%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU718^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:30:56 AM UTC 2026
% Result : Theorem 1.23s 0.56s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 75 ( 25 unt; 0 typ; 8 def)
% Number of atoms : 4066 (1071 equ; 0 cnn)
% Maximal formula atoms : 240 ( 54 avg)
% Number of connectives : 2192 ( 98 ~; 80 |; 732 &; 301 @)
% ( 14 <=>; 967 =>; 0 <=; 0 <~>)
% Maximal formula depth : 247 ( 26 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 467 ( 464 usr; 272 con; 0-4 aty)
% Number of variables : 92 ( 0 sgn 74 !; 18 ?; 92 :)
% 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_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_275,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_276,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_277,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_278,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_279,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_280,type,
vOR: $o > $o > $o ).
thf(func_def_281,type,
vAND: $o > $o > $o ).
thf(func_def_282,type,
vNOT: $o > $o ).
thf(func_def_283,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_284,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_285,type,
vIMP: $o > $o > $o ).
thf(func_def_286,type,
sP0: $i > $i > $o ).
thf(func_def_287,type,
sP1: $i > $o ).
thf(func_def_288,type,
sP2: $o ).
thf(func_def_289,type,
sP3: $o ).
thf(func_def_294,type,
sK8: $i > $i ).
thf(func_def_301,type,
sK15: $i > $i ).
thf(func_def_316,type,
sK30: $i > $i > $o ).
thf(func_def_321,type,
sK35: $i > $o ).
thf(func_def_324,type,
sK38: $i > $i > $i ).
thf(func_def_335,type,
sK49: $i > $i > $i ).
thf(func_def_351,type,
sK65: $i > $o ).
thf(func_def_354,type,
sK68: $o ).
thf(func_def_359,type,
sK73: $i > $o ).
thf(func_def_360,type,
sK74: $i > $o ).
thf(func_def_361,type,
sK75: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_362,type,
sK76: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_373,type,
sK87: $i > $o ).
thf(func_def_384,type,
sK98: $i > $i > $i > $i > $i ).
thf(func_def_386,type,
sK100: $o ).
thf(func_def_391,type,
sK105: $o ).
thf(func_def_392,type,
sK106: $o > $i > $i > $i ).
thf(func_def_415,type,
sK129: $i > $i > $o ).
thf(func_def_416,type,
sK130: $i > $i ).
thf(func_def_417,type,
sK131: $i > $i ).
thf(func_def_418,type,
sK132: ( $i > $i > $o ) > $i > $i ).
thf(func_def_419,type,
sK133: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_420,type,
sK134: ( $i > $i > $o ) > $i > $i ).
thf(func_def_427,type,
sK141: ( $i > $o ) > $i ).
thf(func_def_428,type,
sK142: $i > $o ).
thf(func_def_432,type,
sK146: $i > $o ).
thf(func_def_433,type,
sK147: $i > $o ).
thf(func_def_434,type,
sK148: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_435,type,
sK149: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_436,type,
sK150: $i > $o ).
thf(func_def_437,type,
sK151: $i > $o ).
thf(func_def_441,type,
sK155: $i > $i > $i ).
thf(func_def_453,type,
sK167: $i > $i > $i ).
thf(func_def_454,type,
sK168: $i > $i > $i ).
thf(func_def_458,type,
sK172: $i > $o ).
thf(func_def_460,type,
sK174: ( $i > $o ) > $i > $i ).
thf(func_def_472,type,
sK186: $o ).
thf(func_def_479,type,
sK193: $i > $i ).
thf(func_def_481,type,
sK195: $i > $i ).
thf(func_def_489,type,
sK203: $o ).
thf(func_def_503,type,
sK217: $i > $i > $i > $i ).
thf(func_def_504,type,
sK218: $i > $i > $i > $i > $i ).
thf(func_def_516,type,
sK230: ( $i > $o ) > $i ).
thf(func_def_517,type,
sK231: ( $i > $o ) > $i ).
thf(func_def_518,type,
sK232: $i > $o ).
thf(func_def_526,type,
sK240: $i > $o ).
thf(func_def_535,type,
sK249: $i > $i > ( $i > $i ) > $i ).
thf(func_def_536,type,
sK250: $i > $i ).
thf(func_def_543,type,
sK257: $i > $i ).
thf(func_def_551,type,
sK265: $i > $i ).
thf(func_def_554,type,
sK268: $i > $i > ( $i > $i ) > $i ).
thf(func_def_555,type,
sK269: $i > $i > $o ).
thf(func_def_560,type,
sK274: $i > $i > $i > $i > $i ).
thf(func_def_561,type,
sK275: $i > $i > $i > $i > $i ).
thf(func_def_566,type,
sK280: $i > ( $i > $o ) > $i ).
thf(func_def_567,type,
sK281: $i > $o ).
thf(func_def_572,type,
sK286: $i > $o ).
thf(func_def_573,type,
sK287: $i > $o ).
thf(func_def_574,type,
sK288: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_575,type,
sK289: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_583,type,
sK297: $i > $i > $i ).
thf(func_def_584,type,
sK298: $i > $o ).
thf(func_def_593,type,
sK307: $i > $i > $o ).
thf(func_def_597,type,
sK311: $i > $i > $i > $i ).
thf(func_def_598,type,
sK312: $i > $i > $i > $i ).
thf(func_def_617,type,
sK331: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_618,type,
sK332: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_622,type,
sK336: $i > $o ).
thf(func_def_630,type,
sK344: $o ).
thf(func_def_631,type,
sK345: ( $i > $o ) > $i > $i ).
thf(func_def_633,type,
sK347: $i > $o ).
thf(func_def_640,type,
sK354: $i > $i > $i > $i > $i ).
thf(func_def_645,type,
sK359: $i > $o ).
thf(func_def_648,type,
sK362: $i > ( $i > $o ) > $i ).
thf(func_def_649,type,
sK363: $o ).
thf(func_def_653,type,
sK367: ( $i > $i ) > $i > $i > $i ).
thf(func_def_656,type,
sK370: $i > $i ).
thf(func_def_684,type,
sK398: $i > $i ).
thf(func_def_687,type,
sK401: $i > $i ).
thf(func_def_693,type,
sK407: $i > $o ).
thf(func_def_698,type,
sK412: $o ).
thf(func_def_704,type,
sK418: $i > $i ).
thf(func_def_707,type,
sK421: $i > $i > ( $i > $i ) > $i ).
thf(func_def_714,type,
sK428: $i > $i > $i ).
thf(func_def_718,type,
sK432: $i > ( $i > $o ) > $i ).
thf(func_def_719,type,
sK433: $i > $o ).
thf(func_def_724,type,
sK438: $i > $o ).
thf(func_def_725,type,
sK439: ( $i > $o ) > $i > $i > $i ).
thf(func_def_729,type,
sK443: $o ).
thf(func_def_734,type,
sK448: $i > $i > $i ).
thf(func_def_737,type,
sK451: $i > $o ).
thf(func_def_740,type,
sK454: $i > ( $i > $o ) > $i ).
thf(func_def_745,type,
sK459: $i > $i > $o ).
thf(func_def_748,type,
sK462: $i > $i ).
thf(func_def_750,type,
sK464: ( $i > $i ) > $i > $i > $i ).
thf(func_def_752,type,
sK466: $i > $o ).
thf(func_def_758,type,
sK472: $i > ( $i > $o ) > $i ).
thf(func_def_759,type,
sK473: $i > $o ).
thf(func_def_775,type,
sK489: $o ).
thf(func_def_783,type,
sK497: $i > $i ).
thf(func_def_784,type,
sK498: $i > $i ).
thf(func_def_785,type,
sK499: $i > $i ).
thf(func_def_786,type,
sK500: $i > $i ).
thf(func_def_787,type,
sK501: $i > $i ).
thf(func_def_788,type,
sK502: $i > $i > $i > $i ).
thf(func_def_789,type,
sK503: $i > $i ).
thf(func_def_790,type,
sK504: $i > $i ).
thf(func_def_791,type,
sK505: $i > $i ).
thf(func_def_792,type,
sK506: $i > $i ).
thf(func_def_793,type,
sK507: $i > $i > $i ).
thf(func_def_794,type,
sK508: $i > $i > $i ).
thf(func_def_795,type,
sK509: $i > $i > $i > $i ).
thf(func_def_796,type,
sK510: $i > $i > $i > $i ).
thf(func_def_797,type,
sK511: $i > $i > $i > $i ).
thf(func_def_798,type,
sK512: $i > $i > $i ).
thf(func_def_799,type,
sK513: $i > $i > $i ).
thf(func_def_800,type,
sK514: $i > $i > $i ).
thf(func_def_808,type,
sK522: $i > $i > $i > $i ).
thf(func_def_825,type,
sK539: $i > $o ).
thf(func_def_835,type,
sK549: $i > $o ).
thf(func_def_837,type,
sK551: $i > ( $i > $o ) > $i ).
thf(func_def_844,type,
sK558: $i > $i > $i > $i > $i ).
thf(func_def_845,type,
sK559: $i > $i > $i > $i > $i ).
thf(func_def_846,type,
sK560: $i > $i > $i > $i > $i ).
thf(func_def_847,type,
sK561: $i > $i > $i > $i > $i ).
thf(func_def_854,type,
sK568: $o ).
thf(func_def_861,type,
sK575: $o ).
thf(func_def_867,type,
sK581: $i > ( $i > $o ) > $i ).
thf(func_def_868,type,
sK582: $i > ( $i > $o ) > $i ).
thf(func_def_869,type,
sK583: $i > $o ).
thf(func_def_873,type,
sK587: $o ).
thf(func_def_886,type,
sK600: $i > $o ).
thf(func_def_888,type,
sK602: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_889,type,
sK603: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_895,type,
sK609: $i > $i > $o ).
thf(func_def_897,type,
sK611: $i > $o ).
thf(func_def_902,type,
sK616: ( $i > $o ) > $i ).
thf(func_def_903,type,
sK617: $i > $o ).
thf(func_def_904,type,
sK618: $i > $i ).
thf(func_def_914,type,
sK628: $i > $i > $i ).
thf(func_def_918,type,
sK632: $i > $o ).
thf(func_def_920,type,
sK634: ( $i > $o ) > $i > $i ).
thf(func_def_921,type,
sK635: ( $i > $o ) > $i > $i ).
thf(func_def_923,type,
sK637: $i > $i > $o ).
thf(func_def_934,type,
sK648: $i > $i > ( $i > $i ) > $i ).
thf(func_def_935,type,
sK649: $i > $i ).
thf(func_def_938,type,
sK652: $i > $o ).
thf(func_def_939,type,
sK653: $i > $i ).
thf(func_def_940,type,
sK654: ( $i > $o ) > $i ).
thf(func_def_945,type,
sK659: $o ).
thf(func_def_952,type,
sK666: $i > $i > $i ).
thf(func_def_959,type,
sK673: $i > $i > $i > $i ).
thf(func_def_960,type,
sK674: $i > $i > $i > $i ).
thf(func_def_961,type,
sK675: $i > $o ).
thf(func_def_971,type,
sK685: $i > ( $i > $o ) > $i ).
thf(func_def_972,type,
sK686: $i > $o ).
thf(func_def_981,type,
sK695: $i > $i > $o ).
thf(func_def_990,type,
sK704: $o ).
thf(func_def_996,type,
sK710: $o ).
thf(func_def_998,type,
sK712: $o ).
thf(func_def_1007,type,
sK721: $i > $o ).
thf(f85,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( subset @ X0 @ X1 ) ) )
= notsubsetI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notsubsetI) ).
thf(f96,axiom,
( powersetE1
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE1) ).
thf(f239,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
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetTE1) ).
thf(f240,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
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f239]) ).
thf(f297,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
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( in @ X0 @ ( powerset @ X2 ) )
=> ( ( in @ X3 @ X0 )
=> ( in @ X3 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f240]) ).
thf(f298,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 )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( ( in @ X0 @ ( powerset @ X2 ) )
= $true )
=> ( ( ( in @ X3 @ X0 )
= $true )
=> ( ( in @ X3 @ X2 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f297]) ).
thf(f474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
=> ( ~ ( in @ X2 @ X0 )
=> ~ ( subset @ X1 @ X0 ) ) )
= notsubsetI ),
inference(rectify,[],[f85]) ).
thf(f475,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( ( ( in @ X2 @ X0 )
!= $true )
=> ( ( subset @ X1 @ X0 )
!= $true ) ) )
<=> ( notsubsetI = $true ) ),
inference(fool_elimination,[],[f474]) ).
thf(f486,plain,
( powersetE1
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f96]) ).
thf(f487,plain,
( ( powersetE1 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f486]) ).
thf(f723,plain,
( ( notsubsetI = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( ( ( in @ X2 @ X0 )
!= $true )
=> ( ( subset @ X1 @ X0 )
!= $true ) ) ) ),
inference(flattening,[],[f475]) ).
thf(f834,plain,
( ( powersetE1 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( subset @ X1 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f487]) ).
thf(f853,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X2 )
!= $true )
& ( ( in @ X3 @ X0 )
= $true )
& ( ( in @ X0 @ ( powerset @ X2 ) )
= $true )
& ( ( in @ X3 @ X1 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $true ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $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,[],[f298]) ).
thf(f854,plain,
( ( setunionsingleton = $true )
& ( ap2p = $true )
& ( subbreln = $true )
& ( eqbreln = $true )
& ( nonemptyI1 = $true )
& ( setadjoinE = $true )
& ( powersetTI1 = $true )
& ( exuE1 = $true )
& ( setukpairinjL2 = $true )
& ( emptyinPowerset = $true )
& ( funcImageSingleton = $true )
& ( subsetTI = $true )
& ( binunionIR = $true )
& ( dpsetconstrEL1 = $true )
& ( lamProp = $true )
& ( cartprodpairmemER = $true )
& ( lamp = $true )
& ( funcGraphProp2 = $true )
& ( setminusEL = $true )
& ( binintersectT_lem = $true )
& ( beta1 = $true )
& ( subsetI2 = $true )
& ( ap2apEq1 = $true )
& ( iftrue = $true )
& ( ex1I2 = $true )
& ( lam2p = $true )
& ( setunionI = $true )
& ( binintersectLsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectRsub = $true )
& ( setukpairinjR12 = $true )
& ( cartprodsndin = $true )
& ( funcGraphProp3 = $true )
& ( theprop = $true )
& ( foundationAx = $true )
& ( cartprodmempaircEq = $true )
& ( setunionAx = $true )
& ( binintersectER = $true )
& ( exuE3e = $true )
& ( noeltsimpempty = $true )
& ( iftrueProp1 = $true )
& ( eta1 = $true )
& ( ex1E2 = $true )
& ( setminusIRneg = $true )
& ( emptysetimpfalse = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset3 = $true )
& ( cartprodpairsurjEq = $true )
& ( setextT = $true )
& ( kpairp = $true )
& ( singletonsubset = $true )
& ( setminusELneg = $true )
& ( notdallE = $true )
& ( symdiffI1 = $true )
& ( singletoninpowunion = $true )
& ( setadjoinOr = $true )
& ( sepInPowerset = $true )
& ( subset2powerset = $true )
& ( ex1E1 = $true )
& ( omega__Cong = $true )
& ( funcextLem = $true )
& ( cartprodfstin = $true )
& ( uniqinunit = $true )
& ( in__Cong = $true )
& ( setukpairinjR11 = $true )
& ( complementT_lem = $true )
& ( emptyE1 = $true )
& ( setextAx = $true )
& ( ksndpairEq = $true )
& ( brelnall1 = $true )
& ( descrp = $true )
& ( kfstpairEq = $true )
& ( binintersectSubset1 = $true )
& ( descr__Cong = $true )
& ( cartprodmempair = $true )
& ( cartprodpairin = $true )
& ( setunionsingleton2 = $true )
& ( setunion__Cong = $true )
& ( binintersectSubset5 = $true )
& ( upairsetIR = $true )
& ( binunionLsub = $true )
& ( kpairsurjEq = $true )
& ( iffalseProp2 = $true )
& ( setadjoinSub2 = $true )
& ( upairsubunion = $true )
& ( setunionE = $true )
& ( setukpairinjR2 = $true )
& ( singletonprop = $true )
& ( notinemptyset = $true )
& ( setminusER = $true )
& ( dpsetconstrERa = $true )
& ( setadjoin__Cong = $true )
& ( prop2setE = $true )
& ( powersetsubset = $true )
& ( powersetE = $true )
& ( powerset__Cong = $true )
& ( setminusSubset1 = $true )
& ( iftrueorfalse = $true )
& ( binintersectSubset4 = $true )
& ( dpsetconstrSub = $true )
& ( omegaSAx = $true )
& ( symdiffI2 = $true )
& ( upairsetIL = $true )
& ( setunionsingleton1 = $true )
& ( setukpairIR = $true )
& ( setadjoinAx = $true )
& ( singletonsuniq = $true )
& ( exuE2 = $true )
& ( powersetAx = $true )
& ( iffalse = $true )
& ( binintersectEL = $true )
& ( dsetconstrER = $true )
& ( exuE3u = $true )
& ( ubforcartprodlem3 = $true )
& ( funcGraphProp4 = $true )
& ( cartprodsndpairEq = $true )
& ( singletoninpowerset = $true )
& ( binunionEcases = $true )
& ( dpsetconstrEL2 = $true )
& ( symdiffIneg2 = $true )
& ( eqimpsubset1 = $true )
& ( setminusSubset2 = $true )
& ( ap2apEq2 = $true )
& ( setminusLsub = $true )
& ( notequalI1 = $true )
& ( powersetI1 = $true )
& ( omegaIndAx = $true )
& ( upairset2E = $true )
& ( subsetE2 = $true )
& ( setukpairinjL1 = $true )
& ( sepSubset = $true )
& ( nonemptyE1 = $true )
& ( ex1I = $true )
& ( subsetTrans = $true )
& ( app = $true )
& ( subPowSU = $true )
& ( ubforcartprodlem2 = $true )
& ( funcGraphProp1 = $true )
& ( inPowerset = $true )
& ( subsetE = $true )
& ( setadjoinIL = $true )
& ( setext = $true )
& ( notequalI2 = $true )
& ( binunionE = $true )
& ( beta2 = $true )
& ( infuncsetfunc = $true )
& ( eqimpsubset2 = $true )
& ( setunionE2 = $true )
& ( prop2set2propI = $true )
& ( ifp = $true )
& ( powersetE1 = $true )
& ( setminusT_lem = $true )
& ( iftrueProp2 = $true )
& ( quantDeMorgan3 = $true )
& ( emptysetAx = $true )
& ( dsetconstrEL = $true )
& ( emptyInPowerset = $true )
& ( symdiffE = $true )
& ( setminusILneg = $true )
& ( setextsub = $true )
& ( setadjoinSub = $true )
& ( subsetemptysetimpeq = $true )
& ( binunionT_lem = $true )
& ( lam2lamEq = $true )
& ( funcinfuncset = $true )
& ( eqinunit = $true )
& ( vacuousDall = $true )
& ( upairequniteq = $true )
& ( powersetI = $true )
& ( subsetI1 = $true )
& ( powersetT_lem = $true )
& ( upairset2IR = $true )
& ( nonemptyI = $true )
& ( setadjoinIR = $true )
& ( symdiffIneg1 = $true )
& ( theeq = $true )
& ( exuEu = $true )
& ( wellorderingAx = $true )
& ( binintersectSubset2 = $true )
& ( apProp = $true )
& ( inCongP = $true )
& ( setminusERneg = $true )
& ( emptysetsubset = $true )
& ( emptyinunitempty = $true )
& ( dpsetconstrER = $true )
& ( binunionRsub = $true )
& ( funcext = $true )
& ( upairsetE = $true )
& ( cartprodpairmemEL = $true )
& ( secondinupair = $true )
& ( setbeta = $true )
& ( setOfPairsIsBReln = $true )
& ( setukpairIL = $true )
& ( notdexE = $true )
& ( subsetRefl = $true )
& ( exuI1 = $true )
& ( exu__Cong = $true )
& ( quantDeMorgan1 = $true )
& ( bs114d = $true )
& ( binintersectI = $true )
& ( ksndsingleton = $true )
& ( dsetconstrI = $true )
& ( cartprodmempair1 = $true )
& ( setminusI = $true )
& ( prop2setI = $true )
& ( kfstsingleton = $true )
& ( dsetconstr__Cong = $true )
& ( cartprodfstpairEq = $true )
& ( binunionIL = $true )
& ( emptyI = $true )
& ( exuI3 = $true )
& ( brelnall2 = $true )
& ( notinsingleton = $true )
& ( replAx = $true )
& ( singletonsswitch = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan4 = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjR1 = $true )
& ( emptyset__Cong = $true )
& ( omega0Ax = $true )
& ( setoftrueEq = $true )
& ( emptysetE = $true )
& ( setukpairinjL = $true )
& ( eta2 = $true )
& ( upairinpowunion = $true )
& ( kpairiskpair = $true )
& ( nonemptyImpWitness = $true )
& ( setukpairinjR = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( ( in @ X0 @ ( powerset @ X2 ) )
= $true )
& ( ( in @ X3 @ X2 )
!= $true )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $true ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( quantDeMorgan2 = $true )
& ( funcext2 = $true )
& ( exuI2 = $true )
& ( ifSingleton = $true ) ),
inference(flattening,[],[f853]) ).
thf(f868,plain,
( ( notsubsetI = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f723]) ).
thf(f869,plain,
( ( notsubsetI = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true ) ) ),
inference(flattening,[],[f868]) ).
thf(f1307,plain,
( ( ( notsubsetI = $true )
| ? [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( subset @ X1 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
= $true ) ) )
& ( ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
| ( notsubsetI != $true ) ) ),
inference(nnf_transformation,[],[f869]) ).
thf(f1308,plain,
( ( ( notsubsetI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
& ( ( subset @ X0 @ X2 )
= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
= $true )
| ( ( subset @ X3 @ X5 )
!= $true )
| ( ( in @ X4 @ X3 )
!= $true ) )
| ( notsubsetI != $true ) ) ),
inference(rectify,[],[f1307]) ).
thf(f1309,plain,
( ( ( notsubsetI = $true )
| ( ( ( in @ sK302 @ sK303 )
!= $true )
& ( ( subset @ sK301 @ sK303 )
= $true )
& ( $true
= ( in @ sK302 @ sK301 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
= $true )
| ( ( subset @ X3 @ X5 )
!= $true )
| ( ( in @ X4 @ X3 )
!= $true ) )
| ( notsubsetI != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK301,sK302,sK303]),skolemize(X0,sK301),skolemize(X1,sK302),skolemize(X2,sK303)],[f1308]) ).
thf(f1388,plain,
( ( setunionsingleton = $true )
& ( ap2p = $true )
& ( subbreln = $true )
& ( eqbreln = $true )
& ( nonemptyI1 = $true )
& ( setadjoinE = $true )
& ( powersetTI1 = $true )
& ( exuE1 = $true )
& ( setukpairinjL2 = $true )
& ( emptyinPowerset = $true )
& ( funcImageSingleton = $true )
& ( subsetTI = $true )
& ( binunionIR = $true )
& ( dpsetconstrEL1 = $true )
& ( lamProp = $true )
& ( cartprodpairmemER = $true )
& ( lamp = $true )
& ( funcGraphProp2 = $true )
& ( setminusEL = $true )
& ( binintersectT_lem = $true )
& ( beta1 = $true )
& ( subsetI2 = $true )
& ( ap2apEq1 = $true )
& ( iftrue = $true )
& ( ex1I2 = $true )
& ( lam2p = $true )
& ( setunionI = $true )
& ( binintersectLsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectRsub = $true )
& ( setukpairinjR12 = $true )
& ( cartprodsndin = $true )
& ( funcGraphProp3 = $true )
& ( theprop = $true )
& ( foundationAx = $true )
& ( cartprodmempaircEq = $true )
& ( setunionAx = $true )
& ( binintersectER = $true )
& ( exuE3e = $true )
& ( noeltsimpempty = $true )
& ( iftrueProp1 = $true )
& ( eta1 = $true )
& ( ex1E2 = $true )
& ( setminusIRneg = $true )
& ( emptysetimpfalse = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset3 = $true )
& ( cartprodpairsurjEq = $true )
& ( setextT = $true )
& ( kpairp = $true )
& ( singletonsubset = $true )
& ( setminusELneg = $true )
& ( notdallE = $true )
& ( symdiffI1 = $true )
& ( singletoninpowunion = $true )
& ( setadjoinOr = $true )
& ( sepInPowerset = $true )
& ( subset2powerset = $true )
& ( ex1E1 = $true )
& ( omega__Cong = $true )
& ( funcextLem = $true )
& ( cartprodfstin = $true )
& ( uniqinunit = $true )
& ( in__Cong = $true )
& ( setukpairinjR11 = $true )
& ( complementT_lem = $true )
& ( emptyE1 = $true )
& ( setextAx = $true )
& ( ksndpairEq = $true )
& ( brelnall1 = $true )
& ( descrp = $true )
& ( kfstpairEq = $true )
& ( binintersectSubset1 = $true )
& ( descr__Cong = $true )
& ( cartprodmempair = $true )
& ( cartprodpairin = $true )
& ( setunionsingleton2 = $true )
& ( setunion__Cong = $true )
& ( binintersectSubset5 = $true )
& ( upairsetIR = $true )
& ( binunionLsub = $true )
& ( kpairsurjEq = $true )
& ( iffalseProp2 = $true )
& ( setadjoinSub2 = $true )
& ( upairsubunion = $true )
& ( setunionE = $true )
& ( setukpairinjR2 = $true )
& ( singletonprop = $true )
& ( notinemptyset = $true )
& ( setminusER = $true )
& ( dpsetconstrERa = $true )
& ( setadjoin__Cong = $true )
& ( prop2setE = $true )
& ( powersetsubset = $true )
& ( powersetE = $true )
& ( powerset__Cong = $true )
& ( setminusSubset1 = $true )
& ( iftrueorfalse = $true )
& ( binintersectSubset4 = $true )
& ( dpsetconstrSub = $true )
& ( omegaSAx = $true )
& ( symdiffI2 = $true )
& ( upairsetIL = $true )
& ( setunionsingleton1 = $true )
& ( setukpairIR = $true )
& ( setadjoinAx = $true )
& ( singletonsuniq = $true )
& ( exuE2 = $true )
& ( powersetAx = $true )
& ( iffalse = $true )
& ( binintersectEL = $true )
& ( dsetconstrER = $true )
& ( exuE3u = $true )
& ( ubforcartprodlem3 = $true )
& ( funcGraphProp4 = $true )
& ( cartprodsndpairEq = $true )
& ( singletoninpowerset = $true )
& ( binunionEcases = $true )
& ( dpsetconstrEL2 = $true )
& ( symdiffIneg2 = $true )
& ( eqimpsubset1 = $true )
& ( setminusSubset2 = $true )
& ( ap2apEq2 = $true )
& ( setminusLsub = $true )
& ( notequalI1 = $true )
& ( powersetI1 = $true )
& ( omegaIndAx = $true )
& ( upairset2E = $true )
& ( subsetE2 = $true )
& ( setukpairinjL1 = $true )
& ( sepSubset = $true )
& ( nonemptyE1 = $true )
& ( ex1I = $true )
& ( subsetTrans = $true )
& ( app = $true )
& ( subPowSU = $true )
& ( ubforcartprodlem2 = $true )
& ( funcGraphProp1 = $true )
& ( inPowerset = $true )
& ( subsetE = $true )
& ( setadjoinIL = $true )
& ( setext = $true )
& ( notequalI2 = $true )
& ( binunionE = $true )
& ( beta2 = $true )
& ( infuncsetfunc = $true )
& ( eqimpsubset2 = $true )
& ( setunionE2 = $true )
& ( prop2set2propI = $true )
& ( ifp = $true )
& ( powersetE1 = $true )
& ( setminusT_lem = $true )
& ( iftrueProp2 = $true )
& ( quantDeMorgan3 = $true )
& ( emptysetAx = $true )
& ( dsetconstrEL = $true )
& ( emptyInPowerset = $true )
& ( symdiffE = $true )
& ( setminusILneg = $true )
& ( setextsub = $true )
& ( setadjoinSub = $true )
& ( subsetemptysetimpeq = $true )
& ( binunionT_lem = $true )
& ( lam2lamEq = $true )
& ( funcinfuncset = $true )
& ( eqinunit = $true )
& ( vacuousDall = $true )
& ( upairequniteq = $true )
& ( powersetI = $true )
& ( subsetI1 = $true )
& ( powersetT_lem = $true )
& ( upairset2IR = $true )
& ( nonemptyI = $true )
& ( setadjoinIR = $true )
& ( symdiffIneg1 = $true )
& ( theeq = $true )
& ( exuEu = $true )
& ( wellorderingAx = $true )
& ( binintersectSubset2 = $true )
& ( apProp = $true )
& ( inCongP = $true )
& ( setminusERneg = $true )
& ( emptysetsubset = $true )
& ( emptyinunitempty = $true )
& ( dpsetconstrER = $true )
& ( binunionRsub = $true )
& ( funcext = $true )
& ( upairsetE = $true )
& ( cartprodpairmemEL = $true )
& ( secondinupair = $true )
& ( setbeta = $true )
& ( setOfPairsIsBReln = $true )
& ( setukpairIL = $true )
& ( notdexE = $true )
& ( subsetRefl = $true )
& ( exuI1 = $true )
& ( exu__Cong = $true )
& ( quantDeMorgan1 = $true )
& ( bs114d = $true )
& ( binintersectI = $true )
& ( ksndsingleton = $true )
& ( dsetconstrI = $true )
& ( cartprodmempair1 = $true )
& ( setminusI = $true )
& ( prop2setI = $true )
& ( kfstsingleton = $true )
& ( dsetconstr__Cong = $true )
& ( cartprodfstpairEq = $true )
& ( binunionIL = $true )
& ( emptyI = $true )
& ( exuI3 = $true )
& ( brelnall2 = $true )
& ( notinsingleton = $true )
& ( replAx = $true )
& ( singletonsswitch = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan4 = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjR1 = $true )
& ( emptyset__Cong = $true )
& ( omega0Ax = $true )
& ( setoftrueEq = $true )
& ( emptysetE = $true )
& ( setukpairinjL = $true )
& ( eta2 = $true )
& ( upairinpowunion = $true )
& ( kpairiskpair = $true )
& ( nonemptyImpWitness = $true )
& ( setukpairinjR = $true )
& ( ( in @ sK395 @ sK393 )
= $true )
& ( ( in @ sK392 @ ( powerset @ sK394 ) )
= $true )
& ( $true
!= ( in @ sK395 @ sK394 ) )
& ( $true
= ( in @ sK395 @ sK392 ) )
& ( ( in @ sK394 @ ( powerset @ sK393 ) )
= $true )
& ( ( in @ sK392 @ ( powerset @ sK393 ) )
= $true )
& ( quantDeMorgan2 = $true )
& ( funcext2 = $true )
& ( exuI2 = $true )
& ( ifSingleton = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK392,sK393,sK394,sK395]),skolemize(X0,sK392),skolemize(X1,sK393),skolemize(X2,sK394),skolemize(X3,sK395)],[f854]) ).
thf(f1643,plain,
( ( ( powersetE1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ( ( subset @ X1 @ X0 )
!= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( powersetE1 != $true ) ) ),
inference(nnf_transformation,[],[f834]) ).
thf(f1644,plain,
( ( ( powersetE1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ( ( subset @ X1 @ X0 )
!= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X3 @ X2 ) ) )
| ( powersetE1 != $true ) ) ),
inference(rectify,[],[f1643]) ).
thf(f1645,plain,
( ( ( powersetE1 = $true )
| ( ( ( in @ sK663 @ ( powerset @ sK662 ) )
= $true )
& ( ( subset @ sK663 @ sK662 )
!= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X3 @ X2 ) ) )
| ( powersetE1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK662,sK663]),skolemize(X0,sK662),skolemize(X1,sK663)],[f1644]) ).
thf(f2091,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
!= $true )
| ( ( in @ X4 @ X3 )
!= $true )
| ( ( in @ X4 @ X5 )
= $true )
| ( notsubsetI != $true ) ),
inference(cnf_transformation,[],[f1309]) ).
thf(f2211,plain,
( $true
= ( in @ sK395 @ sK392 ) ),
inference(cnf_transformation,[],[f1388]) ).
thf(f2212,plain,
( $true
!= ( in @ sK395 @ sK394 ) ),
inference(cnf_transformation,[],[f1388]) ).
thf(f2213,plain,
( ( in @ sK392 @ ( powerset @ sK394 ) )
= $true ),
inference(cnf_transformation,[],[f1388]) ).
thf(f2229,plain,
notsubsetI = $true,
inference(cnf_transformation,[],[f1388]) ).
thf(f2294,plain,
powersetE1 = $true,
inference(cnf_transformation,[],[f1388]) ).
thf(f2835,plain,
! [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( powersetE1 != $true )
| ( $true
= ( subset @ X3 @ X2 ) ) ),
inference(cnf_transformation,[],[f1645]) ).
thf(f3844,definition,
( spl733_160
<=> ( powersetE1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl733_160])],[avatar_definition]) ).
thf(f4161,definition,
( spl733_231
<=> ( notsubsetI = $true ) ),
introduced(definition,[new_symbols(definition,[spl733_231])],[avatar_definition]) ).
thf(f4400,definition,
( spl733_283
<=> ( ( in @ sK392 @ ( powerset @ sK394 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl733_283])],[avatar_definition]) ).
thf(f4402,plain,
( ( ( in @ sK392 @ ( powerset @ sK394 ) )
= $true )
| ~ spl733_283 ),
inference(avatar_component_clause,[],[f4400]) ).
thf(f4403,plain,
spl733_283,
inference(avatar_split_clause,[],[f2213,f4400]) ).
thf(f6380,definition,
( spl733_708
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( ( subset @ X3 @ X5 )
!= $true )
| ( ( in @ X4 @ X5 )
= $true )
| ( ( in @ X4 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl733_708])],[avatar_definition]) ).
thf(f6381,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
= $true )
| ( ( in @ X4 @ X3 )
!= $true )
| ( ( subset @ X3 @ X5 )
!= $true ) )
| ~ spl733_708 ),
inference(avatar_component_clause,[],[f6380]) ).
thf(f6382,plain,
( spl733_708
| ~ spl733_231 ),
inference(avatar_split_clause,[],[f2091,f4161,f6380]) ).
thf(f6954,definition,
( spl733_828
<=> ( $true
= ( in @ sK395 @ sK392 ) ) ),
introduced(definition,[new_symbols(definition,[spl733_828])],[avatar_definition]) ).
thf(f6956,plain,
( ( $true
= ( in @ sK395 @ sK392 ) )
| ~ spl733_828 ),
inference(avatar_component_clause,[],[f6954]) ).
thf(f6957,plain,
spl733_828,
inference(avatar_split_clause,[],[f2211,f6954]) ).
thf(f7078,plain,
spl733_231,
inference(avatar_split_clause,[],[f2229,f4161]) ).
thf(f7670,definition,
( spl733_974
<=> ! [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X3 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl733_974])],[avatar_definition]) ).
thf(f7671,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X3 @ X2 ) ) )
| ~ spl733_974 ),
inference(avatar_component_clause,[],[f7670]) ).
thf(f7672,plain,
( ~ spl733_160
| spl733_974 ),
inference(avatar_split_clause,[],[f2835,f7670,f3844]) ).
thf(f7788,plain,
spl733_160,
inference(avatar_split_clause,[],[f2294,f3844]) ).
thf(f8437,definition,
( spl733_1131
<=> ( $true
= ( in @ sK395 @ sK394 ) ) ),
introduced(definition,[new_symbols(definition,[spl733_1131])],[avatar_definition]) ).
thf(f8439,plain,
( ( $true
!= ( in @ sK395 @ sK394 ) )
| spl733_1131 ),
inference(avatar_component_clause,[],[f8437]) ).
thf(f8440,plain,
~ spl733_1131,
inference(avatar_split_clause,[],[f2212,f8437]) ).
thf(f9276,plain,
( ( ( subset @ sK392 @ sK394 )
= $true )
| ( $true != $true )
| ~ spl733_283
| ~ spl733_974 ),
inference(superposition,[],[f7671,f4402]) ).
thf(f9279,plain,
( ( ( subset @ sK392 @ sK394 )
= $true )
| ~ spl733_283
| ~ spl733_974 ),
inference(trivial_inequality_removal,[],[f9276]) ).
thf(f9291,definition,
( spl733_1181
<=> ( ( subset @ sK392 @ sK394 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl733_1181])],[avatar_definition]) ).
thf(f9293,plain,
( ( ( subset @ sK392 @ sK394 )
= $true )
| ~ spl733_1181 ),
inference(avatar_component_clause,[],[f9291]) ).
thf(f9294,plain,
( spl733_1181
| ~ spl733_283
| ~ spl733_974 ),
inference(avatar_split_clause,[],[f9279,f7670,f4400,f9291]) ).
thf(f9780,plain,
( ! [X0: $i] :
( ( ( subset @ X0 @ sK394 )
!= $true )
| ( $true != $true )
| ( ( in @ sK395 @ X0 )
!= $true ) )
| ~ spl733_708
| spl733_1131 ),
inference(superposition,[],[f8439,f6381]) ).
thf(f9796,plain,
( ! [X0: $i] :
( ( ( subset @ X0 @ sK394 )
!= $true )
| ( ( in @ sK395 @ X0 )
!= $true ) )
| ~ spl733_708
| spl733_1131 ),
inference(trivial_inequality_removal,[],[f9780]) ).
thf(f9993,plain,
( ( $true
!= ( in @ sK395 @ sK392 ) )
| ( $true != $true )
| ~ spl733_708
| spl733_1131
| ~ spl733_1181 ),
inference(superposition,[],[f9796,f9293]) ).
thf(f10007,plain,
( ( $true
!= ( in @ sK395 @ sK392 ) )
| ~ spl733_708
| spl733_1131
| ~ spl733_1181 ),
inference(trivial_inequality_removal,[],[f9993]) ).
thf(f10017,plain,
( $false
| ~ spl733_708
| ~ spl733_828
| spl733_1131
| ~ spl733_1181 ),
inference(forward_subsumption_resolution,[],[f10007,f6956]) ).
thf(f10018,plain,
( ~ spl733_708
| ~ spl733_828
| spl733_1131
| ~ spl733_1181 ),
inference(avatar_contradiction_clause,[],[f10017]) ).
cnf(s186,plain,
spl733_283,
inference(sat_conversion,[],[f4403]) ).
cnf(s612,plain,
( ~ spl733_231
| spl733_708 ),
inference(sat_conversion,[],[f6382]) ).
cnf(s759,plain,
spl733_828,
inference(sat_conversion,[],[f6957]) ).
cnf(s791,plain,
spl733_231,
inference(sat_conversion,[],[f7078]) ).
cnf(s941,plain,
( ~ spl733_160
| spl733_974 ),
inference(sat_conversion,[],[f7672]) ).
cnf(s973,plain,
spl733_160,
inference(sat_conversion,[],[f7788]) ).
cnf(s1150,plain,
~ spl733_1131,
inference(sat_conversion,[],[f8440]) ).
cnf(s1210,plain,
( ~ spl733_283
| ~ spl733_974
| spl733_1181 ),
inference(sat_conversion,[],[f9294]) ).
cnf(s1229,plain,
( ~ spl733_708
| ~ spl733_828
| spl733_1131
| ~ spl733_1181 ),
inference(sat_conversion,[],[f10018]) ).
cnf(s1240,plain,
spl733_974,
inference(rat,[],[s941,s973]) ).
cnf(s1290,plain,
spl733_708,
inference(rat,[],[s612,s791]) ).
cnf(s1291,plain,
~ spl733_1181,
inference(rat,[],[s1229,s759,s1150,s1290]) ).
cnf(s1292,plain,
~ spl733_283,
inference(rat,[],[s1210,s1240,s1291]) ).
cnf(s1442,plain,
$false,
inference(rat,[],[s186,s1292]) ).
thf(f10019,plain,
$false,
inference(avatar_sat_refutation,[],[s1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU718^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:14:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.43 % (2725713)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.43 % (2725724)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.43 % (2725724)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
% 0.52/0.43 % (2725724)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=2983225367:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.43 % (2725718)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3703868280:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.43 % (2725720)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2769423765:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.43 % (2725721)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=590772171: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)
% 0.52/0.43 % (2725722)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2317441961:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.43 % (2725723)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=157455837:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.43 % (2725720)Instruction limit reached!
% 0.52/0.43 % (2725720)------------------------------
% 0.52/0.43 % (2725720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (2725720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (2725720)CaDiCaL version: 2.1.3
% 0.52/0.43 % (2725720)Termination reason: Instruction limit
% 0.52/0.43 % (2725720)Termination phase: shuffling
% 0.52/0.43 % (2725720)Time elapsed: 0.002 s
% 0.52/0.43 % (2725720)Peak memory usage: 10 MB
% 0.52/0.43 % (2725720)Instructions burned: 3 (million)
% 0.52/0.43 % (2725719)lrs+10_16_si=on:nwc=1.5:random_seed=1294981032:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.43 % (2725722)Instruction limit reached!
% 0.52/0.43 % (2725722)------------------------------
% 0.52/0.43 % (2725722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (2725722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (2725722)CaDiCaL version: 2.1.3
% 0.52/0.43 % (2725722)Termination reason: Instruction limit
% 0.52/0.43 % (2725722)Termination phase: Property scanning
% 0.52/0.43 % (2725722)Time elapsed: 0.012 s
% 0.52/0.43 % (2725722)Peak memory usage: 10 MB
% 0.52/0.43 % (2725722)Instructions burned: 26 (million)
% 0.52/0.43 % (2725719)Instruction limit reached!
% 0.52/0.43 % (2725719)------------------------------
% 0.52/0.43 % (2725719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (2725719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (2725719)CaDiCaL version: 2.1.3
% 0.52/0.43 % (2725719)Termination reason: Instruction limit
% 0.52/0.43 % (2725719)Termination phase: shuffling
% 0.52/0.43 % (2725719)Time elapsed: 0.009 s
% 0.52/0.43 % (2725719)Peak memory usage: 10 MB
% 0.52/0.43 % (2725719)Instructions burned: 18 (million)
% 0.52/0.43 % (2725731)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=494085986:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.43 % (2725731)Instruction limit reached!
% 0.52/0.43 % (2725731)------------------------------
% 0.52/0.43 % (2725731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (2725731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (2725731)CaDiCaL version: 2.1.3
% 0.52/0.43 % (2725731)Termination reason: Instruction limit
% 0.52/0.43 % (2725731)Termination phase: shuffling
% 0.52/0.43 % (2725731)Time elapsed: 0.001 s
% 0.52/0.43 % (2725731)Peak memory usage: 10 MB
% 0.52/0.43 % (2725731)Instructions burned: 2 (million)
% 0.52/0.43 % (2725724)Instruction limit reached!
% 0.52/0.43 % (2725724)------------------------------
% 0.52/0.43 % (2725724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725724)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725724)Termination reason: Instruction limit
% 0.52/0.46 % (2725724)Termination phase: Saturation
% 0.52/0.46 % (2725724)Time elapsed: 0.035 s
% 0.52/0.46 % (2725724)Peak memory usage: 13 MB
% 0.52/0.46 % (2725724)Instructions burned: 157 (million)
% 0.52/0.46 % (2725734)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.46 % (2725733)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4199165996:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.46 % (2725734)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2581361975:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.46 % (2725723)Instruction limit reached!
% 0.52/0.46 % (2725723)------------------------------
% 0.52/0.46 % (2725723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725723)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725723)Termination reason: Instruction limit
% 0.52/0.46 % (2725723)Termination phase: Preprocessing 3
% 0.52/0.46 % (2725723)Time elapsed: 0.036 s
% 0.52/0.46 % (2725723)Peak memory usage: 12 MB
% 0.52/0.46 % (2725723)Instructions burned: 76 (million)
% 0.52/0.46 % (2725737)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
% 0.52/0.46 % (2725733)Instruction limit reached!
% 0.52/0.46 % (2725733)------------------------------
% 0.52/0.46 % (2725733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725737)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.46 % (2725733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725733)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725733)Termination reason: Instruction limit
% 0.52/0.46 % (2725733)Termination phase: shuffling
% 0.52/0.46 % (2725733)Time elapsed: 0.003 s
% 0.52/0.46 % (2725733)Peak memory usage: 10 MB
% 0.52/0.46 % (2725733)Instructions burned: 6 (million)
% 0.52/0.46 % (2725734)Instruction limit reached!
% 0.52/0.46 % (2725734)------------------------------
% 0.52/0.46 % (2725734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725737)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=222550223:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.46 % (2725734)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725734)Termination reason: Instruction limit
% 0.52/0.46 % (2725734)Termination phase: shuffling
% 0.52/0.46 % (2725734)Time elapsed: 0.004 s
% 0.52/0.46 % (2725734)Peak memory usage: 10 MB
% 0.52/0.46 % (2725734)Instructions burned: 8 (million)
% 0.52/0.46 % (2725718)Instruction limit reached!
% 0.52/0.46 % (2725718)------------------------------
% 0.52/0.46 % (2725718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725718)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725718)Termination reason: Instruction limit
% 0.52/0.46 % (2725718)Termination phase: Preprocessing 3
% 0.52/0.46 % (2725718)Time elapsed: 0.042 s
% 0.52/0.46 % (2725718)Peak memory usage: 13 MB
% 0.52/0.46 % (2725718)Instructions burned: 87 (million)
% 0.52/0.46 % (2725736)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3159667910:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.46 % (2725737)Instruction limit reached!
% 0.52/0.46 % (2725737)------------------------------
% 0.52/0.46 % (2725737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (2725737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (2725737)CaDiCaL version: 2.1.3
% 0.52/0.46 % (2725737)Termination reason: Instruction limit
% 1.23/0.49 % (2725737)Termination phase: shuffling
% 1.23/0.49 % (2725737)Time elapsed: 0.007 s
% 1.23/0.49 % (2725737)Peak memory usage: 10 MB
% 1.23/0.49 % (2725737)Instructions burned: 32 (million)
% 1.23/0.49 % (2725736)Instruction limit reached!
% 1.23/0.49 % (2725736)------------------------------
% 1.23/0.49 % (2725736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (2725736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (2725736)CaDiCaL version: 2.1.3
% 1.23/0.49 % (2725736)Termination reason: Instruction limit
% 1.23/0.49 % (2725736)Termination phase: shuffling
% 1.23/0.49 % (2725736)Time elapsed: 0.006 s
% 1.23/0.49 % (2725736)Peak memory usage: 10 MB
% 1.23/0.49 % (2725736)Instructions burned: 13 (million)
% 1.23/0.49 % (2725743)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.23/0.49 % (2725740)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=199603884:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.23/0.49 % (2725741)lrs+10_1_si=on:cs=on:random_seed=118949466:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.23/0.49 % (2725746)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=570500171:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.23/0.49 % (2725743)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=4261275937:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.49 % (2725741)Instruction limit reached!
% 1.23/0.49 % (2725741)------------------------------
% 1.23/0.49 % (2725741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (2725741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (2725741)CaDiCaL version: 2.1.3
% 1.23/0.49 % (2725741)Termination reason: Instruction limit
% 1.23/0.49 % (2725741)Termination phase: shuffling
% 1.23/0.49 % (2725741)Time elapsed: 0.004 s
% 1.23/0.49 % (2725741)Peak memory usage: 10 MB
% 1.23/0.49 % (2725741)Instructions burned: 8 (million)
% 1.23/0.49 % (2725743)Instruction limit reached!
% 1.23/0.49 % (2725743)------------------------------
% 1.23/0.49 % (2725743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (2725743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (2725743)CaDiCaL version: 2.1.3
% 1.23/0.49 % (2725743)Termination reason: Instruction limit
% 1.23/0.49 % (2725743)Termination phase: shuffling
% 1.23/0.49 % (2725743)Time elapsed: 0.002 s
% 1.23/0.49 % (2725743)Peak memory usage: 10 MB
% 1.23/0.49 % (2725743)Instructions burned: 4 (million)
% 1.23/0.49 % (2725744)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3539709224:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.23/0.49 % (2725747)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1598288725:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.23/0.49 % (2725744)Instruction limit reached!
% 1.23/0.49 % (2725744)------------------------------
% 1.23/0.49 % (2725744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (2725744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (2725744)CaDiCaL version: 2.1.3
% 1.23/0.49 % (2725744)Termination reason: Instruction limit
% 1.23/0.49 % (2725744)Termination phase: SInE selection
% 1.23/0.49 % (2725744)Time elapsed: 0.017 s
% 1.23/0.49 % (2725744)Peak memory usage: 11 MB
% 1.23/0.49 % (2725744)Instructions burned: 38 (million)
% 1.23/0.49 % (2725753)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3659696342:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.49 % (2725754)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=426887523:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.23/0.49 % (2725747)Instruction limit reached!
% 1.23/0.49 % (2725747)------------------------------
% 1.23/0.49 % (2725747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (2725747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725747)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725747)Termination reason: Instruction limit
% 1.23/0.55 % (2725747)Termination phase: Property scanning
% 1.23/0.55 % (2725747)Time elapsed: 0.012 s
% 1.23/0.55 % (2725747)Peak memory usage: 10 MB
% 1.23/0.55 % (2725747)Instructions burned: 26 (million)
% 1.23/0.55 % (2725753)Instruction limit reached!
% 1.23/0.55 % (2725753)------------------------------
% 1.23/0.55 % (2725753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725753)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725753)Termination reason: Instruction limit
% 1.23/0.55 % (2725753)Termination phase: shuffling
% 1.23/0.55 % (2725753)Time elapsed: 0.007 s
% 1.23/0.55 % (2725753)Peak memory usage: 10 MB
% 1.23/0.55 % (2725753)Instructions burned: 16 (million)
% 1.23/0.55 % (2725740)Instruction limit reached!
% 1.23/0.55 % (2725740)------------------------------
% 1.23/0.55 % (2725740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725740)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725740)Termination reason: Instruction limit
% 1.23/0.55 % (2725740)Termination phase: Property scanning
% 1.23/0.55 % (2725740)Time elapsed: 0.036 s
% 1.23/0.55 % (2725740)Peak memory usage: 11 MB
% 1.23/0.55 % (2725740)Instructions burned: 86 (million)
% 1.23/0.55 % (2725756)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1332624329:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.55 % (2725759)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1750573688: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)
% 1.23/0.55 % (2725759)Instruction limit reached!
% 1.23/0.55 % (2725759)------------------------------
% 1.23/0.55 % (2725759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725759)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725759)Termination reason: Instruction limit
% 1.23/0.55 % (2725759)Termination phase: shuffling
% 1.23/0.55 % (2725759)Time elapsed: 0.003 s
% 1.23/0.55 % (2725759)Peak memory usage: 10 MB
% 1.23/0.55 % (2725759)Instructions burned: 5 (million)
% 1.23/0.55 % (2725756)Instruction limit reached!
% 1.23/0.55 % (2725756)------------------------------
% 1.23/0.55 % (2725756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725756)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725756)Termination reason: Instruction limit
% 1.23/0.55 % (2725756)Termination phase: shuffling
% 1.23/0.55 % (2725756)Time elapsed: 0.007 s
% 1.23/0.55 % (2725756)Peak memory usage: 10 MB
% 1.23/0.55 % (2725756)Instructions burned: 14 (million)
% 1.23/0.55 % (2725760)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3645080732:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.23/0.55 % (2725761)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1230938546:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.55 % (2725746)Instruction limit reached!
% 1.23/0.55 % (2725746)------------------------------
% 1.23/0.55 % (2725746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725746)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725746)Termination reason: Instruction limit
% 1.23/0.55 % (2725746)Termination phase: Saturation
% 1.23/0.55 % (2725746)Time elapsed: 0.059 s
% 1.23/0.55 % (2725746)Peak memory usage: 15 MB
% 1.23/0.55 % (2725746)Instructions burned: 249 (million)
% 1.23/0.55 % (2725760)Instruction limit reached!
% 1.23/0.55 % (2725760)------------------------------
% 1.23/0.55 % (2725760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (2725760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (2725760)CaDiCaL version: 2.1.3
% 1.23/0.55 % (2725760)Termination reason: Instruction limit
% 1.23/0.55 % (2725760)Termination phase: shuffling
% 1.23/0.55 % (2725760)Time elapsed: 0.012 s
% 1.23/0.55 % (2725760)Peak memory usage: 10 MB
% 1.23/0.55 % (2725760)Instructions burned: 27 (million)
% 1.23/0.56 % (2725765)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.23/0.56 % (2725765)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.23/0.56 % (2725761)Instruction limit reached!
% 1.23/0.56 % (2725761)------------------------------
% 1.23/0.56 % (2725761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725761)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725761)Termination reason: Instruction limit
% 1.23/0.56 % (2725761)Termination phase: shuffling
% 1.23/0.56 % (2725761)Time elapsed: 0.011 s
% 1.23/0.56 % (2725761)Peak memory usage: 10 MB
% 1.23/0.56 % (2725761)Instructions burned: 23 (million)
% 1.23/0.56 % (2725764)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1675140087:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.23/0.56 % (2725765)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=2385227454:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.56 % (2725768)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.23/0.56 % (2725768)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=291631455:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.23/0.56 % (2725768)Instruction limit reached!
% 1.23/0.56 % (2725768)------------------------------
% 1.23/0.56 % (2725768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725768)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725768)Termination reason: Instruction limit
% 1.23/0.56 % (2725768)Termination phase: shuffling
% 1.23/0.56 % (2725768)Time elapsed: 0.003 s
% 1.23/0.56 % (2725768)Peak memory usage: 10 MB
% 1.23/0.56 % (2725768)Instructions burned: 12 (million)
% 1.23/0.56 % (2725765)Instruction limit reached!
% 1.23/0.56 % (2725765)------------------------------
% 1.23/0.56 % (2725765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725765)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725765)Termination reason: Instruction limit
% 1.23/0.56 % (2725765)Termination phase: shuffling
% 1.23/0.56 % (2725765)Time elapsed: 0.007 s
% 1.23/0.56 % (2725765)Peak memory usage: 10 MB
% 1.23/0.56 % (2725765)Instructions burned: 16 (million)
% 1.23/0.56 % (2725769)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=2841161668:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.23/0.56 % (2725774)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1083585326:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.56 % (2725770)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3009471788:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.23/0.56 % (2725774)Instruction limit reached!
% 1.23/0.56 % (2725774)------------------------------
% 1.23/0.56 % (2725774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725774)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725774)Termination reason: Instruction limit
% 1.23/0.56 % (2725774)Termination phase: shuffling
% 1.23/0.56 % (2725774)Time elapsed: 0.005 s
% 1.23/0.56 % (2725774)Peak memory usage: 10 MB
% 1.23/0.56 % (2725774)Instructions burned: 23 (million)
% 1.23/0.56 % (2725770)Instruction limit reached!
% 1.23/0.56 % (2725770)------------------------------
% 1.23/0.56 % (2725770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725770)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725770)Termination reason: Instruction limit
% 1.23/0.56 % (2725770)Termination phase: shuffling
% 1.23/0.56 % (2725770)Time elapsed: 0.004 s
% 1.23/0.56 % (2725770)Peak memory usage: 10 MB
% 1.23/0.56 % (2725770)Instructions burned: 8 (million)
% 1.23/0.56 % (2725775)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=951335378:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.23/0.56 % (2725764)Instruction limit reached!
% 1.23/0.56 % (2725764)------------------------------
% 1.23/0.56 % (2725764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725764)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725764)Termination reason: Instruction limit
% 1.23/0.56 % (2725764)Termination phase: Preprocessing 3
% 1.23/0.56 % (2725764)Time elapsed: 0.028 s
% 1.23/0.56 % (2725764)Peak memory usage: 12 MB
% 1.23/0.56 % (2725764)Instructions burned: 60 (million)
% 1.23/0.56 % (2725769)Instruction limit reached!
% 1.23/0.56 % (2725769)------------------------------
% 1.23/0.56 % (2725769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725769)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725769)Termination reason: Instruction limit
% 1.23/0.56 % (2725769)Termination phase: shuffling
% 1.23/0.56 % (2725769)Time elapsed: 0.014 s
% 1.23/0.56 % (2725769)Peak memory usage: 11 MB
% 1.23/0.56 % (2725769)Instructions burned: 31 (million)
% 1.23/0.56 % (2725779)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4033546303:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.23/0.56 % (2725775)Instruction limit reached!
% 1.23/0.56 % (2725775)------------------------------
% 1.23/0.56 % (2725775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725775)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725775)Termination reason: Instruction limit
% 1.23/0.56 % (2725775)Termination phase: shuffling
% 1.23/0.56 % (2725775)Time elapsed: 0.010 s
% 1.23/0.56 % (2725775)Peak memory usage: 10 MB
% 1.23/0.56 % (2725775)Instructions burned: 21 (million)
% 1.23/0.56 % (2725780)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1782967357:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.23/0.56 % (2725782)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3059834972:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.23/0.56 % (2725783)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=546427141:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.23/0.56 % (2725785)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.56 % (2725785)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2879326440:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.23/0.56 % (2725785)Instruction limit reached!
% 1.23/0.56 % (2725785)------------------------------
% 1.23/0.56 % (2725785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725785)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725785)Termination reason: Instruction limit
% 1.23/0.56 % (2725785)Termination phase: shuffling
% 1.23/0.56 % (2725785)Time elapsed: 0.004 s
% 1.23/0.56 % (2725785)Peak memory usage: 10 MB
% 1.23/0.56 % (2725785)Instructions burned: 8 (million)
% 1.23/0.56 % (2725783)Instruction limit reached!
% 1.23/0.56 % (2725783)------------------------------
% 1.23/0.56 % (2725783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725783)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725783)Termination reason: Instruction limit
% 1.23/0.56 % (2725783)Termination phase: Property scanning
% 1.23/0.56 % (2725783)Time elapsed: 0.018 s
% 1.23/0.56 % (2725783)Peak memory usage: 11 MB
% 1.23/0.56 % (2725783)Instructions burned: 42 (million)
% 1.23/0.56 % (2725721) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2725713-2725721"...
% 1.23/0.56 % (2725790)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2230062499:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.23/0.56 % (2725791)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=2616624028: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)
% 1.23/0.56 % (2725721)...printing done.
% 1.23/0.56 % (2725721)Refutation found. Thanks to Tanya!
% 1.23/0.56 % SZS status Theorem for theBenchmark
% 1.23/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.56 % (2725721)------------------------------
% 1.23/0.56 % (2725721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (2725721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (2725721)CaDiCaL version: 2.1.3
% 1.23/0.56 % (2725721)Termination reason: Refutation
% 1.23/0.56 % (2725721)Time elapsed: 0.211 s
% 1.23/0.56 % (2725721)Peak memory usage: 20 MB
% 1.23/0.56 % (2725721)Instructions burned: 412 (million)
% 1.23/0.56 % (2725713)Success in time 0.267 s
% 1.23/0.56 % Vampire exiting
%------------------------------------------------------------------------------