TSTP Solution File: SEU537^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU537^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : Tue May 21 03:28:02 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 148
% Syntax : Number of formulae : 177 ( 18 unt; 91 typ; 0 def)
% Number of atoms : 660 ( 114 equ; 0 cnn)
% Maximal formula atoms : 181 ( 7 avg)
% Number of connectives : 2193 ( 166 ~; 163 |; 150 &;1338 @)
% ( 85 <=>; 291 =>; 0 <=; 0 <~>)
% Maximal formula depth : 214 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 131 ( 131 >; 0 *; 0 +; 0 <<)
% Number of symbols : 94 ( 91 usr; 60 con; 0-3 aty)
% Number of variables : 527 ( 36 ^ 427 !; 64 ?; 527 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
exu: ( $i > $o ) > $o ).
thf(decl_24,type,
setextAx: $o ).
thf(decl_25,type,
emptyset: $i ).
thf(decl_26,type,
emptysetAx: $o ).
thf(decl_27,type,
setadjoin: $i > $i > $i ).
thf(decl_28,type,
setadjoinAx: $o ).
thf(decl_29,type,
powerset: $i > $i ).
thf(decl_30,type,
powersetAx: $o ).
thf(decl_31,type,
setunion: $i > $i ).
thf(decl_32,type,
setunionAx: $o ).
thf(decl_33,type,
omega: $i ).
thf(decl_34,type,
omega0Ax: $o ).
thf(decl_35,type,
omegaSAx: $o ).
thf(decl_36,type,
omegaIndAx: $o ).
thf(decl_37,type,
replAx: $o ).
thf(decl_38,type,
foundationAx: $o ).
thf(decl_39,type,
wellorderingAx: $o ).
thf(decl_41,type,
descrp: $o ).
thf(decl_42,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_43,type,
dsetconstrI: $o ).
thf(decl_44,type,
dsetconstrEL: $o ).
thf(decl_45,type,
dsetconstrER: $o ).
thf(decl_46,type,
exuE1: $o ).
thf(decl_47,type,
prop2set: $o > $i ).
thf(decl_48,type,
prop2setE: $o ).
thf(decl_49,type,
emptysetE: $o ).
thf(decl_50,type,
emptysetimpfalse: $o ).
thf(decl_51,type,
notinemptyset: $o ).
thf(decl_52,type,
exuE3e: $o ).
thf(decl_53,type,
setext: $o ).
thf(decl_54,type,
emptyI: $o ).
thf(decl_55,type,
noeltsimpempty: $o ).
thf(decl_56,type,
setbeta: $o ).
thf(decl_57,type,
nonempty: $i > $o ).
thf(decl_58,type,
nonemptyE1: $o ).
thf(decl_59,type,
nonemptyI: $o ).
thf(decl_60,type,
nonemptyI1: $o ).
thf(decl_61,type,
setadjoinIL: $o ).
thf(decl_62,type,
emptyinunitempty: $o ).
thf(decl_63,type,
setadjoinIR: $o ).
thf(decl_64,type,
setadjoinE: $o ).
thf(decl_65,type,
setadjoinOr: $o ).
thf(decl_66,type,
setoftrueEq: $o ).
thf(decl_67,type,
powersetI: $o ).
thf(decl_68,type,
emptyinPowerset: $o ).
thf(decl_69,type,
emptyInPowerset: $o ).
thf(decl_70,type,
powersetE: $o ).
thf(decl_71,type,
setunionI: $o ).
thf(decl_72,type,
setunionE: $o ).
thf(decl_73,type,
subPowSU: $o ).
thf(decl_74,type,
exuE2: $o ).
thf(decl_75,type,
nonemptyImpWitness: $o ).
thf(decl_76,type,
uniqinunit: $o ).
thf(decl_77,type,
notinsingleton: $o ).
thf(decl_78,type,
eqinunit: $o ).
thf(decl_79,type,
singletonsswitch: $o ).
thf(decl_80,type,
upairsetE: $o ).
thf(decl_81,type,
upairsetIL: $o ).
thf(decl_82,type,
upairsetIR: $o ).
thf(decl_83,type,
emptyE1: $o ).
thf(decl_84,type,
vacuousDall: $o ).
thf(decl_85,type,
quantDeMorgan1: $o ).
thf(decl_86,type,
epred1_0: $o ).
thf(decl_87,type,
esk1_2: $i > $i > $i ).
thf(decl_88,type,
esk2_2: $i > $i > $i ).
thf(decl_89,type,
esk3_2: $i > $i > $i ).
thf(decl_90,type,
esk4_1: $i > $i ).
thf(decl_91,type,
esk5_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_92,type,
esk6_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_93,type,
esk7_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_94,type,
esk8_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_95,type,
esk9_1: $i > $i ).
thf(decl_96,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(decl_97,type,
esk11_1: ( $i > $o ) > $i ).
thf(decl_98,type,
esk12_2: ( $i > $o ) > $i > $i ).
thf(decl_99,type,
esk13_1: ( $i > $o ) > $i ).
thf(decl_100,type,
esk14_2: $i > $i > $i ).
thf(decl_101,type,
esk15_2: $i > $i > $i ).
thf(decl_102,type,
esk16_1: $i > $i ).
thf(decl_103,type,
esk17_1: $i > $i ).
thf(decl_104,type,
esk18_1: $i > $i ).
thf(decl_105,type,
esk19_2: $i > $i > $i ).
thf(decl_106,type,
esk20_3: $i > $i > $o > $i ).
thf(decl_107,type,
esk21_2: ( $i > $o ) > $i > $i ).
thf(decl_108,type,
esk22_1: ( $i > $o ) > $i ).
thf(decl_109,type,
esk23_1: $i > $i ).
thf(decl_110,type,
esk24_2: $i > ( $i > $o ) > $i ).
thf(decl_111,type,
esk25_0: $i ).
thf(decl_112,type,
epred2_0: $i > $o ).
thf(decl_113,type,
esk26_0: $i ).
thf(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).
thf(prop2set,axiom,
( prop2set
= ( ^ [X10: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [X2: $i] : X10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set) ).
thf(exuE3e,axiom,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).
thf(exu,axiom,
( exu
= ( ^ [X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
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/sandbox/benchmark/theBenchmark.p',nonemptyI) ).
thf(exuE2,axiom,
( exuE2
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE2) ).
thf(exuE1,axiom,
( exuE1
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1) ).
thf(replAx,axiom,
( replAx
<=> ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( exu
@ ^ [X3: $i] : ( X6 @ X2 @ X3 ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',replAx) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1) ).
thf(nonemptyImpWitness,axiom,
( nonemptyImpWitness
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyImpWitness) ).
thf(prop2setE,axiom,
( prop2setE
<=> ! [X11: $o,X2: $i] :
( ( in @ X2 @ ( prop2set @ X11 ) )
=> X11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setE) ).
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/sandbox/benchmark/theBenchmark.p',emptyE1) ).
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/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(nonemptyI1,axiom,
( nonemptyI1
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI1) ).
thf(setoftrueEq,axiom,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [X2: $i] : $true )
= X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq) ).
thf(dsetconstrER,axiom,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(quantDeMorgan2,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
=> ! [X4: $i,X1: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ~ ( X1 @ X2 ) )
=> ~ ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan2) ).
thf(quantDeMorgan1,axiom,
( quantDeMorgan1
<=> ! [X4: $i,X1: $i > $o] :
( ~ ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( X1 @ X2 ) )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& ~ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan1) ).
thf(uniqinunit,axiom,
( uniqinunit
<=> ! [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit) ).
thf(notinsingleton,axiom,
( notinsingleton
<=> ! [X2: $i,X3: $i] :
( ( X2 != X3 )
=> ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinsingleton) ).
thf(eqinunit,axiom,
( eqinunit
<=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X12: $o] : X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(singletonsswitch,axiom,
( singletonsswitch
<=> ! [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) )
=> ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletonsswitch) ).
thf(upairsetE,axiom,
( upairsetE
<=> ! [X2: $i,X3: $i,X15: $i] :
( ( in @ X15 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) )
=> ( ( X15 = X2 )
| ( X15 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetE) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ~ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(upairsetIL,axiom,
( upairsetIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL) ).
thf(upairsetIR,axiom,
( upairsetIR
<=> ! [X2: $i,X3: $i] : ( in @ X3 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
thf(notinemptyset,axiom,
( notinemptyset
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).
thf(vacuousDall,axiom,
( vacuousDall
<=> ! [X1: $i > $o,X2: $i] :
( ( in @ X2 @ emptyset )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vacuousDall) ).
thf(setext,axiom,
( setext
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
thf(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(setadjoinIL,axiom,
( setadjoinIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).
thf(emptyinunitempty,axiom,
( emptyinunitempty
<=> ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty) ).
thf(setadjoinIR,axiom,
( setadjoinIR
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ X4 )
=> ( in @ X3 @ ( setadjoin @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIR) ).
thf(setadjoinE,axiom,
( setadjoinE
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
=> ! [X13: $o] :
( ( ( X3 = X2 )
=> X13 )
=> ( ( ( in @ X3 @ X4 )
=> X13 )
=> X13 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinOr,axiom,
( setadjoinOr
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
=> ( ( X3 = X2 )
| ( in @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinOr) ).
thf(powersetI,axiom,
( powersetI
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) )
=> ( in @ X5 @ ( powerset @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
thf(emptyinPowerset,axiom,
( emptyinPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(emptyInPowerset,axiom,
( emptyInPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset) ).
thf(powersetE,axiom,
( powersetE
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
=> ( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE) ).
thf(setunionI,axiom,
( setunionI
<=> ! [X4: $i,X2: $i,X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> ( in @ X2 @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI) ).
thf(setunionE,axiom,
( setunionE
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ! [X14: $o] :
( ! [X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> X14 ) )
=> X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE) ).
thf(subPowSU,axiom,
( subPowSU
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ ( powerset @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU) ).
thf(wellorderingAx,axiom,
( wellorderingAx
<=> ! [X4: $i] :
? [X5: $i] :
( ! [X7: $i] :
( ( in @ X7 @ X5 )
=> ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X4 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X4 )
& ( in @ X3 @ X4 ) )
=> ( ! [X7: $i] :
( ( in @ X7 @ X5 )
=> ( ( in @ X2 @ X7 )
<=> ( in @ X3 @ X7 ) ) )
=> ( X2 = X3 ) ) )
& ! [X7: $i,X8: $i] :
( ( ( in @ X7 @ X5 )
& ( in @ X8 @ X5 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X8 ) )
| ! [X2: $i] :
( ( in @ X2 @ X8 )
=> ( in @ X2 @ X7 ) ) ) )
& ! [X7: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X4 ) )
& ? [X2: $i] : ( in @ X2 @ X7 ) )
=> ? [X8: $i,X2: $i] :
( ( in @ X8 @ X5 )
& ( in @ X2 @ X7 )
& ~ ? [X3: $i] :
( ( in @ X3 @ X8 )
& ( in @ X3 @ X7 ) )
& ! [X9: $i] :
( ( in @ X9 @ X5 )
=> ( ! [X3: $i] :
( ( in @ X3 @ X9 )
=> ( in @ X3 @ X8 ) )
| ( in @ X2 @ X9 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellorderingAx) ).
thf(foundationAx,axiom,
( foundationAx
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ? [X5: $i] :
( ( in @ X5 @ X4 )
& ~ ? [X2: $i] :
( ( in @ X2 @ X5 )
& ( in @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',foundationAx) ).
thf(omegaIndAx,axiom,
( omegaIndAx
<=> ! [X4: $i] :
( ( ( in @ emptyset @ X4 )
& ! [X2: $i] :
( ( ( in @ X2 @ omega )
& ( in @ X2 @ X4 ) )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ X4 ) ) )
=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaIndAx) ).
thf(omegaSAx,axiom,
( omegaSAx
<=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaSAx) ).
thf(omega0Ax,axiom,
( omega0Ax
<=> ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).
thf(setunionAx,axiom,
( setunionAx
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
<=> ? [X5: $i] :
( ( in @ X2 @ X5 )
& ( in @ X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionAx) ).
thf(powersetAx,axiom,
( powersetAx
<=> ! [X4: $i,X5: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
<=> ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx) ).
thf(setadjoinAx,axiom,
( setadjoinAx
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
<=> ( ( X3 = X2 )
| ( in @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx) ).
thf(emptysetAx,axiom,
( emptysetAx
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx) ).
thf(setextAx,axiom,
( setextAx
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
<=> ( in @ X2 @ X5 ) )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx) ).
thf(c_0_56,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_57,plain,
( prop2set
= ( ^ [Z0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z1: $i] : Z0 ) ) ),
inference(fof_simplification,[status(thm)],[prop2set]) ).
thf(c_0_58,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_59,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_60,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_61,plain,
( exuE2
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[exuE2]) ).
thf(c_0_62,plain,
( exuE1
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exuE1]) ).
thf(c_0_63,plain,
( replAx
<=> ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( exu
@ ^ [Z0: $i] : ( X6 @ X2 @ Z0 ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[replAx]) ).
thf(c_0_64,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_56]) ).
thf(c_0_65,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_56]) ).
thf(c_0_66,axiom,
( prop2setE
= ( ! [X11: $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X11 ) )
=> X11 ) ) ),
inference(apply_def,[status(thm)],[prop2setE,c_0_57]) ).
thf(c_0_67,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_68,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X167: $i] :
( ( X1 @ X167 )
& ! [X168: $i] :
( ( X1 @ X168 )
=> ( X167 = X168 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_69,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_70,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_60,c_0_56]) ).
thf(c_0_71,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_56]) ).
thf(c_0_72,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_73,plain,
( exuE2
= ( ! [X1: $i > $o] :
( ? [X169: $i] :
( ( X1 @ X169 )
& ! [X170: $i] :
( ( X1 @ X170 )
=> ( X169 = X170 ) ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_61,c_0_59]) ).
thf(c_0_74,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X165: $i] :
( ( X1 @ X165 )
& ! [X166: $i] :
( ( X1 @ X166 )
=> ( X165 = X166 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_62,c_0_59]) ).
thf(c_0_75,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_76,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_77,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_78,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X163: $i] :
( ( X6 @ X2 @ X163 )
& ! [X164: $i] :
( ( X6 @ X2 @ X164 )
=> ( X163 = X164 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_63,c_0_59]) ).
thf(c_0_79,plain,
( epred1_0
<=> ! [X200: $i] :
? [X201: $i] :
( ! [X202: $i] :
( ( in @ X202 @ X201 )
=> ! [X203: $i] :
( ( in @ X203 @ X202 )
=> ( in @ X203 @ X200 ) ) )
& ! [X204: $i,X205: $i] :
( ( ( in @ X204 @ X200 )
& ( in @ X205 @ X200 ) )
=> ( ! [X206: $i] :
( ( in @ X206 @ X201 )
=> ( ( in @ X204 @ X206 )
<=> ( in @ X205 @ X206 ) ) )
=> ( X204 = X205 ) ) )
& ! [X207: $i,X208: $i] :
( ( ( in @ X207 @ X201 )
& ( in @ X208 @ X201 ) )
=> ( ! [X209: $i] :
( ( in @ X209 @ X207 )
=> ( in @ X209 @ X208 ) )
| ! [X210: $i] :
( ( in @ X210 @ X208 )
=> ( in @ X210 @ X207 ) ) ) )
& ! [X211: $i] :
( ( ! [X212: $i] :
( ( in @ X212 @ X211 )
=> ( in @ X212 @ X200 ) )
& ? [X213: $i] : ( in @ X213 @ X211 ) )
=> ? [X214: $i,X215: $i] :
( ( in @ X214 @ X201 )
& ( in @ X215 @ X211 )
& ~ ? [X216: $i] :
( ( in @ X216 @ X214 )
& ( in @ X216 @ X211 ) )
& ! [X217: $i] :
( ( in @ X217 @ X201 )
=> ( ! [X218: $i] :
( ( in @ X218 @ X217 )
=> ( in @ X218 @ X214 ) )
| ( in @ X215 @ X217 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_80,negated_conjecture,
~ ( ! [X171: $i,X172: $i] :
( ! [X173: $i] :
( ( in @ X173 @ X171 )
<=> ( in @ X173 @ X172 ) )
=> ( X171 = X172 ) )
=> ( ! [X174: $i] :
~ ( in @ X174 @ emptyset )
=> ( ! [X175: $i,X176: $i,X177: $i] :
( ( in @ X177 @ ( setadjoin @ X175 @ X176 ) )
<=> ( ( X177 = X175 )
| ( in @ X177 @ X176 ) ) )
=> ( ! [X178: $i,X179: $i] :
( ( in @ X179 @ ( powerset @ X178 ) )
<=> ! [X180: $i] :
( ( in @ X180 @ X179 )
=> ( in @ X180 @ X178 ) ) )
=> ( ! [X181: $i,X182: $i] :
( ( in @ X182 @ ( setunion @ X181 ) )
<=> ? [X183: $i] :
( ( in @ X182 @ X183 )
& ( in @ X183 @ X181 ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [X184: $i] :
( ( in @ X184 @ omega )
=> ( in @ ( setadjoin @ X184 @ X184 ) @ omega ) )
=> ( ! [X185: $i] :
( ( ( in @ emptyset @ X185 )
& ! [X186: $i] :
( ( ( in @ X186 @ omega )
& ( in @ X186 @ X185 ) )
=> ( in @ ( setadjoin @ X186 @ X186 ) @ X185 ) ) )
=> ! [X187: $i] :
( ( in @ X187 @ omega )
=> ( in @ X187 @ X185 ) ) )
=> ( ! [X188: $i > $i > $o,X189: $i] :
( ! [X190: $i] :
( ( in @ X190 @ X189 )
=> ? [X191: $i] :
( ( X188 @ X190 @ X191 )
& ! [X192: $i] :
( ( X188 @ X190 @ X192 )
=> ( X191 = X192 ) ) ) )
=> ? [X193: $i] :
! [X194: $i] :
( ( in @ X194 @ X193 )
<=> ? [X195: $i] :
( ( in @ X195 @ X189 )
& ( X188 @ X195 @ X194 ) ) ) )
=> ( ! [X196: $i] :
( ? [X197: $i] : ( in @ X197 @ X196 )
=> ? [X198: $i] :
( ( in @ X198 @ X196 )
& ~ ? [X199: $i] :
( ( in @ X199 @ X198 )
& ( in @ X199 @ X196 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X219: $i,X220: $i > $o,X221: $i] :
( ( in @ X221 @ X219 )
=> ( ( X220 @ X221 )
=> ( in @ X221 @ ( dsetconstr @ X219 @ X220 ) ) ) )
=> ( ! [X222: $i,X223: $i > $o,X224: $i] :
( ( in @ X224 @ ( dsetconstr @ X222 @ X223 ) )
=> ( in @ X224 @ X222 ) )
=> ( ! [X225: $i,X226: $i > $o,X227: $i] :
( ( in @ X227 @ ( dsetconstr @ X225 @ X226 ) )
=> ( X226 @ X227 ) )
=> ( ! [X228: $i > $o] :
( ? [X229: $i] :
( ( X228 @ X229 )
& ! [X230: $i] :
( ( X228 @ X230 )
=> ( X229 = X230 ) ) )
=> ? [X231: $i] :
( ( X228 @ X231 )
& ! [X232: $i] :
( ( X228 @ X232 )
=> ( X231 = X232 ) ) ) )
=> ( ! [X233: $o,X234: $i] :
( ( in @ X234
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X233 ) )
=> X233 )
=> ( ! [X235: $i] :
( ( in @ X235 @ emptyset )
=> ! [X236: $o] : X236 )
=> ( ! [X237: $i] :
( ( in @ X237 @ emptyset )
=> ~ $true )
=> ( ! [X238: $i] :
~ ( in @ X238 @ emptyset )
=> ( ! [X239: $i > $o] :
( ? [X240: $i] :
( ( X239 @ X240 )
& ! [X241: $i] :
( ( X239 @ X241 )
=> ( X240 = X241 ) ) )
=> ? [X242: $i] : ( X239 @ X242 ) )
=> ( ! [X243: $i,X244: $i] :
( ! [X245: $i] :
( ( in @ X245 @ X243 )
=> ( in @ X245 @ X244 ) )
=> ( ! [X246: $i] :
( ( in @ X246 @ X244 )
=> ( in @ X246 @ X243 ) )
=> ( X243 = X244 ) ) )
=> ( ! [X247: $i] :
( ! [X248: $i] :
~ ( in @ X248 @ X247 )
=> ( X247 = emptyset ) )
=> ( ! [X249: $i] :
( ! [X250: $i] :
~ ( in @ X250 @ X249 )
=> ( X249 = emptyset ) )
=> ( ! [X251: $i,X252: $i > $o,X253: $i] :
( ( in @ X253 @ X251 )
=> ( ( in @ X253 @ ( dsetconstr @ X251 @ X252 ) )
<=> ( X252 @ X253 ) ) )
=> ( ! [X254: $i] :
( ( X254 != emptyset )
=> ? [X255: $i] : ( in @ X255 @ X254 ) )
=> ( ! [X256: $i,X257: $i > $o,X258: $i] :
( ( in @ X258 @ X256 )
=> ( ( X257 @ X258 )
=> ( ( dsetconstr @ X256 @ X257 )
!= emptyset ) ) )
=> ( ! [X259: $i] :
( ? [X260: $i] : ( in @ X260 @ X259 )
=> ( X259 != emptyset ) )
=> ( ! [X261: $i,X262: $i] : ( in @ X261 @ ( setadjoin @ X261 @ X262 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [X263: $i,X264: $i,X265: $i] :
( ( in @ X265 @ X264 )
=> ( in @ X265 @ ( setadjoin @ X263 @ X264 ) ) )
=> ( ! [X266: $i,X267: $i,X268: $i] :
( ( in @ X268 @ ( setadjoin @ X266 @ X267 ) )
=> ! [X269: $o] :
( ( ( X268 = X266 )
=> X269 )
=> ( ( ( in @ X268 @ X267 )
=> X269 )
=> X269 ) ) )
=> ( ! [X270: $i,X271: $i,X272: $i] :
( ( in @ X272 @ ( setadjoin @ X270 @ X271 ) )
=> ( ( X272 = X270 )
| ( in @ X272 @ X271 ) ) )
=> ( ! [X273: $i] :
( ( dsetconstr @ X273
@ ^ [Z0: $i] : $true )
= X273 )
=> ( ! [X274: $i,X275: $i] :
( ! [X276: $i] :
( ( in @ X276 @ X275 )
=> ( in @ X276 @ X274 ) )
=> ( in @ X275 @ ( powerset @ X274 ) ) )
=> ( ! [X277: $i] : ( in @ emptyset @ ( powerset @ X277 ) )
=> ( ! [X278: $i] : ( in @ emptyset @ ( powerset @ X278 ) )
=> ( ! [X279: $i,X280: $i,X281: $i] :
( ( in @ X280 @ ( powerset @ X279 ) )
=> ( ( in @ X281 @ X280 )
=> ( in @ X281 @ X279 ) ) )
=> ( ! [X282: $i,X283: $i,X284: $i] :
( ( in @ X283 @ X284 )
=> ( ( in @ X284 @ X282 )
=> ( in @ X283 @ ( setunion @ X282 ) ) ) )
=> ( ! [X285: $i,X286: $i] :
( ( in @ X286 @ ( setunion @ X285 ) )
=> ! [X287: $o] :
( ! [X288: $i] :
( ( in @ X286 @ X288 )
=> ( ( in @ X288 @ X285 )
=> X287 ) )
=> X287 ) )
=> ( ! [X289: $i,X290: $i] :
( ( in @ X290 @ X289 )
=> ( in @ X290 @ ( powerset @ ( setunion @ X289 ) ) ) )
=> ( ! [X291: $i > $o] :
( ? [X292: $i] :
( ( X291 @ X292 )
& ! [X293: $i] :
( ( X291 @ X293 )
=> ( X292 = X293 ) ) )
=> ? [X294: $i] :
! [X295: $i] :
( ( X291 @ X295 )
<=> ( X295 = X294 ) ) )
=> ( ! [X296: $i] :
( ( X296 != emptyset )
=> ? [X297: $i] :
( ( in @ X297 @ X296 )
& $true ) )
=> ( ! [X298: $i,X299: $i] :
( ( in @ X298 @ ( setadjoin @ X299 @ emptyset ) )
=> ( X298 = X299 ) )
=> ( ! [X300: $i,X301: $i] :
( ( X300 != X301 )
=> ~ ( in @ X301 @ ( setadjoin @ X300 @ emptyset ) ) )
=> ( ! [X302: $i,X303: $i] :
( ( X302 = X303 )
=> ( in @ X302 @ ( setadjoin @ X303 @ emptyset ) ) )
=> ( ! [X304: $i,X305: $i] :
( ( in @ X304 @ ( setadjoin @ X305 @ emptyset ) )
=> ( in @ X305 @ ( setadjoin @ X304 @ emptyset ) ) )
=> ( ! [X306: $i,X307: $i,X308: $i] :
( ( in @ X308 @ ( setadjoin @ X306 @ ( setadjoin @ X307 @ emptyset ) ) )
=> ( ( X308 = X306 )
| ( X308 = X307 ) ) )
=> ( ! [X309: $i,X310: $i] : ( in @ X309 @ ( setadjoin @ X309 @ ( setadjoin @ X310 @ emptyset ) ) )
=> ( ! [X311: $i,X312: $i] : ( in @ X312 @ ( setadjoin @ X311 @ ( setadjoin @ X312 @ emptyset ) ) )
=> ( ! [X313: $i,X314: $i > $o] :
( ? [X315: $i] :
( ( in @ X315 @ X313 )
& ( X314 @ X315 ) )
=> ( ( ( dsetconstr @ X313 @ X314 )
= emptyset )
=> ~ $true ) )
=> ( ! [X316: $i > $o,X317: $i] :
( ( in @ X317 @ emptyset )
=> ( X316 @ X317 ) )
=> ( ! [X318: $i,X319: $i > $o] :
( ~ ! [X320: $i] :
( ( in @ X320 @ X318 )
=> ( X319 @ X320 ) )
=> ? [X321: $i] :
( ( in @ X321 @ X318 )
& ~ ( X319 @ X321 ) ) )
=> ! [X4: $i,X1: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ~ ( X1 @ X2 ) )
=> ~ ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[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)],[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)],[inference(assume_negation,[status(cth)],[quantDeMorgan2]),c_0_64]),quantDeMorgan1]),c_0_65]),c_0_66]),uniqinunit]),notinsingleton]),eqinunit]),emptysetE]),singletonsswitch]),upairsetE]),emptysetimpfalse]),upairsetIL]),upairsetIR]),notinemptyset]),c_0_67]),vacuousDall]),c_0_68]),setext]),emptyI]),noeltsimpempty]),c_0_69]),c_0_70]),c_0_71]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_72]),powersetI]),emptyinPowerset]),emptyInPowerset]),powersetE]),setunionI]),setunionE]),subPowSU]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),wellorderingAx]),foundationAx]),c_0_78]),omegaIndAx]),omegaSAx]),omega0Ax]),setunionAx]),powersetAx]),setadjoinAx]),emptysetAx]),setextAx])])]),c_0_79]) ).
thf(c_0_81,negated_conjecture,
! [X322: $i,X323: $i,X325: $i,X326: $i,X327: $i,X328: $i,X329: $i,X330: $i,X331: $i,X332: $i,X333: $i,X335: $i,X336: $i,X338: $i,X339: $i,X340: $i,X341: $i,X342: $i,X344: $i,X345: $i > $i > $o,X346: $i,X348: $i,X351: $i,X353: $i,X354: $i,X355: $i,X356: $i,X358: $i,X359: $i,X360: $i > $o,X361: $i,X362: $i,X363: $i > $o,X364: $i,X365: $i,X366: $i > $o,X367: $i,X368: $i > $o,X369: $i,X372: $i,X373: $o,X374: $i,X375: $i,X376: $o,X377: $i,X378: $i,X379: $i > $o,X380: $i,X383: $i,X384: $i,X387: $i,X389: $i,X391: $i,X392: $i > $o,X393: $i,X394: $i,X396: $i,X397: $i > $o,X398: $i,X399: $i,X400: $i,X401: $i,X402: $i,X403: $i,X404: $i,X405: $i,X406: $i,X407: $i,X408: $i,X409: $o,X410: $i,X411: $i,X412: $i,X413: $i,X414: $i,X415: $i,X417: $i,X418: $i,X419: $i,X420: $i,X421: $i,X422: $i,X423: $i,X424: $i,X425: $i,X426: $i,X427: $o,X429: $i,X430: $i,X431: $i > $o,X432: $i,X435: $i,X436: $i,X437: $i,X439: $i,X440: $i,X441: $i,X442: $i,X443: $i,X444: $i,X445: $i,X446: $i,X447: $i,X448: $i,X449: $i,X450: $i,X451: $i,X452: $i,X453: $i,X454: $i,X455: $i > $o,X456: $i,X457: $i > $o,X458: $i,X459: $i,X460: $i > $o,X461: $i,X465: $i] :
( ( ~ ( in @ ( esk1_2 @ X322 @ X323 ) @ X322 )
| ~ ( in @ ( esk1_2 @ X322 @ X323 ) @ X323 )
| ( X322 = X323 ) )
& ( ( in @ ( esk1_2 @ X322 @ X323 ) @ X322 )
| ( in @ ( esk1_2 @ X322 @ X323 ) @ X323 )
| ( X322 = X323 ) )
& ~ ( in @ X325 @ emptyset )
& ( ~ ( in @ X328 @ ( setadjoin @ X326 @ X327 ) )
| ( X328 = X326 )
| ( in @ X328 @ X327 ) )
& ( ( X328 != X326 )
| ( in @ X328 @ ( setadjoin @ X326 @ X327 ) ) )
& ( ~ ( in @ X328 @ X327 )
| ( in @ X328 @ ( setadjoin @ X326 @ X327 ) ) )
& ( ~ ( in @ X330 @ ( powerset @ X329 ) )
| ~ ( in @ X331 @ X330 )
| ( in @ X331 @ X329 ) )
& ( ( in @ ( esk2_2 @ X332 @ X333 ) @ X333 )
| ( in @ X333 @ ( powerset @ X332 ) ) )
& ( ~ ( in @ ( esk2_2 @ X332 @ X333 ) @ X332 )
| ( in @ X333 @ ( powerset @ X332 ) ) )
& ( ( in @ X336 @ ( esk3_2 @ X335 @ X336 ) )
| ~ ( in @ X336 @ ( setunion @ X335 ) ) )
& ( ( in @ ( esk3_2 @ X335 @ X336 ) @ X335 )
| ~ ( in @ X336 @ ( setunion @ X335 ) ) )
& ( ~ ( in @ X339 @ X340 )
| ~ ( in @ X340 @ X338 )
| ( in @ X339 @ ( setunion @ X338 ) ) )
& ( in @ emptyset @ omega )
& ( ~ ( in @ X341 @ omega )
| ( in @ ( setadjoin @ X341 @ X341 ) @ omega ) )
& ( ( in @ ( esk4_1 @ X342 ) @ omega )
| ~ ( in @ emptyset @ X342 )
| ~ ( in @ X344 @ omega )
| ( in @ X344 @ X342 ) )
& ( ( in @ ( esk4_1 @ X342 ) @ X342 )
| ~ ( in @ emptyset @ X342 )
| ~ ( in @ X344 @ omega )
| ( in @ X344 @ X342 ) )
& ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X342 ) @ ( esk4_1 @ X342 ) ) @ X342 )
| ~ ( in @ emptyset @ X342 )
| ~ ( in @ X344 @ omega )
| ( in @ X344 @ X342 ) )
& ( ( in @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X346 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( in @ ( esk5_2 @ X345 @ X346 ) @ X346 ) )
& ( ( X345 @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X351 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( in @ ( esk5_2 @ X345 @ X346 ) @ X346 ) )
& ( ~ ( in @ X354 @ X346 )
| ~ ( X345 @ X354 @ X353 )
| ( in @ X353 @ ( esk7_2 @ X345 @ X346 ) )
| ( in @ ( esk5_2 @ X345 @ X346 ) @ X346 ) )
& ( ( in @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X346 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( X345 @ ( esk5_2 @ X345 @ X346 ) @ ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ( X345 @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X351 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( X345 @ ( esk5_2 @ X345 @ X346 ) @ ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ~ ( in @ X354 @ X346 )
| ~ ( X345 @ X354 @ X353 )
| ( in @ X353 @ ( esk7_2 @ X345 @ X346 ) )
| ( X345 @ ( esk5_2 @ X345 @ X346 ) @ ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ( in @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X346 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( X348
!= ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ( X345 @ ( esk8_3 @ X345 @ X346 @ X351 ) @ X351 )
| ~ ( in @ X351 @ ( esk7_2 @ X345 @ X346 ) )
| ( X348
!= ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ~ ( in @ X354 @ X346 )
| ~ ( X345 @ X354 @ X353 )
| ( in @ X353 @ ( esk7_2 @ X345 @ X346 ) )
| ( X348
!= ( esk6_3 @ X345 @ X346 @ X348 ) )
| ~ ( X345 @ ( esk5_2 @ X345 @ X346 ) @ X348 ) )
& ( ( in @ ( esk9_1 @ X355 ) @ X355 )
| ~ ( in @ X356 @ X355 ) )
& ( ~ ( in @ X358 @ ( esk9_1 @ X355 ) )
| ~ ( in @ X358 @ X355 )
| ~ ( in @ X356 @ X355 ) )
& epred1_0
& descrp
& ( ~ ( in @ X361 @ X359 )
| ~ ( X360 @ X361 )
| ( in @ X361 @ ( dsetconstr @ X359 @ X360 ) ) )
& ( ~ ( in @ X364 @ ( dsetconstr @ X362 @ X363 ) )
| ( in @ X364 @ X362 ) )
& ( ~ ( in @ X367 @ ( dsetconstr @ X365 @ X366 ) )
| ( X366 @ X367 ) )
& ( ( X368 @ ( esk11_1 @ X368 ) )
| ( X368 @ ( esk10_2 @ X368 @ X369 ) )
| ~ ( X368 @ X369 ) )
& ( ~ ( X368 @ X372 )
| ( ( esk11_1 @ X368 )
= X372 )
| ( X368 @ ( esk10_2 @ X368 @ X369 ) )
| ~ ( X368 @ X369 ) )
& ( ( X368 @ ( esk11_1 @ X368 ) )
| ( X369
!= ( esk10_2 @ X368 @ X369 ) )
| ~ ( X368 @ X369 ) )
& ( ~ ( X368 @ X372 )
| ( ( esk11_1 @ X368 )
= X372 )
| ( X369
!= ( esk10_2 @ X368 @ X369 ) )
| ~ ( X368 @ X369 ) )
& ( ~ ( in @ X374
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X373 ) )
| X373 )
& ( ~ ( in @ X375 @ emptyset )
| X376 )
& ( ~ ( in @ X377 @ emptyset )
| ~ $true )
& ~ ( in @ X378 @ emptyset )
& ( ( X379 @ ( esk12_2 @ X379 @ X380 ) )
| ~ ( X379 @ X380 )
| ( X379 @ ( esk13_1 @ X379 ) ) )
& ( ( X380
!= ( esk12_2 @ X379 @ X380 ) )
| ~ ( X379 @ X380 )
| ( X379 @ ( esk13_1 @ X379 ) ) )
& ( ( in @ ( esk15_2 @ X383 @ X384 ) @ X384 )
| ( X383 = X384 )
| ( in @ ( esk14_2 @ X383 @ X384 ) @ X383 ) )
& ( ~ ( in @ ( esk15_2 @ X383 @ X384 ) @ X383 )
| ( X383 = X384 )
| ( in @ ( esk14_2 @ X383 @ X384 ) @ X383 ) )
& ( ( in @ ( esk15_2 @ X383 @ X384 ) @ X384 )
| ( X383 = X384 )
| ~ ( in @ ( esk14_2 @ X383 @ X384 ) @ X384 ) )
& ( ~ ( in @ ( esk15_2 @ X383 @ X384 ) @ X383 )
| ( X383 = X384 )
| ~ ( in @ ( esk14_2 @ X383 @ X384 ) @ X384 ) )
& ( ( in @ ( esk16_1 @ X387 ) @ X387 )
| ( X387 = emptyset ) )
& ( ( in @ ( esk17_1 @ X389 ) @ X389 )
| ( X389 = emptyset ) )
& ( ~ ( in @ X393 @ ( dsetconstr @ X391 @ X392 ) )
| ( X392 @ X393 )
| ~ ( in @ X393 @ X391 ) )
& ( ~ ( X392 @ X393 )
| ( in @ X393 @ ( dsetconstr @ X391 @ X392 ) )
| ~ ( in @ X393 @ X391 ) )
& ( ( X394 = emptyset )
| ( in @ ( esk18_1 @ X394 ) @ X394 ) )
& ( ~ ( in @ X398 @ X396 )
| ~ ( X397 @ X398 )
| ( ( dsetconstr @ X396 @ X397 )
!= emptyset ) )
& ( ~ ( in @ X400 @ X399 )
| ( X399 != emptyset ) )
& ( in @ X401 @ ( setadjoin @ X401 @ X402 ) )
& ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
& ( ~ ( in @ X405 @ X404 )
| ( in @ X405 @ ( setadjoin @ X403 @ X404 ) ) )
& ( ( in @ X408 @ X407 )
| X409
| ( X408 = X406 )
| ~ ( in @ X408 @ ( setadjoin @ X406 @ X407 ) ) )
& ( ~ X409
| X409
| ( X408 = X406 )
| ~ ( in @ X408 @ ( setadjoin @ X406 @ X407 ) ) )
& ( ( in @ X408 @ X407 )
| X409
| ~ X409
| ~ ( in @ X408 @ ( setadjoin @ X406 @ X407 ) ) )
& ( ~ X409
| X409
| ~ X409
| ~ ( in @ X408 @ ( setadjoin @ X406 @ X407 ) ) )
& ( ~ ( in @ X412 @ ( setadjoin @ X410 @ X411 ) )
| ( X412 = X410 )
| ( in @ X412 @ X411 ) )
& ( ( dsetconstr @ X413
@ ^ [Z0: $i] : $true )
= X413 )
& ( ( in @ ( esk19_2 @ X414 @ X415 ) @ X415 )
| ( in @ X415 @ ( powerset @ X414 ) ) )
& ( ~ ( in @ ( esk19_2 @ X414 @ X415 ) @ X414 )
| ( in @ X415 @ ( powerset @ X414 ) ) )
& ( in @ emptyset @ ( powerset @ X417 ) )
& ( in @ emptyset @ ( powerset @ X418 ) )
& ( ~ ( in @ X420 @ ( powerset @ X419 ) )
| ~ ( in @ X421 @ X420 )
| ( in @ X421 @ X419 ) )
& ( ~ ( in @ X423 @ X424 )
| ~ ( in @ X424 @ X422 )
| ( in @ X423 @ ( setunion @ X422 ) ) )
& ( ( in @ X426 @ ( esk20_3 @ X425 @ X426 @ X427 ) )
| X427
| ~ ( in @ X426 @ ( setunion @ X425 ) ) )
& ( ( in @ ( esk20_3 @ X425 @ X426 @ X427 ) @ X425 )
| X427
| ~ ( in @ X426 @ ( setunion @ X425 ) ) )
& ( ~ X427
| X427
| ~ ( in @ X426 @ ( setunion @ X425 ) ) )
& ( ~ ( in @ X430 @ X429 )
| ( in @ X430 @ ( powerset @ ( setunion @ X429 ) ) ) )
& ( ~ ( X431 @ X435 )
| ( X435
= ( esk22_1 @ X431 ) )
| ( X431 @ ( esk21_2 @ X431 @ X432 ) )
| ~ ( X431 @ X432 ) )
& ( ( X436
!= ( esk22_1 @ X431 ) )
| ( X431 @ X436 )
| ( X431 @ ( esk21_2 @ X431 @ X432 ) )
| ~ ( X431 @ X432 ) )
& ( ~ ( X431 @ X435 )
| ( X435
= ( esk22_1 @ X431 ) )
| ( X432
!= ( esk21_2 @ X431 @ X432 ) )
| ~ ( X431 @ X432 ) )
& ( ( X436
!= ( esk22_1 @ X431 ) )
| ( X431 @ X436 )
| ( X432
!= ( esk21_2 @ X431 @ X432 ) )
| ~ ( X431 @ X432 ) )
& ( ( in @ ( esk23_1 @ X437 ) @ X437 )
| ( X437 = emptyset ) )
& ( $true
| ( X437 = emptyset ) )
& ( ~ ( in @ X439 @ ( setadjoin @ X440 @ emptyset ) )
| ( X439 = X440 ) )
& ( ( X441 = X442 )
| ~ ( in @ X442 @ ( setadjoin @ X441 @ emptyset ) ) )
& ( ( X443 != X444 )
| ( in @ X443 @ ( setadjoin @ X444 @ emptyset ) ) )
& ( ~ ( in @ X445 @ ( setadjoin @ X446 @ emptyset ) )
| ( in @ X446 @ ( setadjoin @ X445 @ emptyset ) ) )
& ( ~ ( in @ X449 @ ( setadjoin @ X447 @ ( setadjoin @ X448 @ emptyset ) ) )
| ( X449 = X447 )
| ( X449 = X448 ) )
& ( in @ X450 @ ( setadjoin @ X450 @ ( setadjoin @ X451 @ emptyset ) ) )
& ( in @ X453 @ ( setadjoin @ X452 @ ( setadjoin @ X453 @ emptyset ) ) )
& ( ~ ( in @ X456 @ X454 )
| ~ ( X455 @ X456 )
| ( ( dsetconstr @ X454 @ X455 )
!= emptyset )
| ~ $true )
& ( ~ ( in @ X458 @ emptyset )
| ( X457 @ X458 ) )
& ( ( in @ ( esk24_2 @ X459 @ X460 ) @ X459 )
| ~ ( in @ X461 @ X459 )
| ( X460 @ X461 ) )
& ( ~ ( X460 @ ( esk24_2 @ X459 @ X460 ) )
| ~ ( in @ X461 @ X459 )
| ( X460 @ X461 ) )
& ( ~ ( in @ X465 @ esk25_0 )
| ~ ( epred2_0 @ X465 ) )
& ( in @ esk26_0 @ esk25_0 )
& ( epred2_0 @ esk26_0 ) ),
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_80])])])])])])]) ).
thf(c_0_82,negated_conjecture,
! [X2: $i] :
( ~ ( in @ X2 @ esk25_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_83,negated_conjecture,
in @ esk26_0 @ esk25_0,
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_84,negated_conjecture,
epred2_0 @ esk26_0,
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU537^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 17:58:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 # Version: 3.1.0-ho
% 0.21/0.53 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.53 # new_bool_1 with pid 6615 completed with status 0
% 0.21/0.53 # Result found by new_bool_1
% 0.21/0.53 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: HGHSM-FFMM31-SHSSMSBN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.53 # new_ho_10 with pid 6618 completed with status 0
% 0.21/0.53 # Result found by new_ho_10
% 0.21/0.53 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: HGHSM-FFMM31-SHSSMSBN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.53 # Preprocessing time : 0.004 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.52/0.53 # Parsed axioms : 121
% 0.52/0.53 # Removed by relevancy pruning/SinE : 65
% 0.52/0.53 # Initial clauses : 106
% 0.52/0.53 # Removed in clause preprocessing : 5
% 0.52/0.53 # Initial clauses in saturation : 101
% 0.52/0.53 # Processed clauses : 112
% 0.52/0.53 # ...of these trivial : 3
% 0.52/0.53 # ...subsumed : 14
% 0.52/0.53 # ...remaining for further processing : 95
% 0.52/0.53 # Other redundant clauses eliminated : 5
% 0.52/0.53 # Clauses deleted for lack of memory : 0
% 0.52/0.53 # Backward-subsumed : 0
% 0.52/0.53 # Backward-rewritten : 1
% 0.52/0.53 # Generated clauses : 6
% 0.52/0.53 # ...of the previous two non-redundant : 4
% 0.52/0.53 # ...aggressively subsumed : 0
% 0.52/0.53 # Contextual simplify-reflections : 0
% 0.52/0.53 # Paramodulations : 1
% 0.52/0.53 # Factorizations : 0
% 0.52/0.53 # NegExts : 0
% 0.52/0.53 # Equation resolutions : 5
% 0.52/0.53 # Disequality decompositions : 0
% 0.52/0.53 # Total rewrite steps : 19
% 0.52/0.53 # ...of those cached : 12
% 0.52/0.53 # Propositional unsat checks : 0
% 0.52/0.53 # Propositional check models : 0
% 0.52/0.53 # Propositional check unsatisfiable : 0
% 0.52/0.53 # Propositional clauses : 0
% 0.52/0.53 # Propositional clauses after purity: 0
% 0.52/0.53 # Propositional unsat core size : 0
% 0.52/0.53 # Propositional preprocessing time : 0.000
% 0.52/0.53 # Propositional encoding time : 0.000
% 0.52/0.53 # Propositional solver time : 0.000
% 0.52/0.53 # Success case prop preproc time : 0.000
% 0.52/0.53 # Success case prop encoding time : 0.000
% 0.52/0.53 # Success case prop solver time : 0.000
% 0.52/0.53 # Current number of processed clauses : 7
% 0.52/0.53 # Positive orientable unit clauses : 5
% 0.52/0.53 # Positive unorientable unit clauses: 0
% 0.52/0.53 # Negative unit clauses : 1
% 0.52/0.53 # Non-unit-clauses : 1
% 0.52/0.53 # Current number of unprocessed clauses: 75
% 0.52/0.53 # ...number of literals in the above : 224
% 0.52/0.53 # Current number of archived formulas : 0
% 0.52/0.53 # Current number of archived clauses : 83
% 0.52/0.53 # Clause-clause subsumption calls (NU) : 1330
% 0.52/0.53 # Rec. Clause-clause subsumption calls : 546
% 0.52/0.53 # Non-unit clause-clause subsumptions : 12
% 0.52/0.53 # Unit Clause-clause subsumption calls : 1
% 0.52/0.53 # Rewrite failures with RHS unbound : 0
% 0.52/0.53 # BW rewrite match attempts : 3
% 0.52/0.53 # BW rewrite match successes : 1
% 0.52/0.53 # Condensation attempts : 112
% 0.52/0.53 # Condensation successes : 3
% 0.52/0.53 # Termbank termtop insertions : 14874
% 0.52/0.53 # Search garbage collected termcells : 5346
% 0.52/0.53
% 0.52/0.53 # -------------------------------------------------
% 0.52/0.53 # User time : 0.021 s
% 0.52/0.53 # System time : 0.007 s
% 0.52/0.53 # Total time : 0.028 s
% 0.52/0.53 # Maximum resident set size: 3280 pages
% 0.52/0.53
% 0.52/0.53 # -------------------------------------------------
% 0.52/0.53 # User time : 0.024 s
% 0.52/0.53 # System time : 0.010 s
% 0.52/0.53 # Total time : 0.034 s
% 0.52/0.53 # Maximum resident set size: 1856 pages
% 0.52/0.53 % E---3.1 exiting
% 0.52/0.53 % E exiting
%------------------------------------------------------------------------------