TSTP Solution File: SEU709^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU709^1 : 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 : n021.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 03:50:56 EDT 2024
% Result : Theorem 4.00s 1.00s
% Output : Refutation 4.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU709^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n021.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 16:24:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TH0_THM_EQU_NAR problem
% 0.15/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (30211)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)
% 0.15/0.39 % (30213)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (30213)Instruction limit reached!
% 0.15/0.39 % (30213)------------------------------
% 0.15/0.39 % (30213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30213)Termination reason: Unknown
% 0.15/0.39 % (30213)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (30213)Memory used [KB]: 1407
% 0.15/0.39 % (30213)Time elapsed: 0.003 s
% 0.15/0.39 % (30213)Instructions burned: 3 (million)
% 0.15/0.39 % (30213)------------------------------
% 0.15/0.39 % (30213)------------------------------
% 0.15/0.40 % (30209)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 % (30210)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 % (30214)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.40 % (30215)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 % (30216)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 % (30210)Instruction limit reached!
% 0.15/0.40 % (30210)------------------------------
% 0.15/0.40 % (30210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30210)Termination reason: Unknown
% 0.15/0.40 % (30210)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30210)Memory used [KB]: 1407
% 0.15/0.40 % (30210)Time elapsed: 0.006 s
% 0.15/0.40 % (30210)Instructions burned: 4 (million)
% 0.15/0.40 % (30210)------------------------------
% 0.15/0.40 % (30210)------------------------------
% 0.15/0.40 % (30216)Instruction limit reached!
% 0.15/0.40 % (30216)------------------------------
% 0.15/0.40 % (30216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30216)Termination reason: Unknown
% 0.15/0.40 % (30216)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30216)Memory used [KB]: 1407
% 0.15/0.40 % (30216)Time elapsed: 0.005 s
% 0.15/0.40 % (30216)Instructions burned: 3 (million)
% 0.15/0.40 % (30216)------------------------------
% 0.15/0.40 % (30216)------------------------------
% 0.15/0.40 % (30212)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (30212)Instruction limit reached!
% 0.15/0.40 % (30212)------------------------------
% 0.15/0.40 % (30212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30212)Termination reason: Unknown
% 0.15/0.40 % (30212)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30212)Memory used [KB]: 1407
% 0.15/0.40 % (30212)Time elapsed: 0.004 s
% 0.15/0.40 % (30212)Instructions burned: 3 (million)
% 0.15/0.40 % (30212)------------------------------
% 0.15/0.40 % (30212)------------------------------
% 0.15/0.40 % (30217)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)
% 0.15/0.40 % (30211)Instruction limit reached!
% 0.15/0.40 % (30211)------------------------------
% 0.15/0.40 % (30211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30211)Termination reason: Unknown
% 0.15/0.40 % (30211)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30211)Memory used [KB]: 1918
% 0.15/0.40 % (30211)Time elapsed: 0.016 s
% 0.15/0.40 % (30211)Instructions burned: 28 (million)
% 0.15/0.40 % (30211)------------------------------
% 0.15/0.40 % (30211)------------------------------
% 0.19/0.41 % (30215)Instruction limit reached!
% 0.19/0.41 % (30215)------------------------------
% 0.19/0.41 % (30215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (30215)Termination reason: Unknown
% 0.19/0.41 % (30215)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (30215)Memory used [KB]: 1791
% 0.19/0.41 % (30215)Time elapsed: 0.019 s
% 0.19/0.41 % (30215)Instructions burned: 18 (million)
% 0.19/0.41 % (30215)------------------------------
% 0.19/0.41 % (30215)------------------------------
% 0.19/0.42 % (30219)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)
% 0.19/0.42 % (30217)Instruction limit reached!
% 0.19/0.42 % (30217)------------------------------
% 0.19/0.42 % (30217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (30217)Termination reason: Unknown
% 0.19/0.42 % (30217)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (30217)Memory used [KB]: 2174
% 0.19/0.42 % (30217)Time elapsed: 0.018 s
% 0.19/0.42 % (30217)Instructions burned: 38 (million)
% 0.19/0.42 % (30217)------------------------------
% 0.19/0.42 % (30217)------------------------------
% 0.19/0.42 % (30219)Instruction limit reached!
% 0.19/0.42 % (30219)------------------------------
% 0.19/0.42 % (30219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (30219)Termination reason: Unknown
% 0.19/0.42 % (30219)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (30219)Memory used [KB]: 1407
% 0.19/0.42 % (30219)Time elapsed: 0.004 s
% 0.19/0.42 % (30219)Instructions burned: 3 (million)
% 0.19/0.42 % (30219)------------------------------
% 0.19/0.42 % (30219)------------------------------
% 0.19/0.42 % (30221)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.42 % (30218)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)
% 0.19/0.42 % (30221)Instruction limit reached!
% 0.19/0.42 % (30221)------------------------------
% 0.19/0.42 % (30221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (30221)Termination reason: Unknown
% 0.19/0.42 % (30221)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (30221)Memory used [KB]: 1535
% 0.19/0.42 % (30221)Time elapsed: 0.005 s
% 0.19/0.42 % (30221)Instructions burned: 7 (million)
% 0.19/0.42 % (30221)------------------------------
% 0.19/0.42 % (30221)------------------------------
% 0.19/0.43 % (30218)Instruction limit reached!
% 0.19/0.43 % (30218)------------------------------
% 0.19/0.43 % (30218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (30218)Termination reason: Unknown
% 0.19/0.43 % (30218)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (30218)Memory used [KB]: 1663
% 0.19/0.43 % (30218)Time elapsed: 0.013 s
% 0.19/0.43 % (30218)Instructions burned: 15 (million)
% 0.19/0.43 % (30218)------------------------------
% 0.19/0.43 % (30218)------------------------------
% 0.19/0.43 % (30224)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)
% 0.19/0.43 % (30223)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)
% 0.19/0.43 % (30223)Instruction limit reached!
% 0.19/0.43 % (30223)------------------------------
% 0.19/0.43 % (30223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (30223)Termination reason: Unknown
% 0.19/0.43 % (30223)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (30223)Memory used [KB]: 1407
% 0.19/0.43 % (30223)Time elapsed: 0.002 s
% 0.19/0.43 % (30223)Instructions burned: 3 (million)
% 0.19/0.43 % (30223)------------------------------
% 0.19/0.43 % (30223)------------------------------
% 0.19/0.44 % (30222)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.44 % (30224)Instruction limit reached!
% 0.19/0.44 % (30224)------------------------------
% 0.19/0.44 % (30224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (30224)Termination reason: Unknown
% 0.19/0.44 % (30224)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (30224)Memory used [KB]: 1407
% 0.19/0.44 % (30224)Time elapsed: 0.004 s
% 0.19/0.44 % (30224)Instructions burned: 4 (million)
% 0.19/0.44 % (30224)------------------------------
% 0.19/0.44 % (30224)------------------------------
% 0.19/0.44 % (30220)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)
% 0.19/0.44 % (30226)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)
% 0.19/0.44 % (30226)Instruction limit reached!
% 0.19/0.44 % (30226)------------------------------
% 0.19/0.44 % (30226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (30226)Termination reason: Unknown
% 0.19/0.44 % (30226)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (30226)Memory used [KB]: 1407
% 0.19/0.44 % (30226)Time elapsed: 0.003 s
% 0.19/0.44 % (30226)Instructions burned: 5 (million)
% 0.19/0.44 % (30226)------------------------------
% 0.19/0.44 % (30226)------------------------------
% 0.19/0.44 % (30222)Instruction limit reached!
% 0.19/0.44 % (30222)------------------------------
% 0.19/0.44 % (30222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (30222)Termination reason: Unknown
% 0.19/0.44 % (30222)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (30222)Memory used [KB]: 1791
% 0.19/0.44 % (30222)Time elapsed: 0.011 s
% 0.19/0.44 % (30222)Instructions burned: 16 (million)
% 0.19/0.44 % (30222)------------------------------
% 0.19/0.44 % (30222)------------------------------
% 0.19/0.44 % (30225)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)
% 0.19/0.45 % (30225)Instruction limit reached!
% 0.19/0.45 % (30225)------------------------------
% 0.19/0.45 % (30225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (30225)Termination reason: Unknown
% 0.19/0.45 % (30225)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (30225)Memory used [KB]: 1535
% 0.19/0.45 % (30225)Time elapsed: 0.006 s
% 0.19/0.45 % (30225)Instructions burned: 7 (million)
% 0.19/0.45 % (30225)------------------------------
% 0.19/0.45 % (30225)------------------------------
% 0.19/0.45 % (30229)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.19/0.46 % (30230)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.19/0.46 % (30230)Instruction limit reached!
% 0.19/0.46 % (30230)------------------------------
% 0.19/0.46 % (30230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (30230)Termination reason: Unknown
% 0.19/0.46 % (30230)Termination phase: shuffling
% 0.19/0.46
% 0.19/0.46 % (30230)Memory used [KB]: 1535
% 0.19/0.46 % (30230)Time elapsed: 0.006 s
% 0.19/0.46 % (30230)Instructions burned: 7 (million)
% 0.19/0.46 % (30230)------------------------------
% 0.19/0.46 % (30230)------------------------------
% 0.19/0.46 % (30228)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)
% 0.19/0.46 % (30231)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)
% 0.19/0.47 % (30228)Instruction limit reached!
% 0.19/0.47 % (30228)------------------------------
% 0.19/0.47 % (30228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (30228)Termination reason: Unknown
% 0.19/0.47 % (30228)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (30228)Memory used [KB]: 1791
% 0.19/0.47 % (30228)Time elapsed: 0.012 s
% 0.19/0.47 % (30228)Instructions burned: 19 (million)
% 0.19/0.47 % (30228)------------------------------
% 0.19/0.47 % (30228)------------------------------
% 0.19/0.47 % (30227)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.48 % (30227)Instruction limit reached!
% 0.19/0.48 % (30227)------------------------------
% 0.19/0.48 % (30227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (30227)Termination reason: Unknown
% 0.19/0.48 % (30227)Termination phase: shuffling
% 0.19/0.48
% 0.19/0.48 % (30227)Memory used [KB]: 1407
% 0.19/0.48 % (30227)Time elapsed: 0.004 s
% 0.19/0.48 % (30227)Instructions burned: 4 (million)
% 0.19/0.48 % (30227)------------------------------
% 0.19/0.48 % (30227)------------------------------
% 0.19/0.48 % (30232)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)
% 0.19/0.49 % (30233)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.19/0.49 % (30232)Instruction limit reached!
% 0.19/0.49 % (30232)------------------------------
% 0.19/0.49 % (30232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (30232)Termination reason: Unknown
% 0.19/0.49 % (30232)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (30232)Memory used [KB]: 1791
% 0.19/0.49 % (30232)Time elapsed: 0.014 s
% 0.19/0.49 % (30232)Instructions burned: 21 (million)
% 0.19/0.49 % (30232)------------------------------
% 0.19/0.49 % (30232)------------------------------
% 0.19/0.49 % (30233)Instruction limit reached!
% 0.19/0.49 % (30233)------------------------------
% 0.19/0.49 % (30233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (30233)Termination reason: Unknown
% 0.19/0.49 % (30233)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (30233)Memory used [KB]: 1535
% 0.19/0.49 % (30233)Time elapsed: 0.005 s
% 0.19/0.49 % (30233)Instructions burned: 8 (million)
% 0.19/0.49 % (30233)------------------------------
% 0.19/0.49 % (30233)------------------------------
% 0.19/0.50 % (30209)Instruction limit reached!
% 0.19/0.50 % (30209)------------------------------
% 0.19/0.50 % (30209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (30209)Termination reason: Unknown
% 0.19/0.50 % (30209)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (30209)Memory used [KB]: 7547
% 0.19/0.50 % (30209)Time elapsed: 0.105 s
% 0.19/0.50 % (30209)Instructions burned: 184 (million)
% 0.19/0.50 % (30209)------------------------------
% 0.19/0.50 % (30209)------------------------------
% 0.19/0.50 % (30234)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)
% 0.19/0.50 % (30234)Instruction limit reached!
% 0.19/0.50 % (30234)------------------------------
% 0.19/0.50 % (30234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (30234)Termination reason: Unknown
% 0.19/0.50 % (30234)Termination phase: shuffling
% 0.19/0.50
% 0.19/0.50 % (30234)Memory used [KB]: 1535
% 0.19/0.50 % (30234)Time elapsed: 0.004 s
% 0.19/0.50 % (30234)Instructions burned: 8 (million)
% 0.19/0.50 % (30234)------------------------------
% 0.19/0.50 % (30234)------------------------------
% 0.19/0.50 % (30237)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)
% 0.19/0.51 % (30235)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.19/0.51 % (30238)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)
% 0.19/0.51 % (30239)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)
% 0.19/0.51 % (30238)Instruction limit reached!
% 0.19/0.51 % (30238)------------------------------
% 0.19/0.51 % (30238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (30238)Termination reason: Unknown
% 0.19/0.51 % (30238)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (30238)Memory used [KB]: 1791
% 0.19/0.51 % (30238)Time elapsed: 0.008 s
% 0.19/0.51 % (30238)Instructions burned: 22 (million)
% 0.19/0.51 % (30238)------------------------------
% 0.19/0.51 % (30238)------------------------------
% 0.19/0.52 % (30240)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.19/0.53 % (30240)Instruction limit reached!
% 0.19/0.53 % (30240)------------------------------
% 0.19/0.53 % (30240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.53 % (30240)Termination reason: Unknown
% 0.19/0.53 % (30240)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (30240)Memory used [KB]: 1791
% 0.19/0.53 % (30240)Time elapsed: 0.007 s
% 0.19/0.53 % (30240)Instructions burned: 18 (million)
% 0.19/0.53 % (30240)------------------------------
% 0.19/0.53 % (30240)------------------------------
% 0.19/0.54 % (30214)Instruction limit reached!
% 0.19/0.54 % (30214)------------------------------
% 0.19/0.54 % (30214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.54 % (30214)Termination reason: Unknown
% 0.19/0.54 % (30214)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (30214)Memory used [KB]: 9210
% 0.19/0.54 % (30214)Time elapsed: 0.137 s
% 0.19/0.54 % (30214)Instructions burned: 275 (million)
% 0.19/0.54 % (30241)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.54 % (30214)------------------------------
% 0.19/0.54 % (30214)------------------------------
% 0.19/0.54 % (30241)Instruction limit reached!
% 0.19/0.54 % (30241)------------------------------
% 0.19/0.54 % (30241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.54 % (30241)Termination reason: Unknown
% 0.19/0.54 % (30241)Termination phase: shuffling
% 0.19/0.54
% 0.19/0.54 % (30241)Memory used [KB]: 1407
% 0.19/0.54 % (30241)Time elapsed: 0.003 s
% 0.19/0.54 % (30241)Instructions burned: 4 (million)
% 0.19/0.54 % (30241)------------------------------
% 0.19/0.54 % (30241)------------------------------
% 0.19/0.55 % (30243)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)
% 0.19/0.55 % (30242)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.19/0.56 % (30242)Instruction limit reached!
% 0.19/0.56 % (30242)------------------------------
% 0.19/0.56 % (30242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.56 % (30242)Termination reason: Unknown
% 0.19/0.56 % (30242)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (30242)Memory used [KB]: 2046
% 0.19/0.56 % (30242)Time elapsed: 0.011 s
% 0.19/0.56 % (30242)Instructions burned: 32 (million)
% 0.19/0.56 % (30242)------------------------------
% 0.19/0.56 % (30242)------------------------------
% 0.19/0.56 % (30244)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)
% 1.59/0.58 % (30243)Instruction limit reached!
% 1.59/0.58 % (30243)------------------------------
% 1.59/0.58 % (30243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.59/0.58 % (30243)Termination reason: Unknown
% 1.59/0.58 % (30243)Termination phase: Property scanning
% 1.59/0.58
% 1.59/0.58 % (30243)Memory used [KB]: 2558
% 1.59/0.58 % (30243)Time elapsed: 0.034 s
% 1.59/0.58 % (30243)Instructions burned: 129 (million)
% 1.59/0.58 % (30243)------------------------------
% 1.59/0.58 % (30243)------------------------------
% 1.59/0.59 % (30245)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)
% 1.59/0.59 % (30245)Instruction limit reached!
% 1.59/0.59 % (30245)------------------------------
% 1.59/0.59 % (30245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.59/0.59 % (30245)Termination reason: Unknown
% 1.59/0.59 % (30245)Termination phase: shuffling
% 1.59/0.59
% 1.59/0.59 % (30245)Memory used [KB]: 1407
% 1.59/0.59 % (30245)Time elapsed: 0.002 s
% 1.59/0.59 % (30245)Instructions burned: 3 (million)
% 1.59/0.59 % (30245)------------------------------
% 1.59/0.59 % (30245)------------------------------
% 1.59/0.59 % (30244)Instruction limit reached!
% 1.59/0.59 % (30244)------------------------------
% 1.59/0.59 % (30244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.59/0.59 % (30244)Termination reason: Unknown
% 1.59/0.59 % (30244)Termination phase: Property scanning
% 1.59/0.59
% 1.59/0.59 % (30244)Memory used [KB]: 2430
% 1.59/0.59 % (30244)Time elapsed: 0.030 s
% 1.59/0.59 % (30244)Instructions burned: 102 (million)
% 1.59/0.59 % (30244)------------------------------
% 1.59/0.59 % (30244)------------------------------
% 1.59/0.60 % (30246)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)
% 1.79/0.60 % (30247)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)
% 1.79/0.60 % (30246)Instruction limit reached!
% 1.79/0.60 % (30246)------------------------------
% 1.79/0.60 % (30246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.79/0.60 % (30246)Termination reason: Unknown
% 1.79/0.60 % (30246)Termination phase: Property scanning
% 1.79/0.60
% 1.79/0.60 % (30246)Memory used [KB]: 1791
% 1.79/0.60 % (30246)Time elapsed: 0.009 s
% 1.79/0.60 % (30246)Instructions burned: 22 (million)
% 1.79/0.60 % (30246)------------------------------
% 1.79/0.60 % (30246)------------------------------
% 1.79/0.61 % (30248)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)
% 1.79/0.63 % (30247)Instruction limit reached!
% 1.79/0.63 % (30247)------------------------------
% 1.79/0.63 % (30247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.79/0.63 % (30247)Termination reason: Unknown
% 1.79/0.63 % (30247)Termination phase: Function definition elimination
% 1.79/0.63
% 1.79/0.63 % (30247)Memory used [KB]: 2430
% 1.79/0.63 % (30247)Time elapsed: 0.026 s
% 1.79/0.63 % (30247)Instructions burned: 88 (million)
% 1.79/0.63 % (30247)------------------------------
% 1.79/0.63 % (30247)------------------------------
% 2.03/0.64 % (30249)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)
% 2.03/0.64 % (30248)Instruction limit reached!
% 2.03/0.64 % (30248)------------------------------
% 2.03/0.64 % (30248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.64 % (30248)Termination reason: Unknown
% 2.03/0.64 % (30248)Termination phase: Function definition elimination
% 2.03/0.64
% 2.03/0.64 % (30248)Memory used [KB]: 2430
% 2.03/0.64 % (30248)Time elapsed: 0.029 s
% 2.03/0.64 % (30248)Instructions burned: 109 (million)
% 2.03/0.64 % (30248)------------------------------
% 2.03/0.64 % (30248)------------------------------
% 2.03/0.65 % (30235)Instruction limit reached!
% 2.03/0.65 % (30235)------------------------------
% 2.03/0.65 % (30235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65 % (30235)Termination reason: Unknown
% 2.03/0.65 % (30235)Termination phase: Saturation
% 2.03/0.65
% 2.03/0.65 % (30235)Memory used [KB]: 8827
% 2.03/0.65 % (30235)Time elapsed: 0.132 s
% 2.03/0.65 % (30235)Instructions burned: 379 (million)
% 2.03/0.65 % (30235)------------------------------
% 2.03/0.65 % (30235)------------------------------
% 2.03/0.65 % (30249)Instruction limit reached!
% 2.03/0.65 % (30249)------------------------------
% 2.03/0.65 % (30249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65 % (30249)Termination reason: Unknown
% 2.03/0.65 % (30249)Termination phase: shuffling
% 2.03/0.65
% 2.03/0.65 % (30249)Memory used [KB]: 2174
% 2.03/0.65 % (30249)Time elapsed: 0.013 s
% 2.03/0.65 % (30249)Instructions burned: 39 (million)
% 2.03/0.65 % (30249)------------------------------
% 2.03/0.65 % (30249)------------------------------
% 2.03/0.65 % (30250)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.03/0.65 % (30251)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.03/0.66 % (30252)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 2.03/0.67 % (30251)Instruction limit reached!
% 2.03/0.67 % (30251)------------------------------
% 2.03/0.67 % (30251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.67 % (30251)Termination reason: Unknown
% 2.03/0.67 % (30251)Termination phase: Property scanning
% 2.03/0.67
% 2.03/0.67 % (30251)Memory used [KB]: 2302
% 2.03/0.67 % (30251)Time elapsed: 0.015 s
% 2.03/0.67 % (30251)Instructions burned: 46 (million)
% 2.03/0.67 % (30251)------------------------------
% 2.03/0.67 % (30251)------------------------------
% 2.03/0.68 % (30253)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 (2996ds/507Mi)
% 2.03/0.70 % (30237)Instruction limit reached!
% 2.03/0.70 % (30237)------------------------------
% 2.03/0.70 % (30237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.70 % (30237)Termination reason: Unknown
% 2.03/0.70 % (30237)Termination phase: Saturation
% 2.03/0.70
% 2.03/0.70 % (30237)Memory used [KB]: 7291
% 2.03/0.70 % (30237)Time elapsed: 0.197 s
% 2.03/0.70 % (30237)Instructions burned: 781 (million)
% 2.03/0.70 % (30237)------------------------------
% 2.03/0.70 % (30237)------------------------------
% 2.03/0.70 % (30252)Instruction limit reached!
% 2.03/0.70 % (30252)------------------------------
% 2.03/0.70 % (30252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.70 % (30252)Termination reason: Unknown
% 2.03/0.70 % (30252)Termination phase: Function definition elimination
% 2.03/0.70
% 2.03/0.70 % (30252)Memory used [KB]: 2430
% 2.03/0.70 % (30252)Time elapsed: 0.045 s
% 2.03/0.70 % (30252)Instructions burned: 98 (million)
% 2.03/0.70 % (30252)------------------------------
% 2.03/0.70 % (30252)------------------------------
% 2.03/0.71 % (30254)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 (2996ds/149Mi)
% 2.03/0.72 % (30255)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.03/0.73 % (30255)Instruction limit reached!
% 2.03/0.73 % (30255)------------------------------
% 2.03/0.73 % (30255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.73 % (30255)Termination reason: Unknown
% 2.03/0.73 % (30255)Termination phase: shuffling
% 2.03/0.73
% 2.03/0.73 % (30255)Memory used [KB]: 2302
% 2.03/0.73 % (30255)Time elapsed: 0.014 s
% 2.03/0.73 % (30255)Instructions burned: 40 (million)
% 2.03/0.73 % (30255)------------------------------
% 2.03/0.73 % (30255)------------------------------
% 2.65/0.73 % (30220)Instruction limit reached!
% 2.65/0.73 % (30220)------------------------------
% 2.65/0.73 % (30220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.73 % (30220)Termination reason: Unknown
% 2.65/0.73 % (30220)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (30220)Memory used [KB]: 12920
% 2.65/0.73 % (30220)Time elapsed: 0.330 s
% 2.65/0.73 % (30220)Instructions burned: 1041 (million)
% 2.65/0.73 % (30220)------------------------------
% 2.65/0.73 % (30220)------------------------------
% 2.65/0.74 % (30256)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 (2996ds/6Mi)
% 2.65/0.74 % (30256)Instruction limit reached!
% 2.65/0.74 % (30256)------------------------------
% 2.65/0.74 % (30256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.74 % (30256)Termination reason: Unknown
% 2.65/0.74 % (30256)Termination phase: shuffling
% 2.65/0.74
% 2.65/0.74 % (30256)Memory used [KB]: 1535
% 2.65/0.74 % (30256)Time elapsed: 0.005 s
% 2.65/0.74 % (30256)Instructions burned: 7 (million)
% 2.65/0.74 % (30256)------------------------------
% 2.65/0.74 % (30256)------------------------------
% 2.65/0.74 % (30257)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)
% 2.65/0.75 % (30250)Instruction limit reached!
% 2.65/0.75 % (30250)------------------------------
% 2.65/0.75 % (30250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.75 % (30250)Termination reason: Unknown
% 2.65/0.75 % (30250)Termination phase: Saturation
% 2.65/0.75
% 2.65/0.75 % (30250)Memory used [KB]: 7291
% 2.65/0.75 % (30250)Time elapsed: 0.108 s
% 2.65/0.75 % (30250)Instructions burned: 448 (million)
% 2.65/0.75 % (30250)------------------------------
% 2.65/0.75 % (30250)------------------------------
% 2.65/0.76 % (30258)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.65/0.77 % (30259)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)
% 2.65/0.78 % (30254)Instruction limit reached!
% 2.65/0.78 % (30254)------------------------------
% 2.65/0.78 % (30254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.78 % (30254)Termination reason: Unknown
% 2.65/0.78 % (30254)Termination phase: Saturation
% 2.65/0.78
% 2.65/0.78 % (30254)Memory used [KB]: 7419
% 2.65/0.78 % (30254)Time elapsed: 0.072 s
% 2.65/0.78 % (30254)Instructions burned: 150 (million)
% 2.65/0.78 % (30254)------------------------------
% 2.65/0.78 % (30254)------------------------------
% 2.65/0.78 % (30258)Instruction limit reached!
% 2.65/0.78 % (30258)------------------------------
% 2.65/0.78 % (30258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.78 % (30258)Termination reason: Unknown
% 2.65/0.78 % (30258)Termination phase: Property scanning
% 2.65/0.78
% 2.65/0.78 % (30258)Memory used [KB]: 2302
% 2.65/0.78 % (30258)Time elapsed: 0.025 s
% 2.65/0.78 % (30258)Instructions burned: 48 (million)
% 2.65/0.78 % (30258)------------------------------
% 2.65/0.78 % (30258)------------------------------
% 2.65/0.78 % (30229)Instruction limit reached!
% 2.65/0.78 % (30229)------------------------------
% 2.65/0.78 % (30229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.78 % (30229)Termination reason: Unknown
% 2.65/0.78 % (30229)Termination phase: Saturation
% 2.65/0.78
% 2.65/0.78 % (30229)Memory used [KB]: 10234
% 2.65/0.78 % (30229)Time elapsed: 0.332 s
% 2.65/0.78 % (30229)Instructions burned: 711 (million)
% 2.65/0.78 % (30229)------------------------------
% 2.65/0.78 % (30229)------------------------------
% 2.65/0.79 % (30259)Instruction limit reached!
% 2.65/0.79 % (30259)------------------------------
% 2.65/0.79 % (30259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.79 % (30259)Termination reason: Unknown
% 2.65/0.79 % (30259)Termination phase: Property scanning
% 2.65/0.79
% 2.65/0.79 % (30259)Memory used [KB]: 2302
% 2.65/0.79 % (30259)Time elapsed: 0.021 s
% 2.65/0.79 % (30259)Instructions burned: 44 (million)
% 2.65/0.79 % (30259)------------------------------
% 2.65/0.79 % (30259)------------------------------
% 2.65/0.79 % (30260)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 3.16/0.80 % (30261)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 3.16/0.80 % (30262)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 3.16/0.80 % (30263)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 3.16/0.81 % (30262)Instruction limit reached!
% 3.16/0.81 % (30262)------------------------------
% 3.16/0.81 % (30262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.81 % (30262)Termination reason: Unknown
% 3.16/0.81 % (30262)Termination phase: shuffling
% 3.16/0.81
% 3.16/0.81 % (30262)Memory used [KB]: 2046
% 3.16/0.81 % (30262)Time elapsed: 0.016 s
% 3.16/0.81 % (30262)Instructions burned: 32 (million)
% 3.16/0.81 % (30262)------------------------------
% 3.16/0.81 % (30262)------------------------------
% 3.16/0.82 % (30264)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 3.16/0.83 % (30261)Instruction limit reached!
% 3.16/0.83 % (30261)------------------------------
% 3.16/0.83 % (30261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.83 % (30261)Termination reason: Unknown
% 3.16/0.83 % (30261)Termination phase: Property scanning
% 3.16/0.83
% 3.16/0.83 % (30261)Memory used [KB]: 2302
% 3.16/0.83 % (30261)Time elapsed: 0.031 s
% 3.16/0.83 % (30261)Instructions burned: 63 (million)
% 3.16/0.83 % (30261)------------------------------
% 3.16/0.83 % (30261)------------------------------
% 3.16/0.83 % (30263)Instruction limit reached!
% 3.16/0.83 % (30263)------------------------------
% 3.16/0.83 % (30263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.83 % (30263)Termination reason: Unknown
% 3.16/0.83 % (30263)Termination phase: Property scanning
% 3.16/0.83
% 3.16/0.83 % (30263)Memory used [KB]: 2430
% 3.16/0.83 % (30263)Time elapsed: 0.032 s
% 3.16/0.83 % (30263)Instructions burned: 96 (million)
% 3.16/0.83 % (30263)------------------------------
% 3.16/0.83 % (30263)------------------------------
% 3.16/0.84 % (30265)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.16/0.84 % (30266)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.16/0.85 % (30239)Instruction limit reached!
% 3.16/0.85 % (30239)------------------------------
% 3.16/0.85 % (30239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.85 % (30239)Termination reason: Unknown
% 3.16/0.85 % (30239)Termination phase: Saturation
% 3.16/0.85
% 3.16/0.85 % (30239)Memory used [KB]: 8955
% 3.16/0.85 % (30239)Time elapsed: 0.340 s
% 3.16/0.85 % (30239)Instructions burned: 879 (million)
% 3.16/0.85 % (30239)------------------------------
% 3.16/0.85 % (30239)------------------------------
% 3.41/0.86 % (30266)Instruction limit reached!
% 3.41/0.86 % (30266)------------------------------
% 3.41/0.86 % (30266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.87 % (30266)Termination reason: Unknown
% 3.41/0.87 % (30266)Termination phase: Preprocessing 3
% 3.41/0.87
% 3.41/0.87 % (30266)Memory used [KB]: 2302
% 3.41/0.87 % (30266)Time elapsed: 0.024 s
% 3.41/0.87 % (30266)Instructions burned: 86 (million)
% 3.41/0.87 % (30266)------------------------------
% 3.41/0.87 % (30266)------------------------------
% 3.41/0.87 % (30267)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 3.41/0.87 % (30265)Instruction limit reached!
% 3.41/0.87 % (30265)------------------------------
% 3.41/0.87 % (30265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.87 % (30265)Termination reason: Unknown
% 3.41/0.87 % (30265)Termination phase: Property scanning
% 3.41/0.87
% 3.41/0.87 % (30265)Memory used [KB]: 2430
% 3.41/0.87 % (30265)Time elapsed: 0.034 s
% 3.41/0.87 % (30265)Instructions burned: 71 (million)
% 3.41/0.87 % (30265)------------------------------
% 3.41/0.87 % (30265)------------------------------
% 3.41/0.87 % (30268)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 3.41/0.87 % (30267)Instruction limit reached!
% 3.41/0.87 % (30267)------------------------------
% 3.41/0.87 % (30267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.87 % (30267)Termination reason: Unknown
% 3.41/0.87 % (30267)Termination phase: shuffling
% 3.41/0.87
% 3.41/0.87 % (30267)Memory used [KB]: 1535
% 3.41/0.87 % (30267)Time elapsed: 0.007 s
% 3.41/0.87 % (30267)Instructions burned: 11 (million)
% 3.41/0.87 % (30267)------------------------------
% 3.41/0.87 % (30267)------------------------------
% 3.41/0.88 % (30253)Instruction limit reached!
% 3.41/0.88 % (30253)------------------------------
% 3.41/0.88 % (30253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.88 % (30253)Termination reason: Unknown
% 3.41/0.88 % (30253)Termination phase: Saturation
% 3.41/0.88
% 3.41/0.88 % (30253)Memory used [KB]: 7931
% 3.41/0.88 % (30253)Time elapsed: 0.207 s
% 3.41/0.88 % (30253)Instructions burned: 507 (million)
% 3.41/0.88 % (30253)------------------------------
% 3.41/0.88 % (30253)------------------------------
% 3.41/0.89 % (30268)Instruction limit reached!
% 3.41/0.89 % (30268)------------------------------
% 3.41/0.89 % (30268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.89 % (30268)Termination reason: Unknown
% 3.41/0.89 % (30268)Termination phase: Property scanning
% 3.41/0.89
% 3.41/0.89 % (30268)Memory used [KB]: 2302
% 3.41/0.89 % (30268)Time elapsed: 0.013 s
% 3.41/0.89 % (30268)Instructions burned: 43 (million)
% 3.41/0.89 % (30268)------------------------------
% 3.41/0.89 % (30268)------------------------------
% 3.41/0.89 % (30270)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 3.41/0.89 % (30271)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.41/0.89 % (30270)Instruction limit reached!
% 3.41/0.89 % (30270)------------------------------
% 3.41/0.89 % (30270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.89 % (30270)Termination reason: Unknown
% 3.41/0.89 % (30270)Termination phase: shuffling
% 3.41/0.89
% 3.41/0.89 % (30270)Memory used [KB]: 1535
% 3.41/0.89 % (30270)Time elapsed: 0.005 s
% 3.41/0.89 % (30270)Instructions burned: 7 (million)
% 3.41/0.89 % (30270)------------------------------
% 3.41/0.89 % (30270)------------------------------
% 3.41/0.89 % (30272)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2994ds/343Mi)
% 3.41/0.89 % (30273)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2994ds/109Mi)
% 3.80/0.90 % (30231)Instruction limit reached!
% 3.80/0.90 % (30231)------------------------------
% 3.80/0.90 % (30231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.80/0.90 % (30231)Termination reason: Unknown
% 3.80/0.90 % (30231)Termination phase: Saturation
% 3.80/0.90
% 3.80/0.90 % (30231)Memory used [KB]: 11257
% 3.80/0.90 % (30231)Time elapsed: 0.440 s
% 3.80/0.90 % (30231)Instructions burned: 903 (million)
% 3.80/0.90 % (30231)------------------------------
% 3.80/0.90 % (30231)------------------------------
% 3.80/0.91 % (30274)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 3.80/0.92 % (30273)Instruction limit reached!
% 3.80/0.92 % (30273)------------------------------
% 3.80/0.92 % (30273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.80/0.92 % (30273)Termination reason: Unknown
% 3.80/0.92 % (30273)Termination phase: Property scanning
% 3.80/0.92
% 3.80/0.92 % (30273)Memory used [KB]: 2558
% 3.80/0.92 % (30273)Time elapsed: 0.031 s
% 3.80/0.92 % (30273)Instructions burned: 112 (million)
% 3.80/0.92 % (30273)------------------------------
% 3.80/0.92 % (30273)------------------------------
% 3.80/0.92 % (30275)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.80/0.92 % (30260)Instruction limit reached!
% 3.80/0.92 % (30260)------------------------------
% 3.80/0.92 % (30260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.80/0.92 % (30260)Termination reason: Unknown
% 3.80/0.92 % (30260)Termination phase: Saturation
% 3.80/0.92
% 3.80/0.92 % (30260)Memory used [KB]: 2814
% 3.80/0.92 % (30260)Time elapsed: 0.135 s
% 3.80/0.92 % (30260)Instructions burned: 432 (million)
% 3.80/0.92 % (30260)------------------------------
% 3.80/0.92 % (30260)------------------------------
% 4.00/0.93 % (30276)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 4.00/0.93 % (30277)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 4.00/0.94 % (30264)Instruction limit reached!
% 4.00/0.94 % (30264)------------------------------
% 4.00/0.94 % (30264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/0.94 % (30264)Termination reason: Unknown
% 4.00/0.94 % (30264)Termination phase: Saturation
% 4.00/0.94
% 4.00/0.94 % (30264)Memory used [KB]: 7291
% 4.00/0.94 % (30264)Time elapsed: 0.113 s
% 4.00/0.94 % (30264)Instructions burned: 455 (million)
% 4.00/0.94 % (30264)------------------------------
% 4.00/0.94 % (30264)------------------------------
% 4.00/0.96 % (30278)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2994ds/339Mi)
% 4.00/0.96 % (30271)Instruction limit reached!
% 4.00/0.96 % (30271)------------------------------
% 4.00/0.96 % (30271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/0.96 % (30271)Termination reason: Unknown
% 4.00/0.96 % (30271)Termination phase: Property scanning
% 4.00/0.96
% 4.00/0.96 % (30271)Memory used [KB]: 4093
% 4.00/0.96 % (30271)Time elapsed: 0.070 s
% 4.00/0.96 % (30271)Instructions burned: 150 (million)
% 4.00/0.96 % (30271)------------------------------
% 4.00/0.96 % (30271)------------------------------
% 4.00/0.96 % (30275)Instruction limit reached!
% 4.00/0.96 % (30275)------------------------------
% 4.00/0.96 % (30275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/0.96 % (30275)Termination reason: Unknown
% 4.00/0.96 % (30275)Termination phase: Saturation
% 4.00/0.96
% 4.00/0.96 % (30275)Memory used [KB]: 6908
% 4.00/0.96 % (30275)Time elapsed: 0.037 s
% 4.00/0.96 % (30275)Instructions burned: 141 (million)
% 4.00/0.96 % (30275)------------------------------
% 4.00/0.96 % (30275)------------------------------
% 4.00/0.97 % (30280)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2993ds/134Mi)
% 4.00/0.97 % (30279)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=283:si=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 4.00/0.99 % (30274)Instruction limit reached!
% 4.00/0.99 % (30274)------------------------------
% 4.00/0.99 % (30274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/0.99 % (30274)Termination reason: Unknown
% 4.00/0.99 % (30274)Termination phase: Saturation
% 4.00/0.99
% 4.00/0.99 % (30274)Memory used [KB]: 9338
% 4.00/0.99 % (30274)Time elapsed: 0.083 s
% 4.00/0.99 % (30274)Instructions burned: 256 (million)
% 4.00/0.99 % (30274)------------------------------
% 4.00/0.99 % (30274)------------------------------
% 4.00/0.99 % (30277)Instruction limit reached!
% 4.00/0.99 % (30277)------------------------------
% 4.00/0.99 % (30277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/0.99 % (30277)Termination reason: Unknown
% 4.00/0.99 % (30277)Termination phase: Saturation
% 4.00/0.99
% 4.00/0.99 % (30277)Memory used [KB]: 4989
% 4.00/0.99 % (30277)Time elapsed: 0.062 s
% 4.00/0.99 % (30277)Instructions burned: 204 (million)
% 4.00/0.99 % (30277)------------------------------
% 4.00/0.99 % (30277)------------------------------
% 4.00/1.00 % (30257)First to succeed.
% 4.00/1.00 % (30272)Instruction limit reached!
% 4.00/1.00 % (30272)------------------------------
% 4.00/1.00 % (30272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/1.00 % (30272)Termination reason: Unknown
% 4.00/1.00 % (30272)Termination phase: Saturation
% 4.00/1.00
% 4.00/1.00 % (30272)Memory used [KB]: 8443
% 4.00/1.00 % (30272)Time elapsed: 0.108 s
% 4.00/1.00 % (30272)Instructions burned: 345 (million)
% 4.00/1.00 % (30272)------------------------------
% 4.00/1.00 % (30272)------------------------------
% 4.00/1.00 % (30257)Refutation found. Thanks to Tanya!
% 4.00/1.00 % SZS status Theorem for theBenchmark
% 4.00/1.00 % SZS output start Proof for theBenchmark
% 4.00/1.00 thf(func_def_0, type, in: $i > $i > $o).
% 4.00/1.00 thf(func_def_1, type, exu: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 4.00/1.00 thf(func_def_8, type, powerset: $i > $i).
% 4.00/1.00 thf(func_def_10, type, setunion: $i > $i).
% 4.00/1.00 thf(func_def_19, type, descr: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_26, type, prop2set: $o > $i).
% 4.00/1.00 thf(func_def_36, type, nonempty: $i > $o).
% 4.00/1.00 thf(func_def_69, type, set2prop: $i > $o).
% 4.00/1.00 thf(func_def_88, type, subset: $i > $i > $o).
% 4.00/1.00 thf(func_def_89, type, disjoint: $i > $i > $o).
% 4.00/1.00 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 4.00/1.00 thf(func_def_114, type, binunion: $i > $i > $i).
% 4.00/1.00 thf(func_def_122, type, binintersect: $i > $i > $i).
% 4.00/1.00 thf(func_def_135, type, regular: $i > $o).
% 4.00/1.00 thf(func_def_136, type, setminus: $i > $i > $i).
% 4.00/1.00 thf(func_def_147, type, symdiff: $i > $i > $i).
% 4.00/1.00 thf(func_def_153, type, iskpair: $i > $o).
% 4.00/1.00 thf(func_def_158, type, kpair: $i > $i > $i).
% 4.00/1.00 thf(func_def_160, type, cartprod: $i > $i > $i).
% 4.00/1.00 thf(func_def_177, type, singleton: $i > $o).
% 4.00/1.00 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_184, type, atmost1p: $i > $o).
% 4.00/1.00 thf(func_def_185, type, atleast2p: $i > $o).
% 4.00/1.00 thf(func_def_186, type, atmost2p: $i > $o).
% 4.00/1.00 thf(func_def_187, type, upairsetp: $i > $o).
% 4.00/1.00 thf(func_def_191, type, kfst: $i > $i).
% 4.00/1.00 thf(func_def_203, type, ksnd: $i > $i).
% 4.00/1.00 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 4.00/1.00 thf(func_def_222, type, func: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_223, type, funcSet: $i > $i > $i).
% 4.00/1.00 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 4.00/1.00 thf(func_def_277, type, sP0: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_279, type, sP2: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_281, type, sP4: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_282, type, sP5: $i > $i > ($i > $o) > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_283, type, sP6: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_284, type, sP7: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_285, type, sP8: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_287, type, sP10: $i > $o).
% 4.00/1.00 thf(func_def_288, type, sP11: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_289, type, sP12: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_290, type, sP13: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_292, type, sP15: $o > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_293, type, sP16: $i > $o > $i > $i > $o).
% 4.00/1.00 thf(func_def_294, type, sP17: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_295, type, sP18: ($i > $o) > $i > $i > $o).
% 4.00/1.00 thf(func_def_297, type, sP20: $o > $i > $i > $o).
% 4.00/1.00 thf(func_def_298, type, sP21: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_299, type, sP22: ($i > $o) > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_301, type, sP24: $i > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_302, type, sP25: $i > $i > $o).
% 4.00/1.00 thf(func_def_305, type, sP28: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_308, type, sP31: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_311, type, sP34: $i > $i > $o).
% 4.00/1.00 thf(func_def_313, type, sP36: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_314, type, sP37: $i > $i > $o).
% 4.00/1.00 thf(func_def_315, type, sP38: $i > $i > $o).
% 4.00/1.00 thf(func_def_316, type, sP39: $i > $i > $o).
% 4.00/1.00 thf(func_def_317, type, sP40: $i > $o).
% 4.00/1.00 thf(func_def_318, type, sP41: $i > $i > $o).
% 4.00/1.00 thf(func_def_319, type, sP42: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_320, type, sP43: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_322, type, sP45: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_329, type, sP52: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_330, type, sP53: $i > $i > ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_331, type, sP54: $o > $i > $i > $o).
% 4.00/1.00 thf(func_def_333, type, sP56: $o > $i > $i > $o).
% 4.00/1.00 thf(func_def_334, type, sP57: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_335, type, sP58: $i > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_336, type, sP59: $i > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_337, type, sP60: $i > ($i > $i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_338, type, sP61: $i > ($i > $i > $o) > $o).
% 4.00/1.00 thf(func_def_340, type, sP63: $i > ($i > $i) > $i > $o).
% 4.00/1.00 thf(func_def_342, type, sP65: $i > $i > $o).
% 4.00/1.00 thf(func_def_344, type, sP67: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_345, type, sP68: $i > $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_346, type, sP69: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_347, type, sP70: $i > $i > ($i > $i) > $o).
% 4.00/1.00 thf(func_def_349, type, sP72: ($i > $o) > $o).
% 4.00/1.00 thf(func_def_350, type, sP73: $i > $o).
% 4.00/1.00 thf(func_def_351, type, sP74: $i > $o).
% 4.00/1.00 thf(func_def_352, type, sP75: $i > ($i > $o) > $o).
% 4.00/1.00 thf(func_def_353, type, sP76: ($i > $o) > $i > $o).
% 4.00/1.00 thf(func_def_378, type, sK101: $i > $i > $o).
% 4.00/1.00 thf(func_def_399, type, sK122: $i > $o).
% 4.00/1.00 thf(func_def_401, type, sK124: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_402, type, sK125: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_403, type, sK126: $i > $i > $o).
% 4.00/1.00 thf(func_def_407, type, sK130: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_408, type, sK131: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_409, type, sK132: $i > $o).
% 4.00/1.00 thf(func_def_417, type, sK140: $i > $o).
% 4.00/1.00 thf(func_def_423, type, sK146: $i > $i > ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_424, type, sK147: $i > $i > ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_427, type, sK150: $i > $o).
% 4.00/1.00 thf(func_def_428, type, sK151: $i > $o).
% 4.00/1.00 thf(func_def_429, type, sK152: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_430, type, sK153: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_431, type, sK154: $i > $o).
% 4.00/1.00 thf(func_def_432, type, sK155: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_433, type, sK156: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_434, type, sK157: $i > $o).
% 4.00/1.00 thf(func_def_435, type, sK158: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_436, type, sK159: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_442, type, sK165: $i > $i > $i).
% 4.00/1.00 thf(func_def_452, type, sK175: $i > $o).
% 4.00/1.00 thf(func_def_454, type, sK177: $i > $o).
% 4.00/1.00 thf(func_def_463, type, sK186: $i > $i > $i).
% 4.00/1.00 thf(func_def_464, type, sK187: $i > $i).
% 4.00/1.00 thf(func_def_494, type, sK217: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_495, type, sK218: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_496, type, sK219: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_497, type, sK220: $i > $o).
% 4.00/1.00 thf(func_def_518, type, sK241: $i > $o).
% 4.00/1.00 thf(func_def_520, type, sK243: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_521, type, sK244: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_524, type, sK247: $i > $o).
% 4.00/1.00 thf(func_def_545, type, sK268: $i > $i > $o).
% 4.00/1.00 thf(func_def_581, type, sK304: $i > $i > $o).
% 4.00/1.00 thf(func_def_584, type, sK307: $i > $o).
% 4.00/1.00 thf(func_def_589, type, sK312: $i > $o).
% 4.00/1.00 thf(func_def_590, type, sK313: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_591, type, sK314: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_612, type, sK335: ($i > $o) > $i > $i > $i).
% 4.00/1.00 thf(func_def_613, type, sK336: $i > $o).
% 4.00/1.00 thf(func_def_616, type, sK339: $i > $i).
% 4.00/1.00 thf(func_def_619, type, sK342: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_624, type, sK347: $o > $i > $i > $i).
% 4.00/1.00 thf(func_def_637, type, sK360: ($i > $o) > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_638, type, sK361: ($i > $o) > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_639, type, sK362: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_643, type, sK366: $i > $o).
% 4.00/1.00 thf(func_def_653, type, sK376: $i > $o).
% 4.00/1.00 thf(func_def_654, type, sK377: $i > $o).
% 4.00/1.00 thf(func_def_655, type, sK378: ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_656, type, sK379: ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_657, type, sK380: $i > $i > $o).
% 4.00/1.00 thf(func_def_665, type, sK388: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_666, type, sK389: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_675, type, sK398: $i > $i > $i).
% 4.00/1.00 thf(func_def_679, type, sK402: $i > $i).
% 4.00/1.00 thf(func_def_682, type, sK405: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_688, type, sK411: $i > $o).
% 4.00/1.00 thf(func_def_689, type, sK412: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_690, type, sK413: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_696, type, sK419: $i > $o).
% 4.00/1.00 thf(func_def_697, type, sK420: $i > $o).
% 4.00/1.00 thf(func_def_698, type, sK421: ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_699, type, sK422: ($i > $o) > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_708, type, sK431: $i > $o).
% 4.00/1.00 thf(func_def_709, type, sK432: $i > $o).
% 4.00/1.00 thf(func_def_711, type, sK434: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_712, type, sK435: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_713, type, sK436: $i > $i).
% 4.00/1.00 thf(func_def_716, type, sK439: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_719, type, sK442: $i > $i > $i).
% 4.00/1.00 thf(func_def_720, type, sK443: $i > $i > $i).
% 4.00/1.00 thf(func_def_725, type, sK448: $i > $i > $i).
% 4.00/1.00 thf(func_def_726, type, sK449: $i > $i > $i).
% 4.00/1.00 thf(func_def_727, type, sK450: $i > $i > $i).
% 4.00/1.00 thf(func_def_728, type, sK451: $i > $i).
% 4.00/1.00 thf(func_def_729, type, sK452: $i > $i).
% 4.00/1.00 thf(func_def_730, type, sK453: $i > $i).
% 4.00/1.00 thf(func_def_731, type, sK454: $i > $i).
% 4.00/1.00 thf(func_def_732, type, sK455: $i > $i > $i).
% 4.00/1.00 thf(func_def_733, type, sK456: $i > $i > $i).
% 4.00/1.00 thf(func_def_734, type, sK457: $i > $i > $i).
% 4.00/1.00 thf(func_def_735, type, sK458: $i > $i > $i).
% 4.00/1.00 thf(func_def_736, type, sK459: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_737, type, sK460: $i > $i > $i).
% 4.00/1.00 thf(func_def_738, type, sK461: $i > $i > $i).
% 4.00/1.00 thf(func_def_739, type, sK462: $i > $i > $i).
% 4.00/1.00 thf(func_def_740, type, sK463: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_741, type, sK464: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_743, type, sK466: $i > $i).
% 4.00/1.00 thf(func_def_744, type, sK467: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_745, type, sK468: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_746, type, sK469: $i > $o).
% 4.00/1.00 thf(func_def_751, type, sK474: $i > $o).
% 4.00/1.00 thf(func_def_752, type, sK475: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_753, type, sK476: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_755, type, sK478: $i > $o).
% 4.00/1.00 thf(func_def_760, type, sK483: $i > $o).
% 4.00/1.00 thf(func_def_762, type, sK485: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_763, type, sK486: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_764, type, sK487: $i > $o).
% 4.00/1.00 thf(func_def_777, type, sK500: $i > $i).
% 4.00/1.00 thf(func_def_780, type, sK503: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_796, type, sK519: $i > $o).
% 4.00/1.00 thf(func_def_805, type, sK528: $i > $i > $i).
% 4.00/1.00 thf(func_def_814, type, sK537: $i > $i > $i).
% 4.00/1.00 thf(func_def_819, type, sK542: $i > $i).
% 4.00/1.00 thf(func_def_826, type, sK549: $i > $i > $i).
% 4.00/1.00 thf(func_def_828, type, sK551: $i > $i > $o).
% 4.00/1.00 thf(func_def_833, type, sK556: $i > $i).
% 4.00/1.00 thf(func_def_846, type, sK569: $i > $i > $i).
% 4.00/1.00 thf(func_def_856, type, sK579: $i > $i).
% 4.00/1.00 thf(func_def_862, type, sK585: $i > $o).
% 4.00/1.00 thf(func_def_864, type, sK587: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_866, type, sK589: $i > $o).
% 4.00/1.00 thf(func_def_868, type, sK591: $i > $i > ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_869, type, sK592: $i > $i > ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_870, type, sK593: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_874, type, sK597: $i > $o).
% 4.00/1.00 thf(func_def_888, type, sK611: $i > $i > $o).
% 4.00/1.00 thf(func_def_902, type, sK625: $i > $i > $i > $o).
% 4.00/1.00 thf(func_def_906, type, sK629: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_907, type, sK630: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_908, type, sK631: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_909, type, sK632: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_920, type, sK643: $i > $i > $o).
% 4.00/1.00 thf(func_def_922, type, sK645: $i > ($i > $i > $o) > $i).
% 4.00/1.00 thf(func_def_923, type, sK646: $i > $i > ($i > $i > $o) > $i).
% 4.00/1.00 thf(func_def_924, type, sK647: $i > ($i > $i > $o) > $i).
% 4.00/1.00 thf(func_def_925, type, sK648: $i > ($i > $i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_928, type, sK651: $i > $i).
% 4.00/1.00 thf(func_def_929, type, sK652: ($i > $i) > $i > $i > $i).
% 4.00/1.00 thf(func_def_930, type, sK653: $i > ($i > $i) > $i > $i).
% 4.00/1.00 thf(func_def_933, type, sK656: $i > $o).
% 4.00/1.00 thf(func_def_942, type, sK665: $i > $i > $i).
% 4.00/1.00 thf(func_def_943, type, sK666: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_944, type, sK667: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_967, type, sK690: $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_968, type, sK691: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_969, type, sK692: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_970, type, sK693: $i > $i > $i > $i > $i).
% 4.00/1.00 thf(func_def_979, type, sK702: $i > $i).
% 4.00/1.00 thf(func_def_981, type, sK704: $i > ($i > $i) > $i > $i).
% 4.00/1.00 thf(func_def_982, type, sK705: $i > $i > ($i > $i) > $i).
% 4.00/1.00 thf(func_def_983, type, sK706: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_984, type, sK707: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_985, type, sK708: $i > $o).
% 4.00/1.00 thf(func_def_1005, type, sK728: $i > $i).
% 4.00/1.00 thf(func_def_1006, type, sK729: $i > $i).
% 4.00/1.00 thf(func_def_1017, type, sK740: $i > $i).
% 4.00/1.00 thf(func_def_1019, type, sK742: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_1020, type, sK743: ($i > $o) > $i > $i).
% 4.00/1.00 thf(func_def_1021, type, sK744: $i > ($i > $o) > $i).
% 4.00/1.00 thf(func_def_1023, type, sK746: $i > $o).
% 4.00/1.00 thf(func_def_1028, type, sK751: $i > $o).
% 4.00/1.00 thf(func_def_1038, type, sK761: $i > $i > $i).
% 4.00/1.00 thf(func_def_1045, type, sK768: $i > $o).
% 4.00/1.00 thf(func_def_1046, type, sK769: ($i > $o) > $i).
% 4.00/1.00 thf(func_def_1052, type, ph775: !>[X0: $tType]:(X0)).
% 4.00/1.00 thf(f6911,plain,(
% 4.00/1.00 $false),
% 4.00/1.00 inference(subsumption_resolution,[],[f6910,f2715])).
% 4.00/1.00 thf(f2715,plain,(
% 4.00/1.00 ($true = (in @ sK198 @ sK195))),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f1309,plain,(
% 4.00/1.00 (ubforcartprodlem1 = $true) & (replAx = $true) & (setukpairIR = $true) & (singletonsuniq = $true) & ((($true != (in @ (if @ sK195 @ sK196 @ sK197 @ sK198) @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset)))) & ($true = (in @ sK198 @ sK195))) & ($true = (in @ sK197 @ sK195))) & (funcGraphProp1 = $true) & (exuE1 = $true) & (setminusERneg = $true) & (setukpairinjL1 = $true) & (setminusLsub = $true) & (setminusER = $true) & (notdexE = $true) & (omega0Ax = $true) & (setunionI = $true) & (binunionLsub = $true) & (dpsetconstrER = $true) & (singletonsubset = $true) & (ubforcartprodlem3 = $true) & (ifp = $true) & (subsetTrans = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (binintersectSubset3 = $true) & (singletonprop = $true) & (singletonsswitch = $true) & (ksndsingleton = $true) & (notdallE = $true) & (funcinfuncset = $true) & (cartprodmempair1 = $true) & (omega__Cong = $true) & (dsetconstrEL = $true) & (subset2powerset = $true) & (cartprodpairin = $true) & (eqimpsubset2 = $true) & (disjointsetsI1 = $true) & (setukpairinjR2 = $true) & (dpsetconstrEL2 = $true) & (cartprodsndin = $true) & (dsetconstrI = $true) & (cartprodfstpairEq = $true) & (bs114d = $true) & (beta2 = $true) & (upairsubunion = $true) & (setadjoin__Cong = $true) & (notsubsetI = $true) & (setext = $true) & (binintersectEL = $true) & (sepSubset = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (apProp = $true) & (omegaIndAx = $true) & (ex1I = $true) & (iftrueProp1 = $true) & (ex1I2 = $true) & (subsetRefl = $true) & (funcext2 = $true) & (subsetE2 = $true) & (dsetconstr__Cong = $true) & (subbreln = $true) & (setminusSubset1 = $true) & (exuEu = $true) & (setminusILneg = $true) & (dpsetconstrI = $true) & (setukpairinjR = $true) & (cartprodmempair = $true) & (setukpairinjR11 = $true) & (cartprodpairmemEL = $true) & (binunionIR = $true) & (emptysetE = $true) & (setunionE = $true) & (powersetE = $true) & (notinemptyset = $true) & (wellorderingAx = $true) & (subsetI2 = $true) & (notequalI2 = $true) & (setextsub = $true) & (setukpairinjR12 = $true) & (binintersectSubset4 = $true) & (funcImageSingleton = $true) & (notinsingleton = $true) & (ksndpairEq = $true) & (ubforcartprodlem2 = $true) & (symdiffIneg1 = $true) & (setunionAx = $true) & (prop2set2propI = $true) & (upairset2E = $true) & (brelnall2 = $true) & (setextAx = $true) & (funcGraphProp4 = $true) & (setbeta = $true) & (kfstpairEq = $true) & (setoftrueEq = $true) & (dpsetconstrEL1 = $true) & (symdiffI1 = $true) & (setminusEL = $true) & (exuE3e = $true) & (powersetI1 = $true) & (ap2apEq1 = $true) & (setminusI = $true) & (powersetE1 = $true) & (binintersectER = $true) & (kpairsurjEq = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (upairequniteq = $true) & (beta1 = $true) & (binintersectRsub = $true) & (exuI1 = $true) & (sepInPowerset = $true) & (ifSingleton = $true) & (eta2 = $true) & (setadjoinIR = $true) & (powerset__Cong = $true) & (emptyset__Cong = $true) & (exuI2 = $true) & (omegaSAx = $true) & (singletoninpowunion = $true) & (setadjoinE = $true) & (quantDeMorgan1 = $true) & (symdiffIneg2 = $true) & (app = $true) & (notequalI1 = $true) & (exuE3u = $true) & (setadjoinSub = $true) & (nonemptyImpWitness = $true) & (nonemptyE1 = $true) & (brelnall1 = $true) & (uniqinunit = $true) & (emptyinunitempty = $true) & (binunionRsub = $true) & (cartprodpairsurjEq = $true) & (binunionEcases = $true) & (setukpairinjR1 = $true) & (symdiffI2 = $true) & (iftrueProp2 = $true) & (setminusIRneg = $true) & (descrp = $true) & (setadjoinSub2 = $true) & (lam2p = $true) & (subsetE = $true) & (ex1E2 = $true) & (upairinpowunion = $true) & (dsetconstrER = $true) & (upairsetIL = $true) & (emptysetsubset = $true) & (subsetemptysetimpeq = $true) & (setminusELneg = $true) & (upairsetE = $true) & (emptyInPowerset = $true) & (setukpairinjL = $true) & (iffalseProp1 = $true) & (powersetAx = $true) & (setminusSubset2 = $true) & (subPowSU = $true) & (binintersectI = $true) & (exu__Cong = $true) & (foundationAx = $true) & (setunionsingleton2 = $true) & (symdiffE = $true) & (secondinupair = $true) & (infuncsetfunc = $true) & (theeq = $true) & (funcext = $true) & (nonemptyI1 = $true) & (binintersectSubset2 = $true) & (setunion__Cong = $true) & (kfstsingleton = $true) & (setadjoinOr = $true) & (binintersectSubset1 = $true) & (eta1 = $true) & (inCongP = $true) & (eqimpsubset1 = $true) & (binunionIL = $true) & (prop2setI = $true) & (binunionE = $true) & (funcextLem = $true) & (lamp = $true) & (theprop = $true) & (cartprodmempaircEq = $true) & (binintersectSubset5 = $true) & (kpairiskpair = $true) & (setOfPairsIsBReln = $true) & (setukpairIL = $true) & (cartprodsndpairEq = $true) & (setunionsingleton = $true) & (dpsetconstrSub = $true) & (funcGraphProp3 = $true) & (eqbreln = $true) & (iffalseProp2 = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (vacuousDall = $true) & (kpairp = $true) & (inPowerset = $true) & (iftrue = $true) & (emptyinPowerset = $true) & (descr__Cong = $true) & (powersetI = $true) & (quantDeMorgan4 = $true) & (dpsetconstrERa = $true) & (powersetsubset = $true) & (cartprodfstin = $true) & (eqinunit = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (binintersectLsub = $true) & (ex1E1 = $true) & (ap2apEq2 = $true) & (quantDeMorgan3 = $true) & (upairset2IR = $true) & (emptysetimpfalse = $true) & (setunionE2 = $true) & (iffalse = $true) & (singletoninpowerset = $true) & (lamProp = $true) & (emptyI = $true) & (prop2setE = $true) & (cartprodpairmemER = $true) & (subsetI1 = $true) & (lam2lamEq = $true) & (ap2p = $true) & (emptyE1 = $true) & (noeltsimpempty = $true) & (funcGraphProp2 = $true) & (setukpairinjL2 = $true)),
% 4.00/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK195,sK196,sK197,sK198])],[f803,f1308,f1307])).
% 4.00/1.00 thf(f1307,plain,(
% 4.00/1.00 ? [X0,X1 : $o,X2] : (? [X3] : (((in @ (if @ X0 @ X1 @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) != $true) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) => (? [X3] : (($true != (in @ (if @ sK195 @ sK196 @ sK197 @ X3) @ (setadjoin @ sK197 @ (setadjoin @ X3 @ emptyset)))) & ($true = (in @ X3 @ sK195))) & ($true = (in @ sK197 @ sK195)))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f1308,plain,(
% 4.00/1.00 ? [X3] : (($true != (in @ (if @ sK195 @ sK196 @ sK197 @ X3) @ (setadjoin @ sK197 @ (setadjoin @ X3 @ emptyset)))) & ($true = (in @ X3 @ sK195))) => (($true != (in @ (if @ sK195 @ sK196 @ sK197 @ sK198) @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset)))) & ($true = (in @ sK198 @ sK195)))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f803,plain,(
% 4.00/1.00 (ubforcartprodlem1 = $true) & (replAx = $true) & (setukpairIR = $true) & (singletonsuniq = $true) & ? [X0,X1 : $o,X2] : (? [X3] : (((in @ (if @ X0 @ X1 @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) != $true) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) & (funcGraphProp1 = $true) & (exuE1 = $true) & (setminusERneg = $true) & (setukpairinjL1 = $true) & (setminusLsub = $true) & (setminusER = $true) & (notdexE = $true) & (omega0Ax = $true) & (setunionI = $true) & (binunionLsub = $true) & (dpsetconstrER = $true) & (singletonsubset = $true) & (ubforcartprodlem3 = $true) & (ifp = $true) & (subsetTrans = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (binintersectSubset3 = $true) & (singletonprop = $true) & (singletonsswitch = $true) & (ksndsingleton = $true) & (notdallE = $true) & (funcinfuncset = $true) & (cartprodmempair1 = $true) & (omega__Cong = $true) & (dsetconstrEL = $true) & (subset2powerset = $true) & (cartprodpairin = $true) & (eqimpsubset2 = $true) & (disjointsetsI1 = $true) & (setukpairinjR2 = $true) & (dpsetconstrEL2 = $true) & (cartprodsndin = $true) & (dsetconstrI = $true) & (cartprodfstpairEq = $true) & (bs114d = $true) & (beta2 = $true) & (upairsubunion = $true) & (setadjoin__Cong = $true) & (notsubsetI = $true) & (setext = $true) & (binintersectEL = $true) & (sepSubset = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (apProp = $true) & (omegaIndAx = $true) & (ex1I = $true) & (iftrueProp1 = $true) & (ex1I2 = $true) & (subsetRefl = $true) & (funcext2 = $true) & (subsetE2 = $true) & (dsetconstr__Cong = $true) & (subbreln = $true) & (setminusSubset1 = $true) & (exuEu = $true) & (setminusILneg = $true) & (dpsetconstrI = $true) & (setukpairinjR = $true) & (cartprodmempair = $true) & (setukpairinjR11 = $true) & (cartprodpairmemEL = $true) & (binunionIR = $true) & (emptysetE = $true) & (setunionE = $true) & (powersetE = $true) & (notinemptyset = $true) & (wellorderingAx = $true) & (subsetI2 = $true) & (notequalI2 = $true) & (setextsub = $true) & (setukpairinjR12 = $true) & (binintersectSubset4 = $true) & (funcImageSingleton = $true) & (notinsingleton = $true) & (ksndpairEq = $true) & (ubforcartprodlem2 = $true) & (symdiffIneg1 = $true) & (setunionAx = $true) & (prop2set2propI = $true) & (upairset2E = $true) & (brelnall2 = $true) & (setextAx = $true) & (funcGraphProp4 = $true) & (setbeta = $true) & (kfstpairEq = $true) & (setoftrueEq = $true) & (dpsetconstrEL1 = $true) & (symdiffI1 = $true) & (setminusEL = $true) & (exuE3e = $true) & (powersetI1 = $true) & (ap2apEq1 = $true) & (setminusI = $true) & (powersetE1 = $true) & (binintersectER = $true) & (kpairsurjEq = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (upairequniteq = $true) & (beta1 = $true) & (binintersectRsub = $true) & (exuI1 = $true) & (sepInPowerset = $true) & (ifSingleton = $true) & (eta2 = $true) & (setadjoinIR = $true) & (powerset__Cong = $true) & (emptyset__Cong = $true) & (exuI2 = $true) & (omegaSAx = $true) & (singletoninpowunion = $true) & (setadjoinE = $true) & (quantDeMorgan1 = $true) & (symdiffIneg2 = $true) & (app = $true) & (notequalI1 = $true) & (exuE3u = $true) & (setadjoinSub = $true) & (nonemptyImpWitness = $true) & (nonemptyE1 = $true) & (brelnall1 = $true) & (uniqinunit = $true) & (emptyinunitempty = $true) & (binunionRsub = $true) & (cartprodpairsurjEq = $true) & (binunionEcases = $true) & (setukpairinjR1 = $true) & (symdiffI2 = $true) & (iftrueProp2 = $true) & (setminusIRneg = $true) & (descrp = $true) & (setadjoinSub2 = $true) & (lam2p = $true) & (subsetE = $true) & (ex1E2 = $true) & (upairinpowunion = $true) & (dsetconstrER = $true) & (upairsetIL = $true) & (emptysetsubset = $true) & (subsetemptysetimpeq = $true) & (setminusELneg = $true) & (upairsetE = $true) & (emptyInPowerset = $true) & (setukpairinjL = $true) & (iffalseProp1 = $true) & (powersetAx = $true) & (setminusSubset2 = $true) & (subPowSU = $true) & (binintersectI = $true) & (exu__Cong = $true) & (foundationAx = $true) & (setunionsingleton2 = $true) & (symdiffE = $true) & (secondinupair = $true) & (infuncsetfunc = $true) & (theeq = $true) & (funcext = $true) & (nonemptyI1 = $true) & (binintersectSubset2 = $true) & (setunion__Cong = $true) & (kfstsingleton = $true) & (setadjoinOr = $true) & (binintersectSubset1 = $true) & (eta1 = $true) & (inCongP = $true) & (eqimpsubset1 = $true) & (binunionIL = $true) & (prop2setI = $true) & (binunionE = $true) & (funcextLem = $true) & (lamp = $true) & (theprop = $true) & (cartprodmempaircEq = $true) & (binintersectSubset5 = $true) & (kpairiskpair = $true) & (setOfPairsIsBReln = $true) & (setukpairIL = $true) & (cartprodsndpairEq = $true) & (setunionsingleton = $true) & (dpsetconstrSub = $true) & (funcGraphProp3 = $true) & (eqbreln = $true) & (iffalseProp2 = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (vacuousDall = $true) & (kpairp = $true) & (inPowerset = $true) & (iftrue = $true) & (emptyinPowerset = $true) & (descr__Cong = $true) & (powersetI = $true) & (quantDeMorgan4 = $true) & (dpsetconstrERa = $true) & (powersetsubset = $true) & (cartprodfstin = $true) & (eqinunit = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (binintersectLsub = $true) & (ex1E1 = $true) & (ap2apEq2 = $true) & (quantDeMorgan3 = $true) & (upairset2IR = $true) & (emptysetimpfalse = $true) & (setunionE2 = $true) & (iffalse = $true) & (singletoninpowerset = $true) & (lamProp = $true) & (emptyI = $true) & (prop2setE = $true) & (cartprodpairmemER = $true) & (subsetI1 = $true) & (lam2lamEq = $true) & (ap2p = $true) & (emptyE1 = $true) & (noeltsimpempty = $true) & (funcGraphProp2 = $true) & (setukpairinjL2 = $true)),
% 4.00/1.00 inference(flattening,[],[f802])).
% 4.00/1.00 thf(f802,plain,(
% 4.00/1.00 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1 : $o,X2] : (? [X3] : (((in @ (if @ X0 @ X1 @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) != $true) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) & (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)),
% 4.00/1.00 inference(ennf_transformation,[],[f541])).
% 4.00/1.00 thf(f541,plain,(
% 4.00/1.00 ~((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) => ! [X0,X1 : $o,X2] : (($true = (in @ X2 @ X0)) => ! [X3] : (($true = (in @ X3 @ X0)) => ((in @ (if @ X0 @ X1 @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.00/1.00 inference(fool_elimination,[],[f540])).
% 4.00/1.00 thf(f540,plain,(
% 4.00/1.00 ~(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 => ! [X0,X1 : $o,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (in @ (if @ X0 @ X1 @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.00/1.00 inference(rectify,[],[f231])).
% 4.00/1.00 thf(f231,negated_conjecture,(
% 4.00/1.00 ~(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 => ! [X3,X0 : $o,X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => (in @ (if @ X3 @ X0 @ X1 @ X2) @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.00/1.00 inference(negated_conjecture,[],[f230])).
% 4.00/1.00 thf(f230,conjecture,(
% 4.00/1.00 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 => ! [X3,X0 : $o,X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => (in @ (if @ X3 @ X0 @ X1 @ X2) @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iftrueorfalse)).
% 4.00/1.00 thf(f6910,plain,(
% 4.00/1.00 ($true != (in @ sK198 @ sK195))),
% 4.00/1.00 inference(subsumption_resolution,[],[f6909,f2714])).
% 4.00/1.00 thf(f2714,plain,(
% 4.00/1.00 ($true = (in @ sK197 @ sK195))),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f6909,plain,(
% 4.00/1.00 ($true != (in @ sK197 @ sK195)) | ($true != (in @ sK198 @ sK195))),
% 4.00/1.00 inference(subsumption_resolution,[],[f6903,f4547])).
% 4.00/1.00 thf(f4547,plain,(
% 4.00/1.00 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setadjoin @ X0 @ X1)))) )),
% 4.00/1.00 inference(trivial_inequality_removal,[],[f4267])).
% 4.00/1.00 thf(f4267,plain,(
% 4.00/1.00 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = (in @ X0 @ (setadjoin @ X0 @ X1)))) )),
% 4.00/1.00 inference(definition_unfolding,[],[f3557,f2528])).
% 4.00/1.00 thf(f2528,plain,(
% 4.00/1.00 (setadjoinIL = $true)),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f3557,plain,(
% 4.00/1.00 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setadjoin @ X0 @ X1))) | (setadjoinIL != $true)) )),
% 4.00/1.00 inference(cnf_transformation,[],[f2293])).
% 4.00/1.00 thf(f2293,plain,(
% 4.00/1.00 (! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X0 @ X1))) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ($true != (in @ sK754 @ (setadjoin @ sK754 @ sK755))))),
% 4.00/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK754,sK755])],[f2291,f2292])).
% 4.00/1.00 thf(f2292,plain,(
% 4.00/1.00 ? [X2,X3] : ($true != (in @ X2 @ (setadjoin @ X2 @ X3))) => ($true != (in @ sK754 @ (setadjoin @ sK754 @ sK755)))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f2291,plain,(
% 4.00/1.00 (! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X0 @ X1))) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X2,X3] : ($true != (in @ X2 @ (setadjoin @ X2 @ X3))))),
% 4.00/1.00 inference(rectify,[],[f2290])).
% 4.00/1.00 thf(f2290,plain,(
% 4.00/1.00 (! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X0 @ X1))) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X0 @ X1))))),
% 4.00/1.00 inference(nnf_transformation,[],[f422])).
% 4.00/1.00 thf(f422,plain,(
% 4.00/1.00 ! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X0 @ X1))) <=> (setadjoinIL = $true)),
% 4.00/1.00 inference(fool_elimination,[],[f421])).
% 4.00/1.00 thf(f421,plain,(
% 4.00/1.00 (! [X0,X1] : (in @ X0 @ (setadjoin @ X0 @ X1)) = setadjoinIL)),
% 4.00/1.00 inference(rectify,[],[f31])).
% 4.00/1.00 thf(f31,axiom,(
% 4.00/1.00 (! [X1,X2] : (in @ X1 @ (setadjoin @ X1 @ X2)) = setadjoinIL)),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL)).
% 4.00/1.00 thf(f6903,plain,(
% 4.00/1.00 ($true != (in @ sK197 @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset)))) | ($true != (in @ sK197 @ sK195)) | ($true != (in @ sK198 @ sK195))),
% 4.00/1.00 inference(superposition,[],[f6892,f4593])).
% 4.00/1.00 thf(f4593,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((if @ X2 @ $true @ X1 @ X3) = X1) | ((in @ X1 @ X2) != $true) | ($true != (in @ X3 @ X2))) )),
% 4.00/1.00 inference(trivial_inequality_removal,[],[f4306])).
% 4.00/1.00 thf(f4306,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true != $true) | ($true != (in @ X3 @ X2)) | ((in @ X1 @ X2) != $true) | ((if @ X2 @ $true @ X1 @ X3) = X1)) )),
% 4.00/1.00 inference(equality_resolution,[],[f3936])).
% 4.00/1.00 thf(f3936,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((in @ X1 @ X2) != $true) | ($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1) | ($true != $true)) )),
% 4.00/1.00 inference(definition_unfolding,[],[f3024,f2523])).
% 4.00/1.00 thf(f2523,plain,(
% 4.00/1.00 (iftrue = $true)),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f3024,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((in @ X1 @ X2) != $true) | ($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1) | (iftrue != $true)) )),
% 4.00/1.00 inference(cnf_transformation,[],[f1674])).
% 4.00/1.00 thf(f1674,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (((in @ X1 @ X2) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1))) | (iftrue != $true)) & ((iftrue = $true) | (($true = (in @ sK407 @ sK408)) & (($true = (in @ sK409 @ sK408)) & (sK406 = $true) & ((if @ sK408 @ sK406 @ sK407 @ sK409) != sK407))))),
% 4.00/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK406,sK407,sK408,sK409])],[f1671,f1673,f1672])).
% 4.00/1.00 thf(f1672,plain,(
% 4.00/1.00 ? [X4 : $o,X5,X6] : (($true = (in @ X5 @ X6)) & ? [X7] : (($true = (in @ X7 @ X6)) & ($true = X4) & ((if @ X6 @ X4 @ X5 @ X7) != X5))) => (($true = (in @ sK407 @ sK408)) & ? [X7] : (($true = (in @ X7 @ sK408)) & (sK406 = $true) & ((if @ sK408 @ sK406 @ sK407 @ X7) != sK407)))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f1673,plain,(
% 4.00/1.00 ? [X7] : (($true = (in @ X7 @ sK408)) & (sK406 = $true) & ((if @ sK408 @ sK406 @ sK407 @ X7) != sK407)) => (($true = (in @ sK409 @ sK408)) & (sK406 = $true) & ((if @ sK408 @ sK406 @ sK407 @ sK409) != sK407))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f1671,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (((in @ X1 @ X2) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1))) | (iftrue != $true)) & ((iftrue = $true) | ? [X4 : $o,X5,X6] : (($true = (in @ X5 @ X6)) & ? [X7] : (($true = (in @ X7 @ X6)) & ($true = X4) & ((if @ X6 @ X4 @ X5 @ X7) != X5))))),
% 4.00/1.00 inference(rectify,[],[f1670])).
% 4.00/1.00 thf(f1670,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (((in @ X1 @ X2) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1))) | (iftrue != $true)) & ((iftrue = $true) | ? [X0 : $o,X1,X2] : (((in @ X1 @ X2) = $true) & ? [X3] : (($true = (in @ X3 @ X2)) & ($true = X0) & ((if @ X2 @ X0 @ X1 @ X3) != X1))))),
% 4.00/1.00 inference(nnf_transformation,[],[f761])).
% 4.00/1.00 thf(f761,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (((in @ X1 @ X2) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ($true != X0) | ((if @ X2 @ X0 @ X1 @ X3) = X1))) <=> (iftrue = $true)),
% 4.00/1.00 inference(flattening,[],[f760])).
% 4.00/1.00 thf(f760,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (! [X3] : ((((if @ X2 @ X0 @ X1 @ X3) = X1) | ($true != X0)) | ($true != (in @ X3 @ X2))) | ((in @ X1 @ X2) != $true)) <=> (iftrue = $true)),
% 4.00/1.00 inference(ennf_transformation,[],[f458])).
% 4.00/1.00 thf(f458,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (((in @ X1 @ X2) = $true) => ! [X3] : (($true = (in @ X3 @ X2)) => (($true = X0) => ((if @ X2 @ X0 @ X1 @ X3) = X1)))) <=> (iftrue = $true)),
% 4.00/1.00 inference(fool_elimination,[],[f457])).
% 4.00/1.00 thf(f457,plain,(
% 4.00/1.00 (iftrue = ! [X0 : $o,X1,X2] : ((in @ X1 @ X2) => ! [X3] : ((in @ X3 @ X2) => (X0 => ((if @ X2 @ X0 @ X1 @ X3) = X1)))))),
% 4.00/1.00 inference(rectify,[],[f228])).
% 4.00/1.00 thf(f228,axiom,(
% 4.00/1.00 (iftrue = ! [X0 : $o,X1,X3] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => (X0 => ((if @ X3 @ X0 @ X1 @ X2) = X1)))))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iftrue)).
% 4.00/1.00 thf(f6892,plain,(
% 4.00/1.00 ($true != (in @ (if @ sK195 @ $true @ sK197 @ sK198) @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset))))),
% 4.00/1.00 inference(backward_demodulation,[],[f2716,f6891])).
% 4.00/1.00 thf(f6891,plain,(
% 4.00/1.00 ($true = sK196)),
% 4.00/1.00 inference(subsumption_resolution,[],[f6890,f2714])).
% 4.00/1.00 thf(f6890,plain,(
% 4.00/1.00 ($true = sK196) | ($true != (in @ sK197 @ sK195))),
% 4.00/1.00 inference(subsumption_resolution,[],[f6889,f4448])).
% 4.00/1.00 thf(f4448,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))))) )),
% 4.00/1.00 inference(trivial_inequality_removal,[],[f4288])).
% 4.00/1.00 thf(f4288,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | ($true != $true)) )),
% 4.00/1.00 inference(definition_unfolding,[],[f3580,f2527])).
% 4.00/1.00 thf(f2527,plain,(
% 4.00/1.00 (upairsetIR = $true)),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f3580,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIR != $true)) )),
% 4.00/1.00 inference(cnf_transformation,[],[f2325])).
% 4.00/1.00 thf(f2325,plain,(
% 4.00/1.00 ((upairsetIR = $true) | ((in @ sK772 @ (setadjoin @ sK773 @ (setadjoin @ sK772 @ emptyset))) != $true)) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIR != $true))),
% 4.00/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK772,sK773])],[f2323,f2324])).
% 4.00/1.00 thf(f2324,plain,(
% 4.00/1.00 ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) => ((in @ sK772 @ (setadjoin @ sK773 @ (setadjoin @ sK772 @ emptyset))) != $true)),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f2323,plain,(
% 4.00/1.00 ((upairsetIR = $true) | ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairsetIR != $true))),
% 4.00/1.00 inference(rectify,[],[f2322])).
% 4.00/1.00 thf(f2322,plain,(
% 4.00/1.00 ((upairsetIR = $true) | ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) | (upairsetIR != $true))),
% 4.00/1.00 inference(nnf_transformation,[],[f462])).
% 4.00/1.00 thf(f462,plain,(
% 4.00/1.00 (upairsetIR = $true) <=> ! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 4.00/1.00 inference(fool_elimination,[],[f461])).
% 4.00/1.00 thf(f461,plain,(
% 4.00/1.00 (upairsetIR = ! [X0,X1] : (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 4.00/1.00 inference(rectify,[],[f52])).
% 4.00/1.00 thf(f52,axiom,(
% 4.00/1.00 (upairsetIR = ! [X2,X1] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR)).
% 4.00/1.00 thf(f6889,plain,(
% 4.00/1.00 ($true != (in @ sK198 @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset)))) | ($true != (in @ sK197 @ sK195)) | ($true = sK196)),
% 4.00/1.00 inference(subsumption_resolution,[],[f6884,f2715])).
% 4.00/1.00 thf(f6884,plain,(
% 4.00/1.00 ($true != (in @ sK198 @ sK195)) | ($true != (in @ sK198 @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset)))) | ($true = sK196) | ($true != (in @ sK197 @ sK195))),
% 4.00/1.00 inference(superposition,[],[f2716,f4552])).
% 4.00/1.00 thf(f4552,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true = X0) | ($true != (in @ X3 @ X1)) | ($true != (in @ X2 @ X1))) )),
% 4.00/1.00 inference(trivial_inequality_removal,[],[f3774])).
% 4.00/1.00 thf(f3774,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true != $true) | ((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true = X0) | ($true != (in @ X2 @ X1)) | ($true != (in @ X3 @ X1))) )),
% 4.00/1.00 inference(definition_unfolding,[],[f2810,f2505])).
% 4.00/1.00 thf(f2505,plain,(
% 4.00/1.00 (iffalse = $true)),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 thf(f2810,plain,(
% 4.00/1.00 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true != (in @ X3 @ X1)) | ($true = X0) | ($true != (in @ X2 @ X1)) | (iffalse != $true)) )),
% 4.00/1.00 inference(cnf_transformation,[],[f1414])).
% 4.00/1.00 thf(f1414,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (! [X3] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true != (in @ X3 @ X1)) | ($true = X0)) | ($true != (in @ X2 @ X1))) | (iffalse != $true)) & ((iffalse = $true) | ((((if @ sK258 @ sK257 @ sK259 @ sK260) != sK260) & ($true = (in @ sK260 @ sK258)) & ($true != sK257)) & ($true = (in @ sK259 @ sK258))))),
% 4.00/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK257,sK258,sK259,sK260])],[f1411,f1413,f1412])).
% 4.00/1.00 thf(f1412,plain,(
% 4.00/1.00 ? [X4 : $o,X5,X6] : (? [X7] : (((if @ X5 @ X4 @ X6 @ X7) != X7) & ($true = (in @ X7 @ X5)) & ($true != X4)) & ($true = (in @ X6 @ X5))) => (? [X7] : (((if @ sK258 @ sK257 @ sK259 @ X7) != X7) & ($true = (in @ X7 @ sK258)) & ($true != sK257)) & ($true = (in @ sK259 @ sK258)))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f1413,plain,(
% 4.00/1.00 ? [X7] : (((if @ sK258 @ sK257 @ sK259 @ X7) != X7) & ($true = (in @ X7 @ sK258)) & ($true != sK257)) => (((if @ sK258 @ sK257 @ sK259 @ sK260) != sK260) & ($true = (in @ sK260 @ sK258)) & ($true != sK257))),
% 4.00/1.00 introduced(choice_axiom,[])).
% 4.00/1.00 thf(f1411,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (! [X3] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true != (in @ X3 @ X1)) | ($true = X0)) | ($true != (in @ X2 @ X1))) | (iffalse != $true)) & ((iffalse = $true) | ? [X4 : $o,X5,X6] : (? [X7] : (((if @ X5 @ X4 @ X6 @ X7) != X7) & ($true = (in @ X7 @ X5)) & ($true != X4)) & ($true = (in @ X6 @ X5))))),
% 4.00/1.00 inference(rectify,[],[f1410])).
% 4.00/1.00 thf(f1410,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : (! [X3] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true != (in @ X3 @ X1)) | ($true = X0)) | ($true != (in @ X2 @ X1))) | (iffalse != $true)) & ((iffalse = $true) | ? [X0 : $o,X1,X2] : (? [X3] : (((if @ X1 @ X0 @ X2 @ X3) != X3) & ($true = (in @ X3 @ X1)) & ($true != X0)) & ($true = (in @ X2 @ X1))))),
% 4.00/1.00 inference(nnf_transformation,[],[f809])).
% 4.00/1.00 thf(f809,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (! [X3] : (((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true != (in @ X3 @ X1)) | ($true = X0)) | ($true != (in @ X2 @ X1))) <=> (iffalse = $true)),
% 4.00/1.00 inference(flattening,[],[f808])).
% 4.00/1.00 thf(f808,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (! [X3] : ((((if @ X1 @ X0 @ X2 @ X3) = X3) | ($true = X0)) | ($true != (in @ X3 @ X1))) | ($true != (in @ X2 @ X1))) <=> (iffalse = $true)),
% 4.00/1.00 inference(ennf_transformation,[],[f728])).
% 4.00/1.00 thf(f728,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (($true = (in @ X2 @ X1)) => ! [X3] : (($true = (in @ X3 @ X1)) => (($true != X0) => ((if @ X1 @ X0 @ X2 @ X3) = X3)))) <=> (iffalse = $true)),
% 4.00/1.00 inference(flattening,[],[f354])).
% 4.00/1.00 thf(f354,plain,(
% 4.00/1.00 ! [X0 : $o,X1,X2] : (($true = (in @ X2 @ X1)) => ! [X3] : (($true = (in @ X3 @ X1)) => (~($true = X0) => ((if @ X1 @ X0 @ X2 @ X3) = X3)))) <=> (iffalse = $true)),
% 4.00/1.00 inference(fool_elimination,[],[f353])).
% 4.00/1.00 thf(f353,plain,(
% 4.00/1.00 (! [X0 : $o,X1,X2] : ((in @ X2 @ X1) => ! [X3] : ((in @ X3 @ X1) => (~X0 => ((if @ X1 @ X0 @ X2 @ X3) = X3)))) = iffalse)),
% 4.00/1.00 inference(rectify,[],[f229])).
% 4.00/1.00 thf(f229,axiom,(
% 4.00/1.00 (! [X0 : $o,X3,X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => (~X0 => ((if @ X3 @ X0 @ X1 @ X2) = X2)))) = iffalse)),
% 4.00/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iffalse)).
% 4.00/1.00 thf(f2716,plain,(
% 4.00/1.00 ($true != (in @ (if @ sK195 @ sK196 @ sK197 @ sK198) @ (setadjoin @ sK197 @ (setadjoin @ sK198 @ emptyset))))),
% 4.00/1.00 inference(cnf_transformation,[],[f1309])).
% 4.00/1.00 % SZS output end Proof for theBenchmark
% 4.00/1.00 % (30257)------------------------------
% 4.00/1.00 % (30257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.00/1.00 % (30257)Termination reason: Refutation
% 4.00/1.00
% 4.00/1.00 % (30257)Memory used [KB]: 10618
% 4.00/1.00 % (30257)Time elapsed: 0.258 s
% 4.00/1.00 % (30257)Instructions burned: 630 (million)
% 4.00/1.00 % (30257)------------------------------
% 4.00/1.00 % (30257)------------------------------
% 4.00/1.00 % (30208)Success in time 0.653 s
% 4.00/1.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------