setminusER = $true) | ? [X0,X1,X2] : (($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X0 @ X1))))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ($true != (in @ X5 @ (setminus @ X3 @ X4)))) | (setminusER != $true))),
% 2.66/0.80 inference(rectify,[],[f1333])).
% 2.66/0.80 thf(f1333,plain,(
% 2.66/0.80 ((setminusER = $true) | ? [X0,X1,X2] : (($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X0 @ X1))))) & (! [X0,X1,X2] : (($true != (in @ X2 @ X1)) | ($true != (in @ X2 @ (setminus @ X0 @ X1)))) | (setminusER != $true))),
% 2.66/0.80 inference(nnf_transformation,[],[f1053])).
% 2.66/0.80 thf(f1053,plain,(
% 2.66/0.80 (setminusER = $true) <=> ! [X0,X1,X2] : (($true != (in @ X2 @ X1)) | ($true != (in @ X2 @ (setminus @ X0 @ X1))))),
% 2.66/0.80 inference(ennf_transformation,[],[f761])).
% 2.66/0.80 thf(f761,plain,(
% 2.66/0.80 (setminusER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) => ($true != (in @ X2 @ X1)))),
% 2.66/0.80 inference(flattening,[],[f488])).
% 2.66/0.80 thf(f488,plain,(
% 2.66/0.80 (setminusER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) => ~($true = (in @ X2 @ X1)))),
% 2.66/0.80 inference(fool_elimination,[],[f487])).
% 2.66/0.80 thf(f487,plain,(
% 2.66/0.80 (setminusER = ! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1)) => ~(in @ X2 @ X1)))),
% 2.66/0.80 inference(rectify,[],[f122])).
% 2.66/0.80 thf(f122,axiom,(
% 2.66/0.80 (setminusER = ! [X3,X4,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4)))),
% 2.66/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER)).
% 2.66/0.80 thf(f3868,plain,(
% 2.66/0.80 spl772_8),
% 2.66/0.80 inference(avatar_split_clause,[],[f3779,f3789])).
% 2.66/0.80 thf(f3779,plain,(
% 2.66/0.80 ($true = (in @ sK185 @ (setminus @ sK184 @ sK183)))),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f3778])).
% 2.66/0.80 thf(f3778,plain,(
% 2.66/0.80 ($true != $true) | ($true = (in @ sK185 @ (setminus @ sK184 @ sK183)))),
% 2.66/0.80 inference(forward_demodulation,[],[f3777,f2542])).
% 2.66/0.80 thf(f2542,plain,(
% 2.66/0.80 (setminusI = $true)),
% 2.66/0.80 inference(cnf_transformation,[],[f1352])).
% 2.66/0.80 thf(f3777,plain,(
% 2.66/0.80 (setminusI != $true) | ($true = (in @ sK185 @ (setminus @ sK184 @ sK183)))),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f3776])).
% 2.66/0.80 thf(f3776,plain,(
% 2.66/0.80 ($true != $true) | ($true = (in @ sK185 @ (setminus @ sK184 @ sK183))) | (setminusI != $true)),
% 2.66/0.80 inference(forward_demodulation,[],[f3769,f2483])).
% 2.66/0.80 thf(f2483,plain,(
% 2.66/0.80 ($true = (in @ sK185 @ sK184))),
% 2.66/0.80 inference(cnf_transformation,[],[f1352])).
% 2.66/0.80 thf(f3769,plain,(
% 2.66/0.80 ($true != (in @ sK185 @ sK184)) | (setminusI != $true) | ($true = (in @ sK185 @ (setminus @ sK184 @ sK183)))),
% 2.66/0.80 inference(trivial_inequality_removal,[],[f3757])).
% 2.66/0.80 thf(f3757,plain,(
% 2.66/0.80 ($true != $true) | ($true != (in @ sK185 @ sK184)) | ($true = (in @ sK185 @ (setminus @ sK184 @ sK183))) | (setminusI != $true)),
% 2.66/0.80 inference(superposition,[],[f2484,f2254])).
% 2.66/0.80 thf(f2254,plain,(
% 2.66/0.80 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X3 @ (setminus @ X5 @ X4))) | ($true != (in @ X3 @ X5)) | ($true = (in @ X3 @ X4)) | (setminusI != $true)) )),
% 2.66/0.80 inference(cnf_transformation,[],[f1087])).
% 2.66/0.80 thf(f1087,plain,(
% 2.66/0.80 ((setminusI = $true) | (($true = (in @ sK12 @ sK14)) & ($true != (in @ sK12 @ sK13)) & ($true != (in @ sK12 @ (setminus @ sK14 @ sK13))))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X5)) | ($true = (in @ X3 @ X4)) | ($true = (in @ X3 @ (setminus @ X5 @ X4)))) | (setminusI != $true))),
% 2.66/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f1085,f1086])).
% 2.66/0.80 thf(f1086,plain,(
% 2.66/0.80 ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ($true != (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X2 @ X1)))) => (($true = (in @ sK12 @ sK14)) & ($true != (in @ sK12 @ sK13)) & ($true != (in @ sK12 @ (setminus @ sK14 @ sK13))))),
% 2.66/0.80 introduced(choice_axiom,[])).
% 2.66/0.80 thf(f1085,plain,(
% 2.66/0.80 ((setminusI = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ($true != (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X2 @ X1))))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X5)) | ($true = (in @ X3 @ X4)) | ($true = (in @ X3 @ (setminus @ X5 @ X4)))) | (setminusI != $true))),
% 2.66/0.80 inference(rectify,[],[f1084])).
% 2.66/0.80 thf(f1084,plain,(
% 2.66/0.80 ((setminusI = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ($true != (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X2 @ X1))))) & (! [X0,X1,X2] : (($true != (in @ X0 @ X2)) | ($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ (setminus @ X2 @ X1)))) | (setminusI != $true))),
% 2.66/0.80 inference(nnf_transformation,[],[f951])).
% 2.66/0.80 thf(f951,plain,(
% 2.66/0.80 (setminusI = $true) <=> ! [X0,X1,X2] : (($true != (in @ X0 @ X2)) | ($true = (in @ X0 @ X1)) | ($true = (in @ X0 @ (setminus @ X2 @ X1))))),
% 2.66/0.80 inference(flattening,[],[f950])).
% 2.66/0.80 thf(f950,plain,(
% 2.66/0.80 (setminusI = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X0 @ (setminus @ X2 @ X1))) | ($true = (in @ X0 @ X1))) | ($true != (in @ X0 @ X2)))),
% 2.66/0.80 inference(ennf_transformation,[],[f747])).
% 2.66/0.80 thf(f747,plain,(
% 2.66/0.80 (setminusI = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X2)) => (($true != (in @ X0 @ X1)) => ($true = (in @ X0 @ (setminus @ X2 @ X1)))))),
% 2.66/0.80 inference(flattening,[],[f322])).
% 2.66/0.80 thf(f322,plain,(
% 2.66/0.80 (setminusI = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X2)) => (~($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ (setminus @ X2 @ X1)))))),
% 2.66/0.80 inference(fool_elimination,[],[f321])).
% 2.66/0.80 thf(f321,plain,(
% 2.66/0.80 (setminusI = ! [X0,X1,X2] : ((in @ X0 @ X2) => (~(in @ X0 @ X1) => (in @ X0 @ (setminus @ X2 @ X1)))))),
% 2.66/0.80 inference(rectify,[],[f120])).
% 2.66/0.80 thf(f120,axiom,(
% 2.66/0.80 (setminusI = ! [X1,X4,X3] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => (in @ X1 @ (setminus @ X3 @ X4)))))),
% 2.66/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusI)).
% 2.66/0.80 thf(f2484,plain,(
% 2.66/0.80 ($true != (in @ sK185 @ (setminus @ sK184 @ (setminus @ sK184 @ sK183))))),
% 2.66/0.80 inference(cnf_transformation,[],[f1352])).
% 2.66/0.80 % SZS output end Proof for theBenchmark
% 2.66/0.80 % (27762)------------------------------
% 2.66/0.80 % (27762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.80 % (27762)Termination reason: Refutation
% 2.66/0.80
% 2.66/0.80 % (27762)Memory used [KB]: 10874
% 2.66/0.80 % (27762)Time elapsed: 0.297 s
% 2.66/0.80 % (27762)Instructions burned: 503 (million)
% 2.66/0.80 % (27762)------------------------------
% 2.66/0.80 % (27762)------------------------------
% 2.66/0.80 % (27739)Success in time 0.416 s
% 2.66/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------