TSTP Solution File: SEU531^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU531^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 15:41:05 EDT 2024
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU531^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 13:08:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.34 This is a TH0_THM_EQU_NAR problem
% 0.18/0.34 Running higher-order theorem proving
% 0.18/0.34 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
% 0.18/0.36 % (24991)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)
% 0.18/0.36 % (24990)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)
% 0.18/0.36 % (24992)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.37 % (24989)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.37 % (24987)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)
% 0.18/0.37 % (24989)Instruction limit reached!
% 0.18/0.37 % (24989)------------------------------
% 0.18/0.37 % (24989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.37 % (24989)Termination reason: Unknown
% 0.18/0.37 % (24989)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (24990)Instruction limit reached!
% 0.18/0.37 % (24990)------------------------------
% 0.18/0.37 % (24990)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.37 % (24990)Termination reason: Unknown
% 0.18/0.37 % (24990)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (24990)Memory used [KB]: 1023
% 0.18/0.37 % (24990)Time elapsed: 0.003 s
% 0.18/0.37 % (24990)Instructions burned: 3 (million)
% 0.18/0.37 % (24990)------------------------------
% 0.18/0.37 % (24990)------------------------------
% 0.18/0.37 % (24989)Memory used [KB]: 1023
% 0.18/0.37 % (24989)Time elapsed: 0.003 s
% 0.18/0.37 % (24989)Instructions burned: 2 (million)
% 0.18/0.37 % (24989)------------------------------
% 0.18/0.37 % (24989)------------------------------
% 0.18/0.37 % (24986)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.37 % (24988)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)
% 0.18/0.37 % (24987)Instruction limit reached!
% 0.18/0.37 % (24987)------------------------------
% 0.18/0.37 % (24987)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.37 % (24987)Termination reason: Unknown
% 0.18/0.37 % (24987)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (24987)Memory used [KB]: 1151
% 0.18/0.37 % (24987)Time elapsed: 0.004 s
% 0.18/0.37 % (24987)Instructions burned: 6 (million)
% 0.18/0.37 % (24987)------------------------------
% 0.18/0.37 % (24987)------------------------------
% 0.18/0.37 % (24992)Instruction limit reached!
% 0.18/0.37 % (24992)------------------------------
% 0.18/0.37 % (24992)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.37 % (24992)Termination reason: Unknown
% 0.18/0.37 % (24992)Termination phase: Property scanning
% 0.18/0.37
% 0.18/0.37 % (24992)Memory used [KB]: 1535
% 0.18/0.37 % (24992)Time elapsed: 0.011 s
% 0.18/0.37 % (24992)Instructions burned: 20 (million)
% 0.18/0.37 % (24992)------------------------------
% 0.18/0.37 % (24992)------------------------------
% 0.18/0.38 % (24994)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)
% 0.18/0.38 % (24993)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)
% 0.18/0.38 % (24988)Instruction limit reached!
% 0.18/0.38 % (24988)------------------------------
% 0.18/0.38 % (24988)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.38 % (24988)Termination reason: Unknown
% 0.18/0.38 % (24988)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (24988)Memory used [KB]: 5756
% 0.18/0.38 % (24988)Time elapsed: 0.016 s
% 0.18/0.38 % (24988)Instructions burned: 27 (million)
% 0.18/0.38 % (24988)------------------------------
% 0.18/0.38 % (24988)------------------------------
% 0.18/0.38 % (24995)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)
% 0.18/0.38 % (24993)Instruction limit reached!
% 0.18/0.38 % (24993)------------------------------
% 0.18/0.38 % (24993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.38 % (24993)Termination reason: Unknown
% 0.18/0.38 % (24993)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (24993)Memory used [KB]: 1151
% 0.18/0.38 % (24993)Time elapsed: 0.004 s
% 0.18/0.38 % (24993)Instructions burned: 4 (million)
% 0.18/0.38 % (24993)------------------------------
% 0.18/0.38 % (24993)------------------------------
% 0.18/0.39 % (24995)Instruction limit reached!
% 0.18/0.39 % (24995)------------------------------
% 0.18/0.39 % (24995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (24995)Termination reason: Unknown
% 0.18/0.39 % (24995)Termination phase: Preprocessing 3
% 0.18/0.39
% 0.18/0.39 % (24995)Memory used [KB]: 1535
% 0.18/0.39 % (24995)Time elapsed: 0.009 s
% 0.18/0.39 % (24995)Instructions burned: 15 (million)
% 0.18/0.39 % (24995)------------------------------
% 0.18/0.39 % (24995)------------------------------
% 0.18/0.39 % (24996)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)
% 0.18/0.39 % (24996)Instruction limit reached!
% 0.18/0.39 % (24996)------------------------------
% 0.18/0.39 % (24996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (24996)Termination reason: Unknown
% 0.18/0.39 % (24996)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (24996)Memory used [KB]: 1151
% 0.18/0.39 % (24996)Time elapsed: 0.004 s
% 0.18/0.39 % (24996)Instructions burned: 4 (million)
% 0.18/0.39 % (24996)------------------------------
% 0.18/0.39 % (24996)------------------------------
% 0.18/0.40 % (24994)Instruction limit reached!
% 0.18/0.40 % (24994)------------------------------
% 0.18/0.40 % (24994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (24994)Termination reason: Unknown
% 0.18/0.40 % (24994)Termination phase: Saturation
% 0.18/0.40
% 0.18/0.40 % (24994)Memory used [KB]: 6012
% 0.18/0.40 % (24994)Time elapsed: 0.017 s
% 0.18/0.40 % (24994)Instructions burned: 37 (million)
% 0.18/0.40 % (24994)------------------------------
% 0.18/0.40 % (24994)------------------------------
% 0.18/0.40 % (24998)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.40 % (24997)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)
% 0.18/0.40 % (24998)Instruction limit reached!
% 0.18/0.40 % (24998)------------------------------
% 0.18/0.40 % (24998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (24998)Termination reason: Unknown
% 0.18/0.40 % (24998)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (24998)Memory used [KB]: 1151
% 0.18/0.40 % (24998)Time elapsed: 0.006 s
% 0.18/0.40 % (24998)Instructions burned: 8 (million)
% 0.18/0.40 % (24998)------------------------------
% 0.18/0.40 % (24998)------------------------------
% 0.18/0.40 % (24999)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.41 % (25001)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)
% 0.18/0.41 % (24999)Instruction limit reached!
% 0.18/0.41 % (24999)------------------------------
% 0.18/0.41 % (24999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (25001)Instruction limit reached!
% 0.18/0.41 % (25001)------------------------------
% 0.18/0.41 % (25001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (25001)Termination reason: Unknown
% 0.18/0.41 % (24999)Termination reason: Unknown
% 0.18/0.41 % (25001)Termination phase: shuffling
% 0.18/0.41 % (24999)Termination phase: Function definition elimination
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % (25001)Memory used [KB]: 1151
% 0.18/0.41 % (24999)Memory used [KB]: 1279
% 0.18/0.41 % (24999)Time elapsed: 0.009 s
% 0.18/0.41 % (25001)Time elapsed: 0.004 s
% 0.18/0.41 % (24999)Instructions burned: 17 (million)
% 0.18/0.41 % (25001)Instructions burned: 4 (million)
% 0.18/0.41 % (24999)------------------------------
% 0.18/0.41 % (24999)------------------------------
% 0.18/0.41 % (25001)------------------------------
% 0.18/0.41 % (25001)------------------------------
% 0.18/0.41 % (25000)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 % (25000)Instruction limit reached!
% 0.18/0.41 % (25000)------------------------------
% 0.18/0.41 % (25000)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (25000)Termination reason: Unknown
% 0.18/0.41 % (25000)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (25000)Memory used [KB]: 1151
% 0.18/0.41 % (25000)Time elapsed: 0.004 s
% 0.18/0.41 % (25000)Instructions burned: 3 (million)
% 0.18/0.41 % (25000)------------------------------
% 0.18/0.41 % (25000)------------------------------
% 0.19/0.42 % (25002)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.42 % (25002)Instruction limit reached!
% 0.19/0.42 % (25002)------------------------------
% 0.19/0.42 % (25002)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (25002)Termination reason: Unknown
% 0.19/0.42 % (25002)Termination phase: Property scanning
% 0.19/0.42
% 0.19/0.42 % (25002)Memory used [KB]: 1151
% 0.19/0.42 % (25002)Time elapsed: 0.005 s
% 0.19/0.42 % (25002)Instructions burned: 8 (million)
% 0.19/0.42 % (25002)------------------------------
% 0.19/0.42 % (25002)------------------------------
% 0.19/0.43 % (25004)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.43 % (25003)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.43 % (25005)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.43 % (25004)Instruction limit reached!
% 0.19/0.43 % (25004)------------------------------
% 0.19/0.43 % (25004)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (25004)Termination reason: Unknown
% 0.19/0.43 % (25004)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (25004)Memory used [KB]: 1151
% 0.19/0.43 % (25004)Time elapsed: 0.004 s
% 0.19/0.43 % (25004)Instructions burned: 5 (million)
% 0.19/0.43 % (25004)------------------------------
% 0.19/0.43 % (25004)------------------------------
% 0.19/0.43 % (25003)Instruction limit reached!
% 0.19/0.43 % (25003)------------------------------
% 0.19/0.43 % (25003)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (25003)Termination reason: Unknown
% 0.19/0.43 % (25003)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (25003)Memory used [KB]: 1151
% 0.19/0.43 % (25003)Time elapsed: 0.004 s
% 0.19/0.43 % (25003)Instructions burned: 4 (million)
% 0.19/0.43 % (25003)------------------------------
% 0.19/0.43 % (25003)------------------------------
% 0.19/0.44 % (25005)Instruction limit reached!
% 0.19/0.44 % (25005)------------------------------
% 0.19/0.44 % (25005)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.44 % (25006)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.44 % (25005)Termination reason: Unknown
% 0.19/0.44 % (25005)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (25005)Memory used [KB]: 5756
% 0.19/0.44 % (25005)Time elapsed: 0.010 s
% 0.19/0.44 % (25005)Instructions burned: 19 (million)
% 0.19/0.44 % (25005)------------------------------
% 0.19/0.44 % (25005)------------------------------
% 0.19/0.44 % (25007)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.44 % (25008)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)
% 0.19/0.45 % (25007)Instruction limit reached!
% 0.19/0.45 % (25007)------------------------------
% 0.19/0.45 % (25007)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (25007)Termination reason: Unknown
% 0.19/0.45 % (25007)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (25007)Memory used [KB]: 1151
% 0.19/0.45 % (25007)Time elapsed: 0.005 s
% 0.19/0.45 % (25007)Instructions burned: 7 (million)
% 0.19/0.45 % (25007)------------------------------
% 0.19/0.45 % (25007)------------------------------
% 0.19/0.45 % (25009)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)
% 0.19/0.46 % (25009)Instruction limit reached!
% 0.19/0.46 % (25009)------------------------------
% 0.19/0.46 % (25009)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.46 % (25009)Termination reason: Unknown
% 0.19/0.46 % (25009)Termination phase: Property scanning
% 0.19/0.46
% 0.19/0.46 % (25009)Memory used [KB]: 1279
% 0.19/0.46 % (25009)Time elapsed: 0.011 s
% 0.19/0.46 % (25009)Instructions burned: 21 (million)
% 0.19/0.46 % (25009)------------------------------
% 0.19/0.46 % (25009)------------------------------
% 0.19/0.46 % (25010)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.46 % (24991)First to succeed.
% 0.19/0.47 % (25010)Instruction limit reached!
% 0.19/0.47 % (25010)------------------------------
% 0.19/0.47 % (25010)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.47 % (25010)Termination reason: Unknown
% 0.19/0.47 % (25010)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (25010)Memory used [KB]: 1151
% 0.19/0.47 % (25010)Time elapsed: 0.004 s
% 0.19/0.47 % (25010)Instructions burned: 5 (million)
% 0.19/0.47 % (25010)------------------------------
% 0.19/0.47 % (25010)------------------------------
% 0.19/0.47 % (24991)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% 0.19/0.47 thf(func_def_0, type, in: $i > $i > $o).
% 0.19/0.47 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.19/0.47 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.19/0.47 thf(func_def_8, type, powerset: $i > $i).
% 0.19/0.47 thf(func_def_10, type, setunion: $i > $i).
% 0.19/0.47 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.19/0.47 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.19/0.47 thf(func_def_26, type, prop2set: $o > $i).
% 0.19/0.47 thf(func_def_36, type, nonempty: $i > $o).
% 0.19/0.47 thf(func_def_72, type, sP1: $i > $i > $o).
% 0.19/0.47 thf(func_def_73, type, sP2: $i > $o).
% 0.19/0.47 thf(func_def_74, type, sP3: $i > $i > $o).
% 0.19/0.47 thf(func_def_75, type, sP4: $i > $i > $o).
% 0.19/0.47 thf(func_def_77, type, sK6: $i > $o).
% 0.19/0.47 thf(func_def_85, type, sK14: $i > $i > $i).
% 0.19/0.47 thf(func_def_89, type, sK18: $i > $i > $i).
% 0.19/0.47 thf(func_def_90, type, sK19: $i > $i > $i).
% 0.19/0.47 thf(func_def_94, type, sK23: $i > $o).
% 0.19/0.47 thf(func_def_99, type, sK28: $i > $i > $i).
% 0.19/0.47 thf(func_def_100, type, sK29: $i > $o).
% 0.19/0.47 thf(func_def_110, type, sK39: $i > $i).
% 0.19/0.47 thf(func_def_112, type, sK41: $i > $i).
% 0.19/0.47 thf(func_def_117, type, sK46: $i > $o).
% 0.19/0.47 thf(func_def_121, type, sK50: $o > $i > $i > $i).
% 0.19/0.47 thf(func_def_126, type, sK55: ($i > $o) > $i).
% 0.19/0.47 thf(func_def_127, type, sK56: $i > $o).
% 0.19/0.47 thf(func_def_128, type, sK57: $i > $i).
% 0.19/0.47 thf(func_def_131, type, sK60: $i > $o).
% 0.19/0.47 thf(func_def_132, type, sK61: $i > $i).
% 0.19/0.47 thf(func_def_133, type, sK62: ($i > $o) > $i).
% 0.19/0.47 thf(func_def_138, type, sK67: $i > $i).
% 0.19/0.47 thf(func_def_151, type, sK80: $i > $o).
% 0.19/0.47 thf(func_def_153, type, sK82: $i > $i).
% 0.19/0.47 thf(func_def_155, type, sK84: $i > $i).
% 0.19/0.47 thf(func_def_157, type, sK86: $i > $i).
% 0.19/0.47 thf(func_def_161, type, sK90: $i > $i > $i).
% 0.19/0.47 thf(func_def_162, type, sK91: $i > $i > $i).
% 0.19/0.47 thf(func_def_170, type, sK99: $i > $i > $o).
% 0.19/0.47 thf(func_def_171, type, sK100: $i > $i).
% 0.19/0.47 thf(func_def_172, type, sK101: $i > $i).
% 0.19/0.47 thf(func_def_173, type, sK102: ($i > $i > $o) > $i > $i).
% 0.19/0.47 thf(func_def_174, type, sK103: $i > ($i > $i > $o) > $i > $i).
% 0.19/0.47 thf(func_def_175, type, sK104: ($i > $i > $o) > $i > $i).
% 0.19/0.47 thf(func_def_177, type, sK106: $i > $i).
% 0.19/0.47 thf(func_def_178, type, sK107: $i > $o).
% 0.19/0.47 thf(func_def_179, type, sK108: ($i > $o) > $i).
% 0.19/0.47 thf(func_def_182, type, sK111: $i > $i > $i).
% 0.19/0.47 thf(func_def_183, type, sK112: $i > $i > $i).
% 0.19/0.47 thf(func_def_184, type, sK113: $i > $i > $i).
% 0.19/0.47 thf(func_def_185, type, sK114: $i > $i > $i).
% 0.19/0.47 thf(func_def_186, type, sK115: $i > $i > $i > $i).
% 0.19/0.47 thf(func_def_187, type, sK116: $i > $i).
% 0.19/0.47 thf(func_def_188, type, sK117: $i > $i).
% 0.19/0.47 thf(func_def_189, type, sK118: $i > $i).
% 0.19/0.47 thf(func_def_190, type, sK119: $i > $i).
% 0.19/0.47 thf(func_def_191, type, sK120: $i > $i > $i).
% 0.19/0.47 thf(func_def_192, type, sK121: $i > $i > $i > $i).
% 0.19/0.47 thf(func_def_193, type, sK122: $i > $i > $i > $i).
% 0.19/0.47 thf(func_def_194, type, sK123: $i > $i > $i).
% 0.19/0.47 thf(func_def_195, type, sK124: $i > $i > $i).
% 0.19/0.47 thf(func_def_197, type, sK126: $i > $i).
% 0.19/0.47 thf(func_def_198, type, sK127: $i > $i).
% 0.19/0.47 thf(func_def_199, type, sK128: $i > $i).
% 0.19/0.47 thf(func_def_200, type, sK129: $i > $i > $i).
% 0.19/0.47 thf(func_def_210, type, ph139: !>[X0: $tType]:(X0)).
% 0.19/0.47 thf(f1448,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(subsumption_resolution,[],[f1447,f686])).
% 0.19/0.47 thf(f686,plain,(
% 0.19/0.47 (sK134 != sK135)),
% 0.19/0.47 inference(cnf_transformation,[],[f451])).
% 0.19/0.47 thf(f451,plain,(
% 0.19/0.47 (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (setext = $true) & (descrp = $true) & (setunionAx = $true) & (subPowSU = $true) & (eqinunit = $true) & (setadjoinE = $true) & (exuE3e = $true) & (powersetI = $true) & (dsetconstrER = $true) & (setunionI = $true) & (singletonsswitch = $true) & (setadjoinOr = $true) & (powersetE = $true) & (noeltsimpempty = $true) & (wellorderingAx = $true) & (setadjoinAx = $true) & (setextAx = $true) & (replAx = $true) & (notinsingleton = $true) & (emptyInPowerset = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & ((sK134 != sK135) & ($true = (in @ sK134 @ (setadjoin @ sK136 @ (setadjoin @ sK135 @ emptyset)))) & (sK134 != sK136)) & (exuE2 = $true) & (setunionE = $true) & (dsetconstrI = $true) & (emptyinunitempty = $true) & (omega0Ax = $true) & (exuE1 = $true) & (emptysetE = $true) & (nonemptyI1 = $true) & (notinemptyset = $true) & (powersetAx = $true) & (emptyI = $true) & (foundationAx = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (emptysetAx = $true) & (uniqinunit = $true) & (setoftrueEq = $true) & (emptysetimpfalse = $true) & (prop2setE = $true) & (nonemptyImpWitness = $true) & (omegaSAx = $true) & (dsetconstrEL = $true)),
% 0.19/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK134,sK135,sK136])],[f194,f450])).
% 0.19/0.47 thf(f450,plain,(
% 0.19/0.47 ? [X0,X1,X2] : ((X0 != X1) & ((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) = $true) & (X0 != X2)) => ((sK134 != sK135) & ($true = (in @ sK134 @ (setadjoin @ sK136 @ (setadjoin @ sK135 @ emptyset)))) & (sK134 != sK136))),
% 0.19/0.47 introduced(choice_axiom,[])).
% 0.19/0.47 thf(f194,plain,(
% 0.19/0.47 (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (setext = $true) & (descrp = $true) & (setunionAx = $true) & (subPowSU = $true) & (eqinunit = $true) & (setadjoinE = $true) & (exuE3e = $true) & (powersetI = $true) & (dsetconstrER = $true) & (setunionI = $true) & (singletonsswitch = $true) & (setadjoinOr = $true) & (powersetE = $true) & (noeltsimpempty = $true) & (wellorderingAx = $true) & (setadjoinAx = $true) & (setextAx = $true) & (replAx = $true) & (notinsingleton = $true) & (emptyInPowerset = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & ? [X0,X1,X2] : ((X0 != X1) & ((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) = $true) & (X0 != X2)) & (exuE2 = $true) & (setunionE = $true) & (dsetconstrI = $true) & (emptyinunitempty = $true) & (omega0Ax = $true) & (exuE1 = $true) & (emptysetE = $true) & (nonemptyI1 = $true) & (notinemptyset = $true) & (powersetAx = $true) & (emptyI = $true) & (foundationAx = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (emptysetAx = $true) & (uniqinunit = $true) & (setoftrueEq = $true) & (emptysetimpfalse = $true) & (prop2setE = $true) & (nonemptyImpWitness = $true) & (omegaSAx = $true) & (dsetconstrEL = $true)),
% 0.19/0.47 inference(flattening,[],[f193])).
% 0.19/0.47 thf(f193,plain,(
% 0.19/0.47 ((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((X0 != X2) & (X0 != X1)) & ((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) = $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)),
% 0.19/0.47 inference(ennf_transformation,[],[f150])).
% 0.19/0.47 thf(f150,plain,(
% 0.19/0.47 ~((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) => ! [X0,X1,X2] : (((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) = $true) => ((X0 = X2) | (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.19/0.47 inference(fool_elimination,[],[f149])).
% 0.19/0.47 thf(f149,plain,(
% 0.19/0.47 ~(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 => ! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset))) => ((X0 = X2) | (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.19/0.47 inference(rectify,[],[f52])).
% 0.19/0.47 thf(f52,negated_conjecture,(
% 0.19/0.47 ~(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 => ! [X8,X2,X1] : ((in @ X8 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X1 = X8) | (X2 = X8))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.19/0.47 inference(negated_conjecture,[],[f51])).
% 0.19/0.47 thf(f51,conjecture,(
% 0.19/0.47 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 => ! [X8,X2,X1] : ((in @ X8 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X1 = X8) | (X2 = X8)))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetE)).
% 0.19/0.47 thf(f1447,plain,(
% 0.19/0.47 (sK134 = sK135)),
% 0.19/0.47 inference(subsumption_resolution,[],[f1446,f953])).
% 0.19/0.47 thf(f953,plain,(
% 0.19/0.47 ( ! [X0 : $i] : (($true != (in @ X0 @ emptyset))) )),
% 0.19/0.47 inference(trivial_inequality_removal,[],[f788])).
% 0.19/0.47 thf(f788,plain,(
% 0.19/0.47 ( ! [X0 : $i] : (($true != $true) | ($true != (in @ X0 @ emptyset))) )),
% 0.19/0.47 inference(definition_unfolding,[],[f532,f666])).
% 0.19/0.47 thf(f666,plain,(
% 0.19/0.47 (emptysetimpfalse = $true)),
% 0.19/0.47 inference(cnf_transformation,[],[f451])).
% 0.19/0.47 thf(f532,plain,(
% 0.19/0.47 ( ! [X0 : $i] : (($true != (in @ X0 @ emptyset)) | (emptysetimpfalse != $true)) )),
% 0.19/0.47 inference(cnf_transformation,[],[f308])).
% 0.19/0.47 thf(f308,plain,(
% 0.19/0.47 (! [X0] : ($true != (in @ X0 @ emptyset)) | (emptysetimpfalse != $true)) & ((emptysetimpfalse = $true) | ($true = (in @ sK54 @ emptyset)))),
% 0.19/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f306,f307])).
% 0.19/0.47 thf(f307,plain,(
% 0.19/0.47 ? [X1] : ((in @ X1 @ emptyset) = $true) => ($true = (in @ sK54 @ emptyset))),
% 0.19/0.47 introduced(choice_axiom,[])).
% 0.19/0.47 thf(f306,plain,(
% 0.19/0.47 (! [X0] : ($true != (in @ X0 @ emptyset)) | (emptysetimpfalse != $true)) & ((emptysetimpfalse = $true) | ? [X1] : ((in @ X1 @ emptyset) = $true))),
% 0.19/0.47 inference(rectify,[],[f305])).
% 0.19/0.47 thf(f305,plain,(
% 0.19/0.47 (! [X0] : ($true != (in @ X0 @ emptyset)) | (emptysetimpfalse != $true)) & ((emptysetimpfalse = $true) | ? [X0] : ($true = (in @ X0 @ emptyset)))),
% 0.19/0.47 inference(nnf_transformation,[],[f155])).
% 0.19/0.47 thf(f155,plain,(
% 0.19/0.47 ! [X0] : ($true != (in @ X0 @ emptyset)) <=> (emptysetimpfalse = $true)),
% 0.19/0.47 inference(flattening,[],[f154])).
% 0.19/0.47 thf(f154,plain,(
% 0.19/0.47 ! [X0] : ~($true = (in @ X0 @ emptyset)) <=> (emptysetimpfalse = $true)),
% 0.19/0.47 inference(true_and_false_elimination,[],[f92])).
% 0.19/0.47 thf(f92,plain,(
% 0.19/0.47 ! [X0] : (($true = (in @ X0 @ emptyset)) => $false) <=> (emptysetimpfalse = $true)),
% 0.19/0.47 inference(fool_elimination,[],[f91])).
% 0.19/0.47 thf(f91,plain,(
% 0.19/0.47 (! [X0] : ((in @ X0 @ emptyset) => $false) = emptysetimpfalse)),
% 0.19/0.47 inference(rectify,[],[f21])).
% 0.19/0.47 thf(f21,axiom,(
% 0.19/0.47 (! [X1] : ((in @ X1 @ emptyset) => $false) = emptysetimpfalse)),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse)).
% 0.19/0.47 thf(f1446,plain,(
% 0.19/0.47 ($true = (in @ sK134 @ emptyset)) | (sK134 = sK135)),
% 0.19/0.47 inference(trivial_inequality_removal,[],[f1442])).
% 0.19/0.47 thf(f1442,plain,(
% 0.19/0.47 ($true != $true) | (sK134 = sK135) | ($true = (in @ sK134 @ emptyset))),
% 0.19/0.47 inference(superposition,[],[f938,f1435])).
% 0.19/0.47 thf(f1435,plain,(
% 0.19/0.47 ((in @ sK134 @ (setadjoin @ sK135 @ emptyset)) = $true)),
% 0.19/0.47 inference(subsumption_resolution,[],[f1423,f684])).
% 0.19/0.47 thf(f684,plain,(
% 0.19/0.47 (sK134 != sK136)),
% 0.19/0.47 inference(cnf_transformation,[],[f451])).
% 0.19/0.47 thf(f1423,plain,(
% 0.19/0.47 ((in @ sK134 @ (setadjoin @ sK135 @ emptyset)) = $true) | (sK134 = sK136)),
% 0.19/0.47 inference(trivial_inequality_removal,[],[f1405])).
% 0.19/0.47 thf(f1405,plain,(
% 0.19/0.47 ((in @ sK134 @ (setadjoin @ sK135 @ emptyset)) = $true) | ($true != $true) | (sK134 = sK136)),
% 0.19/0.47 inference(superposition,[],[f938,f685])).
% 0.19/0.47 thf(f685,plain,(
% 0.19/0.47 ($true = (in @ sK134 @ (setadjoin @ sK136 @ (setadjoin @ sK135 @ emptyset))))),
% 0.19/0.47 inference(cnf_transformation,[],[f451])).
% 0.19/0.47 thf(f938,plain,(
% 0.19/0.47 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (setadjoin @ X4 @ X3))) | (X4 = X5) | ((in @ X5 @ X3) = $true)) )),
% 0.19/0.47 inference(trivial_inequality_removal,[],[f806])).
% 0.19/0.47 thf(f806,plain,(
% 0.19/0.47 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true != (in @ X5 @ (setadjoin @ X4 @ X3))) | (X4 = X5) | ((in @ X5 @ X3) = $true)) )),
% 0.19/0.47 inference(definition_unfolding,[],[f548,f693])).
% 0.19/0.47 thf(f693,plain,(
% 0.19/0.47 (setadjoinAx = $true)),
% 0.19/0.47 inference(cnf_transformation,[],[f451])).
% 0.19/0.47 thf(f548,plain,(
% 0.19/0.47 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((X4 = X5) | ((in @ X5 @ X3) = $true) | ($true != (in @ X5 @ (setadjoin @ X4 @ X3))) | (setadjoinAx != $true)) )),
% 0.19/0.47 inference(cnf_transformation,[],[f329])).
% 0.19/0.47 thf(f329,plain,(
% 0.19/0.47 ((setadjoinAx = $true) | ((($true != (in @ sK65 @ (setadjoin @ sK64 @ sK63))) | ((sK64 != sK65) & ($true != (in @ sK65 @ sK63)))) & (($true = (in @ sK65 @ (setadjoin @ sK64 @ sK63))) | (sK64 = sK65) | ($true = (in @ sK65 @ sK63))))) & (! [X3,X4,X5] : (((X4 = X5) | ((in @ X5 @ X3) = $true) | ($true != (in @ X5 @ (setadjoin @ X4 @ X3)))) & (($true = (in @ X5 @ (setadjoin @ X4 @ X3))) | ((X4 != X5) & ((in @ X5 @ X3) != $true)))) | (setadjoinAx != $true))),
% 0.19/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK63,sK64,sK65])],[f327,f328])).
% 0.19/0.47 thf(f328,plain,(
% 0.19/0.47 ? [X0,X1,X2] : ((($true != (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | (X1 = X2) | ((in @ X2 @ X0) = $true))) => ((($true != (in @ sK65 @ (setadjoin @ sK64 @ sK63))) | ((sK64 != sK65) & ($true != (in @ sK65 @ sK63)))) & (($true = (in @ sK65 @ (setadjoin @ sK64 @ sK63))) | (sK64 = sK65) | ($true = (in @ sK65 @ sK63))))),
% 0.19/0.47 introduced(choice_axiom,[])).
% 0.19/0.47 thf(f327,plain,(
% 0.19/0.47 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((($true != (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | (X1 = X2) | ((in @ X2 @ X0) = $true)))) & (! [X3,X4,X5] : (((X4 = X5) | ((in @ X5 @ X3) = $true) | ($true != (in @ X5 @ (setadjoin @ X4 @ X3)))) & (($true = (in @ X5 @ (setadjoin @ X4 @ X3))) | ((X4 != X5) & ((in @ X5 @ X3) != $true)))) | (setadjoinAx != $true))),
% 0.19/0.47 inference(rectify,[],[f326])).
% 0.19/0.47 thf(f326,plain,(
% 0.19/0.47 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((($true != (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | (X1 = X2) | ((in @ X2 @ X0) = $true)))) & (! [X0,X1,X2] : (((X1 = X2) | ((in @ X2 @ X0) = $true) | ($true != (in @ X2 @ (setadjoin @ X1 @ X0)))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true)))) | (setadjoinAx != $true))),
% 0.19/0.47 inference(flattening,[],[f325])).
% 0.19/0.47 thf(f325,plain,(
% 0.19/0.47 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((($true != (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 = X2) | ((in @ X2 @ X0) = $true))))) & (! [X0,X1,X2] : ((((X1 = X2) | ((in @ X2 @ X0) = $true)) | ($true != (in @ X2 @ (setadjoin @ X1 @ X0)))) & (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ((X1 != X2) & ((in @ X2 @ X0) != $true)))) | (setadjoinAx != $true))),
% 0.19/0.47 inference(nnf_transformation,[],[f148])).
% 0.19/0.47 thf(f148,plain,(
% 0.19/0.47 (setadjoinAx = $true) <=> ! [X0,X1,X2] : (((X1 = X2) | ((in @ X2 @ X0) = $true)) <=> ($true = (in @ X2 @ (setadjoin @ X1 @ X0))))),
% 0.19/0.47 inference(fool_elimination,[],[f147])).
% 0.19/0.47 thf(f147,plain,(
% 0.19/0.47 (setadjoinAx = ! [X0,X1,X2] : (((in @ X2 @ X0) | (X1 = X2)) <=> (in @ X2 @ (setadjoin @ X1 @ X0))))),
% 0.19/0.47 inference(rectify,[],[f4])).
% 0.19/0.47 thf(f4,axiom,(
% 0.19/0.47 (setadjoinAx = ! [X3,X1,X2] : (((in @ X2 @ X3) | (X1 = X2)) <=> (in @ X2 @ (setadjoin @ X1 @ X3))))),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx)).
% 0.19/0.47 % SZS output end Proof for theBenchmark
% 0.19/0.47 % (24991)------------------------------
% 0.19/0.47 % (24991)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.47 % (24991)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (24991)Memory used [KB]: 6908
% 0.19/0.47 % (24991)Time elapsed: 0.104 s
% 0.19/0.47 % (24991)Instructions burned: 196 (million)
% 0.19/0.47 % (24991)------------------------------
% 0.19/0.47 % (24991)------------------------------
% 0.19/0.47 % (24985)Success in time 0.11 s
%------------------------------------------------------------------------------