TSTP Solution File: SEU522^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU522^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.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 15:41:00 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU522^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n023.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 10:47:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 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
% 0.20/0.37 % (9596)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (9593)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (9592)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)
% 0.20/0.37 % (9591)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)
% 0.20/0.37 % (9595)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)
% 0.20/0.37 % (9594)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)
% 0.20/0.37 % (9590)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (9593)Instruction limit reached!
% 0.20/0.37 % (9593)------------------------------
% 0.20/0.37 % (9593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (9593)Termination reason: Unknown
% 0.20/0.37 % (9594)Instruction limit reached!
% 0.20/0.37 % (9594)------------------------------
% 0.20/0.37 % (9594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (9593)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (9593)Memory used [KB]: 1023
% 0.20/0.37 % (9593)Time elapsed: 0.004 s
% 0.20/0.37 % (9593)Instructions burned: 3 (million)
% 0.20/0.37 % (9593)------------------------------
% 0.20/0.37 % (9593)------------------------------
% 0.20/0.37 % (9594)Termination reason: Unknown
% 0.20/0.37 % (9594)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (9594)Memory used [KB]: 1023
% 0.20/0.37 % (9594)Time elapsed: 0.004 s
% 0.20/0.37 % (9594)Instructions burned: 3 (million)
% 0.20/0.37 % (9594)------------------------------
% 0.20/0.37 % (9594)------------------------------
% 0.20/0.38 % (9591)Instruction limit reached!
% 0.20/0.38 % (9591)------------------------------
% 0.20/0.38 % (9591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (9591)Termination reason: Unknown
% 0.20/0.38 % (9591)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (9591)Memory used [KB]: 1151
% 0.20/0.38 % (9591)Time elapsed: 0.004 s
% 0.20/0.38 % (9591)Instructions burned: 4 (million)
% 0.20/0.38 % (9591)------------------------------
% 0.20/0.38 % (9591)------------------------------
% 0.20/0.38 % (9596)Instruction limit reached!
% 0.20/0.38 % (9596)------------------------------
% 0.20/0.38 % (9596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (9596)Termination reason: Unknown
% 0.20/0.38 % (9596)Termination phase: Property scanning
% 0.20/0.38
% 0.20/0.38 % (9596)Memory used [KB]: 1535
% 0.20/0.38 % (9596)Time elapsed: 0.013 s
% 0.20/0.38 % (9596)Instructions burned: 19 (million)
% 0.20/0.38 % (9596)------------------------------
% 0.20/0.38 % (9596)------------------------------
% 0.20/0.39 % (9592)Instruction limit reached!
% 0.20/0.39 % (9592)------------------------------
% 0.20/0.39 % (9592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (9592)Termination reason: Unknown
% 0.20/0.39 % (9592)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (9592)Memory used [KB]: 5756
% 0.20/0.39 % (9592)Time elapsed: 0.017 s
% 0.20/0.39 % (9592)Instructions burned: 27 (million)
% 0.20/0.39 % (9592)------------------------------
% 0.20/0.39 % (9592)------------------------------
% 0.20/0.39 % (9597)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)
% 0.20/0.39 % (9598)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)
% 0.20/0.39 % (9597)Instruction limit reached!
% 0.20/0.39 % (9597)------------------------------
% 0.20/0.39 % (9597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (9597)Termination reason: Unknown
% 0.20/0.39 % (9597)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (9597)Memory used [KB]: 1151
% 0.20/0.39 % (9597)Time elapsed: 0.004 s
% 0.20/0.39 % (9597)Instructions burned: 4 (million)
% 0.20/0.39 % (9597)------------------------------
% 0.20/0.39 % (9597)------------------------------
% 0.20/0.40 % (9600)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)
% 0.20/0.40 % (9600)Instruction limit reached!
% 0.20/0.40 % (9600)------------------------------
% 0.20/0.40 % (9600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (9600)Termination reason: Unknown
% 0.20/0.40 % (9600)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (9600)Memory used [KB]: 1151
% 0.20/0.40 % (9600)Time elapsed: 0.004 s
% 0.20/0.40 % (9600)Instructions burned: 4 (million)
% 0.20/0.40 % (9600)------------------------------
% 0.20/0.40 % (9600)------------------------------
% 0.20/0.40 % (9601)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)
% 0.20/0.41 % (9602)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (9598)Instruction limit reached!
% 0.20/0.41 % (9598)------------------------------
% 0.20/0.41 % (9598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (9598)Termination reason: Unknown
% 0.20/0.41 % (9598)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (9598)Memory used [KB]: 6012
% 0.20/0.41 % (9598)Time elapsed: 0.021 s
% 0.20/0.41 % (9598)Instructions burned: 38 (million)
% 0.20/0.41 % (9598)------------------------------
% 0.20/0.41 % (9598)------------------------------
% 0.20/0.41 % (9602)Instruction limit reached!
% 0.20/0.41 % (9602)------------------------------
% 0.20/0.41 % (9602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (9602)Termination reason: Unknown
% 0.20/0.41 % (9602)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (9602)Memory used [KB]: 1151
% 0.20/0.41 % (9602)Time elapsed: 0.006 s
% 0.20/0.41 % (9602)Instructions burned: 7 (million)
% 0.20/0.41 % (9602)------------------------------
% 0.20/0.41 % (9602)------------------------------
% 0.20/0.42 % (9599)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)
% 0.20/0.42 % (9603)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.43 % (9603)Instruction limit reached!
% 0.20/0.43 % (9603)------------------------------
% 0.20/0.43 % (9603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (9603)Termination reason: Unknown
% 0.20/0.43 % (9603)Termination phase: Twee Goal Transformation
% 0.20/0.43
% 0.20/0.43 % (9603)Memory used [KB]: 1279
% 0.20/0.43 % (9603)Time elapsed: 0.010 s
% 0.20/0.43 % (9603)Instructions burned: 16 (million)
% 0.20/0.43 % (9603)------------------------------
% 0.20/0.43 % (9603)------------------------------
% 0.20/0.43 % (9604)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)
% 0.20/0.43 % (9599)Instruction limit reached!
% 0.20/0.43 % (9599)------------------------------
% 0.20/0.43 % (9599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (9599)Termination reason: Unknown
% 0.20/0.43 % (9599)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (9599)Memory used [KB]: 1535
% 0.20/0.43 % (9599)Time elapsed: 0.012 s
% 0.20/0.43 % (9599)Instructions burned: 16 (million)
% 0.20/0.43 % (9599)------------------------------
% 0.20/0.43 % (9599)------------------------------
% 0.20/0.43 % (9604)Instruction limit reached!
% 0.20/0.43 % (9604)------------------------------
% 0.20/0.43 % (9604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (9604)Termination reason: Unknown
% 0.20/0.43 % (9604)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (9604)Memory used [KB]: 1151
% 0.20/0.43 % (9604)Time elapsed: 0.004 s
% 0.20/0.43 % (9604)Instructions burned: 4 (million)
% 0.20/0.43 % (9604)------------------------------
% 0.20/0.43 % (9604)------------------------------
% 0.20/0.43 % (9605)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)
% 0.20/0.43 % (9605)Instruction limit reached!
% 0.20/0.43 % (9605)------------------------------
% 0.20/0.43 % (9605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (9605)Termination reason: Unknown
% 0.20/0.43 % (9605)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (9605)Memory used [KB]: 1151
% 0.20/0.43 % (9605)Time elapsed: 0.004 s
% 0.20/0.43 % (9605)Instructions burned: 4 (million)
% 0.20/0.43 % (9605)------------------------------
% 0.20/0.43 % (9605)------------------------------
% 0.20/0.44 % (9606)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)
% 0.20/0.44 % (9607)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)
% 0.20/0.44 % (9608)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.44 % (9607)Instruction limit reached!
% 0.20/0.44 % (9607)------------------------------
% 0.20/0.44 % (9607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (9607)Termination reason: Unknown
% 0.20/0.44 % (9607)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (9607)Memory used [KB]: 1151
% 0.20/0.44 % (9607)Time elapsed: 0.004 s
% 0.20/0.44 % (9607)Instructions burned: 4 (million)
% 0.20/0.44 % (9607)------------------------------
% 0.20/0.44 % (9607)------------------------------
% 0.20/0.44 % (9606)Instruction limit reached!
% 0.20/0.44 % (9606)------------------------------
% 0.20/0.44 % (9606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (9606)Termination reason: Unknown
% 0.20/0.44 % (9606)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (9606)Memory used [KB]: 1151
% 0.20/0.44 % (9606)Time elapsed: 0.006 s
% 0.20/0.44 % (9606)Instructions burned: 8 (million)
% 0.20/0.44 % (9606)------------------------------
% 0.20/0.44 % (9606)------------------------------
% 0.20/0.44 % (9608)Instruction limit reached!
% 0.20/0.44 % (9608)------------------------------
% 0.20/0.44 % (9608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (9608)Termination reason: Unknown
% 0.20/0.45 % (9608)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (9608)Memory used [KB]: 1151
% 0.20/0.45 % (9608)Time elapsed: 0.004 s
% 0.20/0.45 % (9608)Instructions burned: 4 (million)
% 0.20/0.45 % (9608)------------------------------
% 0.20/0.45 % (9608)------------------------------
% 0.20/0.45 % (9609)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)
% 0.20/0.46 % (9609)Instruction limit reached!
% 0.20/0.46 % (9609)------------------------------
% 0.20/0.46 % (9609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (9609)Termination reason: Unknown
% 0.20/0.46 % (9609)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (9609)Memory used [KB]: 5756
% 0.20/0.46 % (9609)Time elapsed: 0.012 s
% 0.20/0.46 % (9609)Instructions burned: 18 (million)
% 0.20/0.46 % (9609)------------------------------
% 0.20/0.46 % (9609)------------------------------
% 0.20/0.46 % (9611)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.46 % (9612)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)
% 0.20/0.46 % (9610)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.46 % (9611)Instruction limit reached!
% 0.20/0.46 % (9611)------------------------------
% 0.20/0.46 % (9611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (9611)Termination reason: Unknown
% 0.20/0.46 % (9611)Termination phase: Property scanning
% 0.20/0.46
% 0.20/0.46 % (9611)Memory used [KB]: 1151
% 0.20/0.46 % (9611)Time elapsed: 0.005 s
% 0.20/0.46 % (9611)Instructions burned: 7 (million)
% 0.20/0.46 % (9611)------------------------------
% 0.20/0.46 % (9611)------------------------------
% 0.20/0.47 % (9613)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)
% 0.20/0.47 % (9614)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.48 % (9614)Instruction limit reached!
% 0.20/0.48 % (9614)------------------------------
% 0.20/0.48 % (9614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (9614)Termination reason: Unknown
% 0.20/0.48 % (9614)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (9614)Memory used [KB]: 1151
% 0.20/0.48 % (9614)Time elapsed: 0.003 s
% 0.20/0.48 % (9614)Instructions burned: 6 (million)
% 0.20/0.48 % (9614)------------------------------
% 0.20/0.48 % (9614)------------------------------
% 0.20/0.48 % (9612)First to succeed.
% 0.20/0.48 % (9612)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% 0.20/0.48 thf(func_def_0, type, in: $i > $i > $o).
% 0.20/0.48 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.20/0.48 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.20/0.48 thf(func_def_8, type, powerset: $i > $i).
% 0.20/0.48 thf(func_def_10, type, setunion: $i > $i).
% 0.20/0.48 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.48 thf(func_def_26, type, prop2set: $o > $i).
% 0.20/0.48 thf(func_def_36, type, nonempty: $i > $o).
% 0.20/0.48 thf(func_def_63, type, sP1: $i > $i > $o).
% 0.20/0.48 thf(func_def_64, type, sP2: $i > $o).
% 0.20/0.48 thf(func_def_65, type, sP3: $i > $i > $o).
% 0.20/0.48 thf(func_def_66, type, sP4: $i > $i > $o).
% 0.20/0.48 thf(func_def_70, type, sK8: $i > $i > $i).
% 0.20/0.48 thf(func_def_74, type, sK12: $i > $i).
% 0.20/0.48 thf(func_def_76, type, sK14: $i > $i > $i).
% 0.20/0.48 thf(func_def_88, type, sK26: $i > $i > $o).
% 0.20/0.48 thf(func_def_89, type, sK27: $i > $i).
% 0.20/0.48 thf(func_def_90, type, sK28: $i > $i).
% 0.20/0.48 thf(func_def_91, type, sK29: ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_92, type, sK30: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_93, type, sK31: ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_97, type, sK35: $i > $i).
% 0.20/0.48 thf(func_def_101, type, sK39: $i > $i).
% 0.20/0.48 thf(func_def_104, type, sK42: $i > $i > $i).
% 0.20/0.48 thf(func_def_105, type, sK43: $i > $i > $i).
% 0.20/0.48 thf(func_def_106, type, sK44: $i > $o).
% 0.20/0.48 thf(func_def_113, type, sK51: $i > $o).
% 0.20/0.48 thf(func_def_114, type, sK52: $i > $i).
% 0.20/0.48 thf(func_def_116, type, sK54: $i > $i).
% 0.20/0.48 thf(func_def_126, type, sK64: $i > $o).
% 0.20/0.48 thf(func_def_129, type, sK67: $i > $o).
% 0.20/0.48 thf(func_def_130, type, sK68: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_131, type, sK69: $i > $o).
% 0.20/0.48 thf(func_def_132, type, sK70: $i > $i).
% 0.20/0.48 thf(func_def_133, type, sK71: $i > $o).
% 0.20/0.48 thf(func_def_137, type, sK75: $i > $i).
% 0.20/0.48 thf(func_def_138, type, sK76: $i > $i > $i).
% 0.20/0.48 thf(func_def_139, type, sK77: $i > $i > $i).
% 0.20/0.48 thf(func_def_140, type, sK78: $i > $i > $i).
% 0.20/0.48 thf(func_def_141, type, sK79: $i > $i > $i).
% 0.20/0.48 thf(func_def_142, type, sK80: $i > $i > $i).
% 0.20/0.48 thf(func_def_143, type, sK81: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_144, type, sK82: $i > $i).
% 0.20/0.48 thf(func_def_145, type, sK83: $i > $i).
% 0.20/0.48 thf(func_def_146, type, sK84: $i > $i).
% 0.20/0.48 thf(func_def_147, type, sK85: $i > $i).
% 0.20/0.48 thf(func_def_148, type, sK86: $i > $i > $i).
% 0.20/0.48 thf(func_def_149, type, sK87: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_150, type, sK88: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_151, type, sK89: $i > $i > $i).
% 0.20/0.48 thf(func_def_152, type, sK90: $i > $i > $i).
% 0.20/0.48 thf(func_def_153, type, sK91: $i > $i).
% 0.20/0.48 thf(func_def_155, type, sK93: $i > $i).
% 0.20/0.48 thf(func_def_156, type, sK94: $i > $i).
% 0.20/0.48 thf(func_def_159, type, sK97: $i > $i > $i).
% 0.20/0.48 thf(func_def_160, type, sK98: $i > $o).
% 0.20/0.48 thf(func_def_161, type, sK99: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_171, type, sK109: $i > $i > $i).
% 0.20/0.48 thf(func_def_172, type, sK110: $i > $o).
% 0.20/0.48 thf(func_def_180, type, ph118: !>[X0: $tType]:(X0)).
% 0.20/0.48 thf(f796,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f793])).
% 0.20/0.48 thf(f793,plain,(
% 0.20/0.48 ($true != $true)),
% 0.20/0.48 inference(superposition,[],[f666,f414])).
% 0.20/0.48 thf(f414,plain,(
% 0.20/0.48 ((in @ sK21 @ sK20) = $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f208])).
% 0.20/0.48 thf(f208,plain,(
% 0.20/0.48 (wellorderingAx = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setext = $true) & (setunionAx = $true) & (foundationAx = $true) & (setadjoinIR = $true) & (powersetAx = $true) & (exuE3e = $true) & (powersetE = $true) & (dsetconstrI = $true) & (setoftrueEq = $true) & (emptyInPowerset = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (notinemptyset = $true) & (emptyinunitempty = $true) & (emptyinPowerset = $true) & (setextAx = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (emptysetAx = $true) & (nonemptyE1 = $true) & (setadjoinE = $true) & (dsetconstrEL = $true) & (((in @ sK22 @ sK21) = $true) & ((in @ sK22 @ (setunion @ sK20)) != $true) & ((in @ sK21 @ sK20) = $true)) & (omegaSAx = $true) & (omegaIndAx = $true) & (replAx = $true) & (powersetI = $true) & (exuE1 = $true) & (descrp = $true) & (setadjoinIL = $true) & (nonemptyI = $true) & (setbeta = $true) & (emptysetimpfalse = $true) & (prop2setE = $true) & (nonemptyI1 = $true) & (dsetconstrER = $true)),
% 0.20/0.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f158,f207])).
% 0.20/0.48 thf(f207,plain,(
% 0.20/0.48 ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (setunion @ X0)) != $true) & ($true = (in @ X1 @ X0))) => (((in @ sK22 @ sK21) = $true) & ((in @ sK22 @ (setunion @ sK20)) != $true) & ((in @ sK21 @ sK20) = $true))),
% 0.20/0.48 introduced(choice_axiom,[])).
% 0.20/0.48 thf(f158,plain,(
% 0.20/0.48 (wellorderingAx = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setext = $true) & (setunionAx = $true) & (foundationAx = $true) & (setadjoinIR = $true) & (powersetAx = $true) & (exuE3e = $true) & (powersetE = $true) & (dsetconstrI = $true) & (setoftrueEq = $true) & (emptyInPowerset = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (notinemptyset = $true) & (emptyinunitempty = $true) & (emptyinPowerset = $true) & (setextAx = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (emptysetAx = $true) & (nonemptyE1 = $true) & (setadjoinE = $true) & (dsetconstrEL = $true) & ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ (setunion @ X0)) != $true) & ($true = (in @ X1 @ X0))) & (omegaSAx = $true) & (omegaIndAx = $true) & (replAx = $true) & (powersetI = $true) & (exuE1 = $true) & (descrp = $true) & (setadjoinIL = $true) & (nonemptyI = $true) & (setbeta = $true) & (emptysetimpfalse = $true) & (prop2setE = $true) & (nonemptyI1 = $true) & (dsetconstrER = $true)),
% 0.20/0.48 inference(flattening,[],[f157])).
% 0.20/0.48 thf(f157,plain,(
% 0.20/0.48 (((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((((in @ X2 @ (setunion @ X0)) != $true) & ($true = (in @ X1 @ X0))) & ((in @ X2 @ X1) = $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)),
% 0.20/0.48 inference(ennf_transformation,[],[f58])).
% 0.20/0.48 thf(f58,plain,(
% 0.20/0.48 ~((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) => ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => (($true = (in @ X1 @ X0)) => ((in @ X2 @ (setunion @ X0)) = $true)))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.48 inference(fool_elimination,[],[f57])).
% 0.20/0.48 thf(f57,plain,(
% 0.20/0.48 ~(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 => ! [X0,X1,X2] : ((in @ X2 @ X1) => ((in @ X1 @ X0) => (in @ X2 @ (setunion @ X0))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.48 inference(rectify,[],[f43])).
% 0.20/0.48 thf(f43,negated_conjecture,(
% 0.20/0.48 ~(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 => ! [X3,X4,X1] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => (in @ X1 @ (setunion @ X3))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.48 inference(negated_conjecture,[],[f42])).
% 0.20/0.48 thf(f42,conjecture,(
% 0.20/0.48 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 => ! [X3,X4,X1] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => (in @ X1 @ (setunion @ X3)))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI)).
% 0.20/0.48 thf(f666,plain,(
% 0.20/0.48 ((in @ sK21 @ sK20) != $true)),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f640])).
% 0.20/0.48 thf(f640,plain,(
% 0.20/0.48 ((in @ sK21 @ sK20) != $true) | ($true != $true)),
% 0.20/0.48 inference(superposition,[],[f639,f416])).
% 0.20/0.48 thf(f416,plain,(
% 0.20/0.48 ((in @ sK22 @ sK21) = $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f208])).
% 0.20/0.48 thf(f639,plain,(
% 0.20/0.48 ( ! [X0 : $i] : (($true != (in @ sK22 @ X0)) | ($true != (in @ X0 @ sK20))) )),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f638])).
% 0.20/0.48 thf(f638,plain,(
% 0.20/0.48 ( ! [X0 : $i] : (($true != (in @ X0 @ sK20)) | ($true != (in @ sK22 @ X0)) | ($true != $true)) )),
% 0.20/0.48 inference(forward_demodulation,[],[f636,f437])).
% 0.20/0.48 thf(f437,plain,(
% 0.20/0.48 (setunionAx = $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f208])).
% 0.20/0.48 thf(f636,plain,(
% 0.20/0.48 ( ! [X0 : $i] : ((setunionAx != $true) | ($true != (in @ sK22 @ X0)) | ($true != (in @ X0 @ sK20))) )),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f634])).
% 0.20/0.48 thf(f634,plain,(
% 0.20/0.48 ( ! [X0 : $i] : (($true != (in @ sK22 @ X0)) | ($true != $true) | (setunionAx != $true) | ($true != (in @ X0 @ sK20))) )),
% 0.20/0.48 inference(superposition,[],[f415,f379])).
% 0.20/0.48 thf(f379,plain,(
% 0.20/0.48 ( ! [X7 : $i,X4 : $i,X5 : $i] : (($true = (in @ X4 @ (setunion @ X5))) | ((in @ X7 @ X5) != $true) | ((in @ X4 @ X7) != $true) | (setunionAx != $true)) )),
% 0.20/0.48 inference(cnf_transformation,[],[f182])).
% 0.20/0.48 thf(f182,plain,(
% 0.20/0.48 ((setunionAx = $true) | ((((in @ sK5 @ (setunion @ sK6)) != $true) | ! [X2] : (($true != (in @ sK5 @ X2)) | ($true != (in @ X2 @ sK6)))) & (((in @ sK5 @ (setunion @ sK6)) = $true) | (((in @ sK5 @ sK7) = $true) & ($true = (in @ sK7 @ sK6)))))) & (! [X4,X5] : (((((in @ X4 @ (sK8 @ X5 @ X4)) = $true) & ($true = (in @ (sK8 @ X5 @ X4) @ X5))) | ($true != (in @ X4 @ (setunion @ X5)))) & (($true = (in @ X4 @ (setunion @ X5))) | ! [X7] : (((in @ X4 @ X7) != $true) | ((in @ X7 @ X5) != $true)))) | (setunionAx != $true))),
% 0.20/0.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f178,f181,f180,f179])).
% 0.20/0.48 thf(f179,plain,(
% 0.20/0.48 ? [X0,X1] : ((((in @ X0 @ (setunion @ X1)) != $true) | ! [X2] : (($true != (in @ X0 @ X2)) | ((in @ X2 @ X1) != $true))) & (((in @ X0 @ (setunion @ X1)) = $true) | ? [X3] : (((in @ X0 @ X3) = $true) & ($true = (in @ X3 @ X1))))) => ((((in @ sK5 @ (setunion @ sK6)) != $true) | ! [X2] : (($true != (in @ sK5 @ X2)) | ($true != (in @ X2 @ sK6)))) & (((in @ sK5 @ (setunion @ sK6)) = $true) | ? [X3] : (($true = (in @ sK5 @ X3)) & ($true = (in @ X3 @ sK6)))))),
% 0.20/0.48 introduced(choice_axiom,[])).
% 0.20/0.48 thf(f180,plain,(
% 0.20/0.48 ? [X3] : (($true = (in @ sK5 @ X3)) & ($true = (in @ X3 @ sK6))) => (((in @ sK5 @ sK7) = $true) & ($true = (in @ sK7 @ sK6)))),
% 0.20/0.48 introduced(choice_axiom,[])).
% 0.20/0.48 thf(f181,plain,(
% 0.20/0.48 ! [X4,X5] : (? [X6] : (($true = (in @ X4 @ X6)) & ((in @ X6 @ X5) = $true)) => (((in @ X4 @ (sK8 @ X5 @ X4)) = $true) & ($true = (in @ (sK8 @ X5 @ X4) @ X5))))),
% 0.20/0.48 introduced(choice_axiom,[])).
% 0.20/0.48 thf(f178,plain,(
% 0.20/0.48 ((setunionAx = $true) | ? [X0,X1] : ((((in @ X0 @ (setunion @ X1)) != $true) | ! [X2] : (($true != (in @ X0 @ X2)) | ((in @ X2 @ X1) != $true))) & (((in @ X0 @ (setunion @ X1)) = $true) | ? [X3] : (((in @ X0 @ X3) = $true) & ($true = (in @ X3 @ X1)))))) & (! [X4,X5] : ((? [X6] : (($true = (in @ X4 @ X6)) & ((in @ X6 @ X5) = $true)) | ($true != (in @ X4 @ (setunion @ X5)))) & (($true = (in @ X4 @ (setunion @ X5))) | ! [X7] : (((in @ X4 @ X7) != $true) | ((in @ X7 @ X5) != $true)))) | (setunionAx != $true))),
% 0.20/0.48 inference(rectify,[],[f177])).
% 0.20/0.48 thf(f177,plain,(
% 0.20/0.48 ((setunionAx = $true) | ? [X0,X1] : ((((in @ X0 @ (setunion @ X1)) != $true) | ! [X2] : (($true != (in @ X0 @ X2)) | ((in @ X2 @ X1) != $true))) & (((in @ X0 @ (setunion @ X1)) = $true) | ? [X2] : (($true = (in @ X0 @ X2)) & ((in @ X2 @ X1) = $true))))) & (! [X0,X1] : ((? [X2] : (($true = (in @ X0 @ X2)) & ((in @ X2 @ X1) = $true)) | ((in @ X0 @ (setunion @ X1)) != $true)) & (((in @ X0 @ (setunion @ X1)) = $true) | ! [X2] : (($true != (in @ X0 @ X2)) | ((in @ X2 @ X1) != $true)))) | (setunionAx != $true))),
% 0.20/0.48 inference(nnf_transformation,[],[f104])).
% 0.20/0.48 thf(f104,plain,(
% 0.20/0.48 (setunionAx = $true) <=> ! [X0,X1] : (? [X2] : (($true = (in @ X0 @ X2)) & ((in @ X2 @ X1) = $true)) <=> ((in @ X0 @ (setunion @ X1)) = $true))),
% 0.20/0.48 inference(fool_elimination,[],[f103])).
% 0.20/0.48 thf(f103,plain,(
% 0.20/0.48 (! [X0,X1] : ((in @ X0 @ (setunion @ X1)) <=> ? [X2] : ((in @ X2 @ X1) & (in @ X0 @ X2))) = setunionAx)),
% 0.20/0.48 inference(rectify,[],[f6])).
% 0.20/0.48 thf(f6,axiom,(
% 0.20/0.48 (! [X1,X3] : ((in @ X1 @ (setunion @ X3)) <=> ? [X4] : ((in @ X4 @ X3) & (in @ X1 @ X4))) = setunionAx)),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionAx)).
% 0.20/0.48 thf(f415,plain,(
% 0.20/0.48 ((in @ sK22 @ (setunion @ sK20)) != $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f208])).
% 0.20/0.48 % SZS output end Proof for theBenchmark
% 0.20/0.48 % (9612)------------------------------
% 0.20/0.48 % (9612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (9612)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (9612)Memory used [KB]: 6268
% 0.20/0.48 % (9612)Time elapsed: 0.021 s
% 0.20/0.48 % (9612)Instructions burned: 47 (million)
% 0.20/0.48 % (9612)------------------------------
% 0.20/0.48 % (9612)------------------------------
% 0.20/0.48 % (9589)Success in time 0.111 s
%------------------------------------------------------------------------------