TSTP Solution File: SEU534^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU534^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 03:28:01 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 141
% Syntax : Number of formulae : 171 ( 19 unt; 87 typ; 0 def)
% Number of atoms : 631 ( 114 equ; 0 cnn)
% Maximal formula atoms : 170 ( 7 avg)
% Number of connectives : 2094 ( 149 ~; 154 |; 139 &;1300 @)
% ( 81 <=>; 271 =>; 0 <=; 0 <~>)
% Maximal formula depth : 199 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 119 ( 119 >; 0 *; 0 +; 0 <<)
% Number of symbols : 90 ( 87 usr; 57 con; 0-3 aty)
% Number of variables : 510 ( 48 ^ 403 !; 59 ?; 510 :)
% 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,
epred1_0: $o ).
thf(decl_84,type,
esk1_2: $i > $i > $i ).
thf(decl_85,type,
esk2_2: $i > $i > $i ).
thf(decl_86,type,
esk3_2: $i > $i > $i ).
thf(decl_87,type,
esk4_1: $i > $i ).
thf(decl_88,type,
esk5_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_89,type,
esk6_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_90,type,
esk7_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_91,type,
esk8_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_92,type,
esk9_1: $i > $i ).
thf(decl_93,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(decl_94,type,
esk11_1: ( $i > $o ) > $i ).
thf(decl_95,type,
esk12_2: ( $i > $o ) > $i > $i ).
thf(decl_96,type,
esk13_1: ( $i > $o ) > $i ).
thf(decl_97,type,
esk14_2: $i > $i > $i ).
thf(decl_98,type,
esk15_2: $i > $i > $i ).
thf(decl_99,type,
esk16_1: $i > $i ).
thf(decl_100,type,
esk17_1: $i > $i ).
thf(decl_101,type,
esk18_1: $i > $i ).
thf(decl_102,type,
esk19_2: $i > $i > $i ).
thf(decl_103,type,
esk20_3: $i > $i > $o > $i ).
thf(decl_104,type,
esk21_2: ( $i > $o ) > $i > $i ).
thf(decl_105,type,
esk22_1: ( $i > $o ) > $i ).
thf(decl_106,type,
esk23_1: $i > $i ).
thf(decl_107,type,
esk24_0: $i ).
thf(decl_108,type,
epred2_0: $i > $o ).
thf(decl_109,type,
esk25_0: $i ).
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(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(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).
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(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(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(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(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(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(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(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1) ).
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(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(emptyE1,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
=> ! [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(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(upairsetIR,axiom,
( upairsetIR
<=> ! [X2: $i,X3: $i] : ( in @ X3 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
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(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(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(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X12: $o] : X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
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(upairsetIL,axiom,
( upairsetIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ~ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(notinemptyset,axiom,
( notinemptyset
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).
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(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(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_53,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_54,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_55,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_56,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_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,
( 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_60,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_61,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_62,plain,
( exuE2
= ( ! [X1: $i > $o] :
( ? [X159: $i] :
( ( X1 @ X159 )
& ! [X160: $i] :
( ( X1 @ X160 )
=> ( X159 = X160 ) ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_63,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_55]) ).
thf(c_0_64,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X155: $i] :
( ( X1 @ X155 )
& ! [X156: $i] :
( ( X1 @ X156 )
=> ( X155 = X156 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_56,c_0_54]) ).
thf(c_0_65,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_66,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X157: $i] :
( ( X1 @ X157 )
& ! [X158: $i] :
( ( X1 @ X158 )
=> ( X157 = X158 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_58,c_0_54]) ).
thf(c_0_67,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_68,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_55]) ).
thf(c_0_69,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_59,c_0_55]) ).
thf(c_0_70,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_55]) ).
thf(c_0_71,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_72,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_73,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_74,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X153: $i] :
( ( X6 @ X2 @ X153 )
& ! [X154: $i] :
( ( X6 @ X2 @ X154 )
=> ( X153 = X154 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_60,c_0_54]) ).
thf(c_0_75,plain,
( epred1_0
<=> ! [X190: $i] :
? [X191: $i] :
( ! [X192: $i] :
( ( in @ X192 @ X191 )
=> ! [X193: $i] :
( ( in @ X193 @ X192 )
=> ( in @ X193 @ X190 ) ) )
& ! [X194: $i,X195: $i] :
( ( ( in @ X194 @ X190 )
& ( in @ X195 @ X190 ) )
=> ( ! [X196: $i] :
( ( in @ X196 @ X191 )
=> ( ( in @ X194 @ X196 )
<=> ( in @ X195 @ X196 ) ) )
=> ( X194 = X195 ) ) )
& ! [X197: $i,X198: $i] :
( ( ( in @ X197 @ X191 )
& ( in @ X198 @ X191 ) )
=> ( ! [X199: $i] :
( ( in @ X199 @ X197 )
=> ( in @ X199 @ X198 ) )
| ! [X200: $i] :
( ( in @ X200 @ X198 )
=> ( in @ X200 @ X197 ) ) ) )
& ! [X201: $i] :
( ( ! [X202: $i] :
( ( in @ X202 @ X201 )
=> ( in @ X202 @ X190 ) )
& ? [X203: $i] : ( in @ X203 @ X201 ) )
=> ? [X204: $i,X205: $i] :
( ( in @ X204 @ X191 )
& ( in @ X205 @ X201 )
& ~ ? [X206: $i] :
( ( in @ X206 @ X204 )
& ( in @ X206 @ X201 ) )
& ! [X207: $i] :
( ( in @ X207 @ X191 )
=> ( ! [X208: $i] :
( ( in @ X208 @ X207 )
=> ( in @ X208 @ X204 ) )
| ( in @ X205 @ X207 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_76,negated_conjecture,
~ ( ! [X161: $i,X162: $i] :
( ! [X163: $i] :
( ( in @ X163 @ X161 )
<=> ( in @ X163 @ X162 ) )
=> ( X161 = X162 ) )
=> ( ! [X164: $i] :
~ ( in @ X164 @ emptyset )
=> ( ! [X165: $i,X166: $i,X167: $i] :
( ( in @ X167 @ ( setadjoin @ X165 @ X166 ) )
<=> ( ( X167 = X165 )
| ( in @ X167 @ X166 ) ) )
=> ( ! [X168: $i,X169: $i] :
( ( in @ X169 @ ( powerset @ X168 ) )
<=> ! [X170: $i] :
( ( in @ X170 @ X169 )
=> ( in @ X170 @ X168 ) ) )
=> ( ! [X171: $i,X172: $i] :
( ( in @ X172 @ ( setunion @ X171 ) )
<=> ? [X173: $i] :
( ( in @ X172 @ X173 )
& ( in @ X173 @ X171 ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [X174: $i] :
( ( in @ X174 @ omega )
=> ( in @ ( setadjoin @ X174 @ X174 ) @ omega ) )
=> ( ! [X175: $i] :
( ( ( in @ emptyset @ X175 )
& ! [X176: $i] :
( ( ( in @ X176 @ omega )
& ( in @ X176 @ X175 ) )
=> ( in @ ( setadjoin @ X176 @ X176 ) @ X175 ) ) )
=> ! [X177: $i] :
( ( in @ X177 @ omega )
=> ( in @ X177 @ X175 ) ) )
=> ( ! [X178: $i > $i > $o,X179: $i] :
( ! [X180: $i] :
( ( in @ X180 @ X179 )
=> ? [X181: $i] :
( ( X178 @ X180 @ X181 )
& ! [X182: $i] :
( ( X178 @ X180 @ X182 )
=> ( X181 = X182 ) ) ) )
=> ? [X183: $i] :
! [X184: $i] :
( ( in @ X184 @ X183 )
<=> ? [X185: $i] :
( ( in @ X185 @ X179 )
& ( X178 @ X185 @ X184 ) ) ) )
=> ( ! [X186: $i] :
( ? [X187: $i] : ( in @ X187 @ X186 )
=> ? [X188: $i] :
( ( in @ X188 @ X186 )
& ~ ? [X189: $i] :
( ( in @ X189 @ X188 )
& ( in @ X189 @ X186 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X209: $i,X210: $i > $o,X211: $i] :
( ( in @ X211 @ X209 )
=> ( ( X210 @ X211 )
=> ( in @ X211
@ ( dsetconstr @ X209
@ ^ [Z0: $i] : ( X210 @ Z0 ) ) ) ) )
=> ( ! [X212: $i,X213: $i > $o,X214: $i] :
( ( in @ X214
@ ( dsetconstr @ X212
@ ^ [Z0: $i] : ( X213 @ Z0 ) ) )
=> ( in @ X214 @ X212 ) )
=> ( ! [X215: $i,X216: $i > $o,X217: $i] :
( ( in @ X217
@ ( dsetconstr @ X215
@ ^ [Z0: $i] : ( X216 @ Z0 ) ) )
=> ( X216 @ X217 ) )
=> ( ! [X218: $i > $o] :
( ? [X219: $i] :
( ( X218 @ X219 )
& ! [X220: $i] :
( ( X218 @ X220 )
=> ( X219 = X220 ) ) )
=> ? [X221: $i] :
( ( X218 @ X221 )
& ! [X222: $i] :
( ( X218 @ X222 )
=> ( X221 = X222 ) ) ) )
=> ( ! [X223: $o,X224: $i] :
( ( in @ X224
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X223 ) )
=> X223 )
=> ( ! [X225: $i] :
( ( in @ X225 @ emptyset )
=> ! [X226: $o] : X226 )
=> ( ! [X227: $i] :
~ ( in @ X227 @ emptyset )
=> ( ! [X228: $i] :
~ ( in @ X228 @ emptyset )
=> ( ! [X229: $i > $o] :
( ? [X230: $i] :
( ( X229 @ X230 )
& ! [X231: $i] :
( ( X229 @ X231 )
=> ( X230 = X231 ) ) )
=> ? [X232: $i] : ( X229 @ X232 ) )
=> ( ! [X233: $i,X234: $i] :
( ! [X235: $i] :
( ( in @ X235 @ X233 )
=> ( in @ X235 @ X234 ) )
=> ( ! [X236: $i] :
( ( in @ X236 @ X234 )
=> ( in @ X236 @ X233 ) )
=> ( X233 = X234 ) ) )
=> ( ! [X237: $i] :
( ! [X238: $i] :
~ ( in @ X238 @ X237 )
=> ( X237 = emptyset ) )
=> ( ! [X239: $i] :
( ! [X240: $i] :
~ ( in @ X240 @ X239 )
=> ( X239 = emptyset ) )
=> ( ! [X241: $i,X242: $i > $o,X243: $i] :
( ( in @ X243 @ X241 )
=> ( ( in @ X243
@ ( dsetconstr @ X241
@ ^ [Z0: $i] : ( X242 @ Z0 ) ) )
<=> ( X242 @ X243 ) ) )
=> ( ! [X244: $i] :
( ( X244 != emptyset )
=> ? [X245: $i] : ( in @ X245 @ X244 ) )
=> ( ! [X246: $i,X247: $i > $o,X248: $i] :
( ( in @ X248 @ X246 )
=> ( ( X247 @ X248 )
=> ( ( dsetconstr @ X246
@ ^ [Z0: $i] : ( X247 @ Z0 ) )
!= emptyset ) ) )
=> ( ! [X249: $i] :
( ? [X250: $i] : ( in @ X250 @ X249 )
=> ( X249 != emptyset ) )
=> ( ! [X251: $i,X252: $i] : ( in @ X251 @ ( setadjoin @ X251 @ X252 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [X253: $i,X254: $i,X255: $i] :
( ( in @ X255 @ X254 )
=> ( in @ X255 @ ( setadjoin @ X253 @ X254 ) ) )
=> ( ! [X256: $i,X257: $i,X258: $i] :
( ( in @ X258 @ ( setadjoin @ X256 @ X257 ) )
=> ! [X259: $o] :
( ( ( X258 = X256 )
=> X259 )
=> ( ( ( in @ X258 @ X257 )
=> X259 )
=> X259 ) ) )
=> ( ! [X260: $i,X261: $i,X262: $i] :
( ( in @ X262 @ ( setadjoin @ X260 @ X261 ) )
=> ( ( X262 = X260 )
| ( in @ X262 @ X261 ) ) )
=> ( ! [X263: $i] :
( ( dsetconstr @ X263
@ ^ [Z0: $i] : $true )
= X263 )
=> ( ! [X264: $i,X265: $i] :
( ! [X266: $i] :
( ( in @ X266 @ X265 )
=> ( in @ X266 @ X264 ) )
=> ( in @ X265 @ ( powerset @ X264 ) ) )
=> ( ! [X267: $i] : ( in @ emptyset @ ( powerset @ X267 ) )
=> ( ! [X268: $i] : ( in @ emptyset @ ( powerset @ X268 ) )
=> ( ! [X269: $i,X270: $i,X271: $i] :
( ( in @ X270 @ ( powerset @ X269 ) )
=> ( ( in @ X271 @ X270 )
=> ( in @ X271 @ X269 ) ) )
=> ( ! [X272: $i,X273: $i,X274: $i] :
( ( in @ X273 @ X274 )
=> ( ( in @ X274 @ X272 )
=> ( in @ X273 @ ( setunion @ X272 ) ) ) )
=> ( ! [X275: $i,X276: $i] :
( ( in @ X276 @ ( setunion @ X275 ) )
=> ! [X277: $o] :
( ! [X278: $i] :
( ( in @ X276 @ X278 )
=> ( ( in @ X278 @ X275 )
=> X277 ) )
=> X277 ) )
=> ( ! [X279: $i,X280: $i] :
( ( in @ X280 @ X279 )
=> ( in @ X280 @ ( powerset @ ( setunion @ X279 ) ) ) )
=> ( ! [X281: $i > $o] :
( ? [X282: $i] :
( ( X281 @ X282 )
& ! [X283: $i] :
( ( X281 @ X283 )
=> ( X282 = X283 ) ) )
=> ? [X284: $i] :
! [X285: $i] :
( ( X281 @ X285 )
<=> ( X285 = X284 ) ) )
=> ( ! [X286: $i] :
( ( X286 != emptyset )
=> ? [X287: $i] : ( in @ X287 @ X286 ) )
=> ( ! [X288: $i,X289: $i] :
( ( in @ X288 @ ( setadjoin @ X289 @ emptyset ) )
=> ( X288 = X289 ) )
=> ( ! [X290: $i,X291: $i] :
( ( X290 != X291 )
=> ~ ( in @ X291 @ ( setadjoin @ X290 @ emptyset ) ) )
=> ( ! [X292: $i,X293: $i] :
( ( X292 = X293 )
=> ( in @ X292 @ ( setadjoin @ X293 @ emptyset ) ) )
=> ( ! [X294: $i,X295: $i] :
( ( in @ X294 @ ( setadjoin @ X295 @ emptyset ) )
=> ( in @ X295 @ ( setadjoin @ X294 @ emptyset ) ) )
=> ( ! [X296: $i,X297: $i,X298: $i] :
( ( in @ X298 @ ( setadjoin @ X296 @ ( setadjoin @ X297 @ emptyset ) ) )
=> ( ( X298 = X296 )
| ( X298 = X297 ) ) )
=> ( ! [X299: $i,X300: $i] : ( in @ X299 @ ( setadjoin @ X299 @ ( setadjoin @ X300 @ emptyset ) ) )
=> ( ! [X301: $i,X302: $i] : ( in @ X302 @ ( setadjoin @ X301 @ ( setadjoin @ X302 @ emptyset ) ) )
=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
!= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[emptyE1])]),noeltsimpempty]),upairsetIR]),setunionE]),c_0_61]),subPowSU]),c_0_62]),c_0_63]),c_0_64]),uniqinunit]),notinsingleton]),c_0_65]),eqinunit]),singletonsswitch]),emptysetE]),upairsetE]),upairsetIL]),emptysetimpfalse]),notinemptyset]),c_0_66]),setext]),emptyI]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_71]),powersetI]),emptyinPowerset]),emptyInPowerset]),powersetE]),setunionI]),c_0_72]),c_0_73]),wellorderingAx]),foundationAx]),c_0_74]),omegaIndAx]),omegaSAx]),omega0Ax]),setunionAx]),powersetAx]),setadjoinAx]),emptysetAx]),setextAx])]),c_0_75]) ).
thf(c_0_77,negated_conjecture,
! [X303: $i,X304: $i,X306: $i,X307: $i,X308: $i,X309: $i,X310: $i,X311: $i,X312: $i,X313: $i,X314: $i,X316: $i,X317: $i,X319: $i,X320: $i,X321: $i,X322: $i,X323: $i,X325: $i,X326: $i > $i > $o,X327: $i,X329: $i,X332: $i,X334: $i,X335: $i,X336: $i,X337: $i,X339: $i,X340: $i,X341: $i > $o,X342: $i,X343: $i,X344: $i > $o,X345: $i,X346: $i,X347: $i > $o,X348: $i,X349: $i > $o,X350: $i,X353: $i,X354: $o,X355: $i,X356: $i,X357: $o,X358: $i,X359: $i,X360: $i > $o,X361: $i,X364: $i,X365: $i,X368: $i,X370: $i,X372: $i,X373: $i > $o,X374: $i,X375: $i,X377: $i,X378: $i > $o,X379: $i,X380: $i,X381: $i,X382: $i,X383: $i,X384: $i,X385: $i,X386: $i,X387: $i,X388: $i,X389: $i,X390: $o,X391: $i,X392: $i,X393: $i,X394: $i,X395: $i,X396: $i,X398: $i,X399: $i,X400: $i,X401: $i,X402: $i,X403: $i,X404: $i,X405: $i,X406: $i,X407: $i,X408: $o,X410: $i,X411: $i,X412: $i > $o,X413: $i,X416: $i,X417: $i,X418: $i,X420: $i,X421: $i,X422: $i,X423: $i,X424: $i,X425: $i,X426: $i,X427: $i,X428: $i,X429: $i,X430: $i,X431: $i,X432: $i,X433: $i,X434: $i] :
( ( ~ ( in @ ( esk1_2 @ X303 @ X304 ) @ X303 )
| ~ ( in @ ( esk1_2 @ X303 @ X304 ) @ X304 )
| ( X303 = X304 ) )
& ( ( in @ ( esk1_2 @ X303 @ X304 ) @ X303 )
| ( in @ ( esk1_2 @ X303 @ X304 ) @ X304 )
| ( X303 = X304 ) )
& ~ ( in @ X306 @ emptyset )
& ( ~ ( in @ X309 @ ( setadjoin @ X307 @ X308 ) )
| ( X309 = X307 )
| ( in @ X309 @ X308 ) )
& ( ( X309 != X307 )
| ( in @ X309 @ ( setadjoin @ X307 @ X308 ) ) )
& ( ~ ( in @ X309 @ X308 )
| ( in @ X309 @ ( setadjoin @ X307 @ X308 ) ) )
& ( ~ ( in @ X311 @ ( powerset @ X310 ) )
| ~ ( in @ X312 @ X311 )
| ( in @ X312 @ X310 ) )
& ( ( in @ ( esk2_2 @ X313 @ X314 ) @ X314 )
| ( in @ X314 @ ( powerset @ X313 ) ) )
& ( ~ ( in @ ( esk2_2 @ X313 @ X314 ) @ X313 )
| ( in @ X314 @ ( powerset @ X313 ) ) )
& ( ( in @ X317 @ ( esk3_2 @ X316 @ X317 ) )
| ~ ( in @ X317 @ ( setunion @ X316 ) ) )
& ( ( in @ ( esk3_2 @ X316 @ X317 ) @ X316 )
| ~ ( in @ X317 @ ( setunion @ X316 ) ) )
& ( ~ ( in @ X320 @ X321 )
| ~ ( in @ X321 @ X319 )
| ( in @ X320 @ ( setunion @ X319 ) ) )
& ( in @ emptyset @ omega )
& ( ~ ( in @ X322 @ omega )
| ( in @ ( setadjoin @ X322 @ X322 ) @ omega ) )
& ( ( in @ ( esk4_1 @ X323 ) @ omega )
| ~ ( in @ emptyset @ X323 )
| ~ ( in @ X325 @ omega )
| ( in @ X325 @ X323 ) )
& ( ( in @ ( esk4_1 @ X323 ) @ X323 )
| ~ ( in @ emptyset @ X323 )
| ~ ( in @ X325 @ omega )
| ( in @ X325 @ X323 ) )
& ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X323 ) @ ( esk4_1 @ X323 ) ) @ X323 )
| ~ ( in @ emptyset @ X323 )
| ~ ( in @ X325 @ omega )
| ( in @ X325 @ X323 ) )
& ( ( in @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X327 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( in @ ( esk5_2 @ X326 @ X327 ) @ X327 ) )
& ( ( X326 @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X332 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( in @ ( esk5_2 @ X326 @ X327 ) @ X327 ) )
& ( ~ ( in @ X335 @ X327 )
| ~ ( X326 @ X335 @ X334 )
| ( in @ X334 @ ( esk7_2 @ X326 @ X327 ) )
| ( in @ ( esk5_2 @ X326 @ X327 ) @ X327 ) )
& ( ( in @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X327 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( X326 @ ( esk5_2 @ X326 @ X327 ) @ ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ( X326 @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X332 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( X326 @ ( esk5_2 @ X326 @ X327 ) @ ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ~ ( in @ X335 @ X327 )
| ~ ( X326 @ X335 @ X334 )
| ( in @ X334 @ ( esk7_2 @ X326 @ X327 ) )
| ( X326 @ ( esk5_2 @ X326 @ X327 ) @ ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ( in @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X327 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( X329
!= ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ( X326 @ ( esk8_3 @ X326 @ X327 @ X332 ) @ X332 )
| ~ ( in @ X332 @ ( esk7_2 @ X326 @ X327 ) )
| ( X329
!= ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ~ ( in @ X335 @ X327 )
| ~ ( X326 @ X335 @ X334 )
| ( in @ X334 @ ( esk7_2 @ X326 @ X327 ) )
| ( X329
!= ( esk6_3 @ X326 @ X327 @ X329 ) )
| ~ ( X326 @ ( esk5_2 @ X326 @ X327 ) @ X329 ) )
& ( ( in @ ( esk9_1 @ X336 ) @ X336 )
| ~ ( in @ X337 @ X336 ) )
& ( ~ ( in @ X339 @ ( esk9_1 @ X336 ) )
| ~ ( in @ X339 @ X336 )
| ~ ( in @ X337 @ X336 ) )
& epred1_0
& descrp
& ( ~ ( in @ X342 @ X340 )
| ~ ( X341 @ X342 )
| ( in @ X342
@ ( dsetconstr @ X340
@ ^ [Z0: $i] : ( X341 @ Z0 ) ) ) )
& ( ~ ( in @ X345
@ ( dsetconstr @ X343
@ ^ [Z0: $i] : ( X344 @ Z0 ) ) )
| ( in @ X345 @ X343 ) )
& ( ~ ( in @ X348
@ ( dsetconstr @ X346
@ ^ [Z0: $i] : ( X347 @ Z0 ) ) )
| ( X347 @ X348 ) )
& ( ( X349 @ ( esk11_1 @ X349 ) )
| ( X349 @ ( esk10_2 @ X349 @ X350 ) )
| ~ ( X349 @ X350 ) )
& ( ~ ( X349 @ X353 )
| ( ( esk11_1 @ X349 )
= X353 )
| ( X349 @ ( esk10_2 @ X349 @ X350 ) )
| ~ ( X349 @ X350 ) )
& ( ( X349 @ ( esk11_1 @ X349 ) )
| ( X350
!= ( esk10_2 @ X349 @ X350 ) )
| ~ ( X349 @ X350 ) )
& ( ~ ( X349 @ X353 )
| ( ( esk11_1 @ X349 )
= X353 )
| ( X350
!= ( esk10_2 @ X349 @ X350 ) )
| ~ ( X349 @ X350 ) )
& ( ~ ( in @ X355
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X354 ) )
| X354 )
& ( ~ ( in @ X356 @ emptyset )
| X357 )
& ~ ( in @ X358 @ emptyset )
& ~ ( in @ X359 @ emptyset )
& ( ( X360 @ ( esk12_2 @ X360 @ X361 ) )
| ~ ( X360 @ X361 )
| ( X360 @ ( esk13_1 @ X360 ) ) )
& ( ( X361
!= ( esk12_2 @ X360 @ X361 ) )
| ~ ( X360 @ X361 )
| ( X360 @ ( esk13_1 @ X360 ) ) )
& ( ( in @ ( esk15_2 @ X364 @ X365 ) @ X365 )
| ( X364 = X365 )
| ( in @ ( esk14_2 @ X364 @ X365 ) @ X364 ) )
& ( ~ ( in @ ( esk15_2 @ X364 @ X365 ) @ X364 )
| ( X364 = X365 )
| ( in @ ( esk14_2 @ X364 @ X365 ) @ X364 ) )
& ( ( in @ ( esk15_2 @ X364 @ X365 ) @ X365 )
| ( X364 = X365 )
| ~ ( in @ ( esk14_2 @ X364 @ X365 ) @ X365 ) )
& ( ~ ( in @ ( esk15_2 @ X364 @ X365 ) @ X364 )
| ( X364 = X365 )
| ~ ( in @ ( esk14_2 @ X364 @ X365 ) @ X365 ) )
& ( ( in @ ( esk16_1 @ X368 ) @ X368 )
| ( X368 = emptyset ) )
& ( ( in @ ( esk17_1 @ X370 ) @ X370 )
| ( X370 = emptyset ) )
& ( ~ ( in @ X374
@ ( dsetconstr @ X372
@ ^ [Z0: $i] : ( X373 @ Z0 ) ) )
| ( X373 @ X374 )
| ~ ( in @ X374 @ X372 ) )
& ( ~ ( X373 @ X374 )
| ( in @ X374
@ ( dsetconstr @ X372
@ ^ [Z0: $i] : ( X373 @ Z0 ) ) )
| ~ ( in @ X374 @ X372 ) )
& ( ( X375 = emptyset )
| ( in @ ( esk18_1 @ X375 ) @ X375 ) )
& ( ~ ( in @ X379 @ X377 )
| ~ ( X378 @ X379 )
| ( ( dsetconstr @ X377
@ ^ [Z0: $i] : ( X378 @ Z0 ) )
!= emptyset ) )
& ( ~ ( in @ X381 @ X380 )
| ( X380 != emptyset ) )
& ( in @ X382 @ ( setadjoin @ X382 @ X383 ) )
& ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
& ( ~ ( in @ X386 @ X385 )
| ( in @ X386 @ ( setadjoin @ X384 @ X385 ) ) )
& ( ( in @ X389 @ X388 )
| X390
| ( X389 = X387 )
| ~ ( in @ X389 @ ( setadjoin @ X387 @ X388 ) ) )
& ( ~ X390
| X390
| ( X389 = X387 )
| ~ ( in @ X389 @ ( setadjoin @ X387 @ X388 ) ) )
& ( ( in @ X389 @ X388 )
| X390
| ~ X390
| ~ ( in @ X389 @ ( setadjoin @ X387 @ X388 ) ) )
& ( ~ X390
| X390
| ~ X390
| ~ ( in @ X389 @ ( setadjoin @ X387 @ X388 ) ) )
& ( ~ ( in @ X393 @ ( setadjoin @ X391 @ X392 ) )
| ( X393 = X391 )
| ( in @ X393 @ X392 ) )
& ( ( dsetconstr @ X394
@ ^ [Z0: $i] : $true )
= X394 )
& ( ( in @ ( esk19_2 @ X395 @ X396 ) @ X396 )
| ( in @ X396 @ ( powerset @ X395 ) ) )
& ( ~ ( in @ ( esk19_2 @ X395 @ X396 ) @ X395 )
| ( in @ X396 @ ( powerset @ X395 ) ) )
& ( in @ emptyset @ ( powerset @ X398 ) )
& ( in @ emptyset @ ( powerset @ X399 ) )
& ( ~ ( in @ X401 @ ( powerset @ X400 ) )
| ~ ( in @ X402 @ X401 )
| ( in @ X402 @ X400 ) )
& ( ~ ( in @ X404 @ X405 )
| ~ ( in @ X405 @ X403 )
| ( in @ X404 @ ( setunion @ X403 ) ) )
& ( ( in @ X407 @ ( esk20_3 @ X406 @ X407 @ X408 ) )
| X408
| ~ ( in @ X407 @ ( setunion @ X406 ) ) )
& ( ( in @ ( esk20_3 @ X406 @ X407 @ X408 ) @ X406 )
| X408
| ~ ( in @ X407 @ ( setunion @ X406 ) ) )
& ( ~ X408
| X408
| ~ ( in @ X407 @ ( setunion @ X406 ) ) )
& ( ~ ( in @ X411 @ X410 )
| ( in @ X411 @ ( powerset @ ( setunion @ X410 ) ) ) )
& ( ~ ( X412 @ X416 )
| ( X416
= ( esk22_1 @ X412 ) )
| ( X412 @ ( esk21_2 @ X412 @ X413 ) )
| ~ ( X412 @ X413 ) )
& ( ( X417
!= ( esk22_1 @ X412 ) )
| ( X412 @ X417 )
| ( X412 @ ( esk21_2 @ X412 @ X413 ) )
| ~ ( X412 @ X413 ) )
& ( ~ ( X412 @ X416 )
| ( X416
= ( esk22_1 @ X412 ) )
| ( X413
!= ( esk21_2 @ X412 @ X413 ) )
| ~ ( X412 @ X413 ) )
& ( ( X417
!= ( esk22_1 @ X412 ) )
| ( X412 @ X417 )
| ( X413
!= ( esk21_2 @ X412 @ X413 ) )
| ~ ( X412 @ X413 ) )
& ( ( X418 = emptyset )
| ( in @ ( esk23_1 @ X418 ) @ X418 ) )
& ( ~ ( in @ X420 @ ( setadjoin @ X421 @ emptyset ) )
| ( X420 = X421 ) )
& ( ( X422 = X423 )
| ~ ( in @ X423 @ ( setadjoin @ X422 @ emptyset ) ) )
& ( ( X424 != X425 )
| ( in @ X424 @ ( setadjoin @ X425 @ emptyset ) ) )
& ( ~ ( in @ X426 @ ( setadjoin @ X427 @ emptyset ) )
| ( in @ X427 @ ( setadjoin @ X426 @ emptyset ) ) )
& ( ~ ( in @ X430 @ ( setadjoin @ X428 @ ( setadjoin @ X429 @ emptyset ) ) )
| ( X430 = X428 )
| ( X430 = X429 ) )
& ( in @ X431 @ ( setadjoin @ X431 @ ( setadjoin @ X432 @ emptyset ) ) )
& ( in @ X434 @ ( setadjoin @ X433 @ ( setadjoin @ X434 @ emptyset ) ) )
& ( in @ esk25_0 @ esk24_0 )
& ( epred2_0 @ esk25_0 )
& ( ( dsetconstr @ esk24_0
@ ^ [Z0: $i] : ( epred2_0 @ Z0 ) )
= emptyset ) ),
inference(distribute,[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_76])])])])])]) ).
thf(c_0_78,negated_conjecture,
! [X3: $i,X2: $i,X1: $i > $o] :
( ~ ( in @ X2 @ X3 )
| ~ ( X1 @ X2 )
| ( ( dsetconstr @ X3 @ X1 )
!= emptyset ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_79,negated_conjecture,
( ( dsetconstr @ esk24_0 @ epred2_0 )
= emptyset ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_80,negated_conjecture,
! [X2: $i] :
( ~ ( in @ X2 @ esk24_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_81,negated_conjecture,
in @ esk25_0 @ esk24_0,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_82,negated_conjecture,
epred2_0 @ esk25_0,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU534^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 15:47:22 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.44 Running higher-order theorem proving
% 0.19/0.44 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
% 0.19/0.48 # Version: 3.1.0-ho
% 0.19/0.48 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.48 # new_bool_2 with pid 8825 completed with status 0
% 0.19/0.48 # Result found by new_bool_2
% 0.19/0.48 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: HGHSM-FFMM31-SHSSMSBN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.48 # new_ho_10 with pid 8826 completed with status 0
% 0.19/0.48 # Result found by new_ho_10
% 0.19/0.48 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: HGHSM-FFMM31-SHSSMSBN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.48 # Preprocessing time : 0.003 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 115
% 0.19/0.48 # Removed by relevancy pruning/SinE : 62
% 0.19/0.48 # Initial clauses : 101
% 0.19/0.48 # Removed in clause preprocessing : 4
% 0.19/0.48 # Initial clauses in saturation : 97
% 0.19/0.48 # Processed clauses : 122
% 0.19/0.48 # ...of these trivial : 3
% 0.19/0.48 # ...subsumed : 14
% 0.19/0.48 # ...remaining for further processing : 105
% 0.19/0.48 # Other redundant clauses eliminated : 6
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 2
% 0.19/0.48 # Generated clauses : 17
% 0.19/0.48 # ...of the previous two non-redundant : 13
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 11
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 6
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 20
% 0.19/0.48 # ...of those cached : 12
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 18
% 0.19/0.48 # Positive orientable unit clauses : 10
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 1
% 0.19/0.48 # Non-unit-clauses : 7
% 0.19/0.48 # Current number of unprocessed clauses: 67
% 0.19/0.48 # ...number of literals in the above : 209
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 82
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 1521
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 596
% 0.19/0.48 # Non-unit clause-clause subsumptions : 11
% 0.19/0.48 # Unit Clause-clause subsumption calls : 2
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 6
% 0.19/0.48 # BW rewrite match successes : 2
% 0.19/0.48 # Condensation attempts : 122
% 0.19/0.48 # Condensation successes : 3
% 0.19/0.48 # Termbank termtop insertions : 13077
% 0.19/0.48 # Search garbage collected termcells : 4273
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.022 s
% 0.19/0.48 # System time : 0.004 s
% 0.19/0.48 # Total time : 0.026 s
% 0.19/0.48 # Maximum resident set size: 3040 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.026 s
% 0.19/0.48 # System time : 0.006 s
% 0.19/0.48 # Total time : 0.032 s
% 0.19/0.48 # Maximum resident set size: 1856 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------