TSTP Solution File: SEU575^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU575^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 15:41:23 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU575^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 16:51:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (12908)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)
% 0.12/0.38 % (12910)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (12909)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)
% 0.12/0.38 % (12911)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)
% 0.12/0.38 % (12907)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (12912)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)
% 0.12/0.38 % (12913)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (12910)Instruction limit reached!
% 0.12/0.38 % (12910)------------------------------
% 0.12/0.38 % (12910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (12910)Termination reason: Unknown
% 0.12/0.38 % (12911)Instruction limit reached!
% 0.12/0.38 % (12911)------------------------------
% 0.12/0.38 % (12911)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (12910)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (12910)Memory used [KB]: 1151
% 0.12/0.38 % (12910)Time elapsed: 0.004 s
% 0.12/0.38 % (12910)Instructions burned: 3 (million)
% 0.12/0.38 % (12910)------------------------------
% 0.12/0.38 % (12910)------------------------------
% 0.12/0.38 % (12911)Termination reason: Unknown
% 0.12/0.38 % (12911)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (12911)Memory used [KB]: 1151
% 0.12/0.38 % (12911)Time elapsed: 0.004 s
% 0.12/0.38 % (12911)Instructions burned: 3 (million)
% 0.12/0.38 % (12911)------------------------------
% 0.12/0.38 % (12911)------------------------------
% 0.12/0.38 % (12908)Instruction limit reached!
% 0.12/0.38 % (12908)------------------------------
% 0.12/0.38 % (12908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (12908)Termination reason: Unknown
% 0.12/0.38 % (12908)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (12908)Memory used [KB]: 1279
% 0.12/0.38 % (12908)Time elapsed: 0.005 s
% 0.12/0.38 % (12908)Instructions burned: 5 (million)
% 0.12/0.38 % (12908)------------------------------
% 0.12/0.38 % (12908)------------------------------
% 0.12/0.39 % (12913)Instruction limit reached!
% 0.12/0.39 % (12913)------------------------------
% 0.12/0.39 % (12913)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (12913)Termination reason: Unknown
% 0.12/0.39 % (12913)Termination phase: Preprocessing 3
% 0.12/0.39
% 0.12/0.39 % (12913)Memory used [KB]: 1663
% 0.12/0.39 % (12913)Time elapsed: 0.014 s
% 0.12/0.39 % (12913)Instructions burned: 19 (million)
% 0.12/0.39 % (12913)------------------------------
% 0.12/0.39 % (12913)------------------------------
% 0.12/0.39 % (12909)Instruction limit reached!
% 0.12/0.39 % (12909)------------------------------
% 0.12/0.39 % (12909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (12909)Termination reason: Unknown
% 0.12/0.39 % (12909)Termination phase: Property scanning
% 0.12/0.39
% 0.12/0.39 % (12909)Memory used [KB]: 1407
% 0.12/0.39 % (12909)Time elapsed: 0.016 s
% 0.12/0.39 % (12909)Instructions burned: 27 (million)
% 0.12/0.39 % (12909)------------------------------
% 0.12/0.39 % (12909)------------------------------
% 0.12/0.40 % (12914)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)
% 0.12/0.40 % (12915)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)
% 0.12/0.40 % (12916)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)
% 0.12/0.40 % (12914)Instruction limit reached!
% 0.12/0.40 % (12914)------------------------------
% 0.12/0.40 % (12914)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (12914)Termination reason: Unknown
% 0.12/0.40 % (12914)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (12914)Memory used [KB]: 1151
% 0.12/0.40 % (12914)Time elapsed: 0.004 s
% 0.12/0.40 % (12914)Instructions burned: 4 (million)
% 0.12/0.40 % (12914)------------------------------
% 0.12/0.40 % (12914)------------------------------
% 0.21/0.41 % (12917)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)
% 0.21/0.41 % (12916)Instruction limit reached!
% 0.21/0.41 % (12916)------------------------------
% 0.21/0.41 % (12916)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (12916)Termination reason: Unknown
% 0.21/0.41 % (12916)Termination phase: Preprocessing 3
% 0.21/0.41
% 0.21/0.41 % (12916)Memory used [KB]: 1535
% 0.21/0.41 % (12916)Time elapsed: 0.011 s
% 0.21/0.41 % (12916)Instructions burned: 15 (million)
% 0.21/0.41 % (12916)------------------------------
% 0.21/0.41 % (12916)------------------------------
% 0.21/0.41 % (12918)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)
% 0.21/0.41 % (12917)Instruction limit reached!
% 0.21/0.41 % (12917)------------------------------
% 0.21/0.41 % (12917)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (12917)Termination reason: Unknown
% 0.21/0.41 % (12917)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (12917)Memory used [KB]: 1151
% 0.21/0.41 % (12917)Time elapsed: 0.004 s
% 0.21/0.41 % (12917)Instructions burned: 3 (million)
% 0.21/0.41 % (12917)------------------------------
% 0.21/0.41 % (12917)------------------------------
% 0.21/0.42 % (12919)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (12915)Instruction limit reached!
% 0.21/0.42 % (12915)------------------------------
% 0.21/0.42 % (12915)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (12915)Termination reason: Unknown
% 0.21/0.42 % (12915)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (12915)Memory used [KB]: 1535
% 0.21/0.42 % (12915)Time elapsed: 0.020 s
% 0.21/0.42 % (12915)Instructions burned: 38 (million)
% 0.21/0.42 % (12915)------------------------------
% 0.21/0.42 % (12915)------------------------------
% 0.21/0.42 % (12919)Instruction limit reached!
% 0.21/0.42 % (12919)------------------------------
% 0.21/0.42 % (12919)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (12919)Termination reason: Unknown
% 0.21/0.42 % (12919)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (12919)Memory used [KB]: 1279
% 0.21/0.42 % (12919)Time elapsed: 0.006 s
% 0.21/0.42 % (12919)Instructions burned: 7 (million)
% 0.21/0.42 % (12919)------------------------------
% 0.21/0.42 % (12919)------------------------------
% 0.21/0.43 % (12920)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (12921)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)
% 0.21/0.43 % (12921)Instruction limit reached!
% 0.21/0.43 % (12921)------------------------------
% 0.21/0.43 % (12921)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (12921)Termination reason: Unknown
% 0.21/0.43 % (12921)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12921)Memory used [KB]: 1151
% 0.21/0.43 % (12921)Time elapsed: 0.004 s
% 0.21/0.43 % (12921)Instructions burned: 3 (million)
% 0.21/0.43 % (12921)------------------------------
% 0.21/0.43 % (12921)------------------------------
% 0.21/0.43 % (12922)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)
% 0.21/0.43 % (12920)Instruction limit reached!
% 0.21/0.43 % (12920)------------------------------
% 0.21/0.43 % (12920)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (12920)Termination reason: Unknown
% 0.21/0.43 % (12920)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (12920)Memory used [KB]: 1407
% 0.21/0.43 % (12920)Time elapsed: 0.011 s
% 0.21/0.43 % (12920)Instructions burned: 18 (million)
% 0.21/0.43 % (12920)------------------------------
% 0.21/0.43 % (12920)------------------------------
% 0.21/0.43 % (12922)Instruction limit reached!
% 0.21/0.43 % (12922)------------------------------
% 0.21/0.43 % (12922)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (12922)Termination reason: Unknown
% 0.21/0.43 % (12922)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12922)Memory used [KB]: 1151
% 0.21/0.43 % (12922)Time elapsed: 0.004 s
% 0.21/0.43 % (12922)Instructions burned: 3 (million)
% 0.21/0.43 % (12922)------------------------------
% 0.21/0.43 % (12922)------------------------------
% 0.21/0.44 % (12923)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)
% 0.21/0.44 % (12923)Instruction limit reached!
% 0.21/0.44 % (12923)------------------------------
% 0.21/0.44 % (12923)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (12923)Termination reason: Unknown
% 0.21/0.44 % (12923)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12923)Memory used [KB]: 1279
% 0.21/0.44 % (12923)Time elapsed: 0.006 s
% 0.21/0.44 % (12923)Instructions burned: 7 (million)
% 0.21/0.44 % (12923)------------------------------
% 0.21/0.44 % (12923)------------------------------
% 0.21/0.44 % (12924)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)
% 0.21/0.45 % (12924)Instruction limit reached!
% 0.21/0.45 % (12924)------------------------------
% 0.21/0.45 % (12924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (12924)Termination reason: Unknown
% 0.21/0.45 % (12924)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (12924)Memory used [KB]: 1151
% 0.21/0.45 % (12924)Time elapsed: 0.003 s
% 0.21/0.45 % (12924)Instructions burned: 4 (million)
% 0.21/0.45 % (12924)------------------------------
% 0.21/0.45 % (12924)------------------------------
% 0.21/0.45 % (12925)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (12926)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)
% 0.21/0.45 % (12925)Instruction limit reached!
% 0.21/0.45 % (12925)------------------------------
% 0.21/0.45 % (12925)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (12925)Termination reason: Unknown
% 0.21/0.45 % (12925)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (12925)Memory used [KB]: 1151
% 0.21/0.45 % (12925)Time elapsed: 0.004 s
% 0.21/0.45 % (12925)Instructions burned: 4 (million)
% 0.21/0.45 % (12925)------------------------------
% 0.21/0.45 % (12925)------------------------------
% 0.21/0.46 % (12927)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (12928)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (12926)Instruction limit reached!
% 0.21/0.46 % (12926)------------------------------
% 0.21/0.46 % (12926)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (12926)Termination reason: Unknown
% 0.21/0.46 % (12926)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (12926)Memory used [KB]: 1407
% 0.21/0.46 % (12926)Time elapsed: 0.012 s
% 0.21/0.46 % (12926)Instructions burned: 19 (million)
% 0.21/0.46 % (12926)------------------------------
% 0.21/0.46 % (12926)------------------------------
% 0.21/0.46 % (12928)Instruction limit reached!
% 0.21/0.46 % (12928)------------------------------
% 0.21/0.46 % (12928)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (12928)Termination reason: Unknown
% 0.21/0.46 % (12928)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (12928)Memory used [KB]: 1279
% 0.21/0.46 % (12928)Time elapsed: 0.004 s
% 0.21/0.46 % (12928)Instructions burned: 8 (million)
% 0.21/0.46 % (12928)------------------------------
% 0.21/0.46 % (12928)------------------------------
% 0.21/0.47 % (12929)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)
% 0.21/0.47 % (12931)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47 % (12931)Instruction limit reached!
% 0.21/0.47 % (12931)------------------------------
% 0.21/0.47 % (12931)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (12931)Termination reason: Unknown
% 0.21/0.47 % (12931)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (12931)Memory used [KB]: 1279
% 0.21/0.47 % (12931)Time elapsed: 0.004 s
% 0.21/0.47 % (12931)Instructions burned: 7 (million)
% 0.21/0.47 % (12931)------------------------------
% 0.21/0.47 % (12931)------------------------------
% 0.21/0.48 % (12930)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)
% 0.21/0.48 % (12932)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.48 % (12932)Instruction limit reached!
% 0.21/0.48 % (12932)------------------------------
% 0.21/0.48 % (12932)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (12932)Termination reason: Unknown
% 0.21/0.48 % (12932)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (12932)Memory used [KB]: 1279
% 0.21/0.48 % (12932)Time elapsed: 0.004 s
% 0.21/0.48 % (12932)Instructions burned: 7 (million)
% 0.21/0.48 % (12932)------------------------------
% 0.21/0.48 % (12932)------------------------------
% 0.21/0.48 % (12930)Instruction limit reached!
% 0.21/0.48 % (12930)------------------------------
% 0.21/0.48 % (12930)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (12930)Termination reason: Unknown
% 0.21/0.48 % (12930)Termination phase: SInE selection
% 0.21/0.48
% 0.21/0.48 % (12930)Memory used [KB]: 1407
% 0.21/0.48 % (12930)Time elapsed: 0.011 s
% 0.21/0.48 % (12930)Instructions burned: 23 (million)
% 0.21/0.48 % (12930)------------------------------
% 0.21/0.48 % (12930)------------------------------
% 0.21/0.49 % (12912)First to succeed.
% 0.21/0.49 % (12907)Instruction limit reached!
% 0.21/0.49 % (12907)------------------------------
% 0.21/0.49 % (12907)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (12907)Termination reason: Unknown
% 0.21/0.49 % (12907)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (12907)Memory used [KB]: 7036
% 0.21/0.49 % (12907)Time elapsed: 0.109 s
% 0.21/0.49 % (12907)Instructions burned: 183 (million)
% 0.21/0.49 % (12907)------------------------------
% 0.21/0.49 % (12907)------------------------------
% 0.21/0.49 % (12912)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% 0.21/0.49 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.49 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.49 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.49 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.49 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.49 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.49 thf(func_def_69, type, set2prop: $i > $o).
% 0.21/0.49 thf(func_def_88, type, subset: $i > $i > $o).
% 0.21/0.49 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.21/0.49 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.21/0.49 thf(func_def_119, type, sP0: $i > $i > $o).
% 0.21/0.49 thf(func_def_120, type, sP1: $i > $o).
% 0.21/0.49 thf(func_def_121, type, sP2: $i > $i > $o).
% 0.21/0.49 thf(func_def_122, type, sP3: $i > $i > $o).
% 0.21/0.49 thf(func_def_125, type, sK6: $i > $i > $i).
% 0.21/0.49 thf(func_def_138, type, sK19: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_139, type, sK20: $i > $o).
% 0.21/0.49 thf(func_def_143, type, sK24: $i > $i > $i).
% 0.21/0.49 thf(func_def_145, type, sK26: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.49 thf(func_def_146, type, sK27: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.49 thf(func_def_149, type, sK30: $i > $o).
% 0.21/0.49 thf(func_def_150, type, sK31: $i > $o).
% 0.21/0.49 thf(func_def_161, type, sK42: $i > $i).
% 0.21/0.49 thf(func_def_163, type, sK44: $i > $i).
% 0.21/0.49 thf(func_def_175, type, sK56: $i > $i).
% 0.21/0.49 thf(func_def_177, type, sK58: $i > $o).
% 0.21/0.49 thf(func_def_180, type, sK61: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_186, type, sK67: $i > $i > $i).
% 0.21/0.49 thf(func_def_189, type, sK70: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_190, type, sK71: $i > $o).
% 0.21/0.49 thf(func_def_192, type, sK73: $i > $i).
% 0.21/0.49 thf(func_def_196, type, sK77: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_197, type, sK78: $i > $o).
% 0.21/0.49 thf(func_def_200, type, sK81: ($i > $o) > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_201, type, sK82: ($i > $o) > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_202, type, sK83: $i > $o).
% 0.21/0.49 thf(func_def_203, type, sK84: $i > $o).
% 0.21/0.49 thf(func_def_208, type, sK89: $i > $o).
% 0.21/0.49 thf(func_def_212, type, sK93: $o > $i > $i > $i).
% 0.21/0.49 thf(func_def_213, type, sK94: $i > $o).
% 0.21/0.49 thf(func_def_216, type, sK97: $i > $o).
% 0.21/0.49 thf(func_def_219, type, sK100: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_221, type, sK102: $i > $o).
% 0.21/0.49 thf(func_def_222, type, sK103: $i > $o).
% 0.21/0.49 thf(func_def_223, type, sK104: ($i > $o) > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_224, type, sK105: ($i > $o) > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_233, type, sK114: $i > $i).
% 0.21/0.49 thf(func_def_234, type, sK115: $i > $i).
% 0.21/0.49 thf(func_def_241, type, sK122: $i > $o).
% 0.21/0.49 thf(func_def_242, type, sK123: $i > $i > $i).
% 0.21/0.49 thf(func_def_252, type, sK133: $i > $i > $i).
% 0.21/0.49 thf(func_def_261, type, sK142: $i > $o).
% 0.21/0.49 thf(func_def_262, type, sK143: $i > $i > $i).
% 0.21/0.49 thf(func_def_263, type, sK144: $i > $i > $i).
% 0.21/0.49 thf(func_def_266, type, sK147: $i > $i > $i).
% 0.21/0.49 thf(func_def_267, type, sK148: $i > $i > $i).
% 0.21/0.49 thf(func_def_268, type, sK149: $i > $i > $i).
% 0.21/0.49 thf(func_def_269, type, sK150: $i > $i > $i).
% 0.21/0.49 thf(func_def_270, type, sK151: $i > $i > $i).
% 0.21/0.49 thf(func_def_271, type, sK152: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_272, type, sK153: $i > $i).
% 0.21/0.49 thf(func_def_273, type, sK154: $i > $i).
% 0.21/0.49 thf(func_def_274, type, sK155: $i > $i).
% 0.21/0.49 thf(func_def_275, type, sK156: $i > $i).
% 0.21/0.49 thf(func_def_276, type, sK157: $i > $i > $i).
% 0.21/0.49 thf(func_def_277, type, sK158: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_278, type, sK159: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_279, type, sK160: $i > $i > $i).
% 0.21/0.49 thf(func_def_280, type, sK161: $i > $i > $i).
% 0.21/0.49 thf(func_def_282, type, sK163: $i > $i).
% 0.21/0.49 thf(func_def_283, type, sK164: $i > $i).
% 0.21/0.49 thf(func_def_284, type, sK165: $i > $i).
% 0.21/0.49 thf(func_def_285, type, sK166: $i > $i > $o).
% 0.21/0.49 thf(func_def_287, type, sK168: $i > $i).
% 0.21/0.49 thf(func_def_288, type, sK169: $i > $i).
% 0.21/0.49 thf(func_def_289, type, sK170: $i > ($i > $i > $o) > $i).
% 0.21/0.49 thf(func_def_290, type, sK171: $i > $i > ($i > $i > $o) > $i).
% 0.21/0.49 thf(func_def_291, type, sK172: $i > ($i > $i > $o) > $i).
% 0.21/0.49 thf(func_def_298, type, sK179: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_299, type, sK180: $i > $o).
% 0.21/0.49 thf(func_def_300, type, sK181: $i > $i).
% 0.21/0.49 thf(func_def_303, type, sK184: $i > $o).
% 0.21/0.49 thf(func_def_304, type, sK185: $i > $i).
% 0.21/0.49 thf(func_def_305, type, sK186: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_306, type, sK187: $i > $o).
% 0.21/0.49 thf(func_def_311, type, sK192: $i > $o).
% 0.21/0.49 thf(func_def_314, type, sK195: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_315, type, sK196: $i > $o).
% 0.21/0.49 thf(func_def_318, type, sK199: $i > $o).
% 0.21/0.49 thf(func_def_320, type, sK201: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_321, type, sK202: $i > $o).
% 0.21/0.49 thf(func_def_329, type, sK210: $i > $o).
% 0.21/0.49 thf(func_def_332, type, sK213: $i > $o).
% 0.21/0.49 thf(func_def_336, type, sK217: $i > $i > $i).
% 0.21/0.49 thf(func_def_341, type, sK222: $i > $o).
% 0.21/0.49 thf(func_def_344, type, sK225: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_349, type, sK230: $i > $o).
% 0.21/0.49 thf(func_def_351, type, sK232: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_352, type, sK233: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_357, type, sK238: $i > $o).
% 0.21/0.49 thf(func_def_359, type, sK240: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_361, type, sK242: $i > $i).
% 0.21/0.49 thf(func_def_373, type, sK254: $i > $o).
% 0.21/0.49 thf(func_def_378, type, ph259: !>[X0: $tType]:(X0)).
% 0.21/0.49 thf(f2321,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(subsumption_resolution,[],[f2320,f954])).
% 0.21/0.49 thf(f954,plain,(
% 0.21/0.49 (emptyset != sK54)),
% 0.21/0.49 inference(cnf_transformation,[],[f505])).
% 0.21/0.49 thf(f505,plain,(
% 0.21/0.49 (setadjoinSub2 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (setextsub = $true) & (notsubsetI = $true) & (upairsetE = $true) & (setadjoin__Cong = $true) & (setoftrueEq = $true) & (prop2setE = $true) & (exuEu = $true) & (replAx = $true) & (setext = $true) & (notdallE = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (exuI2 = $true) & (setadjoinAx = $true) & (setunionE = $true) & (exuE1 = $true) & (emptyE1 = $true) & (setadjoinSub = $true) & (inCongP = $true) & (setadjoinIL = $true) & (dsetconstr__Cong = $true) & (prop2setI = $true) & (noeltsimpempty = $true) & (omegaSAx = $true) & (singletonsswitch = $true) & (emptyInPowerset = $true) & (notequalI1 = $true) & (powersetE = $true) & (notinsingleton = $true) & (nonemptyI = $true) & (dsetconstrI = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (notequalI2 = $true) & (dsetconstrER = $true) & (emptysetimpfalse = $true) & (exuE2 = $true) & (exuE3e = $true) & (subsetE = $true) & (emptysetAx = $true) & (upairsetIL = $true) & (subsetI2 = $true) & (setunionAx = $true) & (descr__Cong = $true) & (setadjoinE = $true) & (quantDeMorgan2 = $true) & (subPowSU = $true) & (subset2powerset = $true) & (subsetI1 = $true) & (upairsetIR = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (eqimpsubset2 = $true) & (wellorderingAx = $true) & (dsetconstrEL = $true) & (exu__Cong = $true) & (setunionI = $true) & (nonemptyI1 = $true) & (notdexE = $true) & (omegaIndAx = $true) & (notinemptyset = $true) & (subsetE2 = $true) & (omega0Ax = $true) & ((emptyset != sK54) & ($true = (subset @ sK54 @ emptyset))) & (descrp = $true) & (nonemptyImpWitness = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (foundationAx = $true) & (powersetI = $true) & (emptyI = $true) & (setadjoinIR = $true) & (omega__Cong = $true) & (exuI3 = $true) & (emptyinunitempty = $true) & (subsetTrans = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (exuI1 = $true) & (subsetRefl = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (quantDeMorgan3 = $true) & (eqimpsubset1 = $true) & (prop2set2propI = $true) & (quantDeMorgan4 = $true) & (emptyset__Cong = $true) & (setextAx = $true)),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f307,f504])).
% 0.21/0.49 thf(f504,plain,(
% 0.21/0.49 ? [X0] : ((emptyset != X0) & ($true = (subset @ X0 @ emptyset))) => ((emptyset != sK54) & ($true = (subset @ sK54 @ emptyset)))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f307,plain,(
% 0.21/0.49 (setadjoinSub2 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (setextsub = $true) & (notsubsetI = $true) & (upairsetE = $true) & (setadjoin__Cong = $true) & (setoftrueEq = $true) & (prop2setE = $true) & (exuEu = $true) & (replAx = $true) & (setext = $true) & (notdallE = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (exuI2 = $true) & (setadjoinAx = $true) & (setunionE = $true) & (exuE1 = $true) & (emptyE1 = $true) & (setadjoinSub = $true) & (inCongP = $true) & (setadjoinIL = $true) & (dsetconstr__Cong = $true) & (prop2setI = $true) & (noeltsimpempty = $true) & (omegaSAx = $true) & (singletonsswitch = $true) & (emptyInPowerset = $true) & (notequalI1 = $true) & (powersetE = $true) & (notinsingleton = $true) & (nonemptyI = $true) & (dsetconstrI = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (notequalI2 = $true) & (dsetconstrER = $true) & (emptysetimpfalse = $true) & (exuE2 = $true) & (exuE3e = $true) & (subsetE = $true) & (emptysetAx = $true) & (upairsetIL = $true) & (subsetI2 = $true) & (setunionAx = $true) & (descr__Cong = $true) & (setadjoinE = $true) & (quantDeMorgan2 = $true) & (subPowSU = $true) & (subset2powerset = $true) & (subsetI1 = $true) & (upairsetIR = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (eqimpsubset2 = $true) & (wellorderingAx = $true) & (dsetconstrEL = $true) & (exu__Cong = $true) & (setunionI = $true) & (nonemptyI1 = $true) & (notdexE = $true) & (omegaIndAx = $true) & (notinemptyset = $true) & (subsetE2 = $true) & (omega0Ax = $true) & ? [X0] : ((emptyset != X0) & ($true = (subset @ X0 @ emptyset))) & (descrp = $true) & (nonemptyImpWitness = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (foundationAx = $true) & (powersetI = $true) & (emptyI = $true) & (setadjoinIR = $true) & (omega__Cong = $true) & (exuI3 = $true) & (emptyinunitempty = $true) & (subsetTrans = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (exuI1 = $true) & (subsetRefl = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (quantDeMorgan3 = $true) & (eqimpsubset1 = $true) & (prop2set2propI = $true) & (quantDeMorgan4 = $true) & (emptyset__Cong = $true) & (setextAx = $true)),
% 0.21/0.49 inference(flattening,[],[f306])).
% 0.21/0.49 thf(f306,plain,(
% 0.21/0.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : ((emptyset != X0) & ($true = (subset @ X0 @ emptyset))) & (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)),
% 0.21/0.49 inference(ennf_transformation,[],[f124])).
% 0.21/0.49 thf(f124,plain,(
% 0.21/0.49 ~((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 = $true) => ! [X0] : (($true = (subset @ X0 @ emptyset)) => (emptyset = X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f123])).
% 0.21/0.49 thf(f123,plain,(
% 0.21/0.49 ~(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 => ! [X0] : ((subset @ X0 @ emptyset) => (emptyset = X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(rectify,[],[f95])).
% 0.21/0.49 thf(f95,negated_conjecture,(
% 0.21/0.49 ~(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 => ! [X3] : ((subset @ X3 @ emptyset) => (emptyset = X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(negated_conjecture,[],[f94])).
% 0.21/0.49 thf(f94,conjecture,(
% 0.21/0.49 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 => ! [X3] : ((subset @ X3 @ emptyset) => (emptyset = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetemptysetimpeq)).
% 0.21/0.49 thf(f2320,plain,(
% 0.21/0.49 (emptyset = sK54)),
% 0.21/0.49 inference(subsumption_resolution,[],[f2318,f1751])).
% 0.21/0.49 thf(f1751,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (((subset @ emptyset @ X0) = $true)) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1458])).
% 0.21/0.49 thf(f1458,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (((subset @ emptyset @ X0) = $true) | ($true != $true)) )),
% 0.21/0.49 inference(definition_unfolding,[],[f1082,f1019])).
% 0.21/0.49 thf(f1019,plain,(
% 0.21/0.49 (emptysetsubset = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f505])).
% 0.21/0.49 thf(f1082,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (((subset @ emptyset @ X0) = $true) | (emptysetsubset != $true)) )),
% 0.21/0.49 inference(cnf_transformation,[],[f587])).
% 0.21/0.49 thf(f587,plain,(
% 0.21/0.49 (! [X0] : ((subset @ emptyset @ X0) = $true) | (emptysetsubset != $true)) & ((emptysetsubset = $true) | ($true != (subset @ emptyset @ sK101)))),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK101])],[f585,f586])).
% 0.21/0.49 thf(f586,plain,(
% 0.21/0.49 ? [X1] : ((subset @ emptyset @ X1) != $true) => ($true != (subset @ emptyset @ sK101))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f585,plain,(
% 0.21/0.49 (! [X0] : ((subset @ emptyset @ X0) = $true) | (emptysetsubset != $true)) & ((emptysetsubset = $true) | ? [X1] : ((subset @ emptyset @ X1) != $true))),
% 0.21/0.49 inference(rectify,[],[f584])).
% 0.21/0.49 thf(f584,plain,(
% 0.21/0.49 (! [X0] : ((subset @ emptyset @ X0) = $true) | (emptysetsubset != $true)) & ((emptysetsubset = $true) | ? [X0] : ((subset @ emptyset @ X0) != $true))),
% 0.21/0.49 inference(nnf_transformation,[],[f190])).
% 0.21/0.49 thf(f190,plain,(
% 0.21/0.49 ! [X0] : ((subset @ emptyset @ X0) = $true) <=> (emptysetsubset = $true)),
% 0.21/0.49 inference(fool_elimination,[],[f189])).
% 0.21/0.49 thf(f189,plain,(
% 0.21/0.49 (! [X0] : (subset @ emptyset @ X0) = emptysetsubset)),
% 0.21/0.49 inference(rectify,[],[f82])).
% 0.21/0.49 thf(f82,axiom,(
% 0.21/0.49 (! [X3] : (subset @ emptyset @ X3) = emptysetsubset)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetsubset)).
% 0.21/0.49 thf(f2318,plain,(
% 0.21/0.49 ($true != (subset @ emptyset @ sK54)) | (emptyset = sK54)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f2300])).
% 0.21/0.49 thf(f2300,plain,(
% 0.21/0.49 ($true != $true) | ($true != (subset @ emptyset @ sK54)) | (emptyset = sK54)),
% 0.21/0.49 inference(superposition,[],[f1842,f953])).
% 0.21/0.49 thf(f953,plain,(
% 0.21/0.49 ($true = (subset @ sK54 @ emptyset))),
% 0.21/0.49 inference(cnf_transformation,[],[f505])).
% 0.21/0.49 thf(f1842,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i] : (($true != (subset @ X3 @ X2)) | ($true != (subset @ X2 @ X3)) | (X2 = X3)) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1429])).
% 0.21/0.49 thf(f1429,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i] : (($true != $true) | ($true != (subset @ X2 @ X3)) | ($true != (subset @ X3 @ X2)) | (X2 = X3)) )),
% 0.21/0.49 inference(definition_unfolding,[],[f1049,f1017])).
% 0.21/0.49 thf(f1017,plain,(
% 0.21/0.49 (setextsub = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f505])).
% 0.21/0.49 thf(f1049,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i] : ((X2 = X3) | ($true != (subset @ X3 @ X2)) | ($true != (subset @ X2 @ X3)) | (setextsub != $true)) )),
% 0.21/0.49 inference(cnf_transformation,[],[f548])).
% 0.21/0.49 thf(f548,plain,(
% 0.21/0.49 ((setextsub = $true) | ((sK76 != sK75) & ($true = (subset @ sK76 @ sK75)) & ($true = (subset @ sK75 @ sK76)))) & (! [X2,X3] : ((X2 = X3) | ($true != (subset @ X3 @ X2)) | ($true != (subset @ X2 @ X3))) | (setextsub != $true))),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f546,f547])).
% 0.21/0.49 thf(f547,plain,(
% 0.21/0.49 ? [X0,X1] : ((X0 != X1) & ($true = (subset @ X1 @ X0)) & ($true = (subset @ X0 @ X1))) => ((sK76 != sK75) & ($true = (subset @ sK76 @ sK75)) & ($true = (subset @ sK75 @ sK76)))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f546,plain,(
% 0.21/0.49 ((setextsub = $true) | ? [X0,X1] : ((X0 != X1) & ($true = (subset @ X1 @ X0)) & ($true = (subset @ X0 @ X1)))) & (! [X2,X3] : ((X2 = X3) | ($true != (subset @ X3 @ X2)) | ($true != (subset @ X2 @ X3))) | (setextsub != $true))),
% 0.21/0.49 inference(rectify,[],[f545])).
% 0.21/0.49 thf(f545,plain,(
% 0.21/0.49 ((setextsub = $true) | ? [X0,X1] : ((X0 != X1) & ($true = (subset @ X1 @ X0)) & ($true = (subset @ X0 @ X1)))) & (! [X0,X1] : ((X0 = X1) | ($true != (subset @ X1 @ X0)) | ($true != (subset @ X0 @ X1))) | (setextsub != $true))),
% 0.21/0.49 inference(nnf_transformation,[],[f370])).
% 0.21/0.49 thf(f370,plain,(
% 0.21/0.49 (setextsub = $true) <=> ! [X0,X1] : ((X0 = X1) | ($true != (subset @ X1 @ X0)) | ($true != (subset @ X0 @ X1)))),
% 0.21/0.49 inference(flattening,[],[f369])).
% 0.21/0.49 thf(f369,plain,(
% 0.21/0.49 (setextsub = $true) <=> ! [X0,X1] : (((X0 = X1) | ($true != (subset @ X0 @ X1))) | ($true != (subset @ X1 @ X0)))),
% 0.21/0.49 inference(ennf_transformation,[],[f220])).
% 0.21/0.49 thf(f220,plain,(
% 0.21/0.49 (setextsub = $true) <=> ! [X0,X1] : (($true = (subset @ X1 @ X0)) => (($true = (subset @ X0 @ X1)) => (X0 = X1)))),
% 0.21/0.49 inference(fool_elimination,[],[f219])).
% 0.21/0.49 thf(f219,plain,(
% 0.21/0.49 (setextsub = ! [X0,X1] : ((subset @ X1 @ X0) => ((subset @ X0 @ X1) => (X0 = X1))))),
% 0.21/0.49 inference(rectify,[],[f93])).
% 0.21/0.49 thf(f93,axiom,(
% 0.21/0.49 (setextsub = ! [X4,X3] : ((subset @ X3 @ X4) => ((subset @ X4 @ X3) => (X3 = X4))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub)).
% 0.21/0.49 % SZS output end Proof for theBenchmark
% 0.21/0.49 % (12912)------------------------------
% 0.21/0.49 % (12912)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (12912)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (12912)Memory used [KB]: 7419
% 0.21/0.49 % (12912)Time elapsed: 0.109 s
% 0.21/0.49 % (12912)Instructions burned: 193 (million)
% 0.21/0.49 % (12912)------------------------------
% 0.21/0.49 % (12912)------------------------------
% 0.21/0.49 % (12906)Success in time 0.132 s
%------------------------------------------------------------------------------