TSTP Solution File: SEU594^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU594^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 15:41:33 EDT 2024
% Result : Theorem 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU594^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.10 % Command : run_vampire %s %d THM
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Fri Jun 21 18:04:39 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.17/0.31 This is a TH0_THM_EQU_NAR problem
% 0.17/0.31 Running higher-order theorem proving
% 0.17/0.32 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.17/0.33 % (7152)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.17/0.34 % (7154)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.34 % (7150)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.34 % (7156)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.34 % (7155)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.17/0.34 % (7153)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.34 % (7153)Instruction limit reached!
% 0.17/0.34 % (7153)------------------------------
% 0.17/0.34 % (7153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.34 % (7153)Termination reason: Unknown
% 0.17/0.34 % (7153)Termination phase: shuffling
% 0.17/0.34
% 0.17/0.34 % (7153)Memory used [KB]: 1151
% 0.17/0.34 % (7153)Time elapsed: 0.003 s
% 0.17/0.34 % (7153)Instructions burned: 3 (million)
% 0.17/0.34 % (7153)------------------------------
% 0.17/0.34 % (7153)------------------------------
% 0.17/0.34 % (7151)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.35 % (7156)Instruction limit reached!
% 0.17/0.35 % (7156)------------------------------
% 0.17/0.35 % (7156)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.35 % (7156)Termination reason: Unknown
% 0.17/0.35 % (7156)Termination phase: Preprocessing 3
% 0.17/0.35
% 0.17/0.35 % (7156)Memory used [KB]: 1663
% 0.17/0.35 % (7156)Time elapsed: 0.010 s
% 0.17/0.35 % (7156)Instructions burned: 18 (million)
% 0.17/0.35 % (7156)------------------------------
% 0.17/0.35 % (7156)------------------------------
% 0.17/0.35 % (7151)Instruction limit reached!
% 0.17/0.35 % (7151)------------------------------
% 0.17/0.35 % (7151)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.35 % (7151)Termination reason: Unknown
% 0.17/0.35 % (7151)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (7151)Memory used [KB]: 1279
% 0.17/0.35 % (7151)Time elapsed: 0.004 s
% 0.17/0.35 % (7151)Instructions burned: 4 (million)
% 0.17/0.35 % (7151)------------------------------
% 0.17/0.35 % (7151)------------------------------
% 0.17/0.35 % (7154)Instruction limit reached!
% 0.17/0.35 % (7154)------------------------------
% 0.17/0.35 % (7154)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.35 % (7154)Termination reason: Unknown
% 0.17/0.35 % (7154)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (7154)Memory used [KB]: 1151
% 0.17/0.35 % (7154)Time elapsed: 0.004 s
% 0.17/0.35 % (7154)Instructions burned: 4 (million)
% 0.17/0.35 % (7154)------------------------------
% 0.17/0.35 % (7154)------------------------------
% 0.17/0.35 % (7152)Instruction limit reached!
% 0.17/0.35 % (7152)------------------------------
% 0.17/0.35 % (7152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.35 % (7152)Termination reason: Unknown
% 0.17/0.35 % (7152)Termination phase: Property scanning
% 0.17/0.35
% 0.17/0.35 % (7152)Memory used [KB]: 1535
% 0.17/0.35 % (7152)Time elapsed: 0.010 s
% 0.17/0.35 % (7152)Instructions burned: 28 (million)
% 0.17/0.35 % (7152)------------------------------
% 0.17/0.35 % (7152)------------------------------
% 0.17/0.36 % (7160)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)
% 0.17/0.36 % (7160)Instruction limit reached!
% 0.17/0.36 % (7160)------------------------------
% 0.17/0.36 % (7160)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (7160)Termination reason: Unknown
% 0.17/0.36 % (7160)Termination phase: shuffling
% 0.17/0.36 % (7158)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.36
% 0.17/0.36 % (7160)Memory used [KB]: 1279
% 0.17/0.36 % (7160)Time elapsed: 0.003 s
% 0.17/0.36 % (7160)Instructions burned: 5 (million)
% 0.17/0.36 % (7160)------------------------------
% 0.17/0.36 % (7160)------------------------------
% 0.17/0.36 % (7159)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)
% 0.17/0.36 % (7157)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.36 % (7157)Instruction limit reached!
% 0.17/0.36 % (7157)------------------------------
% 0.17/0.36 % (7157)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (7157)Termination reason: Unknown
% 0.17/0.36 % (7157)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (7157)Memory used [KB]: 1151
% 0.17/0.36 % (7157)Time elapsed: 0.003 s
% 0.17/0.36 % (7157)Instructions burned: 3 (million)
% 0.17/0.36 % (7157)------------------------------
% 0.17/0.36 % (7157)------------------------------
% 0.17/0.36 % (7161)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)
% 0.17/0.37 % (7159)Instruction limit reached!
% 0.17/0.37 % (7159)------------------------------
% 0.17/0.37 % (7159)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (7159)Termination reason: Unknown
% 0.17/0.37 % (7159)Termination phase: Preprocessing 3
% 0.17/0.37
% 0.17/0.37 % (7159)Memory used [KB]: 1535
% 0.17/0.37 % (7159)Time elapsed: 0.009 s
% 0.17/0.37 % (7159)Instructions burned: 16 (million)
% 0.17/0.37 % (7159)------------------------------
% 0.17/0.37 % (7159)------------------------------
% 0.17/0.37 % (7162)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.37 % (7162)Instruction limit reached!
% 0.17/0.37 % (7162)------------------------------
% 0.17/0.37 % (7162)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (7162)Termination reason: Unknown
% 0.17/0.37 % (7162)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (7162)Memory used [KB]: 1279
% 0.17/0.37 % (7162)Time elapsed: 0.005 s
% 0.17/0.37 % (7162)Instructions burned: 9 (million)
% 0.17/0.37 % (7162)------------------------------
% 0.17/0.37 % (7162)------------------------------
% 0.17/0.38 % (7158)Instruction limit reached!
% 0.17/0.38 % (7158)------------------------------
% 0.17/0.38 % (7158)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (7158)Termination reason: Unknown
% 0.17/0.38 % (7158)Termination phase: Function definition elimination
% 0.17/0.38
% 0.17/0.38 % (7158)Memory used [KB]: 1663
% 0.17/0.38 % (7158)Time elapsed: 0.018 s
% 0.17/0.38 % (7158)Instructions burned: 38 (million)
% 0.17/0.38 % (7158)------------------------------
% 0.17/0.38 % (7158)------------------------------
% 0.17/0.38 % (7163)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.38 % (7165)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)
% 0.17/0.38 % (7164)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)
% 0.17/0.38 % (7165)Instruction limit reached!
% 0.17/0.38 % (7165)------------------------------
% 0.17/0.38 % (7165)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (7165)Termination reason: Unknown
% 0.17/0.38 % (7165)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (7165)Memory used [KB]: 1279
% 0.17/0.38 % (7165)Time elapsed: 0.003 s
% 0.17/0.38 % (7165)Instructions burned: 5 (million)
% 0.17/0.38 % (7165)------------------------------
% 0.17/0.38 % (7165)------------------------------
% 0.17/0.38 % (7163)Instruction limit reached!
% 0.17/0.38 % (7163)------------------------------
% 0.17/0.38 % (7163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (7163)Termination reason: Unknown
% 0.17/0.38 % (7163)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (7163)Memory used [KB]: 1535
% 0.17/0.38 % (7163)Time elapsed: 0.010 s
% 0.17/0.38 % (7163)Instructions burned: 17 (million)
% 0.17/0.38 % (7163)------------------------------
% 0.17/0.38 % (7163)------------------------------
% 0.17/0.39 % (7164)Instruction limit reached!
% 0.17/0.39 % (7164)------------------------------
% 0.17/0.39 % (7164)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (7164)Termination reason: Unknown
% 0.17/0.39 % (7164)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (7164)Memory used [KB]: 1279
% 0.17/0.39 % (7164)Time elapsed: 0.004 s
% 0.17/0.39 % (7164)Instructions burned: 4 (million)
% 0.17/0.39 % (7164)------------------------------
% 0.17/0.39 % (7164)------------------------------
% 0.17/0.39 % (7166)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)
% 0.17/0.39 % (7167)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)
% 0.17/0.39 % (7167)Instruction limit reached!
% 0.17/0.39 % (7167)------------------------------
% 0.17/0.39 % (7167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (7167)Termination reason: Unknown
% 0.17/0.39 % (7167)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (7167)Memory used [KB]: 1279
% 0.17/0.39 % (7167)Time elapsed: 0.003 s
% 0.17/0.40 % (7167)Instructions burned: 4 (million)
% 0.17/0.40 % (7167)------------------------------
% 0.17/0.40 % (7167)------------------------------
% 0.17/0.40 % (7166)Instruction limit reached!
% 0.17/0.40 % (7166)------------------------------
% 0.17/0.40 % (7166)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (7166)Termination reason: Unknown
% 0.17/0.40 % (7166)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (7166)Memory used [KB]: 1279
% 0.17/0.40 % (7166)Time elapsed: 0.006 s
% 0.17/0.40 % (7166)Instructions burned: 7 (million)
% 0.17/0.40 % (7166)------------------------------
% 0.17/0.40 % (7166)------------------------------
% 0.17/0.40 % (7169)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)
% 0.17/0.40 % (7168)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.40 % (7170)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.40 % (7168)Instruction limit reached!
% 0.17/0.40 % (7168)------------------------------
% 0.17/0.40 % (7168)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (7168)Termination reason: Unknown
% 0.17/0.41 % (7168)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (7168)Memory used [KB]: 1279
% 0.17/0.41 % (7168)Time elapsed: 0.004 s
% 0.17/0.41 % (7168)Instructions burned: 5 (million)
% 0.17/0.41 % (7168)------------------------------
% 0.17/0.41 % (7168)------------------------------
% 0.17/0.41 % (7171)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.41 % (7150)Instruction limit reached!
% 0.17/0.41 % (7150)------------------------------
% 0.17/0.41 % (7150)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (7150)Termination reason: Unknown
% 0.17/0.41 % (7150)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (7150)Memory used [KB]: 7036
% 0.17/0.41 % (7150)Time elapsed: 0.072 s
% 0.17/0.41 % (7150)Instructions burned: 185 (million)
% 0.17/0.41 % (7150)------------------------------
% 0.17/0.41 % (7150)------------------------------
% 0.17/0.41 % (7171)Instruction limit reached!
% 0.17/0.41 % (7171)------------------------------
% 0.17/0.41 % (7171)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (7171)Termination reason: Unknown
% 0.17/0.41 % (7171)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (7171)Memory used [KB]: 1279
% 0.17/0.41 % (7171)Time elapsed: 0.004 s
% 0.17/0.41 % (7171)Instructions burned: 7 (million)
% 0.17/0.41 % (7171)------------------------------
% 0.17/0.41 % (7171)------------------------------
% 0.17/0.41 % (7155)First to succeed.
% 0.17/0.41 % (7169)Instruction limit reached!
% 0.17/0.41 % (7169)------------------------------
% 0.17/0.41 % (7169)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (7169)Termination reason: Unknown
% 0.17/0.41 % (7169)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (7169)Memory used [KB]: 1535
% 0.17/0.41 % (7169)Time elapsed: 0.011 s
% 0.17/0.41 % (7169)Instructions burned: 19 (million)
% 0.17/0.41 % (7169)------------------------------
% 0.17/0.41 % (7169)------------------------------
% 0.17/0.41 % (7155)Refutation found. Thanks to Tanya!
% 0.17/0.41 % SZS status Theorem for theBenchmark
% 0.17/0.41 % SZS output start Proof for theBenchmark
% 0.17/0.41 thf(func_def_0, type, in: $i > $i > $o).
% 0.17/0.41 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.17/0.41 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.17/0.41 thf(func_def_8, type, powerset: $i > $i).
% 0.17/0.41 thf(func_def_10, type, setunion: $i > $i).
% 0.17/0.41 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_26, type, prop2set: $o > $i).
% 0.17/0.41 thf(func_def_36, type, nonempty: $i > $o).
% 0.17/0.41 thf(func_def_69, type, set2prop: $i > $o).
% 0.17/0.41 thf(func_def_88, type, subset: $i > $i > $o).
% 0.17/0.41 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.17/0.41 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.17/0.41 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.17/0.41 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.17/0.41 thf(func_def_141, type, sP1: $i > $i > $o).
% 0.17/0.41 thf(func_def_142, type, sP2: $i > $o).
% 0.17/0.41 thf(func_def_143, type, sP3: $i > $i > $o).
% 0.17/0.41 thf(func_def_144, type, sP4: $i > $i > $o).
% 0.17/0.41 thf(func_def_147, type, sK7: $i > $o).
% 0.17/0.41 thf(func_def_156, type, sK16: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_157, type, sK17: $i > $o).
% 0.17/0.41 thf(func_def_158, type, sK18: $i > $i).
% 0.17/0.41 thf(func_def_167, type, sK27: $i > $i > $i).
% 0.17/0.41 thf(func_def_170, type, sK30: $i > $i).
% 0.17/0.41 thf(func_def_188, type, sK48: $i > $i > $o).
% 0.17/0.41 thf(func_def_189, type, sK49: $i > $i).
% 0.17/0.41 thf(func_def_190, type, sK50: $i > $i).
% 0.17/0.41 thf(func_def_191, type, sK51: ($i > $i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_192, type, sK52: ($i > $i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_193, type, sK53: $i > ($i > $i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_207, type, sK67: $i > $o).
% 0.17/0.41 thf(func_def_212, type, sK72: $i > $i > $i).
% 0.17/0.41 thf(func_def_215, type, sK75: $i > $o).
% 0.17/0.41 thf(func_def_220, type, sK80: $i > $o).
% 0.17/0.41 thf(func_def_223, type, sK83: $i > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_226, type, sK86: $i > $o).
% 0.17/0.41 thf(func_def_228, type, sK88: ($i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_231, type, sK91: $i > $o).
% 0.17/0.41 thf(func_def_232, type, sK92: $i > $o).
% 0.17/0.41 thf(func_def_233, type, sK93: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.17/0.41 thf(func_def_234, type, sK94: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.17/0.41 thf(func_def_245, type, sK105: $i > $i > $i).
% 0.17/0.41 thf(func_def_246, type, sK106: $i > $i > $i).
% 0.17/0.41 thf(func_def_247, type, sK107: $i > $i > $i).
% 0.17/0.41 thf(func_def_248, type, sK108: $i > $i > $i).
% 0.17/0.41 thf(func_def_249, type, sK109: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_250, type, sK110: $i > $i).
% 0.17/0.41 thf(func_def_251, type, sK111: $i > $i).
% 0.17/0.41 thf(func_def_252, type, sK112: $i > $i).
% 0.17/0.41 thf(func_def_253, type, sK113: $i > $i).
% 0.17/0.41 thf(func_def_254, type, sK114: $i > $i > $i).
% 0.17/0.41 thf(func_def_255, type, sK115: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_256, type, sK116: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_257, type, sK117: $i > $i > $i).
% 0.17/0.41 thf(func_def_258, type, sK118: $i > $i > $i).
% 0.17/0.41 thf(func_def_260, type, sK120: $i > $i).
% 0.17/0.41 thf(func_def_261, type, sK121: $i > $i).
% 0.17/0.41 thf(func_def_262, type, sK122: $i > $i).
% 0.17/0.41 thf(func_def_263, type, sK123: $i > $i > $i).
% 0.17/0.41 thf(func_def_264, type, sK124: $i > $i > $i).
% 0.17/0.41 thf(func_def_269, type, sK129: $o > $i > $i > $i).
% 0.17/0.41 thf(func_def_280, type, sK140: $i > $i > $i).
% 0.17/0.41 thf(func_def_281, type, sK141: $i > $i > $i).
% 0.17/0.41 thf(func_def_290, type, sK150: $i > $i > $i).
% 0.17/0.41 thf(func_def_303, type, sK163: $i > $o).
% 0.17/0.41 thf(func_def_306, type, sK166: $i > $o).
% 0.17/0.41 thf(func_def_318, type, sK178: $i > $i).
% 0.17/0.41 thf(func_def_321, type, sK181: $i > $o).
% 0.17/0.41 thf(func_def_324, type, sK184: ($i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_326, type, sK186: $i > $o).
% 0.17/0.41 thf(func_def_329, type, sK189: $i > $o).
% 0.17/0.41 thf(func_def_331, type, sK191: ($i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_338, type, sK198: $i > $o).
% 0.17/0.41 thf(func_def_340, type, sK200: ($i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_346, type, sK206: $i > $i).
% 0.17/0.41 thf(func_def_348, type, sK208: $i > $i).
% 0.17/0.41 thf(func_def_350, type, sK210: $i > $o).
% 0.17/0.41 thf(func_def_365, type, sK225: $i > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_366, type, sK226: $i > $o).
% 0.17/0.41 thf(func_def_368, type, sK228: $i > $o).
% 0.17/0.41 thf(func_def_369, type, sK229: $i > $o).
% 0.17/0.41 thf(func_def_370, type, sK230: $i > $o).
% 0.17/0.41 thf(func_def_371, type, sK231: ($i > $o) > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_372, type, sK232: ($i > $o) > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_374, type, sK234: $i > $o).
% 0.17/0.41 thf(func_def_376, type, sK236: $i > $o).
% 0.17/0.41 thf(func_def_378, type, sK238: ($i > $o) > $i > $i).
% 0.17/0.41 thf(func_def_383, type, sK243: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_384, type, sK244: $i > $o).
% 0.17/0.41 thf(func_def_386, type, sK246: $i > $i).
% 0.17/0.41 thf(func_def_388, type, sK248: $i > $o).
% 0.17/0.41 thf(func_def_390, type, sK250: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_391, type, sK251: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_392, type, sK252: $i > $o).
% 0.17/0.41 thf(func_def_398, type, sK258: $i > $i).
% 0.17/0.41 thf(func_def_402, type, sK262: $i > $i > $i).
% 0.17/0.41 thf(func_def_412, type, sK272: $i > $o).
% 0.17/0.41 thf(func_def_414, type, sK274: $i > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_415, type, sK275: $i > $o).
% 0.17/0.41 thf(func_def_416, type, sK276: $i > $o).
% 0.17/0.41 thf(func_def_417, type, sK277: ($i > $o) > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_418, type, sK278: ($i > $o) > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_421, type, sK281: $i > $o).
% 0.17/0.41 thf(func_def_422, type, sK282: $i > $i).
% 0.17/0.41 thf(func_def_423, type, sK283: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_428, type, sK288: $i > $i > $i).
% 0.17/0.41 thf(func_def_432, type, sK292: $i > $i).
% 0.17/0.41 thf(func_def_434, type, sK294: $i > $o).
% 0.17/0.41 thf(func_def_442, type, sK302: $i > $o).
% 0.17/0.41 thf(func_def_444, type, ph304: !>[X0: $tType]:(X0)).
% 0.17/0.41 thf(f2474,plain,(
% 0.17/0.41 $false),
% 0.17/0.41 inference(subsumption_resolution,[],[f2471,f1233])).
% 0.17/0.41 thf(f1233,plain,(
% 0.17/0.41 ($true != (subset @ sK96 @ sK95))),
% 0.17/0.41 inference(cnf_transformation,[],[f641])).
% 0.17/0.41 thf(f641,plain,(
% 0.17/0.41 (notsubsetI = $true) & (subsetE2 = $true) & (binintersectSubset5 = $true) & (binunionEcases = $true) & (dsetconstrI = $true) & (setextsub = $true) & (prop2setI = $true) & (binunionIL = $true) & (setadjoin__Cong = $true) & (exuI2 = $true) & (($true != (subset @ sK96 @ sK95)) & (sK96 = (binintersect @ sK95 @ sK96))) & (eqimpsubset2 = $true) & (emptysetE = $true) & (subset2powerset = $true) & (sepInPowerset = $true) & (subsetE = $true) & (emptyinunitempty = $true) & (notequalI1 = $true) & (wellorderingAx = $true) & (dsetconstr__Cong = $true) & (dsetconstrER = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (setadjoinSub = $true) & (notdexE = $true) & (upairsetE = $true) & (setbeta = $true) & (powersetsubset = $true) & (exuEu = $true) & (subsetemptysetimpeq = $true) & (inPowerset = $true) & (emptysetsubset = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (binintersectLsub = $true) & (exuI1 = $true) & (prop2set2propI = $true) & (powersetE1 = $true) & (subsetI2 = $true) & (setunionE = $true) & (quantDeMorgan4 = $true) & (notdallE = $true) & (omega__Cong = $true) & (emptyinPowerset = $true) & (nonemptyE1 = $true) & (powersetI1 = $true) & (emptyE1 = $true) & (exuE2 = $true) & (inCongP = $true) & (binunionRsub = $true) & (descr__Cong = $true) & (nonemptyI1 = $true) & (powersetE = $true) & (prop2setE = $true) & (omega0Ax = $true) & (quantDeMorgan1 = $true) & (binunionLsub = $true) & (setadjoinAx = $true) & (setext = $true) & (setadjoinOr = $true) & (in__Cong = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (setunionAx = $true) & (dsetconstrEL = $true) & (setunion__Cong = $true) & (replAx = $true) & (emptyI = $true) & (setextAx = $true) & (noeltsimpempty = $true) & (setadjoinE = $true) & (upairset2IR = $true) & (sepSubset = $true) & (notequalI2 = $true) & (powersetI = $true) & (foundationAx = $true) & (setadjoinSub2 = $true) & (nonemptyI = $true) & (exuE1 = $true) & (upairsetIL = $true) & (setunionI = $true) & (powerset__Cong = $true) & (singletonsswitch = $true) & (exu__Cong = $true) & (notinsingleton = $true) & (binunionE = $true) & (eqinunit = $true) & (omegaSAx = $true) & (uniqinunit = $true) & (emptysetAx = $true) & (subsetRefl = $true) & (vacuousDall = $true) & (binintersectI = $true) & (quantDeMorgan2 = $true) & (binintersectSubset2 = $true) & (emptysetimpfalse = $true) & (binunionIR = $true) & (setoftrueEq = $true) & (notinemptyset = $true) & (quantDeMorgan3 = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (subsetI1 = $true) & (binintersectEL = $true) & (eqimpsubset1 = $true) & (emptyInPowerset = $true) & (descrp = $true) & (subsetTrans = $true) & (powersetAx = $true) & (exuI3 = $true) & (omegaIndAx = $true)),
% 0.17/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK95,sK96])],[f404,f640])).
% 0.17/0.41 thf(f640,plain,(
% 0.17/0.41 ? [X0,X1] : (($true != (subset @ X1 @ X0)) & ((binintersect @ X0 @ X1) = X1)) => (($true != (subset @ sK96 @ sK95)) & (sK96 = (binintersect @ sK95 @ sK96)))),
% 0.17/0.41 introduced(choice_axiom,[])).
% 0.17/0.41 thf(f404,plain,(
% 0.17/0.41 (notsubsetI = $true) & (subsetE2 = $true) & (binintersectSubset5 = $true) & (binunionEcases = $true) & (dsetconstrI = $true) & (setextsub = $true) & (prop2setI = $true) & (binunionIL = $true) & (setadjoin__Cong = $true) & (exuI2 = $true) & ? [X0,X1] : (($true != (subset @ X1 @ X0)) & ((binintersect @ X0 @ X1) = X1)) & (eqimpsubset2 = $true) & (emptysetE = $true) & (subset2powerset = $true) & (sepInPowerset = $true) & (subsetE = $true) & (emptyinunitempty = $true) & (notequalI1 = $true) & (wellorderingAx = $true) & (dsetconstr__Cong = $true) & (dsetconstrER = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (setadjoinSub = $true) & (notdexE = $true) & (upairsetE = $true) & (setbeta = $true) & (powersetsubset = $true) & (exuEu = $true) & (subsetemptysetimpeq = $true) & (inPowerset = $true) & (emptysetsubset = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (binintersectLsub = $true) & (exuI1 = $true) & (prop2set2propI = $true) & (powersetE1 = $true) & (subsetI2 = $true) & (setunionE = $true) & (quantDeMorgan4 = $true) & (notdallE = $true) & (omega__Cong = $true) & (emptyinPowerset = $true) & (nonemptyE1 = $true) & (powersetI1 = $true) & (emptyE1 = $true) & (exuE2 = $true) & (inCongP = $true) & (binunionRsub = $true) & (descr__Cong = $true) & (nonemptyI1 = $true) & (powersetE = $true) & (prop2setE = $true) & (omega0Ax = $true) & (quantDeMorgan1 = $true) & (binunionLsub = $true) & (setadjoinAx = $true) & (setext = $true) & (setadjoinOr = $true) & (in__Cong = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (setunionAx = $true) & (dsetconstrEL = $true) & (setunion__Cong = $true) & (replAx = $true) & (emptyI = $true) & (setextAx = $true) & (noeltsimpempty = $true) & (setadjoinE = $true) & (upairset2IR = $true) & (sepSubset = $true) & (notequalI2 = $true) & (powersetI = $true) & (foundationAx = $true) & (setadjoinSub2 = $true) & (nonemptyI = $true) & (exuE1 = $true) & (upairsetIL = $true) & (setunionI = $true) & (powerset__Cong = $true) & (singletonsswitch = $true) & (exu__Cong = $true) & (notinsingleton = $true) & (binunionE = $true) & (eqinunit = $true) & (omegaSAx = $true) & (uniqinunit = $true) & (emptysetAx = $true) & (subsetRefl = $true) & (vacuousDall = $true) & (binintersectI = $true) & (quantDeMorgan2 = $true) & (binintersectSubset2 = $true) & (emptysetimpfalse = $true) & (binunionIR = $true) & (setoftrueEq = $true) & (notinemptyset = $true) & (quantDeMorgan3 = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (subsetI1 = $true) & (binintersectEL = $true) & (eqimpsubset1 = $true) & (emptyInPowerset = $true) & (descrp = $true) & (subsetTrans = $true) & (powersetAx = $true) & (exuI3 = $true) & (omegaIndAx = $true)),
% 0.17/0.41 inference(flattening,[],[f403])).
% 0.17/0.41 thf(f403,plain,(
% 0.17/0.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (($true != (subset @ X1 @ X0)) & ((binintersect @ X0 @ X1) = X1)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.17/0.41 inference(ennf_transformation,[],[f299])).
% 0.17/0.41 thf(f299,plain,(
% 0.17/0.41 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ! [X0,X1] : (((binintersect @ X0 @ X1) = X1) => ($true = (subset @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(fool_elimination,[],[f298])).
% 0.17/0.41 thf(f298,plain,(
% 0.17/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => ! [X0,X1] : (((binintersect @ X0 @ X1) = X1) => (subset @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(rectify,[],[f115])).
% 0.17/0.41 thf(f115,negated_conjecture,(
% 0.17/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => ! [X3,X4] : (((binintersect @ X3 @ X4) = X4) => (subset @ X4 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(negated_conjecture,[],[f114])).
% 0.17/0.41 thf(f114,conjecture,(
% 0.17/0.41 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => ! [X3,X4] : (((binintersect @ X3 @ X4) = X4) => (subset @ X4 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectSubset3)).
% 0.17/0.41 thf(f2471,plain,(
% 0.17/0.41 ($true = (subset @ sK96 @ sK95))),
% 0.17/0.41 inference(superposition,[],[f2118,f1232])).
% 0.17/0.41 thf(f1232,plain,(
% 0.17/0.41 (sK96 = (binintersect @ sK95 @ sK96))),
% 0.17/0.41 inference(cnf_transformation,[],[f641])).
% 0.17/0.41 thf(f2118,plain,(
% 0.17/0.41 ( ! [X2 : $i,X3 : $i] : (((subset @ (binintersect @ X3 @ X2) @ X3) = $true)) )),
% 0.17/0.41 inference(trivial_inequality_removal,[],[f1919])).
% 0.17/0.41 thf(f1919,plain,(
% 0.17/0.41 ( ! [X2 : $i,X3 : $i] : (($true != $true) | ((subset @ (binintersect @ X3 @ X2) @ X3) = $true)) )),
% 0.17/0.41 inference(definition_unfolding,[],[f1522,f1208])).
% 0.17/0.41 thf(f1208,plain,(
% 0.17/0.41 (binintersectLsub = $true)),
% 0.17/0.41 inference(cnf_transformation,[],[f641])).
% 0.17/0.41 thf(f1522,plain,(
% 0.17/0.41 ( ! [X2 : $i,X3 : $i] : (((subset @ (binintersect @ X3 @ X2) @ X3) = $true) | (binintersectLsub != $true)) )),
% 0.17/0.41 inference(cnf_transformation,[],[f969])).
% 0.17/0.41 thf(f969,plain,(
% 0.17/0.41 ((binintersectLsub = $true) | ($true != (subset @ (binintersect @ sK285 @ sK284) @ sK285))) & (! [X2,X3] : ((subset @ (binintersect @ X3 @ X2) @ X3) = $true) | (binintersectLsub != $true))),
% 0.17/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK284,sK285])],[f967,f968])).
% 0.17/0.41 thf(f968,plain,(
% 0.17/0.41 ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1)) => ($true != (subset @ (binintersect @ sK285 @ sK284) @ sK285))),
% 0.17/0.41 introduced(choice_axiom,[])).
% 0.17/0.41 thf(f967,plain,(
% 0.17/0.41 ((binintersectLsub = $true) | ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1))) & (! [X2,X3] : ((subset @ (binintersect @ X3 @ X2) @ X3) = $true) | (binintersectLsub != $true))),
% 0.17/0.41 inference(rectify,[],[f966])).
% 0.17/0.41 thf(f966,plain,(
% 0.17/0.41 ((binintersectLsub = $true) | ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1))) & (! [X0,X1] : ($true = (subset @ (binintersect @ X1 @ X0) @ X1)) | (binintersectLsub != $true))),
% 0.17/0.41 inference(nnf_transformation,[],[f332])).
% 0.17/0.41 thf(f332,plain,(
% 0.17/0.41 (binintersectLsub = $true) <=> ! [X0,X1] : ($true = (subset @ (binintersect @ X1 @ X0) @ X1))),
% 0.17/0.41 inference(fool_elimination,[],[f331])).
% 0.17/0.41 thf(f331,plain,(
% 0.17/0.41 (! [X0,X1] : (subset @ (binintersect @ X1 @ X0) @ X1) = binintersectLsub)),
% 0.17/0.41 inference(rectify,[],[f112])).
% 0.17/0.41 thf(f112,axiom,(
% 0.17/0.41 (! [X4,X3] : (subset @ (binintersect @ X3 @ X4) @ X3) = binintersectLsub)),
% 0.17/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectLsub)).
% 0.17/0.41 % SZS output end Proof for theBenchmark
% 0.17/0.41 % (7155)------------------------------
% 0.17/0.41 % (7155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (7155)Termination reason: Refutation
% 0.17/0.41
% 0.17/0.41 % (7155)Memory used [KB]: 7675
% 0.17/0.41 % (7155)Time elapsed: 0.073 s
% 0.17/0.41 % (7155)Instructions burned: 170 (million)
% 0.17/0.41 % (7155)------------------------------
% 0.17/0.41 % (7155)------------------------------
% 0.17/0.41 % (7149)Success in time 0.09 s
%------------------------------------------------------------------------------