TSTP Solution File: SEU531^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU531^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 03:28:00 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 135
% Syntax : Number of formulae : 166 ( 21 unt; 84 typ; 0 def)
% Number of atoms : 610 ( 112 equ; 0 cnn)
% Maximal formula atoms : 165 ( 7 avg)
% Number of connectives : 2023 ( 147 ~; 151 |; 134 &;1251 @)
% ( 78 <=>; 262 =>; 0 <=; 0 <~>)
% Maximal formula depth : 190 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 115 >; 0 *; 0 +; 0 <<)
% Number of symbols : 87 ( 84 usr; 55 con; 0-3 aty)
% Number of variables : 486 ( 45 ^ 384 !; 57 ?; 486 :)
% 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,
epred1_0: $o ).
thf(decl_81,type,
esk1_2: $i > $i > $i ).
thf(decl_82,type,
esk2_2: $i > $i > $i ).
thf(decl_83,type,
esk3_2: $i > $i > $i ).
thf(decl_84,type,
esk4_1: $i > $i ).
thf(decl_85,type,
esk5_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_86,type,
esk6_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_87,type,
esk7_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_88,type,
esk8_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_89,type,
esk9_1: $i > $i ).
thf(decl_90,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(decl_91,type,
esk11_1: ( $i > $o ) > $i ).
thf(decl_92,type,
esk12_2: ( $i > $o ) > $i > $i ).
thf(decl_93,type,
esk13_1: ( $i > $o ) > $i ).
thf(decl_94,type,
esk14_2: $i > $i > $i ).
thf(decl_95,type,
esk15_2: $i > $i > $i ).
thf(decl_96,type,
esk16_1: $i > $i ).
thf(decl_97,type,
esk17_1: $i > $i ).
thf(decl_98,type,
esk18_1: $i > $i ).
thf(decl_99,type,
esk19_2: $i > $i > $i ).
thf(decl_100,type,
esk20_3: $i > $i > $o > $i ).
thf(decl_101,type,
esk21_2: ( $i > $o ) > $i > $i ).
thf(decl_102,type,
esk22_1: ( $i > $o ) > $i ).
thf(decl_103,type,
esk23_1: $i > $i ).
thf(decl_104,type,
esk24_0: $i ).
thf(decl_105,type,
esk25_0: $i ).
thf(decl_106,type,
esk26_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(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(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(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(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(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(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(upairsetE,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
=> ! [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(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).
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(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(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(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(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(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_50,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_51,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_52,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_53,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_54,plain,
( prop2set
= ( ^ [Z0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z1: $i] : Z0 ) ) ),
inference(fof_simplification,[status(thm)],[prop2set]) ).
thf(c_0_55,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_56,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_57,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_58,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_59,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_60,plain,
( exuE2
= ( ! [X1: $i > $o] :
( ? [X152: $i] :
( ( X1 @ X152 )
& ! [X153: $i] :
( ( X1 @ X153 )
=> ( X152 = X153 ) ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_61,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X148: $i] :
( ( X1 @ X148 )
& ! [X149: $i] :
( ( X1 @ X149 )
=> ( X148 = X149 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_52,c_0_51]) ).
thf(c_0_62,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_53]) ).
thf(c_0_63,axiom,
( prop2setE
= ( ! [X11: $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X11 ) )
=> X11 ) ) ),
inference(apply_def,[status(thm)],[prop2setE,c_0_54]) ).
thf(c_0_64,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X150: $i] :
( ( X1 @ X150 )
& ! [X151: $i] :
( ( X1 @ X151 )
=> ( X150 = X151 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_55,c_0_51]) ).
thf(c_0_65,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_66,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_53]) ).
thf(c_0_67,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_56,c_0_53]) ).
thf(c_0_68,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_53]) ).
thf(c_0_69,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_70,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_71,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X146: $i] :
( ( X6 @ X2 @ X146 )
& ! [X147: $i] :
( ( X6 @ X2 @ X147 )
=> ( X146 = X147 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_57,c_0_51]) ).
thf(c_0_72,plain,
( epred1_0
<=> ! [X183: $i] :
? [X184: $i] :
( ! [X185: $i] :
( ( in @ X185 @ X184 )
=> ! [X186: $i] :
( ( in @ X186 @ X185 )
=> ( in @ X186 @ X183 ) ) )
& ! [X187: $i,X188: $i] :
( ( ( in @ X187 @ X183 )
& ( in @ X188 @ X183 ) )
=> ( ! [X189: $i] :
( ( in @ X189 @ X184 )
=> ( ( in @ X187 @ X189 )
<=> ( in @ X188 @ X189 ) ) )
=> ( X187 = X188 ) ) )
& ! [X190: $i,X191: $i] :
( ( ( in @ X190 @ X184 )
& ( in @ X191 @ X184 ) )
=> ( ! [X192: $i] :
( ( in @ X192 @ X190 )
=> ( in @ X192 @ X191 ) )
| ! [X193: $i] :
( ( in @ X193 @ X191 )
=> ( in @ X193 @ X190 ) ) ) )
& ! [X194: $i] :
( ( ! [X195: $i] :
( ( in @ X195 @ X194 )
=> ( in @ X195 @ X183 ) )
& ? [X196: $i] : ( in @ X196 @ X194 ) )
=> ? [X197: $i,X198: $i] :
( ( in @ X197 @ X184 )
& ( in @ X198 @ X194 )
& ~ ? [X199: $i] :
( ( in @ X199 @ X197 )
& ( in @ X199 @ X194 ) )
& ! [X200: $i] :
( ( in @ X200 @ X184 )
=> ( ! [X201: $i] :
( ( in @ X201 @ X200 )
=> ( in @ X201 @ X197 ) )
| ( in @ X198 @ X200 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_73,negated_conjecture,
~ ( ! [X154: $i,X155: $i] :
( ! [X156: $i] :
( ( in @ X156 @ X154 )
<=> ( in @ X156 @ X155 ) )
=> ( X154 = X155 ) )
=> ( ! [X157: $i] :
~ ( in @ X157 @ emptyset )
=> ( ! [X158: $i,X159: $i,X160: $i] :
( ( in @ X160 @ ( setadjoin @ X158 @ X159 ) )
<=> ( ( X160 = X158 )
| ( in @ X160 @ X159 ) ) )
=> ( ! [X161: $i,X162: $i] :
( ( in @ X162 @ ( powerset @ X161 ) )
<=> ! [X163: $i] :
( ( in @ X163 @ X162 )
=> ( in @ X163 @ X161 ) ) )
=> ( ! [X164: $i,X165: $i] :
( ( in @ X165 @ ( setunion @ X164 ) )
<=> ? [X166: $i] :
( ( in @ X165 @ X166 )
& ( in @ X166 @ X164 ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [X167: $i] :
( ( in @ X167 @ omega )
=> ( in @ ( setadjoin @ X167 @ X167 ) @ omega ) )
=> ( ! [X168: $i] :
( ( ( in @ emptyset @ X168 )
& ! [X169: $i] :
( ( ( in @ X169 @ omega )
& ( in @ X169 @ X168 ) )
=> ( in @ ( setadjoin @ X169 @ X169 ) @ X168 ) ) )
=> ! [X170: $i] :
( ( in @ X170 @ omega )
=> ( in @ X170 @ X168 ) ) )
=> ( ! [X171: $i > $i > $o,X172: $i] :
( ! [X173: $i] :
( ( in @ X173 @ X172 )
=> ? [X174: $i] :
( ( X171 @ X173 @ X174 )
& ! [X175: $i] :
( ( X171 @ X173 @ X175 )
=> ( X174 = X175 ) ) ) )
=> ? [X176: $i] :
! [X177: $i] :
( ( in @ X177 @ X176 )
<=> ? [X178: $i] :
( ( in @ X178 @ X172 )
& ( X171 @ X178 @ X177 ) ) ) )
=> ( ! [X179: $i] :
( ? [X180: $i] : ( in @ X180 @ X179 )
=> ? [X181: $i] :
( ( in @ X181 @ X179 )
& ~ ? [X182: $i] :
( ( in @ X182 @ X181 )
& ( in @ X182 @ X179 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X202: $i,X203: $i > $o,X204: $i] :
( ( in @ X204 @ X202 )
=> ( ( X203 @ X204 )
=> ( in @ X204
@ ( dsetconstr @ X202
@ ^ [Z0: $i] : ( X203 @ Z0 ) ) ) ) )
=> ( ! [X205: $i,X206: $i > $o,X207: $i] :
( ( in @ X207
@ ( dsetconstr @ X205
@ ^ [Z0: $i] : ( X206 @ Z0 ) ) )
=> ( in @ X207 @ X205 ) )
=> ( ! [X208: $i,X209: $i > $o,X210: $i] :
( ( in @ X210
@ ( dsetconstr @ X208
@ ^ [Z0: $i] : ( X209 @ Z0 ) ) )
=> ( X209 @ X210 ) )
=> ( ! [X211: $i > $o] :
( ? [X212: $i] :
( ( X211 @ X212 )
& ! [X213: $i] :
( ( X211 @ X213 )
=> ( X212 = X213 ) ) )
=> ? [X214: $i] :
( ( X211 @ X214 )
& ! [X215: $i] :
( ( X211 @ X215 )
=> ( X214 = X215 ) ) ) )
=> ( ! [X216: $o,X217: $i] :
( ( in @ X217
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X216 ) )
=> X216 )
=> ( ! [X218: $i] :
( ( in @ X218 @ emptyset )
=> ! [X219: $o] : X219 )
=> ( ! [X220: $i] :
~ ( in @ X220 @ emptyset )
=> ( ! [X221: $i] :
~ ( in @ X221 @ emptyset )
=> ( ! [X222: $i > $o] :
( ? [X223: $i] :
( ( X222 @ X223 )
& ! [X224: $i] :
( ( X222 @ X224 )
=> ( X223 = X224 ) ) )
=> ? [X225: $i] : ( X222 @ X225 ) )
=> ( ! [X226: $i,X227: $i] :
( ! [X228: $i] :
( ( in @ X228 @ X226 )
=> ( in @ X228 @ X227 ) )
=> ( ! [X229: $i] :
( ( in @ X229 @ X227 )
=> ( in @ X229 @ X226 ) )
=> ( X226 = X227 ) ) )
=> ( ! [X230: $i] :
( ! [X231: $i] :
~ ( in @ X231 @ X230 )
=> ( X230 = emptyset ) )
=> ( ! [X232: $i] :
( ! [X233: $i] :
~ ( in @ X233 @ X232 )
=> ( X232 = emptyset ) )
=> ( ! [X234: $i,X235: $i > $o,X236: $i] :
( ( in @ X236 @ X234 )
=> ( ( in @ X236
@ ( dsetconstr @ X234
@ ^ [Z0: $i] : ( X235 @ Z0 ) ) )
<=> ( X235 @ X236 ) ) )
=> ( ! [X237: $i] :
( ( X237 != emptyset )
=> ? [X238: $i] : ( in @ X238 @ X237 ) )
=> ( ! [X239: $i,X240: $i > $o,X241: $i] :
( ( in @ X241 @ X239 )
=> ( ( X240 @ X241 )
=> ( ( dsetconstr @ X239
@ ^ [Z0: $i] : ( X240 @ Z0 ) )
!= emptyset ) ) )
=> ( ! [X242: $i] :
( ? [X243: $i] : ( in @ X243 @ X242 )
=> ( X242 != emptyset ) )
=> ( ! [X244: $i,X245: $i] : ( in @ X244 @ ( setadjoin @ X244 @ X245 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [X246: $i,X247: $i,X248: $i] :
( ( in @ X248 @ X247 )
=> ( in @ X248 @ ( setadjoin @ X246 @ X247 ) ) )
=> ( ! [X249: $i,X250: $i,X251: $i] :
( ( in @ X251 @ ( setadjoin @ X249 @ X250 ) )
=> ! [X252: $o] :
( ( ( X251 = X249 )
=> X252 )
=> ( ( ( in @ X251 @ X250 )
=> X252 )
=> X252 ) ) )
=> ( ! [X253: $i,X254: $i,X255: $i] :
( ( in @ X255 @ ( setadjoin @ X253 @ X254 ) )
=> ( ( X255 = X253 )
| ( in @ X255 @ X254 ) ) )
=> ( ! [X256: $i] :
( ( dsetconstr @ X256
@ ^ [Z0: $i] : $true )
= X256 )
=> ( ! [X257: $i,X258: $i] :
( ! [X259: $i] :
( ( in @ X259 @ X258 )
=> ( in @ X259 @ X257 ) )
=> ( in @ X258 @ ( powerset @ X257 ) ) )
=> ( ! [X260: $i] : ( in @ emptyset @ ( powerset @ X260 ) )
=> ( ! [X261: $i] : ( in @ emptyset @ ( powerset @ X261 ) )
=> ( ! [X262: $i,X263: $i,X264: $i] :
( ( in @ X263 @ ( powerset @ X262 ) )
=> ( ( in @ X264 @ X263 )
=> ( in @ X264 @ X262 ) ) )
=> ( ! [X265: $i,X266: $i,X267: $i] :
( ( in @ X266 @ X267 )
=> ( ( in @ X267 @ X265 )
=> ( in @ X266 @ ( setunion @ X265 ) ) ) )
=> ( ! [X268: $i,X269: $i] :
( ( in @ X269 @ ( setunion @ X268 ) )
=> ! [X270: $o] :
( ! [X271: $i] :
( ( in @ X269 @ X271 )
=> ( ( in @ X271 @ X268 )
=> X270 ) )
=> X270 ) )
=> ( ! [X272: $i,X273: $i] :
( ( in @ X273 @ X272 )
=> ( in @ X273 @ ( powerset @ ( setunion @ X272 ) ) ) )
=> ( ! [X274: $i > $o] :
( ? [X275: $i] :
( ( X274 @ X275 )
& ! [X276: $i] :
( ( X274 @ X276 )
=> ( X275 = X276 ) ) )
=> ? [X277: $i] :
! [X278: $i] :
( ( X274 @ X278 )
<=> ( X278 = X277 ) ) )
=> ( ! [X279: $i] :
( ( X279 != emptyset )
=> ? [X280: $i] : ( in @ X280 @ X279 ) )
=> ( ! [X281: $i,X282: $i] :
( ( in @ X281 @ ( setadjoin @ X282 @ emptyset ) )
=> ( X281 = X282 ) )
=> ( ! [X283: $i,X284: $i] :
( ( X283 != X284 )
=> ~ ( in @ X284 @ ( setadjoin @ X283 @ emptyset ) ) )
=> ( ! [X285: $i,X286: $i] :
( ( X285 = X286 )
=> ( in @ X285 @ ( setadjoin @ X286 @ emptyset ) ) )
=> ( ! [X287: $i,X288: $i] :
( ( in @ X287 @ ( setadjoin @ X288 @ emptyset ) )
=> ( in @ X288 @ ( setadjoin @ X287 @ emptyset ) ) )
=> ! [X2: $i,X3: $i,X15: $i] :
( ( in @ X15 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) )
=> ( ( X15 = X2 )
| ( X15 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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(assume_negation,[status(cth)],[upairsetE]),emptyI]),singletonsswitch]),emptyInPowerset]),c_0_58]),powersetE]),setunionI]),setunionE]),c_0_59]),subPowSU]),c_0_60]),c_0_61]),c_0_62]),uniqinunit]),c_0_63]),notinsingleton]),eqinunit]),emptysetE]),emptysetimpfalse]),notinemptyset]),c_0_64]),setext]),noeltsimpempty]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_69]),powersetI]),emptyinPowerset]),c_0_70]),wellorderingAx]),foundationAx]),c_0_71]),omegaIndAx]),omegaSAx]),omega0Ax]),setunionAx]),powersetAx]),setadjoinAx]),emptysetAx]),setextAx])]),c_0_72]) ).
thf(c_0_74,negated_conjecture,
! [X289: $i,X290: $i,X292: $i,X293: $i,X294: $i,X295: $i,X296: $i,X297: $i,X298: $i,X299: $i,X300: $i,X302: $i,X303: $i,X305: $i,X306: $i,X307: $i,X308: $i,X309: $i,X311: $i,X312: $i > $i > $o,X313: $i,X315: $i,X318: $i,X320: $i,X321: $i,X322: $i,X323: $i,X325: $i,X326: $i,X327: $i > $o,X328: $i,X329: $i,X330: $i > $o,X331: $i,X332: $i,X333: $i > $o,X334: $i,X335: $i > $o,X336: $i,X339: $i,X340: $o,X341: $i,X342: $i,X343: $o,X344: $i,X345: $i,X346: $i > $o,X347: $i,X350: $i,X351: $i,X354: $i,X356: $i,X358: $i,X359: $i > $o,X360: $i,X361: $i,X363: $i,X364: $i > $o,X365: $i,X366: $i,X367: $i,X368: $i,X369: $i,X370: $i,X371: $i,X372: $i,X373: $i,X374: $i,X375: $i,X376: $o,X377: $i,X378: $i,X379: $i,X380: $i,X381: $i,X382: $i,X384: $i,X385: $i,X386: $i,X387: $i,X388: $i,X389: $i,X390: $i,X391: $i,X392: $i,X393: $i,X394: $o,X396: $i,X397: $i,X398: $i > $o,X399: $i,X402: $i,X403: $i,X404: $i,X406: $i,X407: $i,X408: $i,X409: $i,X410: $i,X411: $i,X412: $i,X413: $i] :
( ( ~ ( in @ ( esk1_2 @ X289 @ X290 ) @ X289 )
| ~ ( in @ ( esk1_2 @ X289 @ X290 ) @ X290 )
| ( X289 = X290 ) )
& ( ( in @ ( esk1_2 @ X289 @ X290 ) @ X289 )
| ( in @ ( esk1_2 @ X289 @ X290 ) @ X290 )
| ( X289 = X290 ) )
& ~ ( in @ X292 @ emptyset )
& ( ~ ( in @ X295 @ ( setadjoin @ X293 @ X294 ) )
| ( X295 = X293 )
| ( in @ X295 @ X294 ) )
& ( ( X295 != X293 )
| ( in @ X295 @ ( setadjoin @ X293 @ X294 ) ) )
& ( ~ ( in @ X295 @ X294 )
| ( in @ X295 @ ( setadjoin @ X293 @ X294 ) ) )
& ( ~ ( in @ X297 @ ( powerset @ X296 ) )
| ~ ( in @ X298 @ X297 )
| ( in @ X298 @ X296 ) )
& ( ( in @ ( esk2_2 @ X299 @ X300 ) @ X300 )
| ( in @ X300 @ ( powerset @ X299 ) ) )
& ( ~ ( in @ ( esk2_2 @ X299 @ X300 ) @ X299 )
| ( in @ X300 @ ( powerset @ X299 ) ) )
& ( ( in @ X303 @ ( esk3_2 @ X302 @ X303 ) )
| ~ ( in @ X303 @ ( setunion @ X302 ) ) )
& ( ( in @ ( esk3_2 @ X302 @ X303 ) @ X302 )
| ~ ( in @ X303 @ ( setunion @ X302 ) ) )
& ( ~ ( in @ X306 @ X307 )
| ~ ( in @ X307 @ X305 )
| ( in @ X306 @ ( setunion @ X305 ) ) )
& ( in @ emptyset @ omega )
& ( ~ ( in @ X308 @ omega )
| ( in @ ( setadjoin @ X308 @ X308 ) @ omega ) )
& ( ( in @ ( esk4_1 @ X309 ) @ omega )
| ~ ( in @ emptyset @ X309 )
| ~ ( in @ X311 @ omega )
| ( in @ X311 @ X309 ) )
& ( ( in @ ( esk4_1 @ X309 ) @ X309 )
| ~ ( in @ emptyset @ X309 )
| ~ ( in @ X311 @ omega )
| ( in @ X311 @ X309 ) )
& ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X309 ) @ ( esk4_1 @ X309 ) ) @ X309 )
| ~ ( in @ emptyset @ X309 )
| ~ ( in @ X311 @ omega )
| ( in @ X311 @ X309 ) )
& ( ( in @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X313 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( in @ ( esk5_2 @ X312 @ X313 ) @ X313 ) )
& ( ( X312 @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X318 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( in @ ( esk5_2 @ X312 @ X313 ) @ X313 ) )
& ( ~ ( in @ X321 @ X313 )
| ~ ( X312 @ X321 @ X320 )
| ( in @ X320 @ ( esk7_2 @ X312 @ X313 ) )
| ( in @ ( esk5_2 @ X312 @ X313 ) @ X313 ) )
& ( ( in @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X313 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( X312 @ ( esk5_2 @ X312 @ X313 ) @ ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ( X312 @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X318 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( X312 @ ( esk5_2 @ X312 @ X313 ) @ ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ~ ( in @ X321 @ X313 )
| ~ ( X312 @ X321 @ X320 )
| ( in @ X320 @ ( esk7_2 @ X312 @ X313 ) )
| ( X312 @ ( esk5_2 @ X312 @ X313 ) @ ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ( in @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X313 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( X315
!= ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ( X312 @ ( esk8_3 @ X312 @ X313 @ X318 ) @ X318 )
| ~ ( in @ X318 @ ( esk7_2 @ X312 @ X313 ) )
| ( X315
!= ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ~ ( in @ X321 @ X313 )
| ~ ( X312 @ X321 @ X320 )
| ( in @ X320 @ ( esk7_2 @ X312 @ X313 ) )
| ( X315
!= ( esk6_3 @ X312 @ X313 @ X315 ) )
| ~ ( X312 @ ( esk5_2 @ X312 @ X313 ) @ X315 ) )
& ( ( in @ ( esk9_1 @ X322 ) @ X322 )
| ~ ( in @ X323 @ X322 ) )
& ( ~ ( in @ X325 @ ( esk9_1 @ X322 ) )
| ~ ( in @ X325 @ X322 )
| ~ ( in @ X323 @ X322 ) )
& epred1_0
& descrp
& ( ~ ( in @ X328 @ X326 )
| ~ ( X327 @ X328 )
| ( in @ X328
@ ( dsetconstr @ X326
@ ^ [Z0: $i] : ( X327 @ Z0 ) ) ) )
& ( ~ ( in @ X331
@ ( dsetconstr @ X329
@ ^ [Z0: $i] : ( X330 @ Z0 ) ) )
| ( in @ X331 @ X329 ) )
& ( ~ ( in @ X334
@ ( dsetconstr @ X332
@ ^ [Z0: $i] : ( X333 @ Z0 ) ) )
| ( X333 @ X334 ) )
& ( ( X335 @ ( esk11_1 @ X335 ) )
| ( X335 @ ( esk10_2 @ X335 @ X336 ) )
| ~ ( X335 @ X336 ) )
& ( ~ ( X335 @ X339 )
| ( ( esk11_1 @ X335 )
= X339 )
| ( X335 @ ( esk10_2 @ X335 @ X336 ) )
| ~ ( X335 @ X336 ) )
& ( ( X335 @ ( esk11_1 @ X335 ) )
| ( X336
!= ( esk10_2 @ X335 @ X336 ) )
| ~ ( X335 @ X336 ) )
& ( ~ ( X335 @ X339 )
| ( ( esk11_1 @ X335 )
= X339 )
| ( X336
!= ( esk10_2 @ X335 @ X336 ) )
| ~ ( X335 @ X336 ) )
& ( ~ ( in @ X341
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X340 ) )
| X340 )
& ( ~ ( in @ X342 @ emptyset )
| X343 )
& ~ ( in @ X344 @ emptyset )
& ~ ( in @ X345 @ emptyset )
& ( ( X346 @ ( esk12_2 @ X346 @ X347 ) )
| ~ ( X346 @ X347 )
| ( X346 @ ( esk13_1 @ X346 ) ) )
& ( ( X347
!= ( esk12_2 @ X346 @ X347 ) )
| ~ ( X346 @ X347 )
| ( X346 @ ( esk13_1 @ X346 ) ) )
& ( ( in @ ( esk15_2 @ X350 @ X351 ) @ X351 )
| ( X350 = X351 )
| ( in @ ( esk14_2 @ X350 @ X351 ) @ X350 ) )
& ( ~ ( in @ ( esk15_2 @ X350 @ X351 ) @ X350 )
| ( X350 = X351 )
| ( in @ ( esk14_2 @ X350 @ X351 ) @ X350 ) )
& ( ( in @ ( esk15_2 @ X350 @ X351 ) @ X351 )
| ( X350 = X351 )
| ~ ( in @ ( esk14_2 @ X350 @ X351 ) @ X351 ) )
& ( ~ ( in @ ( esk15_2 @ X350 @ X351 ) @ X350 )
| ( X350 = X351 )
| ~ ( in @ ( esk14_2 @ X350 @ X351 ) @ X351 ) )
& ( ( in @ ( esk16_1 @ X354 ) @ X354 )
| ( X354 = emptyset ) )
& ( ( in @ ( esk17_1 @ X356 ) @ X356 )
| ( X356 = emptyset ) )
& ( ~ ( in @ X360
@ ( dsetconstr @ X358
@ ^ [Z0: $i] : ( X359 @ Z0 ) ) )
| ( X359 @ X360 )
| ~ ( in @ X360 @ X358 ) )
& ( ~ ( X359 @ X360 )
| ( in @ X360
@ ( dsetconstr @ X358
@ ^ [Z0: $i] : ( X359 @ Z0 ) ) )
| ~ ( in @ X360 @ X358 ) )
& ( ( X361 = emptyset )
| ( in @ ( esk18_1 @ X361 ) @ X361 ) )
& ( ~ ( in @ X365 @ X363 )
| ~ ( X364 @ X365 )
| ( ( dsetconstr @ X363
@ ^ [Z0: $i] : ( X364 @ Z0 ) )
!= emptyset ) )
& ( ~ ( in @ X367 @ X366 )
| ( X366 != emptyset ) )
& ( in @ X368 @ ( setadjoin @ X368 @ X369 ) )
& ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
& ( ~ ( in @ X372 @ X371 )
| ( in @ X372 @ ( setadjoin @ X370 @ X371 ) ) )
& ( ( in @ X375 @ X374 )
| X376
| ( X375 = X373 )
| ~ ( in @ X375 @ ( setadjoin @ X373 @ X374 ) ) )
& ( ~ X376
| X376
| ( X375 = X373 )
| ~ ( in @ X375 @ ( setadjoin @ X373 @ X374 ) ) )
& ( ( in @ X375 @ X374 )
| X376
| ~ X376
| ~ ( in @ X375 @ ( setadjoin @ X373 @ X374 ) ) )
& ( ~ X376
| X376
| ~ X376
| ~ ( in @ X375 @ ( setadjoin @ X373 @ X374 ) ) )
& ( ~ ( in @ X379 @ ( setadjoin @ X377 @ X378 ) )
| ( X379 = X377 )
| ( in @ X379 @ X378 ) )
& ( ( dsetconstr @ X380
@ ^ [Z0: $i] : $true )
= X380 )
& ( ( in @ ( esk19_2 @ X381 @ X382 ) @ X382 )
| ( in @ X382 @ ( powerset @ X381 ) ) )
& ( ~ ( in @ ( esk19_2 @ X381 @ X382 ) @ X381 )
| ( in @ X382 @ ( powerset @ X381 ) ) )
& ( in @ emptyset @ ( powerset @ X384 ) )
& ( in @ emptyset @ ( powerset @ X385 ) )
& ( ~ ( in @ X387 @ ( powerset @ X386 ) )
| ~ ( in @ X388 @ X387 )
| ( in @ X388 @ X386 ) )
& ( ~ ( in @ X390 @ X391 )
| ~ ( in @ X391 @ X389 )
| ( in @ X390 @ ( setunion @ X389 ) ) )
& ( ( in @ X393 @ ( esk20_3 @ X392 @ X393 @ X394 ) )
| X394
| ~ ( in @ X393 @ ( setunion @ X392 ) ) )
& ( ( in @ ( esk20_3 @ X392 @ X393 @ X394 ) @ X392 )
| X394
| ~ ( in @ X393 @ ( setunion @ X392 ) ) )
& ( ~ X394
| X394
| ~ ( in @ X393 @ ( setunion @ X392 ) ) )
& ( ~ ( in @ X397 @ X396 )
| ( in @ X397 @ ( powerset @ ( setunion @ X396 ) ) ) )
& ( ~ ( X398 @ X402 )
| ( X402
= ( esk22_1 @ X398 ) )
| ( X398 @ ( esk21_2 @ X398 @ X399 ) )
| ~ ( X398 @ X399 ) )
& ( ( X403
!= ( esk22_1 @ X398 ) )
| ( X398 @ X403 )
| ( X398 @ ( esk21_2 @ X398 @ X399 ) )
| ~ ( X398 @ X399 ) )
& ( ~ ( X398 @ X402 )
| ( X402
= ( esk22_1 @ X398 ) )
| ( X399
!= ( esk21_2 @ X398 @ X399 ) )
| ~ ( X398 @ X399 ) )
& ( ( X403
!= ( esk22_1 @ X398 ) )
| ( X398 @ X403 )
| ( X399
!= ( esk21_2 @ X398 @ X399 ) )
| ~ ( X398 @ X399 ) )
& ( ( X404 = emptyset )
| ( in @ ( esk23_1 @ X404 ) @ X404 ) )
& ( ~ ( in @ X406 @ ( setadjoin @ X407 @ emptyset ) )
| ( X406 = X407 ) )
& ( ( X408 = X409 )
| ~ ( in @ X409 @ ( setadjoin @ X408 @ emptyset ) ) )
& ( ( X410 != X411 )
| ( in @ X410 @ ( setadjoin @ X411 @ emptyset ) ) )
& ( ~ ( in @ X412 @ ( setadjoin @ X413 @ emptyset ) )
| ( in @ X413 @ ( setadjoin @ X412 @ emptyset ) ) )
& ( in @ esk26_0 @ ( setadjoin @ esk24_0 @ ( setadjoin @ esk25_0 @ emptyset ) ) )
& ( esk26_0 != esk24_0 )
& ( esk26_0 != esk25_0 ) ),
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_73])])])])])]) ).
thf(c_0_75,negated_conjecture,
! [X2: $i,X4: $i,X3: $i] :
( ( in @ X2 @ X3 )
| ( X2 = X4 )
| ~ ( in @ X2 @ ( setadjoin @ X4 @ X3 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_74])])]) ).
thf(c_0_76,negated_conjecture,
in @ esk26_0 @ ( setadjoin @ esk24_0 @ ( setadjoin @ esk25_0 @ emptyset ) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_77,negated_conjecture,
esk26_0 != esk24_0,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_78,negated_conjecture,
in @ esk26_0 @ ( setadjoin @ esk25_0 @ emptyset ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
thf(c_0_79,negated_conjecture,
esk26_0 != esk25_0,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_80,negated_conjecture,
! [X2: $i] :
~ ( in @ X2 @ emptyset ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_78]),c_0_79]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU531^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:17:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 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
% 0.21/0.54 # Version: 3.1.0-ho
% 0.21/0.54 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.54 # Starting sh5l with 300s (1) cores
% 0.21/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.54 # new_bool_2 with pid 24825 completed with status 0
% 0.21/0.54 # Result found by new_bool_2
% 0.21/0.54 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.54 # Starting sh5l with 300s (1) cores
% 0.21/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54 # Search class: HGHSM-FFMS31-SHFSMSBN
% 0.21/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.54 # new_ho_10 with pid 24826 completed with status 0
% 0.21/0.54 # Result found by new_ho_10
% 0.21/0.54 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.54 # Starting sh5l with 300s (1) cores
% 0.21/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54 # Search class: HGHSM-FFMS31-SHFSMSBN
% 0.21/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.54 # Preprocessing time : 0.005 s
% 0.21/0.54 # Presaturation interreduction done
% 0.21/0.54
% 0.21/0.54 # Proof found!
% 0.21/0.54 # SZS status Theorem
% 0.21/0.54 # SZS output start CNFRefutation
% See solution above
% 0.21/0.54 # Parsed axioms : 109
% 0.21/0.54 # Removed by relevancy pruning/SinE : 59
% 0.21/0.54 # Initial clauses : 98
% 0.21/0.54 # Removed in clause preprocessing : 4
% 0.21/0.54 # Initial clauses in saturation : 94
% 0.21/0.54 # Processed clauses : 154
% 0.21/0.54 # ...of these trivial : 3
% 0.21/0.54 # ...subsumed : 17
% 0.21/0.54 # ...remaining for further processing : 134
% 0.21/0.54 # Other redundant clauses eliminated : 6
% 0.21/0.54 # Clauses deleted for lack of memory : 0
% 0.21/0.54 # Backward-subsumed : 0
% 0.21/0.54 # Backward-rewritten : 3
% 0.21/0.54 # Generated clauses : 145
% 0.21/0.54 # ...of the previous two non-redundant : 130
% 0.21/0.54 # ...aggressively subsumed : 0
% 0.21/0.54 # Contextual simplify-reflections : 0
% 0.21/0.54 # Paramodulations : 139
% 0.21/0.54 # Factorizations : 0
% 0.21/0.54 # NegExts : 0
% 0.21/0.54 # Equation resolutions : 6
% 0.21/0.54 # Disequality decompositions : 0
% 0.21/0.54 # Total rewrite steps : 28
% 0.21/0.54 # ...of those cached : 18
% 0.21/0.54 # Propositional unsat checks : 0
% 0.21/0.54 # Propositional check models : 0
% 0.21/0.54 # Propositional check unsatisfiable : 0
% 0.21/0.54 # Propositional clauses : 0
% 0.21/0.54 # Propositional clauses after purity: 0
% 0.21/0.54 # Propositional unsat core size : 0
% 0.21/0.54 # Propositional preprocessing time : 0.000
% 0.21/0.54 # Propositional encoding time : 0.000
% 0.21/0.54 # Propositional solver time : 0.000
% 0.21/0.54 # Success case prop preproc time : 0.000
% 0.21/0.54 # Success case prop encoding time : 0.000
% 0.21/0.54 # Success case prop solver time : 0.000
% 0.21/0.54 # Current number of processed clauses : 48
% 0.21/0.54 # Positive orientable unit clauses : 13
% 0.21/0.54 # Positive unorientable unit clauses: 0
% 0.21/0.54 # Negative unit clauses : 3
% 0.21/0.54 # Non-unit-clauses : 32
% 0.21/0.54 # Current number of unprocessed clauses: 141
% 0.21/0.54 # ...number of literals in the above : 388
% 0.21/0.54 # Current number of archived formulas : 0
% 0.21/0.54 # Current number of archived clauses : 81
% 0.21/0.54 # Clause-clause subsumption calls (NU) : 2387
% 0.21/0.54 # Rec. Clause-clause subsumption calls : 1158
% 0.21/0.54 # Non-unit clause-clause subsumptions : 11
% 0.21/0.54 # Unit Clause-clause subsumption calls : 30
% 0.21/0.54 # Rewrite failures with RHS unbound : 0
% 0.21/0.54 # BW rewrite match attempts : 11
% 0.21/0.54 # BW rewrite match successes : 3
% 0.21/0.54 # Condensation attempts : 154
% 0.21/0.54 # Condensation successes : 3
% 0.21/0.54 # Termbank termtop insertions : 13924
% 0.21/0.54 # Search garbage collected termcells : 4060
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.023 s
% 0.21/0.54 # System time : 0.005 s
% 0.21/0.54 # Total time : 0.028 s
% 0.21/0.54 # Maximum resident set size: 3048 pages
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.025 s
% 0.21/0.54 # System time : 0.009 s
% 0.21/0.54 # Total time : 0.034 s
% 0.21/0.54 # Maximum resident set size: 1836 pages
% 0.21/0.54 % E---3.1 exiting
% 0.21/0.54 % E exiting
%------------------------------------------------------------------------------