%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU633^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:48 AM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 57 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 876 ( 74 equ; 0 cnn)
% Maximal formula atoms : 209 ( 15 avg)
% Number of connectives : 1961 ( 69 ~; 58 |; 199 &;1059 @)
% ( 44 <=>; 532 =>; 0 <=; 0 <~>)
% Maximal formula depth : 239 ( 19 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 180 ( 177 usr; 154 con; 0-4 aty)
% Number of variables : 320 ( 29 ^; 254 !; 37 ?; 320 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_25,type,
setextAx: $o ).
thf(decl_26,type,
emptyset: $i ).
thf(decl_27,type,
emptysetAx: $o ).
thf(decl_28,type,
setadjoin: $i > $i > $i ).
thf(decl_29,type,
setadjoinAx: $o ).
thf(decl_30,type,
powerset: $i > $i ).
thf(decl_31,type,
powersetAx: $o ).
thf(decl_32,type,
setunion: $i > $i ).
thf(decl_33,type,
setunionAx: $o ).
thf(decl_35,type,
omega0Ax: $o ).
thf(decl_36,type,
omegaSAx: $o ).
thf(decl_37,type,
omegaIndAx: $o ).
thf(decl_38,type,
replAx: $o ).
thf(decl_39,type,
foundationAx: $o ).
thf(decl_40,type,
wellorderingAx: $o ).
thf(decl_42,type,
descrp: $o ).
thf(decl_43,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_44,type,
dsetconstrI: $o ).
thf(decl_45,type,
dsetconstrEL: $o ).
thf(decl_46,type,
dsetconstrER: $o ).
thf(decl_47,type,
exuE1: $o ).
thf(decl_49,type,
prop2setE: $o ).
thf(decl_50,type,
emptysetE: $o ).
thf(decl_51,type,
emptysetimpfalse: $o ).
thf(decl_52,type,
notinemptyset: $o ).
thf(decl_53,type,
exuE3e: $o ).
thf(decl_54,type,
setext: $o ).
thf(decl_55,type,
emptyI: $o ).
thf(decl_56,type,
noeltsimpempty: $o ).
thf(decl_57,type,
setbeta: $o ).
thf(decl_58,type,
nonempty: $i > $o ).
thf(decl_59,type,
nonemptyE1: $o ).
thf(decl_60,type,
nonemptyI: $o ).
thf(decl_61,type,
nonemptyI1: $o ).
thf(decl_62,type,
setadjoinIL: $o ).
thf(decl_63,type,
emptyinunitempty: $o ).
thf(decl_64,type,
setadjoinIR: $o ).
thf(decl_65,type,
setadjoinE: $o ).
thf(decl_66,type,
setadjoinOr: $o ).
thf(decl_67,type,
setoftrueEq: $o ).
thf(decl_68,type,
powersetI: $o ).
thf(decl_69,type,
emptyinPowerset: $o ).
thf(decl_70,type,
emptyInPowerset: $o ).
thf(decl_71,type,
powersetE: $o ).
thf(decl_72,type,
setunionI: $o ).
thf(decl_73,type,
setunionE: $o ).
thf(decl_74,type,
subPowSU: $o ).
thf(decl_75,type,
exuE2: $o ).
thf(decl_76,type,
nonemptyImpWitness: $o ).
thf(decl_77,type,
uniqinunit: $o ).
thf(decl_78,type,
notinsingleton: $o ).
thf(decl_79,type,
eqinunit: $o ).
thf(decl_80,type,
singletonsswitch: $o ).
thf(decl_81,type,
upairsetE: $o ).
thf(decl_82,type,
upairsetIL: $o ).
thf(decl_83,type,
upairsetIR: $o ).
thf(decl_84,type,
emptyE1: $o ).
thf(decl_85,type,
vacuousDall: $o ).
thf(decl_86,type,
quantDeMorgan1: $o ).
thf(decl_87,type,
quantDeMorgan2: $o ).
thf(decl_88,type,
quantDeMorgan3: $o ).
thf(decl_89,type,
quantDeMorgan4: $o ).
thf(decl_90,type,
prop2setI: $o ).
thf(decl_92,type,
prop2set2propI: $o ).
thf(decl_93,type,
notdexE: $o ).
thf(decl_94,type,
notdallE: $o ).
thf(decl_95,type,
exuI1: $o ).
thf(decl_96,type,
exuI3: $o ).
thf(decl_97,type,
exuI2: $o ).
thf(decl_98,type,
inCongP: $o ).
thf(decl_99,type,
in__Cong: $o ).
thf(decl_100,type,
exuE3u: $o ).
thf(decl_101,type,
exu__Cong: $o ).
thf(decl_102,type,
emptyset__Cong: $o ).
thf(decl_103,type,
setadjoin__Cong: $o ).
thf(decl_104,type,
powerset__Cong: $o ).
thf(decl_105,type,
setunion__Cong: $o ).
thf(decl_106,type,
omega__Cong: $o ).
thf(decl_107,type,
exuEu: $o ).
thf(decl_108,type,
descr__Cong: $o ).
thf(decl_109,type,
dsetconstr__Cong: $o ).
thf(decl_110,type,
subset: $i > $i > $o ).
thf(decl_113,type,
subsetI1: $o ).
thf(decl_114,type,
eqimpsubset2: $o ).
thf(decl_115,type,
eqimpsubset1: $o ).
thf(decl_116,type,
subsetI2: $o ).
thf(decl_117,type,
emptysetsubset: $o ).
thf(decl_118,type,
subsetE: $o ).
thf(decl_119,type,
subsetE2: $o ).
thf(decl_120,type,
notsubsetI: $o ).
thf(decl_121,type,
notequalI1: $o ).
thf(decl_122,type,
notequalI2: $o ).
thf(decl_123,type,
subsetRefl: $o ).
thf(decl_124,type,
subsetTrans: $o ).
thf(decl_125,type,
setadjoinSub: $o ).
thf(decl_126,type,
setadjoinSub2: $o ).
thf(decl_127,type,
subset2powerset: $o ).
thf(decl_128,type,
setextsub: $o ).
thf(decl_129,type,
subsetemptysetimpeq: $o ).
thf(decl_130,type,
powersetI1: $o ).
thf(decl_131,type,
powersetE1: $o ).
thf(decl_132,type,
inPowerset: $o ).
thf(decl_133,type,
powersetsubset: $o ).
thf(decl_134,type,
sepInPowerset: $o ).
thf(decl_135,type,
sepSubset: $o ).
thf(decl_136,type,
binunion: $i > $i > $i ).
thf(decl_137,type,
binunionIL: $o ).
thf(decl_138,type,
upairset2IR: $o ).
thf(decl_139,type,
binunionIR: $o ).
thf(decl_140,type,
binunionEcases: $o ).
thf(decl_141,type,
binunionE: $o ).
thf(decl_142,type,
binunionLsub: $o ).
thf(decl_143,type,
binunionRsub: $o ).
thf(decl_145,type,
binintersectI: $o ).
thf(decl_146,type,
binintersectSubset5: $o ).
thf(decl_147,type,
binintersectEL: $o ).
thf(decl_148,type,
binintersectLsub: $o ).
thf(decl_149,type,
binintersectSubset2: $o ).
thf(decl_150,type,
binintersectSubset3: $o ).
thf(decl_151,type,
binintersectER: $o ).
thf(decl_152,type,
disjointsetsI1: $o ).
thf(decl_153,type,
binintersectRsub: $o ).
thf(decl_154,type,
binintersectSubset4: $o ).
thf(decl_155,type,
binintersectSubset1: $o ).
thf(decl_156,type,
bs114d: $o ).
thf(decl_159,type,
setminusI: $o ).
thf(decl_160,type,
setminusEL: $o ).
thf(decl_161,type,
setminusER: $o ).
thf(decl_162,type,
setminusSubset2: $o ).
thf(decl_163,type,
setminusERneg: $o ).
thf(decl_164,type,
setminusELneg: $o ).
thf(decl_165,type,
setminusILneg: $o ).
thf(decl_166,type,
setminusIRneg: $o ).
thf(decl_167,type,
setminusLsub: $o ).
thf(decl_168,type,
setminusSubset1: $o ).
thf(decl_170,type,
symdiffE: $o ).
thf(decl_171,type,
symdiffI1: $o ).
thf(decl_172,type,
symdiffI2: $o ).
thf(decl_173,type,
symdiffIneg1: $o ).
thf(decl_174,type,
symdiffIneg2: $o ).
thf(decl_175,type,
iskpair: $i > $o ).
thf(decl_176,type,
secondinupair: $o ).
thf(decl_177,type,
setukpairIL: $o ).
thf(decl_178,type,
setukpairIR: $o ).
thf(decl_179,type,
kpairiskpair: $o ).
thf(decl_180,type,
kpair: $i > $i > $i ).
thf(decl_181,type,
kpairp: $o ).
thf(decl_182,type,
cartprod: $i > $i > $i ).
thf(decl_183,type,
singletonsubset: $o ).
thf(decl_184,type,
singletoninpowerset: $o ).
thf(decl_185,type,
singletoninpowunion: $o ).
thf(decl_186,type,
upairset2E: $o ).
thf(decl_187,type,
upairsubunion: $o ).
thf(decl_188,type,
upairinpowunion: $o ).
thf(decl_189,type,
ubforcartprodlem1: $o ).
thf(decl_190,type,
ubforcartprodlem2: $o ).
thf(decl_191,type,
ubforcartprodlem3: $o ).
thf(decl_192,type,
cartprodpairin: $o ).
thf(decl_193,type,
cartprodmempair1: $o ).
thf(decl_194,type,
cartprodmempair: $o ).
thf(decl_195,type,
esk1_2: $i > $i > $i ).
thf(decl_196,type,
esk2_1: $i > $i ).
thf(decl_197,type,
esk3_3: $i > $i > $o > $i ).
thf(decl_198,type,
esk4_1: $i > $i ).
thf(decl_199,type,
esk5_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_200,type,
esk6_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_201,type,
esk7_2: $i > $i > $i ).
thf(decl_202,type,
esk8_2: $i > $i > $i ).
thf(decl_203,type,
esk9_2: $i > $i > $i ).
thf(decl_204,type,
esk10_2: $i > $i > $i ).
thf(decl_205,type,
esk11_3: $i > $i > $i > $i ).
thf(decl_206,type,
esk12_3: $i > $i > $i > $i ).
thf(decl_207,type,
esk13_3: $i > $i > $i > $i ).
thf(decl_208,type,
esk14_3: $i > $i > $i > $i ).
thf(decl_209,type,
esk15_0: $i ).
thf(decl_210,type,
esk16_0: $i ).
thf(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',nonempty) ).
thf(nonemptyI,axiom,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',nonemptyI) ).
thf(iskpair,axiom,
( iskpair
= ( ^ [X4: $i] :
? [X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
& ? [X3: $i] :
( ( in @ X3 @ ( setunion @ X4 ) )
& ( X4
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',iskpair) ).
thf(setunionE2,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ? [X21: $i] :
( ( in @ X21 @ X4 )
& ( in @ X2 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setunionE2) ).
thf(sepInPowerset,axiom,
( sepInPowerset
<=> ! [X4: $i,X1: $i > $o] :
( in
@ ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
@ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',sepInPowerset) ).
thf(dsetconstr__Cong,axiom,
( dsetconstr__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) ) ) )
=> ( ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
= ( dsetconstr @ X5
@ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',dsetconstr__Cong) ).
thf(emptyE1,axiom,
( emptyE1
<=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ( ( ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
= emptyset )
=> ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',emptyE1) ).
thf(setoftrueEq,axiom,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [X2: $i] : $true )
= X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setoftrueEq) ).
thf(setbeta,axiom,
( setbeta
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
<=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setbeta) ).
thf(dsetconstrER,axiom,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',dsetconstrER) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',dsetconstrEL) ).
thf(dsetconstrI,axiom,
( dsetconstrI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',dsetconstrI) ).
thf(nonemptyImpWitness,axiom,
( nonemptyImpWitness
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',nonemptyImpWitness) ).
thf(nonemptyI1,axiom,
( nonemptyI1
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',nonemptyI1) ).
thf(sepSubset,axiom,
( sepSubset
<=> ! [X4: $i,X1: $i > $o] :
( subset
@ ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
@ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',sepSubset) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',nonemptyE1) ).
thf(cartprodmempair,axiom,
( cartprodmempair
<=> ! [X4: $i,X5: $i,X18: $i] :
( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
=> ( iskpair @ X18 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',cartprodmempair) ).
thf(kpairp,axiom,
( kpairp
<=> ! [X2: $i,X3: $i] : ( iskpair @ ( kpair @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',kpairp) ).
thf(kpairiskpair,axiom,
( kpairiskpair
<=> ! [X2: $i,X3: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',kpairiskpair) ).
thf(cartprodmempair1,axiom,
( cartprodmempair1
<=> ! [X4: $i,X5: $i,X18: $i] :
( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& ? [X3: $i] :
( ( in @ X3 @ X5 )
& ( X18
= ( kpair @ X2 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',cartprodmempair1) ).
thf(cartprodpairin,axiom,
( cartprodpairin
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',cartprodpairin) ).
thf(ubforcartprodlem3,axiom,
( ubforcartprodlem3
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X4 @ X5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',ubforcartprodlem3) ).
thf(setukpairIR,axiom,
( setukpairIR
<=> ! [X2: $i,X3: $i] : ( in @ X3 @ ( setunion @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setukpairIR) ).
thf(setukpairIL,axiom,
( setukpairIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setunion @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setukpairIL) ).
thf(setunion__Cong,axiom,
( setunion__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( ( setunion @ X4 )
= ( setunion @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setunion__Cong) ).
thf(subPowSU,axiom,
( subPowSU
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ ( powerset @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',subPowSU) ).
thf(setunionE,axiom,
( setunionE
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ! [X13: $o] :
( ! [X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> X13 ) )
=> X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setunionE) ).
thf(setunionI,axiom,
( setunionI
<=> ! [X4: $i,X2: $i,X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> ( in @ X2 @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setunionI) ).
thf(setunionAx,axiom,
( setunionAx
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
<=> ? [X5: $i] :
( ( in @ X2 @ X5 )
& ( in @ X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p',setunionAx) ).
thf(c_0_29,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_30,plain,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[nonemptyI]) ).
thf(c_0_31,plain,
( iskpair
= ( ^ [Z0: $i] :
? [X2: $i] :
( ( in @ X2 @ ( setunion @ Z0 ) )
& ? [X3: $i] :
( ( in @ X3 @ ( setunion @ Z0 ) )
& ( Z0
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[iskpair]) ).
thf(c_0_32,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ? [X21: $i] :
( ( in @ X21 @ X4 )
& ( in @ X2 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[setunionE2]) ).
thf(c_0_33,plain,
( sepInPowerset
<=> ! [X4: $i,X1: $i > $o] :
( in
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
@ ( powerset @ X4 ) ) ),
inference(fof_simplification,[status(thm)],[sepInPowerset]) ).
thf(c_0_34,plain,
( dsetconstr__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) ) ) )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= ( dsetconstr @ X5
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstr__Cong]) ).
thf(c_0_35,plain,
( emptyE1
<=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ( ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= emptyset )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[emptyE1]) ).
thf(c_0_36,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_37,plain,
( setbeta
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
<=> ( X1 @ X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[setbeta]) ).
thf(c_0_38,plain,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
=> ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrER]) ).
thf(c_0_39,plain,
( dsetconstrEL
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
=> ( in @ X2 @ X4 ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrEL]) ).
thf(c_0_40,plain,
( dsetconstrI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrI]) ).
thf(c_0_41,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_29]) ).
thf(c_0_42,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_29]) ).
thf(c_0_43,plain,
( nonemptyI
= ( ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
!= emptyset ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_30,c_0_29]) ).
thf(c_0_44,plain,
( sepSubset
<=> ! [X4: $i,X1: $i > $o] :
( subset
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
@ X4 ) ),
inference(fof_simplification,[status(thm)],[sepSubset]) ).
thf(c_0_45,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_29]) ).
thf(c_0_46,axiom,
( cartprodmempair
= ( ! [X4: $i,X5: $i,X18: $i] :
( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
=> ? [X102: $i] :
( ( in @ X102 @ ( setunion @ X18 ) )
& ? [X103: $i] :
( ( in @ X103 @ ( setunion @ X18 ) )
& ( X18
= ( setadjoin @ ( setadjoin @ X102 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X102 @ ( setadjoin @ X103 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[cartprodmempair,c_0_31]) ).
thf(c_0_47,axiom,
( kpairp
= ( ! [X2: $i,X3: $i] :
? [X100: $i] :
( ( in @ X100 @ ( setunion @ ( kpair @ X2 @ X3 ) ) )
& ? [X101: $i] :
( ( in @ X101 @ ( setunion @ ( kpair @ X2 @ X3 ) ) )
& ( ( kpair @ X2 @ X3 )
= ( setadjoin @ ( setadjoin @ X100 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X100 @ ( setadjoin @ X101 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[kpairp,c_0_31]) ).
thf(c_0_48,axiom,
( kpairiskpair
= ( ! [X2: $i,X3: $i] :
? [X98: $i] :
( ( in @ X98 @ ( setunion @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) )
& ? [X99: $i] :
( ( in @ X99 @ ( setunion @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) )
& ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X98 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X98 @ ( setadjoin @ X99 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[kpairiskpair,c_0_31]) ).
thf(c_0_49,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( ! [X104: $i,X105: $i] :
( ( in @ X105 @ ( setunion @ X104 ) )
<=> ? [X106: $i] :
( ( in @ X105 @ X106 )
& ( in @ X106 @ X104 ) ) )
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( ! [X107: $i,X108: $i > $o,X109: $i] :
( ( in @ X109 @ X107 )
=> ( ( X108 @ X109 )
=> ( in @ X109 @ ( dsetconstr @ X107 @ X108 ) ) ) )
=> ( ! [X110: $i,X111: $i > $o,X112: $i] :
( ( in @ X112 @ ( dsetconstr @ X110 @ X111 ) )
=> ( in @ X112 @ X110 ) )
=> ( ! [X113: $i,X114: $i > $o,X115: $i] :
( ( in @ X115 @ ( dsetconstr @ X113 @ X114 ) )
=> ( X114 @ X115 ) )
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( ! [X116: $i,X117: $i > $o,X118: $i] :
( ( in @ X118 @ X116 )
=> ( ( in @ X118 @ ( dsetconstr @ X116 @ X117 ) )
<=> ( X117 @ X118 ) ) )
=> ( ! [X119: $i] :
( ( X119 != emptyset )
=> ? [X120: $i] : ( in @ X120 @ X119 ) )
=> ( ! [X121: $i,X122: $i > $o,X123: $i] :
( ( in @ X123 @ X121 )
=> ( ( X122 @ X123 )
=> ( ( dsetconstr @ X121 @ X122 )
!= emptyset ) ) )
=> ( ! [X124: $i] :
( ? [X125: $i] : ( in @ X125 @ X124 )
=> ( X124 != emptyset ) )
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( ! [X126: $i] :
( ( dsetconstr @ X126
@ ^ [Z0: $i] : $true )
= X126 )
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( ! [X127: $i,X128: $i,X129: $i] :
( ( in @ X128 @ X129 )
=> ( ( in @ X129 @ X127 )
=> ( in @ X128 @ ( setunion @ X127 ) ) ) )
=> ( ! [X130: $i,X131: $i] :
( ( in @ X131 @ ( setunion @ X130 ) )
=> ! [X132: $o] :
( ! [X133: $i] :
( ( in @ X131 @ X133 )
=> ( ( in @ X133 @ X130 )
=> X132 ) )
=> X132 ) )
=> ( ! [X134: $i,X135: $i] :
( ( in @ X135 @ X134 )
=> ( in @ X135 @ ( powerset @ ( setunion @ X134 ) ) ) )
=> ( exuE2
=> ( ! [X136: $i] :
( ( X136 != emptyset )
=> ? [X137: $i] :
( ( in @ X137 @ X136 )
& $true ) )
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( ! [X138: $i,X139: $i > $o] :
( ? [X140: $i] :
( ( in @ X140 @ X138 )
& ( X139 @ X140 ) )
=> ( ( ( dsetconstr @ X138 @ X139 )
= emptyset )
=> ~ $true ) )
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( ! [X141: $i,X142: $i] :
( ( X141 = X142 )
=> ( ( setunion @ X141 )
= ( setunion @ X142 ) ) )
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( ! [X143: $i,X144: $i] :
( ( X143 = X144 )
=> ! [X145: $i > $o,X146: $i > $o] :
( ! [X147: $i] :
( ( in @ X147 @ X143 )
=> ! [X148: $i] :
( ( in @ X148 @ X144 )
=> ( ( X147 = X148 )
=> ( ( X145 @ X147 )
<=> ( X146 @ X148 ) ) ) ) )
=> ( ( dsetconstr @ X143 @ X145 )
= ( dsetconstr @ X144 @ X146 ) ) ) )
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( ! [X149: $i,X150: $i > $o] : ( in @ ( dsetconstr @ X149 @ X150 ) @ ( powerset @ X149 ) )
=> ( ! [X151: $i,X152: $i > $o] : ( subset @ ( dsetconstr @ X151 @ X152 ) @ X151 )
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( ! [X153: $i,X154: $i] : ( in @ X153 @ ( setunion @ ( setadjoin @ ( setadjoin @ X153 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X153 @ ( setadjoin @ X154 @ emptyset ) ) @ emptyset ) ) ) )
=> ( ! [X155: $i,X156: $i] : ( in @ X156 @ ( setunion @ ( setadjoin @ ( setadjoin @ X155 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X155 @ ( setadjoin @ X156 @ emptyset ) ) @ emptyset ) ) ) )
=> ( ! [X157: $i,X158: $i] :
? [X159: $i] :
( ( in @ X159 @ ( setunion @ ( setadjoin @ ( setadjoin @ X157 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X157 @ ( setadjoin @ X158 @ emptyset ) ) @ emptyset ) ) ) )
& ? [X160: $i] :
( ( in @ X160 @ ( setunion @ ( setadjoin @ ( setadjoin @ X157 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X157 @ ( setadjoin @ X158 @ emptyset ) ) @ emptyset ) ) ) )
& ( ( setadjoin @ ( setadjoin @ X157 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X157 @ ( setadjoin @ X158 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X159 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X159 @ ( setadjoin @ X160 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ! [X161: $i,X162: $i] :
? [X163: $i] :
( ( in @ X163 @ ( setunion @ ( kpair @ X161 @ X162 ) ) )
& ? [X164: $i] :
( ( in @ X164 @ ( setunion @ ( kpair @ X161 @ X162 ) ) )
& ( ( kpair @ X161 @ X162 )
= ( setadjoin @ ( setadjoin @ X163 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X163 @ ( setadjoin @ X164 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ! [X165: $i,X166: $i,X167: $i] :
( ( in @ X167 @ X165 )
=> ! [X168: $i] :
( ( in @ X168 @ X166 )
=> ( in @ ( kpair @ X167 @ X168 ) @ ( powerset @ ( powerset @ ( binunion @ X165 @ X166 ) ) ) ) ) )
=> ( ! [X169: $i,X170: $i,X171: $i] :
( ( in @ X171 @ X169 )
=> ! [X172: $i] :
( ( in @ X172 @ X170 )
=> ( in @ ( kpair @ X171 @ X172 ) @ ( cartprod @ X169 @ X170 ) ) ) )
=> ( ! [X173: $i,X174: $i,X175: $i] :
( ( in @ X175 @ ( cartprod @ X173 @ X174 ) )
=> ? [X176: $i] :
( ( in @ X176 @ X173 )
& ? [X177: $i] :
( ( in @ X177 @ X174 )
& ( X175
= ( kpair @ X176 @ X177 ) ) ) ) )
=> ( ! [X178: $i,X179: $i,X180: $i] :
( ( in @ X180 @ ( cartprod @ X178 @ X179 ) )
=> ? [X181: $i] :
( ( in @ X181 @ ( setunion @ X180 ) )
& ? [X182: $i] :
( ( in @ X182 @ ( setunion @ X180 ) )
& ( X180
= ( setadjoin @ ( setadjoin @ X181 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X181 @ ( setadjoin @ X182 @ emptyset ) ) @ emptyset ) ) ) ) ) )
=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ? [X21: $i] :
( ( in @ X21 @ X4 )
& ( in @ X2 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),cartprodmempair1]),cartprodpairin]),ubforcartprodlem3]),c_0_46]),c_0_47]),c_0_48]),setukpairIR]),setukpairIL]),setunion__Cong]),subPowSU]),setunionE]),setunionI]),setunionAx])])]) ).
thf(c_0_50,negated_conjecture,
! [X185: $i,X186: $i,X188: $i,X189: $i,X190: $i,X191: $i,X192: $i > $o,X193: $i,X194: $i,X195: $i > $o,X196: $i,X197: $i,X198: $i > $o,X199: $i,X200: $i,X201: $i > $o,X202: $i,X203: $i,X205: $i,X206: $i > $o,X207: $i,X208: $i,X209: $i,X210: $i,X211: $i,X212: $i,X213: $i,X214: $i,X215: $i,X216: $o,X218: $i,X219: $i,X220: $i,X222: $i,X223: $i > $o,X224: $i,X225: $i,X226: $i,X227: $i,X228: $i,X229: $i > $o,X230: $i > $o,X233: $i,X234: $i > $o,X235: $i,X236: $i > $o,X237: $i,X238: $i,X239: $i,X240: $i,X241: $i,X242: $i,X245: $i,X246: $i,X249: $i,X250: $i,X251: $i,X252: $i,X253: $i,X254: $i,X255: $i,X256: $i,X257: $i,X258: $i,X259: $i,X262: $i,X263: $i,X264: $i,X269: $i] :
( setextAx
& emptysetAx
& setadjoinAx
& powersetAx
& ( ( in @ X186 @ ( esk1_2 @ X185 @ X186 ) )
| ~ ( in @ X186 @ ( setunion @ X185 ) ) )
& ( ( in @ ( esk1_2 @ X185 @ X186 ) @ X185 )
| ~ ( in @ X186 @ ( setunion @ X185 ) ) )
& ( ~ ( in @ X189 @ X190 )
| ~ ( in @ X190 @ X188 )
| ( in @ X189 @ ( setunion @ X188 ) ) )
& omega0Ax
& omegaSAx
& omegaIndAx
& replAx
& foundationAx
& wellorderingAx
& descrp
& ( ~ ( in @ X193 @ X191 )
| ~ ( X192 @ X193 )
| ( in @ X193 @ ( dsetconstr @ X191 @ X192 ) ) )
& ( ~ ( in @ X196 @ ( dsetconstr @ X194 @ X195 ) )
| ( in @ X196 @ X194 ) )
& ( ~ ( in @ X199 @ ( dsetconstr @ X197 @ X198 ) )
| ( X198 @ X199 ) )
& exuE1
& prop2setE
& emptysetE
& emptysetimpfalse
& notinemptyset
& exuE3e
& setext
& emptyI
& noeltsimpempty
& ( ~ ( in @ X202 @ ( dsetconstr @ X200 @ X201 ) )
| ( X201 @ X202 )
| ~ ( in @ X202 @ X200 ) )
& ( ~ ( X201 @ X202 )
| ( in @ X202 @ ( dsetconstr @ X200 @ X201 ) )
| ~ ( in @ X202 @ X200 ) )
& ( ( X203 = emptyset )
| ( in @ ( esk2_1 @ X203 ) @ X203 ) )
& ( ~ ( in @ X207 @ X205 )
| ~ ( X206 @ X207 )
| ( ( dsetconstr @ X205 @ X206 )
!= emptyset ) )
& ( ~ ( in @ X209 @ X208 )
| ( X208 != emptyset ) )
& setadjoinIL
& emptyinunitempty
& setadjoinIR
& setadjoinE
& setadjoinOr
& ( ( dsetconstr @ X210
@ ^ [Z0: $i] : $true )
= X210 )
& powersetI
& emptyinPowerset
& emptyInPowerset
& powersetE
& ( ~ ( in @ X212 @ X213 )
| ~ ( in @ X213 @ X211 )
| ( in @ X212 @ ( setunion @ X211 ) ) )
& ( ( in @ X215 @ ( esk3_3 @ X214 @ X215 @ X216 ) )
| X216
| ~ ( in @ X215 @ ( setunion @ X214 ) ) )
& ( ( in @ ( esk3_3 @ X214 @ X215 @ X216 ) @ X214 )
| X216
| ~ ( in @ X215 @ ( setunion @ X214 ) ) )
& ( ~ X216
| X216
| ~ ( in @ X215 @ ( setunion @ X214 ) ) )
& ( ~ ( in @ X219 @ X218 )
| ( in @ X219 @ ( powerset @ ( setunion @ X218 ) ) ) )
& exuE2
& ( ( in @ ( esk4_1 @ X220 ) @ X220 )
| ( X220 = emptyset ) )
& ( $true
| ( X220 = emptyset ) )
& uniqinunit
& notinsingleton
& eqinunit
& singletonsswitch
& upairsetE
& upairsetIL
& upairsetIR
& ( ~ ( in @ X224 @ X222 )
| ~ ( X223 @ X224 )
| ( ( dsetconstr @ X222 @ X223 )
!= emptyset )
| ~ $true )
& vacuousDall
& quantDeMorgan1
& quantDeMorgan2
& quantDeMorgan3
& quantDeMorgan4
& prop2setI
& prop2set2propI
& notdexE
& notdallE
& exuI1
& exuI3
& exuI2
& inCongP
& in__Cong
& exuE3u
& exu__Cong
& emptyset__Cong
& setadjoin__Cong
& powerset__Cong
& ( ( X225 != X226 )
| ( ( setunion @ X225 )
= ( setunion @ X226 ) ) )
& omega__Cong
& exuEu
& descr__Cong
& ( ( in @ ( esk5_4 @ X227 @ X228 @ X229 @ X230 ) @ X227 )
| ( ( dsetconstr @ X227 @ X229 )
= ( dsetconstr @ X228 @ X230 ) )
| ( X227 != X228 ) )
& ( ( in @ ( esk6_4 @ X227 @ X228 @ X229 @ X230 ) @ X228 )
| ( ( dsetconstr @ X227 @ X229 )
= ( dsetconstr @ X228 @ X230 ) )
| ( X227 != X228 ) )
& ( ( ( esk5_4 @ X227 @ X228 @ X229 @ X230 )
= ( esk6_4 @ X227 @ X228 @ X229 @ X230 ) )
| ( ( dsetconstr @ X227 @ X229 )
= ( dsetconstr @ X228 @ X230 ) )
| ( X227 != X228 ) )
& ( ~ ( X229 @ ( esk5_4 @ X227 @ X228 @ X229 @ X230 ) )
| ~ ( X230 @ ( esk6_4 @ X227 @ X228 @ X229 @ X230 ) )
| ( ( dsetconstr @ X227 @ X229 )
= ( dsetconstr @ X228 @ X230 ) )
| ( X227 != X228 ) )
& ( ( X229 @ ( esk5_4 @ X227 @ X228 @ X229 @ X230 ) )
| ( X230 @ ( esk6_4 @ X227 @ X228 @ X229 @ X230 ) )
| ( ( dsetconstr @ X227 @ X229 )
= ( dsetconstr @ X228 @ X230 ) )
| ( X227 != X228 ) )
& subsetI1
& eqimpsubset2
& eqimpsubset1
& subsetI2
& emptysetsubset
& subsetE
& subsetE2
& notsubsetI
& notequalI1
& notequalI2
& subsetRefl
& subsetTrans
& setadjoinSub
& setadjoinSub2
& subset2powerset
& setextsub
& subsetemptysetimpeq
& powersetI1
& powersetE1
& inPowerset
& powersetsubset
& ( in @ ( dsetconstr @ X233 @ X234 ) @ ( powerset @ X233 ) )
& ( subset @ ( dsetconstr @ X235 @ X236 ) @ X235 )
& binunionIL
& upairset2IR
& binunionIR
& binunionEcases
& binunionE
& binunionLsub
& binunionRsub
& binintersectI
& binintersectSubset5
& binintersectEL
& binintersectLsub
& binintersectSubset2
& binintersectSubset3
& binintersectER
& disjointsetsI1
& binintersectRsub
& binintersectSubset4
& binintersectSubset1
& bs114d
& setminusI
& setminusEL
& setminusER
& setminusSubset2
& setminusERneg
& setminusELneg
& setminusILneg
& setminusIRneg
& setminusLsub
& setminusSubset1
& symdiffE
& symdiffI1
& symdiffI2
& symdiffIneg1
& symdiffIneg2
& secondinupair
& ( in @ X237 @ ( setunion @ ( setadjoin @ ( setadjoin @ X237 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X237 @ ( setadjoin @ X238 @ emptyset ) ) @ emptyset ) ) ) )
& ( in @ X240 @ ( setunion @ ( setadjoin @ ( setadjoin @ X239 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X239 @ ( setadjoin @ X240 @ emptyset ) ) @ emptyset ) ) ) )
& ( in @ ( esk7_2 @ X241 @ X242 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X241 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X241 @ ( setadjoin @ X242 @ emptyset ) ) @ emptyset ) ) ) )
& ( in @ ( esk8_2 @ X241 @ X242 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X241 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X241 @ ( setadjoin @ X242 @ emptyset ) ) @ emptyset ) ) ) )
& ( ( setadjoin @ ( setadjoin @ X241 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X241 @ ( setadjoin @ X242 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( esk7_2 @ X241 @ X242 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( esk7_2 @ X241 @ X242 ) @ ( setadjoin @ ( esk8_2 @ X241 @ X242 ) @ emptyset ) ) @ emptyset ) ) )
& ( in @ ( esk9_2 @ X245 @ X246 ) @ ( setunion @ ( kpair @ X245 @ X246 ) ) )
& ( in @ ( esk10_2 @ X245 @ X246 ) @ ( setunion @ ( kpair @ X245 @ X246 ) ) )
& ( ( kpair @ X245 @ X246 )
= ( setadjoin @ ( setadjoin @ ( esk9_2 @ X245 @ X246 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( esk9_2 @ X245 @ X246 ) @ ( setadjoin @ ( esk10_2 @ X245 @ X246 ) @ emptyset ) ) @ emptyset ) ) )
& singletonsubset
& singletoninpowerset
& singletoninpowunion
& upairset2E
& upairsubunion
& upairinpowunion
& ubforcartprodlem1
& ubforcartprodlem2
& ( ~ ( in @ X251 @ X249 )
| ~ ( in @ X252 @ X250 )
| ( in @ ( kpair @ X251 @ X252 ) @ ( powerset @ ( powerset @ ( binunion @ X249 @ X250 ) ) ) ) )
& ( ~ ( in @ X255 @ X253 )
| ~ ( in @ X256 @ X254 )
| ( in @ ( kpair @ X255 @ X256 ) @ ( cartprod @ X253 @ X254 ) ) )
& ( ( in @ ( esk11_3 @ X257 @ X258 @ X259 ) @ X257 )
| ~ ( in @ X259 @ ( cartprod @ X257 @ X258 ) ) )
& ( ( in @ ( esk12_3 @ X257 @ X258 @ X259 ) @ X258 )
| ~ ( in @ X259 @ ( cartprod @ X257 @ X258 ) ) )
& ( ( X259
= ( kpair @ ( esk11_3 @ X257 @ X258 @ X259 ) @ ( esk12_3 @ X257 @ X258 @ X259 ) ) )
| ~ ( in @ X259 @ ( cartprod @ X257 @ X258 ) ) )
& ( ( in @ ( esk13_3 @ X262 @ X263 @ X264 ) @ ( setunion @ X264 ) )
| ~ ( in @ X264 @ ( cartprod @ X262 @ X263 ) ) )
& ( ( in @ ( esk14_3 @ X262 @ X263 @ X264 ) @ ( setunion @ X264 ) )
| ~ ( in @ X264 @ ( cartprod @ X262 @ X263 ) ) )
& ( ( X264
= ( setadjoin @ ( setadjoin @ ( esk13_3 @ X262 @ X263 @ X264 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( esk13_3 @ X262 @ X263 @ X264 ) @ ( setadjoin @ ( esk14_3 @ X262 @ X263 @ X264 ) @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X264 @ ( cartprod @ X262 @ X263 ) ) )
& ( in @ esk16_0 @ ( setunion @ esk15_0 ) )
& ( ~ ( in @ X269 @ esk15_0 )
| ~ ( in @ esk16_0 @ X269 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])])])]) ).
thf(c_0_51,negated_conjecture,
! [X2: $i] :
( ~ ( in @ X2 @ esk15_0 )
| ~ ( in @ esk16_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk1_2 @ X2 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( setunion @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X2: $i] :
( ~ ( in @ esk16_0 @ ( esk1_2 @ esk15_0 @ X2 ) )
| ~ ( in @ X2 @ ( setunion @ esk15_0 ) ) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_54,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ X2 @ ( esk1_2 @ X3 @ X2 ) )
| ~ ( in @ X2 @ ( setunion @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_55,negated_conjecture,
in @ esk16_0 @ ( setunion @ esk15_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU633^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n014.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 14:00:15 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.SrkEHDQeuX/E---3.1_2707447.p
% 0.22/0.30 % Version: 3.5.1-ho
% 0.22/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.30 % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.30 % Starting ho_unfolding_8 with 300s (1) cores
% 0.22/0.30 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.30 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.30 % Starting new_ho_5 with 300s (1) cores
% 0.22/0.30 % pre_casc_3 with pid 2707463 completed with status 0
% 0.22/0.30 % Result found by pre_casc_3
% 0.22/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.30 % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.22/0.30 % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.22/0.30 % Search class: HGHSM-FFMM32-MHFMMFBN
% 0.22/0.30 % partial match(3): HGHSM-FSLM32-MHFMMSBN
% 0.22/0.30 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.30 % SubtermCWHack with pid 2707469 completed with status 0
% 0.22/0.30 % Result found by SubtermCWHack
% 0.22/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.30 % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.22/0.30 % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.22/0.30 % Search class: HGHSM-FFMM32-MHFMMFBN
% 0.22/0.30 % partial match(3): HGHSM-FSLM32-MHFMMSBN
% 0.22/0.30 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.30 % Preprocessing time : 0.003 s
% 0.22/0.30
% 0.22/0.30 % Proof found!
% 0.22/0.30 % SZS status Theorem
% 0.22/0.30 % SZS output start CNFRefutation
% See solution above
% 0.22/0.30 % Parsed axioms : 326
% 0.22/0.30 % Removed by relevancy pruning/SinE : 296
% 0.22/0.30 % Initial clauses : 172
% 0.22/0.30 % Removed in clause preprocessing : 4
% 0.22/0.30 % Initial clauses in saturation : 168
% 0.22/0.30 % Processed clauses : 152
% 0.22/0.30 % ...of these trivial : 0
% 0.22/0.30 % ...subsumed : 2
% 0.22/0.30 % ...remaining for further processing : 150
% 0.22/0.30 % Other redundant clauses eliminated : 1
% 0.22/0.30 % Clauses deleted for lack of memory : 0
% 0.22/0.30 % Backward-subsumed : 0
% 0.22/0.30 % Backward-rewritten : 1
% 0.22/0.30 % Generated clauses : 32
% 0.22/0.30 % ...of the previous two non-redundant : 30
% 0.22/0.30 % ...aggressively subsumed : 0
% 0.22/0.30 % Contextual simplify-reflections : 0
% 0.22/0.30 % Paramodulations : 31
% 0.22/0.30 % Factorizations : 0
% 0.22/0.30 % NegExts : 0
% 0.22/0.30 % Equation resolutions : 1
% 0.22/0.30 % Disequality decompositions : 0
% 0.22/0.30 % Total rewrite steps : 3
% 0.22/0.30 % ...of those cached : 0
% 0.22/0.30 % Propositional unsat checks : 0
% 0.22/0.30 % Propositional check models : 0
% 0.22/0.30 % Propositional check unsatisfiable : 0
% 0.22/0.30 % Propositional clauses : 0
% 0.22/0.30 % Propositional clauses after purity: 0
% 0.22/0.30 % Propositional unsat core size : 0
% 0.22/0.30 % Propositional preprocessing time : 0.000
% 0.22/0.30 % Propositional encoding time : 0.000
% 0.22/0.30 % Propositional solver time : 0.000
% 0.22/0.30 % Success case prop preproc time : 0.000
% 0.22/0.30 % Success case prop encoding time : 0.000
% 0.22/0.30 % Success case prop solver time : 0.000
% 0.22/0.30 % Current number of processed clauses : 148
% 0.22/0.30 % Positive orientable unit clauses : 133
% 0.22/0.30 % Positive unorientable unit clauses: 0
% 0.22/0.30 % Negative unit clauses : 1
% 0.22/0.30 % Non-unit-clauses : 14
% 0.22/0.30 % Current number of unprocessed clauses: 44
% 0.22/0.30 % ...number of literals in the above : 103
% 0.22/0.30 % Current number of archived formulas : 0
% 0.22/0.30 % Current number of archived clauses : 1
% 0.22/0.30 % Clause-clause subsumption calls (NU) : 26
% 0.22/0.30 % Rec. Clause-clause subsumption calls : 18
% 0.22/0.30 % Non-unit clause-clause subsumptions : 0
% 0.22/0.30 % Unit Clause-clause subsumption calls : 4
% 0.22/0.30 % Rewrite failures with RHS unbound : 0
% 0.22/0.30 % BW rewrite match attempts : 3
% 0.22/0.30 % BW rewrite match successes : 1
% 0.22/0.30 % Condensation attempts : 0
% 0.22/0.30 % Condensation successes : 0
% 0.22/0.30 % Termbank termtop insertions : 13894
% 0.22/0.30 % Search garbage collected termcells : 5362
% 0.22/0.30
% 0.22/0.30 % -------------------------------------------------
% 0.22/0.30 % User time : 0.019 s
% 0.22/0.30 % System time : 0.004 s
% 0.22/0.30 % Total time : 0.023 s
% 0.22/0.30 % Maximum resident set size: 5240 pages
% 0.22/0.30
% 0.22/0.30 % -------------------------------------------------
% 0.22/0.30 % User time : 0.029 s
% 0.22/0.30 % System time : 0.008 s
% 0.22/0.30 % Total time : 0.037 s
% 0.22/0.30 % Maximum resident set size: 5120 pages
% 0.22/0.30 % E exiting
%------------------------------------------------------------------------------