TSTP Solution File: SEU738^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU738^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:51:09 EDT 2024
% Result : Theorem 1.97s 0.67s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SEU738^1 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 18:00:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 % (21962)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.41 % (21963)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.41 % (21965)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (21964)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (21962)Instruction limit reached!
% 0.22/0.41 % (21962)------------------------------
% 0.22/0.41 % (21962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21962)Termination reason: Unknown
% 0.22/0.41 % (21962)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (21962)Memory used [KB]: 1535
% 0.22/0.41 % (21962)Time elapsed: 0.005 s
% 0.22/0.41 % (21962)Instructions burned: 5 (million)
% 0.22/0.41 % (21962)------------------------------
% 0.22/0.41 % (21962)------------------------------
% 0.22/0.41 % (21964)Instruction limit reached!
% 0.22/0.41 % (21964)------------------------------
% 0.22/0.41 % (21964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21964)Termination reason: Unknown
% 0.22/0.41 % (21964)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (21964)Memory used [KB]: 1407
% 0.22/0.41 % (21965)Instruction limit reached!
% 0.22/0.41 % (21965)------------------------------
% 0.22/0.41 % (21965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21965)Termination reason: Unknown
% 0.22/0.41 % (21965)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (21965)Memory used [KB]: 1407
% 0.22/0.41 % (21965)Time elapsed: 0.004 s
% 0.22/0.41 % (21965)Instructions burned: 3 (million)
% 0.22/0.41 % (21965)------------------------------
% 0.22/0.41 % (21965)------------------------------
% 0.22/0.41 % (21964)Time elapsed: 0.003 s
% 0.22/0.41 % (21964)Instructions burned: 3 (million)
% 0.22/0.41 % (21964)------------------------------
% 0.22/0.41 % (21964)------------------------------
% 0.22/0.41 % (21967)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (21968)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (21966)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.42 % (21968)Instruction limit reached!
% 0.22/0.42 % (21968)------------------------------
% 0.22/0.42 % (21968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21968)Termination reason: Unknown
% 0.22/0.42 % (21968)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (21968)Memory used [KB]: 1407
% 0.22/0.42 % (21968)Time elapsed: 0.004 s
% 0.22/0.42 % (21968)Instructions burned: 3 (million)
% 0.22/0.42 % (21968)------------------------------
% 0.22/0.42 % (21968)------------------------------
% 0.22/0.42 % (21961)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.43 % (21963)Instruction limit reached!
% 0.22/0.43 % (21963)------------------------------
% 0.22/0.43 % (21963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21963)Termination reason: Unknown
% 0.22/0.43 % (21963)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (21963)Memory used [KB]: 2046
% 0.22/0.43 % (21963)Time elapsed: 0.016 s
% 0.22/0.43 % (21963)Instructions burned: 27 (million)
% 0.22/0.43 % (21963)------------------------------
% 0.22/0.43 % (21963)------------------------------
% 0.22/0.43 % (21967)Instruction limit reached!
% 0.22/0.43 % (21967)------------------------------
% 0.22/0.43 % (21967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21967)Termination reason: Unknown
% 0.22/0.43 % (21967)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (21967)Memory used [KB]: 1918
% 0.22/0.43 % (21967)Time elapsed: 0.014 s
% 0.22/0.43 % (21967)Instructions burned: 19 (million)
% 0.22/0.43 % (21967)------------------------------
% 0.22/0.43 % (21967)------------------------------
% 0.22/0.43 % (21969)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.43 % (21972)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.44 % (21970)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.44 % (21973)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (21971)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (21974)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (21971)Instruction limit reached!
% 0.22/0.44 % (21971)------------------------------
% 0.22/0.44 % (21971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21971)Termination reason: Unknown
% 0.22/0.44 % (21971)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (21971)Memory used [KB]: 1407
% 0.22/0.44 % (21971)Time elapsed: 0.003 s
% 0.22/0.44 % (21971)Instructions burned: 3 (million)
% 0.22/0.44 % (21971)------------------------------
% 0.22/0.44 % (21971)------------------------------
% 0.22/0.44 % (21973)Instruction limit reached!
% 0.22/0.44 % (21973)------------------------------
% 0.22/0.44 % (21973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21973)Termination reason: Unknown
% 0.22/0.44 % (21973)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.45 % (21973)Memory used [KB]: 1535
% 0.22/0.45 % (21973)Time elapsed: 0.006 s
% 0.22/0.45 % (21973)Instructions burned: 7 (million)
% 0.22/0.45 % (21973)------------------------------
% 0.22/0.45 % (21973)------------------------------
% 0.22/0.45 % (21970)Instruction limit reached!
% 0.22/0.45 % (21970)------------------------------
% 0.22/0.45 % (21970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21970)Termination reason: Unknown
% 0.22/0.45 % (21970)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (21970)Memory used [KB]: 1663
% 0.22/0.45 % (21970)Time elapsed: 0.013 s
% 0.22/0.45 % (21970)Instructions burned: 16 (million)
% 0.22/0.45 % (21970)------------------------------
% 0.22/0.45 % (21970)------------------------------
% 0.22/0.45 % (21969)Instruction limit reached!
% 0.22/0.45 % (21969)------------------------------
% 0.22/0.45 % (21969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21969)Termination reason: Unknown
% 0.22/0.45 % (21969)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (21969)Memory used [KB]: 2174
% 0.22/0.45 % (21969)Time elapsed: 0.021 s
% 0.22/0.45 % (21969)Instructions burned: 37 (million)
% 0.22/0.45 % (21969)------------------------------
% 0.22/0.45 % (21969)------------------------------
% 0.22/0.45 % (21974)Instruction limit reached!
% 0.22/0.45 % (21974)------------------------------
% 0.22/0.45 % (21974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21974)Termination reason: Unknown
% 0.22/0.45 % (21974)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (21974)Memory used [KB]: 1791
% 0.22/0.45 % (21974)Time elapsed: 0.011 s
% 0.22/0.45 % (21974)Instructions burned: 17 (million)
% 0.22/0.45 % (21974)------------------------------
% 0.22/0.45 % (21974)------------------------------
% 0.22/0.46 % (21975)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (21975)Instruction limit reached!
% 0.22/0.46 % (21975)------------------------------
% 0.22/0.46 % (21975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21975)Termination reason: Unknown
% 0.22/0.46 % (21975)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (21975)Memory used [KB]: 1535
% 0.22/0.46 % (21975)Time elapsed: 0.003 s
% 0.22/0.46 % (21975)Instructions burned: 4 (million)
% 0.22/0.46 % (21975)------------------------------
% 0.22/0.46 % (21975)------------------------------
% 0.22/0.46 % (21976)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (21977)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.46 % (21976)Instruction limit reached!
% 0.22/0.46 % (21976)------------------------------
% 0.22/0.46 % (21976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21976)Termination reason: Unknown
% 0.22/0.46 % (21976)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (21976)Memory used [KB]: 1535
% 0.22/0.46 % (21976)Time elapsed: 0.004 s
% 0.22/0.46 % (21976)Instructions burned: 3 (million)
% 0.22/0.46 % (21976)------------------------------
% 0.22/0.46 % (21976)------------------------------
% 0.22/0.46 % (21978)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (21978)Instruction limit reached!
% 0.22/0.46 % (21978)------------------------------
% 0.22/0.46 % (21978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21978)Termination reason: Unknown
% 0.22/0.46 % (21978)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (21978)Memory used [KB]: 1535
% 0.22/0.46 % (21978)Time elapsed: 0.004 s
% 0.22/0.46 % (21978)Instructions burned: 3 (million)
% 0.22/0.46 % (21977)Instruction limit reached!
% 0.22/0.46 % (21977)------------------------------
% 0.22/0.46 % (21977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21977)Termination reason: Unknown
% 0.22/0.46 % (21977)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (21977)Memory used [KB]: 1535
% 0.22/0.46 % (21977)Time elapsed: 0.006 s
% 0.22/0.46 % (21977)Instructions burned: 7 (million)
% 0.22/0.46 % (21977)------------------------------
% 0.22/0.46 % (21977)------------------------------
% 0.22/0.46 % (21978)------------------------------
% 0.22/0.46 % (21978)------------------------------
% 0.22/0.47 % (21979)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.47 % (21979)Instruction limit reached!
% 0.22/0.47 % (21979)------------------------------
% 0.22/0.47 % (21979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (21979)Termination reason: Unknown
% 0.22/0.47 % (21979)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (21979)Memory used [KB]: 1535
% 0.22/0.47 % (21979)Time elapsed: 0.005 s
% 0.22/0.47 % (21979)Instructions burned: 5 (million)
% 0.22/0.47 % (21979)------------------------------
% 0.22/0.47 % (21979)------------------------------
% 0.22/0.47 % (21980)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.48 % (21981)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.48 % (21982)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (21983)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.48 % (21980)Instruction limit reached!
% 0.22/0.48 % (21980)------------------------------
% 0.22/0.48 % (21980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (21980)Termination reason: Unknown
% 0.22/0.48 % (21980)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (21980)Memory used [KB]: 1918
% 0.22/0.48 % (21980)Time elapsed: 0.010 s
% 0.22/0.48 % (21980)Instructions burned: 18 (million)
% 0.22/0.48 % (21980)------------------------------
% 0.22/0.48 % (21980)------------------------------
% 0.22/0.48 % (21984)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.48 % (21982)Instruction limit reached!
% 0.22/0.48 % (21982)------------------------------
% 0.22/0.48 % (21982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (21982)Termination reason: Unknown
% 0.22/0.48 % (21982)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (21982)Memory used [KB]: 1535
% 0.22/0.48 % (21982)Time elapsed: 0.006 s
% 0.22/0.48 % (21982)Instructions burned: 7 (million)
% 0.22/0.48 % (21982)------------------------------
% 0.22/0.48 % (21982)------------------------------
% 0.22/0.49 % (21985)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.49 % (21984)Instruction limit reached!
% 0.22/0.49 % (21984)------------------------------
% 0.22/0.49 % (21984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (21984)Termination reason: Unknown
% 0.22/0.49 % (21984)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (21984)Memory used [KB]: 1791
% 0.22/0.49 % (21984)Time elapsed: 0.013 s
% 0.22/0.49 % (21984)Instructions burned: 21 (million)
% 0.22/0.49 % (21984)------------------------------
% 0.22/0.49 % (21984)------------------------------
% 0.22/0.49 % (21985)Instruction limit reached!
% 0.22/0.49 % (21985)------------------------------
% 0.22/0.49 % (21985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (21985)Termination reason: Unknown
% 0.22/0.49 % (21985)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (21985)Memory used [KB]: 1535
% 0.22/0.49 % (21985)Time elapsed: 0.003 s
% 0.22/0.49 % (21985)Instructions burned: 8 (million)
% 0.22/0.49 % (21985)------------------------------
% 0.22/0.49 % (21985)------------------------------
% 0.22/0.50 % (21986)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.50 % (21988)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.50 % (21986)Instruction limit reached!
% 0.22/0.50 % (21986)------------------------------
% 0.22/0.50 % (21986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (21986)Termination reason: Unknown
% 0.22/0.50 % (21986)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (21986)Memory used [KB]: 1535
% 0.22/0.50 % (21986)Time elapsed: 0.006 s
% 0.22/0.50 % (21986)Instructions burned: 7 (million)
% 0.22/0.50 % (21986)------------------------------
% 0.22/0.50 % (21986)------------------------------
% 0.22/0.51 % (21987)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.51 % (21961)Instruction limit reached!
% 0.22/0.51 % (21961)------------------------------
% 0.22/0.51 % (21961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (21961)Termination reason: Unknown
% 0.22/0.51 % (21961)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (21961)Memory used [KB]: 7675
% 0.22/0.51 % (21961)Time elapsed: 0.094 s
% 0.22/0.51 % (21961)Instructions burned: 184 (million)
% 0.22/0.51 % (21961)------------------------------
% 0.22/0.51 % (21961)------------------------------
% 0.22/0.52 % (21989)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.53 % (21990)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.53 % (21989)Instruction limit reached!
% 0.22/0.53 % (21989)------------------------------
% 0.22/0.53 % (21989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (21989)Termination reason: Unknown
% 0.22/0.53 % (21989)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (21989)Memory used [KB]: 1791
% 0.22/0.53 % (21989)Time elapsed: 0.011 s
% 0.22/0.53 % (21989)Instructions burned: 19 (million)
% 0.22/0.53 % (21989)------------------------------
% 0.22/0.53 % (21989)------------------------------
% 0.22/0.55 % (21991)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.56 % (21991)Instruction limit reached!
% 0.22/0.56 % (21991)------------------------------
% 0.22/0.56 % (21991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (21991)Termination reason: Unknown
% 0.22/0.56 % (21991)Termination phase: shuffling
% 0.22/0.56
% 0.22/0.56 % (21991)Memory used [KB]: 1791
% 0.22/0.56 % (21991)Time elapsed: 0.011 s
% 0.22/0.56 % (21991)Instructions burned: 19 (million)
% 0.22/0.56 % (21991)------------------------------
% 0.22/0.56 % (21991)------------------------------
% 0.22/0.57 % (21966)Instruction limit reached!
% 0.22/0.57 % (21966)------------------------------
% 0.22/0.57 % (21966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (21966)Termination reason: Unknown
% 0.22/0.57 % (21966)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (21966)Memory used [KB]: 9722
% 0.22/0.57 % (21966)Time elapsed: 0.147 s
% 0.22/0.57 % (21966)Instructions burned: 275 (million)
% 0.22/0.57 % (21966)------------------------------
% 0.22/0.57 % (21966)------------------------------
% 0.22/0.57 % (21992)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.58 % (21992)Instruction limit reached!
% 0.22/0.58 % (21992)------------------------------
% 0.22/0.58 % (21992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (21992)Termination reason: Unknown
% 0.22/0.58 % (21992)Termination phase: shuffling
% 0.22/0.58
% 0.22/0.58 % (21992)Memory used [KB]: 1535
% 0.22/0.58 % (21992)Time elapsed: 0.004 s
% 0.22/0.58 % (21992)Instructions burned: 3 (million)
% 0.22/0.58 % (21992)------------------------------
% 0.22/0.58 % (21992)------------------------------
% 0.22/0.58 % (21993)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.59 % (21994)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 1.56/0.60 % (21993)Instruction limit reached!
% 1.56/0.60 % (21993)------------------------------
% 1.56/0.60 % (21993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.60 % (21993)Termination reason: Unknown
% 1.56/0.60 % (21993)Termination phase: shuffling
% 1.56/0.60
% 1.56/0.60 % (21993)Memory used [KB]: 2046
% 1.56/0.60 % (21993)Time elapsed: 0.016 s
% 1.56/0.60 % (21993)Instructions burned: 31 (million)
% 1.56/0.60 % (21993)------------------------------
% 1.56/0.60 % (21993)------------------------------
% 1.77/0.61 % (21995)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)
% 1.97/0.65 % (21994)Instruction limit reached!
% 1.97/0.65 % (21994)------------------------------
% 1.97/0.65 % (21994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.65 % (21994)Termination reason: Unknown
% 1.97/0.65 % (21994)Termination phase: Property scanning
% 1.97/0.65
% 1.97/0.65 % (21994)Memory used [KB]: 2686
% 1.97/0.65 % (21994)Time elapsed: 0.058 s
% 1.97/0.65 % (21994)Instructions burned: 127 (million)
% 1.97/0.65 % (21994)------------------------------
% 1.97/0.65 % (21994)------------------------------
% 1.97/0.66 % (21995)Instruction limit reached!
% 1.97/0.66 % (21995)------------------------------
% 1.97/0.66 % (21995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.66 % (21995)Termination reason: Unknown
% 1.97/0.66 % (21995)Termination phase: Function definition elimination
% 1.97/0.66
% 1.97/0.66 % (21995)Memory used [KB]: 2558
% 1.97/0.66 % (21995)Time elapsed: 0.044 s
% 1.97/0.66 % (21995)Instructions burned: 101 (million)
% 1.97/0.66 % (21995)------------------------------
% 1.97/0.66 % (21995)------------------------------
% 1.97/0.66 % (21996)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)
% 1.97/0.66 % (21983)First to succeed.
% 1.97/0.66 % (21996)Instruction limit reached!
% 1.97/0.66 % (21996)------------------------------
% 1.97/0.66 % (21996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.66 % (21996)Termination reason: Unknown
% 1.97/0.66 % (21996)Termination phase: shuffling
% 1.97/0.66
% 1.97/0.66 % (21996)Memory used [KB]: 1535
% 1.97/0.66 % (21996)Time elapsed: 0.003 s
% 1.97/0.66 % (21996)Instructions burned: 6 (million)
% 1.97/0.66 % (21996)------------------------------
% 1.97/0.66 % (21996)------------------------------
% 1.97/0.66 % (21997)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)
% 1.97/0.67 % (21983)Refutation found. Thanks to Tanya!
% 1.97/0.67 % SZS status Theorem for theBenchmark
% 1.97/0.67 % SZS output start Proof for theBenchmark
% 1.97/0.67 thf(func_def_0, type, in: $i > $i > $o).
% 1.97/0.67 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.97/0.67 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.97/0.67 thf(func_def_8, type, powerset: $i > $i).
% 1.97/0.67 thf(func_def_10, type, setunion: $i > $i).
% 1.97/0.67 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_26, type, prop2set: $o > $i).
% 1.97/0.67 thf(func_def_36, type, nonempty: $i > $o).
% 1.97/0.67 thf(func_def_69, type, set2prop: $i > $o).
% 1.97/0.67 thf(func_def_88, type, subset: $i > $i > $o).
% 1.97/0.67 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.97/0.67 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.97/0.67 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.97/0.67 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.97/0.67 thf(func_def_135, type, regular: $i > $o).
% 1.97/0.67 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.97/0.67 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.97/0.67 thf(func_def_153, type, iskpair: $i > $o).
% 1.97/0.67 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.97/0.67 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.97/0.67 thf(func_def_177, type, singleton: $i > $o).
% 1.97/0.67 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.97/0.67 thf(func_def_184, type, atmost1p: $i > $o).
% 1.97/0.67 thf(func_def_185, type, atleast2p: $i > $o).
% 1.97/0.67 thf(func_def_186, type, atmost2p: $i > $o).
% 1.97/0.67 thf(func_def_187, type, upairsetp: $i > $o).
% 1.97/0.67 thf(func_def_191, type, kfst: $i > $i).
% 1.97/0.67 thf(func_def_203, type, ksnd: $i > $i).
% 1.97/0.67 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.97/0.67 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.97/0.67 thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.97/0.67 thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.97/0.67 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.97/0.67 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.97/0.67 thf(func_def_306, type, sP0: $i > $i > $i > $i > $o).
% 1.97/0.67 thf(func_def_309, type, sP3: $i > $i > $i > $o).
% 1.97/0.67 thf(func_def_310, type, sP4: $i > $i > $i > $o > $o).
% 1.97/0.67 thf(func_def_312, type, sP6: $i > $i > $o).
% 1.97/0.67 thf(func_def_313, type, sP7: $i > $o).
% 1.97/0.67 thf(func_def_314, type, sP8: $i > $i > $o).
% 1.97/0.67 thf(func_def_315, type, sP9: $i > $i > $o).
% 1.97/0.67 thf(func_def_327, type, sK21: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_328, type, sK22: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_329, type, sK23: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_330, type, sK24: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_334, type, sK28: $i > $o).
% 1.97/0.67 thf(func_def_342, type, sK36: $i > $o).
% 1.97/0.67 thf(func_def_343, type, sK37: $i > $o).
% 1.97/0.67 thf(func_def_344, type, sK38: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.97/0.67 thf(func_def_345, type, sK39: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.97/0.67 thf(func_def_347, type, sK41: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_348, type, sK42: $i > $o).
% 1.97/0.67 thf(func_def_349, type, sK43: $i > $i).
% 1.97/0.67 thf(func_def_358, type, sK52: $i > $o).
% 1.97/0.67 thf(func_def_372, type, sK66: $i > $i > $o).
% 1.97/0.67 thf(func_def_378, type, sK72: $i > $o).
% 1.97/0.67 thf(func_def_387, type, sK81: $i > $o).
% 1.97/0.67 thf(func_def_389, type, sK83: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_390, type, sK84: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_391, type, sK85: $i > $o).
% 1.97/0.67 thf(func_def_392, type, sK86: $i > $i).
% 1.97/0.67 thf(func_def_406, type, sK100: $i > $i > $i).
% 1.97/0.67 thf(func_def_407, type, sK101: $i > $i > $i).
% 1.97/0.67 thf(func_def_408, type, sK102: $i > $o).
% 1.97/0.67 thf(func_def_409, type, sK103: $i > $o).
% 1.97/0.67 thf(func_def_410, type, sK104: ($i > $o) > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_411, type, sK105: ($i > $o) > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_412, type, sK106: $i > $i).
% 1.97/0.67 thf(func_def_416, type, sK110: $i > $i > $i).
% 1.97/0.67 thf(func_def_448, type, sK142: $i > $o).
% 1.97/0.67 thf(func_def_450, type, sK144: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_451, type, sK145: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_465, type, sK159: $i > $o).
% 1.97/0.67 thf(func_def_467, type, sK161: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_478, type, sK172: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_481, type, sK175: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_485, type, sK179: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_493, type, sK187: $i > $i > $o).
% 1.97/0.67 thf(func_def_505, type, sK199: $i > $o).
% 1.97/0.67 thf(func_def_530, type, sK224: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_531, type, sK225: $i > $o).
% 1.97/0.67 thf(func_def_534, type, sK228: $i > $o).
% 1.97/0.67 thf(func_def_537, type, sK231: $i > $i > $o).
% 1.97/0.67 thf(func_def_541, type, sK235: $i > $o).
% 1.97/0.67 thf(func_def_550, type, sK244: $i > $o).
% 1.97/0.67 thf(func_def_567, type, sK261: $i > $o).
% 1.97/0.67 thf(func_def_569, type, sK263: ($i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_582, type, sK276: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_583, type, sK277: $i > $o).
% 1.97/0.67 thf(func_def_586, type, sK280: $i > $i > $o).
% 1.97/0.67 thf(func_def_587, type, sK281: $i > $i).
% 1.97/0.67 thf(func_def_588, type, sK282: $i > $i).
% 1.97/0.67 thf(func_def_589, type, sK283: ($i > $i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_590, type, sK284: ($i > $i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_591, type, sK285: $i > ($i > $i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_598, type, sK292: $i > $i).
% 1.97/0.67 thf(func_def_600, type, sK294: ($i > $i) > $i > $i > $i).
% 1.97/0.67 thf(func_def_608, type, sK302: $i > $i > $i).
% 1.97/0.67 thf(func_def_611, type, sK305: $i > $i > $i).
% 1.97/0.67 thf(func_def_639, type, sK333: ($i > $i) > $i > $i > $i).
% 1.97/0.67 thf(func_def_642, type, sK336: $i > $i).
% 1.97/0.67 thf(func_def_665, type, sK359: $i > $o).
% 1.97/0.67 thf(func_def_674, type, sK368: ($i > $i) > $i > $i > $i).
% 1.97/0.67 thf(func_def_677, type, sK371: $i > $i).
% 1.97/0.67 thf(func_def_682, type, sK376: ($i > $o) > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_683, type, sK377: ($i > $o) > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_687, type, sK381: $i > $o).
% 1.97/0.67 thf(func_def_693, type, sK387: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_701, type, sK395: $i > $i > $o).
% 1.97/0.67 thf(func_def_708, type, sK402: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_709, type, sK403: $i > $o).
% 1.97/0.67 thf(func_def_714, type, sK408: $i > $i).
% 1.97/0.67 thf(func_def_715, type, sK409: ($i > $i) > $i > $i > $i).
% 1.97/0.67 thf(func_def_731, type, sK425: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_739, type, sK433: $i > $o).
% 1.97/0.67 thf(func_def_740, type, sK434: ($i > $o) > $i).
% 1.97/0.67 thf(func_def_749, type, sK443: $i > $i).
% 1.97/0.67 thf(func_def_776, type, sK470: $i > $i > $o).
% 1.97/0.67 thf(func_def_782, type, sK476: $i > $o).
% 1.97/0.67 thf(func_def_783, type, sK477: ($i > $o) > $i > $i > $i).
% 1.97/0.67 thf(func_def_787, type, sK481: $i > $o).
% 1.97/0.67 thf(func_def_789, type, sK483: ($i > $o) > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_790, type, sK484: ($i > $o) > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_799, type, sK493: $i > $o).
% 1.97/0.67 thf(func_def_801, type, sK495: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_802, type, sK496: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_814, type, sK508: $i > $i).
% 1.97/0.67 thf(func_def_817, type, sK511: $i > ($i > $i) > $i > $i).
% 1.97/0.67 thf(func_def_821, type, sK515: $i > $o).
% 1.97/0.67 thf(func_def_822, type, sK516: $i > $o).
% 1.97/0.67 thf(func_def_823, type, sK517: ($i > $o) > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_824, type, sK518: ($i > $o) > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_825, type, sK519: $i > $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_864, type, sK558: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_865, type, sK559: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_880, type, sK574: $o > $i > $i > $i).
% 1.97/0.67 thf(func_def_892, type, sK586: $i > $i).
% 1.97/0.67 thf(func_def_908, type, sK602: $i > $i > $o).
% 1.97/0.67 thf(func_def_910, type, sK604: $i > $o).
% 1.97/0.67 thf(func_def_917, type, sK611: $i > $i > $i).
% 1.97/0.67 thf(func_def_921, type, sK615: $i > $i).
% 1.97/0.67 thf(func_def_923, type, sK617: $i > ($i > $i) > $i > $i).
% 1.97/0.67 thf(func_def_924, type, sK618: $i > $i > $i).
% 1.97/0.67 thf(func_def_934, type, sK628: $i > $i).
% 1.97/0.67 thf(func_def_935, type, sK629: $i > $i).
% 1.97/0.67 thf(func_def_949, type, sK643: $i > $i > $i).
% 1.97/0.67 thf(func_def_950, type, sK644: $i > $i > $i).
% 1.97/0.67 thf(func_def_951, type, sK645: $i > $i > $i).
% 1.97/0.67 thf(func_def_952, type, sK646: $i > $i > $i).
% 1.97/0.67 thf(func_def_953, type, sK647: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_954, type, sK648: $i > $i).
% 1.97/0.67 thf(func_def_955, type, sK649: $i > $i).
% 1.97/0.67 thf(func_def_956, type, sK650: $i > $i).
% 1.97/0.67 thf(func_def_957, type, sK651: $i > $i).
% 1.97/0.67 thf(func_def_958, type, sK652: $i > $i > $i).
% 1.97/0.67 thf(func_def_959, type, sK653: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_960, type, sK654: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_961, type, sK655: $i > $i > $i).
% 1.97/0.67 thf(func_def_962, type, sK656: $i > $i > $i).
% 1.97/0.67 thf(func_def_964, type, sK658: $i > $i).
% 1.97/0.67 thf(func_def_965, type, sK659: $i > $i).
% 1.97/0.67 thf(func_def_966, type, sK660: $i > $i).
% 1.97/0.67 thf(func_def_967, type, sK661: $i > $i > $i).
% 1.97/0.67 thf(func_def_968, type, sK662: ($i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_970, type, sK664: $i > $o).
% 1.97/0.67 thf(func_def_977, type, sK671: $i > $o).
% 1.97/0.67 thf(func_def_979, type, sK673: ($i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_980, type, sK674: ($i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_981, type, sK675: $i > $i > $i).
% 1.97/0.67 thf(func_def_992, type, sK686: $i > $i > $i).
% 1.97/0.67 thf(func_def_995, type, sK689: ($i > $o) > $i > $i).
% 1.97/0.67 thf(func_def_997, type, sK691: $i > $o).
% 1.97/0.67 thf(func_def_1002, type, sK696: $i > $i > $i).
% 1.97/0.67 thf(func_def_1005, type, sK699: $i > $i > $i > $i).
% 1.97/0.67 thf(func_def_1030, type, sK724: $i > $o).
% 1.97/0.67 thf(func_def_1046, type, sK740: $i > $o).
% 1.97/0.67 thf(func_def_1051, type, sK745: $i > $o).
% 1.97/0.67 thf(func_def_1054, type, sK748: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_1069, type, sK763: $i > $o).
% 1.97/0.67 thf(func_def_1080, type, sK774: $i > $i).
% 1.97/0.67 thf(func_def_1092, type, sK786: $i > $o).
% 1.97/0.67 thf(func_def_1095, type, sK789: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_1096, type, sK790: $i > ($i > $o) > $i).
% 1.97/0.67 thf(func_def_1103, type, sK797: $i > $i).
% 1.97/0.67 thf(func_def_1105, type, sK799: $i > $i > $o).
% 1.97/0.67 thf(func_def_1113, type, ph807: !>[X0: $tType]:(X0)).
% 1.97/0.67 thf(f4031,plain,(
% 1.97/0.67 $false),
% 1.97/0.67 inference(trivial_inequality_removal,[],[f4022])).
% 1.97/0.67 thf(f4022,plain,(
% 1.97/0.67 ($true != $true)),
% 1.97/0.67 inference(superposition,[],[f3975,f2915])).
% 1.97/0.67 thf(f2915,plain,(
% 1.97/0.67 ($true = (in @ sK327 @ sK324))),
% 1.97/0.67 inference(cnf_transformation,[],[f1621])).
% 1.97/0.67 thf(f1621,plain,(
% 1.97/0.67 (binunionE = $true) & (powersetE = $true) & (exuEu = $true) & (setminusSubset1 = $true) & (complementTcontraSubset = $true) & (subsetI1 = $true) & (cartprodfstin = $true) & (nonemptyI1 = $true) & (emptysetAx = $true) & (exu__Cong = $true) & (upairsubunion = $true) & (dpsetconstrER = $true) & (notdallE = $true) & (kfstsingleton = $true) & (binintersectSubset5 = $true) & (setminusEL = $true) & (infuncsetfunc = $true) & (doubleComplementEq = $true) & (binunionEcases = $true) & (ubforcartprodlem2 = $true) & (setminusT_lem = $true) & (setukpairinjL1 = $true) & (symdiffIneg2 = $true) & (cartprodmempaircEq = $true) & (symdiffI1 = $true) & (omega0Ax = $true) & (setextT = $true) & (notinsingleton = $true) & (sepInPowerset = $true) & (binintersectEL = $true) & (descrp = $true) & (cartprodpairin = $true) & (powersetI = $true) & (subPowSU = $true) & (singletonprop = $true) & (notsubsetI = $true) & (exuI3 = $true) & (emptyI = $true) & (prop2setI = $true) & (binunionIR = $true) & (binintersectTELcontra = $true) & (singletoninpowerset = $true) & (setadjoin__Cong = $true) & (ifp = $true) & (emptysetsubset = $true) & (quantDeMorgan4 = $true) & (in__Cong = $true) & (emptyinunitempty = $true) & (ubforcartprodlem3 = $true) & (powersetsubset = $true) & (dpsetconstrEL1 = $true) & (setukpairinjR12 = $true) & (emptyset__Cong = $true) & (emptysetimpfalse = $true) & (dpsetconstrSub = $true) & (contrasubsetT3 = $true) & (binintersectTERcontra = $true) & (eqimpsubset1 = $true) & (funcext2 = $true) & (contraSubsetComplement = $true) & (subbreln = $true) & (setunionsingleton2 = $true) & (lamProp = $true) & (cartprodmempair = $true) & (setext = $true) & (ksndpairEq = $true) & (setukpairinjL2 = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (setunion__Cong = $true) & (setoftrueEq = $true) & (powerset__Cong = $true) & (setadjoinAx = $true) & (omegaIndAx = $true) & (cartprodpairsurjEq = $true) & (quantDeMorgan3 = $true) & (notdexE = $true) & (dsetconstr__Cong = $true) & (emptyinPowerset = $true) & (eta1 = $true) & (funcinfuncset = $true) & (dsetconstrI = $true) & (cartprodfstpairEq = $true) & (vacuousDall = $true) & (eqbreln = $true) & (notequalI2 = $true) & (ap2apEq1 = $true) & (beta1 = $true) & (dpsetconstrEL2 = $true) & (funcImageSingleton = $true) & (sepSubset = $true) & (powersetTE1 = $true) & (notequalI1 = $true) & (binintersectI = $true) & (doubleComplementI1 = $true) & (complementInPowersetComplementIntersect = $true) & (complementT_lem = $true) & (ksndsingleton = $true) & (foundationAx = $true) & (kpairp = $true) & (binintersectLsub = $true) & (lam2lamEq = $true) & (funcGraphProp1 = $true) & (ifSingleton = $true) & (eqimpsubset2 = $true) & (lamp = $true) & (setadjoinE = $true) & (funcextLem = $true) & (prop2set2propI = $true) & (upairequniteq = $true) & (iffalseProp1 = $true) & (disjointsetsI1 = $true) & (secondinupair = $true) & (nonemptyE1 = $true) & (eqinunit = $true) & (brelnall2 = $true) & (binintersectT_lem = $true) & (funcGraphProp3 = $true) & (subsetI2 = $true) & (setunionI = $true) & (wellorderingAx = $true) & (iffalse = $true) & (singletonsuniq = $true) & (setukpairIR = $true) & (dsetconstrEL = $true) & (setminusELneg = $true) & (upairset2E = $true) & (singletonsswitch = $true) & (ex1I = $true) & (cartprodpairmemER = $true) & (setunionE = $true) & (setadjoinOr = $true) & (((($true = (in @ sK327 @ sK324)) & ((in @ sK327 @ sK325) = $true) & ((in @ sK327 @ (binunion @ sK324 @ sK326)) != $true)) & ((in @ sK326 @ (powerset @ sK325)) = $true)) & ((in @ sK324 @ (powerset @ sK325)) = $true)) & (setextsub = $true) & (prop2setE = $true) & (binintersectSubset2 = $true) & (binintersectSubset3 = $true) & (ap2p = $true) & (setukpairinjR1 = $true) & (powersetTI1 = $true) & (binunionLsub = $true) & (setadjoinIL = $true) & (quantDeMorgan1 = $true) & (omegaSAx = $true) & (binintersectSubset4 = $true) & (upairinpowunion = $true) & (lam2p = $true) & (complementSubsetComplementIntersect = $true) & (eta2 = $true) & (ex1I2 = $true) & (ap2apEq2 = $true) & (replAx = $true) & (iffalseProp2 = $true) & (binunionRsub = $true) & (upairset2IR = $true) & (dsetconstrER = $true) & (powersetE1 = $true) & (iftrueorfalse = $true) & (subset2powerset = $true) & (upairsetIR = $true) & (cartprodpairmemEL = $true) & (setminusI = $true) & (doubleComplementSub2 = $true) & (contrasubsetT2 = $true) & (nonemptyImpWitness = $true) & (setunionsingleton = $true) & (emptysetE = $true) & (complementTI1 = $true) & (uniqinunit = $true) & (ex1E1 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (theeq = $true) & (setminusERneg = $true) & (setunionAx = $true) & (subsetemptysetimpeq = $true) & (setbeta = $true) & (cartprodmempair1 = $true) & (powersetAx = $true) & (beta2 = $true) & (inCongP = $true) & (setminusSubset2 = $true) & (notinemptyset = $true) & (kpairsurjEq = $true) & (quantDeMorgan2 = $true) & (setminusER = $true) & (symdiffI2 = $true) & (inPowerset = $true) & (setadjoinSub = $true) & (dpsetconstrERa = $true) & (funcGraphProp4 = $true) & (nonemptyI = $true) & (cartprodsndin = $true) & (kpairiskpair = $true) & (iftrueProp2 = $true) & (setOfPairsIsBReln = $true) & (complementTE1 = $true) & (emptyInPowerset = $true) & (binunionIL = $true) & (setukpairIL = $true) & (doubleComplementE1 = $true) & (upairsetIL = $true) & (kfstpairEq = $true) & (app = $true) & (funcGraphProp2 = $true) & (exuI2 = $true) & (ubforcartprodlem1 = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (powersetT_lem = $true) & (setukpairinjR = $true) & (brelnall1 = $true) & (setminusLsub = $true) & (exuI1 = $true) & (iftrue = $true) & (dpsetconstrI = $true) & (singletoninpowunion = $true) & (setextAx = $true) & (complementImpComplementIntersect = $true) & (binintersectSubset1 = $true) & (binunionT_lem = $true) & (theprop = $true) & (omega__Cong = $true) & (complementTnotintersectT = $true) & (apProp = $true) & (cartprodsndpairEq = $true) & (contrasubsetT1 = $true) & (bs114d = $true) & (setadjoinIR = $true) & (subsetRefl = $true) & (setadjoinSub2 = $true) & (setukpairinjR2 = $true) & (exuE1 = $true) & (subsetE2 = $true) & (subsetE = $true) & (upairsetE = $true) & (emptyE1 = $true) & (setminusIRneg = $true) & (exuE2 = $true) & (iftrueProp1 = $true) & (setunionsingleton1 = $true) & (ex1E2 = $true) & (exuE3u = $true) & (symdiffIneg1 = $true) & (setunionE2 = $true) & (symdiffE = $true) & (subsetTI = $true) & (contrasubsetT = $true) & (powersetI1 = $true) & (setminusILneg = $true) & (binintersectER = $true) & (doubleComplementSub1 = $true) & (funcext = $true) & (descr__Cong = $true) & (exuE3e = $true)),
% 1.97/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK324,sK325,sK326,sK327])],[f986,f1620,f1619,f1618])).
% 1.97/0.67 thf(f1618,plain,(
% 1.97/0.67 ? [X0,X1] : (? [X2] : (? [X3] : (($true = (in @ X3 @ X0)) & ((in @ X3 @ X1) = $true) & ($true != (in @ X3 @ (binunion @ X0 @ X2)))) & ((in @ X2 @ (powerset @ X1)) = $true)) & ($true = (in @ X0 @ (powerset @ X1)))) => (? [X2] : (? [X3] : (((in @ X3 @ sK324) = $true) & ((in @ X3 @ sK325) = $true) & ((in @ X3 @ (binunion @ sK324 @ X2)) != $true)) & ((in @ X2 @ (powerset @ sK325)) = $true)) & ((in @ sK324 @ (powerset @ sK325)) = $true))),
% 1.97/0.67 introduced(choice_axiom,[])).
% 1.97/0.67 thf(f1619,plain,(
% 1.97/0.67 ? [X2] : (? [X3] : (((in @ X3 @ sK324) = $true) & ((in @ X3 @ sK325) = $true) & ((in @ X3 @ (binunion @ sK324 @ X2)) != $true)) & ((in @ X2 @ (powerset @ sK325)) = $true)) => (? [X3] : (((in @ X3 @ sK324) = $true) & ((in @ X3 @ sK325) = $true) & ($true != (in @ X3 @ (binunion @ sK324 @ sK326)))) & ((in @ sK326 @ (powerset @ sK325)) = $true))),
% 1.97/0.67 introduced(choice_axiom,[])).
% 1.97/0.67 thf(f1620,plain,(
% 1.97/0.67 ? [X3] : (((in @ X3 @ sK324) = $true) & ((in @ X3 @ sK325) = $true) & ($true != (in @ X3 @ (binunion @ sK324 @ sK326)))) => (($true = (in @ sK327 @ sK324)) & ((in @ sK327 @ sK325) = $true) & ((in @ sK327 @ (binunion @ sK324 @ sK326)) != $true))),
% 1.97/0.67 introduced(choice_axiom,[])).
% 1.97/0.67 thf(f986,plain,(
% 1.97/0.67 (binunionE = $true) & (powersetE = $true) & (exuEu = $true) & (setminusSubset1 = $true) & (complementTcontraSubset = $true) & (subsetI1 = $true) & (cartprodfstin = $true) & (nonemptyI1 = $true) & (emptysetAx = $true) & (exu__Cong = $true) & (upairsubunion = $true) & (dpsetconstrER = $true) & (notdallE = $true) & (kfstsingleton = $true) & (binintersectSubset5 = $true) & (setminusEL = $true) & (infuncsetfunc = $true) & (doubleComplementEq = $true) & (binunionEcases = $true) & (ubforcartprodlem2 = $true) & (setminusT_lem = $true) & (setukpairinjL1 = $true) & (symdiffIneg2 = $true) & (cartprodmempaircEq = $true) & (symdiffI1 = $true) & (omega0Ax = $true) & (setextT = $true) & (notinsingleton = $true) & (sepInPowerset = $true) & (binintersectEL = $true) & (descrp = $true) & (cartprodpairin = $true) & (powersetI = $true) & (subPowSU = $true) & (singletonprop = $true) & (notsubsetI = $true) & (exuI3 = $true) & (emptyI = $true) & (prop2setI = $true) & (binunionIR = $true) & (binintersectTELcontra = $true) & (singletoninpowerset = $true) & (setadjoin__Cong = $true) & (ifp = $true) & (emptysetsubset = $true) & (quantDeMorgan4 = $true) & (in__Cong = $true) & (emptyinunitempty = $true) & (ubforcartprodlem3 = $true) & (powersetsubset = $true) & (dpsetconstrEL1 = $true) & (setukpairinjR12 = $true) & (emptyset__Cong = $true) & (emptysetimpfalse = $true) & (dpsetconstrSub = $true) & (contrasubsetT3 = $true) & (binintersectTERcontra = $true) & (eqimpsubset1 = $true) & (funcext2 = $true) & (contraSubsetComplement = $true) & (subbreln = $true) & (setunionsingleton2 = $true) & (lamProp = $true) & (cartprodmempair = $true) & (setext = $true) & (ksndpairEq = $true) & (setukpairinjL2 = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (setunion__Cong = $true) & (setoftrueEq = $true) & (powerset__Cong = $true) & (setadjoinAx = $true) & (omegaIndAx = $true) & (cartprodpairsurjEq = $true) & (quantDeMorgan3 = $true) & (notdexE = $true) & (dsetconstr__Cong = $true) & (emptyinPowerset = $true) & (eta1 = $true) & (funcinfuncset = $true) & (dsetconstrI = $true) & (cartprodfstpairEq = $true) & (vacuousDall = $true) & (eqbreln = $true) & (notequalI2 = $true) & (ap2apEq1 = $true) & (beta1 = $true) & (dpsetconstrEL2 = $true) & (funcImageSingleton = $true) & (sepSubset = $true) & (powersetTE1 = $true) & (notequalI1 = $true) & (binintersectI = $true) & (doubleComplementI1 = $true) & (complementInPowersetComplementIntersect = $true) & (complementT_lem = $true) & (ksndsingleton = $true) & (foundationAx = $true) & (kpairp = $true) & (binintersectLsub = $true) & (lam2lamEq = $true) & (funcGraphProp1 = $true) & (ifSingleton = $true) & (eqimpsubset2 = $true) & (lamp = $true) & (setadjoinE = $true) & (funcextLem = $true) & (prop2set2propI = $true) & (upairequniteq = $true) & (iffalseProp1 = $true) & (disjointsetsI1 = $true) & (secondinupair = $true) & (nonemptyE1 = $true) & (eqinunit = $true) & (brelnall2 = $true) & (binintersectT_lem = $true) & (funcGraphProp3 = $true) & (subsetI2 = $true) & (setunionI = $true) & (wellorderingAx = $true) & (iffalse = $true) & (singletonsuniq = $true) & (setukpairIR = $true) & (dsetconstrEL = $true) & (setminusELneg = $true) & (upairset2E = $true) & (singletonsswitch = $true) & (ex1I = $true) & (cartprodpairmemER = $true) & (setunionE = $true) & (setadjoinOr = $true) & ? [X0,X1] : (? [X2] : (? [X3] : (($true = (in @ X3 @ X0)) & ((in @ X3 @ X1) = $true) & ($true != (in @ X3 @ (binunion @ X0 @ X2)))) & ((in @ X2 @ (powerset @ X1)) = $true)) & ($true = (in @ X0 @ (powerset @ X1)))) & (setextsub = $true) & (prop2setE = $true) & (binintersectSubset2 = $true) & (binintersectSubset3 = $true) & (ap2p = $true) & (setukpairinjR1 = $true) & (powersetTI1 = $true) & (binunionLsub = $true) & (setadjoinIL = $true) & (quantDeMorgan1 = $true) & (omegaSAx = $true) & (binintersectSubset4 = $true) & (upairinpowunion = $true) & (lam2p = $true) & (complementSubsetComplementIntersect = $true) & (eta2 = $true) & (ex1I2 = $true) & (ap2apEq2 = $true) & (replAx = $true) & (iffalseProp2 = $true) & (binunionRsub = $true) & (upairset2IR = $true) & (dsetconstrER = $true) & (powersetE1 = $true) & (iftrueorfalse = $true) & (subset2powerset = $true) & (upairsetIR = $true) & (cartprodpairmemEL = $true) & (setminusI = $true) & (doubleComplementSub2 = $true) & (contrasubsetT2 = $true) & (nonemptyImpWitness = $true) & (setunionsingleton = $true) & (emptysetE = $true) & (complementTI1 = $true) & (uniqinunit = $true) & (ex1E1 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (theeq = $true) & (setminusERneg = $true) & (setunionAx = $true) & (subsetemptysetimpeq = $true) & (setbeta = $true) & (cartprodmempair1 = $true) & (powersetAx = $true) & (beta2 = $true) & (inCongP = $true) & (setminusSubset2 = $true) & (notinemptyset = $true) & (kpairsurjEq = $true) & (quantDeMorgan2 = $true) & (setminusER = $true) & (symdiffI2 = $true) & (inPowerset = $true) & (setadjoinSub = $true) & (dpsetconstrERa = $true) & (funcGraphProp4 = $true) & (nonemptyI = $true) & (cartprodsndin = $true) & (kpairiskpair = $true) & (iftrueProp2 = $true) & (setOfPairsIsBReln = $true) & (complementTE1 = $true) & (emptyInPowerset = $true) & (binunionIL = $true) & (setukpairIL = $true) & (doubleComplementE1 = $true) & (upairsetIL = $true) & (kfstpairEq = $true) & (app = $true) & (funcGraphProp2 = $true) & (exuI2 = $true) & (ubforcartprodlem1 = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (powersetT_lem = $true) & (setukpairinjR = $true) & (brelnall1 = $true) & (setminusLsub = $true) & (exuI1 = $true) & (iftrue = $true) & (dpsetconstrI = $true) & (singletoninpowunion = $true) & (setextAx = $true) & (complementImpComplementIntersect = $true) & (binintersectSubset1 = $true) & (binunionT_lem = $true) & (theprop = $true) & (omega__Cong = $true) & (complementTnotintersectT = $true) & (apProp = $true) & (cartprodsndpairEq = $true) & (contrasubsetT1 = $true) & (bs114d = $true) & (setadjoinIR = $true) & (subsetRefl = $true) & (setadjoinSub2 = $true) & (setukpairinjR2 = $true) & (exuE1 = $true) & (subsetE2 = $true) & (subsetE = $true) & (upairsetE = $true) & (emptyE1 = $true) & (setminusIRneg = $true) & (exuE2 = $true) & (iftrueProp1 = $true) & (setunionsingleton1 = $true) & (ex1E2 = $true) & (exuE3u = $true) & (symdiffIneg1 = $true) & (setunionE2 = $true) & (symdiffE = $true) & (subsetTI = $true) & (contrasubsetT = $true) & (powersetI1 = $true) & (setminusILneg = $true) & (binintersectER = $true) & (doubleComplementSub1 = $true) & (funcext = $true) & (descr__Cong = $true) & (exuE3e = $true)),
% 1.97/0.67 inference(flattening,[],[f985])).
% 1.97/0.67 thf(f985,plain,(
% 1.97/0.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true = (in @ X3 @ X0)) & ($true != (in @ X3 @ (binunion @ X0 @ X2)))) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true)) & ($true = (in @ X0 @ (powerset @ X1)))) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.97/0.67 inference(ennf_transformation,[],[f789])).
% 1.97/0.67 thf(f789,plain,(
% 1.97/0.67 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (($true != (in @ X3 @ (binunion @ X0 @ X2))) => ($true != (in @ X3 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.97/0.67 inference(flattening,[],[f468])).
% 1.97/0.67 thf(f468,plain,(
% 1.97/0.67 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (~($true = (in @ X3 @ (binunion @ X0 @ X2))) => ~($true = (in @ X3 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.97/0.67 inference(fool_elimination,[],[f467])).
% 1.97/0.67 thf(f467,plain,(
% 1.97/0.67 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => (~(in @ X3 @ (binunion @ X0 @ X2)) => ~(in @ X3 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.97/0.67 inference(rectify,[],[f260])).
% 1.97/0.67 thf(f260,negated_conjecture,(
% 1.97/0.67 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.97/0.67 inference(negated_conjecture,[],[f259])).
% 1.97/0.67 thf(f259,conjecture,(
% 1.97/0.67 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionTILcontra)).
% 1.97/0.67 thf(f3975,plain,(
% 1.97/0.67 ($true != (in @ sK327 @ sK324))),
% 1.97/0.67 inference(trivial_inequality_removal,[],[f3974])).
% 1.97/0.67 thf(f3974,plain,(
% 1.97/0.67 ($true != (in @ sK327 @ sK324)) | ($true != $true)),
% 1.97/0.67 inference(forward_demodulation,[],[f3967,f2845])).
% 1.97/0.67 thf(f2845,plain,(
% 1.97/0.67 (binunionIL = $true)),
% 1.97/0.67 inference(cnf_transformation,[],[f1621])).
% 1.97/0.67 thf(f3967,plain,(
% 1.97/0.67 (binunionIL != $true) | ($true != (in @ sK327 @ sK324))),
% 1.97/0.67 inference(trivial_inequality_removal,[],[f3957])).
% 1.97/0.67 thf(f3957,plain,(
% 1.97/0.67 (binunionIL != $true) | ($true != (in @ sK327 @ sK324)) | ($true != $true)),
% 1.97/0.67 inference(superposition,[],[f2913,f3189])).
% 1.97/0.67 thf(f3189,plain,(
% 1.97/0.67 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ (binunion @ X4 @ X3))) | ((in @ X5 @ X4) != $true) | (binunionIL != $true)) )),
% 1.97/0.67 inference(cnf_transformation,[],[f1803])).
% 1.97/0.67 thf(f1803,plain,(
% 1.97/0.67 ((binunionIL = $true) | (($true = (in @ sK447 @ sK446)) & ((in @ sK447 @ (binunion @ sK446 @ sK445)) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ (binunion @ X4 @ X3)))) | (binunionIL != $true))),
% 1.97/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK445,sK446,sK447])],[f1801,f1802])).
% 1.97/0.67 thf(f1802,plain,(
% 1.97/0.67 ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true)) => (($true = (in @ sK447 @ sK446)) & ((in @ sK447 @ (binunion @ sK446 @ sK445)) != $true))),
% 1.97/0.67 introduced(choice_axiom,[])).
% 1.97/0.67 thf(f1801,plain,(
% 1.97/0.67 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ (binunion @ X4 @ X3)))) | (binunionIL != $true))),
% 1.97/0.67 inference(rectify,[],[f1800])).
% 1.97/0.67 thf(f1800,plain,(
% 1.97/0.67 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (binunion @ X1 @ X0)) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ (binunion @ X1 @ X0)) = $true)) | (binunionIL != $true))),
% 1.97/0.67 inference(nnf_transformation,[],[f1114])).
% 1.97/0.67 thf(f1114,plain,(
% 1.97/0.67 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ (binunion @ X1 @ X0)) = $true))),
% 1.97/0.67 inference(ennf_transformation,[],[f355])).
% 1.97/0.67 thf(f355,plain,(
% 1.97/0.67 ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => ((in @ X2 @ (binunion @ X1 @ X0)) = $true)) <=> (binunionIL = $true)),
% 1.97/0.67 inference(fool_elimination,[],[f354])).
% 1.97/0.67 thf(f354,plain,(
% 1.97/0.67 (! [X0,X1,X2] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X1 @ X0))) = binunionIL)),
% 1.97/0.67 inference(rectify,[],[f101])).
% 1.97/0.67 thf(f101,axiom,(
% 1.97/0.67 (! [X4,X3,X1] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))) = binunionIL)),
% 1.97/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionIL)).
% 1.97/0.67 thf(f2913,plain,(
% 1.97/0.67 ((in @ sK327 @ (binunion @ sK324 @ sK326)) != $true)),
% 1.97/0.67 inference(cnf_transformation,[],[f1621])).
% 1.97/0.67 % SZS output end Proof for theBenchmark
% 1.97/0.67 % (21983)------------------------------
% 1.97/0.67 % (21983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.67 % (21983)Termination reason: Refutation
% 1.97/0.67
% 1.97/0.67 % (21983)Memory used [KB]: 9978
% 1.97/0.67 % (21983)Time elapsed: 0.187 s
% 1.97/0.67 % (21983)Instructions burned: 314 (million)
% 1.97/0.67 % (21983)------------------------------
% 1.97/0.67 % (21983)------------------------------
% 1.97/0.67 % (21960)Success in time 0.291 s
% 1.97/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------