TSTP Solution File: SEU577^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU577^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 03:28:18 EDT 2024
% Result : Theorem 0.65s 0.55s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 259
% Syntax : Number of formulae : 307 ( 23 unt; 162 typ; 0 def)
% Number of atoms : 1169 ( 332 equ; 0 cnn)
% Maximal formula atoms : 354 ( 8 avg)
% Number of connectives : 4533 ( 412 ~; 460 |; 281 &;2653 @)
% ( 156 <=>; 571 =>; 0 <=; 0 <~>)
% Maximal formula depth : 417 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 306 ( 306 >; 0 *; 0 +; 0 <<)
% Number of symbols : 165 ( 162 usr; 100 con; 0-4 aty)
% Number of variables : 976 ( 63 ^ 809 !; 104 ?; 976 :)
% 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,
setextsub: $o ).
thf(decl_128,type,
subsetemptysetimpeq: $o ).
thf(decl_129,type,
powersetI1: $o ).
thf(decl_130,type,
epred1_0: $o ).
thf(decl_131,type,
esk1_2: $i > $i > $i ).
thf(decl_132,type,
esk2_2: $i > $i > $i ).
thf(decl_133,type,
esk3_2: $i > $i > $i ).
thf(decl_134,type,
esk4_1: $i > $i ).
thf(decl_135,type,
esk5_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_136,type,
esk6_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_137,type,
esk7_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_138,type,
esk8_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_139,type,
esk9_1: $i > $i ).
thf(decl_140,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(decl_141,type,
esk11_2: ( $i > $o ) > $i > $i ).
thf(decl_142,type,
esk12_1: ( $i > $o ) > $i ).
thf(decl_143,type,
esk13_2: ( $i > $o ) > $i > $i ).
thf(decl_144,type,
esk14_1: ( $i > $o ) > $i ).
thf(decl_145,type,
esk15_2: $i > $i > $i ).
thf(decl_146,type,
esk16_2: $i > $i > $i ).
thf(decl_147,type,
esk17_1: $i > $i ).
thf(decl_148,type,
esk18_1: $i > $i ).
thf(decl_149,type,
esk19_1: $i > $i ).
thf(decl_150,type,
esk20_2: $i > $i > $i ).
thf(decl_151,type,
esk21_3: $i > $i > $o > $i ).
thf(decl_152,type,
esk22_2: ( $i > $o ) > $i > $i ).
thf(decl_153,type,
esk23_1: ( $i > $o ) > $i ).
thf(decl_154,type,
esk24_1: $i > $i ).
thf(decl_155,type,
esk25_2: $i > ( $i > $o ) > $i ).
thf(decl_156,type,
esk26_2: $i > ( $i > $o ) > $i ).
thf(decl_157,type,
esk27_2: $i > ( $i > $o ) > $i ).
thf(decl_158,type,
esk28_2: $i > ( $i > $o ) > $i ).
thf(decl_159,type,
esk29_2: $i > ( $i > $o ) > $i ).
thf(decl_160,type,
esk30_2: $i > ( $i > $o ) > $i ).
thf(decl_161,type,
esk31_2: ( $i > $o ) > $i > $i ).
thf(decl_162,type,
esk32_1: ( $i > $o ) > $i ).
thf(decl_163,type,
esk33_1: ( $i > $o ) > $i ).
thf(decl_164,type,
esk34_1: ( $i > $o ) > $i ).
thf(decl_165,type,
esk35_1: ( $i > $o ) > $i ).
thf(decl_166,type,
esk36_2: ( $i > $o ) > $i > $i ).
thf(decl_167,type,
esk37_1: ( $i > $o ) > $i ).
thf(decl_168,type,
esk38_2: ( $i > $o ) > $i > $i ).
thf(decl_169,type,
esk39_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_170,type,
esk40_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_171,type,
esk41_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_172,type,
esk42_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_173,type,
esk43_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_174,type,
esk44_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_175,type,
esk45_2: ( $i > $o ) > $i > $i ).
thf(decl_176,type,
esk46_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_177,type,
esk47_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_178,type,
esk48_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_179,type,
esk49_3: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(decl_180,type,
esk50_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_181,type,
esk51_4: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(decl_182,type,
esk52_2: $i > $i > $i ).
thf(decl_183,type,
esk53_2: $i > $i > $i ).
thf(decl_184,type,
esk54_0: $i ).
thf(decl_185,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/sandbox/benchmark/theBenchmark.p',replAx) ).
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(descrp,axiom,
( descrp
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ( X1
@ ( descr
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',exuE1) ).
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(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',nonemptyI) ).
thf(exuE2,axiom,
( exuE2
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE2) ).
thf(exuI1,axiom,
( exuI1
<=> ! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/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(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(nonemptyImpWitness,axiom,
( nonemptyImpWitness
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dsetconstr__Cong) ).
thf(powersetE1,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ! [X4: $i,X5: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
=> ( subset @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE1) ).
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(emptysetAx,axiom,
( emptysetAx
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',setunionAx) ).
thf(omega0Ax,axiom,
( omega0Ax
<=> ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaSAx,axiom,
( omegaSAx
<=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',wellorderingAx) ).
thf(prop2setE,axiom,
( prop2setE
<=> ! [X10: $o,X2: $i] :
( ( in @ X2 @ ( prop2set @ X10 ) )
=> X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setE) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X11: $o] : X11 ) ),
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(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(setadjoinIL,axiom,
( setadjoinIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).
thf(emptyinunitempty,axiom,
( emptyinunitempty
<=> ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty) ).
thf(setadjoinIR,axiom,
( setadjoinIR
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ X4 )
=> ( in @ X3 @ ( setadjoin @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIR) ).
thf(setadjoinE,axiom,
( setadjoinE
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
=> ! [X12: $o] :
( ( ( X3 = X2 )
=> X12 )
=> ( ( ( in @ X3 @ X4 )
=> X12 )
=> X12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinOr,axiom,
( setadjoinOr
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
=> ( ( X3 = X2 )
| ( in @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinOr) ).
thf(powersetI,axiom,
( powersetI
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) )
=> ( in @ X5 @ ( powerset @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
thf(emptyinPowerset,axiom,
( emptyinPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(emptyInPowerset,axiom,
( emptyInPowerset
<=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset) ).
thf(powersetE,axiom,
( powersetE
<=> ! [X4: $i,X5: $i,X2: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
=> ( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE) ).
thf(setunionI,axiom,
( setunionI
<=> ! [X4: $i,X2: $i,X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> ( in @ X2 @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI) ).
thf(setunionE,axiom,
( setunionE
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ ( setunion @ X4 ) )
=> ! [X13: $o] :
( ! [X5: $i] :
( ( in @ X2 @ X5 )
=> ( ( in @ X5 @ X4 )
=> X13 ) )
=> X13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE) ).
thf(subPowSU,axiom,
( subPowSU
<=> ! [X4: $i,X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ ( powerset @ ( setunion @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU) ).
thf(uniqinunit,axiom,
( uniqinunit
<=> ! [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit) ).
thf(notinsingleton,axiom,
( notinsingleton
<=> ! [X2: $i,X3: $i] :
( ( X2 != X3 )
=> ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinsingleton) ).
thf(eqinunit,axiom,
( eqinunit
<=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit) ).
thf(singletonsswitch,axiom,
( singletonsswitch
<=> ! [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ emptyset ) )
=> ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletonsswitch) ).
thf(upairsetE,axiom,
( upairsetE
<=> ! [X2: $i,X3: $i,X14: $i] :
( ( in @ X14 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) )
=> ( ( X14 = X2 )
| ( X14 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetE) ).
thf(upairsetIL,axiom,
( upairsetIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL) ).
thf(upairsetIR,axiom,
( upairsetIR
<=> ! [X2: $i,X3: $i] : ( in @ X3 @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
thf(vacuousDall,axiom,
( vacuousDall
<=> ! [X1: $i > $o,X2: $i] :
( ( in @ X2 @ emptyset )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',quantDeMorgan4) ).
thf(prop2setI,axiom,
( prop2setI
<=> ! [X15: $o] :
( X15
=> ( in @ emptyset @ ( prop2set @ X15 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setI) ).
thf(prop2set2propI,axiom,
( prop2set2propI
<=> ! [X16: $o] :
( X16
=> ( set2prop @ ( prop2set @ X16 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',in__Cong) ).
thf(emptyset__Cong,axiom,
( emptyset__Cong
<=> ( emptyset = emptyset ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(powerset__Cong,axiom,
( powerset__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( ( powerset @ X4 )
= ( powerset @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powerset__Cong) ).
thf(setunion__Cong,axiom,
( setunion__Cong
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( ( setunion @ X4 )
= ( setunion @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunion__Cong) ).
thf(omega__Cong,axiom,
( omega__Cong
<=> ( omega = omega ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',subsetI1) ).
thf(eqimpsubset2,axiom,
( eqimpsubset2
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( subset @ X5 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(eqimpsubset1,axiom,
( eqimpsubset1
<=> ! [X4: $i,X5: $i] :
( ( X4 = X5 )
=> ( subset @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',subsetI2) ).
thf(emptysetsubset,axiom,
( emptysetsubset
<=> ! [X4: $i] : ( subset @ emptyset @ X4 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',notsubsetI) ).
thf(notequalI1,axiom,
( notequalI1
<=> ! [X4: $i,X5: $i] :
( ~ ( subset @ X4 @ X5 )
=> ( X4 != X5 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',notequalI2) ).
thf(subsetRefl,axiom,
( subsetRefl
<=> ! [X4: $i] : ( subset @ X4 @ X4 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',subsetTrans) ).
thf(setadjoinSub,axiom,
( setadjoinSub
<=> ! [X2: $i,X4: $i] : ( subset @ X4 @ ( setadjoin @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setadjoinSub2) ).
thf(subset2powerset,axiom,
( subset2powerset
<=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( in @ X4 @ ( powerset @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2powerset) ).
thf(setextsub,axiom,
( setextsub
<=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( ( subset @ X5 @ X4 )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).
thf(subsetemptysetimpeq,axiom,
( subsetemptysetimpeq
<=> ! [X4: $i] :
( ( subset @ X4 @ emptyset )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetemptysetimpeq) ).
thf(powersetI1,axiom,
( powersetI1
<=> ! [X4: $i,X5: $i] :
( ( subset @ X5 @ X4 )
=> ( in @ X5 @ ( powerset @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI1) ).
thf(c_0_96,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_97,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_98,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_99,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_100,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_101,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_102,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_103,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_104,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_105,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_106,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_107,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_108,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_109,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_110,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_111,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X274: $i] :
( ( X6 @ X2 @ X274 )
& ! [X275: $i] :
( ( X6 @ X2 @ X275 )
=> ( X274 = X275 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_96,c_0_97]) ).
thf(c_0_112,plain,
( descrp
= ( ! [X1: $i > $o] :
( ? [X276: $i] :
( ( X1 @ X276 )
& ! [X277: $i] :
( ( X1 @ X277 )
=> ( X276 = X277 ) ) )
=> ( X1
@ ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_98,c_0_97]) ).
thf(c_0_113,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_114,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_115,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_116,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X278: $i] :
( ( X1 @ X278 )
& ! [X279: $i] :
( ( X1 @ X279 )
=> ( X278 = X279 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_99,c_0_97]) ).
thf(c_0_117,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X280: $i] :
( ( X1 @ X280 )
& ! [X281: $i] :
( ( X1 @ X281 )
=> ( X280 = X281 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_100,c_0_97]) ).
thf(c_0_118,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_119,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_101]) ).
thf(c_0_120,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_102,c_0_101]) ).
thf(c_0_121,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_101]) ).
thf(c_0_122,plain,
( setoftrueEq
<=> ! [X4: $i] :
( ( dsetconstr @ X4
@ ^ [Z0: $i] : $true )
= X4 ) ),
inference(fof_simplification,[status(thm)],[setoftrueEq]) ).
thf(c_0_123,plain,
( exuE2
= ( ! [X1: $i > $o] :
( ? [X282: $i] :
( ( X1 @ X282 )
& ! [X283: $i] :
( ( X1 @ X283 )
=> ( X282 = X283 ) ) )
=> ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_103,c_0_97]) ).
thf(c_0_124,axiom,
( nonemptyImpWitness
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyImpWitness,c_0_101]) ).
thf(c_0_125,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_126,plain,
( exuI1
= ( ! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ? [X284: $i] :
( ( X1 @ X284 )
& ! [X285: $i] :
( ( X1 @ X285 )
=> ( X284 = X285 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_104,c_0_97]) ).
thf(c_0_127,plain,
( exuI3
= ( ! [X1: $i > $o] :
( ? [X2: $i] : ( X1 @ X2 )
=> ( ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) )
=> ? [X286: $i] :
( ( X1 @ X286 )
& ! [X287: $i] :
( ( X1 @ X287 )
=> ( X286 = X287 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_105,c_0_97]) ).
thf(c_0_128,plain,
( exuI2
= ( ! [X1: $i > $o] :
( ? [X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
<=> ( X3 = X2 ) )
=> ? [X288: $i] :
( ( X1 @ X288 )
& ! [X289: $i] :
( ( X1 @ X289 )
=> ( X288 = X289 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_106,c_0_97]) ).
thf(c_0_129,plain,
( exuE3u
= ( ! [X1: $i > $o] :
( ? [X290: $i] :
( ( X1 @ X290 )
& ! [X291: $i] :
( ( X1 @ X291 )
=> ( X290 = X291 ) ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_107,c_0_97]) ).
thf(c_0_130,plain,
( exu__Cong
= ( ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ? [X292: $i] :
( ( X1 @ X292 )
& ! [X293: $i] :
( ( X1 @ X293 )
=> ( X292 = X293 ) ) )
<=> ? [X294: $i] :
( ( X17 @ X294 )
& ! [X295: $i] :
( ( X17 @ X295 )
=> ( X294 = X295 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_108,c_0_97]) ).
thf(c_0_131,plain,
( exuEu
= ( ! [X1: $i > $o] :
( ? [X296: $i] :
( ( X1 @ X296 )
& ! [X297: $i] :
( ( X1 @ X297 )
=> ( X296 = X297 ) ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_109,c_0_97]) ).
thf(c_0_132,plain,
( descr__Cong
= ( ! [X1: $i > $o,X17: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X1 @ X2 )
<=> ( X17 @ X3 ) ) )
=> ( ? [X298: $i] :
( ( X1 @ X298 )
& ! [X299: $i] :
( ( X1 @ X299 )
=> ( X298 = X299 ) ) )
=> ( ? [X300: $i] :
( ( X17 @ X300 )
& ! [X301: $i] :
( ( X17 @ X301 )
=> ( X300 = X301 ) ) )
=> ( ( descr
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
= ( descr
@ ^ [Z0: $i] : ( X17 @ Z0 ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_110,c_0_97]) ).
thf(c_0_133,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_134,plain,
( epred1_0
<=> ! [X331: $i] :
? [X332: $i] :
( ! [X333: $i] :
( ( in @ X333 @ X332 )
=> ! [X334: $i] :
( ( in @ X334 @ X333 )
=> ( in @ X334 @ X331 ) ) )
& ! [X335: $i,X336: $i] :
( ( ( in @ X335 @ X331 )
& ( in @ X336 @ X331 ) )
=> ( ! [X337: $i] :
( ( in @ X337 @ X332 )
=> ( ( in @ X335 @ X337 )
<=> ( in @ X336 @ X337 ) ) )
=> ( X335 = X336 ) ) )
& ! [X338: $i,X339: $i] :
( ( ( in @ X338 @ X332 )
& ( in @ X339 @ X332 ) )
=> ( ! [X340: $i] :
( ( in @ X340 @ X338 )
=> ( in @ X340 @ X339 ) )
| ! [X341: $i] :
( ( in @ X341 @ X339 )
=> ( in @ X341 @ X338 ) ) ) )
& ! [X342: $i] :
( ( ! [X343: $i] :
( ( in @ X343 @ X342 )
=> ( in @ X343 @ X331 ) )
& ? [X344: $i] : ( in @ X344 @ X342 ) )
=> ? [X345: $i,X346: $i] :
( ( in @ X345 @ X332 )
& ( in @ X346 @ X342 )
& ~ ? [X347: $i] :
( ( in @ X347 @ X345 )
& ( in @ X347 @ X342 ) )
& ! [X348: $i] :
( ( in @ X348 @ X332 )
=> ( ! [X349: $i] :
( ( in @ X349 @ X348 )
=> ( in @ X349 @ X345 ) )
| ( in @ X346 @ X348 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_135,negated_conjecture,
~ ( ! [X302: $i,X303: $i] :
( ! [X304: $i] :
( ( in @ X304 @ X302 )
<=> ( in @ X304 @ X303 ) )
=> ( X302 = X303 ) )
=> ( ! [X305: $i] :
~ ( in @ X305 @ emptyset )
=> ( ! [X306: $i,X307: $i,X308: $i] :
( ( in @ X308 @ ( setadjoin @ X306 @ X307 ) )
<=> ( ( X308 = X306 )
| ( in @ X308 @ X307 ) ) )
=> ( ! [X309: $i,X310: $i] :
( ( in @ X310 @ ( powerset @ X309 ) )
<=> ! [X311: $i] :
( ( in @ X311 @ X310 )
=> ( in @ X311 @ X309 ) ) )
=> ( ! [X312: $i,X313: $i] :
( ( in @ X313 @ ( setunion @ X312 ) )
<=> ? [X314: $i] :
( ( in @ X313 @ X314 )
& ( in @ X314 @ X312 ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [X315: $i] :
( ( in @ X315 @ omega )
=> ( in @ ( setadjoin @ X315 @ X315 ) @ omega ) )
=> ( ! [X316: $i] :
( ( ( in @ emptyset @ X316 )
& ! [X317: $i] :
( ( ( in @ X317 @ omega )
& ( in @ X317 @ X316 ) )
=> ( in @ ( setadjoin @ X317 @ X317 ) @ X316 ) ) )
=> ! [X318: $i] :
( ( in @ X318 @ omega )
=> ( in @ X318 @ X316 ) ) )
=> ( ! [X319: $i > $i > $o,X320: $i] :
( ! [X321: $i] :
( ( in @ X321 @ X320 )
=> ? [X322: $i] :
( ( X319 @ X321 @ X322 )
& ! [X323: $i] :
( ( X319 @ X321 @ X323 )
=> ( X322 = X323 ) ) ) )
=> ? [X324: $i] :
! [X325: $i] :
( ( in @ X325 @ X324 )
<=> ? [X326: $i] :
( ( in @ X326 @ X320 )
& ( X319 @ X326 @ X325 ) ) ) )
=> ( ! [X327: $i] :
( ? [X328: $i] : ( in @ X328 @ X327 )
=> ? [X329: $i] :
( ( in @ X329 @ X327 )
& ~ ? [X330: $i] :
( ( in @ X330 @ X329 )
& ( in @ X330 @ X327 ) ) ) )
=> ( epred1_0
=> ( ! [X350: $i > $o] :
( ? [X351: $i] :
( ( X350 @ X351 )
& ! [X352: $i] :
( ( X350 @ X352 )
=> ( X351 = X352 ) ) )
=> ( X350
@ ( descr
@ ^ [Z0: $i] : ( X350 @ Z0 ) ) ) )
=> ( ! [X353: $i,X354: $i > $o,X355: $i] :
( ( in @ X355 @ X353 )
=> ( ( X354 @ X355 )
=> ( in @ X355 @ ( dsetconstr @ X353 @ X354 ) ) ) )
=> ( ! [X356: $i,X357: $i > $o,X358: $i] :
( ( in @ X358 @ ( dsetconstr @ X356 @ X357 ) )
=> ( in @ X358 @ X356 ) )
=> ( ! [X359: $i,X360: $i > $o,X361: $i] :
( ( in @ X361 @ ( dsetconstr @ X359 @ X360 ) )
=> ( X360 @ X361 ) )
=> ( ! [X362: $i > $o] :
( ? [X363: $i] :
( ( X362 @ X363 )
& ! [X364: $i] :
( ( X362 @ X364 )
=> ( X363 = X364 ) ) )
=> ? [X365: $i] :
( ( X362 @ X365 )
& ! [X366: $i] :
( ( X362 @ X366 )
=> ( X365 = X366 ) ) ) )
=> ( ! [X367: $o,X368: $i] :
( ( in @ X368 @ ( prop2set @ X367 ) )
=> X367 )
=> ( ! [X369: $i] :
( ( in @ X369 @ emptyset )
=> ! [X370: $o] : X370 )
=> ( ! [X371: $i] :
( ( in @ X371 @ emptyset )
=> ~ $true )
=> ( ! [X372: $i] :
~ ( in @ X372 @ emptyset )
=> ( ! [X373: $i > $o] :
( ? [X374: $i] :
( ( X373 @ X374 )
& ! [X375: $i] :
( ( X373 @ X375 )
=> ( X374 = X375 ) ) )
=> ? [X376: $i] : ( X373 @ X376 ) )
=> ( ! [X377: $i,X378: $i] :
( ! [X379: $i] :
( ( in @ X379 @ X377 )
=> ( in @ X379 @ X378 ) )
=> ( ! [X380: $i] :
( ( in @ X380 @ X378 )
=> ( in @ X380 @ X377 ) )
=> ( X377 = X378 ) ) )
=> ( ! [X381: $i] :
( ! [X382: $i] :
~ ( in @ X382 @ X381 )
=> ( X381 = emptyset ) )
=> ( ! [X383: $i] :
( ! [X384: $i] :
~ ( in @ X384 @ X383 )
=> ( X383 = emptyset ) )
=> ( ! [X385: $i,X386: $i > $o,X387: $i] :
( ( in @ X387 @ X385 )
=> ( ( in @ X387 @ ( dsetconstr @ X385 @ X386 ) )
<=> ( X386 @ X387 ) ) )
=> ( ! [X388: $i] :
( ( X388 != emptyset )
=> ? [X389: $i] : ( in @ X389 @ X388 ) )
=> ( ! [X390: $i,X391: $i > $o,X392: $i] :
( ( in @ X392 @ X390 )
=> ( ( X391 @ X392 )
=> ( ( dsetconstr @ X390 @ X391 )
!= emptyset ) ) )
=> ( ! [X393: $i] :
( ? [X394: $i] : ( in @ X394 @ X393 )
=> ( X393 != emptyset ) )
=> ( ! [X395: $i,X396: $i] : ( in @ X395 @ ( setadjoin @ X395 @ X396 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [X397: $i,X398: $i,X399: $i] :
( ( in @ X399 @ X398 )
=> ( in @ X399 @ ( setadjoin @ X397 @ X398 ) ) )
=> ( ! [X400: $i,X401: $i,X402: $i] :
( ( in @ X402 @ ( setadjoin @ X400 @ X401 ) )
=> ! [X403: $o] :
( ( ( X402 = X400 )
=> X403 )
=> ( ( ( in @ X402 @ X401 )
=> X403 )
=> X403 ) ) )
=> ( ! [X404: $i,X405: $i,X406: $i] :
( ( in @ X406 @ ( setadjoin @ X404 @ X405 ) )
=> ( ( X406 = X404 )
| ( in @ X406 @ X405 ) ) )
=> ( ! [X407: $i] :
( ( dsetconstr @ X407
@ ^ [Z0: $i] : $true )
= X407 )
=> ( ! [X408: $i,X409: $i] :
( ! [X410: $i] :
( ( in @ X410 @ X409 )
=> ( in @ X410 @ X408 ) )
=> ( in @ X409 @ ( powerset @ X408 ) ) )
=> ( ! [X411: $i] : ( in @ emptyset @ ( powerset @ X411 ) )
=> ( ! [X412: $i] : ( in @ emptyset @ ( powerset @ X412 ) )
=> ( ! [X413: $i,X414: $i,X415: $i] :
( ( in @ X414 @ ( powerset @ X413 ) )
=> ( ( in @ X415 @ X414 )
=> ( in @ X415 @ X413 ) ) )
=> ( ! [X416: $i,X417: $i,X418: $i] :
( ( in @ X417 @ X418 )
=> ( ( in @ X418 @ X416 )
=> ( in @ X417 @ ( setunion @ X416 ) ) ) )
=> ( ! [X419: $i,X420: $i] :
( ( in @ X420 @ ( setunion @ X419 ) )
=> ! [X421: $o] :
( ! [X422: $i] :
( ( in @ X420 @ X422 )
=> ( ( in @ X422 @ X419 )
=> X421 ) )
=> X421 ) )
=> ( ! [X423: $i,X424: $i] :
( ( in @ X424 @ X423 )
=> ( in @ X424 @ ( powerset @ ( setunion @ X423 ) ) ) )
=> ( ! [X425: $i > $o] :
( ? [X426: $i] :
( ( X425 @ X426 )
& ! [X427: $i] :
( ( X425 @ X427 )
=> ( X426 = X427 ) ) )
=> ? [X428: $i] :
! [X429: $i] :
( ( X425 @ X429 )
<=> ( X429 = X428 ) ) )
=> ( ! [X430: $i] :
( ( X430 != emptyset )
=> ? [X431: $i] :
( ( in @ X431 @ X430 )
& $true ) )
=> ( ! [X432: $i,X433: $i] :
( ( in @ X432 @ ( setadjoin @ X433 @ emptyset ) )
=> ( X432 = X433 ) )
=> ( ! [X434: $i,X435: $i] :
( ( X434 != X435 )
=> ~ ( in @ X435 @ ( setadjoin @ X434 @ emptyset ) ) )
=> ( ! [X436: $i,X437: $i] :
( ( X436 = X437 )
=> ( in @ X436 @ ( setadjoin @ X437 @ emptyset ) ) )
=> ( ! [X438: $i,X439: $i] :
( ( in @ X438 @ ( setadjoin @ X439 @ emptyset ) )
=> ( in @ X439 @ ( setadjoin @ X438 @ emptyset ) ) )
=> ( ! [X440: $i,X441: $i,X442: $i] :
( ( in @ X442 @ ( setadjoin @ X440 @ ( setadjoin @ X441 @ emptyset ) ) )
=> ( ( X442 = X440 )
| ( X442 = X441 ) ) )
=> ( ! [X443: $i,X444: $i] : ( in @ X443 @ ( setadjoin @ X443 @ ( setadjoin @ X444 @ emptyset ) ) )
=> ( ! [X445: $i,X446: $i] : ( in @ X446 @ ( setadjoin @ X445 @ ( setadjoin @ X446 @ emptyset ) ) )
=> ( ! [X447: $i,X448: $i > $o] :
( ? [X449: $i] :
( ( in @ X449 @ X447 )
& ( X448 @ X449 ) )
=> ( ( ( dsetconstr @ X447 @ X448 )
= emptyset )
=> ~ $true ) )
=> ( ! [X450: $i > $o,X451: $i] :
( ( in @ X451 @ emptyset )
=> ( X450 @ X451 ) )
=> ( ! [X452: $i,X453: $i > $o] :
( ~ ! [X454: $i] :
( ( in @ X454 @ X452 )
=> ( X453 @ X454 ) )
=> ? [X455: $i] :
( ( in @ X455 @ X452 )
& ~ ( X453 @ X455 ) ) )
=> ( ! [X456: $i,X457: $i > $o] :
( ! [X458: $i] :
( ( in @ X458 @ X456 )
=> ~ ( X457 @ X458 ) )
=> ~ ? [X459: $i] :
( ( in @ X459 @ X456 )
& ( X457 @ X459 ) ) )
=> ( ! [X460: $i,X461: $i > $o] :
( ~ ? [X462: $i] :
( ( in @ X462 @ X460 )
& ( X461 @ X462 ) )
=> ! [X463: $i] :
( ( in @ X463 @ X460 )
=> ~ ( X461 @ X463 ) ) )
=> ( ! [X464: $i,X465: $i > $o] :
( ? [X466: $i] :
( ( in @ X466 @ X464 )
& ~ ( X465 @ X466 ) )
=> ~ ! [X467: $i] :
( ( in @ X467 @ X464 )
=> ( X465 @ X467 ) ) )
=> ( ! [X468: $o] :
( X468
=> ( in @ emptyset @ ( prop2set @ X468 ) ) )
=> ( ! [X469: $o] :
( X469
=> ( set2prop @ ( prop2set @ X469 ) ) )
=> ( ! [X470: $i,X471: $i > $o] :
( ~ ? [X472: $i] :
( ( in @ X472 @ X470 )
& ( X471 @ X472 ) )
=> ! [X473: $i] :
( ( in @ X473 @ X470 )
=> ~ ( X471 @ X473 ) ) )
=> ( ! [X474: $i,X475: $i > $o] :
( ~ ! [X476: $i] :
( ( in @ X476 @ X474 )
=> ( X475 @ X476 ) )
=> ? [X477: $i] :
( ( in @ X477 @ X474 )
& ~ ( X475 @ X477 ) ) )
=> ( ! [X478: $i > $o] :
( ? [X479: $i] :
( ( X478 @ X479 )
& ! [X480: $i] :
( ( X478 @ X480 )
=> ( X479 = X480 ) ) )
=> ? [X481: $i] :
( ( X478 @ X481 )
& ! [X482: $i] :
( ( X478 @ X482 )
=> ( X481 = X482 ) ) ) )
=> ( ! [X483: $i > $o] :
( ? [X484: $i] : ( X483 @ X484 )
=> ( ! [X485: $i,X486: $i] :
( ( X483 @ X485 )
=> ( ( X483 @ X486 )
=> ( X485 = X486 ) ) )
=> ? [X487: $i] :
( ( X483 @ X487 )
& ! [X488: $i] :
( ( X483 @ X488 )
=> ( X487 = X488 ) ) ) ) )
=> ( ! [X489: $i > $o] :
( ? [X490: $i] :
! [X491: $i] :
( ( X489 @ X491 )
<=> ( X491 = X490 ) )
=> ? [X492: $i] :
( ( X489 @ X492 )
& ! [X493: $i] :
( ( X489 @ X493 )
=> ( X492 = X493 ) ) ) )
=> ( ! [X494: $i,X495: $i] :
( ( X494 = X495 )
=> ! [X496: $i,X497: $i] :
( ( X496 = X497 )
=> ( ( in @ X496 @ X494 )
=> ( in @ X497 @ X495 ) ) ) )
=> ( ! [X498: $i,X499: $i] :
( ( X498 = X499 )
=> ! [X500: $i,X501: $i] :
( ( X500 = X501 )
=> ( ( in @ X500 @ X498 )
<=> ( in @ X501 @ X499 ) ) ) )
=> ( ! [X502: $i > $o] :
( ? [X503: $i] :
( ( X502 @ X503 )
& ! [X504: $i] :
( ( X502 @ X504 )
=> ( X503 = X504 ) ) )
=> ! [X505: $i,X506: $i] :
( ( X502 @ X505 )
=> ( ( X502 @ X506 )
=> ( X505 = X506 ) ) ) )
=> ( ! [X507: $i > $o,X508: $i > $o] :
( ! [X509: $i,X510: $i] :
( ( X509 = X510 )
=> ( ( X507 @ X509 )
<=> ( X508 @ X510 ) ) )
=> ( ? [X511: $i] :
( ( X507 @ X511 )
& ! [X512: $i] :
( ( X507 @ X512 )
=> ( X511 = X512 ) ) )
<=> ? [X513: $i] :
( ( X508 @ X513 )
& ! [X514: $i] :
( ( X508 @ X514 )
=> ( X513 = X514 ) ) ) ) )
=> ( ( emptyset = emptyset )
=> ( ! [X515: $i,X516: $i] :
( ( X515 = X516 )
=> ! [X517: $i,X518: $i] :
( ( X517 = X518 )
=> ( ( setadjoin @ X515 @ X517 )
= ( setadjoin @ X516 @ X518 ) ) ) )
=> ( ! [X519: $i,X520: $i] :
( ( X519 = X520 )
=> ( ( powerset @ X519 )
= ( powerset @ X520 ) ) )
=> ( ! [X521: $i,X522: $i] :
( ( X521 = X522 )
=> ( ( setunion @ X521 )
= ( setunion @ X522 ) ) )
=> ( ( omega = omega )
=> ( ! [X523: $i > $o] :
( ? [X524: $i] :
( ( X523 @ X524 )
& ! [X525: $i] :
( ( X523 @ X525 )
=> ( X524 = X525 ) ) )
=> ! [X526: $i,X527: $i] :
( ( X523 @ X526 )
=> ( ( X523 @ X527 )
=> ( X526 = X527 ) ) ) )
=> ( ! [X528: $i > $o,X529: $i > $o] :
( ! [X530: $i,X531: $i] :
( ( X530 = X531 )
=> ( ( X528 @ X530 )
<=> ( X529 @ X531 ) ) )
=> ( ? [X532: $i] :
( ( X528 @ X532 )
& ! [X533: $i] :
( ( X528 @ X533 )
=> ( X532 = X533 ) ) )
=> ( ? [X534: $i] :
( ( X529 @ X534 )
& ! [X535: $i] :
( ( X529 @ X535 )
=> ( X534 = X535 ) ) )
=> ( ( descr @ X528 )
= ( descr @ X529 ) ) ) ) )
=> ( ! [X536: $i,X537: $i] :
( ( X536 = X537 )
=> ! [X538: $i > $o,X539: $i > $o] :
( ! [X540: $i] :
( ( in @ X540 @ X536 )
=> ! [X541: $i] :
( ( in @ X541 @ X537 )
=> ( ( X540 = X541 )
=> ( ( X538 @ X540 )
<=> ( X539 @ X541 ) ) ) ) )
=> ( ( dsetconstr @ X536 @ X538 )
= ( dsetconstr @ X537 @ X539 ) ) ) )
=> ( ! [X542: $i,X543: $i] :
( ! [X544: $i] :
( ( in @ X544 @ X542 )
=> ( in @ X544 @ X543 ) )
=> ( subset @ X542 @ X543 ) )
=> ( ! [X545: $i,X546: $i] :
( ( X545 = X546 )
=> ( subset @ X546 @ X545 ) )
=> ( ! [X547: $i,X548: $i] :
( ( X547 = X548 )
=> ( subset @ X547 @ X548 ) )
=> ( ! [X549: $i,X550: $i] :
( ! [X551: $i] :
( ( in @ X551 @ X549 )
=> ( in @ X551 @ X550 ) )
=> ( subset @ X549 @ X550 ) )
=> ( ! [X552: $i] : ( subset @ emptyset @ X552 )
=> ( ! [X553: $i,X554: $i,X555: $i] :
( ( subset @ X553 @ X554 )
=> ( ( in @ X555 @ X553 )
=> ( in @ X555 @ X554 ) ) )
=> ( ! [X556: $i,X557: $i,X558: $i] :
( ( subset @ X556 @ X557 )
=> ( ~ ( in @ X558 @ X557 )
=> ~ ( in @ X558 @ X556 ) ) )
=> ( ! [X559: $i,X560: $i,X561: $i] :
( ( in @ X561 @ X559 )
=> ( ~ ( in @ X561 @ X560 )
=> ~ ( subset @ X559 @ X560 ) ) )
=> ( ! [X562: $i,X563: $i] :
( ~ ( subset @ X562 @ X563 )
=> ( X562 != X563 ) )
=> ( ! [X564: $i,X565: $i,X566: $i] :
( ( in @ X566 @ X564 )
=> ( ~ ( in @ X566 @ X565 )
=> ( X564 != X565 ) ) )
=> ( ! [X567: $i] : ( subset @ X567 @ X567 )
=> ( ! [X568: $i,X569: $i,X570: $i] :
( ( subset @ X568 @ X569 )
=> ( ( subset @ X569 @ X570 )
=> ( subset @ X568 @ X570 ) ) )
=> ( ! [X571: $i,X572: $i] : ( subset @ X572 @ ( setadjoin @ X571 @ X572 ) )
=> ( ! [X573: $i,X574: $i,X575: $i] :
( ( subset @ X573 @ X575 )
=> ( subset @ X573 @ ( setadjoin @ X574 @ X575 ) ) )
=> ( ! [X576: $i,X577: $i] :
( ( subset @ X576 @ X577 )
=> ( in @ X576 @ ( powerset @ X577 ) ) )
=> ( ! [X578: $i,X579: $i] :
( ( subset @ X578 @ X579 )
=> ( ( subset @ X579 @ X578 )
=> ( X578 = X579 ) ) )
=> ( ! [X580: $i] :
( ( subset @ X580 @ emptyset )
=> ( X580 = emptyset ) )
=> ( ! [X581: $i,X582: $i] :
( ( subset @ X582 @ X581 )
=> ( in @ X582 @ ( powerset @ X581 ) ) )
=> ! [X4: $i,X5: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
=> ( subset @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[powersetE1]),setextAx]),emptysetAx]),setadjoinAx]),powersetAx]),setunionAx]),omega0Ax]),omegaSAx]),omegaIndAx]),c_0_111]),foundationAx]),wellorderingAx]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),prop2setE]),emptysetE]),emptysetimpfalse]),notinemptyset]),c_0_117]),setext]),emptyI]),noeltsimpempty]),c_0_118]),c_0_119]),c_0_120]),c_0_121]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_122]),powersetI]),emptyinPowerset]),emptyInPowerset]),powersetE]),setunionI]),setunionE]),subPowSU]),c_0_123]),c_0_124]),uniqinunit]),notinsingleton]),eqinunit]),singletonsswitch]),upairsetE]),upairsetIL]),upairsetIR]),c_0_125]),vacuousDall]),quantDeMorgan1]),quantDeMorgan2]),quantDeMorgan3]),quantDeMorgan4]),prop2setI]),prop2set2propI]),notdexE]),notdallE]),c_0_126]),c_0_127]),c_0_128]),inCongP]),in__Cong]),c_0_129]),c_0_130]),emptyset__Cong]),setadjoin__Cong]),powerset__Cong]),setunion__Cong]),omega__Cong]),c_0_131]),c_0_132]),c_0_133]),subsetI1]),eqimpsubset2]),eqimpsubset1]),subsetI2]),emptysetsubset]),subsetE]),subsetE2]),notsubsetI]),notequalI1]),notequalI2]),subsetRefl]),subsetTrans]),setadjoinSub]),setadjoinSub2]),subset2powerset]),setextsub]),subsetemptysetimpeq]),powersetI1])])]),c_0_134]) ).
thf(c_0_136,negated_conjecture,
! [X583: $i,X584: $i,X586: $i,X587: $i,X588: $i,X589: $i,X590: $i,X591: $i,X592: $i,X593: $i,X594: $i,X596: $i,X597: $i,X599: $i,X600: $i,X601: $i,X602: $i,X603: $i,X605: $i,X606: $i > $i > $o,X607: $i,X609: $i,X612: $i,X614: $i,X615: $i,X616: $i,X617: $i,X619: $i,X620: $i > $o,X621: $i,X623: $i,X624: $i > $o,X625: $i,X626: $i,X627: $i > $o,X628: $i,X629: $i,X630: $i > $o,X631: $i,X632: $i > $o,X633: $i,X636: $i,X637: $o,X638: $i,X639: $i,X640: $o,X641: $i,X642: $i,X643: $i > $o,X644: $i,X647: $i,X648: $i,X651: $i,X653: $i,X655: $i,X656: $i > $o,X657: $i,X658: $i,X660: $i,X661: $i > $o,X662: $i,X663: $i,X664: $i,X665: $i,X666: $i,X667: $i,X668: $i,X669: $i,X670: $i,X671: $i,X672: $i,X673: $o,X674: $i,X675: $i,X676: $i,X677: $i,X678: $i,X679: $i,X681: $i,X682: $i,X683: $i,X684: $i,X685: $i,X686: $i,X687: $i,X688: $i,X689: $i,X690: $i,X691: $o,X693: $i,X694: $i,X695: $i > $o,X696: $i,X699: $i,X700: $i,X701: $i,X703: $i,X704: $i,X705: $i,X706: $i,X707: $i,X708: $i,X709: $i,X710: $i,X711: $i,X712: $i,X713: $i,X714: $i,X715: $i,X716: $i,X717: $i,X718: $i,X719: $i > $o,X720: $i,X721: $i > $o,X722: $i,X723: $i,X724: $i > $o,X725: $i,X727: $i,X728: $i > $o,X730: $i,X731: $i,X732: $i > $o,X734: $i,X735: $i,X736: $i > $o,X737: $i,X739: $o,X740: $o,X741: $i,X742: $i > $o,X744: $i,X745: $i,X746: $i > $o,X747: $i,X749: $i > $o,X750: $i,X753: $i,X754: $i > $o,X755: $i,X759: $i,X760: $i > $o,X761: $i,X764: $i,X765: $i,X766: $i,X767: $i,X768: $i,X769: $i,X770: $i,X771: $i,X772: $i,X773: $i > $o,X774: $i,X776: $i,X777: $i,X778: $i > $o,X779: $i > $o,X782: $i,X785: $i,X786: $i,X789: $i,X790: $i,X791: $i,X792: $i,X793: $i,X794: $i,X795: $i,X796: $i,X797: $i,X798: $i > $o,X799: $i,X801: $i,X802: $i,X803: $i > $o,X804: $i > $o,X807: $i,X809: $i,X811: $i,X812: $i,X813: $i > $o,X814: $i > $o,X817: $i,X818: $i,X820: $i,X821: $i,X822: $i,X823: $i,X824: $i,X825: $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,X843: $i,X844: $i,X845: $i,X846: $i,X847: $i,X848: $i,X849: $i,X850: $i,X851: $i,X852: $i,X853: $i,X854: $i,X855: $i,X856: $i,X857: $i] :
( ( ~ ( in @ ( esk1_2 @ X583 @ X584 ) @ X583 )
| ~ ( in @ ( esk1_2 @ X583 @ X584 ) @ X584 )
| ( X583 = X584 ) )
& ( ( in @ ( esk1_2 @ X583 @ X584 ) @ X583 )
| ( in @ ( esk1_2 @ X583 @ X584 ) @ X584 )
| ( X583 = X584 ) )
& ~ ( in @ X586 @ emptyset )
& ( ~ ( in @ X589 @ ( setadjoin @ X587 @ X588 ) )
| ( X589 = X587 )
| ( in @ X589 @ X588 ) )
& ( ( X589 != X587 )
| ( in @ X589 @ ( setadjoin @ X587 @ X588 ) ) )
& ( ~ ( in @ X589 @ X588 )
| ( in @ X589 @ ( setadjoin @ X587 @ X588 ) ) )
& ( ~ ( in @ X591 @ ( powerset @ X590 ) )
| ~ ( in @ X592 @ X591 )
| ( in @ X592 @ X590 ) )
& ( ( in @ ( esk2_2 @ X593 @ X594 ) @ X594 )
| ( in @ X594 @ ( powerset @ X593 ) ) )
& ( ~ ( in @ ( esk2_2 @ X593 @ X594 ) @ X593 )
| ( in @ X594 @ ( powerset @ X593 ) ) )
& ( ( in @ X597 @ ( esk3_2 @ X596 @ X597 ) )
| ~ ( in @ X597 @ ( setunion @ X596 ) ) )
& ( ( in @ ( esk3_2 @ X596 @ X597 ) @ X596 )
| ~ ( in @ X597 @ ( setunion @ X596 ) ) )
& ( ~ ( in @ X600 @ X601 )
| ~ ( in @ X601 @ X599 )
| ( in @ X600 @ ( setunion @ X599 ) ) )
& ( in @ emptyset @ omega )
& ( ~ ( in @ X602 @ omega )
| ( in @ ( setadjoin @ X602 @ X602 ) @ omega ) )
& ( ( in @ ( esk4_1 @ X603 ) @ omega )
| ~ ( in @ emptyset @ X603 )
| ~ ( in @ X605 @ omega )
| ( in @ X605 @ X603 ) )
& ( ( in @ ( esk4_1 @ X603 ) @ X603 )
| ~ ( in @ emptyset @ X603 )
| ~ ( in @ X605 @ omega )
| ( in @ X605 @ X603 ) )
& ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X603 ) @ ( esk4_1 @ X603 ) ) @ X603 )
| ~ ( in @ emptyset @ X603 )
| ~ ( in @ X605 @ omega )
| ( in @ X605 @ X603 ) )
& ( ( in @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X607 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( in @ ( esk5_2 @ X606 @ X607 ) @ X607 ) )
& ( ( X606 @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X612 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( in @ ( esk5_2 @ X606 @ X607 ) @ X607 ) )
& ( ~ ( in @ X615 @ X607 )
| ~ ( X606 @ X615 @ X614 )
| ( in @ X614 @ ( esk7_2 @ X606 @ X607 ) )
| ( in @ ( esk5_2 @ X606 @ X607 ) @ X607 ) )
& ( ( in @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X607 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( X606 @ ( esk5_2 @ X606 @ X607 ) @ ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ( X606 @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X612 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( X606 @ ( esk5_2 @ X606 @ X607 ) @ ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ~ ( in @ X615 @ X607 )
| ~ ( X606 @ X615 @ X614 )
| ( in @ X614 @ ( esk7_2 @ X606 @ X607 ) )
| ( X606 @ ( esk5_2 @ X606 @ X607 ) @ ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ( in @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X607 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( X609
!= ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ( X606 @ ( esk8_3 @ X606 @ X607 @ X612 ) @ X612 )
| ~ ( in @ X612 @ ( esk7_2 @ X606 @ X607 ) )
| ( X609
!= ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ~ ( in @ X615 @ X607 )
| ~ ( X606 @ X615 @ X614 )
| ( in @ X614 @ ( esk7_2 @ X606 @ X607 ) )
| ( X609
!= ( esk6_3 @ X606 @ X607 @ X609 ) )
| ~ ( X606 @ ( esk5_2 @ X606 @ X607 ) @ X609 ) )
& ( ( in @ ( esk9_1 @ X616 ) @ X616 )
| ~ ( in @ X617 @ X616 ) )
& ( ~ ( in @ X619 @ ( esk9_1 @ X616 ) )
| ~ ( in @ X619 @ X616 )
| ~ ( in @ X617 @ X616 ) )
& epred1_0
& ( ( X620 @ ( esk10_2 @ X620 @ X621 ) )
| ~ ( X620 @ X621 )
| ( X620 @ ( descr @ X620 ) ) )
& ( ( X621
!= ( esk10_2 @ X620 @ X621 ) )
| ~ ( X620 @ X621 )
| ( X620 @ ( descr @ X620 ) ) )
& ( ~ ( in @ X625 @ X623 )
| ~ ( X624 @ X625 )
| ( in @ X625 @ ( dsetconstr @ X623 @ X624 ) ) )
& ( ~ ( in @ X628 @ ( dsetconstr @ X626 @ X627 ) )
| ( in @ X628 @ X626 ) )
& ( ~ ( in @ X631 @ ( dsetconstr @ X629 @ X630 ) )
| ( X630 @ X631 ) )
& ( ( X632 @ ( esk12_1 @ X632 ) )
| ( X632 @ ( esk11_2 @ X632 @ X633 ) )
| ~ ( X632 @ X633 ) )
& ( ~ ( X632 @ X636 )
| ( ( esk12_1 @ X632 )
= X636 )
| ( X632 @ ( esk11_2 @ X632 @ X633 ) )
| ~ ( X632 @ X633 ) )
& ( ( X632 @ ( esk12_1 @ X632 ) )
| ( X633
!= ( esk11_2 @ X632 @ X633 ) )
| ~ ( X632 @ X633 ) )
& ( ~ ( X632 @ X636 )
| ( ( esk12_1 @ X632 )
= X636 )
| ( X633
!= ( esk11_2 @ X632 @ X633 ) )
| ~ ( X632 @ X633 ) )
& ( ~ ( in @ X638 @ ( prop2set @ X637 ) )
| X637 )
& ( ~ ( in @ X639 @ emptyset )
| X640 )
& ( ~ ( in @ X641 @ emptyset )
| ~ $true )
& ~ ( in @ X642 @ emptyset )
& ( ( X643 @ ( esk13_2 @ X643 @ X644 ) )
| ~ ( X643 @ X644 )
| ( X643 @ ( esk14_1 @ X643 ) ) )
& ( ( X644
!= ( esk13_2 @ X643 @ X644 ) )
| ~ ( X643 @ X644 )
| ( X643 @ ( esk14_1 @ X643 ) ) )
& ( ( in @ ( esk16_2 @ X647 @ X648 ) @ X648 )
| ( X647 = X648 )
| ( in @ ( esk15_2 @ X647 @ X648 ) @ X647 ) )
& ( ~ ( in @ ( esk16_2 @ X647 @ X648 ) @ X647 )
| ( X647 = X648 )
| ( in @ ( esk15_2 @ X647 @ X648 ) @ X647 ) )
& ( ( in @ ( esk16_2 @ X647 @ X648 ) @ X648 )
| ( X647 = X648 )
| ~ ( in @ ( esk15_2 @ X647 @ X648 ) @ X648 ) )
& ( ~ ( in @ ( esk16_2 @ X647 @ X648 ) @ X647 )
| ( X647 = X648 )
| ~ ( in @ ( esk15_2 @ X647 @ X648 ) @ X648 ) )
& ( ( in @ ( esk17_1 @ X651 ) @ X651 )
| ( X651 = emptyset ) )
& ( ( in @ ( esk18_1 @ X653 ) @ X653 )
| ( X653 = emptyset ) )
& ( ~ ( in @ X657 @ ( dsetconstr @ X655 @ X656 ) )
| ( X656 @ X657 )
| ~ ( in @ X657 @ X655 ) )
& ( ~ ( X656 @ X657 )
| ( in @ X657 @ ( dsetconstr @ X655 @ X656 ) )
| ~ ( in @ X657 @ X655 ) )
& ( ( X658 = emptyset )
| ( in @ ( esk19_1 @ X658 ) @ X658 ) )
& ( ~ ( in @ X662 @ X660 )
| ~ ( X661 @ X662 )
| ( ( dsetconstr @ X660 @ X661 )
!= emptyset ) )
& ( ~ ( in @ X664 @ X663 )
| ( X663 != emptyset ) )
& ( in @ X665 @ ( setadjoin @ X665 @ X666 ) )
& ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
& ( ~ ( in @ X669 @ X668 )
| ( in @ X669 @ ( setadjoin @ X667 @ X668 ) ) )
& ( ( in @ X672 @ X671 )
| X673
| ( X672 = X670 )
| ~ ( in @ X672 @ ( setadjoin @ X670 @ X671 ) ) )
& ( ~ X673
| X673
| ( X672 = X670 )
| ~ ( in @ X672 @ ( setadjoin @ X670 @ X671 ) ) )
& ( ( in @ X672 @ X671 )
| X673
| ~ X673
| ~ ( in @ X672 @ ( setadjoin @ X670 @ X671 ) ) )
& ( ~ X673
| X673
| ~ X673
| ~ ( in @ X672 @ ( setadjoin @ X670 @ X671 ) ) )
& ( ~ ( in @ X676 @ ( setadjoin @ X674 @ X675 ) )
| ( X676 = X674 )
| ( in @ X676 @ X675 ) )
& ( ( dsetconstr @ X677
@ ^ [Z0: $i] : $true )
= X677 )
& ( ( in @ ( esk20_2 @ X678 @ X679 ) @ X679 )
| ( in @ X679 @ ( powerset @ X678 ) ) )
& ( ~ ( in @ ( esk20_2 @ X678 @ X679 ) @ X678 )
| ( in @ X679 @ ( powerset @ X678 ) ) )
& ( in @ emptyset @ ( powerset @ X681 ) )
& ( in @ emptyset @ ( powerset @ X682 ) )
& ( ~ ( in @ X684 @ ( powerset @ X683 ) )
| ~ ( in @ X685 @ X684 )
| ( in @ X685 @ X683 ) )
& ( ~ ( in @ X687 @ X688 )
| ~ ( in @ X688 @ X686 )
| ( in @ X687 @ ( setunion @ X686 ) ) )
& ( ( in @ X690 @ ( esk21_3 @ X689 @ X690 @ X691 ) )
| X691
| ~ ( in @ X690 @ ( setunion @ X689 ) ) )
& ( ( in @ ( esk21_3 @ X689 @ X690 @ X691 ) @ X689 )
| X691
| ~ ( in @ X690 @ ( setunion @ X689 ) ) )
& ( ~ X691
| X691
| ~ ( in @ X690 @ ( setunion @ X689 ) ) )
& ( ~ ( in @ X694 @ X693 )
| ( in @ X694 @ ( powerset @ ( setunion @ X693 ) ) ) )
& ( ~ ( X695 @ X699 )
| ( X699
= ( esk23_1 @ X695 ) )
| ( X695 @ ( esk22_2 @ X695 @ X696 ) )
| ~ ( X695 @ X696 ) )
& ( ( X700
!= ( esk23_1 @ X695 ) )
| ( X695 @ X700 )
| ( X695 @ ( esk22_2 @ X695 @ X696 ) )
| ~ ( X695 @ X696 ) )
& ( ~ ( X695 @ X699 )
| ( X699
= ( esk23_1 @ X695 ) )
| ( X696
!= ( esk22_2 @ X695 @ X696 ) )
| ~ ( X695 @ X696 ) )
& ( ( X700
!= ( esk23_1 @ X695 ) )
| ( X695 @ X700 )
| ( X696
!= ( esk22_2 @ X695 @ X696 ) )
| ~ ( X695 @ X696 ) )
& ( ( in @ ( esk24_1 @ X701 ) @ X701 )
| ( X701 = emptyset ) )
& ( $true
| ( X701 = emptyset ) )
& ( ~ ( in @ X703 @ ( setadjoin @ X704 @ emptyset ) )
| ( X703 = X704 ) )
& ( ( X705 = X706 )
| ~ ( in @ X706 @ ( setadjoin @ X705 @ emptyset ) ) )
& ( ( X707 != X708 )
| ( in @ X707 @ ( setadjoin @ X708 @ emptyset ) ) )
& ( ~ ( in @ X709 @ ( setadjoin @ X710 @ emptyset ) )
| ( in @ X710 @ ( setadjoin @ X709 @ emptyset ) ) )
& ( ~ ( in @ X713 @ ( setadjoin @ X711 @ ( setadjoin @ X712 @ emptyset ) ) )
| ( X713 = X711 )
| ( X713 = X712 ) )
& ( in @ X714 @ ( setadjoin @ X714 @ ( setadjoin @ X715 @ emptyset ) ) )
& ( in @ X717 @ ( setadjoin @ X716 @ ( setadjoin @ X717 @ emptyset ) ) )
& ( ~ ( in @ X720 @ X718 )
| ~ ( X719 @ X720 )
| ( ( dsetconstr @ X718 @ X719 )
!= emptyset )
| ~ $true )
& ( ~ ( in @ X722 @ emptyset )
| ( X721 @ X722 ) )
& ( ( in @ ( esk25_2 @ X723 @ X724 ) @ X723 )
| ~ ( in @ X725 @ X723 )
| ( X724 @ X725 ) )
& ( ~ ( X724 @ ( esk25_2 @ X723 @ X724 ) )
| ~ ( in @ X725 @ X723 )
| ( X724 @ X725 ) )
& ( ( in @ ( esk26_2 @ X727 @ X728 ) @ X727 )
| ~ ( in @ X730 @ X727 )
| ~ ( X728 @ X730 ) )
& ( ( X728 @ ( esk26_2 @ X727 @ X728 ) )
| ~ ( in @ X730 @ X727 )
| ~ ( X728 @ X730 ) )
& ( ( in @ ( esk27_2 @ X731 @ X732 ) @ X731 )
| ~ ( in @ X734 @ X731 )
| ~ ( X732 @ X734 ) )
& ( ( X732 @ ( esk27_2 @ X731 @ X732 ) )
| ~ ( in @ X734 @ X731 )
| ~ ( X732 @ X734 ) )
& ( ( in @ ( esk28_2 @ X735 @ X736 ) @ X735 )
| ~ ( in @ X737 @ X735 )
| ( X736 @ X737 ) )
& ( ~ ( X736 @ ( esk28_2 @ X735 @ X736 ) )
| ~ ( in @ X737 @ X735 )
| ( X736 @ X737 ) )
& ( ~ X739
| ( in @ emptyset @ ( prop2set @ X739 ) ) )
& ( ~ X740
| ( set2prop @ ( prop2set @ X740 ) ) )
& ( ( in @ ( esk29_2 @ X741 @ X742 ) @ X741 )
| ~ ( in @ X744 @ X741 )
| ~ ( X742 @ X744 ) )
& ( ( X742 @ ( esk29_2 @ X741 @ X742 ) )
| ~ ( in @ X744 @ X741 )
| ~ ( X742 @ X744 ) )
& ( ( in @ ( esk30_2 @ X745 @ X746 ) @ X745 )
| ~ ( in @ X747 @ X745 )
| ( X746 @ X747 ) )
& ( ~ ( X746 @ ( esk30_2 @ X745 @ X746 ) )
| ~ ( in @ X747 @ X745 )
| ( X746 @ X747 ) )
& ( ( X749 @ ( esk32_1 @ X749 ) )
| ( X749 @ ( esk31_2 @ X749 @ X750 ) )
| ~ ( X749 @ X750 ) )
& ( ~ ( X749 @ X753 )
| ( ( esk32_1 @ X749 )
= X753 )
| ( X749 @ ( esk31_2 @ X749 @ X750 ) )
| ~ ( X749 @ X750 ) )
& ( ( X749 @ ( esk32_1 @ X749 ) )
| ( X750
!= ( esk31_2 @ X749 @ X750 ) )
| ~ ( X749 @ X750 ) )
& ( ~ ( X749 @ X753 )
| ( ( esk32_1 @ X749 )
= X753 )
| ( X750
!= ( esk31_2 @ X749 @ X750 ) )
| ~ ( X749 @ X750 ) )
& ( ( X754 @ ( esk35_1 @ X754 ) )
| ( X754 @ ( esk33_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ~ ( X754 @ X759 )
| ( ( esk35_1 @ X754 )
= X759 )
| ( X754 @ ( esk33_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ( X754 @ ( esk35_1 @ X754 ) )
| ( X754 @ ( esk34_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ~ ( X754 @ X759 )
| ( ( esk35_1 @ X754 )
= X759 )
| ( X754 @ ( esk34_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ( X754 @ ( esk35_1 @ X754 ) )
| ( ( esk33_1 @ X754 )
!= ( esk34_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ~ ( X754 @ X759 )
| ( ( esk35_1 @ X754 )
= X759 )
| ( ( esk33_1 @ X754 )
!= ( esk34_1 @ X754 ) )
| ~ ( X754 @ X755 ) )
& ( ( X760 @ ( esk37_1 @ X760 ) )
| ~ ( X760 @ ( esk36_2 @ X760 @ X761 ) )
| ( ( esk36_2 @ X760 @ X761 )
!= X761 ) )
& ( ~ ( X760 @ X764 )
| ( ( esk37_1 @ X760 )
= X764 )
| ~ ( X760 @ ( esk36_2 @ X760 @ X761 ) )
| ( ( esk36_2 @ X760 @ X761 )
!= X761 ) )
& ( ( X760 @ ( esk37_1 @ X760 ) )
| ( X760 @ ( esk36_2 @ X760 @ X761 ) )
| ( ( esk36_2 @ X760 @ X761 )
= X761 ) )
& ( ~ ( X760 @ X764 )
| ( ( esk37_1 @ X760 )
= X764 )
| ( X760 @ ( esk36_2 @ X760 @ X761 ) )
| ( ( esk36_2 @ X760 @ X761 )
= X761 ) )
& ( ( X765 != X766 )
| ( X767 != X768 )
| ~ ( in @ X767 @ X765 )
| ( in @ X768 @ X766 ) )
& ( ~ ( in @ X771 @ X769 )
| ( in @ X772 @ X770 )
| ( X771 != X772 )
| ( X769 != X770 ) )
& ( ~ ( in @ X772 @ X770 )
| ( in @ X771 @ X769 )
| ( X771 != X772 )
| ( X769 != X770 ) )
& ( ( X773 @ ( esk38_2 @ X773 @ X774 ) )
| ~ ( X773 @ X774 )
| ~ ( X773 @ X776 )
| ~ ( X773 @ X777 )
| ( X776 = X777 ) )
& ( ( X774
!= ( esk38_2 @ X773 @ X774 ) )
| ~ ( X773 @ X774 )
| ~ ( X773 @ X776 )
| ~ ( X773 @ X777 )
| ( X776 = X777 ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( ( esk39_2 @ X778 @ X779 )
= ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ~ ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ~ ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X778 @ ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X779 @ ( esk42_2 @ X778 @ X779 ) )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X779 @ X785 )
| ( ( esk42_2 @ X778 @ X779 )
= X785 )
| ( X782
!= ( esk41_3 @ X778 @ X779 @ X782 ) )
| ~ ( X778 @ X782 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X779 @ ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ( X778 @ ( esk44_2 @ X778 @ X779 ) )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( ~ ( X778 @ X789 )
| ( ( esk44_2 @ X778 @ X779 )
= X789 )
| ( X786
!= ( esk43_3 @ X778 @ X779 @ X786 ) )
| ~ ( X779 @ X786 )
| ( X778 @ ( esk39_2 @ X778 @ X779 ) )
| ( X779 @ ( esk40_2 @ X778 @ X779 ) ) )
& ( emptyset = emptyset )
& ( ( X790 != X791 )
| ( X792 != X793 )
| ( ( setadjoin @ X790 @ X792 )
= ( setadjoin @ X791 @ X793 ) ) )
& ( ( X794 != X795 )
| ( ( powerset @ X794 )
= ( powerset @ X795 ) ) )
& ( ( X796 != X797 )
| ( ( setunion @ X796 )
= ( setunion @ X797 ) ) )
& ( omega = omega )
& ( ( X798 @ ( esk45_2 @ X798 @ X799 ) )
| ~ ( X798 @ X799 )
| ~ ( X798 @ X801 )
| ~ ( X798 @ X802 )
| ( X801 = X802 ) )
& ( ( X799
!= ( esk45_2 @ X798 @ X799 ) )
| ~ ( X798 @ X799 )
| ~ ( X798 @ X801 )
| ~ ( X798 @ X802 )
| ( X801 = X802 ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( ( esk46_2 @ X803 @ X804 )
= ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( ( esk46_2 @ X803 @ X804 )
= ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( ( esk46_2 @ X803 @ X804 )
= ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( ( esk46_2 @ X803 @ X804 )
= ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ~ ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ~ ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ~ ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ~ ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ~ ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ~ ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ~ ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ~ ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X803 @ ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X804 @ ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( X809
!= ( esk49_3 @ X803 @ X804 @ X809 ) )
| ~ ( X804 @ X809 )
| ( ( descr @ X803 )
= ( descr @ X804 ) )
| ( X807
!= ( esk48_3 @ X803 @ X804 @ X807 ) )
| ~ ( X803 @ X807 )
| ( X803 @ ( esk46_2 @ X803 @ X804 ) )
| ( X804 @ ( esk47_2 @ X803 @ X804 ) ) )
& ( ( in @ ( esk50_4 @ X811 @ X812 @ X813 @ X814 ) @ X811 )
| ( ( dsetconstr @ X811 @ X813 )
= ( dsetconstr @ X812 @ X814 ) )
| ( X811 != X812 ) )
& ( ( in @ ( esk51_4 @ X811 @ X812 @ X813 @ X814 ) @ X812 )
| ( ( dsetconstr @ X811 @ X813 )
= ( dsetconstr @ X812 @ X814 ) )
| ( X811 != X812 ) )
& ( ( ( esk50_4 @ X811 @ X812 @ X813 @ X814 )
= ( esk51_4 @ X811 @ X812 @ X813 @ X814 ) )
| ( ( dsetconstr @ X811 @ X813 )
= ( dsetconstr @ X812 @ X814 ) )
| ( X811 != X812 ) )
& ( ~ ( X813 @ ( esk50_4 @ X811 @ X812 @ X813 @ X814 ) )
| ~ ( X814 @ ( esk51_4 @ X811 @ X812 @ X813 @ X814 ) )
| ( ( dsetconstr @ X811 @ X813 )
= ( dsetconstr @ X812 @ X814 ) )
| ( X811 != X812 ) )
& ( ( X813 @ ( esk50_4 @ X811 @ X812 @ X813 @ X814 ) )
| ( X814 @ ( esk51_4 @ X811 @ X812 @ X813 @ X814 ) )
| ( ( dsetconstr @ X811 @ X813 )
= ( dsetconstr @ X812 @ X814 ) )
| ( X811 != X812 ) )
& ( ( in @ ( esk52_2 @ X817 @ X818 ) @ X817 )
| ( subset @ X817 @ X818 ) )
& ( ~ ( in @ ( esk52_2 @ X817 @ X818 ) @ X818 )
| ( subset @ X817 @ X818 ) )
& ( ( X820 != X821 )
| ( subset @ X821 @ X820 ) )
& ( ( X822 != X823 )
| ( subset @ X822 @ X823 ) )
& ( ( in @ ( esk53_2 @ X824 @ X825 ) @ X824 )
| ( subset @ X824 @ X825 ) )
& ( ~ ( in @ ( esk53_2 @ X824 @ X825 ) @ X825 )
| ( subset @ X824 @ X825 ) )
& ( subset @ emptyset @ X827 )
& ( ~ ( subset @ X828 @ X829 )
| ~ ( in @ X830 @ X828 )
| ( in @ X830 @ X829 ) )
& ( ~ ( subset @ X831 @ X832 )
| ( in @ X833 @ X832 )
| ~ ( in @ X833 @ X831 ) )
& ( ~ ( in @ X836 @ X834 )
| ( in @ X836 @ X835 )
| ~ ( subset @ X834 @ X835 ) )
& ( ( subset @ X837 @ X838 )
| ( X837 != X838 ) )
& ( ~ ( in @ X841 @ X839 )
| ( in @ X841 @ X840 )
| ( X839 != X840 ) )
& ( subset @ X842 @ X842 )
& ( ~ ( subset @ X843 @ X844 )
| ~ ( subset @ X844 @ X845 )
| ( subset @ X843 @ X845 ) )
& ( subset @ X847 @ ( setadjoin @ X846 @ X847 ) )
& ( ~ ( subset @ X848 @ X850 )
| ( subset @ X848 @ ( setadjoin @ X849 @ X850 ) ) )
& ( ~ ( subset @ X851 @ X852 )
| ( in @ X851 @ ( powerset @ X852 ) ) )
& ( ~ ( subset @ X853 @ X854 )
| ~ ( subset @ X854 @ X853 )
| ( X853 = X854 ) )
& ( ~ ( subset @ X855 @ emptyset )
| ( X855 = emptyset ) )
& ( ~ ( subset @ X857 @ X856 )
| ( in @ X857 @ ( powerset @ X856 ) ) )
& ( in @ esk55_0 @ ( powerset @ esk54_0 ) )
& ~ ( subset @ esk55_0 @ esk54_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_135])])])])])])]) ).
thf(c_0_137,negated_conjecture,
! [X4: $i,X3: $i,X2: $i] :
( ( in @ X4 @ X3 )
| ~ ( in @ X2 @ ( powerset @ X3 ) )
| ~ ( in @ X4 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
thf(c_0_138,negated_conjecture,
in @ esk55_0 @ ( powerset @ esk54_0 ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
thf(c_0_139,negated_conjecture,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( esk53_2 @ X2 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
thf(c_0_140,negated_conjecture,
! [X2: $i] :
( ( in @ X2 @ esk54_0 )
| ~ ( in @ X2 @ esk55_0 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
thf(c_0_141,negated_conjecture,
! [X2: $i] :
( ( subset @ X2 @ esk54_0 )
| ~ ( in @ ( esk53_2 @ X2 @ esk54_0 ) @ esk55_0 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
thf(c_0_142,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ ( esk53_2 @ X2 @ X3 ) @ X2 )
| ( subset @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
thf(c_0_143,negated_conjecture,
~ ( subset @ esk55_0 @ esk54_0 ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
thf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU577^1 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 18:16:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.48 Running higher-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.55 # Version: 3.1.0-ho
% 0.65/0.55 # Preprocessing class: HSMMSLSSLLLCHFA.
% 0.65/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.55 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.65/0.55 # Starting ehoh_best3_rw with 300s (1) cores
% 0.65/0.55 # Starting almost_fo_3 with 300s (1) cores
% 0.65/0.55 # Starting new_ho_13 with 300s (1) cores
% 0.65/0.55 # ehoh_best3_avoidappvar with pid 16297 completed with status 0
% 0.65/0.55 # Result found by ehoh_best3_avoidappvar
% 0.65/0.55 # Preprocessing class: HSMMSLSSLLLCHFA.
% 0.65/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.55 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.65/0.55 # No SInE strategy applied
% 0.65/0.55 # Search class: HGHSM-FSLM31-SHFMMSBN
% 0.65/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.55 # Starting ehoh_best3 with 811s (1) cores
% 0.65/0.55 # Starting ehoh_best3_avoidappvar with 151s (1) cores
% 0.65/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.65/0.55 # Starting new_bool_6 with 136s (1) cores
% 0.65/0.55 # Starting ehoh_best5 with 136s (1) cores
% 0.65/0.55 # ehoh_best3_avoidappvar with pid 16302 completed with status 0
% 0.65/0.55 # Result found by ehoh_best3_avoidappvar
% 0.65/0.55 # Preprocessing class: HSMMSLSSLLLCHFA.
% 0.65/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.55 # Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.65/0.55 # No SInE strategy applied
% 0.65/0.55 # Search class: HGHSM-FSLM31-SHFMMSBN
% 0.65/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.55 # Starting ehoh_best3 with 811s (1) cores
% 0.65/0.55 # Starting ehoh_best3_avoidappvar with 151s (1) cores
% 0.65/0.55 # Preprocessing time : 0.005 s
% 0.65/0.55 # Presaturation interreduction done
% 0.65/0.55
% 0.65/0.55 # Proof found!
% 0.65/0.55 # SZS status Theorem
% 0.65/0.55 # SZS output start CNFRefutation
% See solution above
% 0.65/0.56 # Parsed axioms : 204
% 0.65/0.56 # Removed by relevancy pruning/SinE : 0
% 0.65/0.56 # Initial clauses : 313
% 0.65/0.56 # Removed in clause preprocessing : 122
% 0.65/0.56 # Initial clauses in saturation : 191
% 0.65/0.56 # Processed clauses : 323
% 0.65/0.56 # ...of these trivial : 7
% 0.65/0.56 # ...subsumed : 47
% 0.65/0.56 # ...remaining for further processing : 269
% 0.65/0.56 # Other redundant clauses eliminated : 13
% 0.65/0.56 # Clauses deleted for lack of memory : 0
% 0.65/0.56 # Backward-subsumed : 0
% 0.65/0.56 # Backward-rewritten : 5
% 0.65/0.56 # Generated clauses : 402
% 0.65/0.56 # ...of the previous two non-redundant : 360
% 0.65/0.56 # ...aggressively subsumed : 0
% 0.65/0.56 # Contextual simplify-reflections : 0
% 0.65/0.56 # Paramodulations : 378
% 0.65/0.56 # Factorizations : 2
% 0.65/0.56 # NegExts : 0
% 0.65/0.56 # Equation resolutions : 13
% 0.65/0.56 # Disequality decompositions : 0
% 0.65/0.56 # Total rewrite steps : 59
% 0.65/0.56 # ...of those cached : 36
% 0.65/0.56 # Propositional unsat checks : 0
% 0.65/0.56 # Propositional check models : 0
% 0.65/0.56 # Propositional check unsatisfiable : 0
% 0.65/0.56 # Propositional clauses : 0
% 0.65/0.56 # Propositional clauses after purity: 0
% 0.65/0.56 # Propositional unsat core size : 0
% 0.65/0.56 # Propositional preprocessing time : 0.000
% 0.65/0.56 # Propositional encoding time : 0.000
% 0.65/0.56 # Propositional solver time : 0.000
% 0.65/0.56 # Success case prop preproc time : 0.000
% 0.65/0.56 # Success case prop encoding time : 0.000
% 0.65/0.56 # Success case prop solver time : 0.000
% 0.65/0.56 # Current number of processed clauses : 85
% 0.65/0.56 # Positive orientable unit clauses : 20
% 0.65/0.56 # Positive unorientable unit clauses: 0
% 0.65/0.56 # Negative unit clauses : 2
% 0.65/0.56 # Non-unit-clauses : 63
% 0.65/0.56 # Current number of unprocessed clauses: 379
% 0.65/0.56 # ...number of literals in the above : 1165
% 0.65/0.56 # Current number of archived formulas : 0
% 0.65/0.56 # Current number of archived clauses : 171
% 0.65/0.56 # Clause-clause subsumption calls (NU) : 4840
% 0.65/0.56 # Rec. Clause-clause subsumption calls : 1681
% 0.65/0.56 # Non-unit clause-clause subsumptions : 33
% 0.65/0.56 # Unit Clause-clause subsumption calls : 38
% 0.65/0.56 # Rewrite failures with RHS unbound : 0
% 0.65/0.56 # BW rewrite match attempts : 15
% 0.65/0.56 # BW rewrite match successes : 4
% 0.65/0.56 # Condensation attempts : 0
% 0.65/0.56 # Condensation successes : 0
% 0.65/0.56 # Termbank termtop insertions : 46889
% 0.65/0.56 # Search garbage collected termcells : 10289
% 0.65/0.56
% 0.65/0.56 # -------------------------------------------------
% 0.65/0.56 # User time : 0.046 s
% 0.65/0.56 # System time : 0.013 s
% 0.65/0.56 # Total time : 0.059 s
% 0.65/0.56 # Maximum resident set size: 4548 pages
% 0.65/0.56
% 0.65/0.56 # -------------------------------------------------
% 0.65/0.56 # User time : 0.186 s
% 0.65/0.56 # System time : 0.025 s
% 0.65/0.56 # Total time : 0.211 s
% 0.65/0.56 # Maximum resident set size: 2060 pages
% 0.65/0.56 % E---3.1 exiting
% 0.65/0.56 % E exiting
%------------------------------------------------------------------------------