%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU702^1 : 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 : n001.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 08:30:51 AM UTC 2026
% Result : Theorem 2.72s 0.77s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 4298 (1214 equ; 0 cnn)
% Maximal formula atoms : 223 ( 130 avg)
% Number of connectives : 2116 ( 62 ~; 52 |; 918 &; 191 @)
% ( 3 <=>; 890 =>; 0 <=; 0 <~>)
% Maximal formula depth : 233 ( 58 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 435 ( 432 usr; 241 con; 0-4 aty)
% Number of variables : 87 ( 23 ^; 46 !; 18 ?; 87 :)
% 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_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_258,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_259,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_260,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_261,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_262,type,
vAND: $o > $o > $o ).
thf(func_def_263,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_264,type,
vIMP: $o > $o > $o ).
thf(func_def_265,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_266,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_267,type,
vOR: $o > $o > $o ).
thf(func_def_268,type,
vNOT: $o > $o ).
thf(func_def_269,type,
sP0: $o ).
thf(func_def_270,type,
sP1: $i > $i > $o ).
thf(func_def_271,type,
sP2: $i > $o ).
thf(func_def_272,type,
sP3: $i > $i > $o ).
thf(func_def_273,type,
sP4: $i > $i > $o ).
thf(func_def_274,type,
sP5: $i > $i > $i > $i > $o ).
thf(func_def_275,type,
sP6: $o ).
thf(func_def_276,type,
sP7: $i > $o > $i > $i > $o ).
thf(func_def_277,type,
sP8: $o ).
thf(func_def_278,type,
sP9: $o ).
thf(func_def_279,type,
sP10: $o ).
thf(func_def_286,type,
sK17: $o ).
thf(func_def_290,type,
sK21: $i > $o ).
thf(func_def_293,type,
sK24: $i > $o ).
thf(func_def_302,type,
sK33: $i > $i ).
thf(func_def_304,type,
sK35: $i > ( $i > $i ) > $i > $i ).
thf(func_def_310,type,
sK41: $i > $i > $o ).
thf(func_def_315,type,
sK46: $o ).
thf(func_def_318,type,
sK49: $i > $i > $i ).
thf(func_def_319,type,
sK50: $i > $o ).
thf(func_def_324,type,
sK55: $i > $i > $i ).
thf(func_def_329,type,
sK60: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_330,type,
sK61: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_333,type,
sK64: $i > $o ).
thf(func_def_334,type,
sK65: $i > $o ).
thf(func_def_335,type,
sK66: $i > $i > $i > $i > $i ).
thf(func_def_347,type,
sK78: $i > $o ).
thf(func_def_349,type,
sK80: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_350,type,
sK81: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_368,type,
sK99: ( $i > $o ) > $i ).
thf(func_def_369,type,
sK100: $i > $o ).
thf(func_def_373,type,
sK104: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_374,type,
sK105: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_375,type,
sK106: $i > $o ).
thf(func_def_376,type,
sK107: $i > $o ).
thf(func_def_384,type,
sK115: $i > $o ).
thf(func_def_386,type,
sK117: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_387,type,
sK118: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_388,type,
sK119: $i > $o ).
thf(func_def_390,type,
sK121: $i > ( $i > $o ) > $i ).
thf(func_def_391,type,
sK122: $i > $i > $o ).
thf(func_def_395,type,
sK126: $i > $i ).
thf(func_def_396,type,
sK127: $o ).
thf(func_def_398,type,
sK129: $i > $o ).
thf(func_def_401,type,
sK132: $i > ( $i > $o ) > $i ).
thf(func_def_402,type,
sK133: ( $i > $o ) > $i ).
thf(func_def_403,type,
sK134: $i > $o ).
thf(func_def_404,type,
sK135: $i > $i ).
thf(func_def_411,type,
sK142: ( $i > $i ) > $i > $i > $i ).
thf(func_def_414,type,
sK145: $i > $i ).
thf(func_def_417,type,
sK148: $i > $o ).
thf(func_def_419,type,
sK150: ( $i > $o ) > $i > $i ).
thf(func_def_420,type,
sK151: ( $i > $o ) > $i > $i ).
thf(func_def_431,type,
sK162: $i > $i > $o ).
thf(func_def_437,type,
sK168: $i > $i > $o ).
thf(func_def_449,type,
sK180: $i > $i > $i ).
thf(func_def_450,type,
sK181: $i > $i > $i ).
thf(func_def_451,type,
sK182: $i > $i > $i ).
thf(func_def_452,type,
sK183: $i > $i > $i ).
thf(func_def_453,type,
sK184: $i > $i > $i > $i ).
thf(func_def_454,type,
sK185: $i > $i ).
thf(func_def_455,type,
sK186: $i > $i ).
thf(func_def_456,type,
sK187: $i > $i ).
thf(func_def_457,type,
sK188: $i > $i ).
thf(func_def_458,type,
sK189: $i > $i > $i ).
thf(func_def_459,type,
sK190: $i > $i > $i > $i ).
thf(func_def_460,type,
sK191: $i > $i > $i > $i ).
thf(func_def_461,type,
sK192: $i > $i > $i ).
thf(func_def_462,type,
sK193: $i > $i > $i ).
thf(func_def_464,type,
sK195: $i > $i ).
thf(func_def_465,type,
sK196: $i > $i ).
thf(func_def_466,type,
sK197: $i > $i ).
thf(func_def_467,type,
sK198: $i > $i > $i ).
thf(func_def_472,type,
sK203: $i > $o ).
thf(func_def_480,type,
sK211: $i > $i > $o ).
thf(func_def_487,type,
sK218: $i > $i > $o ).
thf(func_def_507,type,
sK238: $i > $i > $i ).
thf(func_def_513,type,
sK244: $i > $i ).
thf(func_def_514,type,
sK245: ( $i > $i ) > $i > $i > $i ).
thf(func_def_521,type,
sK252: $i > $i ).
thf(func_def_523,type,
sK254: $i > $i ).
thf(func_def_530,type,
sK261: $i > $o ).
thf(func_def_542,type,
sK273: $i > $i > $i > $i > $i ).
thf(func_def_543,type,
sK274: $i > $i > $i > $i > $i ).
thf(func_def_544,type,
sK275: $i > $i > $i > $i > $i ).
thf(func_def_545,type,
sK276: $i > $i > $i > $i > $i ).
thf(func_def_548,type,
sK279: $i > $i > $o ).
thf(func_def_554,type,
sK285: $i > $i ).
thf(func_def_566,type,
sK297: $i > $o ).
thf(func_def_567,type,
sK298: $i > $i ).
thf(func_def_568,type,
sK299: ( $i > $o ) > $i ).
thf(func_def_579,type,
sK310: $i > $o ).
thf(func_def_581,type,
sK312: $i > ( $i > $o ) > $i ).
thf(func_def_582,type,
sK313: ( $i > $i ) > $i > $i > $i ).
thf(func_def_585,type,
sK316: $i > $i ).
thf(func_def_586,type,
sK317: $o > $i > $i > $i ).
thf(func_def_589,type,
sK320: $o ).
thf(func_def_593,type,
sK324: $o ).
thf(func_def_602,type,
sK333: $i > ( $i > $i ) > $i > $i ).
thf(func_def_604,type,
sK335: $i > $i ).
thf(func_def_607,type,
sK338: $i > $i > $i ).
thf(func_def_615,type,
sK346: $i > $o ).
thf(func_def_617,type,
sK348: ( $i > $o ) > $i > $i ).
thf(func_def_623,type,
sK354: ( $i > $o ) > $i > $i ).
thf(func_def_625,type,
sK356: $i > $o ).
thf(func_def_643,type,
sK374: $i > $i > $i ).
thf(func_def_651,type,
sK382: $i > $i > $i ).
thf(func_def_652,type,
sK383: $i > $i > $i ).
thf(func_def_657,type,
sK388: $i > $i > $i > $i > $i ).
thf(func_def_662,type,
sK393: $i > $i > $i ).
thf(func_def_669,type,
sK400: $i > $o ).
thf(func_def_671,type,
sK402: ( $i > $o ) > $i ).
thf(func_def_672,type,
sK403: ( $i > $o ) > $i ).
thf(func_def_679,type,
sK410: $i > $o ).
thf(func_def_681,type,
sK412: $i > $o ).
thf(func_def_688,type,
sK419: $i > $i ).
thf(func_def_734,type,
sK465: $i > $o ).
thf(func_def_736,type,
sK467: ( $i > $o ) > $i > $i ).
thf(func_def_756,type,
sK487: $i > $o ).
thf(func_def_758,type,
sK489: $i > ( $i > $o ) > $i ).
thf(func_def_759,type,
sK490: $i > $o ).
thf(func_def_766,type,
sK497: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_767,type,
sK498: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_768,type,
sK499: $i > $o ).
thf(func_def_769,type,
sK500: $i > $o ).
thf(func_def_773,type,
sK504: $i > $o ).
thf(func_def_776,type,
sK507: $i > ( $i > $o ) > $i ).
thf(func_def_778,type,
sK509: $i > $o ).
thf(func_def_779,type,
sK510: ( $i > $o ) > $i > $i ).
thf(func_def_786,type,
sK517: $i > $i > $i > $i > $i ).
thf(func_def_787,type,
sK518: $i > $i > $i > $i > $i ).
thf(func_def_800,type,
sK531: $i > $i ).
thf(func_def_802,type,
sK533: $i > ( $i > $o ) > $i > $i ).
thf(func_def_804,type,
sK535: $i > $o ).
thf(func_def_809,type,
sK540: $o ).
thf(func_def_813,type,
sK544: $i > $i > $i > $i ).
thf(func_def_814,type,
sK545: $i > $i > $i > $i ).
thf(func_def_826,type,
sK557: $i > $i > $o ).
thf(func_def_827,type,
sK558: $i > $i ).
thf(func_def_828,type,
sK559: $i > $i ).
thf(func_def_829,type,
sK560: ( $i > $i > $o ) > $i > $i ).
thf(func_def_830,type,
sK561: ( $i > $i > $o ) > $i > $i ).
thf(func_def_831,type,
sK562: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_838,type,
sK569: $o ).
thf(func_def_842,type,
sK573: $i > $i > $i ).
thf(func_def_844,type,
sK575: $i > $o ).
thf(func_def_857,type,
sK588: $i > $i > $i > $i > $i ).
thf(func_def_869,type,
sK600: $i > $o ).
thf(func_def_871,type,
sK602: $i > $i > $i ).
thf(func_def_877,type,
sK608: $i > $o ).
thf(func_def_879,type,
sK610: ( $i > $o ) > $i > $i ).
thf(func_def_880,type,
sK611: ( $i > $o ) > $i > $i ).
thf(func_def_886,type,
sK617: $i > $i ).
thf(func_def_903,type,
sK634: $o ).
thf(func_def_907,type,
sK638: $i > $o ).
thf(func_def_915,type,
sK646: ( $i > $i ) > $i > $i > $i ).
thf(func_def_918,type,
sK649: $i > $i ).
thf(func_def_927,type,
sK658: $o ).
thf(func_def_931,type,
sK662: $o ).
thf(func_def_935,type,
sK666: $o ).
thf(func_def_936,type,
sK667: $i > $o ).
thf(func_def_939,type,
sK670: $i > $o ).
thf(f14,axiom,
! [X0: $i,X2: $i,X1: $i > $o] :
( ( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) )
= dsetconstrI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(f224,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
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ! [X1: $o,X2: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( X1
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X4: $i] :
( ( ( X4 = X2 )
& X1 )
| ( ~ X1
& ( X4 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iftrueProp1) ).
thf(f225,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
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ! [X1: $o,X2: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( X1
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X4: $i] :
( ( ( X4 = X2 )
& X1 )
| ( ~ X1
& ( X4 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f224]) ).
thf(f342,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X1 @ X0 )
=> ( ( X2 @ X1 )
=> ( in @ X1
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X2 @ X3 ) ) ) ) )
= dsetconstrI ),
inference(rectify,[],[f14]) ).
thf(f343,plain,
( ! [X2: $i > $o,X1: $i,X0: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( ( X2 @ X1 )
= $true )
=> ( ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true ) ) )
<=> ( dsetconstrI = $true ) ),
inference(fool_elimination,[],[f342]) ).
thf(f366,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
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ! [X0: $o,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( X0
=> ( in @ X1
@ ( dsetconstr @ X2
@ ^ [X4: $i] :
( ( ( X1 = X4 )
& X0 )
| ( ~ X0
& ( X4 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f225]) ).
thf(f367,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 )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ! [X0: $o,X2: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
=> ( ( $true = X0 )
=> ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] :
( ( ( X3 = Y0 )
& ~ X0 )
| ( X0
& ( X1 = Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f366]) ).
thf(f751,plain,
( ? [X0: $o,X2: $i,X1: $i] :
( ? [X3: $i] :
( ( $true
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] :
( ( ( X3 = Y0 )
& ~ X0 )
| ( X0
& ( X1 = Y0 ) ) ) ) ) )
& ( $true = X0 )
& ( ( in @ X3 @ X2 )
= $true ) )
& ( ( in @ X1 @ X2 )
= $true ) )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $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,[],[f367]) ).
thf(f752,plain,
( ( setOfPairsIsBReln = $true )
& ( apProp = $true )
& ( setukpairIL = $true )
& ( setukpairinjR11 = $true )
& ( notequalI2 = $true )
& ( exuI2 = $true )
& ( kfstpairEq = $true )
& ( kpairp = $true )
& ( ksndpairEq = $true )
& ( binintersectLsub = $true )
& ( beta2 = $true )
& ( exuE1 = $true )
& ( upairset2IR = $true )
& ( powersetI = $true )
& ( in__Cong = $true )
& ( foundationAx = $true )
& ( upairinpowunion = $true )
& ( prop2setI = $true )
& ( powersetE = $true )
& ( descr__Cong = $true )
& ( singletonsswitch = $true )
& ( powersetsubset = $true )
& ( dpsetconstrER = $true )
& ( subsetI1 = $true )
& ( subsetI2 = $true )
& ( subbreln = $true )
& ( setunionsingleton = $true )
& ( binintersectRsub = $true )
& ( exu__Cong = $true )
& ( symdiffI2 = $true )
& ( dpsetconstrEL2 = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan3 = $true )
& ( omega0Ax = $true )
& ( setext = $true )
& ( emptyinPowerset = $true )
& ( setadjoin__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinSub2 = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( exuI3 = $true )
& ( nonemptyI = $true )
& ( setminusILneg = $true )
& ( emptysetAx = $true )
& ( cartprodfstpairEq = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( eqinunit = $true )
& ( binintersectI = $true )
& ( app = $true )
& ( funcext = $true )
& ( lamp = $true )
& ( binintersectEL = $true )
& ( subsetemptysetimpeq = $true )
& ( lamProp = $true )
& ( setukpairinjR2 = $true )
& ( brelnall2 = $true )
& ( cartprodsndin = $true )
& ( setukpairIR = $true )
& ( secondinupair = $true )
& ( upairsubunion = $true )
& ( setoftrueEq = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsuniq = $true )
& ( cartprodpairmemER = $true )
& ( funcinfuncset = $true )
& ( emptysetE = $true )
& ( setminusELneg = $true )
& ( emptyI = $true )
& ( iffalseProp1 = $true )
& ( disjointsetsI1 = $true )
& ( emptyE1 = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( binunionEcases = $true )
& ( setunionAx = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( sepInPowerset = $true )
& ( funcextLem = $true )
& ( notequalI1 = $true )
& ( subsetRefl = $true )
& ( binintersectSubset1 = $true )
& ( setminusSubset1 = $true )
& ( noeltsimpempty = $true )
& ( setukpairinjL = $true )
& ( cartprodmempaircEq = $true )
& ( ap2apEq1 = $true )
& ( upairsetIL = $true )
& ( funcGraphProp4 = $true )
& ( setadjoinIL = $true )
& ( lam2lamEq = $true )
& ( symdiffIneg2 = $true )
& ( binintersectSubset5 = $true )
& ( subPowSU = $true )
& ( eqimpsubset2 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( setadjoinSub = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( setminusLsub = $true )
& ( eqimpsubset1 = $true )
& ( subsetE2 = $true )
& ( setadjoinOr = $true )
& ( setminusER = $true )
& ( symdiffE = $true )
& ( kpairiskpair = $true )
& ( setunion__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( cartprodfstin = $true )
& ( emptysetsubset = $true )
& ( setminusEL = $true )
& ( descrp = $true )
& ( uniqinunit = $true )
& ( kpairsurjEq = $true )
& ( binunionIR = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( cartprodsndpairEq = $true )
& ( emptyset__Cong = $true )
& ( setukpairinjR = $true )
& ( exuE3e = $true )
& ( sepSubset = $true )
& ( binunionLsub = $true )
& ( funcGraphProp3 = $true )
& ( binintersectSubset4 = $true )
& ( setminusIRneg = $true )
& ( funcext2 = $true )
& ( exuE3u = $true )
& ( bs114d = $true )
& ( quantDeMorgan1 = $true )
& ( exuI1 = $true )
& ( singletonsubset = $true )
& ( binintersectER = $true )
& ( kfstsingleton = $true )
& ( singletoninpowerset = $true )
& ( setadjoinE = $true )
& ( binunionIL = $true )
& ( notsubsetI = $true )
& ( ksndsingleton = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( setminusERneg = $true )
& ( exuEu = $true )
& ( upairequniteq = $true )
& ( ubforcartprodlem2 = $true )
& ( notdallE = $true )
& ( ap2apEq2 = $true )
& ( funcImageSingleton = $true )
& ( prop2set2propI = $true )
& ( binintersectSubset2 = $true )
& ( eqbreln = $true )
& ? [X1: $i,X2: $i,X0: $o] :
( ? [X3: $i] :
( ( $true
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] :
( ( ( X3 = Y0 )
& ~ X0 )
| ( X0
& ( X1 = Y0 ) ) ) ) ) )
& ( ( in @ X3 @ X2 )
= $true )
& ( $true = X0 ) )
& ( ( in @ X1 @ X2 )
= $true ) )
& ( singletonprop = $true )
& ( symdiffIneg1 = $true )
& ( ex1E2 = $true )
& ( subset2powerset = $true )
& ( quantDeMorgan4 = $true )
& ( dpsetconstrSub = $true )
& ( setukpairinjL2 = $true )
& ( ap2p = $true )
& ( eta2 = $true )
& ( brelnall1 = $true )
& ( exuE2 = $true )
& ( vacuousDall = $true )
& ( ex1E1 = $true )
& ( cartprodpairin = $true )
& ( inCongP = $true )
& ( funcGraphProp2 = $true )
& ( notinsingleton = $true )
& ( dpsetconstrERa = $true )
& ( cartprodmempair1 = $true )
& ( setunionE = $true )
& ( nonemptyI1 = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( setadjoinIR = $true )
& ( cartprodpairmemEL = $true )
& ( ubforcartprodlem3 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempair = $true )
& ( subsetTrans = $true )
& ( prop2setE = $true )
& ( dsetconstrER = $true )
& ( emptyInPowerset = $true )
& ( funcGraphProp1 = $true )
& ( setukpairinjR12 = $true )
& ( powersetAx = $true )
& ( dpsetconstrEL1 = $true )
& ( nonemptyImpWitness = $true )
& ( powersetE1 = $true )
& ( setunionsingleton2 = $true )
& ( wellorderingAx = $true )
& ( ubforcartprodlem1 = $true )
& ( setextAx = $true )
& ( infuncsetfunc = $true )
& ( powersetI1 = $true )
& ( nonemptyE1 = $true )
& ( setextsub = $true )
& ( notdexE = $true )
& ( upairset2E = $true )
& ( subsetE = $true )
& ( omegaIndAx = $true )
& ( binunionRsub = $true )
& ( emptyinunitempty = $true )
& ( eta1 = $true )
& ( notinemptyset = $true )
& ( ex1I = $true )
& ( lam2p = $true )
& ( beta1 = $true )
& ( ex1I2 = $true ) ),
inference(flattening,[],[f751]) ).
thf(f828,plain,
( ! [X2: $i > $o,X1: $i,X0: $i] :
( ( ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
| ( ( X2 @ X1 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true ) )
<=> ( dsetconstrI = $true ) ),
inference(ennf_transformation,[],[f343]) ).
thf(f829,plain,
( ! [X2: $i > $o,X0: $i,X1: $i] :
( ( ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( X2 @ X1 )
!= $true ) )
<=> ( dsetconstrI = $true ) ),
inference(flattening,[],[f828]) ).
thf(f1497,plain,
( ( setOfPairsIsBReln = $true )
& ( apProp = $true )
& ( setukpairIL = $true )
& ( setukpairinjR11 = $true )
& ( notequalI2 = $true )
& ( exuI2 = $true )
& ( kfstpairEq = $true )
& ( kpairp = $true )
& ( ksndpairEq = $true )
& ( binintersectLsub = $true )
& ( beta2 = $true )
& ( exuE1 = $true )
& ( upairset2IR = $true )
& ( powersetI = $true )
& ( in__Cong = $true )
& ( foundationAx = $true )
& ( upairinpowunion = $true )
& ( prop2setI = $true )
& ( powersetE = $true )
& ( descr__Cong = $true )
& ( singletonsswitch = $true )
& ( powersetsubset = $true )
& ( dpsetconstrER = $true )
& ( subsetI1 = $true )
& ( subsetI2 = $true )
& ( subbreln = $true )
& ( setunionsingleton = $true )
& ( binintersectRsub = $true )
& ( exu__Cong = $true )
& ( symdiffI2 = $true )
& ( dpsetconstrEL2 = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan3 = $true )
& ( omega0Ax = $true )
& ( setext = $true )
& ( emptyinPowerset = $true )
& ( setadjoin__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinSub2 = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( exuI3 = $true )
& ( nonemptyI = $true )
& ( setminusILneg = $true )
& ( emptysetAx = $true )
& ( cartprodfstpairEq = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( eqinunit = $true )
& ( binintersectI = $true )
& ( app = $true )
& ( funcext = $true )
& ( lamp = $true )
& ( binintersectEL = $true )
& ( subsetemptysetimpeq = $true )
& ( lamProp = $true )
& ( setukpairinjR2 = $true )
& ( brelnall2 = $true )
& ( cartprodsndin = $true )
& ( setukpairIR = $true )
& ( secondinupair = $true )
& ( upairsubunion = $true )
& ( setoftrueEq = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsuniq = $true )
& ( cartprodpairmemER = $true )
& ( funcinfuncset = $true )
& ( emptysetE = $true )
& ( setminusELneg = $true )
& ( emptyI = $true )
& ( iffalseProp1 = $true )
& ( disjointsetsI1 = $true )
& ( emptyE1 = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( binunionEcases = $true )
& ( setunionAx = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( sepInPowerset = $true )
& ( funcextLem = $true )
& ( notequalI1 = $true )
& ( subsetRefl = $true )
& ( binintersectSubset1 = $true )
& ( setminusSubset1 = $true )
& ( noeltsimpempty = $true )
& ( setukpairinjL = $true )
& ( cartprodmempaircEq = $true )
& ( ap2apEq1 = $true )
& ( upairsetIL = $true )
& ( funcGraphProp4 = $true )
& ( setadjoinIL = $true )
& ( lam2lamEq = $true )
& ( symdiffIneg2 = $true )
& ( binintersectSubset5 = $true )
& ( subPowSU = $true )
& ( eqimpsubset2 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( setadjoinSub = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( setminusLsub = $true )
& ( eqimpsubset1 = $true )
& ( subsetE2 = $true )
& ( setadjoinOr = $true )
& ( setminusER = $true )
& ( symdiffE = $true )
& ( kpairiskpair = $true )
& ( setunion__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( cartprodfstin = $true )
& ( emptysetsubset = $true )
& ( setminusEL = $true )
& ( descrp = $true )
& ( uniqinunit = $true )
& ( kpairsurjEq = $true )
& ( binunionIR = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( cartprodsndpairEq = $true )
& ( emptyset__Cong = $true )
& ( setukpairinjR = $true )
& ( exuE3e = $true )
& ( sepSubset = $true )
& ( binunionLsub = $true )
& ( funcGraphProp3 = $true )
& ( binintersectSubset4 = $true )
& ( setminusIRneg = $true )
& ( funcext2 = $true )
& ( exuE3u = $true )
& ( bs114d = $true )
& ( quantDeMorgan1 = $true )
& ( exuI1 = $true )
& ( singletonsubset = $true )
& ( binintersectER = $true )
& ( kfstsingleton = $true )
& ( singletoninpowerset = $true )
& ( setadjoinE = $true )
& ( binunionIL = $true )
& ( notsubsetI = $true )
& ( ksndsingleton = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( setminusERneg = $true )
& ( exuEu = $true )
& ( upairequniteq = $true )
& ( ubforcartprodlem2 = $true )
& ( notdallE = $true )
& ( ap2apEq2 = $true )
& ( funcImageSingleton = $true )
& ( prop2set2propI = $true )
& ( binintersectSubset2 = $true )
& ( eqbreln = $true )
& ? [X0: $i,X1: $i,X2: $o] :
( ? [X3: $i] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( ( X3 = Y0 )
& ~ X2 )
| ( X2
& ( X0 = Y0 ) ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true )
& ( $true = X2 ) )
& ( ( in @ X0 @ X1 )
= $true ) )
& ( singletonprop = $true )
& ( symdiffIneg1 = $true )
& ( ex1E2 = $true )
& ( subset2powerset = $true )
& ( quantDeMorgan4 = $true )
& ( dpsetconstrSub = $true )
& ( setukpairinjL2 = $true )
& ( ap2p = $true )
& ( eta2 = $true )
& ( brelnall1 = $true )
& ( exuE2 = $true )
& ( vacuousDall = $true )
& ( ex1E1 = $true )
& ( cartprodpairin = $true )
& ( inCongP = $true )
& ( funcGraphProp2 = $true )
& ( notinsingleton = $true )
& ( dpsetconstrERa = $true )
& ( cartprodmempair1 = $true )
& ( setunionE = $true )
& ( nonemptyI1 = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( setadjoinIR = $true )
& ( cartprodpairmemEL = $true )
& ( ubforcartprodlem3 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempair = $true )
& ( subsetTrans = $true )
& ( prop2setE = $true )
& ( dsetconstrER = $true )
& ( emptyInPowerset = $true )
& ( funcGraphProp1 = $true )
& ( setukpairinjR12 = $true )
& ( powersetAx = $true )
& ( dpsetconstrEL1 = $true )
& ( nonemptyImpWitness = $true )
& ( powersetE1 = $true )
& ( setunionsingleton2 = $true )
& ( wellorderingAx = $true )
& ( ubforcartprodlem1 = $true )
& ( setextAx = $true )
& ( infuncsetfunc = $true )
& ( powersetI1 = $true )
& ( nonemptyE1 = $true )
& ( setextsub = $true )
& ( notdexE = $true )
& ( upairset2E = $true )
& ( subsetE = $true )
& ( omegaIndAx = $true )
& ( binunionRsub = $true )
& ( emptyinunitempty = $true )
& ( eta1 = $true )
& ( notinemptyset = $true )
& ( ex1I = $true )
& ( lam2p = $true )
& ( beta1 = $true )
& ( ex1I2 = $true ) ),
inference(rectify,[],[f752]) ).
thf(f1498,plain,
( ( setOfPairsIsBReln = $true )
& ( apProp = $true )
& ( setukpairIL = $true )
& ( setukpairinjR11 = $true )
& ( notequalI2 = $true )
& ( exuI2 = $true )
& ( kfstpairEq = $true )
& ( kpairp = $true )
& ( ksndpairEq = $true )
& ( binintersectLsub = $true )
& ( beta2 = $true )
& ( exuE1 = $true )
& ( upairset2IR = $true )
& ( powersetI = $true )
& ( in__Cong = $true )
& ( foundationAx = $true )
& ( upairinpowunion = $true )
& ( prop2setI = $true )
& ( powersetE = $true )
& ( descr__Cong = $true )
& ( singletonsswitch = $true )
& ( powersetsubset = $true )
& ( dpsetconstrER = $true )
& ( subsetI1 = $true )
& ( subsetI2 = $true )
& ( subbreln = $true )
& ( setunionsingleton = $true )
& ( binintersectRsub = $true )
& ( exu__Cong = $true )
& ( symdiffI2 = $true )
& ( dpsetconstrEL2 = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan3 = $true )
& ( omega0Ax = $true )
& ( setext = $true )
& ( emptyinPowerset = $true )
& ( setadjoin__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinSub2 = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( exuI3 = $true )
& ( nonemptyI = $true )
& ( setminusILneg = $true )
& ( emptysetAx = $true )
& ( cartprodfstpairEq = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( eqinunit = $true )
& ( binintersectI = $true )
& ( app = $true )
& ( funcext = $true )
& ( lamp = $true )
& ( binintersectEL = $true )
& ( subsetemptysetimpeq = $true )
& ( lamProp = $true )
& ( setukpairinjR2 = $true )
& ( brelnall2 = $true )
& ( cartprodsndin = $true )
& ( setukpairIR = $true )
& ( secondinupair = $true )
& ( upairsubunion = $true )
& ( setoftrueEq = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsuniq = $true )
& ( cartprodpairmemER = $true )
& ( funcinfuncset = $true )
& ( emptysetE = $true )
& ( setminusELneg = $true )
& ( emptyI = $true )
& ( iffalseProp1 = $true )
& ( disjointsetsI1 = $true )
& ( emptyE1 = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( binunionEcases = $true )
& ( setunionAx = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( sepInPowerset = $true )
& ( funcextLem = $true )
& ( notequalI1 = $true )
& ( subsetRefl = $true )
& ( binintersectSubset1 = $true )
& ( setminusSubset1 = $true )
& ( noeltsimpempty = $true )
& ( setukpairinjL = $true )
& ( cartprodmempaircEq = $true )
& ( ap2apEq1 = $true )
& ( upairsetIL = $true )
& ( funcGraphProp4 = $true )
& ( setadjoinIL = $true )
& ( lam2lamEq = $true )
& ( symdiffIneg2 = $true )
& ( binintersectSubset5 = $true )
& ( subPowSU = $true )
& ( eqimpsubset2 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( setadjoinSub = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( setminusLsub = $true )
& ( eqimpsubset1 = $true )
& ( subsetE2 = $true )
& ( setadjoinOr = $true )
& ( setminusER = $true )
& ( symdiffE = $true )
& ( kpairiskpair = $true )
& ( setunion__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( cartprodfstin = $true )
& ( emptysetsubset = $true )
& ( setminusEL = $true )
& ( descrp = $true )
& ( uniqinunit = $true )
& ( kpairsurjEq = $true )
& ( binunionIR = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( cartprodsndpairEq = $true )
& ( emptyset__Cong = $true )
& ( setukpairinjR = $true )
& ( exuE3e = $true )
& ( sepSubset = $true )
& ( binunionLsub = $true )
& ( funcGraphProp3 = $true )
& ( binintersectSubset4 = $true )
& ( setminusIRneg = $true )
& ( funcext2 = $true )
& ( exuE3u = $true )
& ( bs114d = $true )
& ( quantDeMorgan1 = $true )
& ( exuI1 = $true )
& ( singletonsubset = $true )
& ( binintersectER = $true )
& ( kfstsingleton = $true )
& ( singletoninpowerset = $true )
& ( setadjoinE = $true )
& ( binunionIL = $true )
& ( notsubsetI = $true )
& ( ksndsingleton = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( setminusERneg = $true )
& ( exuEu = $true )
& ( upairequniteq = $true )
& ( ubforcartprodlem2 = $true )
& ( notdallE = $true )
& ( ap2apEq2 = $true )
& ( funcImageSingleton = $true )
& ( prop2set2propI = $true )
& ( binintersectSubset2 = $true )
& ( eqbreln = $true )
& ( ( in @ sK567
@ ( dsetconstr @ sK568
@ ^ [Y0: $i] :
( ( ( sK570 = Y0 )
& ~ sK569 )
| ( sK569
& ( sK567 = Y0 ) ) ) ) )
!= $true )
& ( $true
= ( in @ sK570 @ sK568 ) )
& ( sK569 = $true )
& ( ( in @ sK567 @ sK568 )
= $true )
& ( singletonprop = $true )
& ( symdiffIneg1 = $true )
& ( ex1E2 = $true )
& ( subset2powerset = $true )
& ( quantDeMorgan4 = $true )
& ( dpsetconstrSub = $true )
& ( setukpairinjL2 = $true )
& ( ap2p = $true )
& ( eta2 = $true )
& ( brelnall1 = $true )
& ( exuE2 = $true )
& ( vacuousDall = $true )
& ( ex1E1 = $true )
& ( cartprodpairin = $true )
& ( inCongP = $true )
& ( funcGraphProp2 = $true )
& ( notinsingleton = $true )
& ( dpsetconstrERa = $true )
& ( cartprodmempair1 = $true )
& ( setunionE = $true )
& ( nonemptyI1 = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( setadjoinIR = $true )
& ( cartprodpairmemEL = $true )
& ( ubforcartprodlem3 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodmempair = $true )
& ( subsetTrans = $true )
& ( prop2setE = $true )
& ( dsetconstrER = $true )
& ( emptyInPowerset = $true )
& ( funcGraphProp1 = $true )
& ( setukpairinjR12 = $true )
& ( powersetAx = $true )
& ( dpsetconstrEL1 = $true )
& ( nonemptyImpWitness = $true )
& ( powersetE1 = $true )
& ( setunionsingleton2 = $true )
& ( wellorderingAx = $true )
& ( ubforcartprodlem1 = $true )
& ( setextAx = $true )
& ( infuncsetfunc = $true )
& ( powersetI1 = $true )
& ( nonemptyE1 = $true )
& ( setextsub = $true )
& ( notdexE = $true )
& ( upairset2E = $true )
& ( subsetE = $true )
& ( omegaIndAx = $true )
& ( binunionRsub = $true )
& ( emptyinunitempty = $true )
& ( eta1 = $true )
& ( notinemptyset = $true )
& ( ex1I = $true )
& ( lam2p = $true )
& ( beta1 = $true )
& ( ex1I2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK567,sK568,sK569,sK570]),skolemize(X0,sK567),skolemize(X1,sK568),skolemize(X2,sK569),skolemize(X3,sK570)],[f1497]) ).
thf(f1577,plain,
( ( ! [X2: $i > $o,X0: $i,X1: $i] :
( ( ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( X2 @ X1 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ? [X2: $i > $o,X0: $i,X1: $i] :
( ( ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true )
& ( ( X2 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f829]) ).
thf(f1578,plain,
( ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X2
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( ( X0 @ X2 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ? [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X5
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) )
!= $true )
& ( $true
= ( in @ X5 @ X4 ) )
& ( ( X3 @ X5 )
= $true ) ) ) ),
inference(rectify,[],[f1577]) ).
thf(f1579,plain,
( ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X2
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( ( X0 @ X2 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ( ( ( in @ sK640
@ ( dsetconstr @ sK639
@ ^ [Y0: $i] : ( sK638 @ Y0 ) ) )
!= $true )
& ( ( in @ sK640 @ sK639 )
= $true )
& ( ( sK638 @ sK640 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK638,sK639,sK640]),skolemize(X3,sK638),skolemize(X4,sK639),skolemize(X5,sK640)],[f1578]) ).
thf(f2398,plain,
( ( in @ sK567 @ sK568 )
= $true ),
inference(cnf_transformation,[],[f1498]) ).
thf(f2399,plain,
sK569 = $true,
inference(cnf_transformation,[],[f1498]) ).
thf(f2401,plain,
( ( in @ sK567
@ ( dsetconstr @ sK568
@ ^ [Y0: $i] :
( ( ( sK570 = Y0 )
& ~ sK569 )
| ( sK569
& ( sK567 = Y0 ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f1498]) ).
thf(f2511,plain,
dsetconstrI = $true,
inference(cnf_transformation,[],[f1498]) ).
thf(f2663,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( X0 @ X2 )
!= $true )
| ( ( in @ X2
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( dsetconstrI != $true ) ),
inference(cnf_transformation,[],[f1579]) ).
thf(f2790,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( in @ X2 @ ( dsetconstr @ X1 @ X0 ) )
= $true )
| ( ( X0 @ X2 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( dsetconstrI != $true ) ),
inference(beta-eta_normalization,[],[f2663]) ).
thf(f2892,plain,
( ( $true != $true )
| ( dsetconstrI != $true )
| ( ( ^ [Y0: $i] :
( ( ( sK570 = Y0 )
& ~ sK569 )
| ( sK569
& ( sK567 = Y0 ) ) )
@ sK567 )
!= $true )
| ( ( in @ sK567 @ sK568 )
!= $true ) ),
inference(constrained_superposition,[],[f2401,f2790]) ).
thf(f2899,plain,
( ( dsetconstrI != $true )
| ( ( in @ sK567 @ sK568 )
!= $true )
| ( ( ^ [Y0: $i] :
( ( ( sK570 = Y0 )
& ~ sK569 )
| ( sK569
& ( sK567 = Y0 ) ) )
@ sK567 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2892]) ).
thf(f2900,plain,
( ( ( ( ( sK570 = sK567 )
& ~ sK569 )
| ( sK569
& ( sK567 = sK567 ) ) )
!= $true )
| ( ( in @ sK567 @ sK568 )
!= $true )
| ( dsetconstrI != $true ) ),
inference(beta-eta_normalization,[],[f2899]) ).
thf(f2901,plain,
( ( dsetconstrI != $true )
| ( ( sK569
& ( sK567 = sK567 ) )
= $false )
| ( ( in @ sK567 @ sK568 )
!= $true ) ),
inference(or_proxy_clausification,[],[f2900]) ).
thf(f2906,plain,
( ( sK569 = $false )
| ( ( in @ sK567 @ sK568 )
!= $true )
| ( ( sK567 = sK567 )
= $false )
| ( dsetconstrI != $true ) ),
inference(and_proxy_clausification,[],[f2901]) ).
thf(f2907,plain,
( ( dsetconstrI != $true )
| ( sK567 != sK567 )
| ( sK569 = $false )
| ( ( in @ sK567 @ sK568 )
!= $true ) ),
inference(equality_proxy_clausification,[],[f2906]) ).
thf(f2908,plain,
( ( dsetconstrI != $true )
| ( ( in @ sK567 @ sK568 )
!= $true )
| ( sK569 = $false ) ),
inference(trivial_inequality_removal,[],[f2907]) ).
thf(f2970,plain,
( ( ( in @ sK567 @ sK568 )
!= $true )
| ( sK569 = $false ) ),
inference(forward_subsumption_resolution,[],[f2908,f2511]) ).
thf(f2981,plain,
sK569 = $false,
inference(forward_subsumption_resolution,[],[f2970,f2398]) ).
thf(f3125,plain,
$true = $false,
inference(constrained_superposition,[],[f2399,f2981]) ).
thf(f3127,plain,
$false,
inference(trivial_inequality_removal,[],[f3125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU702^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n001.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 14:18:05 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.26 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
% 0.23/0.40 % (1309074)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.40 % (1309083)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3805691138:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.40 % (1309085)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.40 % (1309085)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
% 0.23/0.40 % (1309083)Instruction limit reached!
% 0.23/0.40 % (1309083)------------------------------
% 0.23/0.40 % (1309083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (1309083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (1309083)CaDiCaL version: 2.1.3
% 0.23/0.40 % (1309083)Termination reason: Instruction limit
% 0.23/0.40 % (1309083)Termination phase: Property scanning
% 0.23/0.40 % (1309083)Time elapsed: 0.006 s
% 0.23/0.40 % (1309083)Peak memory usage: 10 MB
% 0.23/0.40 % (1309083)Instructions burned: 25 (million)
% 0.23/0.40 % (1309084)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3580034624:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.40 % (1309081)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=912048255:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.40 % (1309079)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1669760626:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.40 % (1309080)lrs+10_16_si=on:nwc=1.5:random_seed=3999522945:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (1309085)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=2932243718:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.40 % (1309082)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=572633561: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)
% 0.23/0.40 % (1309081)Instruction limit reached!
% 0.23/0.40 % (1309081)------------------------------
% 0.23/0.40 % (1309081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (1309081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (1309081)CaDiCaL version: 2.1.3
% 0.23/0.40 % (1309081)Termination reason: Instruction limit
% 0.23/0.40 % (1309081)Termination phase: shuffling
% 0.23/0.40 % (1309081)Time elapsed: 0.002 s
% 0.23/0.40 % (1309081)Peak memory usage: 10 MB
% 0.23/0.40 % (1309081)Instructions burned: 3 (million)
% 0.23/0.40 % (1309080)Instruction limit reached!
% 0.23/0.40 % (1309080)------------------------------
% 0.23/0.40 % (1309080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (1309080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (1309080)CaDiCaL version: 2.1.3
% 0.23/0.40 % (1309080)Termination reason: Instruction limit
% 0.23/0.40 % (1309080)Termination phase: shuffling
% 0.23/0.40 % (1309080)Time elapsed: 0.009 s
% 0.23/0.40 % (1309080)Peak memory usage: 10 MB
% 0.23/0.40 % (1309080)Instructions burned: 19 (million)
% 0.23/0.40 % (1309092)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2351196151:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (1309092)Instruction limit reached!
% 0.23/0.40 % (1309092)------------------------------
% 0.23/0.40 % (1309092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (1309092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (1309092)CaDiCaL version: 2.1.3
% 0.23/0.40 % (1309092)Termination reason: Instruction limit
% 0.23/0.40 % (1309092)Termination phase: shuffling
% 0.23/0.40 % (1309092)Time elapsed: 0.002 s
% 0.23/0.40 % (1309092)Peak memory usage: 10 MB
% 0.23/0.40 % (1309092)Instructions burned: 8 (million)
% 0.23/0.40 % (1309094)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2016352943:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.44 % (1309097)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2365463317:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.44 % (1309094)Instruction limit reached!
% 0.86/0.44 % (1309094)------------------------------
% 0.86/0.44 % (1309094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.44 % (1309094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.44 % (1309094)CaDiCaL version: 2.1.3
% 0.86/0.44 % (1309094)Termination reason: Instruction limit
% 0.86/0.44 % (1309094)Termination phase: shuffling
% 0.86/0.44 % (1309094)Time elapsed: 0.004 s
% 0.86/0.44 % (1309094)Peak memory usage: 10 MB
% 0.86/0.44 % (1309094)Instructions burned: 7 (million)
% 0.86/0.44 % (1309097)Instruction limit reached!
% 0.86/0.44 % (1309097)------------------------------
% 0.86/0.44 % (1309097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.44 % (1309097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.44 % (1309097)CaDiCaL version: 2.1.3
% 0.86/0.44 % (1309097)Termination reason: Instruction limit
% 0.86/0.44 % (1309097)Termination phase: shuffling
% 0.86/0.44 % (1309097)Time elapsed: 0.003 s
% 0.86/0.44 % (1309097)Peak memory usage: 10 MB
% 0.86/0.44 % (1309097)Instructions burned: 14 (million)
% 0.86/0.44 % (1309084)Instruction limit reached!
% 0.86/0.44 % (1309084)------------------------------
% 0.86/0.44 % (1309084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.44 % (1309084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.44 % (1309084)CaDiCaL version: 2.1.3
% 0.86/0.44 % (1309084)Termination reason: Instruction limit
% 0.86/0.44 % (1309084)Termination phase: Preprocessing 3
% 0.86/0.44 % (1309084)Time elapsed: 0.036 s
% 0.86/0.44 % (1309084)Peak memory usage: 12 MB
% 0.86/0.44 % (1309084)Instructions burned: 77 (million)
% 0.86/0.44 % (1309101)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=464470525:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.44 % (1309079)Instruction limit reached!
% 0.86/0.44 % (1309079)------------------------------
% 0.86/0.44 % (1309079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.44 % (1309079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.44 % (1309079)CaDiCaL version: 2.1.3
% 0.86/0.44 % (1309079)Termination reason: Instruction limit
% 0.86/0.44 % (1309079)Termination phase: Property scanning
% 0.86/0.44 % (1309079)Time elapsed: 0.042 s
% 0.86/0.44 % (1309079)Peak memory usage: 13 MB
% 0.86/0.44 % (1309079)Instructions burned: 88 (million)
% 0.86/0.44 % (1309100)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
% 0.86/0.44 % (1309100)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.44 % (1309100)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1075610171:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.44 % (1309095)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.44 % (1309102)lrs+10_1_si=on:cs=on:random_seed=1741752859:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.44 % (1309104)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.44 % (1309101)Instruction limit reached!
% 0.86/0.44 % (1309101)------------------------------
% 0.86/0.44 % (1309101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.44 % (1309101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.44 % (1309101)CaDiCaL version: 2.1.3
% 0.86/0.44 % (1309101)Termination reason: Instruction limit
% 0.86/0.44 % (1309101)Termination phase: Property scanning
% 0.86/0.44 % (1309101)Time elapsed: 0.019 s
% 0.86/0.44 % (1309101)Peak memory usage: 11 MB
% 0.86/0.44 % (1309101)Instructions burned: 87 (million)
% 0.86/0.44 % (1309100)Instruction limit reached!
% 0.86/0.44 % (1309100)------------------------------
% 0.86/0.47 % (1309100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309100)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309100)Termination reason: Instruction limit
% 0.86/0.47 % (1309100)Termination phase: shuffling
% 0.86/0.47 % (1309100)Time elapsed: 0.013 s
% 0.86/0.47 % (1309100)Peak memory usage: 10 MB
% 0.86/0.47 % (1309100)Instructions burned: 28 (million)
% 0.86/0.47 % (1309102)Instruction limit reached!
% 0.86/0.47 % (1309102)------------------------------
% 0.86/0.47 % (1309102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309102)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309102)Termination reason: Instruction limit
% 0.86/0.47 % (1309102)Termination phase: shuffling
% 0.86/0.47 % (1309102)Time elapsed: 0.005 s
% 0.86/0.47 % (1309102)Peak memory usage: 10 MB
% 0.86/0.47 % (1309102)Instructions burned: 9 (million)
% 0.86/0.47 % (1309095)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1900347784:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.47 % (1309104)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=3542394574:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.47 % (1309104)Instruction limit reached!
% 0.86/0.47 % (1309104)------------------------------
% 0.86/0.47 % (1309104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309104)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309104)Termination reason: Instruction limit
% 0.86/0.47 % (1309104)Termination phase: shuffling
% 0.86/0.47 % (1309104)Time elapsed: 0.002 s
% 0.86/0.47 % (1309104)Peak memory usage: 10 MB
% 0.86/0.47 % (1309104)Instructions burned: 4 (million)
% 0.86/0.47 % (1309085)Instruction limit reached!
% 0.86/0.47 % (1309085)------------------------------
% 0.86/0.47 % (1309085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309085)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309085)Termination reason: Instruction limit
% 0.86/0.47 % (1309085)Termination phase: Saturation
% 0.86/0.47 % (1309085)Time elapsed: 0.068 s
% 0.86/0.47 % (1309085)Peak memory usage: 14 MB
% 0.86/0.47 % (1309085)Instructions burned: 159 (million)
% 0.86/0.47 % (1309107)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=772563989:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.86/0.47 % (1309095)Instruction limit reached!
% 0.86/0.47 % (1309095)------------------------------
% 0.86/0.47 % (1309095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309095)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309095)Termination reason: Instruction limit
% 0.86/0.47 % (1309095)Termination phase: shuffling
% 0.86/0.47 % (1309095)Time elapsed: 0.013 s
% 0.86/0.47 % (1309095)Peak memory usage: 10 MB
% 0.86/0.47 % (1309095)Instructions burned: 7 (million)
% 0.86/0.47 % (1309109)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1130158735:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.86/0.47 % (1309108)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4247777600:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.86/0.47 % (1309107)Instruction limit reached!
% 0.86/0.47 % (1309107)------------------------------
% 0.86/0.47 % (1309107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1309107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1309107)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1309107)Termination reason: Instruction limit
% 0.86/0.47 % (1309107)Termination phase: Preprocessing 1
% 0.86/0.47 % (1309107)Time elapsed: 0.010 s
% 0.86/0.47 % (1309107)Peak memory usage: 11 MB
% 0.86/0.47 % (1309107)Instructions burned: 41 (million)
% 0.86/0.47 % (1309112)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4230886309:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.59/0.56 % (1309118)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3261101255: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)
% 1.59/0.56 % (1309109)Instruction limit reached!
% 1.59/0.56 % (1309109)------------------------------
% 1.59/0.56 % (1309109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309109)CaDiCaL version: 2.1.3
% 1.59/0.56 % (1309109)Termination reason: Instruction limit
% 1.59/0.56 % (1309109)Termination phase: Property scanning
% 1.59/0.56 % (1309109)Time elapsed: 0.012 s
% 1.59/0.56 % (1309109)Peak memory usage: 10 MB
% 1.59/0.56 % (1309109)Instructions burned: 26 (million)
% 1.59/0.56 % (1309112)Instruction limit reached!
% 1.59/0.56 % (1309112)------------------------------
% 1.59/0.56 % (1309112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309112)CaDiCaL version: 2.1.3
% 1.59/0.56 % (1309112)Termination reason: Instruction limit
% 1.59/0.56 % (1309112)Termination phase: shuffling
% 1.59/0.56 % (1309112)Time elapsed: 0.007 s
% 1.59/0.56 % (1309112)Peak memory usage: 10 MB
% 1.59/0.56 % (1309112)Instructions burned: 15 (million)
% 1.59/0.56 % (1309118)Instruction limit reached!
% 1.59/0.56 % (1309118)------------------------------
% 1.59/0.56 % (1309118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309118)CaDiCaL version: 2.1.3
% 1.59/0.56 % (1309118)Termination reason: Instruction limit
% 1.59/0.56 % (1309118)Termination phase: shuffling
% 1.59/0.56 % (1309118)Time elapsed: 0.001 s
% 1.59/0.56 % (1309118)Peak memory usage: 10 MB
% 1.59/0.56 % (1309118)Instructions burned: 3 (million)
% 1.59/0.56 % (1309113)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=839365494:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.59/0.56 % (1309123)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2355894442:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.59/0.56 % (1309122)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1499125587:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.59/0.56 % (1309115)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3456690303:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.59/0.56 % (1309121)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1915730650:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.59/0.56 % (1309115)Instruction limit reached!
% 1.59/0.56 % (1309115)------------------------------
% 1.59/0.56 % (1309115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309115)CaDiCaL version: 2.1.3
% 1.59/0.56 % (1309115)Termination reason: Instruction limit
% 1.59/0.56 % (1309115)Termination phase: shuffling
% 1.59/0.56 % (1309115)Time elapsed: 0.007 s
% 1.59/0.56 % (1309115)Peak memory usage: 10 MB
% 1.59/0.56 % (1309115)Instructions burned: 15 (million)
% 1.59/0.56 % (1309123)Instruction limit reached!
% 1.59/0.56 % (1309123)------------------------------
% 1.59/0.56 % (1309123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309123)CaDiCaL version: 2.1.3
% 1.59/0.56 % (1309123)Termination reason: Instruction limit
% 1.59/0.56 % (1309123)Termination phase: Preprocessing 3
% 1.59/0.56 % (1309123)Time elapsed: 0.016 s
% 1.59/0.56 % (1309123)Peak memory usage: 12 MB
% 1.59/0.56 % (1309123)Instructions burned: 64 (million)
% 1.59/0.56 % (1309122)Instruction limit reached!
% 1.59/0.56 % (1309122)------------------------------
% 1.59/0.56 % (1309122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.56 % (1309122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.56 % (1309122)CaDiCaL version: 2.1.3
% 2.07/0.63 % (1309122)Termination reason: Instruction limit
% 2.07/0.63 % (1309122)Termination phase: shuffling
% 2.07/0.63 % (1309122)Time elapsed: 0.010 s
% 2.07/0.63 % (1309122)Peak memory usage: 10 MB
% 2.07/0.63 % (1309122)Instructions burned: 23 (million)
% 2.07/0.63 % (1309129)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
% 2.07/0.63 % (1309129)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.07/0.63 % (1309129)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=123317267:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.07/0.63 % (1309130)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.07/0.63 % (1309129)Instruction limit reached!
% 2.07/0.63 % (1309129)------------------------------
% 2.07/0.63 % (1309129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.63 % (1309129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.63 % (1309129)CaDiCaL version: 2.1.3
% 2.07/0.63 % (1309129)Termination reason: Instruction limit
% 2.07/0.63 % (1309129)Termination phase: shuffling
% 2.07/0.63 % (1309129)Time elapsed: 0.004 s
% 2.07/0.63 % (1309129)Peak memory usage: 10 MB
% 2.07/0.63 % (1309129)Instructions burned: 17 (million)
% 2.07/0.63 % (1309121)Instruction limit reached!
% 2.07/0.63 % (1309121)------------------------------
% 2.07/0.63 % (1309121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.63 % (1309121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.63 % (1309121)CaDiCaL version: 2.1.3
% 2.07/0.63 % (1309121)Termination reason: Instruction limit
% 2.07/0.63 % (1309121)Termination phase: shuffling
% 2.07/0.63 % (1309121)Time elapsed: 0.023 s
% 2.07/0.63 % (1309121)Peak memory usage: 10 MB
% 2.07/0.63 % (1309121)Instructions burned: 27 (million)
% 2.07/0.63 % (1309130)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=3555671965:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.07/0.63 % (1309131)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=2651769756:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.07/0.63 % (1309130)Instruction limit reached!
% 2.07/0.63 % (1309130)------------------------------
% 2.07/0.63 % (1309130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.63 % (1309130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.63 % (1309130)CaDiCaL version: 2.1.3
% 2.07/0.63 % (1309130)Termination reason: Instruction limit
% 2.07/0.63 % (1309130)Termination phase: shuffling
% 2.07/0.63 % (1309130)Time elapsed: 0.004 s
% 2.07/0.63 % (1309130)Peak memory usage: 10 MB
% 2.07/0.63 % (1309130)Instructions burned: 8 (million)
% 2.07/0.63 % (1309133)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1772048522:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.07/0.63 % (1309133)Instruction limit reached!
% 2.07/0.63 % (1309133)------------------------------
% 2.07/0.63 % (1309133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.63 % (1309133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.63 % (1309133)CaDiCaL version: 2.1.3
% 2.07/0.63 % (1309133)Termination reason: Instruction limit
% 2.07/0.63 % (1309133)Termination phase: shuffling
% 2.07/0.63 % (1309133)Time elapsed: 0.003 s
% 2.07/0.63 % (1309133)Peak memory usage: 10 MB
% 2.07/0.63 % (1309133)Instructions burned: 14 (million)
% 2.07/0.63 % (1309134)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=629939140:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.07/0.63 % (1309131)Instruction limit reached!
% 2.07/0.63 % (1309131)------------------------------
% 2.07/0.63 % (1309131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.63 % (1309131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309131)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309131)Termination reason: Instruction limit
% 2.52/0.68 % (1309131)Termination phase: Property scanning
% 2.52/0.68 % (1309131)Time elapsed: 0.014 s
% 2.52/0.68 % (1309131)Peak memory usage: 10 MB
% 2.52/0.68 % (1309131)Instructions burned: 32 (million)
% 2.52/0.68 % (1309139)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2152522340:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.52/0.68 % (1309137)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2006236128:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.52/0.68 % (1309134)Instruction limit reached!
% 2.52/0.68 % (1309134)------------------------------
% 2.52/0.68 % (1309134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.68 % (1309134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309134)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309134)Termination reason: Instruction limit
% 2.52/0.68 % (1309134)Termination phase: shuffling
% 2.52/0.68 % (1309134)Time elapsed: 0.011 s
% 2.52/0.68 % (1309134)Peak memory usage: 10 MB
% 2.52/0.68 % (1309134)Instructions burned: 23 (million)
% 2.52/0.68 % (1309137)Instruction limit reached!
% 2.52/0.68 % (1309137)------------------------------
% 2.52/0.68 % (1309137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.68 % (1309137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309137)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309137)Termination reason: Instruction limit
% 2.52/0.68 % (1309137)Termination phase: shuffling
% 2.52/0.68 % (1309137)Time elapsed: 0.010 s
% 2.52/0.68 % (1309137)Peak memory usage: 10 MB
% 2.52/0.68 % (1309137)Instructions burned: 22 (million)
% 2.52/0.68 % (1309144)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4111069350:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.52/0.68 % (1309145)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2267825375:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.52/0.68 % (1309108)Instruction limit reached!
% 2.52/0.68 % (1309108)------------------------------
% 2.52/0.68 % (1309108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.68 % (1309108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309108)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309108)Termination reason: Instruction limit
% 2.52/0.68 % (1309108)Termination phase: Saturation
% 2.52/0.68 % (1309108)Time elapsed: 0.114 s
% 2.52/0.68 % (1309108)Peak memory usage: 15 MB
% 2.52/0.68 % (1309108)Instructions burned: 249 (million)
% 2.52/0.68 % (1309142)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2138421060:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.52/0.68 % (1309148)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.52/0.68 % (1309145)Instruction limit reached!
% 2.52/0.68 % (1309145)------------------------------
% 2.52/0.68 % (1309145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.68 % (1309145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309145)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309145)Termination reason: Instruction limit
% 2.52/0.68 % (1309145)Termination phase: Property scanning
% 2.52/0.68 % (1309145)Time elapsed: 0.019 s
% 2.52/0.68 % (1309145)Peak memory usage: 11 MB
% 2.52/0.68 % (1309145)Instructions burned: 43 (million)
% 2.52/0.68 % (1309148)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1543411627:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/0.68 % (1309148)Instruction limit reached!
% 2.52/0.68 % (1309148)------------------------------
% 2.52/0.68 % (1309148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.68 % (1309148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.68 % (1309148)CaDiCaL version: 2.1.3
% 2.52/0.68 % (1309148)Termination reason: Instruction limit
% 2.52/0.68 % (1309148)Termination phase: shuffling
% 2.52/0.68 % (1309148)Time elapsed: 0.004 s
% 2.52/0.68 % (1309148)Peak memory usage: 10 MB
% 2.52/0.68 % (1309148)Instructions burned: 8 (million)
% 2.52/0.68 % (1309152)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=532556193: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)
% 2.72/0.77 % (1309151)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3511363794:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.72/0.77 % (1309113)Instruction limit reached!
% 2.72/0.77 % (1309113)------------------------------
% 2.72/0.77 % (1309113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309113)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309113)Termination reason: Instruction limit
% 2.72/0.77 % (1309113)Termination phase: Saturation
% 2.72/0.77 % (1309113)Time elapsed: 0.157 s
% 2.72/0.77 % (1309113)Peak memory usage: 15 MB
% 2.72/0.77 % (1309113)Instructions burned: 327 (million)
% 2.72/0.77 % (1309144)Instruction limit reached!
% 2.72/0.77 % (1309144)------------------------------
% 2.72/0.77 % (1309144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309144)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309144)Termination reason: Instruction limit
% 2.72/0.77 % (1309144)Termination phase: Saturation
% 2.72/0.77 % (1309144)Time elapsed: 0.084 s
% 2.72/0.77 % (1309144)Peak memory usage: 14 MB
% 2.72/0.77 % (1309144)Instructions burned: 195 (million)
% 2.72/0.77 % (1309155)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.72/0.77 % (1309155)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3499581526:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.72/0.77 % (1309155)Instruction limit reached!
% 2.72/0.77 % (1309155)------------------------------
% 2.72/0.77 % (1309155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309155)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309155)Termination reason: Instruction limit
% 2.72/0.77 % (1309155)Termination phase: shuffling
% 2.72/0.77 % (1309155)Time elapsed: 0.003 s
% 2.72/0.77 % (1309155)Peak memory usage: 10 MB
% 2.72/0.77 % (1309155)Instructions burned: 6 (million)
% 2.72/0.77 % (1309156)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3759494724:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.72/0.77 % (1309158)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1170062274:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.72/0.77 % (1309156)Instruction limit reached!
% 2.72/0.77 % (1309156)------------------------------
% 2.72/0.77 % (1309156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309156)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309156)Termination reason: Instruction limit
% 2.72/0.77 % (1309156)Termination phase: shuffling
% 2.72/0.77 % (1309156)Time elapsed: 0.011 s
% 2.72/0.77 % (1309156)Peak memory usage: 10 MB
% 2.72/0.77 % (1309156)Instructions burned: 23 (million)
% 2.72/0.77 % (1309142)Instruction limit reached!
% 2.72/0.77 % (1309142)------------------------------
% 2.72/0.77 % (1309142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309142)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309142)Termination reason: Instruction limit
% 2.72/0.77 % (1309142)Termination phase: Saturation
% 2.72/0.77 % (1309142)Time elapsed: 0.115 s
% 2.72/0.77 % (1309142)Peak memory usage: 13 MB
% 2.72/0.77 % (1309142)Instructions burned: 143 (million)
% 2.72/0.77 % (1309158)Instruction limit reached!
% 2.72/0.77 % (1309158)------------------------------
% 2.72/0.77 % (1309158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309158)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309158)Termination reason: Instruction limit
% 2.72/0.77 % (1309158)Termination phase: shuffling
% 2.72/0.77 % (1309158)Time elapsed: 0.009 s
% 2.72/0.77 % (1309158)Peak memory usage: 10 MB
% 2.72/0.77 % (1309158)Instructions burned: 21 (million)
% 2.72/0.77 % (1309152)Instruction limit reached!
% 2.72/0.77 % (1309152)------------------------------
% 2.72/0.77 % (1309152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309152)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309152)Termination reason: Instruction limit
% 2.72/0.77 % (1309152)Termination phase: Saturation
% 2.72/0.77 % (1309152)Time elapsed: 0.074 s
% 2.72/0.77 % (1309152)Peak memory usage: 14 MB
% 2.72/0.77 % (1309152)Instructions burned: 171 (million)
% 2.72/0.77 % (1309161)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=3943635759:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.72/0.77 % (1309162)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=2680996500:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.72/0.77 % (1309164)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3867977679:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.72/0.77 % (1309163)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=3952630035:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.72/0.77 % (1309151)Instruction limit reached!
% 2.72/0.77 % (1309151)------------------------------
% 2.72/0.77 % (1309151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309151)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309151)Termination reason: Instruction limit
% 2.72/0.77 % (1309151)Termination phase: Saturation
% 2.72/0.77 % (1309151)Time elapsed: 0.083 s
% 2.72/0.77 % (1309151)Peak memory usage: 14 MB
% 2.72/0.77 % (1309151)Instructions burned: 183 (million)
% 2.72/0.77 % (1309082)Instruction limit reached!
% 2.72/0.77 % (1309082)------------------------------
% 2.72/0.77 % (1309082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309082)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309082)Termination reason: Instruction limit
% 2.72/0.77 % (1309082)Termination phase: Saturation
% 2.72/0.77 % (1309082)Time elapsed: 0.342 s
% 2.72/0.77 % (1309082)Peak memory usage: 19 MB
% 2.72/0.77 % (1309082)Instructions burned: 634 (million)
% 2.72/0.77 % (1309163)Instruction limit reached!
% 2.72/0.77 % (1309163)------------------------------
% 2.72/0.77 % (1309163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309163)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309163)Termination reason: Instruction limit
% 2.72/0.77 % (1309163)Termination phase: SInE selection
% 2.72/0.77 % (1309163)Time elapsed: 0.020 s
% 2.72/0.77 % (1309163)Peak memory usage: 11 MB
% 2.72/0.77 % (1309163)Instructions burned: 46 (million)
% 2.72/0.77 % (1309169)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3714128305: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)
% 2.72/0.77 % (1309170)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.72/0.77 % (1309170)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=604752507:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.72/0.77 % (1309169)Instruction limit reached!
% 2.72/0.77 % (1309169)------------------------------
% 2.72/0.77 % (1309169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309169)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309169)Termination reason: Instruction limit
% 2.72/0.77 % (1309169)Termination phase: shuffling
% 2.72/0.77 % (1309169)Time elapsed: 0.010 s
% 2.72/0.77 % (1309169)Peak memory usage: 10 MB
% 2.72/0.77 % (1309169)Instructions burned: 21 (million)
% 2.72/0.77 % (1309171)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1628739312:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.72/0.77 % (1309171)Instruction limit reached!
% 2.72/0.77 % (1309171)------------------------------
% 2.72/0.77 % (1309171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309171)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309171)Termination reason: Instruction limit
% 2.72/0.77 % (1309171)Termination phase: shuffling
% 2.72/0.77 % (1309171)Time elapsed: 0.006 s
% 2.72/0.77 % (1309171)Peak memory usage: 10 MB
% 2.72/0.77 % (1309171)Instructions burned: 13 (million)
% 2.72/0.77 % (1309174)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=1747019798:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.72/0.77 % (1309176)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1358422404:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.72/0.77 % (1309174)Instruction limit reached!
% 2.72/0.77 % (1309174)------------------------------
% 2.72/0.77 % (1309174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309174)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309174)Termination reason: Instruction limit
% 2.72/0.77 % (1309174)Termination phase: SInE selection
% 2.72/0.77 % (1309174)Time elapsed: 0.028 s
% 2.72/0.77 % (1309174)Peak memory usage: 11 MB
% 2.72/0.77 % (1309174)Instructions burned: 66 (million)
% 2.72/0.77 % (1309176)Instruction limit reached!
% 2.72/0.77 % (1309176)------------------------------
% 2.72/0.77 % (1309176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309176)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309176)Termination reason: Instruction limit
% 2.72/0.77 % (1309176)Termination phase: Property scanning
% 2.72/0.77 % (1309176)Time elapsed: 0.023 s
% 2.72/0.77 % (1309176)Peak memory usage: 11 MB
% 2.72/0.77 % (1309176)Instructions burned: 51 (million)
% 2.72/0.77 % (1309179)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2960314304:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.72/0.77 % (1309180)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2402011188:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.72/0.77 % (1309164) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1309074-1309164"...
% 2.72/0.77 % (1309139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1309074-1309139"...
% 2.72/0.77 % (1309170)Instruction limit reached!
% 2.72/0.77 % (1309170)------------------------------
% 2.72/0.77 % (1309170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309170)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309170)Termination reason: Instruction limit
% 2.72/0.77 % (1309170)Termination phase: Saturation
% 2.72/0.77 % (1309170)Time elapsed: 0.087 s
% 2.72/0.77 % (1309170)Peak memory usage: 14 MB
% 2.72/0.77 % (1309170)Instructions burned: 201 (million)
% 2.72/0.77 % (1309179)Instruction limit reached!
% 2.72/0.77 % (1309179)------------------------------
% 2.72/0.77 % (1309179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.77 % (1309179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.77 % (1309179)CaDiCaL version: 2.1.3
% 2.72/0.77 % (1309179)Termination reason: Instruction limit
% 2.72/0.77 % (1309179)Termination phase: Property scanning
% 2.72/0.77 % (1309179)Time elapsed: 0.014 s
% 2.72/0.77 % (1309179)Peak memory usage: 10 MB
% 2.72/0.77 % (1309179)Instructions burned: 31 (million)
% 2.72/0.77 % (1309164)...printing done.
% 2.72/0.77 % (1309164)Refutation found. Thanks to Tanya!
% 2.72/0.77 % SZS status Theorem for theBenchmark
% 2.72/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/0.78 % (1309164)------------------------------
% 2.72/0.78 % (1309164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.78 % (1309164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.78 % (1309164)CaDiCaL version: 2.1.3
% 2.72/0.78 % (1309164)Termination reason: Refutation
% 2.72/0.78 % (1309164)Time elapsed: 0.117 s
% 2.72/0.78 % (1309164)Peak memory usage: 16 MB
% 2.72/0.78 % (1309164)Instructions burned: 242 (million)
% 2.72/0.78 % (1309074)Success in time 0.506 s
% 2.72/0.78 % Vampire exiting
%------------------------------------------------------------------------------