TSTP Solution File: SEU574^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU574^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 03:28:17 EDT 2024
% Result : Theorem 1.26s 0.67s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 253
% Syntax : Number of formulae : 304 ( 26 unt; 159 typ; 0 def)
% Number of atoms : 1150 ( 332 equ; 0 cnn)
% Maximal formula atoms : 348 ( 7 avg)
% Number of connectives : 4485 ( 411 ~; 458 |; 279 &;2625 @)
% ( 153 <=>; 559 =>; 0 <=; 0 <~>)
% Maximal formula depth : 409 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 306 ( 306 >; 0 *; 0 +; 0 <<)
% Number of symbols : 162 ( 159 usr; 97 con; 0-4 aty)
% Number of variables : 961 ( 63 ^ 794 !; 104 ?; 961 :)
% 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_40,type,
descr: ( $i > $o ) > $i ).
thf(decl_41,type,
descrp: $o ).
thf(decl_42,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_43,type,
dsetconstrI: $o ).
thf(decl_44,type,
dsetconstrEL: $o ).
thf(decl_45,type,
dsetconstrER: $o ).
thf(decl_46,type,
exuE1: $o ).
thf(decl_47,type,
prop2set: $o > $i ).
thf(decl_48,type,
prop2setE: $o ).
thf(decl_49,type,
emptysetE: $o ).
thf(decl_50,type,
emptysetimpfalse: $o ).
thf(decl_51,type,
notinemptyset: $o ).
thf(decl_52,type,
exuE3e: $o ).
thf(decl_53,type,
setext: $o ).
thf(decl_54,type,
emptyI: $o ).
thf(decl_55,type,
noeltsimpempty: $o ).
thf(decl_56,type,
setbeta: $o ).
thf(decl_57,type,
nonempty: $i > $o ).
thf(decl_58,type,
nonemptyE1: $o ).
thf(decl_59,type,
nonemptyI: $o ).
thf(decl_60,type,
nonemptyI1: $o ).
thf(decl_61,type,
setadjoinIL: $o ).
thf(decl_62,type,
emptyinunitempty: $o ).
thf(decl_63,type,
setadjoinIR: $o ).
thf(decl_64,type,
setadjoinE: $o ).
thf(decl_65,type,
setadjoinOr: $o ).
thf(decl_66,type,
setoftrueEq: $o ).
thf(decl_67,type,
powersetI: $o ).
thf(decl_68,type,
emptyinPowerset: $o ).
thf(decl_69,type,
emptyInPowerset: $o ).
thf(decl_70,type,
powersetE: $o ).
thf(decl_71,type,
setunionI: $o ).
thf(decl_72,type,
setunionE: $o ).
thf(decl_73,type,
subPowSU: $o ).
thf(decl_74,type,
exuE2: $o ).
thf(decl_75,type,
nonemptyImpWitness: $o ).
thf(decl_76,type,
uniqinunit: $o ).
thf(decl_77,type,
notinsingleton: $o ).
thf(decl_78,type,
eqinunit: $o ).
thf(decl_79,type,
singletonsswitch: $o ).
thf(decl_80,type,
upairsetE: $o ).
thf(decl_81,type,
upairsetIL: $o ).
thf(decl_82,type,
upairsetIR: $o ).
thf(decl_83,type,
emptyE1: $o ).
thf(decl_84,type,
vacuousDall: $o ).
thf(decl_85,type,
quantDeMorgan1: $o ).
thf(decl_86,type,
quantDeMorgan2: $o ).
thf(decl_87,type,
quantDeMorgan3: $o ).
thf(decl_88,type,
quantDeMorgan4: $o ).
thf(decl_89,type,
prop2setI: $o ).
thf(decl_90,type,
set2prop: $i > $o ).
thf(decl_91,type,
prop2set2propI: $o ).
thf(decl_92,type,
notdexE: $o ).
thf(decl_93,type,
notdallE: $o ).
thf(decl_94,type,
exuI1: $o ).
thf(decl_95,type,
exuI3: $o ).
thf(decl_96,type,
exuI2: $o ).
thf(decl_97,type,
inCongP: $o ).
thf(decl_98,type,
in__Cong: $o ).
thf(decl_99,type,
exuE3u: $o ).
thf(decl_100,type,
exu__Cong: $o ).
thf(decl_101,type,
emptyset__Cong: $o ).
thf(decl_102,type,
setadjoin__Cong: $o ).
thf(decl_103,type,
powerset__Cong: $o ).
thf(decl_104,type,
setunion__Cong: $o ).
thf(decl_105,type,
omega__Cong: $o ).
thf(decl_106,type,
exuEu: $o ).
thf(decl_107,type,
descr__Cong: $o ).
thf(decl_108,type,
dsetconstr__Cong: $o ).
thf(decl_109,type,
subset: $i > $i > $o ).
thf(decl_112,type,
subsetI1: $o ).
thf(decl_113,type,
eqimpsubset2: $o ).
thf(decl_114,type,
eqimpsubset1: $o ).
thf(decl_115,type,
subsetI2: $o ).
thf(decl_116,type,
emptysetsubset: $o ).
thf(decl_117,type,
subsetE: $o ).
thf(decl_118,type,
subsetE2: $o ).
thf(decl_119,type,
notsubsetI: $o ).
thf(decl_120,type,
notequalI1: $o ).
thf(decl_121,type,
notequalI2: $o ).
thf(decl_122,type,
subsetRefl: $o ).
thf(decl_123,type,
subsetTrans: $o ).
thf(decl_124,type,
setadjoinSub: $o ).
thf(decl_125,type,
setadjoinSub2: $o ).
thf(decl_126,type,
subset2powerset: $o ).
thf(decl_127,type,
epred1_0: $o ).
thf(decl_128,type,
esk1_2: $i > $i > $i ).
thf(decl_129,type,
esk2_2: $i > $i > $i ).
thf(decl_130,type,
esk3_2: $i > $i > $i ).
thf(decl_131,type,
esk4_1: $i > $i ).
thf(decl_132,type,
esk5_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_133,type,
esk6_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_134,type,
esk7_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_135,type,
esk8_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_136,type,
esk9_1: $i > $i ).
thf(decl_137,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(decl_138,type,
esk11_2: ( $i > $o ) > $i > $i ).
thf(decl_139,type,
esk12_1: ( $i > $o ) > $i ).
thf(decl_140,type,
esk13_2: ( $i > $o ) > $i > $i ).
thf(decl_141,type,
esk14_1: ( $i > $o ) > $i ).
thf(decl_142,type,
esk15_2: $i > $i > $i ).
thf(decl_143,type,
esk16_2: $i > $i > $i ).
thf(decl_144,type,
esk17_1: $i > $i ).
thf(decl_145,type,
esk18_1: $i > $i ).
thf(decl_146,type,
esk19_1: $i > $i ).
thf(decl_147,type,
esk20_2: $i > $i > $i ).
thf(decl_148,type,
esk21_3: $i > $i > $o > $i ).
thf(decl_149,type,
esk22_2: ( $i > $o ) > $i > $i ).
thf(decl_150,type,
esk23_1: ( $i > $o ) > $i ).
thf(decl_151,type,
esk24_1: $i > $i ).
thf(decl_152,type,
esk25_2: $i > ( $i > $o ) > $i ).
thf(decl_153,type,
esk26_2: $i > ( $i > $o ) > $i ).
thf(decl_154,type,
esk27_2: $i > ( $i > $o ) > $i ).
thf(decl_155,type,
esk28_2: $i > ( $i > $o ) > $i ).
thf(decl_156,type,
esk29_2: $i > ( $i > $o ) > $i ).
thf(decl_157,type,
esk30_2: $i > ( $i > $o ) > $i ).
thf(decl_158,type,
esk31_2: ( $i > $o ) > $i > $i ).
thf(decl_159,type,
esk32_1: ( $i > $o ) > $i ).
thf(decl_160,type,
esk33_1: ( $i > $o ) > $i ).
thf(decl_161,type,
esk34_1: ( $i > $o ) > $i ).
thf(decl_162,type,
esk35_1: ( $i > $o ) > $i ).
thf(decl_163,type,
esk36_2: ( $i > $o ) > $i > $i ).
thf(decl_164,type,
esk37_1: ( $i > $o ) > $i ).
thf(decl_165,type,
esk38_2: ( $i > $o ) > $i > $i ).
thf(decl_166,type,
esk39_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_167,type,
esk40_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_168,type,
esk41_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_169,type,
esk42_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_170,type,
esk43_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_171,type,
esk44_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_172,type,
esk45_2: ( $i > $o ) > $i > $i ).
thf(decl_173,type,
esk46_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_174,type,
esk47_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_175,type,
esk48_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_176,type,
esk49_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_177,type,
esk50_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_178,type,
esk51_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_179,type,
esk52_2: $i > $i > $i ).
thf(decl_180,type,
esk53_2: $i > $i > $i ).
thf(decl_181,type,
esk54_0: $i ).
thf(decl_182,type,
esk55_0: $i ).
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/sandbox2/benchmark/theBenchmark.p',replAx) ).
thf(exu,axiom,
( exu
= ( ^ [X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu) ).
thf(descrp,axiom,
( descrp
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ( X1
@ ( descr
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descrp) ).
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/sandbox2/benchmark/theBenchmark.p',exuE1) ).
thf(exuE3e,axiom,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3e) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonempty) ).
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/sandbox2/benchmark/theBenchmark.p',nonemptyI) ).
thf(exuE2,axiom,
( exuE2
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE2) ).
thf(exuI1,axiom,
( exuI1
<=> ! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuI1) ).
thf(exuI3,axiom,
( exuI3
<=> ! [X1: $i > $o] :
( ? [X2: $i] : ( X1 @ X2 )
=> ( ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuI3) ).
thf(exuI2,axiom,
( exuI2
<=> ! [X1: $i > $o] :
( ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) )
=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuI2) ).
thf(exuE3u,axiom,
( exuE3u
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3u) ).
thf(exu__Cong,axiom,
( exu__Cong
<=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
<=> ( exu
@ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu__Cong) ).
thf(exuEu,axiom,
( exuEu
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuEu) ).
thf(descr__Cong,axiom,
( descr__Cong
<=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ( ( exu
@ ^ [X2: $i] : ( X17 @ X2 ) )
=> ( ( descr
@ ^ [X2: $i] : ( X1 @ X2 ) )
= ( descr
@ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descr__Cong) ).
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/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dsetconstrER) ).
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/sandbox2/benchmark/theBenchmark.p',setbeta) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyE1) ).
thf(nonemptyI1,axiom,
( nonemptyI1
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI1) ).
thf(setoftrueEq,axiom,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [X2: $i] : $true )
= X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setoftrueEq) ).
thf(nonemptyImpWitness,axiom,
( nonemptyImpWitness
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyImpWitness) ).
thf(emptyE1,axiom,
( emptyE1
<=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ( ( ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
= emptyset )
=> ~ $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyE1) ).
thf(dsetconstr__Cong,axiom,
( dsetconstr__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) ) ) )
=> ( ( dsetconstr @ X4
@ ^ [X2: $i] : ( X1 @ X2 ) )
= ( dsetconstr @ X5
@ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstr__Cong) ).
thf(setextsub,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( ( subset @ X5 @ X4 )
=> ( X4 = X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextsub) ).
thf(setextAx,axiom,
( setextAx
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
<=> ( in @ X2 @ X5 ) )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextAx) ).
thf(emptysetAx,axiom,
( emptysetAx
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetAx) ).
thf(setadjoinAx,axiom,
( setadjoinAx
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
<=> ( ( X3 = X2 )
| ( in @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx) ).
thf(powersetAx,axiom,
( powersetAx
<=> ! [X4: $i,X5: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
<=> ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx) ).
thf(setunionAx,axiom,
( setunionAx
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
<=> ? [X5: $i] :
( ( in @ X2 @ X5 )
& ( in @ X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx) ).
thf(omega0Ax,axiom,
( omega0Ax
<=> ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaSAx,axiom,
( omegaSAx
<=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
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/sandbox2/benchmark/theBenchmark.p',omegaIndAx) ).
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/sandbox2/benchmark/theBenchmark.p',foundationAx) ).
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/sandbox2/benchmark/theBenchmark.p',wellorderingAx) ).
thf(prop2setE,axiom,
( prop2setE
<=> ! [X10: $o,X2: $i] :
( ( in @ X2 @ ( prop2set @ X10 ) )
=> X10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X11: $o] : X11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ~ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(notinemptyset,axiom,
( notinemptyset
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setext) ).
thf(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyI) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(setadjoinIL,axiom,
( setadjoinIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(emptyinunitempty,axiom,
( emptyinunitempty
<=> ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setadjoinIR) ).
thf(setadjoinE,axiom,
( setadjoinE
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
=> ! [X12: $o] :
( ( ( X3 = X2 )
=> X12 )
=> ( ( ( in @ X3 @ X4 )
=> X12 )
=> X12 ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',powersetI) ).
thf(emptyinPowerset,axiom,
( emptyinPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(emptyInPowerset,axiom,
( emptyInPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setunionI) ).
thf(setunionE,axiom,
( setunionE
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ! [X13: $o] :
( ! [X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> X13 ) )
=> X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
thf(subPowSU,axiom,
( subPowSU
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ ( powerset @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subPowSU) ).
thf(uniqinunit,axiom,
( uniqinunit
<=> ! [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit) ).
thf(notinsingleton,axiom,
( notinsingleton
<=> ! [X2: $i,X3: $i] :
( ( X2 != X3 )
=> ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinsingleton) ).
thf(eqinunit,axiom,
( eqinunit
<=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',singletonsswitch) ).
thf(upairsetE,axiom,
( upairsetE
<=> ! [X2: $i,X3: $i,X14: $i] :
( ( in @ X14 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) )
=> ( ( X14 = X2 )
| ( X14 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetE) ).
thf(upairsetIL,axiom,
( upairsetIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetIL) ).
thf(upairsetIR,axiom,
( upairsetIR
<=> ! [X2: $i,X3: $i] : ( in @ X3 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetIR) ).
thf(vacuousDall,axiom,
( vacuousDall
<=> ! [X1: $i > $o,X2: $i] :
( ( in @ X2 @ emptyset )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vacuousDall) ).
thf(quantDeMorgan1,axiom,
( quantDeMorgan1
<=> ! [X4: $i,X1: $i > $o] :
( ~ ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( X1 @ X2 ) )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& ~ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan1) ).
thf(quantDeMorgan2,axiom,
( quantDeMorgan2
<=> ! [X4: $i,X1: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ~ ( X1 @ X2 ) )
=> ~ ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan2) ).
thf(quantDeMorgan3,axiom,
( quantDeMorgan3
<=> ! [X4: $i,X1: $i > $o] :
( ~ ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ~ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan3) ).
thf(quantDeMorgan4,axiom,
( quantDeMorgan4
<=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ~ ( X1 @ X2 ) )
=> ~ ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan4) ).
thf(prop2setI,axiom,
( prop2setI
<=> ! [X15: $o] :
( X15
=> ( in @ emptyset @ ( prop2set @ X15 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setI) ).
thf(prop2set2propI,axiom,
( prop2set2propI
<=> ! [X16: $o] :
( X16
=> ( set2prop @ ( prop2set @ X16 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2set2propI) ).
thf(notdexE,axiom,
( notdexE
<=> ! [X4: $i,X1: $i > $o] :
( ~ ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ~ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notdexE) ).
thf(notdallE,axiom,
( notdallE
<=> ! [X4: $i,X1: $i > $o] :
( ~ ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( X1 @ X2 ) )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& ~ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notdallE) ).
thf(inCongP,axiom,
( inCongP
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X4 )
=> ( in @ X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inCongP) ).
thf(in__Cong,axiom,
( in__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( in @ X2 @ X4 )
<=> ( in @ X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in__Cong) ).
thf(emptyset__Cong,axiom,
( emptyset__Cong
<=> ( emptyset = emptyset ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyset__Cong) ).
thf(setadjoin__Cong,axiom,
( setadjoin__Cong
<=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ! [X14: $i,X18: $i] :
( ( X14 = X18 )
=> ( ( setadjoin @ X2 @ X14 )
= ( setadjoin @ X3 @ X18 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(powerset__Cong,axiom,
( powerset__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( ( powerset @ X4 )
= ( powerset @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powerset__Cong) ).
thf(setunion__Cong,axiom,
( setunion__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( ( setunion @ X4 )
= ( setunion @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunion__Cong) ).
thf(omega__Cong,axiom,
( omega__Cong
<=> ( omega = omega ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega__Cong) ).
thf(subsetI1,axiom,
( subsetI1
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) )
=> ( subset @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1) ).
thf(eqimpsubset2,axiom,
( eqimpsubset2
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( subset @ X5 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(eqimpsubset1,axiom,
( eqimpsubset1
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( subset @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset1) ).
thf(subsetI2,axiom,
( subsetI2
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) )
=> ( subset @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2) ).
thf(emptysetsubset,axiom,
( emptysetsubset
<=> ! [X4: $i] : ( subset @ emptyset @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetsubset) ).
thf(subsetE,axiom,
( subsetE
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( subset @ X4 @ X5 )
=> ( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE) ).
thf(subsetE2,axiom,
( subsetE2
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( subset @ X4 @ X5 )
=> ( ~ ( in @ X2 @ X5 )
=> ~ ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE2) ).
thf(notsubsetI,axiom,
( notsubsetI
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ~ ( in @ X2 @ X5 )
=> ~ ( subset @ X4 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notsubsetI) ).
thf(notequalI1,axiom,
( notequalI1
<=> ! [X4: $i,X5: $i] :
( ~ ( subset @ X4 @ X5 )
=> ( X4 != X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notequalI1) ).
thf(notequalI2,axiom,
( notequalI2
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ~ ( in @ X2 @ X5 )
=> ( X4 != X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notequalI2) ).
thf(subsetRefl,axiom,
( subsetRefl
<=> ! [X4: $i] : ( subset @ X4 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetRefl) ).
thf(subsetTrans,axiom,
( subsetTrans
<=> ! [X4: $i,X5: $i,X7: $i] :
( ( subset @ X4 @ X5 )
=> ( ( subset @ X5 @ X7 )
=> ( subset @ X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTrans) ).
thf(setadjoinSub,axiom,
( setadjoinSub
<=> ! [X2: $i,X4: $i] : ( subset @ X4 @ ( setadjoin @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinSub) ).
thf(setadjoinSub2,axiom,
( setadjoinSub2
<=> ! [X4: $i,X2: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( subset @ X4 @ ( setadjoin @ X2 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinSub2) ).
thf(subset2powerset,axiom,
( subset2powerset
<=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( in @ X4 @ ( powerset @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2powerset) ).
thf(c_0_93,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_94,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_95,plain,
( descrp
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ( X1
@ ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[descrp]) ).
thf(c_0_96,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_97,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_98,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_99,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_100,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_101,plain,
( exuI1
<=> ! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[exuI1]) ).
thf(c_0_102,plain,
( exuI3
<=> ! [X1: $i > $o] :
( ? [X2: $i] : ( X1 @ X2 )
=> ( ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exuI3]) ).
thf(c_0_103,plain,
( exuI2
<=> ! [X1: $i > $o] :
( ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) )
=> ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[exuI2]) ).
thf(c_0_104,plain,
( exuE3u
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exuE3u]) ).
thf(c_0_105,plain,
( exu__Cong
<=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
<=> ( exu
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu__Cong]) ).
thf(c_0_106,plain,
( exuEu
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exuEu]) ).
thf(c_0_107,plain,
( descr__Cong
<=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ( ( exu
@ ^ [Z0: $i] : ( X17 @ Z0 ) )
=> ( ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= ( descr
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[descr__Cong]) ).
thf(c_0_108,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X269: $i] :
( ( X6 @ X2 @ X269 )
& ! [X270: $i] :
( ( X6 @ X2 @ X270 )
=> ( X269 = X270 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_93,c_0_94]) ).
thf(c_0_109,plain,
( descrp
= ( ! [X1: $i > $o] :
( ? [X271: $i] :
( ( X1 @ X271 )
& ! [X272: $i] :
( ( X1 @ X272 )
=> ( X271 = X272 ) ) )
=> ( X1
@ ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_95,c_0_94]) ).
thf(c_0_110,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_111,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_112,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_113,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X273: $i] :
( ( X1 @ X273 )
& ! [X274: $i] :
( ( X1 @ X274 )
=> ( X273 = X274 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_96,c_0_94]) ).
thf(c_0_114,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X275: $i] :
( ( X1 @ X275 )
& ! [X276: $i] :
( ( X1 @ X276 )
=> ( X275 = X276 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_97,c_0_94]) ).
thf(c_0_115,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_116,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_98]) ).
thf(c_0_117,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_99,c_0_98]) ).
thf(c_0_118,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_98]) ).
thf(c_0_119,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_120,plain,
( exuE2
= ( ! [X1: $i > $o] :
( ? [X277: $i] :
( ( X1 @ X277 )
& ! [X278: $i] :
( ( X1 @ X278 )
=> ( X277 = X278 ) ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_100,c_0_94]) ).
thf(c_0_121,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_98]) ).
thf(c_0_122,plain,
( emptyE1
<=> ! [X4: $i,X1: $i > $o] :
( ? [X2: $i] :
( ( in @ X2 @ X4 )
& ( X1 @ X2 ) )
=> ( ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= emptyset )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[emptyE1]) ).
thf(c_0_123,plain,
( exuI1
= ( ! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ? [X279: $i] :
( ( X1 @ X279 )
& ! [X280: $i] :
( ( X1 @ X280 )
=> ( X279 = X280 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_101,c_0_94]) ).
thf(c_0_124,plain,
( exuI3
= ( ! [X1: $i > $o] :
( ? [X2: $i] : ( X1 @ X2 )
=> ( ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ? [X281: $i] :
( ( X1 @ X281 )
& ! [X282: $i] :
( ( X1 @ X282 )
=> ( X281 = X282 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_102,c_0_94]) ).
thf(c_0_125,plain,
( exuI2
= ( ! [X1: $i > $o] :
( ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) )
=> ? [X283: $i] :
( ( X1 @ X283 )
& ! [X284: $i] :
( ( X1 @ X284 )
=> ( X283 = X284 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_103,c_0_94]) ).
thf(c_0_126,plain,
( exuE3u
= ( ! [X1: $i > $o] :
( ? [X285: $i] :
( ( X1 @ X285 )
& ! [X286: $i] :
( ( X1 @ X286 )
=> ( X285 = X286 ) ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_104,c_0_94]) ).
thf(c_0_127,plain,
( exu__Cong
= ( ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ? [X287: $i] :
( ( X1 @ X287 )
& ! [X288: $i] :
( ( X1 @ X288 )
=> ( X287 = X288 ) ) )
<=> ? [X289: $i] :
( ( X17 @ X289 )
& ! [X290: $i] :
( ( X17 @ X290 )
=> ( X289 = X290 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_105,c_0_94]) ).
thf(c_0_128,plain,
( exuEu
= ( ! [X1: $i > $o] :
( ? [X291: $i] :
( ( X1 @ X291 )
& ! [X292: $i] :
( ( X1 @ X292 )
=> ( X291 = X292 ) ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_106,c_0_94]) ).
thf(c_0_129,plain,
( descr__Cong
= ( ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ? [X293: $i] :
( ( X1 @ X293 )
& ! [X294: $i] :
( ( X1 @ X294 )
=> ( X293 = X294 ) ) )
=> ( ? [X295: $i] :
( ( X17 @ X295 )
& ! [X296: $i] :
( ( X17 @ X296 )
=> ( X295 = X296 ) ) )
=> ( ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= ( descr
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_107,c_0_94]) ).
thf(c_0_130,plain,
( dsetconstr__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X3: $i] :
( ( in @ X3 @ X5 )
=> ( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) ) ) )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= ( dsetconstr @ X5
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstr__Cong]) ).
thf(c_0_131,plain,
( epred1_0
<=> ! [X326: $i] :
? [X327: $i] :
( ! [X328: $i] :
( ( in @ X328 @ X327 )
=> ! [X329: $i] :
( ( in @ X329 @ X328 )
=> ( in @ X329 @ X326 ) ) )
& ! [X330: $i,X331: $i] :
( ( ( in @ X330 @ X326 )
& ( in @ X331 @ X326 ) )
=> ( ! [X332: $i] :
( ( in @ X332 @ X327 )
=> ( ( in @ X330 @ X332 )
<=> ( in @ X331 @ X332 ) ) )
=> ( X330 = X331 ) ) )
& ! [X333: $i,X334: $i] :
( ( ( in @ X333 @ X327 )
& ( in @ X334 @ X327 ) )
=> ( ! [X335: $i] :
( ( in @ X335 @ X333 )
=> ( in @ X335 @ X334 ) )
| ! [X336: $i] :
( ( in @ X336 @ X334 )
=> ( in @ X336 @ X333 ) ) ) )
& ! [X337: $i] :
( ( ! [X338: $i] :
( ( in @ X338 @ X337 )
=> ( in @ X338 @ X326 ) )
& ? [X339: $i] : ( in @ X339 @ X337 ) )
=> ? [X340: $i,X341: $i] :
( ( in @ X340 @ X327 )
& ( in @ X341 @ X337 )
& ~ ? [X342: $i] :
( ( in @ X342 @ X340 )
& ( in @ X342 @ X337 ) )
& ! [X343: $i] :
( ( in @ X343 @ X327 )
=> ( ! [X344: $i] :
( ( in @ X344 @ X343 )
=> ( in @ X344 @ X340 ) )
| ( in @ X341 @ X343 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_132,negated_conjecture,
~ ( ! [X297: $i,X298: $i] :
( ! [X299: $i] :
( ( in @ X299 @ X297 )
<=> ( in @ X299 @ X298 ) )
=> ( X297 = X298 ) )
=> ( ! [X300: $i] :
~ ( in @ X300 @ emptyset )
=> ( ! [X301: $i,X302: $i,X303: $i] :
( ( in @ X303 @ ( setadjoin @ X301 @ X302 ) )
<=> ( ( X303 = X301 )
| ( in @ X303 @ X302 ) ) )
=> ( ! [X304: $i,X305: $i] :
( ( in @ X305 @ ( powerset @ X304 ) )
<=> ! [X306: $i] :
( ( in @ X306 @ X305 )
=> ( in @ X306 @ X304 ) ) )
=> ( ! [X307: $i,X308: $i] :
( ( in @ X308 @ ( setunion @ X307 ) )
<=> ? [X309: $i] :
( ( in @ X308 @ X309 )
& ( in @ X309 @ X307 ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [X310: $i] :
( ( in @ X310 @ omega )
=> ( in @ ( setadjoin @ X310 @ X310 ) @ omega ) )
=> ( ! [X311: $i] :
( ( ( in @ emptyset @ X311 )
& ! [X312: $i] :
( ( ( in @ X312 @ omega )
& ( in @ X312 @ X311 ) )
=> ( in @ ( setadjoin @ X312 @ X312 ) @ X311 ) ) )
=> ! [X313: $i] :
( ( in @ X313 @ omega )
=> ( in @ X313 @ X311 ) ) )
=> ( ! [X314: $i > $i > $o,X315: $i] :
( ! [X316: $i] :
( ( in @ X316 @ X315 )
=> ? [X317: $i] :
( ( X314 @ X316 @ X317 )
& ! [X318: $i] :
( ( X314 @ X316 @ X318 )
=> ( X317 = X318 ) ) ) )
=> ? [X319: $i] :
! [X320: $i] :
( ( in @ X320 @ X319 )
<=> ? [X321: $i] :
( ( in @ X321 @ X315 )
& ( X314 @ X321 @ X320 ) ) ) )
=> ( ! [X322: $i] :
( ? [X323: $i] : ( in @ X323 @ X322 )
=> ? [X324: $i] :
( ( in @ X324 @ X322 )
& ~ ? [X325: $i] :
( ( in @ X325 @ X324 )
& ( in @ X325 @ X322 ) ) ) )
=> ( epred1_0
=> ( ! [X345: $i > $o] :
( ? [X346: $i] :
( ( X345 @ X346 )
& ! [X347: $i] :
( ( X345 @ X347 )
=> ( X346 = X347 ) ) )
=> ( X345
@ ( descr
@ ^ [Z0: $i] : ( X345 @ Z0 ) ) ) )
=> ( ! [X348: $i,X349: $i > $o,X350: $i] :
( ( in @ X350 @ X348 )
=> ( ( X349 @ X350 )
=> ( in @ X350 @ ( dsetconstr @ X348 @ X349 ) ) ) )
=> ( ! [X351: $i,X352: $i > $o,X353: $i] :
( ( in @ X353 @ ( dsetconstr @ X351 @ X352 ) )
=> ( in @ X353 @ X351 ) )
=> ( ! [X354: $i,X355: $i > $o,X356: $i] :
( ( in @ X356 @ ( dsetconstr @ X354 @ X355 ) )
=> ( X355 @ X356 ) )
=> ( ! [X357: $i > $o] :
( ? [X358: $i] :
( ( X357 @ X358 )
& ! [X359: $i] :
( ( X357 @ X359 )
=> ( X358 = X359 ) ) )
=> ? [X360: $i] :
( ( X357 @ X360 )
& ! [X361: $i] :
( ( X357 @ X361 )
=> ( X360 = X361 ) ) ) )
=> ( ! [X362: $o,X363: $i] :
( ( in @ X363 @ ( prop2set @ X362 ) )
=> X362 )
=> ( ! [X364: $i] :
( ( in @ X364 @ emptyset )
=> ! [X365: $o] : X365 )
=> ( ! [X366: $i] :
( ( in @ X366 @ emptyset )
=> ~ $true )
=> ( ! [X367: $i] :
~ ( in @ X367 @ emptyset )
=> ( ! [X368: $i > $o] :
( ? [X369: $i] :
( ( X368 @ X369 )
& ! [X370: $i] :
( ( X368 @ X370 )
=> ( X369 = X370 ) ) )
=> ? [X371: $i] : ( X368 @ X371 ) )
=> ( ! [X372: $i,X373: $i] :
( ! [X374: $i] :
( ( in @ X374 @ X372 )
=> ( in @ X374 @ X373 ) )
=> ( ! [X375: $i] :
( ( in @ X375 @ X373 )
=> ( in @ X375 @ X372 ) )
=> ( X372 = X373 ) ) )
=> ( ! [X376: $i] :
( ! [X377: $i] :
~ ( in @ X377 @ X376 )
=> ( X376 = emptyset ) )
=> ( ! [X378: $i] :
( ! [X379: $i] :
~ ( in @ X379 @ X378 )
=> ( X378 = emptyset ) )
=> ( ! [X380: $i,X381: $i > $o,X382: $i] :
( ( in @ X382 @ X380 )
=> ( ( in @ X382 @ ( dsetconstr @ X380 @ X381 ) )
<=> ( X381 @ X382 ) ) )
=> ( ! [X383: $i] :
( ( X383 != emptyset )
=> ? [X384: $i] : ( in @ X384 @ X383 ) )
=> ( ! [X385: $i,X386: $i > $o,X387: $i] :
( ( in @ X387 @ X385 )
=> ( ( X386 @ X387 )
=> ( ( dsetconstr @ X385 @ X386 )
!= emptyset ) ) )
=> ( ! [X388: $i] :
( ? [X389: $i] : ( in @ X389 @ X388 )
=> ( X388 != emptyset ) )
=> ( ! [X390: $i,X391: $i] : ( in @ X390 @ ( setadjoin @ X390 @ X391 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [X392: $i,X393: $i,X394: $i] :
( ( in @ X394 @ X393 )
=> ( in @ X394 @ ( setadjoin @ X392 @ X393 ) ) )
=> ( ! [X395: $i,X396: $i,X397: $i] :
( ( in @ X397 @ ( setadjoin @ X395 @ X396 ) )
=> ! [X398: $o] :
( ( ( X397 = X395 )
=> X398 )
=> ( ( ( in @ X397 @ X396 )
=> X398 )
=> X398 ) ) )
=> ( ! [X399: $i,X400: $i,X401: $i] :
( ( in @ X401 @ ( setadjoin @ X399 @ X400 ) )
=> ( ( X401 = X399 )
| ( in @ X401 @ X400 ) ) )
=> ( ! [X402: $i] :
( ( dsetconstr @ X402
@ ^ [Z0: $i] : $true )
= X402 )
=> ( ! [X403: $i,X404: $i] :
( ! [X405: $i] :
( ( in @ X405 @ X404 )
=> ( in @ X405 @ X403 ) )
=> ( in @ X404 @ ( powerset @ X403 ) ) )
=> ( ! [X406: $i] : ( in @ emptyset @ ( powerset @ X406 ) )
=> ( ! [X407: $i] : ( in @ emptyset @ ( powerset @ X407 ) )
=> ( ! [X408: $i,X409: $i,X410: $i] :
( ( in @ X409 @ ( powerset @ X408 ) )
=> ( ( in @ X410 @ X409 )
=> ( in @ X410 @ X408 ) ) )
=> ( ! [X411: $i,X412: $i,X413: $i] :
( ( in @ X412 @ X413 )
=> ( ( in @ X413 @ X411 )
=> ( in @ X412 @ ( setunion @ X411 ) ) ) )
=> ( ! [X414: $i,X415: $i] :
( ( in @ X415 @ ( setunion @ X414 ) )
=> ! [X416: $o] :
( ! [X417: $i] :
( ( in @ X415 @ X417 )
=> ( ( in @ X417 @ X414 )
=> X416 ) )
=> X416 ) )
=> ( ! [X418: $i,X419: $i] :
( ( in @ X419 @ X418 )
=> ( in @ X419 @ ( powerset @ ( setunion @ X418 ) ) ) )
=> ( ! [X420: $i > $o] :
( ? [X421: $i] :
( ( X420 @ X421 )
& ! [X422: $i] :
( ( X420 @ X422 )
=> ( X421 = X422 ) ) )
=> ? [X423: $i] :
! [X424: $i] :
( ( X420 @ X424 )
<=> ( X424 = X423 ) ) )
=> ( ! [X425: $i] :
( ( X425 != emptyset )
=> ? [X426: $i] :
( ( in @ X426 @ X425 )
& $true ) )
=> ( ! [X427: $i,X428: $i] :
( ( in @ X427 @ ( setadjoin @ X428 @ emptyset ) )
=> ( X427 = X428 ) )
=> ( ! [X429: $i,X430: $i] :
( ( X429 != X430 )
=> ~ ( in @ X430 @ ( setadjoin @ X429 @ emptyset ) ) )
=> ( ! [X431: $i,X432: $i] :
( ( X431 = X432 )
=> ( in @ X431 @ ( setadjoin @ X432 @ emptyset ) ) )
=> ( ! [X433: $i,X434: $i] :
( ( in @ X433 @ ( setadjoin @ X434 @ emptyset ) )
=> ( in @ X434 @ ( setadjoin @ X433 @ emptyset ) ) )
=> ( ! [X435: $i,X436: $i,X437: $i] :
( ( in @ X437 @ ( setadjoin @ X435 @ ( setadjoin @ X436 @ emptyset ) ) )
=> ( ( X437 = X435 )
| ( X437 = X436 ) ) )
=> ( ! [X438: $i,X439: $i] : ( in @ X438 @ ( setadjoin @ X438 @ ( setadjoin @ X439 @ emptyset ) ) )
=> ( ! [X440: $i,X441: $i] : ( in @ X441 @ ( setadjoin @ X440 @ ( setadjoin @ X441 @ emptyset ) ) )
=> ( ! [X442: $i,X443: $i > $o] :
( ? [X444: $i] :
( ( in @ X444 @ X442 )
& ( X443 @ X444 ) )
=> ( ( ( dsetconstr @ X442 @ X443 )
= emptyset )
=> ~ $true ) )
=> ( ! [X445: $i > $o,X446: $i] :
( ( in @ X446 @ emptyset )
=> ( X445 @ X446 ) )
=> ( ! [X447: $i,X448: $i > $o] :
( ~ ! [X449: $i] :
( ( in @ X449 @ X447 )
=> ( X448 @ X449 ) )
=> ? [X450: $i] :
( ( in @ X450 @ X447 )
& ~ ( X448 @ X450 ) ) )
=> ( ! [X451: $i,X452: $i > $o] :
( ! [X453: $i] :
( ( in @ X453 @ X451 )
=> ~ ( X452 @ X453 ) )
=> ~ ? [X454: $i] :
( ( in @ X454 @ X451 )
& ( X452 @ X454 ) ) )
=> ( ! [X455: $i,X456: $i > $o] :
( ~ ? [X457: $i] :
( ( in @ X457 @ X455 )
& ( X456 @ X457 ) )
=> ! [X458: $i] :
( ( in @ X458 @ X455 )
=> ~ ( X456 @ X458 ) ) )
=> ( ! [X459: $i,X460: $i > $o] :
( ? [X461: $i] :
( ( in @ X461 @ X459 )
& ~ ( X460 @ X461 ) )
=> ~ ! [X462: $i] :
( ( in @ X462 @ X459 )
=> ( X460 @ X462 ) ) )
=> ( ! [X463: $o] :
( X463
=> ( in @ emptyset @ ( prop2set @ X463 ) ) )
=> ( ! [X464: $o] :
( X464
=> ( set2prop @ ( prop2set @ X464 ) ) )
=> ( ! [X465: $i,X466: $i > $o] :
( ~ ? [X467: $i] :
( ( in @ X467 @ X465 )
& ( X466 @ X467 ) )
=> ! [X468: $i] :
( ( in @ X468 @ X465 )
=> ~ ( X466 @ X468 ) ) )
=> ( ! [X469: $i,X470: $i > $o] :
( ~ ! [X471: $i] :
( ( in @ X471 @ X469 )
=> ( X470 @ X471 ) )
=> ? [X472: $i] :
( ( in @ X472 @ X469 )
& ~ ( X470 @ X472 ) ) )
=> ( ! [X473: $i > $o] :
( ? [X474: $i] :
( ( X473 @ X474 )
& ! [X475: $i] :
( ( X473 @ X475 )
=> ( X474 = X475 ) ) )
=> ? [X476: $i] :
( ( X473 @ X476 )
& ! [X477: $i] :
( ( X473 @ X477 )
=> ( X476 = X477 ) ) ) )
=> ( ! [X478: $i > $o] :
( ? [X479: $i] : ( X478 @ X479 )
=> ( ! [X480: $i,X481: $i] :
( ( X478 @ X480 )
=> ( ( X478 @ X481 )
=> ( X480 = X481 ) ) )
=> ? [X482: $i] :
( ( X478 @ X482 )
& ! [X483: $i] :
( ( X478 @ X483 )
=> ( X482 = X483 ) ) ) ) )
=> ( ! [X484: $i > $o] :
( ? [X485: $i] :
! [X486: $i] :
( ( X484 @ X486 )
<=> ( X486 = X485 ) )
=> ? [X487: $i] :
( ( X484 @ X487 )
& ! [X488: $i] :
( ( X484 @ X488 )
=> ( X487 = X488 ) ) ) )
=> ( ! [X489: $i,X490: $i] :
( ( X489 = X490 )
=> ! [X491: $i,X492: $i] :
( ( X491 = X492 )
=> ( ( in @ X491 @ X489 )
=> ( in @ X492 @ X490 ) ) ) )
=> ( ! [X493: $i,X494: $i] :
( ( X493 = X494 )
=> ! [X495: $i,X496: $i] :
( ( X495 = X496 )
=> ( ( in @ X495 @ X493 )
<=> ( in @ X496 @ X494 ) ) ) )
=> ( ! [X497: $i > $o] :
( ? [X498: $i] :
( ( X497 @ X498 )
& ! [X499: $i] :
( ( X497 @ X499 )
=> ( X498 = X499 ) ) )
=> ! [X500: $i,X501: $i] :
( ( X497 @ X500 )
=> ( ( X497 @ X501 )
=> ( X500 = X501 ) ) ) )
=> ( ! [X502: $i > $o,X503: $i > $o] :
( ! [X504: $i,X505: $i] :
( ( X504 = X505 )
=> ( ( X502 @ X504 )
<=> ( X503 @ X505 ) ) )
=> ( ? [X506: $i] :
( ( X502 @ X506 )
& ! [X507: $i] :
( ( X502 @ X507 )
=> ( X506 = X507 ) ) )
<=> ? [X508: $i] :
( ( X503 @ X508 )
& ! [X509: $i] :
( ( X503 @ X509 )
=> ( X508 = X509 ) ) ) ) )
=> ( ( emptyset = emptyset )
=> ( ! [X510: $i,X511: $i] :
( ( X510 = X511 )
=> ! [X512: $i,X513: $i] :
( ( X512 = X513 )
=> ( ( setadjoin @ X510 @ X512 )
= ( setadjoin @ X511 @ X513 ) ) ) )
=> ( ! [X514: $i,X515: $i] :
( ( X514 = X515 )
=> ( ( powerset @ X514 )
= ( powerset @ X515 ) ) )
=> ( ! [X516: $i,X517: $i] :
( ( X516 = X517 )
=> ( ( setunion @ X516 )
= ( setunion @ X517 ) ) )
=> ( ( omega = omega )
=> ( ! [X518: $i > $o] :
( ? [X519: $i] :
( ( X518 @ X519 )
& ! [X520: $i] :
( ( X518 @ X520 )
=> ( X519 = X520 ) ) )
=> ! [X521: $i,X522: $i] :
( ( X518 @ X521 )
=> ( ( X518 @ X522 )
=> ( X521 = X522 ) ) ) )
=> ( ! [X523: $i > $o,X524: $i > $o] :
( ! [X525: $i,X526: $i] :
( ( X525 = X526 )
=> ( ( X523 @ X525 )
<=> ( X524 @ X526 ) ) )
=> ( ? [X527: $i] :
( ( X523 @ X527 )
& ! [X528: $i] :
( ( X523 @ X528 )
=> ( X527 = X528 ) ) )
=> ( ? [X529: $i] :
( ( X524 @ X529 )
& ! [X530: $i] :
( ( X524 @ X530 )
=> ( X529 = X530 ) ) )
=> ( ( descr @ X523 )
= ( descr @ X524 ) ) ) ) )
=> ( ! [X531: $i,X532: $i] :
( ( X531 = X532 )
=> ! [X533: $i > $o,X534: $i > $o] :
( ! [X535: $i] :
( ( in @ X535 @ X531 )
=> ! [X536: $i] :
( ( in @ X536 @ X532 )
=> ( ( X535 = X536 )
=> ( ( X533 @ X535 )
<=> ( X534 @ X536 ) ) ) ) )
=> ( ( dsetconstr @ X531 @ X533 )
= ( dsetconstr @ X532 @ X534 ) ) ) )
=> ( ! [X537: $i,X538: $i] :
( ! [X539: $i] :
( ( in @ X539 @ X537 )
=> ( in @ X539 @ X538 ) )
=> ( subset @ X537 @ X538 ) )
=> ( ! [X540: $i,X541: $i] :
( ( X540 = X541 )
=> ( subset @ X541 @ X540 ) )
=> ( ! [X542: $i,X543: $i] :
( ( X542 = X543 )
=> ( subset @ X542 @ X543 ) )
=> ( ! [X544: $i,X545: $i] :
( ! [X546: $i] :
( ( in @ X546 @ X544 )
=> ( in @ X546 @ X545 ) )
=> ( subset @ X544 @ X545 ) )
=> ( ! [X547: $i] : ( subset @ emptyset @ X547 )
=> ( ! [X548: $i,X549: $i,X550: $i] :
( ( subset @ X548 @ X549 )
=> ( ( in @ X550 @ X548 )
=> ( in @ X550 @ X549 ) ) )
=> ( ! [X551: $i,X552: $i,X553: $i] :
( ( subset @ X551 @ X552 )
=> ( ~ ( in @ X553 @ X552 )
=> ~ ( in @ X553 @ X551 ) ) )
=> ( ! [X554: $i,X555: $i,X556: $i] :
( ( in @ X556 @ X554 )
=> ( ~ ( in @ X556 @ X555 )
=> ~ ( subset @ X554 @ X555 ) ) )
=> ( ! [X557: $i,X558: $i] :
( ~ ( subset @ X557 @ X558 )
=> ( X557 != X558 ) )
=> ( ! [X559: $i,X560: $i,X561: $i] :
( ( in @ X561 @ X559 )
=> ( ~ ( in @ X561 @ X560 )
=> ( X559 != X560 ) ) )
=> ( ! [X562: $i] : ( subset @ X562 @ X562 )
=> ( ! [X563: $i,X564: $i,X565: $i] :
( ( subset @ X563 @ X564 )
=> ( ( subset @ X564 @ X565 )
=> ( subset @ X563 @ X565 ) ) )
=> ( ! [X566: $i,X567: $i] : ( subset @ X567 @ ( setadjoin @ X566 @ X567 ) )
=> ( ! [X568: $i,X569: $i,X570: $i] :
( ( subset @ X568 @ X570 )
=> ( subset @ X568 @ ( setadjoin @ X569 @ X570 ) ) )
=> ( ! [X571: $i,X572: $i] :
( ( subset @ X571 @ X572 )
=> ( in @ X571 @ ( powerset @ X572 ) ) )
=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( ( subset @ X5 @ X4 )
=> ( X4 = X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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)],[setextsub]),setextAx]),emptysetAx]),setadjoinAx]),powersetAx]),setunionAx]),omega0Ax]),omegaSAx]),omegaIndAx]),c_0_108]),foundationAx]),wellorderingAx]),c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),prop2setE]),emptysetE]),emptysetimpfalse]),notinemptyset]),c_0_114]),setext]),emptyI]),noeltsimpempty]),c_0_115]),c_0_116]),c_0_117]),c_0_118]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_119]),powersetI]),emptyinPowerset]),emptyInPowerset]),powersetE]),setunionI]),setunionE]),subPowSU]),c_0_120]),c_0_121]),uniqinunit]),notinsingleton]),eqinunit]),singletonsswitch]),upairsetE]),upairsetIL]),upairsetIR]),c_0_122]),vacuousDall]),quantDeMorgan1]),quantDeMorgan2]),quantDeMorgan3]),quantDeMorgan4]),prop2setI]),prop2set2propI]),notdexE]),notdallE]),c_0_123]),c_0_124]),c_0_125]),inCongP]),in__Cong]),c_0_126]),c_0_127]),emptyset__Cong]),setadjoin__Cong]),powerset__Cong]),setunion__Cong]),omega__Cong]),c_0_128]),c_0_129]),c_0_130]),subsetI1]),eqimpsubset2]),eqimpsubset1]),subsetI2]),emptysetsubset]),subsetE]),subsetE2]),notsubsetI]),notequalI1]),notequalI2]),subsetRefl]),subsetTrans]),setadjoinSub]),setadjoinSub2]),subset2powerset])])]),c_0_131]) ).
thf(c_0_133,negated_conjecture,
! [X573: $i,X574: $i,X576: $i,X577: $i,X578: $i,X579: $i,X580: $i,X581: $i,X582: $i,X583: $i,X584: $i,X586: $i,X587: $i,X589: $i,X590: $i,X591: $i,X592: $i,X593: $i,X595: $i,X596: $i > $i > $o,X597: $i,X599: $i,X602: $i,X604: $i,X605: $i,X606: $i,X607: $i,X609: $i,X610: $i > $o,X611: $i,X613: $i,X614: $i > $o,X615: $i,X616: $i,X617: $i > $o,X618: $i,X619: $i,X620: $i > $o,X621: $i,X622: $i > $o,X623: $i,X626: $i,X627: $o,X628: $i,X629: $i,X630: $o,X631: $i,X632: $i,X633: $i > $o,X634: $i,X637: $i,X638: $i,X641: $i,X643: $i,X645: $i,X646: $i > $o,X647: $i,X648: $i,X650: $i,X651: $i > $o,X652: $i,X653: $i,X654: $i,X655: $i,X656: $i,X657: $i,X658: $i,X659: $i,X660: $i,X661: $i,X662: $i,X663: $o,X664: $i,X665: $i,X666: $i,X667: $i,X668: $i,X669: $i,X671: $i,X672: $i,X673: $i,X674: $i,X675: $i,X676: $i,X677: $i,X678: $i,X679: $i,X680: $i,X681: $o,X683: $i,X684: $i,X685: $i > $o,X686: $i,X689: $i,X690: $i,X691: $i,X693: $i,X694: $i,X695: $i,X696: $i,X697: $i,X698: $i,X699: $i,X700: $i,X701: $i,X702: $i,X703: $i,X704: $i,X705: $i,X706: $i,X707: $i,X708: $i,X709: $i > $o,X710: $i,X711: $i > $o,X712: $i,X713: $i,X714: $i > $o,X715: $i,X717: $i,X718: $i > $o,X720: $i,X721: $i,X722: $i > $o,X724: $i,X725: $i,X726: $i > $o,X727: $i,X729: $o,X730: $o,X731: $i,X732: $i > $o,X734: $i,X735: $i,X736: $i > $o,X737: $i,X739: $i > $o,X740: $i,X743: $i,X744: $i > $o,X745: $i,X749: $i,X750: $i > $o,X751: $i,X754: $i,X755: $i,X756: $i,X757: $i,X758: $i,X759: $i,X760: $i,X761: $i,X762: $i,X763: $i > $o,X764: $i,X766: $i,X767: $i,X768: $i > $o,X769: $i > $o,X772: $i,X775: $i,X776: $i,X779: $i,X780: $i,X781: $i,X782: $i,X783: $i,X784: $i,X785: $i,X786: $i,X787: $i,X788: $i > $o,X789: $i,X791: $i,X792: $i,X793: $i > $o,X794: $i > $o,X797: $i,X799: $i,X801: $i,X802: $i,X803: $i > $o,X804: $i > $o,X807: $i,X808: $i,X810: $i,X811: $i,X812: $i,X813: $i,X814: $i,X815: $i,X817: $i,X818: $i,X819: $i,X820: $i,X821: $i,X822: $i,X823: $i,X824: $i,X825: $i,X826: $i,X827: $i,X828: $i,X829: $i,X830: $i,X831: $i,X832: $i,X833: $i,X834: $i,X835: $i,X836: $i,X837: $i,X838: $i,X839: $i,X840: $i,X841: $i,X842: $i] :
( ( ~ ( in @ ( esk1_2 @ X573 @ X574 ) @ X573 )
| ~ ( in @ ( esk1_2 @ X573 @ X574 ) @ X574 )
| ( X573 = X574 ) )
& ( ( in @ ( esk1_2 @ X573 @ X574 ) @ X573 )
| ( in @ ( esk1_2 @ X573 @ X574 ) @ X574 )
| ( X573 = X574 ) )
& ~ ( in @ X576 @ emptyset )
& ( ~ ( in @ X579 @ ( setadjoin @ X577 @ X578 ) )
| ( X579 = X577 )
| ( in @ X579 @ X578 ) )
& ( ( X579 != X577 )
| ( in @ X579 @ ( setadjoin @ X577 @ X578 ) ) )
& ( ~ ( in @ X579 @ X578 )
| ( in @ X579 @ ( setadjoin @ X577 @ X578 ) ) )
& ( ~ ( in @ X581 @ ( powerset @ X580 ) )
| ~ ( in @ X582 @ X581 )
| ( in @ X582 @ X580 ) )
& ( ( in @ ( esk2_2 @ X583 @ X584 ) @ X584 )
| ( in @ X584 @ ( powerset @ X583 ) ) )
& ( ~ ( in @ ( esk2_2 @ X583 @ X584 ) @ X583 )
| ( in @ X584 @ ( powerset @ X583 ) ) )
& ( ( in @ X587 @ ( esk3_2 @ X586 @ X587 ) )
| ~ ( in @ X587 @ ( setunion @ X586 ) ) )
& ( ( in @ ( esk3_2 @ X586 @ X587 ) @ X586 )
| ~ ( in @ X587 @ ( setunion @ X586 ) ) )
& ( ~ ( in @ X590 @ X591 )
| ~ ( in @ X591 @ X589 )
| ( in @ X590 @ ( setunion @ X589 ) ) )
& ( in @ emptyset @ omega )
& ( ~ ( in @ X592 @ omega )
| ( in @ ( setadjoin @ X592 @ X592 ) @ omega ) )
& ( ( in @ ( esk4_1 @ X593 ) @ omega )
| ~ ( in @ emptyset @ X593 )
| ~ ( in @ X595 @ omega )
| ( in @ X595 @ X593 ) )
& ( ( in @ ( esk4_1 @ X593 ) @ X593 )
| ~ ( in @ emptyset @ X593 )
| ~ ( in @ X595 @ omega )
| ( in @ X595 @ X593 ) )
& ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X593 ) @ ( esk4_1 @ X593 ) ) @ X593 )
| ~ ( in @ emptyset @ X593 )
| ~ ( in @ X595 @ omega )
| ( in @ X595 @ X593 ) )
& ( ( in @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X597 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( in @ ( esk5_2 @ X596 @ X597 ) @ X597 ) )
& ( ( X596 @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X602 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( in @ ( esk5_2 @ X596 @ X597 ) @ X597 ) )
& ( ~ ( in @ X605 @ X597 )
| ~ ( X596 @ X605 @ X604 )
| ( in @ X604 @ ( esk7_2 @ X596 @ X597 ) )
| ( in @ ( esk5_2 @ X596 @ X597 ) @ X597 ) )
& ( ( in @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X597 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( X596 @ ( esk5_2 @ X596 @ X597 ) @ ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ( X596 @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X602 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( X596 @ ( esk5_2 @ X596 @ X597 ) @ ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ~ ( in @ X605 @ X597 )
| ~ ( X596 @ X605 @ X604 )
| ( in @ X604 @ ( esk7_2 @ X596 @ X597 ) )
| ( X596 @ ( esk5_2 @ X596 @ X597 ) @ ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ( in @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X597 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( X599
!= ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ( X596 @ ( esk8_3 @ X596 @ X597 @ X602 ) @ X602 )
| ~ ( in @ X602 @ ( esk7_2 @ X596 @ X597 ) )
| ( X599
!= ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ~ ( in @ X605 @ X597 )
| ~ ( X596 @ X605 @ X604 )
| ( in @ X604 @ ( esk7_2 @ X596 @ X597 ) )
| ( X599
!= ( esk6_3 @ X596 @ X597 @ X599 ) )
| ~ ( X596 @ ( esk5_2 @ X596 @ X597 ) @ X599 ) )
& ( ( in @ ( esk9_1 @ X606 ) @ X606 )
| ~ ( in @ X607 @ X606 ) )
& ( ~ ( in @ X609 @ ( esk9_1 @ X606 ) )
| ~ ( in @ X609 @ X606 )
| ~ ( in @ X607 @ X606 ) )
& epred1_0
& ( ( X610 @ ( esk10_2 @ X610 @ X611 ) )
| ~ ( X610 @ X611 )
| ( X610 @ ( descr @ X610 ) ) )
& ( ( X611
!= ( esk10_2 @ X610 @ X611 ) )
| ~ ( X610 @ X611 )
| ( X610 @ ( descr @ X610 ) ) )
& ( ~ ( in @ X615 @ X613 )
| ~ ( X614 @ X615 )
| ( in @ X615 @ ( dsetconstr @ X613 @ X614 ) ) )
& ( ~ ( in @ X618 @ ( dsetconstr @ X616 @ X617 ) )
| ( in @ X618 @ X616 ) )
& ( ~ ( in @ X621 @ ( dsetconstr @ X619 @ X620 ) )
| ( X620 @ X621 ) )
& ( ( X622 @ ( esk12_1 @ X622 ) )
| ( X622 @ ( esk11_2 @ X622 @ X623 ) )
| ~ ( X622 @ X623 ) )
& ( ~ ( X622 @ X626 )
| ( ( esk12_1 @ X622 )
= X626 )
| ( X622 @ ( esk11_2 @ X622 @ X623 ) )
| ~ ( X622 @ X623 ) )
& ( ( X622 @ ( esk12_1 @ X622 ) )
| ( X623
!= ( esk11_2 @ X622 @ X623 ) )
| ~ ( X622 @ X623 ) )
& ( ~ ( X622 @ X626 )
| ( ( esk12_1 @ X622 )
= X626 )
| ( X623
!= ( esk11_2 @ X622 @ X623 ) )
| ~ ( X622 @ X623 ) )
& ( ~ ( in @ X628 @ ( prop2set @ X627 ) )
| X627 )
& ( ~ ( in @ X629 @ emptyset )
| X630 )
& ( ~ ( in @ X631 @ emptyset )
| ~ $true )
& ~ ( in @ X632 @ emptyset )
& ( ( X633 @ ( esk13_2 @ X633 @ X634 ) )
| ~ ( X633 @ X634 )
| ( X633 @ ( esk14_1 @ X633 ) ) )
& ( ( X634
!= ( esk13_2 @ X633 @ X634 ) )
| ~ ( X633 @ X634 )
| ( X633 @ ( esk14_1 @ X633 ) ) )
& ( ( in @ ( esk16_2 @ X637 @ X638 ) @ X638 )
| ( X637 = X638 )
| ( in @ ( esk15_2 @ X637 @ X638 ) @ X637 ) )
& ( ~ ( in @ ( esk16_2 @ X637 @ X638 ) @ X637 )
| ( X637 = X638 )
| ( in @ ( esk15_2 @ X637 @ X638 ) @ X637 ) )
& ( ( in @ ( esk16_2 @ X637 @ X638 ) @ X638 )
| ( X637 = X638 )
| ~ ( in @ ( esk15_2 @ X637 @ X638 ) @ X638 ) )
& ( ~ ( in @ ( esk16_2 @ X637 @ X638 ) @ X637 )
| ( X637 = X638 )
| ~ ( in @ ( esk15_2 @ X637 @ X638 ) @ X638 ) )
& ( ( in @ ( esk17_1 @ X641 ) @ X641 )
| ( X641 = emptyset ) )
& ( ( in @ ( esk18_1 @ X643 ) @ X643 )
| ( X643 = emptyset ) )
& ( ~ ( in @ X647 @ ( dsetconstr @ X645 @ X646 ) )
| ( X646 @ X647 )
| ~ ( in @ X647 @ X645 ) )
& ( ~ ( X646 @ X647 )
| ( in @ X647 @ ( dsetconstr @ X645 @ X646 ) )
| ~ ( in @ X647 @ X645 ) )
& ( ( X648 = emptyset )
| ( in @ ( esk19_1 @ X648 ) @ X648 ) )
& ( ~ ( in @ X652 @ X650 )
| ~ ( X651 @ X652 )
| ( ( dsetconstr @ X650 @ X651 )
!= emptyset ) )
& ( ~ ( in @ X654 @ X653 )
| ( X653 != emptyset ) )
& ( in @ X655 @ ( setadjoin @ X655 @ X656 ) )
& ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
& ( ~ ( in @ X659 @ X658 )
| ( in @ X659 @ ( setadjoin @ X657 @ X658 ) ) )
& ( ( in @ X662 @ X661 )
| X663
| ( X662 = X660 )
| ~ ( in @ X662 @ ( setadjoin @ X660 @ X661 ) ) )
& ( ~ X663
| X663
| ( X662 = X660 )
| ~ ( in @ X662 @ ( setadjoin @ X660 @ X661 ) ) )
& ( ( in @ X662 @ X661 )
| X663
| ~ X663
| ~ ( in @ X662 @ ( setadjoin @ X660 @ X661 ) ) )
& ( ~ X663
| X663
| ~ X663
| ~ ( in @ X662 @ ( setadjoin @ X660 @ X661 ) ) )
& ( ~ ( in @ X666 @ ( setadjoin @ X664 @ X665 ) )
| ( X666 = X664 )
| ( in @ X666 @ X665 ) )
& ( ( dsetconstr @ X667
@ ^ [Z0: $i] : $true )
= X667 )
& ( ( in @ ( esk20_2 @ X668 @ X669 ) @ X669 )
| ( in @ X669 @ ( powerset @ X668 ) ) )
& ( ~ ( in @ ( esk20_2 @ X668 @ X669 ) @ X668 )
| ( in @ X669 @ ( powerset @ X668 ) ) )
& ( in @ emptyset @ ( powerset @ X671 ) )
& ( in @ emptyset @ ( powerset @ X672 ) )
& ( ~ ( in @ X674 @ ( powerset @ X673 ) )
| ~ ( in @ X675 @ X674 )
| ( in @ X675 @ X673 ) )
& ( ~ ( in @ X677 @ X678 )
| ~ ( in @ X678 @ X676 )
| ( in @ X677 @ ( setunion @ X676 ) ) )
& ( ( in @ X680 @ ( esk21_3 @ X679 @ X680 @ X681 ) )
| X681
| ~ ( in @ X680 @ ( setunion @ X679 ) ) )
& ( ( in @ ( esk21_3 @ X679 @ X680 @ X681 ) @ X679 )
| X681
| ~ ( in @ X680 @ ( setunion @ X679 ) ) )
& ( ~ X681
| X681
| ~ ( in @ X680 @ ( setunion @ X679 ) ) )
& ( ~ ( in @ X684 @ X683 )
| ( in @ X684 @ ( powerset @ ( setunion @ X683 ) ) ) )
& ( ~ ( X685 @ X689 )
| ( X689
= ( esk23_1 @ X685 ) )
| ( X685 @ ( esk22_2 @ X685 @ X686 ) )
| ~ ( X685 @ X686 ) )
& ( ( X690
!= ( esk23_1 @ X685 ) )
| ( X685 @ X690 )
| ( X685 @ ( esk22_2 @ X685 @ X686 ) )
| ~ ( X685 @ X686 ) )
& ( ~ ( X685 @ X689 )
| ( X689
= ( esk23_1 @ X685 ) )
| ( X686
!= ( esk22_2 @ X685 @ X686 ) )
| ~ ( X685 @ X686 ) )
& ( ( X690
!= ( esk23_1 @ X685 ) )
| ( X685 @ X690 )
| ( X686
!= ( esk22_2 @ X685 @ X686 ) )
| ~ ( X685 @ X686 ) )
& ( ( in @ ( esk24_1 @ X691 ) @ X691 )
| ( X691 = emptyset ) )
& ( $true
| ( X691 = emptyset ) )
& ( ~ ( in @ X693 @ ( setadjoin @ X694 @ emptyset ) )
| ( X693 = X694 ) )
& ( ( X695 = X696 )
| ~ ( in @ X696 @ ( setadjoin @ X695 @ emptyset ) ) )
& ( ( X697 != X698 )
| ( in @ X697 @ ( setadjoin @ X698 @ emptyset ) ) )
& ( ~ ( in @ X699 @ ( setadjoin @ X700 @ emptyset ) )
| ( in @ X700 @ ( setadjoin @ X699 @ emptyset ) ) )
& ( ~ ( in @ X703 @ ( setadjoin @ X701 @ ( setadjoin @ X702 @ emptyset ) ) )
| ( X703 = X701 )
| ( X703 = X702 ) )
& ( in @ X704 @ ( setadjoin @ X704 @ ( setadjoin @ X705 @ emptyset ) ) )
& ( in @ X707 @ ( setadjoin @ X706 @ ( setadjoin @ X707 @ emptyset ) ) )
& ( ~ ( in @ X710 @ X708 )
| ~ ( X709 @ X710 )
| ( ( dsetconstr @ X708 @ X709 )
!= emptyset )
| ~ $true )
& ( ~ ( in @ X712 @ emptyset )
| ( X711 @ X712 ) )
& ( ( in @ ( esk25_2 @ X713 @ X714 ) @ X713 )
| ~ ( in @ X715 @ X713 )
| ( X714 @ X715 ) )
& ( ~ ( X714 @ ( esk25_2 @ X713 @ X714 ) )
| ~ ( in @ X715 @ X713 )
| ( X714 @ X715 ) )
& ( ( in @ ( esk26_2 @ X717 @ X718 ) @ X717 )
| ~ ( in @ X720 @ X717 )
| ~ ( X718 @ X720 ) )
& ( ( X718 @ ( esk26_2 @ X717 @ X718 ) )
| ~ ( in @ X720 @ X717 )
| ~ ( X718 @ X720 ) )
& ( ( in @ ( esk27_2 @ X721 @ X722 ) @ X721 )
| ~ ( in @ X724 @ X721 )
| ~ ( X722 @ X724 ) )
& ( ( X722 @ ( esk27_2 @ X721 @ X722 ) )
| ~ ( in @ X724 @ X721 )
| ~ ( X722 @ X724 ) )
& ( ( in @ ( esk28_2 @ X725 @ X726 ) @ X725 )
| ~ ( in @ X727 @ X725 )
| ( X726 @ X727 ) )
& ( ~ ( X726 @ ( esk28_2 @ X725 @ X726 ) )
| ~ ( in @ X727 @ X725 )
| ( X726 @ X727 ) )
& ( ~ X729
| ( in @ emptyset @ ( prop2set @ X729 ) ) )
& ( ~ X730
| ( set2prop @ ( prop2set @ X730 ) ) )
& ( ( in @ ( esk29_2 @ X731 @ X732 ) @ X731 )
| ~ ( in @ X734 @ X731 )
| ~ ( X732 @ X734 ) )
& ( ( X732 @ ( esk29_2 @ X731 @ X732 ) )
| ~ ( in @ X734 @ X731 )
| ~ ( X732 @ X734 ) )
& ( ( in @ ( esk30_2 @ X735 @ X736 ) @ X735 )
| ~ ( in @ X737 @ X735 )
| ( X736 @ X737 ) )
& ( ~ ( X736 @ ( esk30_2 @ X735 @ X736 ) )
| ~ ( in @ X737 @ X735 )
| ( X736 @ X737 ) )
& ( ( X739 @ ( esk32_1 @ X739 ) )
| ( X739 @ ( esk31_2 @ X739 @ X740 ) )
| ~ ( X739 @ X740 ) )
& ( ~ ( X739 @ X743 )
| ( ( esk32_1 @ X739 )
= X743 )
| ( X739 @ ( esk31_2 @ X739 @ X740 ) )
| ~ ( X739 @ X740 ) )
& ( ( X739 @ ( esk32_1 @ X739 ) )
| ( X740
!= ( esk31_2 @ X739 @ X740 ) )
| ~ ( X739 @ X740 ) )
& ( ~ ( X739 @ X743 )
| ( ( esk32_1 @ X739 )
= X743 )
| ( X740
!= ( esk31_2 @ X739 @ X740 ) )
| ~ ( X739 @ X740 ) )
& ( ( X744 @ ( esk35_1 @ X744 ) )
| ( X744 @ ( esk33_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ~ ( X744 @ X749 )
| ( ( esk35_1 @ X744 )
= X749 )
| ( X744 @ ( esk33_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ( X744 @ ( esk35_1 @ X744 ) )
| ( X744 @ ( esk34_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ~ ( X744 @ X749 )
| ( ( esk35_1 @ X744 )
= X749 )
| ( X744 @ ( esk34_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ( X744 @ ( esk35_1 @ X744 ) )
| ( ( esk33_1 @ X744 )
!= ( esk34_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ~ ( X744 @ X749 )
| ( ( esk35_1 @ X744 )
= X749 )
| ( ( esk33_1 @ X744 )
!= ( esk34_1 @ X744 ) )
| ~ ( X744 @ X745 ) )
& ( ( X750 @ ( esk37_1 @ X750 ) )
| ~ ( X750 @ ( esk36_2 @ X750 @ X751 ) )
| ( ( esk36_2 @ X750 @ X751 )
!= X751 ) )
& ( ~ ( X750 @ X754 )
| ( ( esk37_1 @ X750 )
= X754 )
| ~ ( X750 @ ( esk36_2 @ X750 @ X751 ) )
| ( ( esk36_2 @ X750 @ X751 )
!= X751 ) )
& ( ( X750 @ ( esk37_1 @ X750 ) )
| ( X750 @ ( esk36_2 @ X750 @ X751 ) )
| ( ( esk36_2 @ X750 @ X751 )
= X751 ) )
& ( ~ ( X750 @ X754 )
| ( ( esk37_1 @ X750 )
= X754 )
| ( X750 @ ( esk36_2 @ X750 @ X751 ) )
| ( ( esk36_2 @ X750 @ X751 )
= X751 ) )
& ( ( X755 != X756 )
| ( X757 != X758 )
| ~ ( in @ X757 @ X755 )
| ( in @ X758 @ X756 ) )
& ( ~ ( in @ X761 @ X759 )
| ( in @ X762 @ X760 )
| ( X761 != X762 )
| ( X759 != X760 ) )
& ( ~ ( in @ X762 @ X760 )
| ( in @ X761 @ X759 )
| ( X761 != X762 )
| ( X759 != X760 ) )
& ( ( X763 @ ( esk38_2 @ X763 @ X764 ) )
| ~ ( X763 @ X764 )
| ~ ( X763 @ X766 )
| ~ ( X763 @ X767 )
| ( X766 = X767 ) )
& ( ( X764
!= ( esk38_2 @ X763 @ X764 ) )
| ~ ( X763 @ X764 )
| ~ ( X763 @ X766 )
| ~ ( X763 @ X767 )
| ( X766 = X767 ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( ( esk39_2 @ X768 @ X769 )
= ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ~ ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ~ ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X768 @ ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X769 @ ( esk42_2 @ X768 @ X769 ) )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X769 @ X775 )
| ( ( esk42_2 @ X768 @ X769 )
= X775 )
| ( X772
!= ( esk41_3 @ X768 @ X769 @ X772 ) )
| ~ ( X768 @ X772 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X769 @ ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ( X768 @ ( esk44_2 @ X768 @ X769 ) )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( ~ ( X768 @ X779 )
| ( ( esk44_2 @ X768 @ X769 )
= X779 )
| ( X776
!= ( esk43_3 @ X768 @ X769 @ X776 ) )
| ~ ( X769 @ X776 )
| ( X768 @ ( esk39_2 @ X768 @ X769 ) )
| ( X769 @ ( esk40_2 @ X768 @ X769 ) ) )
& ( emptyset = emptyset )
& ( ( X780 != X781 )
| ( X782 != X783 )
| ( ( setadjoin @ X780 @ X782 )
= ( setadjoin @ X781 @ X783 ) ) )
& ( ( X784 != X785 )
| ( ( powerset @ X784 )
= ( powerset @ X785 ) ) )
& ( ( X786 != X787 )
| ( ( setunion @ X786 )
= ( setunion @ X787 ) ) )
& ( omega = omega )
& ( ( X788 @ ( esk45_2 @ X788 @ X789 ) )
| ~ ( X788 @ X789 )
| ~ ( X788 @ X791 )
| ~ ( X788 @ X792 )
| ( X791 = X792 ) )
& ( ( X789
!= ( esk45_2 @ X788 @ X789 ) )
| ~ ( X788 @ X789 )
| ~ ( X788 @ X791 )
| ~ ( X788 @ X792 )
| ( X791 = X792 ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( ( esk46_2 @ X793 @ X794 )
= ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( ( esk46_2 @ X793 @ X794 )
= ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( ( esk46_2 @ X793 @ X794 )
= ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( ( esk46_2 @ X793 @ X794 )
= ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ~ ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ~ ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ~ ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ~ ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ~ ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ~ ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ~ ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ~ ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X793 @ ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X794 @ ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( X799
!= ( esk49_3 @ X793 @ X794 @ X799 ) )
| ~ ( X794 @ X799 )
| ( ( descr @ X793 )
= ( descr @ X794 ) )
| ( X797
!= ( esk48_3 @ X793 @ X794 @ X797 ) )
| ~ ( X793 @ X797 )
| ( X793 @ ( esk46_2 @ X793 @ X794 ) )
| ( X794 @ ( esk47_2 @ X793 @ X794 ) ) )
& ( ( in @ ( esk50_4 @ X801 @ X802 @ X803 @ X804 ) @ X801 )
| ( ( dsetconstr @ X801 @ X803 )
= ( dsetconstr @ X802 @ X804 ) )
| ( X801 != X802 ) )
& ( ( in @ ( esk51_4 @ X801 @ X802 @ X803 @ X804 ) @ X802 )
| ( ( dsetconstr @ X801 @ X803 )
= ( dsetconstr @ X802 @ X804 ) )
| ( X801 != X802 ) )
& ( ( ( esk50_4 @ X801 @ X802 @ X803 @ X804 )
= ( esk51_4 @ X801 @ X802 @ X803 @ X804 ) )
| ( ( dsetconstr @ X801 @ X803 )
= ( dsetconstr @ X802 @ X804 ) )
| ( X801 != X802 ) )
& ( ~ ( X803 @ ( esk50_4 @ X801 @ X802 @ X803 @ X804 ) )
| ~ ( X804 @ ( esk51_4 @ X801 @ X802 @ X803 @ X804 ) )
| ( ( dsetconstr @ X801 @ X803 )
= ( dsetconstr @ X802 @ X804 ) )
| ( X801 != X802 ) )
& ( ( X803 @ ( esk50_4 @ X801 @ X802 @ X803 @ X804 ) )
| ( X804 @ ( esk51_4 @ X801 @ X802 @ X803 @ X804 ) )
| ( ( dsetconstr @ X801 @ X803 )
= ( dsetconstr @ X802 @ X804 ) )
| ( X801 != X802 ) )
& ( ( in @ ( esk52_2 @ X807 @ X808 ) @ X807 )
| ( subset @ X807 @ X808 ) )
& ( ~ ( in @ ( esk52_2 @ X807 @ X808 ) @ X808 )
| ( subset @ X807 @ X808 ) )
& ( ( X810 != X811 )
| ( subset @ X811 @ X810 ) )
& ( ( X812 != X813 )
| ( subset @ X812 @ X813 ) )
& ( ( in @ ( esk53_2 @ X814 @ X815 ) @ X814 )
| ( subset @ X814 @ X815 ) )
& ( ~ ( in @ ( esk53_2 @ X814 @ X815 ) @ X815 )
| ( subset @ X814 @ X815 ) )
& ( subset @ emptyset @ X817 )
& ( ~ ( subset @ X818 @ X819 )
| ~ ( in @ X820 @ X818 )
| ( in @ X820 @ X819 ) )
& ( ~ ( subset @ X821 @ X822 )
| ( in @ X823 @ X822 )
| ~ ( in @ X823 @ X821 ) )
& ( ~ ( in @ X826 @ X824 )
| ( in @ X826 @ X825 )
| ~ ( subset @ X824 @ X825 ) )
& ( ( subset @ X827 @ X828 )
| ( X827 != X828 ) )
& ( ~ ( in @ X831 @ X829 )
| ( in @ X831 @ X830 )
| ( X829 != X830 ) )
& ( subset @ X832 @ X832 )
& ( ~ ( subset @ X833 @ X834 )
| ~ ( subset @ X834 @ X835 )
| ( subset @ X833 @ X835 ) )
& ( subset @ X837 @ ( setadjoin @ X836 @ X837 ) )
& ( ~ ( subset @ X838 @ X840 )
| ( subset @ X838 @ ( setadjoin @ X839 @ X840 ) ) )
& ( ~ ( subset @ X841 @ X842 )
| ( in @ X841 @ ( powerset @ X842 ) ) )
& ( subset @ esk54_0 @ esk55_0 )
& ( subset @ esk55_0 @ esk54_0 )
& ( esk54_0 != esk55_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])])])])])]) ).
thf(c_0_134,negated_conjecture,
! [X4: $i,X3: $i,X2: $i] :
( ( in @ X4 @ X3 )
| ~ ( subset @ X2 @ X3 )
| ~ ( in @ X4 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_135,negated_conjecture,
subset @ esk55_0 @ esk54_0,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_136,negated_conjecture,
esk54_0 != esk55_0,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_137,negated_conjecture,
! [X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ ( in @ ( esk1_2 @ X2 @ X3 ) @ X2 )
| ~ ( in @ ( esk1_2 @ X2 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_138,negated_conjecture,
! [X2: $i] :
( ( in @ X2 @ esk54_0 )
| ~ ( in @ X2 @ esk55_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
thf(c_0_139,negated_conjecture,
subset @ esk54_0 @ esk55_0,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_140,negated_conjecture,
~ ( in @ ( esk1_2 @ esk54_0 @ esk55_0 ) @ esk55_0 ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137])]),c_0_138]) ).
thf(c_0_141,negated_conjecture,
! [X2: $i] :
( ( in @ X2 @ esk55_0 )
| ~ ( in @ X2 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_139]) ).
thf(c_0_142,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ ( esk1_2 @ X2 @ X3 ) @ X2 )
| ( in @ ( esk1_2 @ X2 @ X3 ) @ X3 )
| ( X2 = X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
thf(c_0_143,negated_conjecture,
~ ( in @ ( esk1_2 @ esk54_0 @ esk55_0 ) @ esk54_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
thf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_142])]),c_0_140]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU574^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 16:06:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.26/0.67 # Version: 3.1.0-ho
% 1.26/0.67 # Preprocessing class: HSMMSLSSLLLCHFA.
% 1.26/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.67 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 1.26/0.67 # Starting ehoh_best3_rw with 300s (1) cores
% 1.26/0.67 # Starting almost_fo_3 with 300s (1) cores
% 1.26/0.67 # Starting new_ho_13 with 300s (1) cores
% 1.26/0.67 # ehoh_best3_avoidappvar with pid 16203 completed with status 0
% 1.26/0.67 # Result found by ehoh_best3_avoidappvar
% 1.26/0.67 # Preprocessing class: HSMMSLSSLLLCHFA.
% 1.26/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.67 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 1.26/0.67 # No SInE strategy applied
% 1.26/0.67 # Search class: HGHSM-FSLM31-SHFMMMBN
% 1.26/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.67 # Starting ho_unfolding_3 with 811s (1) cores
% 1.26/0.67 # Starting ehoh_best3_avoidappvar with 151s (1) cores
% 1.26/0.67 # Starting lpo1_def_fix with 136s (1) cores
% 1.26/0.67 # Starting full_lambda_2 with 136s (1) cores
% 1.26/0.67 # Starting new_ho_14 with 136s (1) cores
% 1.26/0.67 # new_ho_14 with pid 16221 completed with status 0
% 1.26/0.67 # Result found by new_ho_14
% 1.26/0.67 # Preprocessing class: HSMMSLSSLLLCHFA.
% 1.26/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.67 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 1.26/0.67 # No SInE strategy applied
% 1.26/0.67 # Search class: HGHSM-FSLM31-SHFMMMBN
% 1.26/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.67 # Starting ho_unfolding_3 with 811s (1) cores
% 1.26/0.67 # Starting ehoh_best3_avoidappvar with 151s (1) cores
% 1.26/0.67 # Starting lpo1_def_fix with 136s (1) cores
% 1.26/0.67 # Starting full_lambda_2 with 136s (1) cores
% 1.26/0.67 # Starting new_ho_14 with 136s (1) cores
% 1.26/0.67 # Preprocessing time : 0.002 s
% 1.26/0.67 # Presaturation interreduction done
% 1.26/0.67
% 1.26/0.67 # Proof found!
% 1.26/0.67 # SZS status Theorem
% 1.26/0.67 # SZS output start CNFRefutation
% See solution above
% 1.26/0.67 # Parsed axioms : 198
% 1.26/0.67 # Removed by relevancy pruning/SinE : 0
% 1.26/0.67 # Initial clauses : 308
% 1.26/0.67 # Removed in clause preprocessing : 119
% 1.26/0.67 # Initial clauses in saturation : 189
% 1.26/0.67 # Processed clauses : 897
% 1.26/0.67 # ...of these trivial : 88
% 1.26/0.67 # ...subsumed : 340
% 1.26/0.67 # ...remaining for further processing : 469
% 1.26/0.67 # Other redundant clauses eliminated : 306
% 1.26/0.67 # Clauses deleted for lack of memory : 0
% 1.26/0.67 # Backward-subsumed : 21
% 1.26/0.67 # Backward-rewritten : 11
% 1.26/0.67 # Generated clauses : 12568
% 1.26/0.67 # ...of the previous two non-redundant : 11535
% 1.26/0.67 # ...aggressively subsumed : 0
% 1.26/0.67 # Contextual simplify-reflections : 3
% 1.26/0.67 # Paramodulations : 12262
% 1.26/0.67 # Factorizations : 0
% 1.26/0.67 # NegExts : 0
% 1.26/0.67 # Equation resolutions : 306
% 1.26/0.67 # Disequality decompositions : 0
% 1.26/0.67 # Total rewrite steps : 811
% 1.26/0.67 # ...of those cached : 750
% 1.26/0.67 # Propositional unsat checks : 0
% 1.26/0.67 # Propositional check models : 0
% 1.26/0.67 # Propositional check unsatisfiable : 0
% 1.26/0.67 # Propositional clauses : 0
% 1.26/0.67 # Propositional clauses after purity: 0
% 1.26/0.67 # Propositional unsat core size : 0
% 1.26/0.67 # Propositional preprocessing time : 0.000
% 1.26/0.67 # Propositional encoding time : 0.000
% 1.26/0.67 # Propositional solver time : 0.000
% 1.26/0.67 # Success case prop preproc time : 0.000
% 1.26/0.67 # Success case prop encoding time : 0.000
% 1.26/0.67 # Success case prop solver time : 0.000
% 1.26/0.67 # Current number of processed clauses : 259
% 1.26/0.67 # Positive orientable unit clauses : 45
% 1.26/0.67 # Positive unorientable unit clauses: 0
% 1.26/0.67 # Negative unit clauses : 16
% 1.26/0.67 # Non-unit-clauses : 198
% 1.26/0.67 # Current number of unprocessed clauses: 10192
% 1.26/0.67 # ...number of literals in the above : 33496
% 1.26/0.67 # Current number of archived formulas : 0
% 1.26/0.67 # Current number of archived clauses : 197
% 1.26/0.67 # Clause-clause subsumption calls (NU) : 13247
% 1.26/0.67 # Rec. Clause-clause subsumption calls : 9056
% 1.26/0.67 # Non-unit clause-clause subsumptions : 166
% 1.26/0.67 # Unit Clause-clause subsumption calls : 544
% 1.26/0.67 # Rewrite failures with RHS unbound : 0
% 1.26/0.67 # BW rewrite match attempts : 21
% 1.26/0.67 # BW rewrite match successes : 5
% 1.26/0.67 # Condensation attempts : 0
% 1.26/0.67 # Condensation successes : 0
% 1.26/0.67 # Termbank termtop insertions : 167812
% 1.26/0.67 # Search garbage collected termcells : 10131
% 1.26/0.67
% 1.26/0.67 # -------------------------------------------------
% 1.26/0.67 # User time : 0.145 s
% 1.26/0.67 # System time : 0.014 s
% 1.26/0.67 # Total time : 0.159 s
% 1.26/0.67 # Maximum resident set size: 4400 pages
% 1.26/0.67
% 1.26/0.67 # -------------------------------------------------
% 1.26/0.67 # User time : 0.639 s
% 1.26/0.67 # System time : 0.047 s
% 1.26/0.67 # Total time : 0.686 s
% 1.26/0.67 # Maximum resident set size: 1924 pages
% 1.26/0.67 % E---3.1 exiting
% 1.26/0.67 % E exiting
%------------------------------------------------------------------------------