%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:24 AM UTC 2026
% Result : Theorem 1.39s 0.51s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 73 ( 25 unt; 0 typ; 8 def)
% Number of atoms : 3186 ( 836 equ; 0 cnn)
% Maximal formula atoms : 150 ( 43 avg)
% Number of connectives : 1965 ( 85 ~; 74 |; 599 &; 602 @)
% ( 12 <=>; 593 =>; 0 <=; 0 <~>)
% Maximal formula depth : 160 ( 20 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 302 ( 299 usr; 174 con; 0-4 aty)
% Number of variables : 100 ( 0 sgn 76 !; 24 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_170,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_171,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_172,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_173,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_174,type,
vAND: $o > $o > $o ).
thf(func_def_175,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_176,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_177,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_178,type,
vNOT: $o > $o ).
thf(func_def_179,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_180,type,
vIMP: $o > $o > $o ).
thf(func_def_181,type,
sP0: $i > $i > $o ).
thf(func_def_182,type,
sP1: $i > $o ).
thf(func_def_183,type,
sP2: $o ).
thf(func_def_187,type,
sK6: $i > $i > $i ).
thf(func_def_188,type,
sK7: $i > $i > $i ).
thf(func_def_195,type,
sK14: $i > $i > $i ).
thf(func_def_200,type,
sK19: $i > $i ).
thf(func_def_201,type,
sK20: $i > $i ).
thf(func_def_202,type,
sK21: $i > $i ).
thf(func_def_203,type,
sK22: $i > $i ).
thf(func_def_204,type,
sK23: $i > $i ).
thf(func_def_205,type,
sK24: $i > $i > $i > $i ).
thf(func_def_206,type,
sK25: $i > $i ).
thf(func_def_207,type,
sK26: $i > $i ).
thf(func_def_208,type,
sK27: $i > $i ).
thf(func_def_209,type,
sK28: $i > $i ).
thf(func_def_210,type,
sK29: $i > $i > $i ).
thf(func_def_211,type,
sK30: $i > $i > $i > $i ).
thf(func_def_212,type,
sK31: $i > $i > $i > $i ).
thf(func_def_213,type,
sK32: $i > $i > $i > $i ).
thf(func_def_214,type,
sK33: $i > $i > $i ).
thf(func_def_215,type,
sK34: $i > $i > $i ).
thf(func_def_216,type,
sK35: $i > $i > $i ).
thf(func_def_217,type,
sK36: $i > $i > $i ).
thf(func_def_220,type,
sK39: $i > $o ).
thf(func_def_221,type,
sK40: $i > $o ).
thf(func_def_224,type,
sK43: $i > ( $i > $o ) > $i ).
thf(func_def_226,type,
sK45: $i > $i ).
thf(func_def_229,type,
sK48: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_230,type,
sK49: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_231,type,
sK50: $i > $o ).
thf(func_def_232,type,
sK51: $i > $o ).
thf(func_def_233,type,
sK52: $i > $o ).
thf(func_def_236,type,
sK55: $i > $i ).
thf(func_def_242,type,
sK61: $o ).
thf(func_def_243,type,
sK62: $o > $i > $i > $i ).
thf(func_def_245,type,
sK64: $i > $o ).
thf(func_def_247,type,
sK66: ( $i > $o ) > $i > $i ).
thf(func_def_253,type,
sK72: $i > $i > $i ).
thf(func_def_266,type,
sK85: $i > ( $i > $o ) > $i ).
thf(func_def_267,type,
sK86: $i > $o ).
thf(func_def_275,type,
sK94: $o ).
thf(func_def_291,type,
sK110: $i > $i > $i ).
thf(func_def_294,type,
sK113: $i > $o ).
thf(func_def_295,type,
sK114: ( $i > $o ) > $i ).
thf(func_def_298,type,
sK117: $i > $i > $i ).
thf(func_def_299,type,
sK118: $i > $o ).
thf(func_def_314,type,
sK133: $o ).
thf(func_def_315,type,
sK134: $i > ( $i > $o ) > $i ).
thf(func_def_316,type,
sK135: $i > $o ).
thf(func_def_331,type,
sK150: $i > $i ).
thf(func_def_333,type,
sK152: $i > $i ).
thf(func_def_338,type,
sK157: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_339,type,
sK158: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_340,type,
sK159: $i > $o ).
thf(func_def_341,type,
sK160: $i > $o ).
thf(func_def_342,type,
sK161: $i > $i ).
thf(func_def_344,type,
sK163: $i > ( $i > $o ) > $i ).
thf(func_def_345,type,
sK164: $i > $o ).
thf(func_def_356,type,
sK175: $o ).
thf(func_def_368,type,
sK187: $i > $i > $i ).
thf(func_def_379,type,
sK198: $i > $i ).
thf(func_def_385,type,
sK204: $i > $o ).
thf(func_def_390,type,
sK209: $i > ( $i > $o ) > $i ).
thf(func_def_391,type,
sK210: $i > $o ).
thf(func_def_403,type,
sK222: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_404,type,
sK223: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_407,type,
sK226: $i > $o ).
thf(func_def_408,type,
sK227: $i > $o ).
thf(func_def_409,type,
sK228: $o ).
thf(func_def_415,type,
sK234: ( $i > $i > $o ) > $i > $i ).
thf(func_def_416,type,
sK235: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_417,type,
sK236: ( $i > $i > $o ) > $i > $i ).
thf(func_def_419,type,
sK238: $i > $i > $o ).
thf(func_def_420,type,
sK239: $i > $i ).
thf(func_def_421,type,
sK240: $i > $i ).
thf(func_def_429,type,
sK248: $i > $o ).
thf(func_def_436,type,
sK255: $o ).
thf(func_def_440,type,
sK259: $i > $i > $i ).
thf(func_def_452,type,
sK271: ( $i > $o ) > $i ).
thf(func_def_453,type,
sK272: $i > $o ).
thf(func_def_454,type,
sK273: $i > $i ).
thf(func_def_461,type,
sK280: $i > $o ).
thf(func_def_470,type,
sK289: $i > $o ).
thf(func_def_476,type,
sK295: $o ).
thf(func_def_480,type,
sK299: $i > $o ).
thf(func_def_486,type,
sK305: $i > $o ).
thf(func_def_488,type,
sK307: $i > ( $i > $o ) > $i ).
thf(func_def_492,type,
sK311: $i > $o ).
thf(func_def_496,type,
sK315: $o ).
thf(func_def_503,type,
sK322: $i > $o ).
thf(func_def_506,type,
sK325: $i > $o ).
thf(func_def_520,type,
sK339: $i > $o ).
thf(func_def_522,type,
sK341: ( $i > $o ) > $i > $i ).
thf(func_def_525,type,
sK344: $i > $i > $i ).
thf(func_def_530,type,
sK349: $i > $i ).
thf(func_def_544,type,
sK363: $i > $o ).
thf(func_def_556,type,
sK375: $i > $o ).
thf(func_def_558,type,
sK377: ( $i > $o ) > $i ).
thf(func_def_559,type,
sK378: ( $i > $o ) > $i ).
thf(func_def_562,type,
sK381: ( $i > $o ) > $i ).
thf(func_def_563,type,
sK382: $i > $o ).
thf(func_def_564,type,
sK383: $i > $i ).
thf(f92,axiom,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( in @ X0 @ ( powerset @ X1 ) ) )
= subset2powerset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2powerset) ).
thf(f149,axiom,
( ubforcartprodlem1
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem1) ).
thf(f150,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
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem2) ).
thf(f151,negated_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
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f150]) ).
thf(f277,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( in @ X0 @ ( powerset @ X1 ) ) )
= subset2powerset ),
inference(rectify,[],[f92]) ).
thf(f278,plain,
( ( subset2powerset = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) ),
inference(fool_elimination,[],[f277]) ).
thf(f317,plain,
( ubforcartprodlem1
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f149]) ).
thf(f318,plain,
( ( ubforcartprodlem1 = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f317]) ).
thf(f381,plain,
~ ( 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
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f151]) ).
thf(f382,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f381]) ).
thf(f498,plain,
( ( ubforcartprodlem1 = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) )
= $true )
| ( ( in @ X3 @ X1 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f318]) ).
thf(f592,plain,
( ? [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ? [X3: $i] :
( ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f382]) ).
thf(f593,plain,
( ( setunionAx = $true )
& ( prop2set2propI = $true )
& ( in__Cong = $true )
& ( setminusEL = $true )
& ( powersetE1 = $true )
& ( subsetI2 = $true )
& ( upairsetIR = $true )
& ( upairsetE = $true )
& ( setadjoinAx = $true )
& ( dsetconstrEL = $true )
& ( setadjoinOr = $true )
& ( notdallE = $true )
& ( uniqinunit = $true )
& ( secondinupair = $true )
& ( symdiffI2 = $true )
& ( powersetE = $true )
& ( notinemptyset = $true )
& ( powersetsubset = $true )
& ( exuE1 = $true )
& ( binunionRsub = $true )
& ( binunionIR = $true )
& ? [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ? [X3: $i] :
( ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) )
& ( kpairiskpair = $true )
& ( disjointsetsI1 = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setadjoin__Cong = $true )
& ( powersetI = $true )
& ( kpairp = $true )
& ( quantDeMorgan1 = $true )
& ( setadjoinE = $true )
& ( symdiffE = $true )
& ( emptysetimpfalse = $true )
& ( binintersectI = $true )
& ( exu__Cong = $true )
& ( omegaIndAx = $true )
& ( setunionI = $true )
& ( quantDeMorgan3 = $true )
& ( subsetRefl = $true )
& ( exuE3e = $true )
& ( binunionE = $true )
& ( eqinunit = $true )
& ( setadjoinSub = $true )
& ( sepSubset = $true )
& ( eqimpsubset1 = $true )
& ( binintersectEL = $true )
& ( emptysetAx = $true )
& ( vacuousDall = $true )
& ( setminusI = $true )
& ( eqimpsubset2 = $true )
& ( omega0Ax = $true )
& ( singletoninpowunion = $true )
& ( setadjoinIL = $true )
& ( setextsub = $true )
& ( emptyI = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan4 = $true )
& ( sepInPowerset = $true )
& ( binunionLsub = $true )
& ( emptyInPowerset = $true )
& ( nonemptyI1 = $true )
& ( emptysetE = $true )
& ( setadjoinSub2 = $true )
& ( emptyinunitempty = $true )
& ( setunionE = $true )
& ( setadjoinIR = $true )
& ( setminusELneg = $true )
& ( symdiffI1 = $true )
& ( dsetconstrER = $true )
& ( upairsubunion = $true )
& ( quantDeMorgan2 = $true )
& ( upairset2E = $true )
& ( symdiffIneg2 = $true )
& ( singletonsubset = $true )
& ( exuI1 = $true )
& ( subsetE2 = $true )
& ( upairinpowunion = $true )
& ( binintersectSubset3 = $true )
& ( dsetconstrI = $true )
& ( powersetAx = $true )
& ( emptysetsubset = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( setext = $true )
& ( setminusSubset1 = $true )
& ( notdexE = $true )
& ( subsetemptysetimpeq = $true )
& ( upairsetIL = $true )
& ( upairset2IR = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetI1 = $true )
& ( bs114d = $true )
& ( setminusER = $true )
& ( binintersectRsub = $true )
& ( binintersectER = $true )
& ( singletoninpowerset = $true )
& ( exuEu = $true )
& ( setminusSubset2 = $true )
& ( prop2setI = $true )
& ( omega__Cong = $true )
& ( emptyE1 = $true )
& ( wellorderingAx = $true )
& ( dsetconstr__Cong = $true )
& ( prop2setE = $true )
& ( binunionIL = $true )
& ( symdiffIneg1 = $true )
& ( binintersectSubset4 = $true )
& ( setminusLsub = $true )
& ( descrp = $true )
& ( omegaSAx = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( setminusERneg = $true )
& ( emptyset__Cong = $true )
& ( setextAx = $true )
& ( notsubsetI = $true )
& ( foundationAx = $true )
& ( nonemptyImpWitness = $true )
& ( setunion__Cong = $true )
& ( subsetI1 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( inCongP = $true )
& ( nonemptyI = $true )
& ( setukpairIL = $true )
& ( exuE2 = $true )
& ( notequalI2 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( binunionEcases = $true )
& ( emptyinPowerset = $true )
& ( subPowSU = $true )
& ( binintersectSubset5 = $true )
& ( subsetTrans = $true )
& ( inPowerset = $true )
& ( binintersectSubset2 = $true )
& ( singletonsswitch = $true )
& ( setminusIRneg = $true )
& ( descr__Cong = $true )
& ( subset2powerset = $true )
& ( setoftrueEq = $true )
& ( subsetE = $true )
& ( binintersectLsub = $true )
& ( exuE3u = $true )
& ( setukpairIR = $true ) ),
inference(flattening,[],[f592]) ).
thf(f611,plain,
( ( subset2powerset = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) ),
inference(ennf_transformation,[],[f278]) ).
thf(f792,plain,
( ( ( ubforcartprodlem1 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) )
= $true )
| ( ( in @ X3 @ X1 )
!= $true ) ) )
| ( ubforcartprodlem1 != $true ) ) ),
inference(nnf_transformation,[],[f498]) ).
thf(f793,plain,
( ( ( ubforcartprodlem1 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( subset @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X2 @ X1 ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( ( in @ X4 @ X6 )
!= $true )
| ! [X7: $i] :
( ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X6 @ X5 ) ) ) )
| ( ( in @ X7 @ X5 )
!= $true ) ) )
| ( ubforcartprodlem1 != $true ) ) ),
inference(rectify,[],[f792]) ).
thf(f794,plain,
( ( ( ubforcartprodlem1 = $true )
| ( ( ( in @ sK153 @ sK155 )
= $true )
& ( $true
!= ( subset @ ( setadjoin @ ( setadjoin @ sK153 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK153 @ ( setadjoin @ sK156 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK155 @ sK154 ) ) ) )
& ( ( in @ sK156 @ sK154 )
= $true ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( ( in @ X4 @ X6 )
!= $true )
| ! [X7: $i] :
( ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X6 @ X5 ) ) ) )
| ( ( in @ X7 @ X5 )
!= $true ) ) )
| ( ubforcartprodlem1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK153,sK154,sK155,sK156]),skolemize(X0,sK153),skolemize(X1,sK154),skolemize(X2,sK155),skolemize(X3,sK156)],[f793]) ).
thf(f896,plain,
( ( setunionAx = $true )
& ( prop2set2propI = $true )
& ( in__Cong = $true )
& ( setminusEL = $true )
& ( powersetE1 = $true )
& ( subsetI2 = $true )
& ( upairsetIR = $true )
& ( upairsetE = $true )
& ( setadjoinAx = $true )
& ( dsetconstrEL = $true )
& ( setadjoinOr = $true )
& ( notdallE = $true )
& ( uniqinunit = $true )
& ( secondinupair = $true )
& ( symdiffI2 = $true )
& ( powersetE = $true )
& ( notinemptyset = $true )
& ( powersetsubset = $true )
& ( exuE1 = $true )
& ( binunionRsub = $true )
& ( binunionIR = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
& ? [X3: $i] :
( ( $true
!= ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X2 ) ) ) ) )
& ( ( in @ X3 @ X2 )
= $true ) ) )
& ( kpairiskpair = $true )
& ( disjointsetsI1 = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setadjoin__Cong = $true )
& ( powersetI = $true )
& ( kpairp = $true )
& ( quantDeMorgan1 = $true )
& ( setadjoinE = $true )
& ( symdiffE = $true )
& ( emptysetimpfalse = $true )
& ( binintersectI = $true )
& ( exu__Cong = $true )
& ( omegaIndAx = $true )
& ( setunionI = $true )
& ( quantDeMorgan3 = $true )
& ( subsetRefl = $true )
& ( exuE3e = $true )
& ( binunionE = $true )
& ( eqinunit = $true )
& ( setadjoinSub = $true )
& ( sepSubset = $true )
& ( eqimpsubset1 = $true )
& ( binintersectEL = $true )
& ( emptysetAx = $true )
& ( vacuousDall = $true )
& ( setminusI = $true )
& ( eqimpsubset2 = $true )
& ( omega0Ax = $true )
& ( singletoninpowunion = $true )
& ( setadjoinIL = $true )
& ( setextsub = $true )
& ( emptyI = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan4 = $true )
& ( sepInPowerset = $true )
& ( binunionLsub = $true )
& ( emptyInPowerset = $true )
& ( nonemptyI1 = $true )
& ( emptysetE = $true )
& ( setadjoinSub2 = $true )
& ( emptyinunitempty = $true )
& ( setunionE = $true )
& ( setadjoinIR = $true )
& ( setminusELneg = $true )
& ( symdiffI1 = $true )
& ( dsetconstrER = $true )
& ( upairsubunion = $true )
& ( quantDeMorgan2 = $true )
& ( upairset2E = $true )
& ( symdiffIneg2 = $true )
& ( singletonsubset = $true )
& ( exuI1 = $true )
& ( subsetE2 = $true )
& ( upairinpowunion = $true )
& ( binintersectSubset3 = $true )
& ( dsetconstrI = $true )
& ( powersetAx = $true )
& ( emptysetsubset = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( setext = $true )
& ( setminusSubset1 = $true )
& ( notdexE = $true )
& ( subsetemptysetimpeq = $true )
& ( upairsetIL = $true )
& ( upairset2IR = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetI1 = $true )
& ( bs114d = $true )
& ( setminusER = $true )
& ( binintersectRsub = $true )
& ( binintersectER = $true )
& ( singletoninpowerset = $true )
& ( exuEu = $true )
& ( setminusSubset2 = $true )
& ( prop2setI = $true )
& ( omega__Cong = $true )
& ( emptyE1 = $true )
& ( wellorderingAx = $true )
& ( dsetconstr__Cong = $true )
& ( prop2setE = $true )
& ( binunionIL = $true )
& ( symdiffIneg1 = $true )
& ( binintersectSubset4 = $true )
& ( setminusLsub = $true )
& ( descrp = $true )
& ( omegaSAx = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( setminusERneg = $true )
& ( emptyset__Cong = $true )
& ( setextAx = $true )
& ( notsubsetI = $true )
& ( foundationAx = $true )
& ( nonemptyImpWitness = $true )
& ( setunion__Cong = $true )
& ( subsetI1 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( inCongP = $true )
& ( nonemptyI = $true )
& ( setukpairIL = $true )
& ( exuE2 = $true )
& ( notequalI2 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( binunionEcases = $true )
& ( emptyinPowerset = $true )
& ( subPowSU = $true )
& ( binintersectSubset5 = $true )
& ( subsetTrans = $true )
& ( inPowerset = $true )
& ( binintersectSubset2 = $true )
& ( singletonsswitch = $true )
& ( setminusIRneg = $true )
& ( descr__Cong = $true )
& ( subset2powerset = $true )
& ( setoftrueEq = $true )
& ( subsetE = $true )
& ( binintersectLsub = $true )
& ( exuE3u = $true )
& ( setukpairIR = $true ) ),
inference(rectify,[],[f593]) ).
thf(f897,plain,
( ( setunionAx = $true )
& ( prop2set2propI = $true )
& ( in__Cong = $true )
& ( setminusEL = $true )
& ( powersetE1 = $true )
& ( subsetI2 = $true )
& ( upairsetIR = $true )
& ( upairsetE = $true )
& ( setadjoinAx = $true )
& ( dsetconstrEL = $true )
& ( setadjoinOr = $true )
& ( notdallE = $true )
& ( uniqinunit = $true )
& ( secondinupair = $true )
& ( symdiffI2 = $true )
& ( powersetE = $true )
& ( notinemptyset = $true )
& ( powersetsubset = $true )
& ( exuE1 = $true )
& ( binunionRsub = $true )
& ( binunionIR = $true )
& ( ( in @ sK251 @ sK250 )
= $true )
& ( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) ) ) )
& ( ( in @ sK253 @ sK252 )
= $true )
& ( kpairiskpair = $true )
& ( disjointsetsI1 = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setadjoin__Cong = $true )
& ( powersetI = $true )
& ( kpairp = $true )
& ( quantDeMorgan1 = $true )
& ( setadjoinE = $true )
& ( symdiffE = $true )
& ( emptysetimpfalse = $true )
& ( binintersectI = $true )
& ( exu__Cong = $true )
& ( omegaIndAx = $true )
& ( setunionI = $true )
& ( quantDeMorgan3 = $true )
& ( subsetRefl = $true )
& ( exuE3e = $true )
& ( binunionE = $true )
& ( eqinunit = $true )
& ( setadjoinSub = $true )
& ( sepSubset = $true )
& ( eqimpsubset1 = $true )
& ( binintersectEL = $true )
& ( emptysetAx = $true )
& ( vacuousDall = $true )
& ( setminusI = $true )
& ( eqimpsubset2 = $true )
& ( omega0Ax = $true )
& ( singletoninpowunion = $true )
& ( setadjoinIL = $true )
& ( setextsub = $true )
& ( emptyI = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan4 = $true )
& ( sepInPowerset = $true )
& ( binunionLsub = $true )
& ( emptyInPowerset = $true )
& ( nonemptyI1 = $true )
& ( emptysetE = $true )
& ( setadjoinSub2 = $true )
& ( emptyinunitempty = $true )
& ( setunionE = $true )
& ( setadjoinIR = $true )
& ( setminusELneg = $true )
& ( symdiffI1 = $true )
& ( dsetconstrER = $true )
& ( upairsubunion = $true )
& ( quantDeMorgan2 = $true )
& ( upairset2E = $true )
& ( symdiffIneg2 = $true )
& ( singletonsubset = $true )
& ( exuI1 = $true )
& ( subsetE2 = $true )
& ( upairinpowunion = $true )
& ( binintersectSubset3 = $true )
& ( dsetconstrI = $true )
& ( powersetAx = $true )
& ( emptysetsubset = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( setext = $true )
& ( setminusSubset1 = $true )
& ( notdexE = $true )
& ( subsetemptysetimpeq = $true )
& ( upairsetIL = $true )
& ( upairset2IR = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetI1 = $true )
& ( bs114d = $true )
& ( setminusER = $true )
& ( binintersectRsub = $true )
& ( binintersectER = $true )
& ( singletoninpowerset = $true )
& ( exuEu = $true )
& ( setminusSubset2 = $true )
& ( prop2setI = $true )
& ( omega__Cong = $true )
& ( emptyE1 = $true )
& ( wellorderingAx = $true )
& ( dsetconstr__Cong = $true )
& ( prop2setE = $true )
& ( binunionIL = $true )
& ( symdiffIneg1 = $true )
& ( binintersectSubset4 = $true )
& ( setminusLsub = $true )
& ( descrp = $true )
& ( omegaSAx = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( setminusERneg = $true )
& ( emptyset__Cong = $true )
& ( setextAx = $true )
& ( notsubsetI = $true )
& ( foundationAx = $true )
& ( nonemptyImpWitness = $true )
& ( setunion__Cong = $true )
& ( subsetI1 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( inCongP = $true )
& ( nonemptyI = $true )
& ( setukpairIL = $true )
& ( exuE2 = $true )
& ( notequalI2 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( binunionEcases = $true )
& ( emptyinPowerset = $true )
& ( subPowSU = $true )
& ( binintersectSubset5 = $true )
& ( subsetTrans = $true )
& ( inPowerset = $true )
& ( binintersectSubset2 = $true )
& ( singletonsswitch = $true )
& ( setminusIRneg = $true )
& ( descr__Cong = $true )
& ( subset2powerset = $true )
& ( setoftrueEq = $true )
& ( subsetE = $true )
& ( binintersectLsub = $true )
& ( exuE3u = $true )
& ( setukpairIR = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250,sK251,sK252,sK253]),skolemize(X0,sK250),skolemize(X1,sK251),skolemize(X2,sK252),skolemize(X3,sK253)],[f896]) ).
thf(f1000,plain,
( ( ( subset2powerset = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
| ( subset2powerset != $true ) ) ),
inference(nnf_transformation,[],[f611]) ).
thf(f1001,plain,
( ( ( subset2powerset = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
| ( ( in @ X2 @ ( powerset @ X3 ) )
= $true ) )
| ( subset2powerset != $true ) ) ),
inference(rectify,[],[f1000]) ).
thf(f1002,plain,
( ( ( subset2powerset = $true )
| ( ( ( subset @ sK342 @ sK343 )
= $true )
& ( ( in @ sK342 @ ( powerset @ sK343 ) )
!= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
| ( ( in @ X2 @ ( powerset @ X3 ) )
= $true ) )
| ( subset2powerset != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK342,sK343]),skolemize(X0,sK342),skolemize(X1,sK343)],[f1001]) ).
thf(f1299,plain,
! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X6 )
!= $true )
| ( ubforcartprodlem1 != $true )
| ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X6 @ X5 ) ) ) )
| ( ( in @ X7 @ X5 )
!= $true ) ),
inference(cnf_transformation,[],[f794]) ).
thf(f1438,plain,
subset2powerset = $true,
inference(cnf_transformation,[],[f897]) ).
thf(f1488,plain,
ubforcartprodlem1 = $true,
inference(cnf_transformation,[],[f897]) ).
thf(f1556,plain,
( ( in @ sK253 @ sK252 )
= $true ),
inference(cnf_transformation,[],[f897]) ).
thf(f1557,plain,
( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) ) ) ),
inference(cnf_transformation,[],[f897]) ).
thf(f1558,plain,
( ( in @ sK251 @ sK250 )
= $true ),
inference(cnf_transformation,[],[f897]) ).
thf(f1701,plain,
! [X2: $i,X3: $i] :
( ( ( in @ X2 @ ( powerset @ X3 ) )
= $true )
| ( subset2powerset != $true )
| ( ( subset @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f1002]) ).
thf(f2007,definition,
( spl396_19
<=> ( ( in @ sK253 @ sK252 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl396_19])],[avatar_definition]) ).
thf(f2009,plain,
( ( ( in @ sK253 @ sK252 )
= $true )
| ~ spl396_19 ),
inference(avatar_component_clause,[],[f2007]) ).
thf(f2010,plain,
spl396_19,
inference(avatar_split_clause,[],[f1556,f2007]) ).
thf(f2229,definition,
( spl396_69
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl396_69])],[avatar_definition]) ).
thf(f2230,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ~ spl396_69 ),
inference(avatar_component_clause,[],[f2229]) ).
thf(f2424,definition,
( spl396_113
<=> ( $true
= ( in @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl396_113])],[avatar_definition]) ).
thf(f2426,plain,
( ( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) ) ) )
| spl396_113 ),
inference(avatar_component_clause,[],[f2424]) ).
thf(f2427,plain,
~ spl396_113,
inference(avatar_split_clause,[],[f1557,f2424]) ).
thf(f2480,definition,
( spl396_125
<=> ( ubforcartprodlem1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl396_125])],[avatar_definition]) ).
thf(f3765,definition,
( spl396_403
<=> ( subset2powerset = $true ) ),
introduced(definition,[new_symbols(definition,[spl396_403])],[avatar_definition]) ).
thf(f3884,definition,
( spl396_428
<=> ! [X5: $i,X4: $i,X7: $i,X6: $i] :
( ( ( in @ X4 @ X6 )
!= $true )
| ( ( in @ X7 @ X5 )
!= $true )
| ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X6 @ X5 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl396_428])],[avatar_definition]) ).
thf(f3885,plain,
( ! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X6 @ X5 ) ) ) )
| ( ( in @ X4 @ X6 )
!= $true )
| ( ( in @ X7 @ X5 )
!= $true ) )
| ~ spl396_428 ),
inference(avatar_component_clause,[],[f3884]) ).
thf(f3886,plain,
( ~ spl396_125
| spl396_428 ),
inference(avatar_split_clause,[],[f1299,f3884,f2480]) ).
thf(f3905,definition,
( spl396_433
<=> ( ( in @ sK251 @ sK250 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl396_433])],[avatar_definition]) ).
thf(f3907,plain,
( ( ( in @ sK251 @ sK250 )
= $true )
| ~ spl396_433 ),
inference(avatar_component_clause,[],[f3905]) ).
thf(f3908,plain,
spl396_433,
inference(avatar_split_clause,[],[f1558,f3905]) ).
thf(f4046,plain,
( ~ spl396_403
| spl396_69 ),
inference(avatar_split_clause,[],[f1701,f2229,f3765]) ).
thf(f4709,plain,
spl396_403,
inference(avatar_split_clause,[],[f1438,f3765]) ).
thf(f4827,plain,
spl396_125,
inference(avatar_split_clause,[],[f1488,f2480]) ).
thf(f5444,plain,
( ( ( subset @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) )
!= $true )
| ( $true != $true )
| ~ spl396_69
| spl396_113 ),
inference(superposition,[],[f2426,f2230]) ).
thf(f5450,plain,
( ( ( subset @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) )
!= $true )
| ~ spl396_69
| spl396_113 ),
inference(trivial_inequality_removal,[],[f5444]) ).
thf(f5453,definition,
( spl396_674
<=> ( ( subset @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl396_674])],[avatar_definition]) ).
thf(f5455,plain,
( ( ( subset @ ( setadjoin @ ( setadjoin @ sK251 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK251 @ ( setadjoin @ sK253 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK250 @ sK252 ) ) )
!= $true )
| spl396_674 ),
inference(avatar_component_clause,[],[f5453]) ).
thf(f5456,plain,
( ~ spl396_674
| ~ spl396_69
| spl396_113 ),
inference(avatar_split_clause,[],[f5450,f2424,f2229,f5453]) ).
thf(f7215,plain,
( ( ( in @ sK253 @ sK252 )
!= $true )
| ( $true != $true )
| ( ( in @ sK251 @ sK250 )
!= $true )
| ~ spl396_428
| spl396_674 ),
inference(superposition,[],[f5455,f3885]) ).
thf(f7218,plain,
( ( ( in @ sK251 @ sK250 )
!= $true )
| ( ( in @ sK253 @ sK252 )
!= $true )
| ~ spl396_428
| spl396_674 ),
inference(trivial_inequality_removal,[],[f7215]) ).
thf(f7219,plain,
( ( ( in @ sK253 @ sK252 )
!= $true )
| ~ spl396_428
| ~ spl396_433
| spl396_674 ),
inference(forward_subsumption_resolution,[],[f7218,f3907]) ).
thf(f7220,plain,
( $false
| ~ spl396_19
| ~ spl396_428
| ~ spl396_433
| spl396_674 ),
inference(forward_subsumption_resolution,[],[f7219,f2009]) ).
thf(f7221,plain,
( ~ spl396_19
| ~ spl396_428
| ~ spl396_433
| spl396_674 ),
inference(avatar_contradiction_clause,[],[f7220]) ).
cnf(s11,plain,
spl396_19,
inference(sat_conversion,[],[f2010]) ).
cnf(s71,plain,
~ spl396_113,
inference(sat_conversion,[],[f2427]) ).
cnf(s368,plain,
( ~ spl396_125
| spl396_428 ),
inference(sat_conversion,[],[f3886]) ).
cnf(s373,plain,
spl396_433,
inference(sat_conversion,[],[f3908]) ).
cnf(s406,plain,
( spl396_69
| ~ spl396_403 ),
inference(sat_conversion,[],[f4046]) ).
cnf(s590,plain,
spl396_403,
inference(sat_conversion,[],[f4709]) ).
cnf(s624,plain,
spl396_125,
inference(sat_conversion,[],[f4827]) ).
cnf(s703,plain,
( ~ spl396_69
| spl396_113
| ~ spl396_674 ),
inference(sat_conversion,[],[f5456]) ).
cnf(s739,plain,
( ~ spl396_19
| ~ spl396_428
| ~ spl396_433
| spl396_674 ),
inference(sat_conversion,[],[f7221]) ).
cnf(s773,plain,
spl396_69,
inference(rat,[],[s406,s590]) ).
cnf(s783,plain,
spl396_428,
inference(rat,[],[s368,s624]) ).
cnf(s895,plain,
~ spl396_674,
inference(rat,[],[s703,s773,s71]) ).
cnf(s897,plain,
~ spl396_19,
inference(rat,[],[s739,s783,s373,s895]) ).
cnf(s926,plain,
$false,
inference(rat,[],[s11,s897]) ).
thf(f7222,plain,
$false,
inference(avatar_sat_refutation,[],[s926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:01:14 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.38 % (2552116)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.38 % (2552121)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2398115388:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.38 % (2552127)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.38 % (2552127)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.62/0.38 % (2552122)lrs+10_16_si=on:nwc=1.5:random_seed=212038505:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.38 % (2552123)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1495067684:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.38 % (2552127)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1725099232:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.38 % (2552125)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3587888044:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.38 % (2552124)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2685873436:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.62/0.38 % (2552126)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2859153669:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.38 % (2552123)Instruction limit reached!
% 0.62/0.38 % (2552123)------------------------------
% 0.62/0.38 % (2552123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2552123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2552123)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2552123)Termination reason: Instruction limit
% 0.62/0.38 % (2552123)Termination phase: shuffling
% 0.62/0.38 % (2552123)Time elapsed: 0.002 s
% 0.62/0.38 % (2552123)Peak memory usage: 10 MB
% 0.62/0.38 % (2552123)Instructions burned: 4 (million)
% 0.62/0.38 % (2552122)Instruction limit reached!
% 0.62/0.38 % (2552122)------------------------------
% 0.62/0.38 % (2552122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2552122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2552122)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2552122)Termination reason: Instruction limit
% 0.62/0.38 % (2552122)Termination phase: Property scanning
% 0.62/0.38 % (2552122)Time elapsed: 0.008 s
% 0.62/0.38 % (2552122)Peak memory usage: 10 MB
% 0.62/0.38 % (2552122)Instructions burned: 18 (million)
% 0.62/0.38 % (2552125)Instruction limit reached!
% 0.62/0.38 % (2552125)------------------------------
% 0.62/0.38 % (2552125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2552125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2552125)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2552125)Termination reason: Instruction limit
% 0.62/0.38 % (2552125)Termination phase: Preprocessing 3
% 0.62/0.38 % (2552125)Time elapsed: 0.012 s
% 0.62/0.38 % (2552125)Peak memory usage: 11 MB
% 0.62/0.38 % (2552125)Instructions burned: 25 (million)
% 0.62/0.38 % (2552121)Instruction limit reached!
% 0.62/0.38 % (2552121)------------------------------
% 0.62/0.38 % (2552121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2552121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2552121)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2552121)Termination reason: Instruction limit
% 0.62/0.38 % (2552121)Termination phase: Saturation
% 0.62/0.38 % (2552121)Time elapsed: 0.021 s
% 0.62/0.38 % (2552121)Peak memory usage: 13 MB
% 0.62/0.38 % (2552121)Instructions burned: 89 (million)
% 0.62/0.38 % (2552137)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.38 % (2552135)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1625193955:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.41 % (2552137)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1073288029:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.41 % (2552135)Instruction limit reached!
% 0.62/0.41 % (2552135)------------------------------
% 0.62/0.41 % (2552135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2552135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2552135)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2552135)Termination reason: Instruction limit
% 0.62/0.41 % (2552135)Termination phase: shuffling
% 0.62/0.41 % (2552135)Time elapsed: 0.002 s
% 0.62/0.41 % (2552135)Peak memory usage: 10 MB
% 0.62/0.41 % (2552135)Instructions burned: 4 (million)
% 0.62/0.41 % (2552137)Instruction limit reached!
% 0.62/0.41 % (2552137)------------------------------
% 0.62/0.41 % (2552137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2552137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2552137)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2552137)Termination reason: Instruction limit
% 0.62/0.41 % (2552137)Termination phase: Property scanning
% 0.62/0.41 % (2552137)Time elapsed: 0.004 s
% 0.62/0.41 % (2552137)Peak memory usage: 10 MB
% 0.62/0.41 % (2552137)Instructions burned: 19 (million)
% 0.62/0.41 % (2552136)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4185272791:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.41 % (2552138)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1533321588:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.41 % (2552136)Instruction limit reached!
% 0.62/0.41 % (2552136)------------------------------
% 0.62/0.41 % (2552136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2552136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2552136)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2552136)Termination reason: Instruction limit
% 0.62/0.41 % (2552136)Termination phase: shuffling
% 0.62/0.41 % (2552136)Time elapsed: 0.003 s
% 0.62/0.41 % (2552136)Peak memory usage: 9 MB
% 0.62/0.41 % (2552136)Instructions burned: 6 (million)
% 0.62/0.41 % (2552126)Instruction limit reached!
% 0.62/0.41 % (2552126)------------------------------
% 0.62/0.41 % (2552126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2552126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2552126)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2552126)Termination reason: Instruction limit
% 0.62/0.41 % (2552126)Termination phase: Property scanning
% 0.62/0.41 % (2552126)Time elapsed: 0.035 s
% 0.62/0.41 % (2552126)Peak memory usage: 12 MB
% 0.62/0.41 % (2552126)Instructions burned: 76 (million)
% 0.62/0.41 % (2552138)Instruction limit reached!
% 0.62/0.41 % (2552138)------------------------------
% 0.62/0.41 % (2552138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2552142)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=797984911:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.41 % (2552138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2552138)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2552138)Termination reason: Instruction limit
% 0.62/0.41 % (2552138)Termination phase: shuffling
% 0.62/0.41 % (2552138)Time elapsed: 0.006 s
% 0.62/0.41 % (2552138)Peak memory usage: 10 MB
% 0.62/0.41 % (2552138)Instructions burned: 13 (million)
% 0.62/0.41 % (2552141)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.62/0.41 % (2552141)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.41 % (2552141)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=837519649:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.41 % (2552145)lrs+10_1_si=on:cs=on:random_seed=1558896079:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.41 % (2552147)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.44 % (2552145)Instruction limit reached!
% 0.62/0.44 % (2552145)------------------------------
% 0.62/0.44 % (2552145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552145)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552145)Termination reason: Instruction limit
% 0.62/0.44 % (2552145)Termination phase: shuffling
% 0.62/0.44 % (2552145)Time elapsed: 0.005 s
% 0.62/0.44 % (2552145)Peak memory usage: 10 MB
% 0.62/0.44 % (2552145)Instructions burned: 10 (million)
% 0.62/0.44 % (2552148)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1599263706:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.44 % (2552147)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1545461748:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.44 % (2552142)Instruction limit reached!
% 0.62/0.44 % (2552142)------------------------------
% 0.62/0.44 % (2552142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552142)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552142)Termination reason: Instruction limit
% 0.62/0.44 % (2552142)Termination phase: Saturation
% 0.62/0.44 % (2552142)Time elapsed: 0.019 s
% 0.62/0.44 % (2552142)Peak memory usage: 13 MB
% 0.62/0.44 % (2552142)Instructions burned: 86 (million)
% 0.62/0.44 % (2552141)Instruction limit reached!
% 0.62/0.44 % (2552141)------------------------------
% 0.62/0.44 % (2552141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552141)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552141)Termination reason: Instruction limit
% 0.62/0.44 % (2552141)Termination phase: Property scanning
% 0.62/0.44 % (2552141)Time elapsed: 0.014 s
% 0.62/0.44 % (2552141)Peak memory usage: 10 MB
% 0.62/0.44 % (2552141)Instructions burned: 29 (million)
% 0.62/0.44 % (2552147)Instruction limit reached!
% 0.62/0.44 % (2552147)------------------------------
% 0.62/0.44 % (2552147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552147)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552147)Termination reason: Instruction limit
% 0.62/0.44 % (2552147)Termination phase: shuffling
% 0.62/0.44 % (2552147)Time elapsed: 0.001 s
% 0.62/0.44 % (2552147)Peak memory usage: 10 MB
% 0.62/0.44 % (2552147)Instructions burned: 2 (million)
% 0.62/0.44 % (2552154)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1164620350:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.62/0.44 % (2552127)Instruction limit reached!
% 0.62/0.44 % (2552127)------------------------------
% 0.62/0.44 % (2552127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552127)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552127)Termination reason: Instruction limit
% 0.62/0.44 % (2552127)Termination phase: Saturation
% 0.62/0.44 % (2552127)Time elapsed: 0.069 s
% 0.62/0.44 % (2552127)Peak memory usage: 14 MB
% 0.62/0.44 % (2552127)Instructions burned: 157 (million)
% 0.62/0.44 % (2552154)Instruction limit reached!
% 0.62/0.44 % (2552154)------------------------------
% 0.62/0.44 % (2552154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2552154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2552154)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2552154)Termination reason: Instruction limit
% 0.62/0.44 % (2552154)Termination phase: Preprocessing 3
% 0.62/0.44 % (2552151)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3918415701:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.62/0.44 % (2552154)Time elapsed: 0.006 s
% 0.62/0.44 % (2552154)Peak memory usage: 11 MB
% 0.62/0.44 % (2552154)Instructions burned: 25 (million)
% 0.62/0.44 % (2552148)Instruction limit reached!
% 0.62/0.44 % (2552148)------------------------------
% 1.39/0.51 % (2552148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552148)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552148)Termination reason: Instruction limit
% 1.39/0.51 % (2552148)Termination phase: Preprocessing 3
% 1.39/0.51 % (2552148)Time elapsed: 0.018 s
% 1.39/0.51 % (2552148)Peak memory usage: 12 MB
% 1.39/0.51 % (2552148)Instructions burned: 38 (million)
% 1.39/0.51 % (2552155)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2963793491:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.39/0.51 % (2552156)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2047307657:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.39/0.51 % (2552155)Instruction limit reached!
% 1.39/0.51 % (2552155)------------------------------
% 1.39/0.51 % (2552155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552155)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552155)Termination reason: Instruction limit
% 1.39/0.51 % (2552155)Termination phase: shuffling
% 1.39/0.51 % (2552155)Time elapsed: 0.006 s
% 1.39/0.51 % (2552155)Peak memory usage: 10 MB
% 1.39/0.51 % (2552155)Instructions burned: 14 (million)
% 1.39/0.51 % (2552160)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3811850647:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.39/0.51 % (2552160)Instruction limit reached!
% 1.39/0.51 % (2552160)------------------------------
% 1.39/0.51 % (2552160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552160)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552160)Termination reason: Instruction limit
% 1.39/0.51 % (2552160)Termination phase: shuffling
% 1.39/0.51 % (2552160)Time elapsed: 0.001 s
% 1.39/0.51 % (2552160)Peak memory usage: 10 MB
% 1.39/0.51 % (2552160)Instructions burned: 4 (million)
% 1.39/0.51 % (2552158)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2606843438:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 1.39/0.51 % (2552161)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2867713699:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.39/0.51 % (2552158)Instruction limit reached!
% 1.39/0.51 % (2552158)------------------------------
% 1.39/0.51 % (2552158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552158)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552158)Termination reason: Instruction limit
% 1.39/0.51 % (2552158)Termination phase: shuffling
% 1.39/0.51 % (2552158)Time elapsed: 0.007 s
% 1.39/0.51 % (2552158)Peak memory usage: 10 MB
% 1.39/0.51 % (2552158)Instructions burned: 16 (million)
% 1.39/0.51 % (2552166)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1273324279:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.39/0.51 % (2552165)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3814335166:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.51 % (2552161)Instruction limit reached!
% 1.39/0.51 % (2552161)------------------------------
% 1.39/0.51 % (2552161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552161)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552161)Termination reason: Instruction limit
% 1.39/0.51 % (2552161)Termination phase: Property scanning
% 1.39/0.51 % (2552161)Time elapsed: 0.011 s
% 1.39/0.51 % (2552161)Peak memory usage: 10 MB
% 1.39/0.51 % (2552161)Instructions burned: 28 (million)
% 1.39/0.51 % (2552169)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.39/0.51 % (2552169)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.39/0.51 % (2552166)Instruction limit reached!
% 1.39/0.51 % (2552166)------------------------------
% 1.39/0.51 % (2552166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552166)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552166)Termination reason: Instruction limit
% 1.39/0.51 % (2552166)Termination phase: Property scanning
% 1.39/0.51 % (2552166)Time elapsed: 0.015 s
% 1.39/0.51 % (2552166)Peak memory usage: 12 MB
% 1.39/0.51 % (2552166)Instructions burned: 60 (million)
% 1.39/0.51 % (2552169)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2673032040:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.39/0.51 % (2552165)Instruction limit reached!
% 1.39/0.51 % (2552165)------------------------------
% 1.39/0.51 % (2552165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552165)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552165)Termination reason: Instruction limit
% 1.39/0.51 % (2552165)Termination phase: Property scanning
% 1.39/0.51 % (2552165)Time elapsed: 0.011 s
% 1.39/0.51 % (2552165)Peak memory usage: 10 MB
% 1.39/0.51 % (2552165)Instructions burned: 25 (million)
% 1.39/0.51 % (2552169)Instruction limit reached!
% 1.39/0.51 % (2552169)------------------------------
% 1.39/0.51 % (2552169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552169)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552169)Termination reason: Instruction limit
% 1.39/0.51 % (2552169)Termination phase: shuffling
% 1.39/0.51 % (2552169)Time elapsed: 0.006 s
% 1.39/0.51 % (2552169)Peak memory usage: 10 MB
% 1.39/0.51 % (2552169)Instructions burned: 14 (million)
% 1.39/0.51 % (2552173)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=482797911:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.39/0.51 % (2552172)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.39/0.51 % (2552172)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3645653734:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.39/0.51 % (2552173)Instruction limit reached!
% 1.39/0.51 % (2552173)------------------------------
% 1.39/0.51 % (2552173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552173)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552173)Termination reason: Instruction limit
% 1.39/0.51 % (2552173)Termination phase: Naming
% 1.39/0.51 % (2552173)Time elapsed: 0.007 s
% 1.39/0.51 % (2552173)Peak memory usage: 10 MB
% 1.39/0.51 % (2552173)Instructions burned: 32 (million)
% 1.39/0.51 % (2552175)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4219987900:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.39/0.51 % (2552172)Instruction limit reached!
% 1.39/0.51 % (2552172)------------------------------
% 1.39/0.51 % (2552172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552172)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552172)Termination reason: Instruction limit
% 1.39/0.51 % (2552172)Termination phase: Property scanning
% 1.39/0.51 % (2552172)Time elapsed: 0.007 s
% 1.39/0.51 % (2552172)Peak memory usage: 10 MB
% 1.39/0.51 % (2552172)Instructions burned: 16 (million)
% 1.39/0.51 % (2552175)Instruction limit reached!
% 1.39/0.51 % (2552175)------------------------------
% 1.39/0.51 % (2552175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552175)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552175)Termination reason: Instruction limit
% 1.39/0.51 % (2552175)Termination phase: shuffling
% 1.39/0.51 % (2552175)Time elapsed: 0.004 s
% 1.39/0.51 % (2552175)Peak memory usage: 10 MB
% 1.39/0.51 % (2552175)Instructions burned: 7 (million)
% 1.39/0.51 % (2552176)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=12380190:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.51 % (2552179)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3864092134:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.39/0.51 % (2552179)Instruction limit reached!
% 1.39/0.51 % (2552179)------------------------------
% 1.39/0.51 % (2552179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552179)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552179)Termination reason: Instruction limit
% 1.39/0.51 % (2552179)Termination phase: Property scanning
% 1.39/0.51 % (2552179)Time elapsed: 0.005 s
% 1.39/0.51 % (2552179)Peak memory usage: 10 MB
% 1.39/0.51 % (2552179)Instructions burned: 21 (million)
% 1.39/0.51 % (2552176)Instruction limit reached!
% 1.39/0.51 % (2552176)------------------------------
% 1.39/0.51 % (2552176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552176)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552176)Termination reason: Instruction limit
% 1.39/0.51 % (2552176)Termination phase: Property scanning
% 1.39/0.51 % (2552176)Time elapsed: 0.010 s
% 1.39/0.51 % (2552176)Peak memory usage: 10 MB
% 1.39/0.51 % (2552176)Instructions burned: 23 (million)
% 1.39/0.51 % (2552181)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=347410740:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.39/0.51 % (2552185)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1081522152:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.39/0.51 % (2552182)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2695215369:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.39/0.51 % (2552186)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2008926131:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.39/0.51 % (2552186)Instruction limit reached!
% 1.39/0.51 % (2552186)------------------------------
% 1.39/0.51 % (2552186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552186)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552186)Termination reason: Instruction limit
% 1.39/0.51 % (2552186)Termination phase: Property scanning
% 1.39/0.51 % (2552186)Time elapsed: 0.018 s
% 1.39/0.51 % (2552186)Peak memory usage: 11 MB
% 1.39/0.51 % (2552186)Instructions burned: 44 (million)
% 1.39/0.51 % (2552124) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2552116-2552124"...
% 1.39/0.51 % (2552124)...printing done.
% 1.39/0.51 % (2552124)Refutation found. Thanks to Tanya!
% 1.39/0.51 % SZS status Theorem for theBenchmark
% 1.39/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.51 % (2552124)------------------------------
% 1.39/0.51 % (2552124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.51 % (2552124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.51 % (2552124)CaDiCaL version: 2.1.3
% 1.39/0.51 % (2552124)Termination reason: Refutation
% 1.39/0.51 % (2552124)Time elapsed: 0.197 s
% 1.39/0.51 % (2552124)Peak memory usage: 18 MB
% 1.39/0.51 % (2552124)Instructions burned: 371 (million)
% 1.39/0.51 % (2552116)Success in time 0.231 s
% 1.39/0.51 % Vampire exiting
%------------------------------------------------------------------------------