TSTP Solution File: SEU706^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU706^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:50:54 EDT 2024
% Result : Theorem 2.48s 0.71s
% Output : Refutation 2.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU706^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 15:45:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 % (6480)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (6482)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (6477)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.40 % (6478)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.40 % (6476)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (6483)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (6480)Instruction limit reached!
% 0.15/0.40 % (6480)------------------------------
% 0.15/0.40 % (6480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (6480)Termination reason: Unknown
% 0.15/0.40 % (6480)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (6480)Memory used [KB]: 1407
% 0.15/0.40 % (6480)Time elapsed: 0.003 s
% 0.15/0.40 % (6480)Instructions burned: 2 (million)
% 0.15/0.40 % (6480)------------------------------
% 0.15/0.40 % (6480)------------------------------
% 0.15/0.41 % (6483)Instruction limit reached!
% 0.15/0.41 % (6483)------------------------------
% 0.15/0.41 % (6483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (6483)Termination reason: Unknown
% 0.15/0.41 % (6483)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (6483)Memory used [KB]: 1407
% 0.15/0.41 % (6483)Time elapsed: 0.004 s
% 0.15/0.41 % (6477)Instruction limit reached!
% 0.15/0.41 % (6477)------------------------------
% 0.15/0.41 % (6477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (6483)Instructions burned: 3 (million)
% 0.15/0.41 % (6483)------------------------------
% 0.15/0.41 % (6483)------------------------------
% 0.23/0.41 % (6477)Termination reason: Unknown
% 0.23/0.41 % (6477)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (6477)Memory used [KB]: 1407
% 0.23/0.41 % (6477)Time elapsed: 0.005 s
% 0.23/0.41 % (6477)Instructions burned: 5 (million)
% 0.23/0.41 % (6477)------------------------------
% 0.23/0.41 % (6477)------------------------------
% 0.23/0.41 % (6481)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)
% 0.23/0.41 % (6479)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.41 % (6482)Instruction limit reached!
% 0.23/0.41 % (6482)------------------------------
% 0.23/0.41 % (6482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (6482)Termination reason: Unknown
% 0.23/0.41 % (6482)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (6482)Memory used [KB]: 1791
% 0.23/0.41 % (6482)Time elapsed: 0.014 s
% 0.23/0.41 % (6482)Instructions burned: 18 (million)
% 0.23/0.41 % (6482)------------------------------
% 0.23/0.41 % (6482)------------------------------
% 0.23/0.42 % (6479)Instruction limit reached!
% 0.23/0.42 % (6479)------------------------------
% 0.23/0.42 % (6479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (6479)Termination reason: Unknown
% 0.23/0.42 % (6479)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (6479)Memory used [KB]: 1407
% 0.23/0.42 % (6479)Time elapsed: 0.004 s
% 0.23/0.42 % (6479)Instructions burned: 3 (million)
% 0.23/0.42 % (6479)------------------------------
% 0.23/0.42 % (6479)------------------------------
% 0.23/0.42 % (6484)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)
% 0.23/0.42 % (6485)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)
% 0.23/0.42 % (6478)Instruction limit reached!
% 0.23/0.42 % (6478)------------------------------
% 0.23/0.42 % (6478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (6478)Termination reason: Unknown
% 0.23/0.42 % (6478)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (6478)Memory used [KB]: 1918
% 0.23/0.42 % (6478)Time elapsed: 0.017 s
% 0.23/0.42 % (6478)Instructions burned: 27 (million)
% 0.23/0.42 % (6478)------------------------------
% 0.23/0.42 % (6478)------------------------------
% 0.23/0.43 % (6486)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)
% 0.23/0.43 % (6487)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)
% 0.23/0.43 % (6485)Instruction limit reached!
% 0.23/0.43 % (6485)------------------------------
% 0.23/0.43 % (6485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6485)Termination reason: Unknown
% 0.23/0.43 % (6485)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (6485)Memory used [KB]: 1663
% 0.23/0.43 % (6485)Time elapsed: 0.012 s
% 0.23/0.43 % (6485)Instructions burned: 15 (million)
% 0.23/0.43 % (6485)------------------------------
% 0.23/0.43 % (6485)------------------------------
% 0.23/0.43 % (6486)Instruction limit reached!
% 0.23/0.43 % (6486)------------------------------
% 0.23/0.43 % (6486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6486)Termination reason: Unknown
% 0.23/0.43 % (6486)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (6486)Memory used [KB]: 1407
% 0.23/0.43 % (6486)Time elapsed: 0.004 s
% 0.23/0.43 % (6486)Instructions burned: 3 (million)
% 0.23/0.43 % (6486)------------------------------
% 0.23/0.43 % (6486)------------------------------
% 0.23/0.43 % (6488)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (6488)Instruction limit reached!
% 0.23/0.43 % (6488)------------------------------
% 0.23/0.43 % (6488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6488)Termination reason: Unknown
% 0.23/0.43 % (6488)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (6488)Memory used [KB]: 1535
% 0.23/0.43 % (6488)Time elapsed: 0.006 s
% 0.23/0.43 % (6488)Instructions burned: 7 (million)
% 0.23/0.43 % (6488)------------------------------
% 0.23/0.43 % (6488)------------------------------
% 0.23/0.44 % (6484)Instruction limit reached!
% 0.23/0.44 % (6484)------------------------------
% 0.23/0.44 % (6484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (6484)Termination reason: Unknown
% 0.23/0.44 % (6484)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (6484)Memory used [KB]: 2174
% 0.23/0.44 % (6484)Time elapsed: 0.021 s
% 0.23/0.44 % (6484)Instructions burned: 37 (million)
% 0.23/0.44 % (6484)------------------------------
% 0.23/0.44 % (6484)------------------------------
% 0.23/0.44 % (6489)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.44 % (6490)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)
% 0.23/0.45 % (6491)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)
% 0.23/0.45 % (6490)Instruction limit reached!
% 0.23/0.45 % (6490)------------------------------
% 0.23/0.45 % (6490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6490)Termination reason: Unknown
% 0.23/0.45 % (6490)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6490)Memory used [KB]: 1407
% 0.23/0.45 % (6491)Instruction limit reached!
% 0.23/0.45 % (6491)------------------------------
% 0.23/0.45 % (6491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6491)Termination reason: Unknown
% 0.23/0.45 % (6491)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6491)Memory used [KB]: 1407
% 0.23/0.45 % (6491)Time elapsed: 0.004 s
% 0.23/0.45 % (6491)Instructions burned: 3 (million)
% 0.23/0.45 % (6491)------------------------------
% 0.23/0.45 % (6491)------------------------------
% 0.23/0.45 % (6490)Time elapsed: 0.004 s
% 0.23/0.45 % (6490)Instructions burned: 3 (million)
% 0.23/0.45 % (6490)------------------------------
% 0.23/0.45 % (6490)------------------------------
% 0.23/0.45 % (6489)Instruction limit reached!
% 0.23/0.45 % (6489)------------------------------
% 0.23/0.45 % (6489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6489)Termination reason: Unknown
% 0.23/0.45 % (6489)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6489)Memory used [KB]: 1663
% 0.23/0.45 % (6489)Time elapsed: 0.011 s
% 0.23/0.45 % (6489)Instructions burned: 17 (million)
% 0.23/0.45 % (6489)------------------------------
% 0.23/0.45 % (6489)------------------------------
% 0.23/0.45 % (6492)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)
% 0.23/0.45 % (6493)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)
% 0.23/0.45 % (6492)Instruction limit reached!
% 0.23/0.45 % (6492)------------------------------
% 0.23/0.45 % (6492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6492)Termination reason: Unknown
% 0.23/0.45 % (6492)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6492)Memory used [KB]: 1535
% 0.23/0.45 % (6492)Time elapsed: 0.006 s
% 0.23/0.45 % (6492)Instructions burned: 7 (million)
% 0.23/0.45 % (6492)------------------------------
% 0.23/0.45 % (6492)------------------------------
% 0.23/0.45 % (6493)Instruction limit reached!
% 0.23/0.45 % (6493)------------------------------
% 0.23/0.45 % (6493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6493)Termination reason: Unknown
% 0.23/0.45 % (6493)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6493)Memory used [KB]: 1407
% 0.23/0.45 % (6493)Time elapsed: 0.004 s
% 0.23/0.45 % (6493)Instructions burned: 3 (million)
% 0.23/0.45 % (6493)------------------------------
% 0.23/0.45 % (6493)------------------------------
% 0.23/0.46 % (6494)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.46 % (6495)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)
% 0.23/0.46 % (6496)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.46 % (6494)Instruction limit reached!
% 0.23/0.46 % (6494)------------------------------
% 0.23/0.46 % (6494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (6494)Termination reason: Unknown
% 0.23/0.46 % (6494)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (6494)Memory used [KB]: 1407
% 0.23/0.46 % (6494)Time elapsed: 0.005 s
% 0.23/0.46 % (6494)Instructions burned: 5 (million)
% 0.23/0.46 % (6494)------------------------------
% 0.23/0.46 % (6494)------------------------------
% 0.23/0.47 % (6497)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.47 % (6498)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)
% 0.23/0.47 % (6497)Instruction limit reached!
% 0.23/0.47 % (6497)------------------------------
% 0.23/0.47 % (6497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (6497)Termination reason: Unknown
% 0.23/0.47 % (6497)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (6497)Memory used [KB]: 1407
% 0.23/0.47 % (6497)Time elapsed: 0.005 s
% 0.23/0.47 % (6497)Instructions burned: 6 (million)
% 0.23/0.47 % (6497)------------------------------
% 0.23/0.47 % (6497)------------------------------
% 0.23/0.47 % (6495)Instruction limit reached!
% 0.23/0.47 % (6495)------------------------------
% 0.23/0.47 % (6495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (6495)Termination reason: Unknown
% 0.23/0.47 % (6495)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (6495)Memory used [KB]: 1791
% 0.23/0.47 % (6495)Time elapsed: 0.012 s
% 0.23/0.47 % (6495)Instructions burned: 19 (million)
% 0.23/0.47 % (6495)------------------------------
% 0.23/0.47 % (6495)------------------------------
% 0.23/0.48 % (6499)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)
% 0.23/0.48 % (6500)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.48 % (6500)Instruction limit reached!
% 0.23/0.48 % (6500)------------------------------
% 0.23/0.48 % (6500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (6500)Termination reason: Unknown
% 0.23/0.48 % (6500)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (6500)Memory used [KB]: 1535
% 0.23/0.48 % (6500)Time elapsed: 0.003 s
% 0.23/0.48 % (6500)Instructions burned: 7 (million)
% 0.23/0.48 % (6500)------------------------------
% 0.23/0.48 % (6500)------------------------------
% 0.23/0.49 % (6476)Instruction limit reached!
% 0.23/0.49 % (6476)------------------------------
% 0.23/0.49 % (6476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (6476)Termination reason: Unknown
% 0.23/0.49 % (6476)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (6476)Memory used [KB]: 7547
% 0.23/0.49 % (6476)Time elapsed: 0.084 s
% 0.23/0.49 % (6476)Instructions burned: 184 (million)
% 0.23/0.49 % (6476)------------------------------
% 0.23/0.49 % (6476)------------------------------
% 0.23/0.49 % (6501)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)
% 0.23/0.49 % (6501)Instruction limit reached!
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (6501)Termination reason: Unknown
% 0.23/0.49 % (6501)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (6501)Memory used [KB]: 1535
% 0.23/0.49 % (6501)Time elapsed: 0.005 s
% 0.23/0.49 % (6501)Instructions burned: 7 (million)
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6499)Instruction limit reached!
% 0.23/0.49 % (6499)------------------------------
% 0.23/0.49 % (6499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (6499)Termination reason: Unknown
% 0.23/0.49 % (6499)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (6499)Memory used [KB]: 1791
% 0.23/0.49 % (6499)Time elapsed: 0.013 s
% 0.23/0.49 % (6499)Instructions burned: 22 (million)
% 0.23/0.49 % (6499)------------------------------
% 0.23/0.49 % (6499)------------------------------
% 0.23/0.49 % (6502)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.49 % (6503)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)
% 0.23/0.50 % (6504)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)
% 0.23/0.50 % (6505)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.23/0.51 % (6504)Instruction limit reached!
% 0.23/0.51 % (6504)------------------------------
% 0.23/0.51 % (6504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (6504)Termination reason: Unknown
% 0.23/0.51 % (6504)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (6504)Memory used [KB]: 1791
% 0.23/0.51 % (6504)Time elapsed: 0.010 s
% 0.23/0.51 % (6504)Instructions burned: 20 (million)
% 0.23/0.51 % (6504)------------------------------
% 0.23/0.51 % (6504)------------------------------
% 0.23/0.52 % (6506)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.52 % (6506)Instruction limit reached!
% 0.23/0.52 % (6506)------------------------------
% 0.23/0.52 % (6506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (6506)Termination reason: Unknown
% 0.23/0.52 % (6506)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (6506)Memory used [KB]: 1791
% 0.23/0.52 % (6506)Time elapsed: 0.007 s
% 0.23/0.52 % (6506)Instructions burned: 18 (million)
% 0.23/0.52 % (6506)------------------------------
% 0.23/0.52 % (6506)------------------------------
% 0.23/0.53 % (6481)Instruction limit reached!
% 0.23/0.53 % (6481)------------------------------
% 0.23/0.53 % (6481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (6481)Termination reason: Unknown
% 0.23/0.53 % (6481)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (6481)Memory used [KB]: 9338
% 0.23/0.53 % (6481)Time elapsed: 0.129 s
% 0.23/0.53 % (6481)Instructions burned: 275 (million)
% 0.23/0.53 % (6481)------------------------------
% 0.23/0.53 % (6481)------------------------------
% 0.23/0.53 % (6507)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.53 % (6507)Instruction limit reached!
% 0.23/0.53 % (6507)------------------------------
% 0.23/0.53 % (6507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (6507)Termination reason: Unknown
% 0.23/0.53 % (6507)Termination phase: shuffling
% 0.23/0.53
% 0.23/0.53 % (6507)Memory used [KB]: 1407
% 0.23/0.53 % (6507)Time elapsed: 0.003 s
% 0.23/0.53 % (6507)Instructions burned: 5 (million)
% 0.23/0.53 % (6507)------------------------------
% 0.23/0.53 % (6507)------------------------------
% 0.23/0.54 % (6508)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.54 % (6509)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.23/0.55 % (6508)Instruction limit reached!
% 0.23/0.55 % (6508)------------------------------
% 0.23/0.55 % (6508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55 % (6508)Termination reason: Unknown
% 0.23/0.55 % (6508)Termination phase: shuffling
% 0.23/0.55
% 0.23/0.55 % (6508)Memory used [KB]: 1918
% 0.23/0.55 % (6508)Time elapsed: 0.010 s
% 0.23/0.55 % (6508)Instructions burned: 30 (million)
% 0.23/0.55 % (6508)------------------------------
% 0.23/0.55 % (6508)------------------------------
% 0.23/0.56 % (6510)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.23/0.56 % (6498)Refutation not found, incomplete strategy
% 0.23/0.56 % (6498)------------------------------
% 0.23/0.56 % (6498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.56 % (6498)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.56
% 0.23/0.56
% 0.23/0.56 % (6498)Memory used [KB]: 9083
% 0.23/0.56 % (6498)Time elapsed: 0.097 s
% 0.23/0.56 % (6498)Instructions burned: 261 (million)
% 0.23/0.56 % (6498)------------------------------
% 0.23/0.56 % (6498)------------------------------
% 0.23/0.57 % (6511)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.58 % (6511)Instruction limit reached!
% 0.23/0.58 % (6511)------------------------------
% 0.23/0.58 % (6511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.58 % (6511)Termination reason: Unknown
% 0.23/0.58 % (6511)Termination phase: shuffling
% 0.23/0.58
% 0.23/0.58 % (6511)Memory used [KB]: 1407
% 0.23/0.58 % (6511)Time elapsed: 0.003 s
% 0.23/0.58 % (6511)Instructions burned: 5 (million)
% 0.23/0.58 % (6511)------------------------------
% 0.23/0.58 % (6511)------------------------------
% 0.23/0.59 % (6512)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 0.23/0.59 % (6509)Instruction limit reached!
% 0.23/0.59 % (6509)------------------------------
% 0.23/0.59 % (6509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.59 % (6509)Termination reason: Unknown
% 0.23/0.59 % (6509)Termination phase: Property scanning
% 0.23/0.59
% 0.23/0.59 % (6509)Memory used [KB]: 2430
% 0.23/0.59 % (6509)Time elapsed: 0.044 s
% 0.23/0.59 % (6509)Instructions burned: 127 (million)
% 0.23/0.59 % (6509)------------------------------
% 0.23/0.59 % (6509)------------------------------
% 0.23/0.59 % (6510)Instruction limit reached!
% 0.23/0.59 % (6510)------------------------------
% 0.23/0.59 % (6510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.59 % (6510)Termination reason: Unknown
% 0.23/0.59 % (6510)Termination phase: Property scanning
% 0.23/0.59
% 0.23/0.59 % (6510)Memory used [KB]: 2430
% 0.23/0.59 % (6510)Time elapsed: 0.029 s
% 0.23/0.59 % (6510)Instructions burned: 102 (million)
% 0.23/0.59 % (6510)------------------------------
% 0.23/0.59 % (6510)------------------------------
% 0.23/0.59 % (6512)Instruction limit reached!
% 0.23/0.59 % (6512)------------------------------
% 0.23/0.59 % (6512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.59 % (6512)Termination reason: Unknown
% 0.23/0.59 % (6512)Termination phase: shuffling
% 0.23/0.59
% 0.23/0.59 % (6512)Memory used [KB]: 1791
% 0.23/0.59 % (6512)Time elapsed: 0.009 s
% 0.23/0.59 % (6512)Instructions burned: 20 (million)
% 0.23/0.59 % (6512)------------------------------
% 0.23/0.59 % (6512)------------------------------
% 0.23/0.60 % (6514)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.77/0.60 % (6513)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.77/0.60 % (6515)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.77/0.61 % (6502)Instruction limit reached!
% 1.77/0.61 % (6502)------------------------------
% 1.77/0.61 % (6502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.61 % (6502)Termination reason: Unknown
% 1.77/0.61 % (6502)Termination phase: Saturation
% 1.77/0.61
% 1.77/0.61 % (6502)Memory used [KB]: 9338
% 1.77/0.61 % (6502)Time elapsed: 0.117 s
% 1.77/0.61 % (6502)Instructions burned: 377 (million)
% 1.77/0.61 % (6502)------------------------------
% 1.77/0.61 % (6502)------------------------------
% 1.77/0.61 % (6515)Instruction limit reached!
% 1.77/0.61 % (6515)------------------------------
% 1.77/0.61 % (6515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.61 % (6515)Termination reason: Unknown
% 1.77/0.61 % (6515)Termination phase: Property scanning
% 1.77/0.61
% 1.77/0.61 % (6515)Memory used [KB]: 2174
% 1.77/0.61 % (6515)Time elapsed: 0.013 s
% 1.77/0.61 % (6515)Instructions burned: 41 (million)
% 1.77/0.61 % (6515)------------------------------
% 1.77/0.61 % (6515)------------------------------
% 1.89/0.62 % (6516)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.89/0.62 % (6517)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.93/0.63 % (6514)Instruction limit reached!
% 1.93/0.63 % (6514)------------------------------
% 1.93/0.63 % (6514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.63 % (6514)Termination reason: Unknown
% 1.93/0.63 % (6514)Termination phase: Property scanning
% 1.93/0.63
% 1.93/0.63 % (6514)Memory used [KB]: 2558
% 1.93/0.63 % (6514)Time elapsed: 0.031 s
% 1.93/0.63 % (6514)Instructions burned: 110 (million)
% 1.93/0.63 % (6514)------------------------------
% 1.93/0.63 % (6514)------------------------------
% 1.93/0.63 % (6513)Instruction limit reached!
% 1.93/0.63 % (6513)------------------------------
% 1.93/0.63 % (6513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.63 % (6513)Termination reason: Unknown
% 1.93/0.63 % (6513)Termination phase: Function definition elimination
% 1.93/0.63
% 1.93/0.63 % (6513)Memory used [KB]: 2430
% 1.93/0.63 % (6513)Time elapsed: 0.031 s
% 1.93/0.63 % (6513)Instructions burned: 86 (million)
% 1.93/0.63 % (6513)------------------------------
% 1.93/0.63 % (6513)------------------------------
% 1.93/0.63 % (6518)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.93/0.64 % (6517)Instruction limit reached!
% 1.93/0.64 % (6517)------------------------------
% 1.93/0.64 % (6517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.64 % (6517)Termination reason: Unknown
% 1.93/0.64 % (6517)Termination phase: Property scanning
% 1.93/0.64
% 1.93/0.64 % (6517)Memory used [KB]: 2302
% 1.93/0.64 % (6517)Time elapsed: 0.015 s
% 1.93/0.64 % (6517)Instructions burned: 48 (million)
% 1.93/0.64 % (6517)------------------------------
% 1.93/0.64 % (6517)------------------------------
% 1.93/0.64 % (6519)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.93/0.64 % (6520)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.93/0.66 % (6518)Instruction limit reached!
% 1.93/0.66 % (6518)------------------------------
% 1.93/0.66 % (6518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.66 % (6518)Termination reason: Unknown
% 1.93/0.66 % (6518)Termination phase: Property scanning
% 1.93/0.66
% 1.93/0.66 % (6518)Memory used [KB]: 2430
% 1.93/0.66 % (6518)Time elapsed: 0.028 s
% 1.93/0.66 % (6518)Instructions burned: 102 (million)
% 1.93/0.66 % (6518)------------------------------
% 1.93/0.66 % (6518)------------------------------
% 1.93/0.67 % (6521)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.93/0.67 % (6503)Instruction limit reached!
% 1.93/0.67 % (6503)------------------------------
% 1.93/0.67 % (6503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.67 % (6503)Termination reason: Unknown
% 1.93/0.67 % (6503)Termination phase: Saturation
% 1.93/0.67
% 1.93/0.67 % (6503)Memory used [KB]: 7291
% 1.93/0.67 % (6503)Time elapsed: 0.181 s
% 1.93/0.67 % (6503)Instructions burned: 781 (million)
% 1.93/0.67 % (6503)------------------------------
% 1.93/0.67 % (6503)------------------------------
% 1.93/0.68 % (6522)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.93/0.68 % (6521)Instruction limit reached!
% 1.93/0.68 % (6521)------------------------------
% 1.93/0.68 % (6521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.68 % (6521)Termination reason: Unknown
% 1.93/0.68 % (6521)Termination phase: shuffling
% 1.93/0.68
% 1.93/0.68 % (6521)Memory used [KB]: 2174
% 1.93/0.68 % (6521)Time elapsed: 0.013 s
% 1.93/0.68 % (6521)Instructions burned: 39 (million)
% 1.93/0.68 % (6521)------------------------------
% 1.93/0.68 % (6521)------------------------------
% 1.93/0.68 % (6522)Instruction limit reached!
% 1.93/0.68 % (6522)------------------------------
% 1.93/0.68 % (6522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.68 % (6522)Termination reason: Unknown
% 1.93/0.68 % (6522)Termination phase: shuffling
% 1.93/0.68
% 1.93/0.68 % (6522)Memory used [KB]: 1535
% 1.93/0.68 % (6522)Time elapsed: 0.004 s
% 1.93/0.68 % (6522)Instructions burned: 8 (million)
% 1.93/0.68 % (6522)------------------------------
% 1.93/0.68 % (6522)------------------------------
% 1.93/0.69 % (6520)Instruction limit reached!
% 1.93/0.69 % (6520)------------------------------
% 1.93/0.69 % (6520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.69 % (6520)Termination reason: Unknown
% 1.93/0.69 % (6520)Termination phase: Saturation
% 1.93/0.69
% 1.93/0.69 % (6520)Memory used [KB]: 7419
% 1.93/0.69 % (6520)Time elapsed: 0.043 s
% 1.93/0.69 % (6520)Instructions burned: 150 (million)
% 1.93/0.69 % (6520)------------------------------
% 1.93/0.69 % (6520)------------------------------
% 1.93/0.69 % (6523)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 1.93/0.69 % (6524)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 1.93/0.69 % (6525)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 1.93/0.70 % (6524)Instruction limit reached!
% 1.93/0.70 % (6524)------------------------------
% 1.93/0.70 % (6524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.70 % (6524)Termination reason: Unknown
% 1.93/0.70 % (6524)Termination phase: Property scanning
% 1.93/0.70
% 1.93/0.70 % (6524)Memory used [KB]: 2302
% 1.93/0.70 % (6524)Time elapsed: 0.014 s
% 1.93/0.70 % (6524)Instructions burned: 47 (million)
% 1.93/0.70 % (6524)------------------------------
% 1.93/0.70 % (6524)------------------------------
% 2.48/0.71 % (6505)First to succeed.
% 2.48/0.71 % (6525)Instruction limit reached!
% 2.48/0.71 % (6525)------------------------------
% 2.48/0.71 % (6525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.48/0.71 % (6525)Termination reason: Unknown
% 2.48/0.71 % (6525)Termination phase: Property scanning
% 2.48/0.71
% 2.48/0.71 % (6525)Memory used [KB]: 2174
% 2.48/0.71 % (6525)Time elapsed: 0.014 s
% 2.48/0.71 % (6525)Instructions burned: 44 (million)
% 2.48/0.71 % (6525)------------------------------
% 2.48/0.71 % (6525)------------------------------
% 2.48/0.71 % (6505)Refutation found. Thanks to Tanya!
% 2.48/0.71 % SZS status Theorem for theBenchmark
% 2.48/0.71 % SZS output start Proof for theBenchmark
% 2.48/0.71 thf(func_def_0, type, in: $i > $i > $o).
% 2.48/0.71 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.48/0.71 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.48/0.71 thf(func_def_8, type, powerset: $i > $i).
% 2.48/0.71 thf(func_def_10, type, setunion: $i > $i).
% 2.48/0.71 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_26, type, prop2set: $o > $i).
% 2.48/0.71 thf(func_def_36, type, nonempty: $i > $o).
% 2.48/0.71 thf(func_def_69, type, set2prop: $i > $o).
% 2.48/0.71 thf(func_def_88, type, subset: $i > $i > $o).
% 2.48/0.71 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.48/0.71 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.48/0.71 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.48/0.71 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.48/0.71 thf(func_def_135, type, regular: $i > $o).
% 2.48/0.71 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.48/0.71 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.48/0.71 thf(func_def_153, type, iskpair: $i > $o).
% 2.48/0.71 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.48/0.71 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.48/0.71 thf(func_def_177, type, singleton: $i > $o).
% 2.48/0.71 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.48/0.71 thf(func_def_184, type, atmost1p: $i > $o).
% 2.48/0.71 thf(func_def_185, type, atleast2p: $i > $o).
% 2.48/0.71 thf(func_def_186, type, atmost2p: $i > $o).
% 2.48/0.71 thf(func_def_187, type, upairsetp: $i > $o).
% 2.48/0.71 thf(func_def_191, type, kfst: $i > $i).
% 2.48/0.71 thf(func_def_203, type, ksnd: $i > $i).
% 2.48/0.71 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.48/0.71 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.48/0.71 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.48/0.71 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.48/0.71 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.48/0.71 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.48/0.71 thf(func_def_282, type, sK3: $i > $i > ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_283, type, sK4: $i > $i > $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_284, type, sK5: $i > $i).
% 2.48/0.71 thf(func_def_285, type, sK6: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_286, type, sK7: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_287, type, sK8: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_288, type, sK9: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_289, type, sK10: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_290, type, sK11: $i > ($i > $i) > $i > $i).
% 2.48/0.71 thf(func_def_291, type, sK12: $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_292, type, sK13: $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_293, type, sK14: $i > $i > $i).
% 2.48/0.71 thf(func_def_294, type, sK15: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_295, type, sK16: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_296, type, sK17: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_297, type, sK18: $i > $i > $i).
% 2.48/0.71 thf(func_def_298, type, sK19: $i > $i > $i).
% 2.48/0.71 thf(func_def_299, type, sK20: $i > ($i > $i > $o) > $i).
% 2.48/0.71 thf(func_def_300, type, sK21: $i > ($i > $i > $o) > $i).
% 2.48/0.71 thf(func_def_301, type, sK22: $i > $i > ($i > $i > $o) > $i).
% 2.48/0.71 thf(func_def_302, type, sK23: $i > $i > ($i > $i > $o) > $i).
% 2.48/0.71 thf(func_def_303, type, sK24: $i > $i > $i).
% 2.48/0.71 thf(func_def_304, type, sK25: ($i > $o) > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_305, type, sK26: ($i > $o) > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_306, type, sK27: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_307, type, sK28: $i > $i > $i).
% 2.48/0.71 thf(func_def_308, type, sK29: $i > $i).
% 2.48/0.71 thf(func_def_309, type, sK30: $i > $i).
% 2.48/0.71 thf(func_def_310, type, sK31: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_311, type, sK32: $i > ($i > $o) > ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_312, type, sK33: $i > $i).
% 2.48/0.71 thf(func_def_313, type, sK34: ($i > $i) > $i > $i > $i).
% 2.48/0.71 thf(func_def_314, type, sK35: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_315, type, sK36: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_316, type, sK37: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_317, type, sK38: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_318, type, sK39: $i > $i > $i).
% 2.48/0.71 thf(func_def_319, type, sK40: ($i > $o) > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_320, type, sK41: ($i > $o) > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_321, type, sK42: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_322, type, sK43: $i > $i > $i).
% 2.48/0.71 thf(func_def_323, type, sK44: $i > $i > $i).
% 2.48/0.71 thf(func_def_324, type, sK45: ($i > $i) > $i > $i > $i).
% 2.48/0.71 thf(func_def_325, type, sK46: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_326, type, sK47: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_327, type, sK48: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_328, type, sK49: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_329, type, sK50: $i > $i > $i > $o > $i).
% 2.48/0.71 thf(func_def_330, type, sK51: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_331, type, sK52: $i > $i).
% 2.48/0.71 thf(func_def_332, type, sK53: $i > $o > $i > $i).
% 2.48/0.71 thf(func_def_333, type, sK54: $i > $i).
% 2.48/0.71 thf(func_def_334, type, sK55: $i > $i > $i).
% 2.48/0.71 thf(func_def_335, type, sK56: $i > $i > $i).
% 2.48/0.71 thf(func_def_336, type, sK57: $i > $i > $i).
% 2.48/0.71 thf(func_def_337, type, sK58: $i > $i > $i).
% 2.48/0.71 thf(func_def_338, type, sK59: $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_339, type, sK60: $i > $i > $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_340, type, sK61: $i > $i > ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_341, type, sK62: $i > $i).
% 2.48/0.71 thf(func_def_342, type, sK63: $i > $i).
% 2.48/0.71 thf(func_def_343, type, sK64: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_344, type, sK65: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_345, type, sK66: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_346, type, sK67: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_347, type, sK68: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_348, type, sK69: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_349, type, sK70: $i > $i > $i).
% 2.48/0.71 thf(func_def_350, type, sK71: $i > $i > ($i > $i) > $i).
% 2.48/0.71 thf(func_def_351, type, sK72: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_352, type, sK73: ($i > $o) > $i).
% 2.48/0.71 thf(func_def_353, type, sK74: $i > $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_354, type, sK75: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_355, type, sK76: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_356, type, sK77: $i > ($i > $o) > $i).
% 2.48/0.71 thf(func_def_357, type, sK78: $i > ($i > $i) > $i > $i).
% 2.48/0.71 thf(func_def_358, type, sK79: $i > $i > $i).
% 2.48/0.71 thf(func_def_359, type, sK80: $i > $i).
% 2.48/0.71 thf(func_def_360, type, sK81: ($i > $o) > $i > $i).
% 2.48/0.71 thf(func_def_361, type, sK82: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_362, type, sK83: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_363, type, sK84: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_364, type, sK85: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_365, type, sK86: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_366, type, sK87: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_367, type, sK88: $i > $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_368, type, sK89: $i > $i > $i > $i).
% 2.48/0.71 thf(func_def_370, type, ph91: !>[X0: $tType]:(X0)).
% 2.48/0.71 thf(f4437,plain,(
% 2.48/0.71 $false),
% 2.48/0.71 inference(subsumption_resolution,[],[f4399,f4071])).
% 2.48/0.71 thf(f4071,plain,(
% 2.48/0.71 (sK1 != sK90)),
% 2.48/0.71 inference(superposition,[],[f791,f4061])).
% 2.48/0.71 thf(f4061,plain,(
% 2.48/0.71 (sK90 = (setunion @ sK0))),
% 2.48/0.71 inference(superposition,[],[f3114,f3671])).
% 2.48/0.71 thf(f3671,plain,(
% 2.48/0.71 ((setadjoin @ sK90 @ emptyset) = sK0)),
% 2.48/0.71 inference(equality_proxy_clausification,[],[f3669])).
% 2.48/0.71 thf(f3669,plain,(
% 2.48/0.71 ($true = ((setadjoin @ sK90 @ emptyset) = sK0))),
% 2.48/0.71 inference(binary_proxy_clausification,[],[f3668])).
% 2.48/0.71 thf(f3668,plain,(
% 2.48/0.71 (((in @ sK90 @ sK0) & ((setadjoin @ sK90 @ emptyset) = sK0)) = $true)),
% 2.48/0.71 inference(beta_eta_normalization,[],[f3667])).
% 2.48/0.71 thf(f3667,plain,(
% 2.48/0.71 ($true = ((^[Y0 : $i]: ((in @ Y0 @ sK0) & ((setadjoin @ Y0 @ emptyset) = sK0))) @ sK90))),
% 2.48/0.71 inference(sigma_clausification,[],[f3666])).
% 2.48/0.71 thf(f3666,plain,(
% 2.48/0.71 ((?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK0) & ((setadjoin @ Y0 @ emptyset) = sK0)))) = $true)),
% 2.48/0.71 inference(beta_eta_normalization,[],[f1225])).
% 2.48/0.71 thf(f1225,plain,(
% 2.48/0.71 (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & ((setadjoin @ Y1 @ emptyset) = Y0))))) @ sK0) = $true)),
% 2.48/0.71 inference(definition_unfolding,[],[f793,f1044])).
% 2.48/0.71 thf(f1044,plain,(
% 2.48/0.71 (singleton = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & ((setadjoin @ Y1 @ emptyset) = Y0))))))),
% 2.48/0.71 inference(cnf_transformation,[],[f340])).
% 2.48/0.71 thf(f340,plain,(
% 2.48/0.71 (singleton = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & ((setadjoin @ Y1 @ emptyset) = Y0))))))),
% 2.48/0.71 inference(fool_elimination,[],[f339])).
% 2.48/0.71 thf(f339,plain,(
% 2.48/0.71 (singleton = (^[X0 : $i] : (? [X1] : (((setadjoin @ X1 @ emptyset) = X0) & (in @ X1 @ X0)))))),
% 2.48/0.71 inference(rectify,[],[f156])).
% 2.48/0.71 thf(f156,axiom,(
% 2.48/0.71 (singleton = (^[X3 : $i] : (? [X1] : (((setadjoin @ X1 @ emptyset) = X3) & (in @ X1 @ X3)))))),
% 2.48/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton)).
% 2.48/0.71 thf(f793,plain,(
% 2.48/0.71 ($true = (singleton @ sK0))),
% 2.48/0.71 inference(cnf_transformation,[],[f688])).
% 2.48/0.71 thf(f688,plain,(
% 2.48/0.71 (powersetI1 = $true) & (subset2powerset = $true) & (setminusEL = $true) & (setukpairinjR = $true) & (prop2setE = $true) & (setunionE2 = $true) & (setukpairIR = $true) & (eta1 = $true) & (exuE1 = $true) & (quantDeMorgan1 = $true) & (setminusI = $true) & (secondinupair = $true) & (setunionAx = $true) & (singletoninpowerset = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (emptyinunitempty = $true) & (setadjoinSub = $true) & (emptyI = $true) & (binunionE = $true) & (setukpairinjL1 = $true) & (binunionIR = $true) & (cartprodfstpairEq = $true) & (setext = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg1 = $true) & (binintersectSubset5 = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (notdallE = $true) & (setunionsingleton = $true) & (ksndpairEq = $true) & (upairset2IR = $true) & (nonemptyI = $true) & (lam2p = $true) & (emptyE1 = $true) & (ex1I = $true) & (powersetI = $true) & (eqimpsubset2 = $true) & (omegaSAx = $true) & (setminusSubset1 = $true) & (singletonsswitch = $true) & (prop2set2propI = $true) & (sepInPowerset = $true) & (emptysetimpfalse = $true) & (ex1I2 = $true) & (subsetemptysetimpeq = $true) & (replAx = $true) & (omega__Cong = $true) & (beta1 = $true) & (cartprodsndin = $true) & (symdiffI2 = $true) & (sepSubset = $true) & (setadjoinE = $true) & (powerset__Cong = $true) & (kpairsurjEq = $true) & (ap2apEq1 = $true) & (cartprodfstin = $true) & (disjointsetsI1 = $true) & (singletonsuniq = $true) & (setextsub = $true) & (ex1E2 = $true) & (subsetE2 = $true) & (uniqinunit = $true) & (symdiffI1 = $true) & (lamp = $true) & (binunionRsub = $true) & (binintersectSubset1 = $true) & (binunionEcases = $true) & (ifSingleton = $true) & (emptyset__Cong = $true) & (dsetconstrER = $true) & (inPowerset = $true) & (binunionLsub = $true) & (omegaIndAx = $true) & (subsetE = $true) & (brelnall2 = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (funcGraphProp4 = $true) & (beta2 = $true) & (theprop = $true) & (binintersectSubset4 = $true) & (apProp = $true) & (omega0Ax = $true) & (emptyinPowerset = $true) & (inCongP = $true) & (binintersectEL = $true) & (exuE2 = $true) & (dpsetconstrER = $true) & (subsetI2 = $true) & (notsubsetI = $true) & (powersetE1 = $true) & (dpsetconstrEL2 = $true) & (setminusIRneg = $true) & (infuncsetfunc = $true) & (upairsetIL = $true) & (funcGraphProp2 = $true) & (setadjoinIL = $true) & (descr__Cong = $true) & (iffalseProp1 = $true) & (kfstsingleton = $true) & (setadjoinAx = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (iftrueProp2 = $true) & (setadjoin__Cong = $true) & (powersetsubset = $true) & (setunionsingleton1 = $true) & (ap2apEq2 = $true) & (emptyInPowerset = $true) & (setukpairinjR1 = $true) & (foundationAx = $true) & (setOfPairsIsBReln = $true) & (setminusLsub = $true) & (lam2lamEq = $true) & (binintersectLsub = $true) & (nonemptyE1 = $true) & (setminusELneg = $true) & (lamProp = $true) & (emptysetAx = $true) & (notinsingleton = $true) & (singletonprop = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (singletoninpowunion = $true) & (symdiffIneg2 = $true) & (dsetconstr__Cong = $true) & (setadjoinIR = $true) & (bs114d = $true) & (funcGraphProp1 = $true) & (iffalseProp2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrI = $true) & (upairinpowunion = $true) & (kfstpairEq = $true) & (cartprodsndpairEq = $true) & (cartprodpairmemEL = $true) & (ap2p = $true) & (eta2 = $true) & (funcext2 = $true) & (setunion__Cong = $true) & (kpairp = $true) & (notinemptyset = $true) & (quantDeMorgan3 = $true) & (kpairiskpair = $true) & (funcextLem = $true) & (setadjoinSub2 = $true) & (setukpairinjR2 = $true) & (wellorderingAx = $true) & (prop2setI = $true) & (subsetTrans = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset2 = $true) & (setoftrueEq = $true) & (funcinfuncset = $true) & (cartprodmempaircEq = $true) & (funcGraphProp3 = $true) & (setextAx = $true) & (powersetE = $true) & (dpsetconstrERa = $true) & (ex1E1 = $true) & (subPowSU = $true) & (setminusER = $true) & (setunionI = $true) & (setadjoinOr = $true) & (setunionsingleton2 = $true) & (eqinunit = $true) & (setunionE = $true) & (eqimpsubset1 = $true) & (app = $true) & (notequalI1 = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (cartprodmempair1 = $true) & (eqbreln = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (symdiffE = $true) & (exu__Cong = $true) & (exuE3u = $true) & (emptysetE = $true) & (binintersectI = $true) & (setukpairinjL = $true) & (setminusILneg = $true) & (setminusERneg = $true) & (upairequniteq = $true) & (upairset2E = $true) & (setminusSubset2 = $true) & (exuE3e = $true) & (cartprodpairmemER = $true) & (cartprodpairin = $true) & (funcImageSingleton = $true) & (dsetconstrEL = $true) & (binintersectER = $true) & (binunionIL = $true) & (singletonsubset = $true) & (setbeta = $true) & (exuI1 = $true) & (descrp = $true) & (ubforcartprodlem1 = $true) & (exuI2 = $true) & (exuEu = $true) & (setukpairIL = $true) & (notdexE = $true) & (emptysetsubset = $true) & (notequalI2 = $true) & (in__Cong = $true) & (dpsetconstrSub = $true) & (nonemptyImpWitness = $true) & (($true = (singleton @ sK0)) & (($true = (in @ sK1 @ sK0)) & (sK1 != (setunion @ sK0)))) & (vacuousDall = $true) & (funcext = $true) & (ksndsingleton = $true) & (ubforcartprodlem2 = $true) & (powersetAx = $true) & (upairsubunion = $true) & (ifp = $true) & (quantDeMorgan2 = $true) & (subbreln = $true) & (binintersectSubset3 = $true) & (subsetRefl = $true) & (exuI3 = $true)),
% 2.48/0.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f685,f687,f686])).
% 2.48/0.71 thf(f686,plain,(
% 2.48/0.71 ? [X0] : (($true = (singleton @ X0)) & ? [X1] : (((in @ X1 @ X0) = $true) & ((setunion @ X0) != X1))) => (($true = (singleton @ sK0)) & ? [X1] : (($true = (in @ X1 @ sK0)) & ((setunion @ sK0) != X1)))),
% 2.48/0.71 introduced(choice_axiom,[])).
% 2.48/0.71 thf(f687,plain,(
% 2.48/0.71 ? [X1] : (($true = (in @ X1 @ sK0)) & ((setunion @ sK0) != X1)) => (($true = (in @ sK1 @ sK0)) & (sK1 != (setunion @ sK0)))),
% 2.48/0.71 introduced(choice_axiom,[])).
% 2.48/0.71 thf(f685,plain,(
% 2.48/0.71 (powersetI1 = $true) & (subset2powerset = $true) & (setminusEL = $true) & (setukpairinjR = $true) & (prop2setE = $true) & (setunionE2 = $true) & (setukpairIR = $true) & (eta1 = $true) & (exuE1 = $true) & (quantDeMorgan1 = $true) & (setminusI = $true) & (secondinupair = $true) & (setunionAx = $true) & (singletoninpowerset = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (emptyinunitempty = $true) & (setadjoinSub = $true) & (emptyI = $true) & (binunionE = $true) & (setukpairinjL1 = $true) & (binunionIR = $true) & (cartprodfstpairEq = $true) & (setext = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg1 = $true) & (binintersectSubset5 = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (notdallE = $true) & (setunionsingleton = $true) & (ksndpairEq = $true) & (upairset2IR = $true) & (nonemptyI = $true) & (lam2p = $true) & (emptyE1 = $true) & (ex1I = $true) & (powersetI = $true) & (eqimpsubset2 = $true) & (omegaSAx = $true) & (setminusSubset1 = $true) & (singletonsswitch = $true) & (prop2set2propI = $true) & (sepInPowerset = $true) & (emptysetimpfalse = $true) & (ex1I2 = $true) & (subsetemptysetimpeq = $true) & (replAx = $true) & (omega__Cong = $true) & (beta1 = $true) & (cartprodsndin = $true) & (symdiffI2 = $true) & (sepSubset = $true) & (setadjoinE = $true) & (powerset__Cong = $true) & (kpairsurjEq = $true) & (ap2apEq1 = $true) & (cartprodfstin = $true) & (disjointsetsI1 = $true) & (singletonsuniq = $true) & (setextsub = $true) & (ex1E2 = $true) & (subsetE2 = $true) & (uniqinunit = $true) & (symdiffI1 = $true) & (lamp = $true) & (binunionRsub = $true) & (binintersectSubset1 = $true) & (binunionEcases = $true) & (ifSingleton = $true) & (emptyset__Cong = $true) & (dsetconstrER = $true) & (inPowerset = $true) & (binunionLsub = $true) & (omegaIndAx = $true) & (subsetE = $true) & (brelnall2 = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (funcGraphProp4 = $true) & (beta2 = $true) & (theprop = $true) & (binintersectSubset4 = $true) & (apProp = $true) & (omega0Ax = $true) & (emptyinPowerset = $true) & (inCongP = $true) & (binintersectEL = $true) & (exuE2 = $true) & (dpsetconstrER = $true) & (subsetI2 = $true) & (notsubsetI = $true) & (powersetE1 = $true) & (dpsetconstrEL2 = $true) & (setminusIRneg = $true) & (infuncsetfunc = $true) & (upairsetIL = $true) & (funcGraphProp2 = $true) & (setadjoinIL = $true) & (descr__Cong = $true) & (iffalseProp1 = $true) & (kfstsingleton = $true) & (setadjoinAx = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (iftrueProp2 = $true) & (setadjoin__Cong = $true) & (powersetsubset = $true) & (setunionsingleton1 = $true) & (ap2apEq2 = $true) & (emptyInPowerset = $true) & (setukpairinjR1 = $true) & (foundationAx = $true) & (setOfPairsIsBReln = $true) & (setminusLsub = $true) & (lam2lamEq = $true) & (binintersectLsub = $true) & (nonemptyE1 = $true) & (setminusELneg = $true) & (lamProp = $true) & (emptysetAx = $true) & (notinsingleton = $true) & (singletonprop = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (singletoninpowunion = $true) & (symdiffIneg2 = $true) & (dsetconstr__Cong = $true) & (setadjoinIR = $true) & (bs114d = $true) & (funcGraphProp1 = $true) & (iffalseProp2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrI = $true) & (upairinpowunion = $true) & (kfstpairEq = $true) & (cartprodsndpairEq = $true) & (cartprodpairmemEL = $true) & (ap2p = $true) & (eta2 = $true) & (funcext2 = $true) & (setunion__Cong = $true) & (kpairp = $true) & (notinemptyset = $true) & (quantDeMorgan3 = $true) & (kpairiskpair = $true) & (funcextLem = $true) & (setadjoinSub2 = $true) & (setukpairinjR2 = $true) & (wellorderingAx = $true) & (prop2setI = $true) & (subsetTrans = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset2 = $true) & (setoftrueEq = $true) & (funcinfuncset = $true) & (cartprodmempaircEq = $true) & (funcGraphProp3 = $true) & (setextAx = $true) & (powersetE = $true) & (dpsetconstrERa = $true) & (ex1E1 = $true) & (subPowSU = $true) & (setminusER = $true) & (setunionI = $true) & (setadjoinOr = $true) & (setunionsingleton2 = $true) & (eqinunit = $true) & (setunionE = $true) & (eqimpsubset1 = $true) & (app = $true) & (notequalI1 = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (cartprodmempair1 = $true) & (eqbreln = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (symdiffE = $true) & (exu__Cong = $true) & (exuE3u = $true) & (emptysetE = $true) & (binintersectI = $true) & (setukpairinjL = $true) & (setminusILneg = $true) & (setminusERneg = $true) & (upairequniteq = $true) & (upairset2E = $true) & (setminusSubset2 = $true) & (exuE3e = $true) & (cartprodpairmemER = $true) & (cartprodpairin = $true) & (funcImageSingleton = $true) & (dsetconstrEL = $true) & (binintersectER = $true) & (binunionIL = $true) & (singletonsubset = $true) & (setbeta = $true) & (exuI1 = $true) & (descrp = $true) & (ubforcartprodlem1 = $true) & (exuI2 = $true) & (exuEu = $true) & (setukpairIL = $true) & (notdexE = $true) & (emptysetsubset = $true) & (notequalI2 = $true) & (in__Cong = $true) & (dpsetconstrSub = $true) & (nonemptyImpWitness = $true) & ? [X0] : (($true = (singleton @ X0)) & ? [X1] : (((in @ X1 @ X0) = $true) & ((setunion @ X0) != X1))) & (vacuousDall = $true) & (funcext = $true) & (ksndsingleton = $true) & (ubforcartprodlem2 = $true) & (powersetAx = $true) & (upairsubunion = $true) & (ifp = $true) & (quantDeMorgan2 = $true) & (subbreln = $true) & (binintersectSubset3 = $true) & (subsetRefl = $true) & (exuI3 = $true)),
% 2.48/0.71 inference(flattening,[],[f684])).
% 2.48/0.71 thf(f684,plain,(
% 2.48/0.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (($true = (singleton @ X0)) & ? [X1] : (((in @ X1 @ X0) = $true) & ((setunion @ X0) != X1))) & (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)),
% 2.48/0.71 inference(ennf_transformation,[],[f635])).
% 2.48/0.71 thf(f635,plain,(
% 2.48/0.71 ~((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 = $true) => ! [X0] : (($true = (singleton @ X0)) => ! [X1] : (((in @ X1 @ X0) = $true) => ((setunion @ X0) = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.71 inference(fool_elimination,[],[f634])).
% 2.48/0.71 thf(f634,plain,(
% 2.48/0.71 ~(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 => ! [X0] : ((singleton @ X0) => ! [X1] : ((in @ X1 @ X0) => ((setunion @ X0) = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.71 inference(rectify,[],[f230])).
% 2.48/0.71 thf(f230,negated_conjecture,(
% 2.48/0.71 ~(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 => ! [X11] : ((singleton @ X11) => ! [X1] : ((in @ X1 @ X11) => ((setunion @ X11) = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.71 inference(negated_conjecture,[],[f229])).
% 2.48/0.71 thf(f229,conjecture,(
% 2.48/0.71 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 => ! [X11] : ((singleton @ X11) => ! [X1] : ((in @ X1 @ X11) => ((setunion @ X11) = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theeq)).
% 2.48/0.71 thf(f3114,plain,(
% 2.48/0.71 ( ! [X1 : $i] : (((setunion @ (setadjoin @ X1 @ emptyset)) = X1)) )),
% 2.48/0.71 inference(equality_proxy_clausification,[],[f3113])).
% 2.48/0.71 thf(f3113,plain,(
% 2.48/0.71 ( ! [X1 : $i] : (($true = ((setunion @ (setadjoin @ X1 @ emptyset)) = X1))) )),
% 2.48/0.71 inference(beta_eta_normalization,[],[f3112])).
% 2.48/0.71 thf(f3112,plain,(
% 2.48/0.71 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((setunion @ (setadjoin @ Y0 @ emptyset)) = Y0)) @ X1))) )),
% 2.48/0.71 inference(pi_clausification,[],[f1154])).
% 2.48/0.71 thf(f1154,plain,(
% 2.48/0.71 ($true = (!! @ $i @ (^[Y0 : $i]: ((setunion @ (setadjoin @ Y0 @ emptyset)) = Y0))))),
% 2.48/0.71 inference(definition_unfolding,[],[f973,f689])).
% 2.48/0.71 thf(f689,plain,(
% 2.48/0.71 (setunionsingleton = (!! @ $i @ (^[Y0 : $i]: ((setunion @ (setadjoin @ Y0 @ emptyset)) = Y0))))),
% 2.48/0.71 inference(cnf_transformation,[],[f625])).
% 2.48/0.71 thf(f625,plain,(
% 2.48/0.71 (setunionsingleton = (!! @ $i @ (^[Y0 : $i]: ((setunion @ (setadjoin @ Y0 @ emptyset)) = Y0))))),
% 2.48/0.71 inference(fool_elimination,[],[f624])).
% 2.48/0.71 thf(f624,plain,(
% 2.48/0.71 (setunionsingleton = ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0))),
% 2.48/0.71 inference(rectify,[],[f155])).
% 2.48/0.71 thf(f155,axiom,(
% 2.48/0.71 (setunionsingleton = ! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1))),
% 2.48/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionsingleton)).
% 2.48/0.71 thf(f973,plain,(
% 2.48/0.71 (setunionsingleton = $true)),
% 2.48/0.71 inference(cnf_transformation,[],[f688])).
% 2.48/0.71 thf(f791,plain,(
% 2.48/0.71 (sK1 != (setunion @ sK0))),
% 2.48/0.71 inference(cnf_transformation,[],[f688])).
% 2.48/0.71 thf(f4399,plain,(
% 2.48/0.71 (sK1 = sK90)),
% 2.48/0.71 inference(trivial_inequality_removal,[],[f4390])).
% 2.48/0.71 thf(f4390,plain,(
% 2.48/0.71 ($true = $false) | (sK1 = sK90)),
% 2.48/0.71 inference(superposition,[],[f792,f4351])).
% 2.48/0.71 thf(f4351,plain,(
% 2.48/0.71 ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | (sK90 = X0)) )),
% 2.48/0.71 inference(superposition,[],[f1993,f3671])).
% 2.48/0.71 thf(f1993,plain,(
% 2.48/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (setadjoin @ X1 @ emptyset)) = $false) | (X1 = X2)) )),
% 2.48/0.71 inference(equality_proxy_clausification,[],[f1992])).
% 2.48/0.71 thf(f1992,plain,(
% 2.48/0.71 ( ! [X2 : $i,X1 : $i] : (((X2 = X1) = $true) | ((in @ X2 @ (setadjoin @ X1 @ emptyset)) = $false)) )),
% 2.48/0.71 inference(binary_proxy_clausification,[],[f1991])).
% 2.48/0.71 thf(f1991,plain,(
% 2.48/0.71 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ (setadjoin @ X1 @ emptyset)) => (X2 = X1)))) )),
% 2.48/0.71 inference(beta_eta_normalization,[],[f1990])).
% 2.48/0.71 thf(f1990,plain,(
% 2.48/0.71 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ emptyset)) => (Y0 = X1))) @ X2) = $true)) )),
% 2.48/0.71 inference(pi_clausification,[],[f1989])).
% 2.48/0.71 thf(f1989,plain,(
% 2.48/0.71 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ emptyset)) => (Y0 = X1)))))) )),
% 2.48/0.71 inference(beta_eta_normalization,[],[f1988])).
% 2.48/0.71 thf(f1988,plain,(
% 2.48/0.71 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ Y0 @ emptyset)) => (Y1 = Y0))))) @ X1))) )),
% 2.48/0.71 inference(pi_clausification,[],[f1169])).
% 2.48/0.71 thf(f1169,plain,(
% 2.48/0.71 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ Y0 @ emptyset)) => (Y1 = Y0)))))) = $true)),
% 2.48/0.71 inference(definition_unfolding,[],[f940,f698])).
% 2.48/0.71 thf(f698,plain,(
% 2.48/0.71 (uniqinunit = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ Y0 @ emptyset)) => (Y1 = Y0)))))))),
% 2.48/0.71 inference(cnf_transformation,[],[f386])).
% 2.48/0.71 thf(f386,plain,(
% 2.48/0.71 (uniqinunit = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ Y0 @ emptyset)) => (Y1 = Y0)))))))),
% 2.48/0.71 inference(fool_elimination,[],[f385])).
% 2.48/0.71 thf(f385,plain,(
% 2.48/0.71 (uniqinunit = ! [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ emptyset)) => (X0 = X1)))),
% 2.48/0.71 inference(rectify,[],[f46])).
% 2.48/0.71 thf(f46,axiom,(
% 2.48/0.71 (uniqinunit = ! [X1,X2] : ((in @ X1 @ (setadjoin @ X2 @ emptyset)) => (X1 = X2)))),
% 2.48/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit)).
% 2.48/0.71 thf(f940,plain,(
% 2.48/0.71 (uniqinunit = $true)),
% 2.48/0.71 inference(cnf_transformation,[],[f688])).
% 2.48/0.71 thf(f792,plain,(
% 2.48/0.71 ($true = (in @ sK1 @ sK0))),
% 2.48/0.71 inference(cnf_transformation,[],[f688])).
% 2.48/0.71 % SZS output end Proof for theBenchmark
% 2.48/0.71 % (6505)------------------------------
% 2.48/0.71 % (6505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.48/0.71 % (6505)Termination reason: Refutation
% 2.48/0.71
% 2.48/0.71 % (6505)Memory used [KB]: 9594
% 2.48/0.71 % (6505)Time elapsed: 0.207 s
% 2.48/0.71 % (6505)Instructions burned: 605 (million)
% 2.48/0.71 % (6505)------------------------------
% 2.48/0.71 % (6505)------------------------------
% 2.48/0.71 % (6475)Success in time 0.329 s
% 2.48/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------