TSTP Solution File: SEU818^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU818^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.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 : Mon Jun 24 15:43:32 EDT 2024
% Result : Theorem 3.15s 0.89s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU818^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.13/0.30 % Computer : n001.cluster.edu
% 0.13/0.30 % Model : x86_64 x86_64
% 0.13/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.30 % Memory : 8042.1875MB
% 0.13/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.30 % CPULimit : 300
% 0.13/0.30 % WCLimit : 300
% 0.13/0.30 % DateTime : Fri Jun 21 16:41:39 EDT 2024
% 0.13/0.31 % CPUTime :
% 0.17/0.32 This is a TH0_THM_EQU_NAR problem
% 0.17/0.33 Running higher-order theorem proving
% 0.17/0.33 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.17/0.37 % (28934)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)
% 0.17/0.37 % (28933)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)
% 0.17/0.37 % (28935)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.37 % (28935)Instruction limit reached!
% 0.17/0.37 % (28935)------------------------------
% 0.17/0.37 % (28935)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (28935)Termination reason: Unknown
% 0.17/0.37 % (28935)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (28935)Memory used [KB]: 1663
% 0.17/0.37 % (28935)Time elapsed: 0.002 s
% 0.17/0.37 % (28935)Instructions burned: 2 (million)
% 0.17/0.37 % (28935)------------------------------
% 0.17/0.37 % (28935)------------------------------
% 0.17/0.37 % (28933)Instruction limit reached!
% 0.17/0.37 % (28933)------------------------------
% 0.17/0.37 % (28933)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (28933)Termination reason: Unknown
% 0.17/0.37 % (28933)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (28933)Memory used [KB]: 1791
% 0.17/0.37 % (28933)Time elapsed: 0.003 s
% 0.17/0.37 % (28933)Instructions burned: 5 (million)
% 0.17/0.37 % (28933)------------------------------
% 0.17/0.37 % (28933)------------------------------
% 0.17/0.38 % (28932)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.38 % (28936)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)
% 0.17/0.38 % (28937)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)
% 0.17/0.38 % (28938)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.38 % (28934)Instruction limit reached!
% 0.17/0.38 % (28934)------------------------------
% 0.17/0.38 % (28934)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (28934)Termination reason: Unknown
% 0.17/0.38 % (28934)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (28934)Memory used [KB]: 2302
% 0.17/0.38 % (28934)Time elapsed: 0.010 s
% 0.17/0.38 % (28934)Instructions burned: 29 (million)
% 0.17/0.38 % (28934)------------------------------
% 0.17/0.38 % (28934)------------------------------
% 0.17/0.38 % (28936)Instruction limit reached!
% 0.17/0.38 % (28936)------------------------------
% 0.17/0.38 % (28936)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (28936)Termination reason: Unknown
% 0.17/0.38 % (28936)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (28936)Memory used [KB]: 1663
% 0.17/0.38 % (28936)Time elapsed: 0.004 s
% 0.17/0.38 % (28936)Instructions burned: 3 (million)
% 0.17/0.38 % (28936)------------------------------
% 0.17/0.38 % (28936)------------------------------
% 0.17/0.38 % (28942)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)
% 0.17/0.38 % (28944)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)
% 0.17/0.38 % (28942)Instruction limit reached!
% 0.17/0.38 % (28942)------------------------------
% 0.17/0.38 % (28942)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (28942)Termination reason: Unknown
% 0.17/0.38 % (28942)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (28942)Memory used [KB]: 1663
% 0.17/0.38 % (28942)Time elapsed: 0.003 s
% 0.17/0.38 % (28942)Instructions burned: 4 (million)
% 0.17/0.38 % (28942)------------------------------
% 0.17/0.38 % (28942)------------------------------
% 0.17/0.39 % (28948)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)
% 0.18/0.39 % (28938)Instruction limit reached!
% 0.18/0.39 % (28938)------------------------------
% 0.18/0.39 % (28938)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (28938)Termination reason: Unknown
% 0.18/0.39 % (28938)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (28938)Memory used [KB]: 2046
% 0.18/0.39 % (28938)Time elapsed: 0.014 s
% 0.18/0.39 % (28938)Instructions burned: 18 (million)
% 0.18/0.39 % (28938)------------------------------
% 0.18/0.39 % (28938)------------------------------
% 0.18/0.39 % (28951)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)
% 0.18/0.39 % (28944)Instruction limit reached!
% 0.18/0.39 % (28944)------------------------------
% 0.18/0.39 % (28944)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (28944)Termination reason: Unknown
% 0.18/0.39 % (28944)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (28944)Memory used [KB]: 2558
% 0.18/0.39 % (28944)Time elapsed: 0.013 s
% 0.18/0.39 % (28944)Instructions burned: 39 (million)
% 0.18/0.39 % (28944)------------------------------
% 0.18/0.39 % (28944)------------------------------
% 0.18/0.40 % (28948)Instruction limit reached!
% 0.18/0.40 % (28948)------------------------------
% 0.18/0.40 % (28948)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (28948)Termination reason: Unknown
% 0.18/0.40 % (28948)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (28948)Memory used [KB]: 2046
% 0.18/0.40 % (28948)Time elapsed: 0.008 s
% 0.18/0.40 % (28948)Instructions burned: 17 (million)
% 0.18/0.40 % (28948)------------------------------
% 0.18/0.40 % (28948)------------------------------
% 0.18/0.40 % (28949)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)
% 0.18/0.40 % (28949)Instruction limit reached!
% 0.18/0.40 % (28949)------------------------------
% 0.18/0.40 % (28949)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (28949)Termination reason: Unknown
% 0.18/0.40 % (28949)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (28949)Memory used [KB]: 1663
% 0.18/0.40 % (28949)Time elapsed: 0.004 s
% 0.18/0.40 % (28949)Instructions burned: 4 (million)
% 0.18/0.40 % (28949)------------------------------
% 0.18/0.40 % (28949)------------------------------
% 0.18/0.40 % (28957)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.40 % (28959)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)
% 0.18/0.41 % (28959)Instruction limit reached!
% 0.18/0.41 % (28959)------------------------------
% 0.18/0.41 % (28959)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (28959)Termination reason: Unknown
% 0.18/0.41 % (28959)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (28959)Memory used [KB]: 1791
% 0.18/0.41 % (28959)Time elapsed: 0.003 s
% 0.18/0.41 % (28959)Instructions burned: 4 (million)
% 0.18/0.41 % (28959)------------------------------
% 0.18/0.41 % (28959)------------------------------
% 0.18/0.41 % (28955)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.41 % (28957)Instruction limit reached!
% 0.18/0.41 % (28957)------------------------------
% 0.18/0.41 % (28957)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (28957)Termination reason: Unknown
% 0.18/0.41 % (28957)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (28957)Memory used [KB]: 2046
% 0.18/0.41 % (28957)Time elapsed: 0.007 s
% 0.18/0.41 % (28957)Instructions burned: 19 (million)
% 0.18/0.41 % (28957)------------------------------
% 0.18/0.41 % (28957)------------------------------
% 0.18/0.41 % (28955)Instruction limit reached!
% 0.18/0.41 % (28955)------------------------------
% 0.18/0.41 % (28955)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (28955)Termination reason: Unknown
% 0.18/0.41 % (28955)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (28955)Memory used [KB]: 1791
% 0.18/0.41 % (28955)Time elapsed: 0.006 s
% 0.18/0.41 % (28955)Instructions burned: 8 (million)
% 0.18/0.41 % (28955)------------------------------
% 0.18/0.41 % (28955)------------------------------
% 0.18/0.41 % (28966)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)
% 0.18/0.41 % (28962)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)
% 0.18/0.42 % (28968)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)
% 0.18/0.42 % (28966)Instruction limit reached!
% 0.18/0.42 % (28966)------------------------------
% 0.18/0.42 % (28966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (28966)Termination reason: Unknown
% 0.18/0.42 % (28966)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (28966)Memory used [KB]: 1791
% 0.18/0.42 % (28966)Time elapsed: 0.004 s
% 0.18/0.42 % (28966)Instructions burned: 8 (million)
% 0.18/0.42 % (28966)------------------------------
% 0.18/0.42 % (28966)------------------------------
% 0.18/0.42 % (28962)Instruction limit reached!
% 0.18/0.42 % (28962)------------------------------
% 0.18/0.42 % (28962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (28962)Termination reason: Unknown
% 0.18/0.42 % (28962)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (28962)Memory used [KB]: 1663
% 0.18/0.42 % (28962)Time elapsed: 0.005 s
% 0.18/0.42 % (28962)Instructions burned: 4 (million)
% 0.18/0.42 % (28962)------------------------------
% 0.18/0.42 % (28962)------------------------------
% 0.18/0.42 % (28968)Instruction limit reached!
% 0.18/0.42 % (28968)------------------------------
% 0.18/0.42 % (28968)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (28968)Termination reason: Unknown
% 0.18/0.42 % (28968)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (28968)Memory used [KB]: 1791
% 0.18/0.42 % (28968)Time elapsed: 0.003 s
% 0.18/0.42 % (28968)Instructions burned: 5 (million)
% 0.18/0.42 % (28968)------------------------------
% 0.18/0.42 % (28968)------------------------------
% 0.18/0.43 % (28973)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)
% 0.18/0.43 % (28976)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.43 % (28970)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.43 % (28976)Instruction limit reached!
% 0.18/0.43 % (28976)------------------------------
% 0.18/0.43 % (28976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (28970)Instruction limit reached!
% 0.18/0.43 % (28970)------------------------------
% 0.18/0.43 % (28970)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (28970)Termination reason: Unknown
% 0.18/0.43 % (28970)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (28970)Memory used [KB]: 1663
% 0.18/0.43 % (28970)Time elapsed: 0.005 s
% 0.18/0.43 % (28970)Instructions burned: 4 (million)
% 0.18/0.43 % (28970)------------------------------
% 0.18/0.43 % (28970)------------------------------
% 0.18/0.43 % (28976)Termination reason: Unknown
% 0.18/0.43 % (28976)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (28976)Memory used [KB]: 1918
% 0.18/0.43 % (28976)Time elapsed: 0.004 s
% 0.18/0.43 % (28976)Instructions burned: 9 (million)
% 0.18/0.43 % (28976)------------------------------
% 0.18/0.43 % (28976)------------------------------
% 0.18/0.43 % (28973)Instruction limit reached!
% 0.18/0.43 % (28973)------------------------------
% 0.18/0.43 % (28973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (28973)Termination reason: Unknown
% 0.18/0.43 % (28973)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (28973)Memory used [KB]: 2046
% 0.18/0.43 % (28973)Time elapsed: 0.007 s
% 0.18/0.43 % (28973)Instructions burned: 20 (million)
% 0.18/0.43 % (28973)------------------------------
% 0.18/0.43 % (28973)------------------------------
% 0.18/0.43 % (28974)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.44 % (28981)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)
% 0.18/0.44 % (28984)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.44 % (28984)Instruction limit reached!
% 0.18/0.44 % (28984)------------------------------
% 0.18/0.44 % (28984)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.44 % (28984)Termination reason: Unknown
% 0.18/0.44 % (28984)Termination phase: shuffling
% 0.18/0.44
% 0.18/0.44 % (28984)Memory used [KB]: 1791
% 0.18/0.44 % (28984)Time elapsed: 0.003 s
% 0.18/0.44 % (28984)Instructions burned: 5 (million)
% 0.18/0.44 % (28984)------------------------------
% 0.18/0.44 % (28984)------------------------------
% 0.18/0.45 % (28982)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)
% 0.18/0.45 % (28992)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)
% 0.18/0.45 % (28992)Instruction limit reached!
% 0.18/0.45 % (28992)------------------------------
% 0.18/0.45 % (28992)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.45 % (28992)Termination reason: Unknown
% 0.18/0.45 % (28992)Termination phase: shuffling
% 0.18/0.45
% 0.18/0.45 % (28992)Memory used [KB]: 1791
% 0.18/0.45 % (28992)Time elapsed: 0.003 s
% 0.18/0.45 % (28992)Instructions burned: 6 (million)
% 0.18/0.45 % (28992)------------------------------
% 0.18/0.45 % (28992)------------------------------
% 0.18/0.46 % (28982)Instruction limit reached!
% 0.18/0.46 % (28982)------------------------------
% 0.18/0.46 % (28982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.46 % (28982)Termination reason: Unknown
% 0.18/0.46 % (28982)Termination phase: shuffling
% 0.18/0.46
% 0.18/0.46 % (28982)Memory used [KB]: 2046
% 0.18/0.46 % (28982)Time elapsed: 0.013 s
% 0.18/0.46 % (28982)Instructions burned: 22 (million)
% 0.18/0.46 % (28982)------------------------------
% 0.18/0.46 % (28982)------------------------------
% 0.18/0.47 % (28997)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.18/0.47 % (28932)Instruction limit reached!
% 0.18/0.47 % (28932)------------------------------
% 0.18/0.47 % (28932)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.47 % (28932)Termination reason: Unknown
% 0.18/0.47 % (28932)Termination phase: Property scanning
% 0.18/0.47
% 0.18/0.47 % (28932)Memory used [KB]: 3198
% 0.18/0.47 % (28932)Time elapsed: 0.091 s
% 0.18/0.47 % (28932)Instructions burned: 184 (million)
% 0.18/0.47 % (28932)------------------------------
% 0.18/0.47 % (28932)------------------------------
% 0.18/0.47 % (28999)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)
% 0.18/0.48 % (29003)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)
% 0.18/0.49 % (29003)Instruction limit reached!
% 0.18/0.49 % (29003)------------------------------
% 0.18/0.49 % (29003)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.49 % (29003)Termination reason: Unknown
% 0.18/0.49 % (29003)Termination phase: shuffling
% 0.18/0.49
% 0.18/0.49 % (29003)Memory used [KB]: 2046
% 0.18/0.49 % (29003)Time elapsed: 0.012 s
% 0.18/0.49 % (29003)Instructions burned: 19 (million)
% 0.18/0.49 % (29003)------------------------------
% 0.18/0.49 % (29003)------------------------------
% 0.18/0.50 % (29015)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)
% 0.18/0.51 % (28937)Instruction limit reached!
% 0.18/0.51 % (28937)------------------------------
% 0.18/0.51 % (28937)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.51 % (28937)Termination reason: Unknown
% 0.18/0.51 % (28937)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (28937)Memory used [KB]: 10874
% 0.18/0.51 % (28937)Time elapsed: 0.138 s
% 0.18/0.51 % (28937)Instructions burned: 277 (million)
% 0.18/0.51 % (28937)------------------------------
% 0.18/0.51 % (28937)------------------------------
% 1.25/0.52 % (29022)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.25/0.53 % (29022)Instruction limit reached!
% 1.25/0.53 % (29022)------------------------------
% 1.25/0.53 % (29022)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.25/0.53 % (29022)Termination reason: Unknown
% 1.25/0.53 % (29022)Termination phase: shuffling
% 1.25/0.53
% 1.25/0.53 % (29022)Memory used [KB]: 2046
% 1.25/0.53 % (29022)Time elapsed: 0.007 s
% 1.25/0.53 % (29022)Instructions burned: 18 (million)
% 1.25/0.53 % (29022)------------------------------
% 1.25/0.53 % (29022)------------------------------
% 1.38/0.54 % (29035)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.38/0.54 % (29035)Instruction limit reached!
% 1.38/0.54 % (29035)------------------------------
% 1.38/0.54 % (29035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.54 % (29035)Termination reason: Unknown
% 1.38/0.54 % (29035)Termination phase: shuffling
% 1.38/0.54
% 1.38/0.54 % (29035)Memory used [KB]: 1663
% 1.38/0.54 % (29035)Time elapsed: 0.003 s
% 1.38/0.54 % (29035)Instructions burned: 3 (million)
% 1.38/0.54 % (29035)------------------------------
% 1.38/0.54 % (29035)------------------------------
% 1.38/0.55 % (29041)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 1.38/0.56 % (29041)Instruction limit reached!
% 1.38/0.56 % (29041)------------------------------
% 1.38/0.56 % (29041)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.56 % (29041)Termination reason: Unknown
% 1.38/0.56 % (29041)Termination phase: shuffling
% 1.38/0.56
% 1.38/0.56 % (29041)Memory used [KB]: 2430
% 1.38/0.56 % (29041)Time elapsed: 0.011 s
% 1.38/0.56 % (29041)Instructions burned: 30 (million)
% 1.38/0.56 % (29041)------------------------------
% 1.38/0.56 % (29041)------------------------------
% 1.38/0.57 % (29057)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)
% 1.38/0.59 % (28997)Instruction limit reached!
% 1.38/0.59 % (28997)------------------------------
% 1.38/0.59 % (28997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.59 % (28997)Termination reason: Unknown
% 1.38/0.59 % (28997)Termination phase: Saturation
% 1.38/0.59
% 1.38/0.59 % (28997)Memory used [KB]: 8955
% 1.38/0.59 % (28997)Time elapsed: 0.125 s
% 1.38/0.59 % (28997)Instructions burned: 378 (million)
% 1.38/0.59 % (28997)------------------------------
% 1.38/0.59 % (28997)------------------------------
% 1.38/0.60 % (29080)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)
% 1.38/0.60 % (29057)Instruction limit reached!
% 1.38/0.60 % (29057)------------------------------
% 1.38/0.60 % (29057)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.60 % (29057)Termination reason: Unknown
% 1.38/0.60 % (29057)Termination phase: Property scanning
% 1.38/0.60
% 1.38/0.60 % (29057)Memory used [KB]: 3070
% 1.38/0.60 % (29057)Time elapsed: 0.038 s
% 1.38/0.60 % (29057)Instructions burned: 129 (million)
% 1.38/0.60 % (29057)------------------------------
% 1.38/0.60 % (29057)------------------------------
% 1.38/0.61 % (29086)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)
% 1.38/0.62 % (29086)Instruction limit reached!
% 1.38/0.62 % (29086)------------------------------
% 1.38/0.62 % (29086)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.62 % (29086)Termination reason: Unknown
% 1.38/0.62 % (29086)Termination phase: shuffling
% 1.38/0.62
% 1.38/0.62 % (29086)Memory used [KB]: 1663
% 1.38/0.62 % (29086)Time elapsed: 0.003 s
% 1.38/0.62 % (29086)Instructions burned: 3 (million)
% 1.38/0.62 % (29086)------------------------------
% 1.38/0.62 % (29086)------------------------------
% 1.38/0.62 % (29092)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)
% 1.38/0.63 % (29080)Instruction limit reached!
% 1.38/0.63 % (29080)------------------------------
% 1.38/0.63 % (29080)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.38/0.63 % (29080)Termination reason: Unknown
% 1.38/0.63 % (29080)Termination phase: Property scanning
% 1.38/0.63
% 1.38/0.63 % (29080)Memory used [KB]: 3070
% 1.38/0.63 % (29080)Time elapsed: 0.030 s
% 1.38/0.63 % (29080)Instructions burned: 100 (million)
% 1.38/0.63 % (29080)------------------------------
% 1.38/0.63 % (29080)------------------------------
% 2.04/0.63 % (29092)Instruction limit reached!
% 2.04/0.63 % (29092)------------------------------
% 2.04/0.63 % (29092)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.04/0.63 % (29092)Termination reason: Unknown
% 2.04/0.63 % (29092)Termination phase: shuffling
% 2.04/0.63
% 2.04/0.63 % (29092)Memory used [KB]: 2174
% 2.04/0.63 % (29092)Time elapsed: 0.010 s
% 2.04/0.63 % (29092)Instructions burned: 22 (million)
% 2.04/0.63 % (29092)------------------------------
% 2.04/0.63 % (29092)------------------------------
% 2.04/0.64 % (29101)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)
% 2.04/0.64 % (29106)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2996ds/107Mi)
% 2.04/0.66 % (29101)Instruction limit reached!
% 2.04/0.66 % (29101)------------------------------
% 2.04/0.66 % (29101)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.04/0.66 % (29101)Termination reason: Unknown
% 2.04/0.66 % (29101)Termination phase: Property scanning
% 2.04/0.66
% 2.04/0.66 % (29101)Memory used [KB]: 2814
% 2.04/0.66 % (29101)Time elapsed: 0.027 s
% 2.04/0.66 % (29101)Instructions burned: 87 (million)
% 2.04/0.66 % (29101)------------------------------
% 2.04/0.66 % (29101)------------------------------
% 2.04/0.67 % (29115)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.04/0.67 % (29106)Instruction limit reached!
% 2.04/0.67 % (29106)------------------------------
% 2.04/0.67 % (29106)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.04/0.67 % (29106)Termination reason: Unknown
% 2.04/0.67 % (29106)Termination phase: SInE selection
% 2.04/0.67
% 2.04/0.67 % (29106)Memory used [KB]: 2942
% 2.04/0.67 % (29106)Time elapsed: 0.032 s
% 2.04/0.67 % (29106)Instructions burned: 107 (million)
% 2.04/0.67 % (29106)------------------------------
% 2.04/0.67 % (29106)------------------------------
% 2.04/0.68 % (29120)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 2.04/0.68 % (29115)Instruction limit reached!
% 2.04/0.68 % (29115)------------------------------
% 2.04/0.68 % (29115)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.04/0.68 % (29115)Termination reason: Unknown
% 2.04/0.68 % (29115)Termination phase: shuffling
% 2.04/0.68
% 2.04/0.68 % (29115)Memory used [KB]: 2558
% 2.04/0.68 % (29115)Time elapsed: 0.013 s
% 2.04/0.68 % (29115)Instructions burned: 40 (million)
% 2.04/0.68 % (29115)------------------------------
% 2.04/0.68 % (29115)------------------------------
% 2.04/0.68 % (28999)Instruction limit reached!
% 2.04/0.68 % (28999)------------------------------
% 2.04/0.68 % (28999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.04/0.68 % (28999)Termination reason: Unknown
% 2.04/0.68 % (28999)Termination phase: Saturation
% 2.04/0.68
% 2.04/0.68 % (28999)Memory used [KB]: 8187
% 2.04/0.68 % (28999)Time elapsed: 0.215 s
% 2.04/0.68 % (28999)Instructions burned: 779 (million)
% 2.04/0.68 % (28999)------------------------------
% 2.04/0.68 % (28999)------------------------------
% 2.45/0.69 % (29125)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.45/0.69 % (29126)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.45/0.70 % (28951)Instruction limit reached!
% 2.45/0.70 % (28951)------------------------------
% 2.45/0.70 % (28951)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.70 % (28951)Termination reason: Unknown
% 2.45/0.70 % (28951)Termination phase: Saturation
% 2.45/0.70
% 2.45/0.70 % (28951)Memory used [KB]: 19573
% 2.45/0.70 % (28951)Time elapsed: 0.306 s
% 2.45/0.70 % (28951)Instructions burned: 1041 (million)
% 2.45/0.70 % (28951)------------------------------
% 2.45/0.70 % (28951)------------------------------
% 2.45/0.71 % (29129)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)
% 2.45/0.71 % (29125)Instruction limit reached!
% 2.45/0.71 % (29125)------------------------------
% 2.45/0.71 % (29125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.71 % (29125)Termination reason: Unknown
% 2.45/0.71 % (29125)Termination phase: shuffling
% 2.45/0.71
% 2.45/0.71 % (29125)Memory used [KB]: 2686
% 2.45/0.71 % (29125)Time elapsed: 0.017 s
% 2.45/0.71 % (29125)Instructions burned: 48 (million)
% 2.45/0.71 % (29125)------------------------------
% 2.45/0.71 % (29125)------------------------------
% 2.45/0.71 % (28974)Instruction limit reached!
% 2.45/0.71 % (28974)------------------------------
% 2.45/0.71 % (28974)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.71 % (28974)Termination reason: Unknown
% 2.45/0.71 % (28974)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (28974)Memory used [KB]: 12920
% 2.45/0.71 % (28974)Time elapsed: 0.279 s
% 2.45/0.71 % (28974)Instructions burned: 711 (million)
% 2.45/0.71 % (28974)------------------------------
% 2.45/0.71 % (28974)------------------------------
% 2.45/0.72 % (29130)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)
% 2.45/0.72 % (29131)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.45/0.72 % (29126)Instruction limit reached!
% 2.45/0.72 % (29126)------------------------------
% 2.45/0.72 % (29126)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.72 % (29126)Termination reason: Unknown
% 2.45/0.72 % (29126)Termination phase: Property scanning
% 2.45/0.72
% 2.45/0.72 % (29126)Memory used [KB]: 2942
% 2.45/0.72 % (29126)Time elapsed: 0.029 s
% 2.45/0.72 % (29126)Instructions burned: 100 (million)
% 2.45/0.72 % (29126)------------------------------
% 2.45/0.72 % (29126)------------------------------
% 2.45/0.73 % (29132)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)
% 2.45/0.73 % (29131)Instruction limit reached!
% 2.45/0.73 % (29131)------------------------------
% 2.45/0.73 % (29131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.73 % (29131)Termination reason: Unknown
% 2.45/0.73 % (29131)Termination phase: shuffling
% 2.45/0.73
% 2.45/0.73 % (29131)Memory used [KB]: 2558
% 2.45/0.73 % (29131)Time elapsed: 0.014 s
% 2.45/0.73 % (29131)Instructions burned: 40 (million)
% 2.45/0.73 % (29131)------------------------------
% 2.45/0.73 % (29131)------------------------------
% 2.45/0.73 % (29132)Instruction limit reached!
% 2.45/0.73 % (29132)------------------------------
% 2.45/0.73 % (29132)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/0.73 % (29132)Termination reason: Unknown
% 2.45/0.73 % (29132)Termination phase: shuffling
% 2.45/0.73
% 2.45/0.73 % (29132)Memory used [KB]: 1791
% 2.45/0.73 % (29132)Time elapsed: 0.004 s
% 2.45/0.73 % (29132)Instructions burned: 7 (million)
% 2.45/0.73 % (29132)------------------------------
% 2.45/0.73 % (29132)------------------------------
% 2.45/0.74 % (29137)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)
% 2.45/0.74 % (29138)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.71/0.76 % (29138)Instruction limit reached!
% 2.71/0.76 % (29138)------------------------------
% 2.71/0.76 % (29138)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.71/0.76 % (29138)Termination reason: Unknown
% 2.71/0.76 % (29138)Termination phase: shuffling
% 2.71/0.76
% 2.71/0.76 % (29138)Memory used [KB]: 2686
% 2.71/0.76 % (29138)Time elapsed: 0.016 s
% 2.71/0.76 % (29138)Instructions burned: 47 (million)
% 2.71/0.76 % (29138)------------------------------
% 2.71/0.76 % (29138)------------------------------
% 2.71/0.76 % (29130)Instruction limit reached!
% 2.71/0.76 % (29130)------------------------------
% 2.71/0.76 % (29130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.71/0.76 % (29130)Termination reason: Unknown
% 2.71/0.76 % (29130)Termination phase: Twee Goal Transformation
% 2.71/0.76
% 2.71/0.76 % (29130)Memory used [KB]: 3198
% 2.71/0.76 % (29130)Time elapsed: 0.044 s
% 2.71/0.76 % (29130)Instructions burned: 150 (million)
% 2.71/0.76 % (29130)------------------------------
% 2.71/0.76 % (29130)------------------------------
% 2.75/0.77 % (29148)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 (2995ds/44Mi)
% 2.75/0.77 % (28981)Instruction limit reached!
% 2.75/0.77 % (28981)------------------------------
% 2.75/0.77 % (28981)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.77 % (28981)Termination reason: Unknown
% 2.75/0.77 % (28981)Termination phase: Saturation
% 2.75/0.77
% 2.75/0.77 % (28981)Memory used [KB]: 13944
% 2.75/0.77 % (28981)Time elapsed: 0.330 s
% 2.75/0.77 % (28981)Instructions burned: 902 (million)
% 2.75/0.77 % (28981)------------------------------
% 2.75/0.77 % (28981)------------------------------
% 2.75/0.77 % (29149)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)
% 2.75/0.78 % (29153)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)
% 2.75/0.78 % (29148)Instruction limit reached!
% 2.75/0.78 % (29148)------------------------------
% 2.75/0.78 % (29148)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.78 % (29148)Termination reason: Unknown
% 2.75/0.78 % (29148)Termination phase: shuffling
% 2.75/0.78
% 2.75/0.78 % (29148)Memory used [KB]: 2558
% 2.75/0.78 % (29148)Time elapsed: 0.015 s
% 2.75/0.78 % (29148)Instructions burned: 45 (million)
% 2.75/0.78 % (29148)------------------------------
% 2.75/0.78 % (29148)------------------------------
% 2.75/0.79 % (29155)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)
% 2.75/0.79 % (29015)Instruction limit reached!
% 2.75/0.79 % (29015)------------------------------
% 2.75/0.79 % (29015)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.79 % (29015)Termination reason: Unknown
% 2.75/0.79 % (29015)Termination phase: Saturation
% 2.75/0.79
% 2.75/0.79 % (29015)Memory used [KB]: 10874
% 2.75/0.79 % (29015)Time elapsed: 0.291 s
% 2.75/0.79 % (29015)Instructions burned: 879 (million)
% 2.75/0.79 % (29015)------------------------------
% 2.75/0.79 % (29015)------------------------------
% 2.75/0.80 % (29153)Instruction limit reached!
% 2.75/0.80 % (29153)------------------------------
% 2.75/0.80 % (29153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.80 % (29153)Termination reason: Unknown
% 2.75/0.80 % (29153)Termination phase: Property scanning
% 2.75/0.80
% 2.75/0.80 % (29153)Memory used [KB]: 3070
% 2.75/0.80 % (29153)Time elapsed: 0.020 s
% 2.75/0.80 % (29153)Instructions burned: 64 (million)
% 2.75/0.80 % (29153)------------------------------
% 2.75/0.80 % (29153)------------------------------
% 2.75/0.80 % (29155)Instruction limit reached!
% 2.75/0.80 % (29155)------------------------------
% 2.75/0.80 % (29155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.75/0.80 % (29155)Termination reason: Unknown
% 2.75/0.80 % (29155)Termination phase: shuffling
% 2.75/0.80
% 2.75/0.80 % (29155)Memory used [KB]: 2430
% 2.75/0.80 % (29155)Time elapsed: 0.012 s
% 2.75/0.80 % (29155)Instructions burned: 33 (million)
% 2.75/0.80 % (29155)------------------------------
% 2.75/0.80 % (29155)------------------------------
% 2.92/0.80 % (29120)Instruction limit reached!
% 2.92/0.80 % (29120)------------------------------
% 2.92/0.80 % (29120)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.92/0.80 % (29120)Termination reason: Unknown
% 2.92/0.80 % (29120)Termination phase: Saturation
% 2.92/0.80
% 2.92/0.80 % (29120)Memory used [KB]: 8059
% 2.92/0.80 % (29120)Time elapsed: 0.121 s
% 2.92/0.80 % (29120)Instructions burned: 448 (million)
% 2.92/0.80 % (29120)------------------------------
% 2.92/0.80 % (29120)------------------------------
% 2.92/0.80 % (29163)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.92/0.81 % (29165)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)
% 2.92/0.81 % (29166)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)
% 2.92/0.81 % (29167)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)
% 2.92/0.83 % (29166)Instruction limit reached!
% 2.92/0.83 % (29166)------------------------------
% 2.92/0.83 % (29166)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.92/0.83 % (29166)Termination reason: Unknown
% 2.92/0.83 % (29166)Termination phase: Property scanning
% 2.92/0.83
% 2.92/0.83 % (29166)Memory used [KB]: 2814
% 2.92/0.83 % (29166)Time elapsed: 0.022 s
% 2.92/0.83 % (29166)Instructions burned: 74 (million)
% 2.92/0.83 % (29166)------------------------------
% 2.92/0.83 % (29166)------------------------------
% 2.92/0.83 % (29163)Instruction limit reached!
% 2.92/0.83 % (29163)------------------------------
% 2.92/0.83 % (29163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.92/0.83 % (29163)Termination reason: Unknown
% 2.92/0.83 % (29163)Termination phase: Naming
% 2.92/0.83
% 2.92/0.83 % (29163)Memory used [KB]: 2942
% 2.92/0.83 % (29163)Time elapsed: 0.029 s
% 2.92/0.83 % (29163)Instructions burned: 97 (million)
% 2.92/0.83 % (29163)------------------------------
% 2.92/0.83 % (29163)------------------------------
% 2.92/0.84 % (29174)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.92/0.84 % (29167)Instruction limit reached!
% 2.92/0.84 % (29167)------------------------------
% 2.92/0.84 % (29167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.92/0.84 % (29167)Termination reason: Unknown
% 2.92/0.84 % (29167)Termination phase: Property scanning
% 2.92/0.84
% 2.92/0.84 % (29167)Memory used [KB]: 2942
% 2.92/0.84 % (29167)Time elapsed: 0.026 s
% 2.92/0.84 % (29167)Instructions burned: 86 (million)
% 2.92/0.84 % (29167)------------------------------
% 2.92/0.84 % (29167)------------------------------
% 3.15/0.84 % (29174)Instruction limit reached!
% 3.15/0.84 % (29174)------------------------------
% 3.15/0.84 % (29174)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.84 % (29174)Termination reason: Unknown
% 3.15/0.84 % (29174)Termination phase: shuffling
% 3.15/0.84
% 3.15/0.84 % (29174)Memory used [KB]: 1918
% 3.15/0.84 % (29174)Time elapsed: 0.005 s
% 3.15/0.84 % (29174)Instructions burned: 13 (million)
% 3.15/0.84 % (29174)------------------------------
% 3.15/0.84 % (29174)------------------------------
% 3.15/0.84 % (29175)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 (2995ds/41Mi)
% 3.15/0.85 % (29179)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.15/0.85 % (29179)Instruction limit reached!
% 3.15/0.85 % (29179)------------------------------
% 3.15/0.85 % (29179)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.85 % (29179)Termination reason: Unknown
% 3.15/0.85 % (29179)Termination phase: shuffling
% 3.15/0.85
% 3.15/0.85 % (29179)Memory used [KB]: 1791
% 3.15/0.85 % (29179)Time elapsed: 0.004 s
% 3.15/0.85 % (29179)Instructions burned: 7 (million)
% 3.15/0.85 % (29179)------------------------------
% 3.15/0.85 % (29179)------------------------------
% 3.15/0.85 % (29180)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.15/0.85 % (29175)Instruction limit reached!
% 3.15/0.85 % (29175)------------------------------
% 3.15/0.85 % (29175)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.85 % (29175)Termination reason: Unknown
% 3.15/0.85 % (29175)Termination phase: shuffling
% 3.15/0.85
% 3.15/0.85 % (29175)Memory used [KB]: 2558
% 3.15/0.85 % (29175)Time elapsed: 0.013 s
% 3.15/0.85 % (29175)Instructions burned: 41 (million)
% 3.15/0.85 % (29175)------------------------------
% 3.15/0.85 % (29175)------------------------------
% 3.15/0.86 % (29182)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)
% 3.15/0.86 % (29185)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)
% 3.15/0.87 % (29129)Instruction limit reached!
% 3.15/0.87 % (29129)------------------------------
% 3.15/0.87 % (29129)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.87 % (29129)Termination reason: Unknown
% 3.15/0.87 % (29129)Termination phase: Saturation
% 3.15/0.87
% 3.15/0.87 % (29129)Memory used [KB]: 8571
% 3.15/0.87 % (29129)Time elapsed: 0.161 s
% 3.15/0.87 % (29129)Instructions burned: 507 (million)
% 3.15/0.87 % (29129)------------------------------
% 3.15/0.87 % (29129)------------------------------
% 3.15/0.88 % (29195)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)
% 3.15/0.88 % (29149)Instruction limit reached!
% 3.15/0.88 % (29149)------------------------------
% 3.15/0.88 % (29149)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.88 % (29149)Termination reason: Unknown
% 3.15/0.88 % (29149)Termination phase: Saturation
% 3.15/0.88
% 3.15/0.88 % (29149)Memory used [KB]: 3454
% 3.15/0.88 % (29149)Time elapsed: 0.118 s
% 3.15/0.88 % (29149)Instructions burned: 434 (million)
% 3.15/0.88 % (29149)------------------------------
% 3.15/0.88 % (29149)------------------------------
% 3.15/0.88 % (29137)First to succeed.
% 3.15/0.89 % (29137)Refutation found. Thanks to Tanya!
% 3.15/0.89 % SZS status Theorem for theBenchmark
% 3.15/0.89 % SZS output start Proof for theBenchmark
% 3.15/0.89 thf(func_def_0, type, in: $i > $i > $o).
% 3.15/0.89 thf(func_def_1, type, exu: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 3.15/0.89 thf(func_def_8, type, powerset: $i > $i).
% 3.15/0.89 thf(func_def_10, type, setunion: $i > $i).
% 3.15/0.89 thf(func_def_19, type, descr: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_26, type, prop2set: $o > $i).
% 3.15/0.89 thf(func_def_36, type, nonempty: $i > $o).
% 3.15/0.89 thf(func_def_69, type, set2prop: $i > $o).
% 3.15/0.89 thf(func_def_88, type, subset: $i > $i > $o).
% 3.15/0.89 thf(func_def_89, type, disjoint: $i > $i > $o).
% 3.15/0.89 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 3.15/0.89 thf(func_def_114, type, binunion: $i > $i > $i).
% 3.15/0.89 thf(func_def_122, type, binintersect: $i > $i > $i).
% 3.15/0.89 thf(func_def_135, type, regular: $i > $o).
% 3.15/0.89 thf(func_def_136, type, setminus: $i > $i > $i).
% 3.15/0.89 thf(func_def_147, type, symdiff: $i > $i > $i).
% 3.15/0.89 thf(func_def_153, type, iskpair: $i > $o).
% 3.15/0.89 thf(func_def_158, type, kpair: $i > $i > $i).
% 3.15/0.89 thf(func_def_160, type, cartprod: $i > $i > $i).
% 3.15/0.89 thf(func_def_177, type, singleton: $i > $o).
% 3.15/0.89 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_184, type, atmost1p: $i > $o).
% 3.15/0.89 thf(func_def_185, type, atleast2p: $i > $o).
% 3.15/0.89 thf(func_def_186, type, atmost2p: $i > $o).
% 3.15/0.89 thf(func_def_187, type, upairsetp: $i > $o).
% 3.15/0.89 thf(func_def_191, type, kfst: $i > $i).
% 3.15/0.89 thf(func_def_203, type, ksnd: $i > $i).
% 3.15/0.89 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_222, type, func: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_223, type, funcSet: $i > $i > $i).
% 3.15/0.89 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 3.15/0.89 thf(func_def_323, type, breln1: $i > $i > $o).
% 3.15/0.89 thf(func_def_325, type, breln1Set: $i > $i).
% 3.15/0.89 thf(func_def_327, type, transitive: $i > $i > $o).
% 3.15/0.89 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 3.15/0.89 thf(func_def_329, type, reflexive: $i > $i > $o).
% 3.15/0.89 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 3.15/0.89 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 3.15/0.89 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 3.15/0.89 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 3.15/0.89 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 3.15/0.89 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 3.15/0.89 thf(func_def_378, type, omegaS: $i > $i).
% 3.15/0.89 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_386, type, peano: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_387, type, transitiveset: $i > $o).
% 3.15/0.89 thf(func_def_392, type, stricttotalorderedByIn: $i > $o).
% 3.15/0.89 thf(func_def_393, type, wellorderedByIn: $i > $o).
% 3.15/0.89 thf(func_def_394, type, ordinal: $i > $o).
% 3.15/0.89 thf(func_def_395, type, limitOrdinal: $i > $o).
% 3.15/0.89 thf(func_def_413, type, sP0: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_415, type, sP2: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_416, type, sP3: $i > $i > $o).
% 3.15/0.89 thf(func_def_418, type, sP5: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_422, type, sP9: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_424, type, sP11: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_425, type, sP12: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_426, type, sP13: ($i > $i) > $i > $i > $o).
% 3.15/0.89 thf(func_def_428, type, sP15: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_430, type, sP17: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_431, type, sP18: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_432, type, sP19: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_433, type, sP20: $i > $i > $o).
% 3.15/0.89 thf(func_def_434, type, sP21: $i > $i > $o).
% 3.15/0.89 thf(func_def_435, type, sP22: $i > $i > $o).
% 3.15/0.89 thf(func_def_436, type, sP23: $i > $o).
% 3.15/0.89 thf(func_def_437, type, sP24: $i > $i > $o).
% 3.15/0.89 thf(func_def_438, type, sP25: $i > $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_439, type, sP26: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_440, type, sP27: ($i > $i) > $i > $i > $o).
% 3.15/0.89 thf(func_def_444, type, sP31: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_445, type, sP32: $i > ($i > $o) > $i > $i > $o).
% 3.15/0.89 thf(func_def_447, type, sP34: ($i > $i) > $i > $i > $o).
% 3.15/0.89 thf(func_def_449, type, sP36: $i > $i > ($i > $i) > $o).
% 3.15/0.89 thf(func_def_451, type, sP38: $i > $i > $o > $o).
% 3.15/0.89 thf(func_def_452, type, sP39: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_454, type, sP41: ($i > $o) > ($i > $o) > $i > $i > $o).
% 3.15/0.89 thf(func_def_455, type, sP42: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_456, type, sP43: $i > $o).
% 3.15/0.89 thf(func_def_457, type, sP44: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_458, type, sP45: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_459, type, sP46: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_460, type, sP47: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_462, type, sP49: $i > $i > ($i > $i > $o) > $o).
% 3.15/0.89 thf(func_def_463, type, sP50: ($i > $i > $o) > $i > $i > $o).
% 3.15/0.89 thf(func_def_465, type, sP52: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_466, type, sP53: ($i > $o) > $i > $i > $o).
% 3.15/0.89 thf(func_def_467, type, sP54: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_468, type, sP55: $i > $i > $o > $o).
% 3.15/0.89 thf(func_def_469, type, sP56: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_470, type, sP57: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_471, type, sP58: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_474, type, sP61: $o > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_475, type, sP62: $i > $i > $i > $o > $o).
% 3.15/0.89 thf(func_def_476, type, sP63: $o > $i > $i > $o).
% 3.15/0.89 thf(func_def_477, type, sP64: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_479, type, sP66: $i > $i > $o).
% 3.15/0.89 thf(func_def_482, type, sP69: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_484, type, sP71: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_485, type, sP72: ($i > $o) > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_487, type, sP74: $i > $o).
% 3.15/0.89 thf(func_def_488, type, sP75: $i > $o).
% 3.15/0.89 thf(func_def_489, type, sP76: $i > $i > $i > $o > $i > $i > $o).
% 3.15/0.89 thf(func_def_490, type, sP77: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_491, type, sP78: $i > ($i > $i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_492, type, sP79: $i > ($i > $i > $o) > $o).
% 3.15/0.89 thf(func_def_494, type, sP81: $i > $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_495, type, sP82: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_496, type, sP83: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_497, type, sP84: $o > $i > $i > $o).
% 3.15/0.89 thf(func_def_499, type, sP86: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_501, type, sP88: $i > ($i > $o) > $o).
% 3.15/0.89 thf(func_def_502, type, sP89: $i > ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_503, type, sP90: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_504, type, sP91: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_506, type, sP93: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_507, type, sP94: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_509, type, sP96: $i > ($i > $i) > $i > $o).
% 3.15/0.89 thf(func_def_511, type, sP98: ($i > $o) > $i > $o).
% 3.15/0.89 thf(func_def_513, type, sP100: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_514, type, sP101: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_515, type, sP102: $i > $i > $i > $o > $o).
% 3.15/0.89 thf(func_def_516, type, sP103: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_517, type, sP104: ($i > $o) > $o).
% 3.15/0.89 thf(func_def_518, type, sP105: $i > $i > $o).
% 3.15/0.89 thf(func_def_522, type, sK109: $i > $i).
% 3.15/0.89 thf(func_def_527, type, sK114: $i > $o).
% 3.15/0.89 thf(func_def_534, type, sK121: $i > $o).
% 3.15/0.89 thf(func_def_538, type, sK125: $i > $i).
% 3.15/0.89 thf(func_def_556, type, sK143: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_557, type, sK144: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_558, type, sK145: $i > $o).
% 3.15/0.89 thf(func_def_566, type, sK153: $i > $o).
% 3.15/0.89 thf(func_def_580, type, sK167: $i > $o).
% 3.15/0.89 thf(func_def_581, type, sK168: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_584, type, sK171: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_590, type, sK177: $i > $i > $i).
% 3.15/0.89 thf(func_def_594, type, sK181: $i > $o).
% 3.15/0.89 thf(func_def_595, type, sK182: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_596, type, sK183: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_600, type, sK187: $i > $o).
% 3.15/0.89 thf(func_def_607, type, sK194: $i > $i > $o).
% 3.15/0.89 thf(func_def_615, type, sK202: $i > $i > $i).
% 3.15/0.89 thf(func_def_628, type, sK215: $i > $o).
% 3.15/0.89 thf(func_def_640, type, sK227: $i > $i).
% 3.15/0.89 thf(func_def_666, type, sK253: $i > $o).
% 3.15/0.89 thf(func_def_667, type, sK254: $i > $o).
% 3.15/0.89 thf(func_def_668, type, sK255: ($i > $o) > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_669, type, sK256: ($i > $o) > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_676, type, sK263: $i > $o).
% 3.15/0.89 thf(func_def_678, type, sK265: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_679, type, sK266: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_706, type, sK293: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_707, type, sK294: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_708, type, sK295: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_710, type, sK297: $i > $o).
% 3.15/0.89 thf(func_def_715, type, sK302: $i > $o).
% 3.15/0.89 thf(func_def_722, type, sK309: $i > $i).
% 3.15/0.89 thf(func_def_724, type, sK311: $i > ($i > $i) > $i > $i).
% 3.15/0.89 thf(func_def_725, type, sK312: ($i > $i) > $i > $i > $i).
% 3.15/0.89 thf(func_def_726, type, sK313: $i > ($i > $i) > $i > $i > $i).
% 3.15/0.89 thf(func_def_730, type, sK317: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_731, type, sK318: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_732, type, sK319: $i > $o).
% 3.15/0.89 thf(func_def_758, type, sK345: $i > $i).
% 3.15/0.89 thf(func_def_760, type, sK347: $i > $o).
% 3.15/0.89 thf(func_def_763, type, sK350: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_764, type, sK351: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_765, type, sK352: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_766, type, sK353: $i > $o).
% 3.15/0.89 thf(func_def_777, type, sK364: $i > $i > $i).
% 3.15/0.89 thf(func_def_778, type, sK365: $i > $i > $i).
% 3.15/0.89 thf(func_def_779, type, sK366: $i > $i > $i).
% 3.15/0.89 thf(func_def_780, type, sK367: $i > $i).
% 3.15/0.89 thf(func_def_781, type, sK368: $i > $i).
% 3.15/0.89 thf(func_def_782, type, sK369: $i > $i).
% 3.15/0.89 thf(func_def_783, type, sK370: $i > $i).
% 3.15/0.89 thf(func_def_784, type, sK371: $i > $i > $i).
% 3.15/0.89 thf(func_def_785, type, sK372: $i > $i > $i).
% 3.15/0.89 thf(func_def_786, type, sK373: $i > $i > $i).
% 3.15/0.89 thf(func_def_787, type, sK374: $i > $i > $i).
% 3.15/0.89 thf(func_def_788, type, sK375: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_789, type, sK376: $i > $i > $i).
% 3.15/0.89 thf(func_def_790, type, sK377: $i > $i > $i).
% 3.15/0.89 thf(func_def_791, type, sK378: $i > $i > $i).
% 3.15/0.89 thf(func_def_792, type, sK379: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_793, type, sK380: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_794, type, sK381: $i > $i).
% 3.15/0.89 thf(func_def_797, type, sK384: $i > $i > $o).
% 3.15/0.89 thf(func_def_802, type, sK389: $i > $i > $o).
% 3.15/0.89 thf(func_def_804, type, sK391: $i > $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_805, type, sK392: $i > $o).
% 3.15/0.89 thf(func_def_820, type, sK407: $i > $o).
% 3.15/0.89 thf(func_def_831, type, sK418: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_832, type, sK419: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_833, type, sK420: $i > $o).
% 3.15/0.89 thf(func_def_838, type, sK425: $i > $i).
% 3.15/0.89 thf(func_def_840, type, sK427: ($i > $i) > $i > $i > $i).
% 3.15/0.89 thf(func_def_842, type, sK429: $i > $i).
% 3.15/0.89 thf(func_def_844, type, sK431: $i > ($i > $i) > $i > $i).
% 3.15/0.89 thf(func_def_850, type, sK437: $i > $i > $o).
% 3.15/0.89 thf(func_def_854, type, sK441: $i > $i > $i).
% 3.15/0.89 thf(func_def_864, type, sK451: $i > $o).
% 3.15/0.89 thf(func_def_870, type, sK457: $i > $i > $i).
% 3.15/0.89 thf(func_def_873, type, sK460: $i > ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_874, type, sK461: $i > ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_875, type, sK462: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_879, type, sK466: $i > $o).
% 3.15/0.89 thf(func_def_888, type, sK475: $i > $i > $i).
% 3.15/0.89 thf(func_def_892, type, sK479: $i > $i).
% 3.15/0.89 thf(func_def_893, type, sK480: $i > $i).
% 3.15/0.89 thf(func_def_894, type, sK481: ($i > $i) > $i > $i).
% 3.15/0.89 thf(func_def_895, type, sK482: ($i > $i) > $i > $i > $i).
% 3.15/0.89 thf(func_def_898, type, sK485: $i > $i).
% 3.15/0.89 thf(func_def_899, type, sK486: ($i > $i) > $i > $i > $i).
% 3.15/0.89 thf(func_def_900, type, sK487: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_908, type, sK495: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_928, type, sK515: $i > $i > $i).
% 3.15/0.89 thf(func_def_930, type, sK517: $i > $i > $o).
% 3.15/0.89 thf(func_def_932, type, sK519: $i > $i).
% 3.15/0.89 thf(func_def_937, type, sK524: ($i > $o) > ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_938, type, sK525: ($i > $o) > ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_941, type, sK528: $i > $o).
% 3.15/0.89 thf(func_def_942, type, sK529: $i > $o).
% 3.15/0.89 thf(func_def_954, type, sK541: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_955, type, sK542: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_970, type, sK557: $i > $i > $i).
% 3.15/0.89 thf(func_def_971, type, sK558: $i > $i).
% 3.15/0.89 thf(func_def_979, type, sK566: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_980, type, sK567: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_981, type, sK568: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_982, type, sK569: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_988, type, sK575: $i > $o).
% 3.15/0.89 thf(func_def_989, type, sK576: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_990, type, sK577: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_998, type, sK585: $i > $o).
% 3.15/0.89 thf(func_def_1000, type, sK587: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1001, type, sK588: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1002, type, sK589: $i > ($i > $i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1003, type, sK590: ($i > $i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_1004, type, sK591: $i > $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_1005, type, sK592: $i > $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_1007, type, sK594: $i > $i > $o).
% 3.15/0.89 thf(func_def_1021, type, sK608: $i > $i > $o).
% 3.15/0.89 thf(func_def_1026, type, sK613: $i > $i).
% 3.15/0.89 thf(func_def_1029, type, sK616: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_1038, type, sK625: ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_1039, type, sK626: ($i > $o) > $i > $i > $i).
% 3.15/0.89 thf(func_def_1040, type, sK627: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1043, type, sK630: $i > $o).
% 3.15/0.89 thf(func_def_1059, type, sK646: $i > $o).
% 3.15/0.89 thf(func_def_1061, type, sK648: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1062, type, sK649: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1071, type, sK658: $i > $i > $o > $i).
% 3.15/0.89 thf(func_def_1078, type, sK665: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1079, type, sK666: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1080, type, sK667: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1081, type, sK668: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1115, type, sK702: $i > $i > $o).
% 3.15/0.89 thf(func_def_1122, type, sK709: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1123, type, sK710: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1124, type, sK711: $i > $o).
% 3.15/0.89 thf(func_def_1140, type, sK727: $i > $i).
% 3.15/0.89 thf(func_def_1142, type, sK729: $i > ($i > $i) > $i > $i).
% 3.15/0.89 thf(func_def_1143, type, sK730: $i > $o).
% 3.15/0.89 thf(func_def_1144, type, sK731: $i > $o).
% 3.15/0.89 thf(func_def_1145, type, sK732: ($i > $o) > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1146, type, sK733: ($i > $o) > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1175, type, sK762: $i > $i > $o).
% 3.15/0.89 thf(func_def_1218, type, sK805: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1219, type, sK806: $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_1225, type, sK812: $i > $i).
% 3.15/0.89 thf(func_def_1228, type, sK815: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_1231, type, sK818: $i > $i > $i).
% 3.15/0.89 thf(func_def_1232, type, sK819: $i > $i > $i).
% 3.15/0.89 thf(func_def_1233, type, sK820: $i > $i).
% 3.15/0.89 thf(func_def_1236, type, sK823: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_1257, type, sK844: ($i > $o) > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1258, type, sK845: ($i > $o) > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1259, type, sK846: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1263, type, sK850: $i > $o).
% 3.15/0.89 thf(func_def_1303, type, sK890: $i > $i).
% 3.15/0.89 thf(func_def_1307, type, sK894: $i > $i).
% 3.15/0.89 thf(func_def_1313, type, sK900: $i > $i).
% 3.15/0.89 thf(func_def_1322, type, sK909: $i > $o).
% 3.15/0.89 thf(func_def_1323, type, sK910: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1324, type, sK911: $i > $i).
% 3.15/0.89 thf(func_def_1325, type, sK912: $i > $i).
% 3.15/0.89 thf(func_def_1327, type, sK914: $i > $i > $i > $o > $i > $i > $i).
% 3.15/0.89 thf(func_def_1340, type, sK927: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1345, type, sK932: $i > $i > $o).
% 3.15/0.89 thf(func_def_1347, type, sK934: $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_1348, type, sK935: $i > $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_1349, type, sK936: $i > ($i > $i > $o) > $i).
% 3.15/0.89 thf(func_def_1350, type, sK937: $i > ($i > $i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1357, type, sK944: $i > $o).
% 3.15/0.89 thf(func_def_1366, type, sK953: $i > $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1377, type, sK964: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1378, type, sK965: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1387, type, sK974: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1388, type, sK975: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1423, type, sK1010: $i > $o).
% 3.15/0.89 thf(func_def_1425, type, sK1012: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1426, type, sK1013: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1437, type, sK1024: $i > ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1438, type, sK1025: $i > ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1439, type, sK1026: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1442, type, sK1029: $i > $o).
% 3.15/0.89 thf(func_def_1463, type, sK1050: $i > $o).
% 3.15/0.89 thf(func_def_1501, type, sK1088: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1502, type, sK1089: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1503, type, sK1090: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1504, type, sK1091: $i > $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1522, type, sK1109: $i > $i > $i).
% 3.15/0.89 thf(func_def_1523, type, sK1110: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1537, type, sK1124: $i > $o).
% 3.15/0.89 thf(func_def_1539, type, sK1126: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1540, type, sK1127: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1550, type, sK1137: $i > $i).
% 3.15/0.89 thf(func_def_1553, type, sK1140: $i > $i > ($i > $i) > $i).
% 3.15/0.89 thf(func_def_1554, type, sK1141: $i > ($i > $i) > $i > $i).
% 3.15/0.89 thf(func_def_1558, type, sK1145: $i > $o).
% 3.15/0.89 thf(func_def_1559, type, sK1146: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1560, type, sK1147: ($i > $o) > $i > $i).
% 3.15/0.89 thf(func_def_1566, type, sK1153: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1567, type, sK1154: $i > $i > $i > $i).
% 3.15/0.89 thf(func_def_1579, type, sK1166: $i > $i > $i > $i > $o).
% 3.15/0.89 thf(func_def_1593, type, sK1180: $i > ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1594, type, sK1181: ($i > $o) > $i).
% 3.15/0.89 thf(func_def_1595, type, sK1182: $i > $o).
% 3.15/0.89 thf(func_def_1602, type, sK1189: $i > $i > $i).
% 3.15/0.89 thf(func_def_1608, type, ph1195: !>[X0: $tType]:(X0)).
% 3.15/0.89 thf(f8594,plain,(
% 3.15/0.89 $false),
% 3.15/0.89 inference(subsumption_resolution,[],[f8593,f7221])).
% 3.15/0.89 thf(f7221,plain,(
% 3.15/0.89 ($true = (transitiveset @ sK251))),
% 3.15/0.89 inference(binary_proxy_clausification,[],[f7220])).
% 3.15/0.89 thf(f7220,plain,(
% 3.15/0.89 (((wellorderedByIn @ sK251) & (transitiveset @ sK251)) = $true)),
% 3.15/0.89 inference(beta_eta_normalization,[],[f5747])).
% 3.15/0.89 thf(f5747,plain,(
% 3.15/0.89 ($true = ((^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))) @ sK251))),
% 3.15/0.89 inference(definition_unfolding,[],[f3854,f4775])).
% 3.15/0.89 thf(f4775,plain,(
% 3.15/0.89 (ordinal = (^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))))),
% 3.15/0.89 inference(cnf_transformation,[],[f493])).
% 3.15/0.89 thf(f493,plain,(
% 3.15/0.89 (ordinal = (^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))))),
% 3.15/0.89 inference(fool_elimination,[],[f492])).
% 3.15/0.89 thf(f492,plain,(
% 3.15/0.89 ((^[X0 : $i] : ((transitiveset @ X0) & (wellorderedByIn @ X0))) = ordinal)),
% 3.15/0.89 inference(rectify,[],[f338])).
% 3.15/0.89 thf(f338,axiom,(
% 3.15/0.89 ((^[X1 : $i] : ((transitiveset @ X1) & (wellorderedByIn @ X1))) = ordinal)),
% 3.15/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinal)).
% 3.15/0.89 thf(f3854,plain,(
% 3.15/0.89 ($true = (ordinal @ sK251))),
% 3.15/0.89 inference(cnf_transformation,[],[f1906])).
% 3.15/0.89 thf(f1906,plain,(
% 3.15/0.89 (binunionIL = $true) & (doubleComplementSub1 = $true) & (setoftrueEq = $true) & (setminusEL = $true) & (beta2 = $true) & (binintersectSubset5 = $true) & (cartprodsndin = $true) & (breln1compprop = $true) & (demorgan2 = $true) & (ex1I2 = $true) & (choice2fnsingleton = $true) & (cartprodpairmemER = $true) & (kpairsurjEq = $true) & (binunionTE = $true) & (notinself = $true) & (complementTcontraSubset = $true) & (iffalseProp1 = $true) & (subsetI2 = $true) & (ap2apEq1 = $true) & (iftrueorfalse = $true) & (nonemptyI1 = $true) & (ex1E1 = $true) & (setminusT_lem = $true) & (sepSubset = $true) & (woz1_3 = $true) & (singletoninpowunion = $true) & (theeq = $true) & (upairsubunion = $true) & (ex1I = $true) & (emptyE1 = $true) & (cartprodmempair = $true) & (dpsetconstrER = $true) & (woz2A = $true) & (subPowSU = $true) & (demorgan2a2 = $true) & (demorgan2b = $true) & (iffalseProp2 = $true) & (foundationAx = $true) & (image1Ex1 = $true) & (contraSubsetComplement = $true) & (cartprodpairin = $true) & (emptyInPowerset = $true) & (peanoSinj = $true) & (upairset2E = $true) & (woz1_2 = $true) & (setunionAx = $true) & (breln1compE = $true) & (binunionLsub = $true) & (exuI2 = $true) & (eqimpsubset2 = $true) & (subsetTrans = $true) & (dpsetconstrERa = $true) & (exuI3 = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (woz1_4 = $true) & (binintersectSubset1 = $true) & (cartprodpairsurjEq = $true) & (ubforcartprodlem1 = $true) & (doubleComplementI1 = $true) & (notinemptyset = $true) & (breln1invprop = $true) & (emptysetsubset = $true) & (dpsetconstrEL1 = $true) & (emptyset__Cong = $true) & (symdiffIneg2 = $true) & (breln1SetBreln1 = $true) & (dpsetconstrSub = $true) & (iftrueProp1 = $true) & (omegaIndAx = $true) & (ifSingleton = $true) & (setukpairinjR = $true) & (setminusELneg = $true) & (binintersectSubset4 = $true) & (powersetE = $true) & (setadjoinAx = $true) & (inIntersectImpInUnion = $true) & (setukpairinjR2 = $true) & (injFuncSetFuncInj = $true) & (setukpairIR = $true) & (dsetconstr__Cong = $true) & (eqimpsubset1 = $true) & (breln1compI = $true) & (cartprodmempaircEq = $true) & (breln1all1 = $true) & (funcinfuncset = $true) & (contrasubsetT3 = $true) & (exuE3u = $true) & (singletonsuniq = $true) & (setadjoinSub = $true) & (upairequniteq = $true) & (setext = $true) & (setminusSubset1 = $true) & (image1E = $true) & (upairinpowunion = $true) & (setOfPairsIsBReln1 = $true) & (binintersectT_lem = $true) & (ksndsingleton = $true) & (setukpairinjL1 = $true) & (singletonsswitch = $true) & (exuEu = $true) & (subsetRefl = $true) & (cartprodsndpairEq = $true) & (ubforcartprodlem3 = $true) & (binunionTILcontra = $true) & (woz2W = $true) & (emptysetE = $true) & (subbreln = $true) & (setminusER = $true) & (doubleComplementEq = $true) & (symdiffE = $true) & (brelnall1 = $true) & (exu__Cong = $true) & (ifp = $true) & (nonemptyImpWitness = $true) & (setminusSubset2 = $true) & (iftrue = $true) & (symdiffI2 = $true) & (in__Cong = $true) & (binintersectEL = $true) & (complementTnotintersectT = $true) & (upairsetE = $true) & (quantDeMorgan4 = $true) & (symdiffI1 = $true) & (inPowerset = $true) & (breln1all2 = $true) & (symdiffIneg1 = $true) & (binintersectRsub = $true) & (setminusILneg = $true) & (secondinupair = $true) & (omegaSclos = $true) & (complementUnionInPowersetComplement = $true) & (funcGraphProp4 = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (iftrueProp2 = $true) & (binintersectSubset3 = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (exuE1 = $true) & (foundation2 = $true) & (demorgan2a1 = $true) & (contrasubsetT1 = $true) & (theprop = $true) & (breln1unionIR = $true) & (cartprodmempair1 = $true) & (leftInvIsSurj = $true) & (wellorderingAx = $true) & (setminusLsub = $true) & (woz13rule1 = $true) & (funcGraphProp1 = $true) & (binunionT_lem = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (omega0Ax = $true) & (intersectInPowersetIntersectUnions = $true) & (exuI1 = $true) & (contrasubsetT = $true) & (binunionE = $true) & (prop2set2propI = $true) & (surjFuncSetFuncIn = $true) & (complementT_lem = $true) & (funcext2 = $true) & (eta1 = $true) & (iffalse = $true) & (contrasubsetT2 = $true) & (singletonprop = $true) & (kfstsingleton = $true) & (woz13rule4 = $true) & (quantDeMorgan1 = $true) & (powersetTI1 = $true) & (disjointsetsI1 = $true) & (subsetI1 = $true) & (binunionIR = $true) & (infuncsetfunc = $true) & (funcImageSingleton = $true) & (emptysetAx = $true) & (dpsetconstrEL2 = $true) & (image1Equiv = $true) & (omegaSp = $true) & (powersetsubset = $true) & (lam2p = $true) & (binintersectTELcontra = $true) & (upairsetIR = $true) & (ap2apEq2 = $true) & (setukpairIL = $true) & (beta1 = $true) & (surjFuncSetFuncSurj = $true) & (replAx = $true) & (cartprodfstin = $true) & (ap2p = $true) & (setminusERneg = $true) & (funcext = $true) & (breln1unionEcases = $true) & (ordinalMinLem1 = $true) & (breln1invE = $true) & (quantDeMorgan3 = $true) & (powersetI1 = $true) & (breln1unionIL = $true) & (complementInPowersetComplementIntersect = $true) & (upairset2IR = $true) & (dpsetconstrI = $true) & (singletonsubset = $true) & (prop2setI = $true) & (emptyI = $true) & (kpairp = $true) & (funcGraphProp3 = $true) & (binunionRsub = $true) & (binunionEcases = $true) & (binintersectSubset2 = $true) & (demorgan1 = $true) & (binintersectER = $true) & (setOfPairsIsBReln = $true) & (setunionI = $true) & (ubforcartprodlem2 = $true) & (eqbreln = $true) & (complementImpComplementIntersect = $true) & (setextAx = $true) & (subsetTI = $true) & (peano0notS = $true) & (setukpairinjL2 = $true) & (subbreln1 = $true) & (setukpairinjR12 = $true) & (setadjoinE = $true) & (breln1invI = $true) & (descr__Cong = $true) & (subsetemptysetimpeq = $true) & (binintersectTERcontra = $true) & (breln1compEex = $true) & (woz2Ex = $true) & (setadjoinOr = $true) & (demorgan1b = $true) & (setunionsingleton = $true) & (emptysetimpfalse = $true) & (demorgan2b2 = $true) & (woz13rule3 = $true) & (app = $true) & (breln1unionI = $true) & (descrp = $true) & (complementSubsetComplementIntersect = $true) & (notequalI1 = $true) & (woz13rule2 = $true) & (eqbreln1 = $true) & (injFuncSetFuncIn = $true) & (ksndpairEq = $true) & (subset2powerset = $true) & (setminusIRneg = $true) & ((($true != (subset @ sK252 @ sK251)) & ($true = (in @ sK252 @ sK251))) & ($true = (ordinal @ sK251))) & (complementTI1 = $true) & (powersetE1 = $true) & (setadjoinIR = $true) & (setadjoinIL = $true) & (demorgan2a = $true) & (bs114d = $true) & (nonemptyE1 = $true) & (brelnall2 = $true) & (lamp = $true) & (noeltsimpempty = $true) & (setunionE2 = $true) & (woz2B = $true) & (notinself2 = $true) & (kpairiskpair = $true) & (notequalI2 = $true) & (breln1unionCommutes = $true) & (powerset__Cong = $true) & (injFuncInInjFuncSet = $true) & (subsetE = $true) & (eqinunit = $true) & (setukpairinjL = $true) & (dsetconstrI = $true) & (binunionTEcontra = $true) & (inComplementUnionImpNotIn1 = $true) & (image1Ex = $true) & (cartprodfstpairEq = $true) & (setunionTransitive = $true) & (transitivesetOp1 = $true) & (setadjoin__Cong = $true) & (powersetI = $true) & (doubleComplementE1 = $true) & (binintTransitive = $true) & (setukpairinjR11 = $true) & (inIntersectImpInUnion2 = $true) & (setminusI = $true) & (binintersectLsub = $true) & (woz1_1 = $true) & (ex1E2 = $true) & (surjCantorThm = $true) & (kfstpairEq = $true) & (eta2 = $true) & (inIntersectImpInIntersectUnions = $true) & (apProp = $true) & (image1I = $true) & (transitivesetOp2 = $true) & (upairsetIL = $true) & (emptyinPowerset = $true) & (setunionE = $true) & (exuE3e = $true) & (ordinalTransSet = $true) & (prop2setE = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (setadjoinSub2 = $true) & (setextT = $true) & (breln1unionE = $true) & (dsetconstrER = $true) & (setunionsingleton1 = $true) & (inComplementUnionImpInComplement1 = $true) & (binintersectI = $true) & (doubleComplementSub2 = $true) & (setukpairinjR1 = $true) & (uniqinunit = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (sepInPowerset = $true) & (lamProp = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (lam2lamEq = $true) & (powersetAx = $true) & (setextsub = $true) & (powersetT_lem = $true) & (woz13rule0 = $true) & (exuE2 = $true) & (notsubsetI = $true) & (breln1unionprop = $true) & (powersetTE1 = $true) & (notinsingleton = $true) & (omegaSAx = $true) & (setunionsingleton2 = $true) & (funcGraphProp2 = $true) & (woz1_5 = $true) & (notdexE = $true) & (funcextLem = $true) & (complementTE1 = $true) & (demorgan1a = $true)),
% 3.15/0.89 inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252])],[f1238,f1905,f1904])).
% 3.15/0.89 thf(f1904,plain,(
% 3.15/0.89 ? [X0] : (? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true)) & ($true = (ordinal @ X0))) => (? [X1] : (($true != (subset @ X1 @ sK251)) & ($true = (in @ X1 @ sK251))) & ($true = (ordinal @ sK251)))),
% 3.15/0.89 introduced(choice_axiom,[])).
% 3.15/0.89 thf(f1905,plain,(
% 3.15/0.89 ? [X1] : (($true != (subset @ X1 @ sK251)) & ($true = (in @ X1 @ sK251))) => (($true != (subset @ sK252 @ sK251)) & ($true = (in @ sK252 @ sK251)))),
% 3.15/0.89 introduced(choice_axiom,[])).
% 3.15/0.89 thf(f1238,plain,(
% 3.15/0.89 (binunionIL = $true) & (doubleComplementSub1 = $true) & (setoftrueEq = $true) & (setminusEL = $true) & (beta2 = $true) & (binintersectSubset5 = $true) & (cartprodsndin = $true) & (breln1compprop = $true) & (demorgan2 = $true) & (ex1I2 = $true) & (choice2fnsingleton = $true) & (cartprodpairmemER = $true) & (kpairsurjEq = $true) & (binunionTE = $true) & (notinself = $true) & (complementTcontraSubset = $true) & (iffalseProp1 = $true) & (subsetI2 = $true) & (ap2apEq1 = $true) & (iftrueorfalse = $true) & (nonemptyI1 = $true) & (ex1E1 = $true) & (setminusT_lem = $true) & (sepSubset = $true) & (woz1_3 = $true) & (singletoninpowunion = $true) & (theeq = $true) & (upairsubunion = $true) & (ex1I = $true) & (emptyE1 = $true) & (cartprodmempair = $true) & (dpsetconstrER = $true) & (woz2A = $true) & (subPowSU = $true) & (demorgan2a2 = $true) & (demorgan2b = $true) & (iffalseProp2 = $true) & (foundationAx = $true) & (image1Ex1 = $true) & (contraSubsetComplement = $true) & (cartprodpairin = $true) & (emptyInPowerset = $true) & (peanoSinj = $true) & (upairset2E = $true) & (woz1_2 = $true) & (setunionAx = $true) & (breln1compE = $true) & (binunionLsub = $true) & (exuI2 = $true) & (eqimpsubset2 = $true) & (subsetTrans = $true) & (dpsetconstrERa = $true) & (exuI3 = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (woz1_4 = $true) & (binintersectSubset1 = $true) & (cartprodpairsurjEq = $true) & (ubforcartprodlem1 = $true) & (doubleComplementI1 = $true) & (notinemptyset = $true) & (breln1invprop = $true) & (emptysetsubset = $true) & (dpsetconstrEL1 = $true) & (emptyset__Cong = $true) & (symdiffIneg2 = $true) & (breln1SetBreln1 = $true) & (dpsetconstrSub = $true) & (iftrueProp1 = $true) & (omegaIndAx = $true) & (ifSingleton = $true) & (setukpairinjR = $true) & (setminusELneg = $true) & (binintersectSubset4 = $true) & (powersetE = $true) & (setadjoinAx = $true) & (inIntersectImpInUnion = $true) & (setukpairinjR2 = $true) & (injFuncSetFuncInj = $true) & (setukpairIR = $true) & (dsetconstr__Cong = $true) & (eqimpsubset1 = $true) & (breln1compI = $true) & (cartprodmempaircEq = $true) & (breln1all1 = $true) & (funcinfuncset = $true) & (contrasubsetT3 = $true) & (exuE3u = $true) & (singletonsuniq = $true) & (setadjoinSub = $true) & (upairequniteq = $true) & (setext = $true) & (setminusSubset1 = $true) & (image1E = $true) & (upairinpowunion = $true) & (setOfPairsIsBReln1 = $true) & (binintersectT_lem = $true) & (ksndsingleton = $true) & (setukpairinjL1 = $true) & (singletonsswitch = $true) & (exuEu = $true) & (subsetRefl = $true) & (cartprodsndpairEq = $true) & (ubforcartprodlem3 = $true) & (binunionTILcontra = $true) & (woz2W = $true) & (emptysetE = $true) & (subbreln = $true) & (setminusER = $true) & (doubleComplementEq = $true) & (symdiffE = $true) & (brelnall1 = $true) & (exu__Cong = $true) & (ifp = $true) & (nonemptyImpWitness = $true) & (setminusSubset2 = $true) & (iftrue = $true) & (symdiffI2 = $true) & (in__Cong = $true) & (binintersectEL = $true) & (complementTnotintersectT = $true) & (upairsetE = $true) & (quantDeMorgan4 = $true) & (symdiffI1 = $true) & (inPowerset = $true) & (breln1all2 = $true) & (symdiffIneg1 = $true) & (binintersectRsub = $true) & (setminusILneg = $true) & (secondinupair = $true) & (omegaSclos = $true) & (complementUnionInPowersetComplement = $true) & (funcGraphProp4 = $true) & (inCongP = $true) & (cartprodpairmemEL = $true) & (iftrueProp2 = $true) & (binintersectSubset3 = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (exuE1 = $true) & (foundation2 = $true) & (demorgan2a1 = $true) & (contrasubsetT1 = $true) & (theprop = $true) & (breln1unionIR = $true) & (cartprodmempair1 = $true) & (leftInvIsSurj = $true) & (wellorderingAx = $true) & (setminusLsub = $true) & (woz13rule1 = $true) & (funcGraphProp1 = $true) & (binunionT_lem = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (omega0Ax = $true) & (intersectInPowersetIntersectUnions = $true) & (exuI1 = $true) & (contrasubsetT = $true) & (binunionE = $true) & (prop2set2propI = $true) & (surjFuncSetFuncIn = $true) & (complementT_lem = $true) & (funcext2 = $true) & (eta1 = $true) & (iffalse = $true) & (contrasubsetT2 = $true) & (singletonprop = $true) & (kfstsingleton = $true) & (woz13rule4 = $true) & (quantDeMorgan1 = $true) & (powersetTI1 = $true) & (disjointsetsI1 = $true) & (subsetI1 = $true) & (binunionIR = $true) & (infuncsetfunc = $true) & (funcImageSingleton = $true) & (emptysetAx = $true) & (dpsetconstrEL2 = $true) & (image1Equiv = $true) & (omegaSp = $true) & (powersetsubset = $true) & (lam2p = $true) & (binintersectTELcontra = $true) & (upairsetIR = $true) & (ap2apEq2 = $true) & (setukpairIL = $true) & (beta1 = $true) & (surjFuncSetFuncSurj = $true) & (replAx = $true) & (cartprodfstin = $true) & (ap2p = $true) & (setminusERneg = $true) & (funcext = $true) & (breln1unionEcases = $true) & (ordinalMinLem1 = $true) & (breln1invE = $true) & (quantDeMorgan3 = $true) & (powersetI1 = $true) & (breln1unionIL = $true) & (complementInPowersetComplementIntersect = $true) & (upairset2IR = $true) & (dpsetconstrI = $true) & (singletonsubset = $true) & (prop2setI = $true) & (emptyI = $true) & (kpairp = $true) & (funcGraphProp3 = $true) & (binunionRsub = $true) & (binunionEcases = $true) & (binintersectSubset2 = $true) & (demorgan1 = $true) & (binintersectER = $true) & (setOfPairsIsBReln = $true) & (setunionI = $true) & (ubforcartprodlem2 = $true) & (eqbreln = $true) & (complementImpComplementIntersect = $true) & (setextAx = $true) & (subsetTI = $true) & (peano0notS = $true) & (setukpairinjL2 = $true) & (subbreln1 = $true) & (setukpairinjR12 = $true) & (setadjoinE = $true) & (breln1invI = $true) & (descr__Cong = $true) & (subsetemptysetimpeq = $true) & (binintersectTERcontra = $true) & (breln1compEex = $true) & (woz2Ex = $true) & (setadjoinOr = $true) & (demorgan1b = $true) & (setunionsingleton = $true) & (emptysetimpfalse = $true) & (demorgan2b2 = $true) & (woz13rule3 = $true) & (app = $true) & (breln1unionI = $true) & (descrp = $true) & (complementSubsetComplementIntersect = $true) & (notequalI1 = $true) & (woz13rule2 = $true) & (eqbreln1 = $true) & (injFuncSetFuncIn = $true) & (ksndpairEq = $true) & (subset2powerset = $true) & (setminusIRneg = $true) & ? [X0] : (? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true)) & ($true = (ordinal @ X0))) & (complementTI1 = $true) & (powersetE1 = $true) & (setadjoinIR = $true) & (setadjoinIL = $true) & (demorgan2a = $true) & (bs114d = $true) & (nonemptyE1 = $true) & (brelnall2 = $true) & (lamp = $true) & (noeltsimpempty = $true) & (setunionE2 = $true) & (woz2B = $true) & (notinself2 = $true) & (kpairiskpair = $true) & (notequalI2 = $true) & (breln1unionCommutes = $true) & (powerset__Cong = $true) & (injFuncInInjFuncSet = $true) & (subsetE = $true) & (eqinunit = $true) & (setukpairinjL = $true) & (dsetconstrI = $true) & (binunionTEcontra = $true) & (inComplementUnionImpNotIn1 = $true) & (image1Ex = $true) & (cartprodfstpairEq = $true) & (setunionTransitive = $true) & (transitivesetOp1 = $true) & (setadjoin__Cong = $true) & (powersetI = $true) & (doubleComplementE1 = $true) & (binintTransitive = $true) & (setukpairinjR11 = $true) & (inIntersectImpInUnion2 = $true) & (setminusI = $true) & (binintersectLsub = $true) & (woz1_1 = $true) & (ex1E2 = $true) & (surjCantorThm = $true) & (kfstpairEq = $true) & (eta2 = $true) & (inIntersectImpInIntersectUnions = $true) & (apProp = $true) & (image1I = $true) & (transitivesetOp2 = $true) & (upairsetIL = $true) & (emptyinPowerset = $true) & (setunionE = $true) & (exuE3e = $true) & (ordinalTransSet = $true) & (prop2setE = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (setadjoinSub2 = $true) & (setextT = $true) & (breln1unionE = $true) & (dsetconstrER = $true) & (setunionsingleton1 = $true) & (inComplementUnionImpInComplement1 = $true) & (binintersectI = $true) & (doubleComplementSub2 = $true) & (setukpairinjR1 = $true) & (uniqinunit = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (sepInPowerset = $true) & (lamProp = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (lam2lamEq = $true) & (powersetAx = $true) & (setextsub = $true) & (powersetT_lem = $true) & (woz13rule0 = $true) & (exuE2 = $true) & (notsubsetI = $true) & (breln1unionprop = $true) & (powersetTE1 = $true) & (notinsingleton = $true) & (omegaSAx = $true) & (setunionsingleton2 = $true) & (funcGraphProp2 = $true) & (woz1_5 = $true) & (notdexE = $true) & (funcextLem = $true) & (complementTE1 = $true) & (demorgan1a = $true)),
% 3.15/0.89 inference(flattening,[],[f1237])).
% 3.15/0.89 thf(f1237,plain,(
% 3.15/0.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true)) & ($true = (ordinal @ X0))) & (ordinalTransSet = $true)) & (ordinalMinLem1 = $true)) & (setunionTransitive = $true)) & (transitivesetOp2 = $true)) & (binintTransitive = $true)) & (transitivesetOp1 = $true)) & (peanoSinj = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (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)),
% 3.15/0.89 inference(ennf_transformation,[],[f629])).
% 3.15/0.89 thf(f629,plain,(
% 3.15/0.89 ~((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) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ((binintTransitive = $true) => ((transitivesetOp2 = $true) => ((setunionTransitive = $true) => ((ordinalMinLem1 = $true) => ((ordinalTransSet = $true) => ! [X0] : (($true = (ordinal @ X0)) => ! [X1] : (((in @ X1 @ X0) = $true) => ((subset @ X1 @ X0) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.15/0.89 inference(fool_elimination,[],[f628])).
% 3.15/0.89 thf(f628,plain,(
% 3.15/0.89 ~(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 => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => ! [X0] : ((ordinal @ X0) => ! [X1] : ((in @ X1 @ X0) => (subset @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.15/0.89 inference(rectify,[],[f342])).
% 3.15/0.89 thf(f342,negated_conjecture,(
% 3.15/0.89 ~(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 => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => (subset @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.15/0.89 inference(negated_conjecture,[],[f341])).
% 3.15/0.89 thf(f341,conjecture,(
% 3.15/0.89 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 => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => (subset @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.15/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransSet1)).
% 3.15/0.89 thf(f8593,plain,(
% 3.15/0.89 ($true != (transitiveset @ sK251))),
% 3.15/0.89 inference(subsumption_resolution,[],[f8590,f3855])).
% 3.15/0.89 thf(f3855,plain,(
% 3.15/0.89 ($true = (in @ sK252 @ sK251))),
% 3.15/0.89 inference(cnf_transformation,[],[f1906])).
% 3.15/0.89 thf(f8590,plain,(
% 3.15/0.89 ($true != (in @ sK252 @ sK251)) | ($true != (transitiveset @ sK251))),
% 3.15/0.89 inference(trivial_inequality_removal,[],[f8585])).
% 3.15/0.89 thf(f8585,plain,(
% 3.15/0.89 ($true != (in @ sK252 @ sK251)) | ($true != $true) | ($true != (transitiveset @ sK251))),
% 3.15/0.89 inference(superposition,[],[f3856,f6952])).
% 3.15/0.89 thf(f6952,plain,(
% 3.15/0.89 ( ! [X2 : $i,X3 : $i] : (($true = (subset @ X3 @ X2)) | ((in @ X3 @ X2) != $true) | ($true != (transitiveset @ X2))) )),
% 3.15/0.89 inference(trivial_inequality_removal,[],[f6196])).
% 3.15/0.89 thf(f6196,plain,(
% 3.15/0.89 ( ! [X2 : $i,X3 : $i] : (($true != (transitiveset @ X2)) | ((in @ X3 @ X2) != $true) | ($true != $true) | ($true = (subset @ X3 @ X2))) )),
% 3.15/0.89 inference(definition_unfolding,[],[f4765,f3826])).
% 3.15/0.89 thf(f3826,plain,(
% 3.15/0.89 (transitivesetOp1 = $true)),
% 3.15/0.89 inference(cnf_transformation,[],[f1906])).
% 3.15/0.89 thf(f4765,plain,(
% 3.15/0.89 ( ! [X2 : $i,X3 : $i] : (($true != (transitiveset @ X2)) | ($true = (subset @ X3 @ X2)) | ((in @ X3 @ X2) != $true) | (transitivesetOp1 != $true)) )),
% 3.15/0.89 inference(cnf_transformation,[],[f2656])).
% 3.15/0.89 thf(f2656,plain,(
% 3.15/0.89 ((transitivesetOp1 = $true) | (($true = (transitiveset @ sK673)) & (($true != (subset @ sK674 @ sK673)) & ($true = (in @ sK674 @ sK673))))) & (! [X2] : (($true != (transitiveset @ X2)) | ! [X3] : (($true = (subset @ X3 @ X2)) | ((in @ X3 @ X2) != $true))) | (transitivesetOp1 != $true))),
% 3.15/0.89 inference(skolemisation,[status(esa),new_symbols(skolem,[sK673,sK674])],[f2653,f2655,f2654])).
% 3.15/0.89 thf(f2654,plain,(
% 3.15/0.89 ? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true))) => (($true = (transitiveset @ sK673)) & ? [X1] : (($true != (subset @ X1 @ sK673)) & ((in @ X1 @ sK673) = $true)))),
% 3.15/0.89 introduced(choice_axiom,[])).
% 3.15/0.89 thf(f2655,plain,(
% 3.15/0.89 ? [X1] : (($true != (subset @ X1 @ sK673)) & ((in @ X1 @ sK673) = $true)) => (($true != (subset @ sK674 @ sK673)) & ($true = (in @ sK674 @ sK673)))),
% 3.15/0.89 introduced(choice_axiom,[])).
% 3.15/0.89 thf(f2653,plain,(
% 3.15/0.89 ((transitivesetOp1 = $true) | ? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true)))) & (! [X2] : (($true != (transitiveset @ X2)) | ! [X3] : (($true = (subset @ X3 @ X2)) | ((in @ X3 @ X2) != $true))) | (transitivesetOp1 != $true))),
% 3.15/0.89 inference(rectify,[],[f2652])).
% 3.15/0.89 thf(f2652,plain,(
% 3.15/0.89 ((transitivesetOp1 = $true) | ? [X0] : (($true = (transitiveset @ X0)) & ? [X1] : (((subset @ X1 @ X0) != $true) & ((in @ X1 @ X0) = $true)))) & (! [X0] : (($true != (transitiveset @ X0)) | ! [X1] : (((subset @ X1 @ X0) = $true) | ((in @ X1 @ X0) != $true))) | (transitivesetOp1 != $true))),
% 3.15/0.89 inference(nnf_transformation,[],[f1224])).
% 3.15/0.89 thf(f1224,plain,(
% 3.15/0.89 (transitivesetOp1 = $true) <=> ! [X0] : (($true != (transitiveset @ X0)) | ! [X1] : (((subset @ X1 @ X0) = $true) | ((in @ X1 @ X0) != $true)))),
% 3.15/0.89 inference(ennf_transformation,[],[f934])).
% 3.15/0.89 thf(f934,plain,(
% 3.15/0.89 (transitivesetOp1 = $true) <=> ! [X0] : (($true = (transitiveset @ X0)) => ! [X1] : (((in @ X1 @ X0) = $true) => ((subset @ X1 @ X0) = $true)))),
% 3.15/0.89 inference(fool_elimination,[],[f933])).
% 3.15/0.89 thf(f933,plain,(
% 3.15/0.89 (transitivesetOp1 = ! [X0] : ((transitiveset @ X0) => ! [X1] : ((in @ X1 @ X0) => (subset @ X1 @ X0))))),
% 3.15/0.89 inference(rectify,[],[f332])).
% 3.15/0.89 thf(f332,axiom,(
% 3.15/0.89 (transitivesetOp1 = ! [X11] : ((transitiveset @ X11) => ! [X3] : ((in @ X3 @ X11) => (subset @ X3 @ X11))))),
% 3.15/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp1)).
% 3.15/0.89 thf(f3856,plain,(
% 3.15/0.89 ($true != (subset @ sK252 @ sK251))),
% 3.15/0.89 inference(cnf_transformation,[],[f1906])).
% 3.15/0.89 % SZS output end Proof for theBenchmark
% 3.15/0.89 % (29137)------------------------------
% 3.15/0.89 % (29137)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.15/0.89 % (29137)Termination reason: Refutation
% 3.15/0.89
% 3.15/0.89 % (29137)Memory used [KB]: 12153
% 3.15/0.89 % (29137)Time elapsed: 0.148 s
% 3.15/0.89 % (29137)Instructions burned: 430 (million)
% 3.15/0.89 % (29137)------------------------------
% 3.15/0.89 % (29137)------------------------------
% 3.15/0.89 % (28931)Success in time 0.547 s
%------------------------------------------------------------------------------