%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU596^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LwCAPDrS8y true
% Computer : n022.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 : Thu Oct 2 04:55:16 PM UTC 2025
% Result : Theorem 0.45s 1.15s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 36
% Syntax : Number of formulae : 49 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 514 ( 70 equ; 0 cnn)
% Maximal formula atoms : 126 ( 10 avg)
% Number of connectives : 738 ( 28 ~; 9 |; 3 &; 305 @)
% ( 0 <=>; 393 =>; 0 <=; 0 <~>)
% Maximal formula depth : 122 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 121 ( 119 usr; 116 con; 0-2 aty)
% Number of variables : 147 ( 0 ^; 144 !; 3 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(notdexE_type,type,
notdexE: $o ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(omegaSAx_type,type,
omegaSAx: $o ).
thf(exuI1_type,type,
exuI1: $o ).
thf(exuI2_type,type,
exuI2: $o ).
thf(notequalI2_type,type,
notequalI2: $o ).
thf(powerset__Cong_type,type,
powerset__Cong: $o ).
thf(wellorderingAx_type,type,
wellorderingAx: $o ).
thf(setadjoinSub2_type,type,
setadjoinSub2: $o ).
thf(binintersectSubset5_type,type,
binintersectSubset5: $o ).
thf(setoftrueEq_type,type,
setoftrueEq: $o ).
thf(emptyset__Cong_type,type,
emptyset__Cong: $o ).
thf(sepInPowerset_type,type,
sepInPowerset: $o ).
thf(binunionE_type,type,
binunionE: $o ).
thf(setext_type,type,
setext: $o ).
thf(emptyinPowerset_type,type,
emptyinPowerset: $o ).
thf(sk__32_type,type,
sk__32: $i ).
thf(descr__Cong_type,type,
descr__Cong: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(quantDeMorgan1_type,type,
quantDeMorgan1: $o ).
thf(setadjoinIR_type,type,
setadjoinIR: $o ).
thf(sk__34_type,type,
sk__34: $i > $i ).
thf(setadjoin__Cong_type,type,
setadjoin__Cong: $o ).
thf(upairset2IR_type,type,
upairset2IR: $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(prop2set2propI_type,type,
prop2set2propI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(setbeta_type,type,
setbeta: $o ).
thf(eqinunit_type,type,
eqinunit: $o ).
thf(upairsetIL_type,type,
upairsetIL: $o ).
thf(powersetI1_type,type,
powersetI1: $o ).
thf(binintersectSubset3_type,type,
binintersectSubset3: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(upairsetIR_type,type,
upairsetIR: $o ).
thf(inCongP_type,type,
inCongP: $o ).
thf(setadjoinSub_type,type,
setadjoinSub: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(binintersectSubset2_type,type,
binintersectSubset2: $o ).
thf(setunionI_type,type,
setunionI: $o ).
thf(setunion__Cong_type,type,
setunion__Cong: $o ).
thf(prop2setI_type,type,
prop2setI: $o ).
thf(nonemptyImpWitness_type,type,
nonemptyImpWitness: $o ).
thf(exuE2_type,type,
exuE2: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(powersetsubset_type,type,
powersetsubset: $o ).
thf(subPowSU_type,type,
subPowSU: $o ).
thf(notequalI1_type,type,
notequalI1: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(nonemptyI1_type,type,
nonemptyI1: $o ).
thf(subsetTrans_type,type,
subsetTrans: $o ).
thf(binunionIL_type,type,
binunionIL: $o ).
thf(subsetE2_type,type,
subsetE2: $o ).
thf(singletonsswitch_type,type,
singletonsswitch: $o ).
thf(setextsub_type,type,
setextsub: $o ).
thf(binunionLsub_type,type,
binunionLsub: $o ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(emptysetsubset_type,type,
emptysetsubset: $o ).
thf(quantDeMorgan3_type,type,
quantDeMorgan3: $o ).
thf(setunionE_type,type,
setunionE: $o ).
thf(emptyinunitempty_type,type,
emptyinunitempty: $o ).
thf(binunionIR_type,type,
binunionIR: $o ).
thf(setadjoinE_type,type,
setadjoinE: $o ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(notinsingleton_type,type,
notinsingleton: $o ).
thf(eqimpsubset2_type,type,
eqimpsubset2: $o ).
thf(exuEu_type,type,
exuEu: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(upairsetE_type,type,
upairsetE: $o ).
thf(omega0Ax_type,type,
omega0Ax: $o ).
thf(notsubsetI_type,type,
notsubsetI: $o ).
thf(quantDeMorgan4_type,type,
quantDeMorgan4: $o ).
thf(setextAx_type,type,
setextAx: $o ).
thf(powersetE1_type,type,
powersetE1: $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(binintersectLsub_type,type,
binintersectLsub: $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(descrp_type,type,
descrp: $o ).
thf(dsetconstr__Cong_type,type,
dsetconstr__Cong: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(emptyI_type,type,
emptyI: $o ).
thf(sk__33_type,type,
sk__33: $i ).
thf(setadjoinOr_type,type,
setadjoinOr: $o ).
thf(binintersectEL_type,type,
binintersectEL: $o ).
thf(emptyE1_type,type,
emptyE1: $o ).
thf(emptyInPowerset_type,type,
emptyInPowerset: $o ).
thf(vacuousDall_type,type,
vacuousDall: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(binintersectI_type,type,
binintersectI: $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(omega__Cong_type,type,
omega__Cong: $o ).
thf(subsetRefl_type,type,
subsetRefl: $o ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(prop2setE_type,type,
prop2setE: $o ).
thf(binunionEcases_type,type,
binunionEcases: $o ).
thf(nonemptyI_type,type,
nonemptyI: $o ).
thf(exuE3u_type,type,
exuE3u: $o ).
thf(sepSubset_type,type,
sepSubset: $o ).
thf(eqimpsubset1_type,type,
eqimpsubset1: $o ).
thf(exuI3_type,type,
exuI3: $o ).
thf(notdallE_type,type,
notdallE: $o ).
thf(binintersectER_type,type,
binintersectER: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(exu__Cong_type,type,
exu__Cong: $o ).
thf(quantDeMorgan2_type,type,
quantDeMorgan2: $o ).
thf(subsetemptysetimpeq_type,type,
subsetemptysetimpeq: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(nonemptyE1_type,type,
nonemptyE1: $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(inPowerset_type,type,
inPowerset: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(binunionRsub_type,type,
binunionRsub: $o ).
thf(subset2powerset_type,type,
subset2powerset: $o ).
thf(binintersectER,axiom,
( binintersectER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ B ) ) ) ) ).
thf('0',plain,
( binintersectER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset3,axiom,
( binintersectSubset3
= ( ! [A: $i,B: $i] :
( ( ( binintersect @ A @ B )
= B )
=> ( subset @ B @ A ) ) ) ) ).
thf('1',plain,
( binintersectSubset3
= ( ! [X4: $i,X6: $i] :
( ( ( binintersect @ X4 @ X6 )
= X6 )
=> ( subset @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset2,axiom,
( binintersectSubset2
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( binintersect @ A @ B )
= A ) ) ) ) ).
thf('2',plain,
( binintersectSubset2
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( binintersect @ X4 @ X6 )
= X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersectLsub,axiom,
( binintersectLsub
= ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
thf('3',plain,
( binintersectLsub
= ( ! [X4: $i,X6: $i] : ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) ) ),
define([status(thm)]) ).
thf(binintersectEL,axiom,
( binintersectEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('4',plain,
( binintersectEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset5,axiom,
( binintersectSubset5
= ( ! [A: $i,B: $i,C: $i] :
( ( subset @ C @ A )
=> ( ( subset @ C @ B )
=> ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('5',plain,
( binintersectSubset5
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ X4 )
=> ( ( subset @ X8 @ X6 )
=> ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectI,axiom,
( binintersectI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('6',plain,
( binintersectI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(subsetemptysetimpeq,axiom,
( subsetemptysetimpeq
= ( ! [A: $i] :
( ( subset @ A @ emptyset )
=> ( A = emptyset ) ) ) ) ).
thf('7',plain,
( subsetemptysetimpeq
= ( ! [X4: $i] :
( ( subset @ X4 @ emptyset )
=> ( X4 = emptyset ) ) ) ),
define([status(thm)]) ).
thf(emptysetsubset,axiom,
( emptysetsubset
= ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
thf('8',plain,
( emptysetsubset
= ( ! [X4: $i] : ( subset @ emptyset @ X4 ) ) ),
define([status(thm)]) ).
thf(emptyset__Cong,axiom,
( emptyset__Cong
= ( emptyset = emptyset ) ) ).
thf('9',plain,
( emptyset__Cong
= ( emptyset = emptyset ) ),
define([status(thm)]) ).
thf(vacuousDall,axiom,
( vacuousDall
= ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) ) ) ).
thf('10',plain,
( vacuousDall
= ( ! [X4: $i > $o,X6: $i] :
( ( in @ X6 @ emptyset )
=> ( X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ) ).
thf('11',plain,
( noeltsimpempty
= ( ! [X4: $i] :
( ! [X6: $i] :
~ ( in @ X6 @ X4 )
=> ( X4 = emptyset ) ) ) ),
define([status(thm)]) ).
thf(emptyI,axiom,
( emptyI
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ) ).
thf('12',plain,
( emptyI
= ( ! [X4: $i] :
( ! [X6: $i] :
~ ( in @ X6 @ X4 )
=> ( X4 = emptyset ) ) ) ),
define([status(thm)]) ).
thf(notinemptyset,axiom,
( notinemptyset
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ) ).
thf('13',plain,
( notinemptyset
= ( ! [X4: $i] :
~ ( in @ X4 @ emptyset ) ) ),
define([status(thm)]) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) ) ) ).
thf('14',plain,
( emptysetimpfalse
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> $false ) ) ),
define([status(thm)]) ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('15',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(emptysetAx,axiom,
( emptysetAx
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ) ).
thf('16',plain,
( emptysetAx
= ( ! [X4: $i] :
~ ( in @ X4 @ emptyset ) ) ),
define([status(thm)]) ).
thf(disjointsetsI1,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
=> ! [A: $i,B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) )
=> ( ( binintersect @ A @ B )
= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( ! [X4: $i] :
~ ( in @ X4 @ emptyset )
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( ! [X6: $i] :
( ( in @ X6 @ emptyset )
=> ! [X8: $o] : X8 )
=> ( ! [X10: $i] :
~ ( in @ X10 @ emptyset )
=> ( ! [X12: $i] :
~ ( in @ X12 @ emptyset )
=> ( exuE3e
=> ( setext
=> ( ! [X14: $i] :
( ! [X16: $i] :
~ ( in @ X16 @ X14 )
=> ( X14 = emptyset ) )
=> ( ! [X18: $i] :
( ! [X20: $i] :
~ ( in @ X20 @ X18 )
=> ( X18 = emptyset ) )
=> ( 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
=> ( ! [X22: $i > $o,X24: $i] :
( ( in @ X24 @ emptyset )
=> ( X22 @ X24 ) )
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( ( emptyset = emptyset )
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( ! [X26: $i] : ( subset @ emptyset @ X26 )
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( ! [X28: $i] :
( ( subset @ X28 @ emptyset )
=> ( X28 = emptyset ) )
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( in @ X34 @ X32 )
=> ( in @ X34 @ ( binintersect @ X30 @ X32 ) ) ) )
=> ( ! [X36: $i,X38: $i,X40: $i] :
( ( subset @ X40 @ X36 )
=> ( ( subset @ X40 @ X38 )
=> ( subset @ X40 @ ( binintersect @ X36 @ X38 ) ) ) )
=> ( ! [X42: $i,X44: $i,X46: $i] :
( ( in @ X46 @ ( binintersect @ X42 @ X44 ) )
=> ( in @ X46 @ X42 ) )
=> ( ! [X48: $i,X50: $i] : ( subset @ ( binintersect @ X48 @ X50 ) @ X48 )
=> ( ! [X52: $i,X54: $i] :
( ( subset @ X52 @ X54 )
=> ( ( binintersect @ X52 @ X54 )
= X52 ) )
=> ( ! [X56: $i,X58: $i] :
( ( ( binintersect @ X56 @ X58 )
= X58 )
=> ( subset @ X58 @ X56 ) )
=> ( ! [X60: $i,X62: $i,X64: $i] :
( ( in @ X64 @ ( binintersect @ X60 @ X62 ) )
=> ( in @ X64 @ X62 ) )
=> ! [X66: $i,X68: $i] :
( ~ ? [X70: $i] :
( ( in @ X70 @ X68 )
& ( in @ X70 @ X66 ) )
=> ( ( binintersect @ X66 @ X68 )
= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( setextAx
=> ( ! [X4: $i] :
~ ( in @ X4 @ emptyset )
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( ! [X6: $i] :
( ( in @ X6 @ emptyset )
=> ! [X8: $o] : X8 )
=> ( ! [X10: $i] :
~ ( in @ X10 @ emptyset )
=> ( ! [X12: $i] :
~ ( in @ X12 @ emptyset )
=> ( exuE3e
=> ( setext
=> ( ! [X14: $i] :
( ! [X16: $i] :
~ ( in @ X16 @ X14 )
=> ( X14 = emptyset ) )
=> ( ! [X18: $i] :
( ! [X20: $i] :
~ ( in @ X20 @ X18 )
=> ( X18 = emptyset ) )
=> ( 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
=> ( ! [X22: $i > $o,X24: $i] :
( ( in @ X24 @ emptyset )
=> ( X22 @ X24 ) )
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( ( emptyset = emptyset )
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( ! [X26: $i] : ( subset @ emptyset @ X26 )
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( ! [X28: $i] :
( ( subset @ X28 @ emptyset )
=> ( X28 = emptyset ) )
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( in @ X34 @ X32 )
=> ( in @ X34 @ ( binintersect @ X30 @ X32 ) ) ) )
=> ( ! [X36: $i,X38: $i,X40: $i] :
( ( subset @ X40 @ X36 )
=> ( ( subset @ X40 @ X38 )
=> ( subset @ X40 @ ( binintersect @ X36 @ X38 ) ) ) )
=> ( ! [X42: $i,X44: $i,X46: $i] :
( ( in @ X46 @ ( binintersect @ X42 @ X44 ) )
=> ( in @ X46 @ X42 ) )
=> ( ! [X48: $i,X50: $i] : ( subset @ ( binintersect @ X48 @ X50 ) @ X48 )
=> ( ! [X52: $i,X54: $i] :
( ( subset @ X52 @ X54 )
=> ( ( binintersect @ X52 @ X54 )
= X52 ) )
=> ( ! [X56: $i,X58: $i] :
( ( ( binintersect @ X56 @ X58 )
= X58 )
=> ( subset @ X58 @ X56 ) )
=> ( ! [X60: $i,X62: $i,X64: $i] :
( ( in @ X64 @ ( binintersect @ X60 @ X62 ) )
=> ( in @ X64 @ X62 ) )
=> ! [X66: $i,X68: $i] :
( ~ ? [X70: $i] :
( ( in @ X70 @ X68 )
& ( in @ X70 @ X66 ) )
=> ( ( binintersect @ X66 @ X68 )
= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X1: $i] :
( ( X1 = emptyset )
| ( in @ ( sk__34 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl60,plain,
! [X15: $i,X16: $i,X17: $i] :
( ( in @ X15 @ X16 )
| ~ ( in @ X15 @ ( binintersect @ X16 @ X17 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= emptyset )
| ( in @ ( sk__34 @ ( binintersect @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl60]) ).
thf(zip_derived_cl11_001,plain,
! [X1: $i] :
( ( X1 = emptyset )
| ( in @ ( sk__34 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl58,plain,
! [X10: $i,X11: $i,X12: $i] :
( ( in @ X10 @ X11 )
| ~ ( in @ X10 @ ( binintersect @ X12 @ X11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= emptyset )
| ( in @ ( sk__34 @ ( binintersect @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl58]) ).
thf(zip_derived_cl57,plain,
! [X9: $i] :
( ~ ( in @ X9 @ sk__33 )
| ~ ( in @ X9 @ sk__32 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] :
( ( ( binintersect @ X0 @ sk__33 )
= emptyset )
| ~ ( in @ ( sk__34 @ ( binintersect @ X0 @ sk__33 ) ) @ sk__32 ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl57]) ).
thf(zip_derived_cl338,plain,
( ( ( binintersect @ sk__32 @ sk__33 )
= emptyset )
| ( ( binintersect @ sk__32 @ sk__33 )
= emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl173]) ).
thf(zip_derived_cl344,plain,
( ( binintersect @ sk__32 @ sk__33 )
= emptyset ),
inference(simplify,[status(thm)],[zip_derived_cl338]) ).
thf(zip_derived_cl56,plain,
( ( binintersect @ sk__32 @ sk__33 )
!= emptyset ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl345,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl344,zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SEU596^1 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LwCAPDrS8y true
% 0.10/0.35 % Computer : n022.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Oct 1 16:14:23 EDT 2025
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Running portfolio for 300 s
% 0.10/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Number of cores: 8
% 0.10/0.36 % Python version: Python 3.6.8
% 0.10/0.36 % Running in HO mode
% 0.43/0.66 % Total configuration time : 828
% 0.43/0.66 % Estimated wc time : 1656
% 0.43/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.84 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.86 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.45/0.90 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.45/0.92 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.45/0.96 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.45/0.97 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.45/0.97 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.45/1.15 % Solved by lams/40_c_ic.sh.
% 0.45/1.15 % done 173 iterations in 0.148s
% 0.45/1.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/1.15 % SZS output start Refutation
% See solution above
% 0.45/1.16
% 0.45/1.16
% 0.45/1.16 % Terminating...
% 2.41/1.32 % Runner terminated.
% 2.41/1.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------