%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU577^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yazceyCOWP true
% Computer : n024.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 Aug 31 19:14:04 EDT 2023
% Result : Theorem 0.59s 0.85s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 153
% Syntax : Number of formulae : 164 ( 50 unt; 103 typ; 0 def)
% Number of atoms : 676 ( 81 equ; 0 cnn)
% Maximal formula atoms : 123 ( 11 avg)
% Number of connectives : 1129 ( 36 ~; 7 |; 0 &; 570 @)
% ( 6 <=>; 510 =>; 0 <=; 0 <~>)
% Maximal formula depth : 100 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 104 ( 102 usr; 97 con; 0-3 aty)
% Number of variables : 275 ( 0 ^; 275 !; 0 ?; 275 :)
% 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(setoftrueEq_type,type,
setoftrueEq: $o ).
thf(emptyset__Cong_type,type,
emptyset__Cong: $o ).
thf(setext_type,type,
setext: $o ).
thf(emptyinPowerset_type,type,
emptyinPowerset: $o ).
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(setadjoin__Cong_type,type,
setadjoin__Cong: $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(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(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(sk__54_type,type,
sk__54: $i ).
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(subsetE2_type,type,
subsetE2: $o ).
thf(singletonsswitch_type,type,
singletonsswitch: $o ).
thf(setextsub_type,type,
setextsub: $o ).
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(setadjoinE_type,type,
setadjoinE: $o ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(sk__55_type,type,
sk__55: $i ).
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(noeltsimpempty_type,type,
noeltsimpempty: $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(setadjoinOr_type,type,
setadjoinOr: $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(sk__56_type,type,
sk__56: $i > $i > $i ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $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(nonemptyI_type,type,
nonemptyI: $o ).
thf(exuE3u_type,type,
exuE3u: $o ).
thf(eqimpsubset1_type,type,
eqimpsubset1: $o ).
thf(exuI3_type,type,
exuI3: $o ).
thf(notdallE_type,type,
notdallE: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
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(subset_type,type,
subset: $i > $i > $o ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(subset2powerset_type,type,
subset2powerset: $o ).
thf(powersetI1,axiom,
( powersetI1
= ( ! [A: $i,B: $i] :
( ( subset @ B @ A )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('0',plain,
( powersetI1
= ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ X4 )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetemptysetimpeq,axiom,
( subsetemptysetimpeq
= ( ! [A: $i] :
( ( subset @ A @ emptyset )
=> ( A = emptyset ) ) ) ) ).
thf('1',plain,
( subsetemptysetimpeq
= ( ! [X4: $i] :
( ( subset @ X4 @ emptyset )
=> ( X4 = emptyset ) ) ) ),
define([status(thm)]) ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('2',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subset2powerset,axiom,
( subset2powerset
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( in @ A @ ( powerset @ B ) ) ) ) ) ).
thf('3',plain,
( subset2powerset
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( in @ X4 @ ( powerset @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinSub2,axiom,
( setadjoinSub2
= ( ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
thf('4',plain,
( setadjoinSub2
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X8 )
=> ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinSub,axiom,
( setadjoinSub
= ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
thf('5',plain,
( setadjoinSub
= ( ! [X4: $i,X6: $i] : ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subsetTrans,axiom,
( subsetTrans
= ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ C )
=> ( subset @ A @ C ) ) ) ) ) ).
thf('6',plain,
( subsetTrans
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X8 )
=> ( subset @ X4 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetRefl,axiom,
( subsetRefl
= ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
thf('7',plain,
( subsetRefl
= ( ! [X4: $i] : ( subset @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(notequalI1,axiom,
( notequalI1
= ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) ) ) ) ).
thf('8',plain,
( notequalI1
= ( ! [X4: $i,X6: $i] :
( ~ ( subset @ X4 @ X6 )
=> ( X4 != X6 ) ) ) ),
define([status(thm)]) ).
thf(notsubsetI,axiom,
( notsubsetI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ~ ( subset @ A @ B ) ) ) ) ) ).
thf('9',plain,
( notsubsetI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ~ ( subset @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetE2,axiom,
( subsetE2
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) ) ) ).
thf('10',plain,
( subsetE2
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ~ ( in @ X8 @ X6 )
=> ~ ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('11',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(emptysetsubset,axiom,
( emptysetsubset
= ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
thf('12',plain,
( emptysetsubset
= ( ! [X4: $i] : ( subset @ emptyset @ X4 ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('13',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(eqimpsubset1,axiom,
( eqimpsubset1
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) ) ) ).
thf('14',plain,
( eqimpsubset1
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(eqimpsubset2,axiom,
( eqimpsubset2
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) ) ) ).
thf('15',plain,
( eqimpsubset2
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( subset @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('16',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(powerset__Cong,axiom,
( powerset__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) ) ) ).
thf('17',plain,
( powerset__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( powerset @ X4 )
= ( powerset @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('18',plain,
( powersetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(emptyInPowerset,axiom,
( emptyInPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
thf('19',plain,
( emptyInPowerset
= ( ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ) ),
define([status(thm)]) ).
thf(emptyinPowerset,axiom,
( emptyinPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
thf('20',plain,
( emptyinPowerset
= ( ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('21',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetAx,axiom,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('22',plain,
( powersetAx
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetE1,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
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( subset @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ( ! [X16: $i] : ( in @ emptyset @ ( powerset @ X16 ) )
=> ( ! [X18: $i] : ( in @ emptyset @ ( powerset @ X18 ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ X20 ) ) )
=> ( 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
=> ( ! [X26: $i,X28: $i] :
( ( X26 = X28 )
=> ( ( powerset @ X26 )
= ( powerset @ X28 ) ) )
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( ! [X30: $i,X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( in @ X34 @ X32 ) )
=> ( subset @ X30 @ X32 ) )
=> ( ! [X36: $i,X38: $i] :
( ( X36 = X38 )
=> ( subset @ X38 @ X36 ) )
=> ( ! [X40: $i,X42: $i] :
( ( X40 = X42 )
=> ( subset @ X40 @ X42 ) )
=> ( ! [X44: $i,X46: $i] :
( ! [X48: $i] :
( ( in @ X48 @ X44 )
=> ( in @ X48 @ X46 ) )
=> ( subset @ X44 @ X46 ) )
=> ( ! [X50: $i] : ( subset @ emptyset @ X50 )
=> ( ! [X52: $i,X54: $i,X56: $i] :
( ( subset @ X52 @ X54 )
=> ( ( in @ X56 @ X52 )
=> ( in @ X56 @ X54 ) ) )
=> ( ! [X58: $i,X60: $i,X62: $i] :
( ( subset @ X58 @ X60 )
=> ( ~ ( in @ X62 @ X60 )
=> ~ ( in @ X62 @ X58 ) ) )
=> ( ! [X64: $i,X66: $i,X68: $i] :
( ( in @ X68 @ X64 )
=> ( ~ ( in @ X68 @ X66 )
=> ~ ( subset @ X64 @ X66 ) ) )
=> ( ! [X70: $i,X72: $i] :
( ~ ( subset @ X70 @ X72 )
=> ( X70 != X72 ) )
=> ( notequalI2
=> ( ! [X74: $i] : ( subset @ X74 @ X74 )
=> ( ! [X76: $i,X78: $i,X80: $i] :
( ( subset @ X76 @ X78 )
=> ( ( subset @ X78 @ X80 )
=> ( subset @ X76 @ X80 ) ) )
=> ( ! [X82: $i,X84: $i] : ( subset @ X84 @ ( setadjoin @ X82 @ X84 ) )
=> ( ! [X86: $i,X88: $i,X90: $i] :
( ( subset @ X86 @ X90 )
=> ( subset @ X86 @ ( setadjoin @ X88 @ X90 ) ) )
=> ( ! [X92: $i,X94: $i] :
( ( subset @ X92 @ X94 )
=> ( in @ X92 @ ( powerset @ X94 ) ) )
=> ( ! [X96: $i,X98: $i] :
( ( subset @ X96 @ X98 )
=> ( ( subset @ X98 @ X96 )
=> ( X96 = X98 ) ) )
=> ( ! [X100: $i] :
( ( subset @ X100 @ emptyset )
=> ( X100 = emptyset ) )
=> ( ! [X102: $i,X104: $i] :
( ( subset @ X104 @ X102 )
=> ( in @ X104 @ ( powerset @ X102 ) ) )
=> ! [X106: $i,X108: $i] :
( ( in @ X108 @ ( powerset @ X106 ) )
=> ( subset @ X108 @ X106 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X8: $i,X6: $i,X4: $i] :
( ( zip_tseitin_0 @ X8 @ X6 @ X4 )
<=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ).
thf(zf_stmt_3,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] : ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ( ! [X16: $i] : ( in @ emptyset @ ( powerset @ X16 ) )
=> ( ! [X18: $i] : ( in @ emptyset @ ( powerset @ X18 ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ X20 ) ) )
=> ( 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
=> ( ! [X26: $i,X28: $i] :
( ( X26 = X28 )
=> ( ( powerset @ X26 )
= ( powerset @ X28 ) ) )
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( ! [X30: $i,X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( in @ X34 @ X32 ) )
=> ( subset @ X30 @ X32 ) )
=> ( ! [X36: $i,X38: $i] :
( ( X36 = X38 )
=> ( subset @ X38 @ X36 ) )
=> ( ! [X40: $i,X42: $i] :
( ( X40 = X42 )
=> ( subset @ X40 @ X42 ) )
=> ( ! [X44: $i,X46: $i] :
( ! [X48: $i] :
( ( in @ X48 @ X44 )
=> ( in @ X48 @ X46 ) )
=> ( subset @ X44 @ X46 ) )
=> ( ! [X50: $i] : ( subset @ emptyset @ X50 )
=> ( ! [X52: $i,X54: $i,X56: $i] :
( ( subset @ X52 @ X54 )
=> ( ( in @ X56 @ X52 )
=> ( in @ X56 @ X54 ) ) )
=> ( ! [X58: $i,X60: $i,X62: $i] :
( ( subset @ X58 @ X60 )
=> ( ~ ( in @ X62 @ X60 )
=> ~ ( in @ X62 @ X58 ) ) )
=> ( ! [X64: $i,X66: $i,X68: $i] :
( ( in @ X68 @ X64 )
=> ( ~ ( in @ X68 @ X66 )
=> ~ ( subset @ X64 @ X66 ) ) )
=> ( ! [X70: $i,X72: $i] :
( ~ ( subset @ X70 @ X72 )
=> ( X70 != X72 ) )
=> ( notequalI2
=> ( ! [X74: $i] : ( subset @ X74 @ X74 )
=> ( ! [X76: $i,X78: $i,X80: $i] :
( ( subset @ X76 @ X78 )
=> ( ( subset @ X78 @ X80 )
=> ( subset @ X76 @ X80 ) ) )
=> ( ! [X82: $i,X84: $i] : ( subset @ X84 @ ( setadjoin @ X82 @ X84 ) )
=> ( ! [X86: $i,X88: $i,X90: $i] :
( ( subset @ X86 @ X90 )
=> ( subset @ X86 @ ( setadjoin @ X88 @ X90 ) ) )
=> ( ! [X92: $i,X94: $i] :
( ( subset @ X92 @ X94 )
=> ( in @ X92 @ ( powerset @ X94 ) ) )
=> ( ! [X96: $i,X98: $i] :
( ( subset @ X96 @ X98 )
=> ( ( subset @ X98 @ X96 )
=> ( X96 = X98 ) ) )
=> ( ! [X100: $i] :
( ( subset @ X100 @ emptyset )
=> ( X100 = emptyset ) )
=> ( ! [X102: $i,X104: $i] :
( ( subset @ X104 @ X102 )
=> ( in @ X104 @ ( powerset @ X102 ) ) )
=> ! [X106: $i,X108: $i] :
( ( in @ X108 @ ( powerset @ X106 ) )
=> ( subset @ X108 @ X106 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_4,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] : ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) )
=> ( ! [X16: $i] : ( in @ emptyset @ ( powerset @ X16 ) )
=> ( ! [X18: $i] : ( in @ emptyset @ ( powerset @ X18 ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ X20 ) ) )
=> ( 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
=> ( ! [X26: $i,X28: $i] :
( ( X26 = X28 )
=> ( ( powerset @ X26 )
= ( powerset @ X28 ) ) )
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( ! [X30: $i,X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( in @ X34 @ X32 ) )
=> ( subset @ X30 @ X32 ) )
=> ( ! [X36: $i,X38: $i] :
( ( X36 = X38 )
=> ( subset @ X38 @ X36 ) )
=> ( ! [X40: $i,X42: $i] :
( ( X40 = X42 )
=> ( subset @ X40 @ X42 ) )
=> ( ! [X44: $i,X46: $i] :
( ! [X48: $i] :
( ( in @ X48 @ X44 )
=> ( in @ X48 @ X46 ) )
=> ( subset @ X44 @ X46 ) )
=> ( ! [X50: $i] : ( subset @ emptyset @ X50 )
=> ( ! [X52: $i,X54: $i,X56: $i] :
( ( subset @ X52 @ X54 )
=> ( ( in @ X56 @ X52 )
=> ( in @ X56 @ X54 ) ) )
=> ( ! [X58: $i,X60: $i,X62: $i] :
( ( subset @ X58 @ X60 )
=> ( ~ ( in @ X62 @ X60 )
=> ~ ( in @ X62 @ X58 ) ) )
=> ( ! [X64: $i,X66: $i,X68: $i] :
( ( in @ X68 @ X64 )
=> ( ~ ( in @ X68 @ X66 )
=> ~ ( subset @ X64 @ X66 ) ) )
=> ( ! [X70: $i,X72: $i] :
( ~ ( subset @ X70 @ X72 )
=> ( X70 != X72 ) )
=> ( notequalI2
=> ( ! [X74: $i] : ( subset @ X74 @ X74 )
=> ( ! [X76: $i,X78: $i,X80: $i] :
( ( subset @ X76 @ X78 )
=> ( ( subset @ X78 @ X80 )
=> ( subset @ X76 @ X80 ) ) )
=> ( ! [X82: $i,X84: $i] : ( subset @ X84 @ ( setadjoin @ X82 @ X84 ) )
=> ( ! [X86: $i,X88: $i,X90: $i] :
( ( subset @ X86 @ X90 )
=> ( subset @ X86 @ ( setadjoin @ X88 @ X90 ) ) )
=> ( ! [X92: $i,X94: $i] :
( ( subset @ X92 @ X94 )
=> ( in @ X92 @ ( powerset @ X94 ) ) )
=> ( ! [X96: $i,X98: $i] :
( ( subset @ X96 @ X98 )
=> ( ( subset @ X98 @ X96 )
=> ( X96 = X98 ) ) )
=> ( ! [X100: $i] :
( ( subset @ X100 @ emptyset )
=> ( X100 = emptyset ) )
=> ( ! [X102: $i,X104: $i] :
( ( subset @ X104 @ X102 )
=> ( in @ X104 @ ( powerset @ X102 ) ) )
=> ! [X106: $i,X108: $i] :
( ( in @ X108 @ ( powerset @ X106 ) )
=> ( subset @ X108 @ X106 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl52,plain,
~ ( subset @ sk__55 @ sk__54 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl43,plain,
! [X5: $i,X6: $i] :
( ( subset @ X5 @ X6 )
| ~ ( in @ ( sk__56 @ X6 @ X5 ) @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl53,plain,
in @ sk__55 @ ( powerset @ sk__54 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl82,plain,
! [X41: $i,X42: $i,X43: $i] :
( ~ ( in @ X41 @ ( powerset @ X42 ) )
| ( in @ X43 @ X42 )
| ~ ( in @ X43 @ X41 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl286,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__55 )
| ( in @ X0 @ sk__54 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl82]) ).
thf(zip_derived_cl44,plain,
! [X5: $i,X6: $i] :
( ( subset @ X5 @ X6 )
| ( in @ ( sk__56 @ X6 @ X5 ) @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl303,plain,
! [X0: $i] :
( ( in @ ( sk__56 @ X0 @ sk__55 ) @ sk__54 )
| ( subset @ sk__55 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl286,zip_derived_cl44]) ).
thf(zip_derived_cl330,plain,
( ( subset @ sk__55 @ sk__54 )
| ( subset @ sk__55 @ sk__54 ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl303]) ).
thf(zip_derived_cl334,plain,
subset @ sk__55 @ sk__54,
inference(simplify,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl338,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU577^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yazceyCOWP true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 01:30:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.85 % Solved by lams/40_c_ic.sh.
% 0.59/0.85 % done 145 iterations in 0.072s
% 0.59/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.85 % SZS output start Refutation
% See solution above
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 % Terminating...
% 1.65/0.99 % Runner terminated.
% 1.65/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------