%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU671^1 : 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 : n004.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 08:30:39 AM UTC 2026
% Result : Theorem 2.34s 0.70s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 3936 (1099 equ; 0 cnn)
% Maximal formula atoms : 189 ( 72 avg)
% Number of connectives : 2301 ( 83 ~; 73 |; 776 &; 595 @)
% ( 7 <=>; 767 =>; 0 <=; 0 <~>)
% Maximal formula depth : 201 ( 34 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 378 ( 375 usr; 216 con; 0-4 aty)
% Number of variables : 291 ( 86 ^; 160 !; 45 ?; 291 :)
% 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_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_223,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_224,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_225,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_226,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_227,type,
vAND: $o > $o > $o ).
thf(func_def_228,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_229,type,
vIMP: $o > $o > $o ).
thf(func_def_230,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_231,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_232,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_233,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_234,type,
vNOT: $o > $o ).
thf(func_def_235,type,
sP0: $o ).
thf(func_def_236,type,
sP1: $o ).
thf(func_def_237,type,
sP2: $i > $o > $i > $i > $o ).
thf(func_def_238,type,
sP3: $o ).
thf(func_def_239,type,
sP4: $i > $i > $o ).
thf(func_def_240,type,
sP5: $i > $o ).
thf(func_def_241,type,
sP6: $i > $i > $o ).
thf(func_def_242,type,
sP7: $i > $i > $o ).
thf(func_def_244,type,
sK9: $i > $o ).
thf(func_def_246,type,
sK11: ( $i > $o ) > $i > $i ).
thf(func_def_247,type,
sK12: ( $i > $o ) > $i > $i ).
thf(func_def_255,type,
sK20: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_256,type,
sK21: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_259,type,
sK24: $i > $o ).
thf(func_def_260,type,
sK25: $i > $o ).
thf(func_def_261,type,
sK26: $i > $o ).
thf(func_def_264,type,
sK29: $i > ( $i > $o ) > $i ).
thf(func_def_266,type,
sK31: $i > $o ).
thf(func_def_280,type,
sK45: $o > $i > $i > $i ).
thf(func_def_283,type,
sK48: $o ).
thf(func_def_288,type,
sK53: $i > $o ).
thf(func_def_290,type,
sK55: $i > ( $i > $o ) > $i > $i ).
thf(func_def_304,type,
sK69: $i > $o ).
thf(func_def_306,type,
sK71: ( $i > $o ) > $i > $i ).
thf(func_def_308,type,
sK73: $i > $o ).
thf(func_def_313,type,
sK78: $i > $i > $i ).
thf(func_def_322,type,
sK87: $i > $i > $i ).
thf(func_def_326,type,
sK91: $i > $i ).
thf(func_def_328,type,
sK93: $i > $i > $o ).
thf(func_def_342,type,
sK107: $i > $o ).
thf(func_def_343,type,
sK108: $i > $i ).
thf(func_def_344,type,
sK109: ( $i > $o ) > $i ).
thf(func_def_351,type,
sK116: ( $i > $o ) > $i ).
thf(func_def_352,type,
sK117: $i > $o ).
thf(func_def_353,type,
sK118: $i > $i ).
thf(func_def_355,type,
sK120: $i > $o ).
thf(func_def_357,type,
sK122: ( $i > $o ) > $i > $i ).
thf(func_def_364,type,
sK129: $i > $o ).
thf(func_def_371,type,
sK136: $i > $i > $i ).
thf(func_def_389,type,
sK154: $i > $o ).
thf(func_def_391,type,
sK156: $i > ( $i > $o ) > $i ).
thf(func_def_399,type,
sK164: $i > $i ).
thf(func_def_400,type,
sK165: $i > $i ).
thf(func_def_404,type,
sK169: $i > $o ).
thf(func_def_409,type,
sK174: $i > $i > $i ).
thf(func_def_426,type,
sK191: $i > $i ).
thf(func_def_449,type,
sK214: $i > $i > $i ).
thf(func_def_452,type,
sK217: $i > $o ).
thf(func_def_454,type,
sK219: ( $i > $o ) > $i ).
thf(func_def_455,type,
sK220: ( $i > $o ) > $i ).
thf(func_def_456,type,
sK221: $i > ( $i > $o ) > $i ).
thf(func_def_457,type,
sK222: $i > $o ).
thf(func_def_459,type,
sK224: $o ).
thf(func_def_469,type,
sK234: $o ).
thf(func_def_472,type,
sK237: $i > $o ).
thf(func_def_481,type,
sK246: $i > $i ).
thf(func_def_487,type,
sK252: $i > $i > $i > $i ).
thf(func_def_488,type,
sK253: $i > $i > $i > $i ).
thf(func_def_489,type,
sK254: $i > $o ).
thf(func_def_492,type,
sK257: $i > $o ).
thf(func_def_496,type,
sK261: $i > $i ).
thf(func_def_498,type,
sK263: $i > $i > $i ).
thf(func_def_512,type,
sK277: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_513,type,
sK278: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_514,type,
sK279: $i > $o ).
thf(func_def_515,type,
sK280: $i > $o ).
thf(func_def_519,type,
sK284: $i > $o ).
thf(func_def_521,type,
sK286: ( $i > $o ) > $i > $i ).
thf(func_def_522,type,
sK287: ( $i > $o ) > $i > $i ).
thf(func_def_528,type,
sK293: $o ).
thf(func_def_538,type,
sK303: $i > $i > $i ).
thf(func_def_539,type,
sK304: $i > $i > $i ).
thf(func_def_546,type,
sK311: $i > ( $i > $o ) > $i ).
thf(func_def_547,type,
sK312: $i > $o ).
thf(func_def_550,type,
sK315: $i > $i > $o ).
thf(func_def_560,type,
sK325: $i > $o ).
thf(func_def_562,type,
sK327: ( $i > $o ) > $i > $i ).
thf(func_def_571,type,
sK336: $o ).
thf(func_def_576,type,
sK341: $i > $i > $o ).
thf(func_def_577,type,
sK342: $i > $o ).
thf(func_def_578,type,
sK343: ( $i > $o ) > $i ).
thf(func_def_584,type,
sK349: $i > $i > $o ).
thf(func_def_595,type,
sK360: $i > $o ).
thf(func_def_598,type,
sK363: $o ).
thf(func_def_601,type,
sK366: $i > $i > $i ).
thf(func_def_605,type,
sK370: $i > $o ).
thf(func_def_611,type,
sK376: $i > $i > $o ).
thf(func_def_622,type,
sK387: $i > $o ).
thf(func_def_639,type,
sK404: $i > $i > $o ).
thf(func_def_641,type,
sK406: $i > $i ).
thf(func_def_642,type,
sK407: $i > $i ).
thf(func_def_643,type,
sK408: $i > ( $i > $i > $o ) > $i ).
thf(func_def_644,type,
sK409: $i > ( $i > $i > $o ) > $i ).
thf(func_def_645,type,
sK410: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_654,type,
sK419: $i > $o ).
thf(func_def_663,type,
sK428: $i > $o ).
thf(func_def_664,type,
sK429: $i > $o ).
thf(func_def_665,type,
sK430: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_666,type,
sK431: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_679,type,
sK444: $i > ( $i > $o ) > $i ).
thf(func_def_680,type,
sK445: $i > $o ).
thf(func_def_685,type,
sK450: $i > $i > $i ).
thf(func_def_686,type,
sK451: $i > $i > $i ).
thf(func_def_687,type,
sK452: $i > $i > $i ).
thf(func_def_688,type,
sK453: $i > $i > $i ).
thf(func_def_689,type,
sK454: $i > $i > $i ).
thf(func_def_690,type,
sK455: $i > $i > $i > $i ).
thf(func_def_691,type,
sK456: $i > $i ).
thf(func_def_692,type,
sK457: $i > $i ).
thf(func_def_693,type,
sK458: $i > $i ).
thf(func_def_694,type,
sK459: $i > $i ).
thf(func_def_695,type,
sK460: $i > $i > $i > $i ).
thf(func_def_696,type,
sK461: $i > $i > $i > $i ).
thf(func_def_697,type,
sK462: $i > $i > $i ).
thf(func_def_698,type,
sK463: $i > $i > $i ).
thf(func_def_699,type,
sK464: $i > $i > $i ).
thf(func_def_700,type,
sK465: $i > $i ).
thf(func_def_702,type,
sK467: $i > $i ).
thf(func_def_703,type,
sK468: $i > $i ).
thf(func_def_711,type,
sK476: $i > $i > $o ).
thf(func_def_726,type,
sK491: $o ).
thf(func_def_727,type,
sK492: $i > ( $i > $o ) > $i ).
thf(func_def_728,type,
sK493: $i > $o ).
thf(func_def_739,type,
sK504: $i > $i > $i ).
thf(func_def_747,type,
sK512: $i > $i ).
thf(func_def_758,type,
sK523: $i > $i > $o ).
thf(func_def_772,type,
sK537: $i > $o ).
thf(func_def_774,type,
sK539: $o ).
thf(f191,axiom,
( dpsetconstrERa
= ( ! [X1: $i,X2: $i > $i > $o,X3: $i,X0: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( X2 @ X3 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrERa) ).
thf(f192,axiom,
( dpsetconstrEL1
= ( ! [X3: $i,X2: $i > $i > $o,X0: $i,X4: $i,X1: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X3 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrEL1) ).
thf(f193,axiom,
( dpsetconstrEL2
= ( ! [X4: $i,X3: $i,X1: $i,X0: $i,X2: $i > $i > $o] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X4 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrEL2) ).
thf(f194,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
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ! [X0: $i,X1: $i,X3: $i,X2: $i > $i > $o,X4: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( X2 @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrER) ).
thf(f195,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
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ! [X0: $i,X1: $i,X3: $i,X2: $i > $i > $o,X4: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( X2 @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f194]) ).
thf(f204,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
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ! [X0: $i,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i] :
( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X3 @ X5 @ X6 ) ) )
=> ( X3 @ X2 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f195]) ).
thf(f205,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 )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ! [X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X0: $i] :
( ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) )
= $true )
=> ( ( X3 @ X2 @ X4 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f204]) ).
thf(f218,plain,
( dpsetconstrERa
= ( ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( in @ X2 @ X3 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [X5: $i,X6: $i] : ( X1 @ X5 @ X6 ) ) )
=> ( X1 @ X2 @ X4 ) ) ) ) ) ),
inference(rectify,[],[f191]) ).
thf(f219,plain,
( ( dpsetconstrERa = $true )
<=> ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( ( in @ X2 @ X3 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
= $true )
=> ( $true
= ( X1 @ X2 @ X4 ) ) ) ) ) ),
inference(fool_elimination,[],[f218]) ).
thf(f262,plain,
( dpsetconstrEL1
= ( ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] :
( ( in @ ( kpair @ X0 @ X3 )
@ ( dpsetconstr @ X2 @ X4
@ ^ [X5: $i,X6: $i] : ( X1 @ X5 @ X6 ) ) )
=> ( in @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f192]) ).
thf(f263,plain,
( ( dpsetconstrEL1 = $true )
<=> ! [X0: $i,X3: $i,X2: $i,X1: $i > $i > $o,X4: $i] :
( ( $true
= ( in @ ( kpair @ X0 @ X3 )
@ ( dpsetconstr @ X2 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
=> ( ( in @ X0 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f262]) ).
thf(f292,plain,
( dpsetconstrEL2
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ( in @ ( kpair @ X1 @ X0 )
@ ( dpsetconstr @ X3 @ X2
@ ^ [X5: $i,X6: $i] : ( X4 @ X5 @ X6 ) ) )
=> ( in @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f193]) ).
thf(f293,plain,
( ( dpsetconstrEL2 = $true )
<=> ! [X1: $i,X2: $i,X0: $i,X4: $i > $i > $o,X3: $i] :
( ( ( in @ ( kpair @ X1 @ X0 )
@ ( dpsetconstr @ X3 @ X2
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
= $true )
=> ( ( in @ X0 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f292]) ).
thf(f635,plain,
( ( dpsetconstrERa = $true )
<=> ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] :
( ! [X4: $i] :
( ( $true
= ( X1 @ X2 @ X4 ) )
| ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) )
| ( ( in @ X2 @ X3 )
!= $true ) ) ),
inference(ennf_transformation,[],[f219]) ).
thf(f636,plain,
( ( dpsetconstrERa = $true )
<=> ! [X3: $i,X0: $i,X2: $i,X1: $i > $i > $o] :
( ! [X4: $i] :
( ( $true
= ( X1 @ X2 @ X4 ) )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
!= $true ) )
| ( ( in @ X2 @ X3 )
!= $true ) ) ),
inference(flattening,[],[f635]) ).
thf(f695,plain,
( ! [X0: $i,X4: $i > $i > $o,X1: $i,X3: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
| ( ( in @ ( kpair @ X1 @ X0 )
@ ( dpsetconstr @ X3 @ X2
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
!= $true ) )
<=> ( dpsetconstrEL2 = $true ) ),
inference(ennf_transformation,[],[f293]) ).
thf(f701,plain,
( ? [X0: $i,X1: $i,X2: $i,X4: $i,X3: $i > $i > $o] :
( ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) )
= $true )
& ( ( X3 @ X2 @ X4 )
!= $true ) )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $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,[],[f205]) ).
thf(f702,plain,
( ( exuI3 = $true )
& ( exuE2 = $true )
& ( exuE3u = $true )
& ( notdallE = $true )
& ( setunionsingleton2 = $true )
& ( notsubsetI = $true )
& ( exuI1 = $true )
& ( cartprodfstin = $true )
& ( subPowSU = $true )
& ( kpairiskpair = $true )
& ( setukpairinjL1 = $true )
& ( ubforcartprodlem2 = $true )
& ( omega0Ax = $true )
& ( symdiffI1 = $true )
& ( exu__Cong = $true )
& ( kfstsingleton = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( omega__Cong = $true )
& ( setukpairIR = $true )
& ( disjointsetsI1 = $true )
& ( singletoninpowunion = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( foundationAx = $true )
& ( powersetE1 = $true )
& ( setadjoinE = $true )
& ( ex1E1 = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( singletonsubset = $true )
& ( sepSubset = $true )
& ( setadjoinIR = $true )
& ( ubforcartprodlem1 = $true )
& ( replAx = $true )
& ( vacuousDall = $true )
& ( ksndpairEq = $true )
& ( binunionIR = $true )
& ( dpsetconstrI = $true )
& ( dsetconstrER = $true )
& ( setukpairinjR12 = $true )
& ( binunionE = $true )
& ( noeltsimpempty = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempair1 = $true )
& ( setukpairinjL = $true )
& ( binintersectLsub = $true )
& ( setminusSubset2 = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton1 = $true )
& ( setminusELneg = $true )
& ( quantDeMorgan3 = $true )
& ( notequalI2 = $true )
& ( setunionI = $true )
& ( setukpairinjR = $true )
& ( setext = $true )
& ( setunion__Cong = $true )
& ( upairinpowunion = $true )
& ( emptyInPowerset = $true )
& ( cartprodpairmemER = $true )
& ( binintersectSubset2 = $true )
& ( exuI2 = $true )
& ( eqinunit = $true )
& ( emptyE1 = $true )
& ( setunionE2 = $true )
& ( setminusER = $true )
& ( cartprodpairsurjEq = $true )
& ( dpsetconstrSub = $true )
& ( binintersectER = $true )
& ( binunionEcases = $true )
& ( wellorderingAx = $true )
& ( powerset__Cong = $true )
& ( dpsetconstrEL2 = $true )
& ( ksndsingleton = $true )
& ( subset2powerset = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetE = $true )
& ( notdexE = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( secondinupair = $true )
& ( setunionE = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( singletonprop = $true )
& ( subsetTrans = $true )
& ( uniqinunit = $true )
& ( powersetE = $true )
& ( setminusILneg = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset3 = $true )
& ( subsetRefl = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset1 = $true )
& ( kpairp = $true )
& ( powersetsubset = $true )
& ( quantDeMorgan4 = $true )
& ( subsetE2 = $true )
& ( cartprodpairin = $true )
& ( upairsetIR = $true )
& ( symdiffIneg2 = $true )
& ( kfstpairEq = $true )
& ( ubforcartprodlem3 = $true )
& ( exuEu = $true )
& ( descrp = $true )
& ( powersetAx = $true )
& ( upairsubunion = $true )
& ( setextAx = $true )
& ( cartprodsndpairEq = $true )
& ( binintersectSubset5 = $true )
& ( subsetemptysetimpeq = $true )
& ( upairset2E = $true )
& ( dsetconstrEL = $true )
& ( quantDeMorgan2 = $true )
& ( emptyI = $true )
& ( prop2set2propI = $true )
& ( setextsub = $true )
& ( ex1I = $true )
& ( emptyinPowerset = $true )
& ( nonemptyE1 = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( powersetI1 = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( inCongP = $true )
& ( cartprodpairmemEL = $true )
& ( setoftrueEq = $true )
& ( powersetI = $true )
& ( setadjoinOr = $true )
& ( setminusIRneg = $true )
& ( omegaIndAx = $true )
& ( nonemptyImpWitness = $true )
& ( notinemptyset = $true )
& ( symdiffI2 = $true )
& ( emptyset__Cong = $true )
& ( descr__Cong = $true )
& ( setbeta = $true )
& ( notinsingleton = $true )
& ? [X0: $i,X1: $i,X2: $i,X4: $i,X3: $i > $i > $o] :
( ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) )
= $true )
& ( ( X3 @ X2 @ X4 )
!= $true ) )
& ( upairset2IR = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( upairequniteq = $true )
& ( setminusI = $true )
& ( setminusLsub = $true )
& ( cartprodmempair = $true )
& ( symdiffE = $true )
& ( binintersectI = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( cartprodsndin = $true )
& ( dsetconstrI = $true )
& ( bs114d = $true )
& ( subsetI1 = $true )
& ( subsetE = $true )
& ( binintersectEL = $true )
& ( binunionIL = $true )
& ( dpsetconstrERa = $true )
& ( theprop = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairinjL2 = $true )
& ( setunionsingleton = $true )
& ( emptysetsubset = $true )
& ( symdiffIneg1 = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( setminusEL = $true )
& ( exuE3e = $true )
& ( setadjoinSub = $true )
& ( inPowerset = $true )
& ( nonemptyI = $true )
& ( eqimpsubset2 = $true )
& ( ex1I2 = $true )
& ( singletonsuniq = $true )
& ( nonemptyI1 = $true )
& ( singletoninpowerset = $true )
& ( setunionAx = $true ) ),
inference(flattening,[],[f701]) ).
thf(f738,plain,
( ( dpsetconstrEL1 = $true )
<=> ! [X2: $i,X0: $i,X4: $i,X1: $i > $i > $o,X3: $i] :
( ( $true
!= ( in @ ( kpair @ X0 @ X3 )
@ ( dpsetconstr @ X2 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
| ( ( in @ X0 @ X2 )
= $true ) ) ),
inference(ennf_transformation,[],[f263]) ).
thf(f1170,plain,
( ( exuI3 = $true )
& ( exuE2 = $true )
& ( exuE3u = $true )
& ( notdallE = $true )
& ( setunionsingleton2 = $true )
& ( notsubsetI = $true )
& ( exuI1 = $true )
& ( cartprodfstin = $true )
& ( subPowSU = $true )
& ( kpairiskpair = $true )
& ( setukpairinjL1 = $true )
& ( ubforcartprodlem2 = $true )
& ( omega0Ax = $true )
& ( symdiffI1 = $true )
& ( exu__Cong = $true )
& ( kfstsingleton = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( omega__Cong = $true )
& ( setukpairIR = $true )
& ( disjointsetsI1 = $true )
& ( singletoninpowunion = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( foundationAx = $true )
& ( powersetE1 = $true )
& ( setadjoinE = $true )
& ( ex1E1 = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( singletonsubset = $true )
& ( sepSubset = $true )
& ( setadjoinIR = $true )
& ( ubforcartprodlem1 = $true )
& ( replAx = $true )
& ( vacuousDall = $true )
& ( ksndpairEq = $true )
& ( binunionIR = $true )
& ( dpsetconstrI = $true )
& ( dsetconstrER = $true )
& ( setukpairinjR12 = $true )
& ( binunionE = $true )
& ( noeltsimpempty = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempair1 = $true )
& ( setukpairinjL = $true )
& ( binintersectLsub = $true )
& ( setminusSubset2 = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton1 = $true )
& ( setminusELneg = $true )
& ( quantDeMorgan3 = $true )
& ( notequalI2 = $true )
& ( setunionI = $true )
& ( setukpairinjR = $true )
& ( setext = $true )
& ( setunion__Cong = $true )
& ( upairinpowunion = $true )
& ( emptyInPowerset = $true )
& ( cartprodpairmemER = $true )
& ( binintersectSubset2 = $true )
& ( exuI2 = $true )
& ( eqinunit = $true )
& ( emptyE1 = $true )
& ( setunionE2 = $true )
& ( setminusER = $true )
& ( cartprodpairsurjEq = $true )
& ( dpsetconstrSub = $true )
& ( binintersectER = $true )
& ( binunionEcases = $true )
& ( wellorderingAx = $true )
& ( powerset__Cong = $true )
& ( dpsetconstrEL2 = $true )
& ( ksndsingleton = $true )
& ( subset2powerset = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetE = $true )
& ( notdexE = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( secondinupair = $true )
& ( setunionE = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( singletonprop = $true )
& ( subsetTrans = $true )
& ( uniqinunit = $true )
& ( powersetE = $true )
& ( setminusILneg = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset3 = $true )
& ( subsetRefl = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset1 = $true )
& ( kpairp = $true )
& ( powersetsubset = $true )
& ( quantDeMorgan4 = $true )
& ( subsetE2 = $true )
& ( cartprodpairin = $true )
& ( upairsetIR = $true )
& ( symdiffIneg2 = $true )
& ( kfstpairEq = $true )
& ( ubforcartprodlem3 = $true )
& ( exuEu = $true )
& ( descrp = $true )
& ( powersetAx = $true )
& ( upairsubunion = $true )
& ( setextAx = $true )
& ( cartprodsndpairEq = $true )
& ( binintersectSubset5 = $true )
& ( subsetemptysetimpeq = $true )
& ( upairset2E = $true )
& ( dsetconstrEL = $true )
& ( quantDeMorgan2 = $true )
& ( emptyI = $true )
& ( prop2set2propI = $true )
& ( setextsub = $true )
& ( ex1I = $true )
& ( emptyinPowerset = $true )
& ( nonemptyE1 = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( powersetI1 = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( inCongP = $true )
& ( cartprodpairmemEL = $true )
& ( setoftrueEq = $true )
& ( powersetI = $true )
& ( setadjoinOr = $true )
& ( setminusIRneg = $true )
& ( omegaIndAx = $true )
& ( nonemptyImpWitness = $true )
& ( notinemptyset = $true )
& ( symdiffI2 = $true )
& ( emptyset__Cong = $true )
& ( descr__Cong = $true )
& ( setbeta = $true )
& ( notinsingleton = $true )
& ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ( $true
= ( in @ ( kpair @ X2 @ X3 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) ) )
& ( $true
!= ( X4 @ X2 @ X3 ) ) )
& ( upairset2IR = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( upairequniteq = $true )
& ( setminusI = $true )
& ( setminusLsub = $true )
& ( cartprodmempair = $true )
& ( symdiffE = $true )
& ( binintersectI = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( cartprodsndin = $true )
& ( dsetconstrI = $true )
& ( bs114d = $true )
& ( subsetI1 = $true )
& ( subsetE = $true )
& ( binintersectEL = $true )
& ( binunionIL = $true )
& ( dpsetconstrERa = $true )
& ( theprop = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairinjL2 = $true )
& ( setunionsingleton = $true )
& ( emptysetsubset = $true )
& ( symdiffIneg1 = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( setminusEL = $true )
& ( exuE3e = $true )
& ( setadjoinSub = $true )
& ( inPowerset = $true )
& ( nonemptyI = $true )
& ( eqimpsubset2 = $true )
& ( ex1I2 = $true )
& ( singletonsuniq = $true )
& ( nonemptyI1 = $true )
& ( singletoninpowerset = $true )
& ( setunionAx = $true ) ),
inference(rectify,[],[f702]) ).
thf(f1171,plain,
( ( exuI3 = $true )
& ( exuE2 = $true )
& ( exuE3u = $true )
& ( notdallE = $true )
& ( setunionsingleton2 = $true )
& ( notsubsetI = $true )
& ( exuI1 = $true )
& ( cartprodfstin = $true )
& ( subPowSU = $true )
& ( kpairiskpair = $true )
& ( setukpairinjL1 = $true )
& ( ubforcartprodlem2 = $true )
& ( omega0Ax = $true )
& ( symdiffI1 = $true )
& ( exu__Cong = $true )
& ( kfstsingleton = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( omega__Cong = $true )
& ( setukpairIR = $true )
& ( disjointsetsI1 = $true )
& ( singletoninpowunion = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( foundationAx = $true )
& ( powersetE1 = $true )
& ( setadjoinE = $true )
& ( ex1E1 = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( singletonsubset = $true )
& ( sepSubset = $true )
& ( setadjoinIR = $true )
& ( ubforcartprodlem1 = $true )
& ( replAx = $true )
& ( vacuousDall = $true )
& ( ksndpairEq = $true )
& ( binunionIR = $true )
& ( dpsetconstrI = $true )
& ( dsetconstrER = $true )
& ( setukpairinjR12 = $true )
& ( binunionE = $true )
& ( noeltsimpempty = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempair1 = $true )
& ( setukpairinjL = $true )
& ( binintersectLsub = $true )
& ( setminusSubset2 = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton1 = $true )
& ( setminusELneg = $true )
& ( quantDeMorgan3 = $true )
& ( notequalI2 = $true )
& ( setunionI = $true )
& ( setukpairinjR = $true )
& ( setext = $true )
& ( setunion__Cong = $true )
& ( upairinpowunion = $true )
& ( emptyInPowerset = $true )
& ( cartprodpairmemER = $true )
& ( binintersectSubset2 = $true )
& ( exuI2 = $true )
& ( eqinunit = $true )
& ( emptyE1 = $true )
& ( setunionE2 = $true )
& ( setminusER = $true )
& ( cartprodpairsurjEq = $true )
& ( dpsetconstrSub = $true )
& ( binintersectER = $true )
& ( binunionEcases = $true )
& ( wellorderingAx = $true )
& ( powerset__Cong = $true )
& ( dpsetconstrEL2 = $true )
& ( ksndsingleton = $true )
& ( subset2powerset = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetE = $true )
& ( notdexE = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( secondinupair = $true )
& ( setunionE = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( singletonprop = $true )
& ( subsetTrans = $true )
& ( uniqinunit = $true )
& ( powersetE = $true )
& ( setminusILneg = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset3 = $true )
& ( subsetRefl = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset1 = $true )
& ( kpairp = $true )
& ( powersetsubset = $true )
& ( quantDeMorgan4 = $true )
& ( subsetE2 = $true )
& ( cartprodpairin = $true )
& ( upairsetIR = $true )
& ( symdiffIneg2 = $true )
& ( kfstpairEq = $true )
& ( ubforcartprodlem3 = $true )
& ( exuEu = $true )
& ( descrp = $true )
& ( powersetAx = $true )
& ( upairsubunion = $true )
& ( setextAx = $true )
& ( cartprodsndpairEq = $true )
& ( binintersectSubset5 = $true )
& ( subsetemptysetimpeq = $true )
& ( upairset2E = $true )
& ( dsetconstrEL = $true )
& ( quantDeMorgan2 = $true )
& ( emptyI = $true )
& ( prop2set2propI = $true )
& ( setextsub = $true )
& ( ex1I = $true )
& ( emptyinPowerset = $true )
& ( nonemptyE1 = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( powersetI1 = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( inCongP = $true )
& ( cartprodpairmemEL = $true )
& ( setoftrueEq = $true )
& ( powersetI = $true )
& ( setadjoinOr = $true )
& ( setminusIRneg = $true )
& ( omegaIndAx = $true )
& ( nonemptyImpWitness = $true )
& ( notinemptyset = $true )
& ( symdiffI2 = $true )
& ( emptyset__Cong = $true )
& ( descr__Cong = $true )
& ( setbeta = $true )
& ( notinsingleton = $true )
& ( $true
= ( in @ ( kpair @ sK339 @ sK340 )
@ ( dpsetconstr @ sK337 @ sK338
@ ^ [Y0: $i,Y1: $i] : ( sK341 @ Y0 @ Y1 ) ) ) )
& ( $true
!= ( sK341 @ sK339 @ sK340 ) )
& ( upairset2IR = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( upairequniteq = $true )
& ( setminusI = $true )
& ( setminusLsub = $true )
& ( cartprodmempair = $true )
& ( symdiffE = $true )
& ( binintersectI = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( cartprodsndin = $true )
& ( dsetconstrI = $true )
& ( bs114d = $true )
& ( subsetI1 = $true )
& ( subsetE = $true )
& ( binintersectEL = $true )
& ( binunionIL = $true )
& ( dpsetconstrERa = $true )
& ( theprop = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairinjL2 = $true )
& ( setunionsingleton = $true )
& ( emptysetsubset = $true )
& ( symdiffIneg1 = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( setminusEL = $true )
& ( exuE3e = $true )
& ( setadjoinSub = $true )
& ( inPowerset = $true )
& ( nonemptyI = $true )
& ( eqimpsubset2 = $true )
& ( ex1I2 = $true )
& ( singletonsuniq = $true )
& ( nonemptyI1 = $true )
& ( singletoninpowerset = $true )
& ( setunionAx = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK337,sK338,sK339,sK340,sK341]),skolemize(X0,sK337),skolemize(X1,sK338),skolemize(X2,sK339),skolemize(X3,sK340),skolemize(X4,sK341)],[f1170]) ).
thf(f1178,plain,
( ( ! [X0: $i,X4: $i > $i > $o,X1: $i,X3: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
| ( ( in @ ( kpair @ X1 @ X0 )
@ ( dpsetconstr @ X3 @ X2
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
!= $true ) )
| ( dpsetconstrEL2 != $true ) )
& ( ( dpsetconstrEL2 = $true )
| ? [X0: $i,X4: $i > $i > $o,X1: $i,X3: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
& ( ( in @ ( kpair @ X1 @ X0 )
@ ( dpsetconstr @ X3 @ X2
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f695]) ).
thf(f1179,plain,
( ( ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] :
( ( ( in @ X0 @ X4 )
= $true )
| ( $true
!= ( in @ ( kpair @ X2 @ X0 )
@ ( dpsetconstr @ X3 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( dpsetconstrEL2 != $true ) )
& ( ( dpsetconstrEL2 = $true )
| ? [X5: $i,X6: $i > $i > $o,X7: $i,X8: $i,X9: $i] :
( ( ( in @ X5 @ X9 )
!= $true )
& ( $true
= ( in @ ( kpair @ X7 @ X5 )
@ ( dpsetconstr @ X8 @ X9
@ ^ [Y0: $i,Y1: $i] : ( X6 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(rectify,[],[f1178]) ).
thf(f1180,plain,
( ( ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] :
( ( ( in @ X0 @ X4 )
= $true )
| ( $true
!= ( in @ ( kpair @ X2 @ X0 )
@ ( dpsetconstr @ X3 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( dpsetconstrEL2 != $true ) )
& ( ( dpsetconstrEL2 = $true )
| ( ( $true
!= ( in @ sK348 @ sK352 ) )
& ( ( in @ ( kpair @ sK350 @ sK348 )
@ ( dpsetconstr @ sK351 @ sK352
@ ^ [Y0: $i,Y1: $i] : ( sK349 @ Y0 @ Y1 ) ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK348,sK349,sK350,sK351,sK352]),skolemize(X5,sK348),skolemize(X6,sK349),skolemize(X7,sK350),skolemize(X8,sK351),skolemize(X9,sK352)],[f1179]) ).
thf(f1203,plain,
( ( ( dpsetconstrEL1 = $true )
| ? [X2: $i,X0: $i,X4: $i,X1: $i > $i > $o,X3: $i] :
( ( $true
= ( in @ ( kpair @ X0 @ X3 )
@ ( dpsetconstr @ X2 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
& ( ( in @ X0 @ X2 )
!= $true ) ) )
& ( ! [X2: $i,X0: $i,X4: $i,X1: $i > $i > $o,X3: $i] :
( ( $true
!= ( in @ ( kpair @ X0 @ X3 )
@ ( dpsetconstr @ X2 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
| ( ( in @ X0 @ X2 )
= $true ) )
| ( dpsetconstrEL1 != $true ) ) ),
inference(nnf_transformation,[],[f738]) ).
thf(f1204,plain,
( ( ( dpsetconstrEL1 = $true )
| ? [X0: $i,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i] :
( ( $true
= ( in @ ( kpair @ X1 @ X4 )
@ ( dpsetconstr @ X0 @ X2
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) ) )
& ( ( in @ X1 @ X0 )
!= $true ) ) )
& ( ! [X5: $i,X6: $i,X7: $i,X8: $i > $i > $o,X9: $i] :
( ( $true
!= ( in @ ( kpair @ X6 @ X9 )
@ ( dpsetconstr @ X5 @ X7
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) ) )
| ( $true
= ( in @ X6 @ X5 ) ) )
| ( dpsetconstrEL1 != $true ) ) ),
inference(rectify,[],[f1203]) ).
thf(f1205,plain,
( ( ( dpsetconstrEL1 = $true )
| ( ( $true
= ( in @ ( kpair @ sK374 @ sK377 )
@ ( dpsetconstr @ sK373 @ sK375
@ ^ [Y0: $i,Y1: $i] : ( sK376 @ Y0 @ Y1 ) ) ) )
& ( $true
!= ( in @ sK374 @ sK373 ) ) ) )
& ( ! [X5: $i,X6: $i,X7: $i,X8: $i > $i > $o,X9: $i] :
( ( $true
!= ( in @ ( kpair @ X6 @ X9 )
@ ( dpsetconstr @ X5 @ X7
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) ) )
| ( $true
= ( in @ X6 @ X5 ) ) )
| ( dpsetconstrEL1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK373,sK374,sK375,sK376,sK377]),skolemize(X0,sK373),skolemize(X1,sK374),skolemize(X2,sK375),skolemize(X3,sK376),skolemize(X4,sK377)],[f1204]) ).
thf(f1309,plain,
( ( ( dpsetconstrERa = $true )
| ? [X3: $i,X0: $i,X2: $i,X1: $i > $i > $o] :
( ? [X4: $i] :
( ( $true
!= ( X1 @ X2 @ X4 ) )
& ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
= $true ) )
& ( ( in @ X2 @ X3 )
= $true ) ) )
& ( ! [X3: $i,X0: $i,X2: $i,X1: $i > $i > $o] :
( ! [X4: $i] :
( ( $true
= ( X1 @ X2 @ X4 ) )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X3 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
!= $true ) )
| ( ( in @ X2 @ X3 )
!= $true ) )
| ( dpsetconstrERa != $true ) ) ),
inference(nnf_transformation,[],[f636]) ).
thf(f1310,plain,
( ( ( dpsetconstrERa = $true )
| ? [X0: $i,X1: $i,X2: $i,X3: $i > $i > $o] :
( ? [X4: $i] :
( ( ( X3 @ X2 @ X4 )
!= $true )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X2 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) )
= $true ) )
& ( ( in @ X2 @ X0 )
= $true ) ) )
& ( ! [X5: $i,X6: $i,X7: $i,X8: $i > $i > $o] :
( ! [X9: $i] :
( ( $true
= ( X8 @ X7 @ X9 ) )
| ( $true
!= ( in @ X9 @ X6 ) )
| ( ( in @ ( kpair @ X7 @ X9 )
@ ( dpsetconstr @ X5 @ X6
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) )
!= $true ) )
| ( $true
!= ( in @ X7 @ X5 ) ) )
| ( dpsetconstrERa != $true ) ) ),
inference(rectify,[],[f1309]) ).
thf(f1311,plain,
( ( ( dpsetconstrERa = $true )
| ( ( $true
!= ( sK476 @ sK475 @ sK477 ) )
& ( $true
= ( in @ sK477 @ sK474 ) )
& ( $true
= ( in @ ( kpair @ sK475 @ sK477 )
@ ( dpsetconstr @ sK473 @ sK474
@ ^ [Y0: $i,Y1: $i] : ( sK476 @ Y0 @ Y1 ) ) ) )
& ( ( in @ sK475 @ sK473 )
= $true ) ) )
& ( ! [X5: $i,X6: $i,X7: $i,X8: $i > $i > $o] :
( ! [X9: $i] :
( ( $true
= ( X8 @ X7 @ X9 ) )
| ( $true
!= ( in @ X9 @ X6 ) )
| ( ( in @ ( kpair @ X7 @ X9 )
@ ( dpsetconstr @ X5 @ X6
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) )
!= $true ) )
| ( $true
!= ( in @ X7 @ X5 ) ) )
| ( dpsetconstrERa != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK473,sK474,sK475,sK476,sK477]),skolemize(X0,sK473),skolemize(X1,sK474),skolemize(X2,sK475),skolemize(X3,sK476),skolemize(X4,sK477)],[f1310]) ).
thf(f1863,plain,
dpsetconstrERa = $true,
inference(cnf_transformation,[],[f1171]) ).
thf(f1882,plain,
( $true
!= ( sK341 @ sK339 @ sK340 ) ),
inference(cnf_transformation,[],[f1171]) ).
thf(f1883,plain,
( $true
= ( in @ ( kpair @ sK339 @ sK340 )
@ ( dpsetconstr @ sK337 @ sK338
@ ^ [Y0: $i,Y1: $i] : ( sK341 @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f1171]) ).
thf(f1945,plain,
dpsetconstrEL1 = $true,
inference(cnf_transformation,[],[f1171]) ).
thf(f1954,plain,
dpsetconstrEL2 = $true,
inference(cnf_transformation,[],[f1171]) ).
thf(f2038,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i > $i > $o,X4: $i] :
( ( dpsetconstrEL2 != $true )
| ( $true
!= ( in @ ( kpair @ X2 @ X0 )
@ ( dpsetconstr @ X3 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
| ( ( in @ X0 @ X4 )
= $true ) ),
inference(cnf_transformation,[],[f1180]) ).
thf(f2066,plain,
! [X8: $i > $i > $o,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( $true
!= ( in @ ( kpair @ X6 @ X9 )
@ ( dpsetconstr @ X5 @ X7
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) ) )
| ( dpsetconstrEL1 != $true )
| ( $true
= ( in @ X6 @ X5 ) ) ),
inference(cnf_transformation,[],[f1205]) ).
thf(f2206,plain,
! [X8: $i > $i > $o,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( $true
!= ( in @ X9 @ X6 ) )
| ( $true
= ( X8 @ X7 @ X9 ) )
| ( ( in @ ( kpair @ X7 @ X9 )
@ ( dpsetconstr @ X5 @ X6
@ ^ [Y0: $i,Y1: $i] : ( X8 @ Y0 @ Y1 ) ) )
!= $true )
| ( dpsetconstrERa != $true )
| ( $true
!= ( in @ X7 @ X5 ) ) ),
inference(cnf_transformation,[],[f1311]) ).
thf(f2340,plain,
! [X8: $i > $i > $o,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( ( in @ ( kpair @ X6 @ X9 ) @ ( dpsetconstr @ X5 @ X7 @ X8 ) )
!= $true )
| ( dpsetconstrEL1 != $true )
| ( $true
= ( in @ X6 @ X5 ) ) ),
inference(beta-eta_normalization,[],[f2066]) ).
thf(f2410,plain,
! [X8: $i > $i > $o,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( $true
!= ( in @ ( kpair @ X7 @ X9 ) @ ( dpsetconstr @ X5 @ X6 @ X8 ) ) )
| ( $true
= ( X8 @ X7 @ X9 ) )
| ( $true
!= ( in @ X9 @ X6 ) )
| ( dpsetconstrERa != $true )
| ( $true
!= ( in @ X7 @ X5 ) ) ),
inference(beta-eta_normalization,[],[f2206]) ).
thf(f2413,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i > $i > $o,X4: $i] :
( ( $true
!= ( in @ ( kpair @ X2 @ X0 ) @ ( dpsetconstr @ X3 @ X4 @ X1 ) ) )
| ( dpsetconstrEL2 != $true )
| ( ( in @ X0 @ X4 )
= $true ) ),
inference(beta-eta_normalization,[],[f2038]) ).
thf(f2420,plain,
( $true
= ( in @ ( kpair @ sK339 @ sK340 ) @ ( dpsetconstr @ sK337 @ sK338 @ sK341 ) ) ),
inference(beta-eta_normalization,[],[f1883]) ).
thf(f2423,plain,
( ( $true
= ( in @ sK340 @ sK338 ) )
| ( $true != $true )
| ( dpsetconstrEL2 != $true ) ),
inference(constrained_superposition,[],[f2413,f2420]) ).
thf(f2424,plain,
( ( $true
!= ( in @ sK340 @ sK338 ) )
| ( $true
= ( sK341 @ sK339 @ sK340 ) )
| ( dpsetconstrERa != $true )
| ( $true != $true )
| ( $true
!= ( in @ sK339 @ sK337 ) ) ),
inference(constrained_superposition,[],[f2410,f2420]) ).
thf(f2425,plain,
( ( $true
= ( in @ sK339 @ sK337 ) )
| ( dpsetconstrEL1 != $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2340,f2420]) ).
thf(f2428,plain,
( ( dpsetconstrERa != $true )
| ( $true
!= ( in @ sK339 @ sK337 ) )
| ( $true
= ( sK341 @ sK339 @ sK340 ) )
| ( $true
!= ( in @ sK340 @ sK338 ) ) ),
inference(trivial_inequality_removal,[],[f2424]) ).
thf(f2429,plain,
( ( $true
= ( in @ sK339 @ sK337 ) )
| ( dpsetconstrEL1 != $true ) ),
inference(trivial_inequality_removal,[],[f2425]) ).
thf(f2430,plain,
( ( dpsetconstrEL2 != $true )
| ( $true
= ( in @ sK340 @ sK338 ) ) ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2432,plain,
( ( $true
= ( sK341 @ sK339 @ sK340 ) )
| ( $true
!= ( in @ sK339 @ sK337 ) )
| ( $true
!= ( in @ sK340 @ sK338 ) ) ),
inference(forward_subsumption_resolution,[],[f2428,f1863]) ).
thf(f2433,plain,
( $true
= ( in @ sK339 @ sK337 ) ),
inference(forward_subsumption_resolution,[],[f2429,f1945]) ).
thf(f2434,plain,
( $true
= ( in @ sK340 @ sK338 ) ),
inference(forward_subsumption_resolution,[],[f2430,f1954]) ).
thf(f2435,plain,
( ( $true
!= ( in @ sK339 @ sK337 ) )
| ( $true
!= ( in @ sK340 @ sK338 ) ) ),
inference(forward_subsumption_resolution,[],[f2432,f1882]) ).
thf(f2436,plain,
( $true
!= ( in @ sK340 @ sK338 ) ),
inference(forward_subsumption_resolution,[],[f2435,f2433]) ).
thf(f2437,plain,
$false,
inference(forward_subsumption_resolution,[],[f2436,f2434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU671^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n004.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:06:52 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.23/0.26 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
% 0.60/0.39 % (1339595)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.39 % (1339600)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2497638485:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.39 % (1339606)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.39 % (1339606)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
% 0.60/0.39 % (1339601)lrs+10_16_si=on:nwc=1.5:random_seed=1218584355:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.39 % (1339602)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2659362429:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.39 % (1339603)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=542685498: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)
% 0.60/0.39 % (1339604)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=155085651:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.39 % (1339605)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=412785975:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.39 % (1339606)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=1644727062:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.39 % (1339602)Instruction limit reached!
% 0.60/0.39 % (1339602)------------------------------
% 0.60/0.39 % (1339602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.39 % (1339602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.39 % (1339602)CaDiCaL version: 2.1.3
% 0.60/0.39 % (1339602)Termination reason: Instruction limit
% 0.60/0.39 % (1339602)Termination phase: shuffling
% 0.60/0.39 % (1339602)Time elapsed: 0.002 s
% 0.60/0.39 % (1339602)Peak memory usage: 10 MB
% 0.60/0.39 % (1339602)Instructions burned: 3 (million)
% 0.60/0.39 % (1339601)Instruction limit reached!
% 0.60/0.39 % (1339601)------------------------------
% 0.60/0.39 % (1339601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.39 % (1339601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.39 % (1339601)CaDiCaL version: 2.1.3
% 0.60/0.39 % (1339601)Termination reason: Instruction limit
% 0.60/0.39 % (1339601)Termination phase: shuffling
% 0.60/0.39 % (1339601)Time elapsed: 0.008 s
% 0.60/0.39 % (1339601)Peak memory usage: 10 MB
% 0.60/0.39 % (1339601)Instructions burned: 18 (million)
% 0.60/0.39 % (1339604)Instruction limit reached!
% 0.60/0.39 % (1339604)------------------------------
% 0.60/0.39 % (1339604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.39 % (1339604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.39 % (1339604)CaDiCaL version: 2.1.3
% 0.60/0.39 % (1339604)Termination reason: Instruction limit
% 0.60/0.39 % (1339604)Termination phase: shuffling
% 0.60/0.39 % (1339604)Time elapsed: 0.012 s
% 0.60/0.39 % (1339604)Peak memory usage: 11 MB
% 0.60/0.39 % (1339604)Instructions burned: 27 (million)
% 0.60/0.39 % (1339600)Instruction limit reached!
% 0.60/0.39 % (1339600)------------------------------
% 0.60/0.39 % (1339600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.39 % (1339600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.39 % (1339600)CaDiCaL version: 2.1.3
% 0.60/0.39 % (1339600)Termination reason: Instruction limit
% 0.60/0.39 % (1339600)Termination phase: Function definition elimination
% 0.60/0.39 % (1339600)Time elapsed: 0.022 s
% 0.60/0.39 % (1339600)Peak memory usage: 12 MB
% 0.60/0.39 % (1339600)Instructions burned: 90 (million)
% 0.60/0.39 % (1339614)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2340334602:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.39 % (1339614)Instruction limit reached!
% 0.60/0.39 % (1339614)------------------------------
% 0.60/0.39 % (1339614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (1339614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (1339614)CaDiCaL version: 2.1.3
% 0.60/0.44 % (1339614)Termination reason: Instruction limit
% 0.60/0.44 % (1339614)Termination phase: shuffling
% 0.60/0.44 % (1339614)Time elapsed: 0.002 s
% 0.60/0.44 % (1339614)Peak memory usage: 10 MB
% 0.60/0.44 % (1339614)Instructions burned: 3 (million)
% 0.60/0.44 % (1339617)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=294373305:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.60/0.44 % (1339617)Instruction limit reached!
% 0.60/0.44 % (1339617)------------------------------
% 0.60/0.44 % (1339617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (1339617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (1339617)CaDiCaL version: 2.1.3
% 0.60/0.44 % (1339617)Termination reason: Instruction limit
% 0.60/0.44 % (1339617)Termination phase: shuffling
% 0.60/0.44 % (1339617)Time elapsed: 0.003 s
% 0.60/0.44 % (1339617)Peak memory usage: 10 MB
% 0.60/0.44 % (1339617)Instructions burned: 12 (million)
% 0.60/0.44 % (1339616)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.44 % (1339615)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4126215925:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.60/0.44 % (1339615)Instruction limit reached!
% 0.60/0.44 % (1339615)------------------------------
% 0.60/0.44 % (1339615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (1339615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (1339615)CaDiCaL version: 2.1.3
% 0.60/0.44 % (1339615)Termination reason: Instruction limit
% 0.60/0.44 % (1339615)Termination phase: shuffling
% 0.60/0.44 % (1339615)Time elapsed: 0.003 s
% 0.60/0.44 % (1339615)Peak memory usage: 10 MB
% 0.60/0.44 % (1339615)Instructions burned: 5 (million)
% 0.60/0.44 % (1339616)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=816293599:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.60/0.44 % (1339605)Instruction limit reached!
% 0.60/0.44 % (1339605)------------------------------
% 0.60/0.44 % (1339605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (1339605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (1339605)CaDiCaL version: 2.1.3
% 0.60/0.44 % (1339605)Termination reason: Instruction limit
% 0.60/0.44 % (1339605)Termination phase: Property scanning
% 0.60/0.44 % (1339605)Time elapsed: 0.035 s
% 0.60/0.44 % (1339605)Peak memory usage: 12 MB
% 0.60/0.44 % (1339605)Instructions burned: 75 (million)
% 0.60/0.44 % (1339616)Instruction limit reached!
% 0.60/0.44 % (1339616)------------------------------
% 0.60/0.44 % (1339616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.44 % (1339616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.44 % (1339616)CaDiCaL version: 2.1.3
% 0.60/0.44 % (1339616)Termination reason: Instruction limit
% 0.60/0.44 % (1339616)Termination phase: shuffling
% 0.60/0.44 % (1339616)Time elapsed: 0.004 s
% 0.60/0.44 % (1339616)Peak memory usage: 10 MB
% 0.60/0.44 % (1339616)Instructions burned: 8 (million)
% 0.60/0.44 % (1339621)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=1192817238:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.60/0.44 % (1339620)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
% 0.60/0.44 % (1339620)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.44 % (1339620)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3700080437:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.60/0.44 % (1339625)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.26/0.47 % (1339624)lrs+10_1_si=on:cs=on:random_seed=546282975:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.26/0.47 % (1339625)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=2793914272:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.47 % (1339626)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1083864677:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.26/0.47 % (1339620)Instruction limit reached!
% 1.26/0.47 % (1339620)------------------------------
% 1.26/0.47 % (1339620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339620)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339620)Termination reason: Instruction limit
% 1.26/0.47 % (1339620)Termination phase: Property scanning
% 1.26/0.47 % (1339620)Time elapsed: 0.012 s
% 1.26/0.47 % (1339620)Peak memory usage: 10 MB
% 1.26/0.47 % (1339620)Instructions burned: 29 (million)
% 1.26/0.47 % (1339624)Instruction limit reached!
% 1.26/0.47 % (1339624)------------------------------
% 1.26/0.47 % (1339624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339624)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339624)Termination reason: Instruction limit
% 1.26/0.47 % (1339624)Termination phase: shuffling
% 1.26/0.47 % (1339624)Time elapsed: 0.004 s
% 1.26/0.47 % (1339624)Peak memory usage: 10 MB
% 1.26/0.47 % (1339624)Instructions burned: 9 (million)
% 1.26/0.47 % (1339625)Instruction limit reached!
% 1.26/0.47 % (1339625)------------------------------
% 1.26/0.47 % (1339625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339625)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339625)Termination reason: Instruction limit
% 1.26/0.47 % (1339625)Termination phase: shuffling
% 1.26/0.47 % (1339625)Time elapsed: 0.002 s
% 1.26/0.47 % (1339625)Peak memory usage: 10 MB
% 1.26/0.47 % (1339625)Instructions burned: 4 (million)
% 1.26/0.47 % (1339621)Instruction limit reached!
% 1.26/0.47 % (1339621)------------------------------
% 1.26/0.47 % (1339621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339621)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339621)Termination reason: Instruction limit
% 1.26/0.47 % (1339621)Termination phase: Property scanning
% 1.26/0.47 % (1339621)Time elapsed: 0.019 s
% 1.26/0.47 % (1339621)Peak memory usage: 11 MB
% 1.26/0.47 % (1339621)Instructions burned: 91 (million)
% 1.26/0.47 % (1339635)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3033539926:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.26/0.47 % (1339606)Instruction limit reached!
% 1.26/0.47 % (1339606)------------------------------
% 1.26/0.47 % (1339606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339606)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339606)Termination reason: Instruction limit
% 1.26/0.47 % (1339606)Termination phase: Saturation
% 1.26/0.47 % (1339606)Time elapsed: 0.068 s
% 1.26/0.47 % (1339606)Peak memory usage: 14 MB
% 1.26/0.47 % (1339606)Instructions burned: 159 (million)
% 1.26/0.47 % (1339626)Instruction limit reached!
% 1.26/0.47 % (1339626)------------------------------
% 1.26/0.47 % (1339626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (1339626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (1339626)CaDiCaL version: 2.1.3
% 1.26/0.47 % (1339626)Termination reason: Instruction limit
% 1.26/0.47 % (1339626)Termination phase: Preprocessing 3
% 1.26/0.47 % (1339626)Time elapsed: 0.018 s
% 1.26/0.47 % (1339626)Peak memory usage: 11 MB
% 1.26/0.47 % (1339626)Instructions burned: 40 (million)
% 1.26/0.47 % (1339632)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3821999074:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.26/0.47 % (1339633)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2159900077:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.26/0.52 % (1339634)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=441098509:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.52 % (1339634)Instruction limit reached!
% 1.26/0.52 % (1339634)------------------------------
% 1.26/0.52 % (1339634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.52 % (1339634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.52 % (1339634)CaDiCaL version: 2.1.3
% 1.26/0.52 % (1339634)Termination reason: Instruction limit
% 1.26/0.52 % (1339634)Termination phase: shuffling
% 1.26/0.52 % (1339634)Time elapsed: 0.006 s
% 1.26/0.52 % (1339634)Peak memory usage: 10 MB
% 1.26/0.52 % (1339634)Instructions burned: 14 (million)
% 1.26/0.52 % (1339633)Instruction limit reached!
% 1.26/0.52 % (1339633)------------------------------
% 1.26/0.52 % (1339633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.52 % (1339633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.52 % (1339633)CaDiCaL version: 2.1.3
% 1.26/0.52 % (1339633)Termination reason: Instruction limit
% 1.26/0.52 % (1339633)Termination phase: SInE selection
% 1.26/0.52 % (1339633)Time elapsed: 0.012 s
% 1.26/0.52 % (1339633)Peak memory usage: 10 MB
% 1.26/0.52 % (1339633)Instructions burned: 27 (million)
% 1.26/0.52 % (1339637)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=495690043:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.52 % (1339639)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3331999396: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)
% 1.26/0.52 % (1339639)Instruction limit reached!
% 1.26/0.52 % (1339639)------------------------------
% 1.26/0.52 % (1339639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.52 % (1339639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.52 % (1339639)CaDiCaL version: 2.1.3
% 1.26/0.52 % (1339639)Termination reason: Instruction limit
% 1.26/0.52 % (1339639)Termination phase: shuffling
% 1.26/0.52 % (1339639)Time elapsed: 0.002 s
% 1.26/0.52 % (1339639)Peak memory usage: 10 MB
% 1.26/0.52 % (1339639)Instructions burned: 3 (million)
% 1.26/0.52 % (1339637)Instruction limit reached!
% 1.26/0.52 % (1339637)------------------------------
% 1.26/0.52 % (1339637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.52 % (1339637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.52 % (1339637)CaDiCaL version: 2.1.3
% 1.26/0.52 % (1339637)Termination reason: Instruction limit
% 1.26/0.52 % (1339637)Termination phase: shuffling
% 1.26/0.52 % (1339637)Time elapsed: 0.007 s
% 1.26/0.52 % (1339637)Peak memory usage: 10 MB
% 1.26/0.52 % (1339637)Instructions burned: 16 (million)
% 1.26/0.52 % (1339642)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2110795583:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.52 % (1339644)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2853570500:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.52 % (1339647)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
% 1.26/0.52 % (1339647)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.26/0.52 % (1339642)Instruction limit reached!
% 1.26/0.52 % (1339642)------------------------------
% 1.26/0.52 % (1339642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.52 % (1339642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.52 % (1339642)CaDiCaL version: 2.1.3
% 1.26/0.52 % (1339642)Termination reason: Instruction limit
% 1.26/0.52 % (1339642)Termination phase: Property scanning
% 1.26/0.52 % (1339642)Time elapsed: 0.012 s
% 1.26/0.52 % (1339642)Peak memory usage: 10 MB
% 1.26/0.52 % (1339642)Instructions burned: 27 (million)
% 1.26/0.52 % (1339647)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=2998408290:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.02/0.57 % (1339646)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1277233003:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.02/0.57 % (1339644)Instruction limit reached!
% 2.02/0.57 % (1339644)------------------------------
% 2.02/0.57 % (1339644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339644)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339644)Termination reason: Instruction limit
% 2.02/0.57 % (1339644)Termination phase: Property scanning
% 2.02/0.57 % (1339644)Time elapsed: 0.011 s
% 2.02/0.57 % (1339644)Peak memory usage: 10 MB
% 2.02/0.57 % (1339644)Instructions burned: 24 (million)
% 2.02/0.57 % (1339647)Instruction limit reached!
% 2.02/0.57 % (1339647)------------------------------
% 2.02/0.57 % (1339647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339647)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339647)Termination reason: Instruction limit
% 2.02/0.57 % (1339647)Termination phase: shuffling
% 2.02/0.57 % (1339647)Time elapsed: 0.006 s
% 2.02/0.57 % (1339647)Peak memory usage: 10 MB
% 2.02/0.57 % (1339647)Instructions burned: 14 (million)
% 2.02/0.57 % (1339650)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.02/0.57 % (1339650)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=301973681:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.02/0.57 % (1339653)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=3929503313:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.02/0.57 % (1339650)Instruction limit reached!
% 2.02/0.57 % (1339650)------------------------------
% 2.02/0.57 % (1339650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339650)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339650)Termination reason: Instruction limit
% 2.02/0.57 % (1339650)Termination phase: shuffling
% 2.02/0.57 % (1339650)Time elapsed: 0.004 s
% 2.02/0.57 % (1339650)Peak memory usage: 10 MB
% 2.02/0.57 % (1339650)Instructions burned: 8 (million)
% 2.02/0.57 % (1339654)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2772671656:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.02/0.57 % (1339654)Instruction limit reached!
% 2.02/0.57 % (1339654)------------------------------
% 2.02/0.57 % (1339654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339654)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339654)Termination reason: Instruction limit
% 2.02/0.57 % (1339654)Termination phase: shuffling
% 2.02/0.57 % (1339654)Time elapsed: 0.003 s
% 2.02/0.57 % (1339654)Peak memory usage: 10 MB
% 2.02/0.57 % (1339654)Instructions burned: 7 (million)
% 2.02/0.57 % (1339646)Instruction limit reached!
% 2.02/0.57 % (1339646)------------------------------
% 2.02/0.57 % (1339646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339646)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339646)Termination reason: Instruction limit
% 2.02/0.57 % (1339646)Termination phase: Property scanning
% 2.02/0.57 % (1339646)Time elapsed: 0.030 s
% 2.02/0.57 % (1339646)Peak memory usage: 12 MB
% 2.02/0.57 % (1339646)Instructions burned: 60 (million)
% 2.02/0.57 % (1339653)Instruction limit reached!
% 2.02/0.57 % (1339653)------------------------------
% 2.02/0.57 % (1339653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.02/0.57 % (1339653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.57 % (1339653)CaDiCaL version: 2.1.3
% 2.02/0.57 % (1339653)Termination reason: Instruction limit
% 2.02/0.57 % (1339653)Termination phase: Property scanning
% 2.02/0.57 % (1339653)Time elapsed: 0.014 s
% 2.34/0.66 % (1339653)Peak memory usage: 10 MB
% 2.34/0.66 % (1339653)Instructions burned: 32 (million)
% 2.34/0.66 % (1339635)Instruction limit reached!
% 2.34/0.66 % (1339635)------------------------------
% 2.34/0.66 % (1339635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (1339635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (1339635)CaDiCaL version: 2.1.3
% 2.34/0.66 % (1339635)Termination reason: Instruction limit
% 2.34/0.66 % (1339635)Termination phase: Saturation
% 2.34/0.66 % (1339635)Time elapsed: 0.084 s
% 2.34/0.66 % (1339635)Peak memory usage: 14 MB
% 2.34/0.66 % (1339635)Instructions burned: 329 (million)
% 2.34/0.66 % (1339657)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3910920630:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.34/0.66 % (1339661)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2969137752:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.34/0.66 % (1339659)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1608584875:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.34/0.66 % (1339660)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3777413151:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.34/0.66 % (1339657)Instruction limit reached!
% 2.34/0.66 % (1339657)------------------------------
% 2.34/0.66 % (1339657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (1339657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (1339657)CaDiCaL version: 2.1.3
% 2.34/0.66 % (1339657)Termination reason: Instruction limit
% 2.34/0.66 % (1339657)Termination phase: Property scanning
% 2.34/0.66 % (1339657)Time elapsed: 0.011 s
% 2.34/0.66 % (1339657)Peak memory usage: 10 MB
% 2.34/0.66 % (1339657)Instructions burned: 24 (million)
% 2.34/0.66 % (1339662)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2808633331:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.34/0.66 % (1339659)Instruction limit reached!
% 2.34/0.66 % (1339659)------------------------------
% 2.34/0.66 % (1339659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (1339659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (1339659)CaDiCaL version: 2.1.3
% 2.34/0.66 % (1339659)Termination reason: Instruction limit
% 2.34/0.66 % (1339659)Termination phase: shuffling
% 2.34/0.66 % (1339659)Time elapsed: 0.010 s
% 2.34/0.66 % (1339659)Peak memory usage: 10 MB
% 2.34/0.66 % (1339659)Instructions burned: 21 (million)
% 2.34/0.66 % (1339670)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2150066504:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.34/0.66 % (1339673)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.34/0.66 % (1339673)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1748796282:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.34/0.66 % (1339632)Instruction limit reached!
% 2.34/0.66 % (1339632)------------------------------
% 2.34/0.66 % (1339632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (1339632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (1339632)CaDiCaL version: 2.1.3
% 2.34/0.66 % (1339632)Termination reason: Instruction limit
% 2.34/0.66 % (1339632)Termination phase: Saturation
% 2.34/0.66 % (1339632)Time elapsed: 0.120 s
% 2.34/0.66 % (1339632)Peak memory usage: 14 MB
% 2.34/0.66 % (1339632)Instructions burned: 249 (million)
% 2.34/0.66 % (1339661)Instruction limit reached!
% 2.34/0.66 % (1339661)------------------------------
% 2.34/0.66 % (1339661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (1339661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (1339661)CaDiCaL version: 2.1.3
% 2.34/0.66 % (1339661)Termination reason: Instruction limit
% 2.34/0.66 % (1339661)Termination phase: Saturation
% 2.34/0.66 % (1339661)Time elapsed: 0.033 s
% 2.34/0.66 % (1339661)Peak memory usage: 13 MB
% 2.34/0.66 % (1339661)Instructions burned: 145 (million)
% 2.34/0.66 % (1339673)Instruction limit reached!
% 2.34/0.70 % (1339673)------------------------------
% 2.34/0.70 % (1339673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339673)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339673)Termination reason: Instruction limit
% 2.34/0.70 % (1339673)Termination phase: shuffling
% 2.34/0.70 % (1339673)Time elapsed: 0.004 s
% 2.34/0.70 % (1339673)Peak memory usage: 10 MB
% 2.34/0.70 % (1339673)Instructions burned: 9 (million)
% 2.34/0.70 % (1339670)Instruction limit reached!
% 2.34/0.70 % (1339670)------------------------------
% 2.34/0.70 % (1339670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339690)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3681849680:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.34/0.70 % (1339670)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339670)Termination reason: Instruction limit
% 2.34/0.70 % (1339670)Termination phase: Preprocessing 3
% 2.34/0.70 % (1339670)Time elapsed: 0.018 s
% 2.34/0.70 % (1339670)Peak memory usage: 11 MB
% 2.34/0.70 % (1339670)Instructions burned: 43 (million)
% 2.34/0.70 % (1339692)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.34/0.70 % (1339688)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2380090562:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.34/0.70 % (1339692)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=716425657:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.34/0.70 % (1339692)Instruction limit reached!
% 2.34/0.70 % (1339692)------------------------------
% 2.34/0.70 % (1339692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339692)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339692)Termination reason: Instruction limit
% 2.34/0.70 % (1339692)Termination phase: shuffling
% 2.34/0.70 % (1339692)Time elapsed: 0.003 s
% 2.34/0.70 % (1339692)Peak memory usage: 10 MB
% 2.34/0.70 % (1339692)Instructions burned: 6 (million)
% 2.34/0.70 % (1339699)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3483320926:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.34/0.70 % (1339699)Instruction limit reached!
% 2.34/0.70 % (1339699)------------------------------
% 2.34/0.70 % (1339699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339699)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339699)Termination reason: Instruction limit
% 2.34/0.70 % (1339699)Termination phase: shuffling
% 2.34/0.70 % (1339699)Time elapsed: 0.010 s
% 2.34/0.70 % (1339699)Peak memory usage: 10 MB
% 2.34/0.70 % (1339699)Instructions burned: 22 (million)
% 2.34/0.70 % (1339710)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=25389801:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.34/0.70 % (1339690)Instruction limit reached!
% 2.34/0.70 % (1339690)------------------------------
% 2.34/0.70 % (1339690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339690)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339690)Termination reason: Instruction limit
% 2.34/0.70 % (1339690)Termination phase: Saturation
% 2.34/0.70 % (1339690)Time elapsed: 0.040 s
% 2.34/0.70 % (1339690)Peak memory usage: 14 MB
% 2.34/0.70 % (1339690)Instructions burned: 172 (million)
% 2.34/0.70 % (1339710)Instruction limit reached!
% 2.34/0.70 % (1339710)------------------------------
% 2.34/0.70 % (1339710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339710)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339710)Termination reason: Instruction limit
% 2.34/0.70 % (1339710)Termination phase: shuffling
% 2.34/0.70 % (1339710)Time elapsed: 0.009 s
% 2.34/0.70 % (1339710)Peak memory usage: 10 MB
% 2.34/0.70 % (1339710)Instructions burned: 20 (million)
% 2.34/0.70 % (1339719)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1629829856:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.34/0.70 % (1339723)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4133886863:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.34/0.70 % (1339662)Instruction limit reached!
% 2.34/0.70 % (1339662)------------------------------
% 2.34/0.70 % (1339662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339662)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339662)Termination reason: Instruction limit
% 2.34/0.70 % (1339662)Termination phase: Saturation
% 2.34/0.70 % (1339662)Time elapsed: 0.095 s
% 2.34/0.70 % (1339662)Peak memory usage: 14 MB
% 2.34/0.70 % (1339662)Instructions burned: 193 (million)
% 2.34/0.70 % (1339725)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2581500709:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.34/0.70 % (1339729)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=147602197:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.34/0.70 % (1339725)Instruction limit reached!
% 2.34/0.70 % (1339725)------------------------------
% 2.34/0.70 % (1339725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339725)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339725)Termination reason: Instruction limit
% 2.34/0.70 % (1339725)Termination phase: Preprocessing 3
% 2.34/0.70 % (1339725)Time elapsed: 0.021 s
% 2.34/0.70 % (1339725)Peak memory usage: 11 MB
% 2.34/0.70 % (1339725)Instructions burned: 46 (million)
% 2.34/0.70 % (1339688)Instruction limit reached!
% 2.34/0.70 % (1339688)------------------------------
% 2.34/0.70 % (1339688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339688)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339688)Termination reason: Instruction limit
% 2.34/0.70 % (1339688)Termination phase: Saturation
% 2.34/0.70 % (1339688)Time elapsed: 0.080 s
% 2.34/0.70 % (1339688)Peak memory usage: 14 MB
% 2.34/0.70 % (1339688)Instructions burned: 181 (million)
% 2.34/0.70 % (1339733)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.34/0.70 % (1339732)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3835247681:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.34/0.70 % (1339733)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3116142451:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.34/0.70 % (1339732)Instruction limit reached!
% 2.34/0.70 % (1339732)------------------------------
% 2.34/0.70 % (1339732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339732)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339732)Termination reason: Instruction limit
% 2.34/0.70 % (1339732)Termination phase: shuffling
% 2.34/0.70 % (1339732)Time elapsed: 0.010 s
% 2.34/0.70 % (1339732)Peak memory usage: 10 MB
% 2.34/0.70 % (1339732)Instructions burned: 21 (million)
% 2.34/0.70 % (1339603)Instruction limit reached!
% 2.34/0.70 % (1339603)------------------------------
% 2.34/0.70 % (1339603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339603)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339603)Termination reason: Instruction limit
% 2.34/0.70 % (1339603)Termination phase: Saturation
% 2.34/0.70 % (1339603)Time elapsed: 0.341 s
% 2.34/0.70 % (1339603)Peak memory usage: 19 MB
% 2.34/0.70 % (1339603)Instructions burned: 635 (million)
% 2.34/0.70 % (1339736)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1250860350:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.34/0.70 % (1339736)Instruction limit reached!
% 2.34/0.70 % (1339736)------------------------------
% 2.34/0.70 % (1339736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (1339736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (1339736)CaDiCaL version: 2.1.3
% 2.34/0.70 % (1339736)Termination reason: Instruction limit
% 2.34/0.70 % (1339736)Termination phase: shuffling
% 2.34/0.70 % (1339736)Time elapsed: 0.007 s
% 2.34/0.70 % (1339736)Peak memory usage: 10 MB
% 2.34/0.70 % (1339736)Instructions burned: 14 (million)
% 2.34/0.70 % (1339738)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=181582881:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.34/0.70 % (1339729) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1339595-1339729"...
% 2.34/0.70 % (1339739)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1962814287:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.34/0.70 % (1339729)...printing done.
% 2.34/0.70 % (1339729)Refutation found. Thanks to Tanya!
% 2.34/0.70 % SZS status Theorem for theBenchmark
% 2.34/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.70 % (1339729)------------------------------
% 3.06/0.70 % (1339729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.70 % (1339729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.70 % (1339729)CaDiCaL version: 2.1.3
% 3.06/0.70 % (1339729)Termination reason: Refutation
% 3.06/0.70 % (1339729)Time elapsed: 0.085 s
% 3.06/0.70 % (1339729)Peak memory usage: 15 MB
% 3.06/0.70 % (1339729)Instructions burned: 176 (million)
% 3.06/0.70 % (1339595)Success in time 0.424 s
% 3.06/0.70 % Vampire exiting
%------------------------------------------------------------------------------