%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU685^1 : 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 : n019.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 08:30:46 AM UTC 2026
% Result : Theorem 2.21s 0.61s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 113 ( 37 unt; 0 typ; 12 def)
% Number of atoms : 4486 (1221 equ; 0 cnn)
% Maximal formula atoms : 204 ( 39 avg)
% Number of connectives : 2579 ( 157 ~; 140 |; 842 &; 586 @)
% ( 22 <=>; 832 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 19 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 : 415 ( 412 usr; 240 con; 0-4 aty)
% Number of variables : 179 ( 0 sgn 143 !; 36 ?; 179 :)
% 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_241,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_242,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_243,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_244,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_245,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_246,type,
vNOT: $o > $o ).
thf(func_def_247,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_248,type,
vAND: $o > $o > $o ).
thf(func_def_249,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_250,type,
vIMP: $o > $o > $o ).
thf(func_def_251,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_252,type,
sP0: $i > $i > $o ).
thf(func_def_253,type,
sP1: $i > $o ).
thf(func_def_254,type,
sP2: $o ).
thf(func_def_259,type,
sK7: $i > $i ).
thf(func_def_267,type,
sK15: $i > $o ).
thf(func_def_269,type,
sK17: $i > ( $i > $o ) > $i ).
thf(func_def_270,type,
sK18: $i > $i > $i ).
thf(func_def_275,type,
sK23: $i > $i > $i ).
thf(func_def_284,type,
sK32: $i > $i > $i > $i ).
thf(func_def_285,type,
sK33: $i > $i > $i > $i ).
thf(func_def_301,type,
sK49: $i > $o ).
thf(func_def_302,type,
sK50: $i > $o ).
thf(func_def_303,type,
sK51: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_304,type,
sK52: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_315,type,
sK63: $i > $o ).
thf(func_def_316,type,
sK64: $i > $o ).
thf(func_def_318,type,
sK66: ( $i > $o ) > $i ).
thf(func_def_319,type,
sK67: ( $i > $o ) > $i ).
thf(func_def_325,type,
sK73: ( $i > $o ) > $i ).
thf(func_def_326,type,
sK74: $i > $o ).
thf(func_def_327,type,
sK75: $i > $i ).
thf(func_def_337,type,
sK85: $i > $i > $o ).
thf(func_def_341,type,
sK89: $i > $i ).
thf(func_def_362,type,
sK110: $i > $o ).
thf(func_def_363,type,
sK111: ( $i > $o ) > $i ).
thf(func_def_365,type,
sK113: $i > $o ).
thf(func_def_370,type,
sK118: $i > $i > $i ).
thf(func_def_378,type,
sK126: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_379,type,
sK127: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_383,type,
sK131: $i > $o ).
thf(func_def_387,type,
sK135: $i > ( $i > $o ) > $i ).
thf(func_def_388,type,
sK136: $i > $o ).
thf(func_def_393,type,
sK141: $i > $o ).
thf(func_def_399,type,
sK147: $o ).
thf(func_def_400,type,
sK148: $o > $i > $i > $i ).
thf(func_def_414,type,
sK162: $o ).
thf(func_def_419,type,
sK167: $i > $i > $i ).
thf(func_def_437,type,
sK185: $i > $i > $o ).
thf(func_def_443,type,
sK191: $i > $o ).
thf(func_def_445,type,
sK193: $i > $o ).
thf(func_def_450,type,
sK198: ( $i > $o ) > $i ).
thf(func_def_451,type,
sK199: $i > $o ).
thf(func_def_452,type,
sK200: $i > $i ).
thf(func_def_453,type,
sK201: $i > ( $i > $i ) > $i > $i ).
thf(func_def_455,type,
sK203: $i > $i ).
thf(func_def_467,type,
sK215: $i > $i > $i ).
thf(func_def_468,type,
sK216: $i > $i > $i ).
thf(func_def_477,type,
sK225: $i > $i ).
thf(func_def_486,type,
sK234: $o ).
thf(func_def_489,type,
sK237: $i > $i > $o ).
thf(func_def_491,type,
sK239: $i > $i ).
thf(func_def_492,type,
sK240: $i > $i ).
thf(func_def_493,type,
sK241: $i > ( $i > $i > $o ) > $i ).
thf(func_def_494,type,
sK242: $i > ( $i > $i > $o ) > $i ).
thf(func_def_495,type,
sK243: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_503,type,
sK251: $i > $o ).
thf(func_def_508,type,
sK256: $i > $i > $o ).
thf(func_def_511,type,
sK259: $i > $o ).
thf(func_def_520,type,
sK268: $i > $i > $o ).
thf(func_def_522,type,
sK270: $i > $o ).
thf(func_def_524,type,
sK272: ( $i > $o ) > $i > $i ).
thf(func_def_526,type,
sK274: $i > $i ).
thf(func_def_535,type,
sK283: $i > $i ).
thf(func_def_538,type,
sK286: $i > $i > $o ).
thf(func_def_540,type,
sK288: $o ).
thf(func_def_543,type,
sK291: $i > $o ).
thf(func_def_545,type,
sK293: ( $i > $o ) > $i > $i ).
thf(func_def_546,type,
sK294: ( $i > $o ) > $i > $i ).
thf(func_def_548,type,
sK296: $i > $o ).
thf(func_def_556,type,
sK304: $i > $i > $i ).
thf(func_def_558,type,
sK306: $i > $i > $o ).
thf(func_def_565,type,
sK313: $i > $o ).
thf(func_def_567,type,
sK315: ( $i > $o ) > $i > $i ).
thf(func_def_583,type,
sK331: $i > $i > $i ).
thf(func_def_584,type,
sK332: $i > $i ).
thf(func_def_587,type,
sK335: $i > $i ).
thf(func_def_606,type,
sK354: $o ).
thf(func_def_608,type,
sK356: $i > $i > $o ).
thf(func_def_638,type,
sK386: $i > $o ).
thf(func_def_641,type,
sK389: $i > ( $i > $o ) > $i ).
thf(func_def_643,type,
sK391: $i > $o ).
thf(func_def_658,type,
sK406: $o ).
thf(func_def_666,type,
sK414: $i > $o ).
thf(func_def_678,type,
sK426: $i > $i > $i ).
thf(func_def_679,type,
sK427: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_680,type,
sK428: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_681,type,
sK429: $i > $o ).
thf(func_def_682,type,
sK430: $i > $o ).
thf(func_def_685,type,
sK433: $i > $o ).
thf(func_def_703,type,
sK451: ( $i > $i ) > $i > $i > $i ).
thf(func_def_706,type,
sK454: $i > $i ).
thf(func_def_720,type,
sK468: $i > $o ).
thf(func_def_721,type,
sK469: $i > $o ).
thf(func_def_722,type,
sK470: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_723,type,
sK471: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_734,type,
sK482: $i > $i ).
thf(func_def_735,type,
sK483: $i > $i ).
thf(func_def_736,type,
sK484: $i > $i ).
thf(func_def_737,type,
sK485: $i > $i ).
thf(func_def_738,type,
sK486: $i > $i ).
thf(func_def_739,type,
sK487: $i > $i > $i > $i ).
thf(func_def_740,type,
sK488: $i > $i ).
thf(func_def_741,type,
sK489: $i > $i ).
thf(func_def_742,type,
sK490: $i > $i ).
thf(func_def_743,type,
sK491: $i > $i ).
thf(func_def_744,type,
sK492: $i > $i > $i ).
thf(func_def_745,type,
sK493: $i > $i > $i ).
thf(func_def_746,type,
sK494: $i > $i > $i > $i ).
thf(func_def_747,type,
sK495: $i > $i > $i > $i ).
thf(func_def_748,type,
sK496: $i > $i > $i > $i ).
thf(func_def_749,type,
sK497: $i > $i > $i ).
thf(func_def_750,type,
sK498: $i > $i > $i ).
thf(func_def_751,type,
sK499: $i > $i > $i ).
thf(func_def_753,type,
sK501: $i > $o ).
thf(func_def_758,type,
sK506: $o ).
thf(func_def_770,type,
sK518: $i > ( $i > $o ) > $i ).
thf(func_def_771,type,
sK519: $i > ( $i > $o ) > $i ).
thf(func_def_772,type,
sK520: $i > $o ).
thf(func_def_785,type,
sK533: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_786,type,
sK534: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_790,type,
sK538: $i > $o ).
thf(func_def_794,type,
sK542: $o ).
thf(func_def_799,type,
sK547: $i > ( $i > $i ) > $i > $i ).
thf(func_def_801,type,
sK549: $i > $i ).
thf(func_def_808,type,
sK556: $i > $i > $i ).
thf(func_def_813,type,
sK561: $i > $o ).
thf(func_def_815,type,
sK563: $i > ( $i > $o ) > $i ).
thf(func_def_816,type,
sK564: $i > $o ).
thf(func_def_819,type,
sK567: $i > ( $i > $o ) > $i ).
thf(func_def_823,type,
sK571: $i > $o ).
thf(func_def_826,type,
sK574: $i > ( $i > $o ) > $i ).
thf(func_def_827,type,
sK575: $i > $o ).
thf(func_def_832,type,
sK580: $i > $o ).
thf(func_def_835,type,
sK583: $i > ( $i > $o ) > $i ).
thf(func_def_844,type,
sK592: $i > $o ).
thf(func_def_846,type,
sK594: $i > ( $i > $o ) > $i > $i ).
thf(f79,axiom,
! [X1: $i,X0: $i] :
( ( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) )
= eqimpsubset2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(f84,axiom,
( subsetE2
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( subset @ X0 @ X1 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE2) ).
thf(f198,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ( func @ X0 @ X1 @ X2 ) )
= infuncsetfunc ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infuncsetfunc) ).
thf(f208,axiom,
( funcGraphProp1
= ( ! [X1: $i,X2: $i,X0: $i] :
( ( func @ X0 @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( kpair @ X3 @ ( ap @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcGraphProp1) ).
thf(f209,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
=> ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( kpair @ X3 @ ( ap @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcGraphProp3) ).
thf(f210,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
=> ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( kpair @ X3 @ ( ap @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f209]) ).
thf(f213,plain,
! [X0: $i,X1: $i] :
( ( ( X0 = X1 )
=> ( subset @ X0 @ X1 ) )
= eqimpsubset2 ),
inference(rectify,[],[f79]) ).
thf(f214,plain,
( ( eqimpsubset2 = $true )
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( ( subset @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f213]) ).
thf(f340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( funcSet @ X1 @ X2 ) )
=> ( func @ X1 @ X2 @ X0 ) )
= infuncsetfunc ),
inference(rectify,[],[f198]) ).
thf(f341,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X1 @ X2 ) ) )
=> ( $true
= ( func @ X1 @ X2 @ X0 ) ) )
<=> ( infuncsetfunc = $true ) ),
inference(fool_elimination,[],[f340]) ).
thf(f440,plain,
( subsetE2
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ~ ( in @ X0 @ X1 )
=> ~ ( in @ X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f84]) ).
thf(f441,plain,
( ( subsetE2 = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( $true
!= ( in @ X0 @ X1 ) )
=> ( $true
!= ( in @ X0 @ X2 ) ) ) ) ),
inference(fool_elimination,[],[f440]) ).
thf(f502,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( funcSet @ X2 @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( in @ ( kpair @ X3 @ ( ap @ X2 @ X1 @ X0 @ X3 ) ) @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f210]) ).
thf(f503,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 )
=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X2 @ X1 ) ) )
=> ! [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
=> ( $true
= ( in @ ( kpair @ X3 @ ( ap @ X2 @ X1 @ X0 @ X3 ) ) @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f502]) ).
thf(f559,plain,
( funcGraphProp1
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( func @ X2 @ X0 @ X1 )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( in @ ( kpair @ X3 @ ( ap @ X2 @ X0 @ X1 @ X3 ) ) @ X1 ) ) ) ) ),
inference(rectify,[],[f208]) ).
thf(f560,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( $true
= ( func @ X2 @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ ( kpair @ X3 @ ( ap @ X2 @ X0 @ X1 @ X3 ) ) @ X1 )
= $true ) ) )
<=> ( funcGraphProp1 = $true ) ),
inference(fool_elimination,[],[f559]) ).
thf(f640,plain,
( ( subsetE2 = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( $true
!= ( in @ X0 @ X1 ) )
=> ( $true
!= ( in @ X0 @ X2 ) ) ) ) ),
inference(flattening,[],[f441]) ).
thf(f671,plain,
( ( infuncsetfunc = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( funcSet @ X1 @ X2 ) ) )
| ( $true
= ( func @ X1 @ X2 @ X0 ) ) ) ),
inference(ennf_transformation,[],[f341]) ).
thf(f704,plain,
( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
<=> ( eqimpsubset2 = $true ) ),
inference(ennf_transformation,[],[f214]) ).
thf(f721,plain,
( ( subsetE2 = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ X1 ) )
| ( ( subset @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f640]) ).
thf(f722,plain,
( ( subsetE2 = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
!= $true )
| ( $true
= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) ) ) ),
inference(flattening,[],[f721]) ).
thf(f810,plain,
( ? [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X2 @ X1 ) ) )
& ? [X3: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X2 @ X1 @ X0 @ X3 ) ) @ X0 ) )
& ( ( in @ X3 @ X2 )
= $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,[],[f503]) ).
thf(f811,plain,
( ( powersetE = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemER = $true )
& ( subsetRefl = $true )
& ( cartprodsndin = $true )
& ( upairset2IR = $true )
& ( binunionIR = $true )
& ( notsubsetI = $true )
& ( emptysetAx = $true )
& ( dpsetconstrEL2 = $true )
& ( bs114d = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( sepInPowerset = $true )
& ( cartprodmempair = $true )
& ( powersetI1 = $true )
& ( singletoninpowunion = $true )
& ( setunionAx = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3e = $true )
& ( setOfPairsIsBReln = $true )
& ( singletonprop = $true )
& ( ap2p = $true )
& ( binunionIL = $true )
& ( powerset__Cong = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset3 = $true )
& ( setminusSubset2 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL2 = $true )
& ( binintersectI = $true )
& ( powersetI = $true )
& ( emptyinPowerset = $true )
& ( setextAx = $true )
& ? [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X2 @ X1 ) ) )
& ? [X3: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X2 @ X1 @ X0 @ X3 ) ) @ X0 ) )
& ( ( in @ X3 @ X2 )
= $true ) ) )
& ( exuE2 = $true )
& ( app = $true )
& ( setminusER = $true )
& ( dpsetconstrEL1 = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( setadjoinIL = $true )
& ( setukpairinjR = $true )
& ( lamProp = $true )
& ( setminusI = $true )
& ( notdallE = $true )
& ( brelnall2 = $true )
& ( binunionLsub = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( notdexE = $true )
& ( dsetconstr__Cong = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton = $true )
& ( setukpairinjR12 = $true )
& ( emptyinunitempty = $true )
& ( kfstsingleton = $true )
& ( cartprodmempaircEq = $true )
& ( quantDeMorgan1 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( omega0Ax = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( in__Cong = $true )
& ( kfstpairEq = $true )
& ( quantDeMorgan4 = $true )
& ( singletoninpowerset = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( prop2set2propI = $true )
& ( descr__Cong = $true )
& ( emptysetE = $true )
& ( omega__Cong = $true )
& ( omegaSAx = $true )
& ( setunionE2 = $true )
& ( setadjoinAx = $true )
& ( inCongP = $true )
& ( upairsubunion = $true )
& ( cartprodpairmemEL = $true )
& ( setukpairIL = $true )
& ( subsetI1 = $true )
& ( notinsingleton = $true )
& ( cartprodfstin = $true )
& ( infuncsetfunc = $true )
& ( binunionEcases = $true )
& ( setextsub = $true )
& ( upairsetIL = $true )
& ( binintersectSubset2 = $true )
& ( emptyI = $true )
& ( binintersectRsub = $true )
& ( setminusLsub = $true )
& ( lam2p = $true )
& ( nonemptyE1 = $true )
& ( funcImageSingleton = $true )
& ( kpairsurjEq = $true )
& ( funcinfuncset = $true )
& ( kpairiskpair = $true )
& ( subsetE = $true )
& ( eqimpsubset1 = $true )
& ( upairsetE = $true )
& ( singletonsubset = $true )
& ( secondinupair = $true )
& ( theprop = $true )
& ( cartprodpairsurjEq = $true )
& ( disjointsetsI1 = $true )
& ( exu__Cong = $true )
& ( dpsetconstrER = $true )
& ( apProp = $true )
& ( binintersectLsub = $true )
& ( emptysetsubset = $true )
& ( symdiffI2 = $true )
& ( setext = $true )
& ( setukpairinjR2 = $true )
& ( ex1I2 = $true )
& ( cartprodpairin = $true )
& ( notinemptyset = $true )
& ( emptyset__Cong = $true )
& ( ksndsingleton = $true )
& ( subsetE2 = $true )
& ( setadjoinSub = $true )
& ( prop2setE = $true )
& ( exuI1 = $true )
& ( dpsetconstrERa = $true )
& ( upairsetIR = $true )
& ( upairinpowunion = $true )
& ( exuI2 = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( binintersectSubset1 = $true )
& ( omegaIndAx = $true )
& ( setukpairinjR1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinSub2 = $true )
& ( descrp = $true )
& ( singletonsuniq = $true )
& ( setminusIRneg = $true )
& ( dpsetconstrSub = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( binintersectER = $true )
& ( setunionE = $true )
& ( setminusERneg = $true )
& ( singletonsswitch = $true )
& ( subset2powerset = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairIR = $true )
& ( ex1E2 = $true )
& ( funcGraphProp1 = $true )
& ( dsetconstrI = $true )
& ( powersetE1 = $true )
& ( symdiffIneg1 = $true )
& ( ex1I = $true )
& ( cartprodmempair1 = $true )
& ( quantDeMorgan3 = $true )
& ( setunionsingleton1 = $true )
& ( nonemptyI = $true )
& ( setadjoinOr = $true )
& ( subsetemptysetimpeq = $true )
& ( setunion__Cong = $true )
& ( eqinunit = $true )
& ( ksndpairEq = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( nonemptyI1 = $true )
& ( setukpairinjL1 = $true )
& ( emptyE1 = $true )
& ( subPowSU = $true )
& ( setukpairinjL = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( prop2setI = $true )
& ( replAx = $true )
& ( kpairp = $true )
& ( ubforcartprodlem1 = $true )
& ( brelnall1 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( eqimpsubset2 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( setadjoinIR = $true )
& ( notequalI2 = $true )
& ( lamp = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( ex1E1 = $true )
& ( vacuousDall = $true )
& ( setunionI = $true )
& ( notequalI1 = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( setminusILneg = $true )
& ( dsetconstrER = $true )
& ( upairset2E = $true ) ),
inference(flattening,[],[f810]) ).
thf(f819,plain,
( ( funcGraphProp1 = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( ( in @ X3 @ X2 )
!= $true )
| ( ( in @ ( kpair @ X3 @ ( ap @ X2 @ X0 @ X1 @ X3 ) ) @ X1 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f560]) ).
thf(f898,plain,
( ( ( subsetE2 = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X0 @ X1 ) )
& ( $true
= ( in @ X0 @ X2 ) ) ) )
& ( ! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
!= $true )
| ( $true
= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) ) )
| ( subsetE2 != $true ) ) ),
inference(nnf_transformation,[],[f722]) ).
thf(f899,plain,
( ( ( subsetE2 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
& ( ( in @ X1 @ X0 )
!= $true )
& ( ( in @ X1 @ X2 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( subset @ X5 @ X3 ) )
| ( $true
= ( in @ X4 @ X3 ) )
| ( ( in @ X4 @ X5 )
!= $true ) )
| ( subsetE2 != $true ) ) ),
inference(rectify,[],[f898]) ).
thf(f900,plain,
( ( ( subsetE2 = $true )
| ( ( ( subset @ sK36 @ sK34 )
= $true )
& ( $true
!= ( in @ sK35 @ sK34 ) )
& ( $true
= ( in @ sK35 @ sK36 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( subset @ X5 @ X3 ) )
| ( $true
= ( in @ X4 @ X3 ) )
| ( ( in @ X4 @ X5 )
!= $true ) )
| ( subsetE2 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36)],[f899]) ).
thf(f1164,plain,
( ( powersetE = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemER = $true )
& ( subsetRefl = $true )
& ( cartprodsndin = $true )
& ( upairset2IR = $true )
& ( binunionIR = $true )
& ( notsubsetI = $true )
& ( emptysetAx = $true )
& ( dpsetconstrEL2 = $true )
& ( bs114d = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( sepInPowerset = $true )
& ( cartprodmempair = $true )
& ( powersetI1 = $true )
& ( singletoninpowunion = $true )
& ( setunionAx = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3e = $true )
& ( setOfPairsIsBReln = $true )
& ( singletonprop = $true )
& ( ap2p = $true )
& ( binunionIL = $true )
& ( powerset__Cong = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset3 = $true )
& ( setminusSubset2 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL2 = $true )
& ( binintersectI = $true )
& ( powersetI = $true )
& ( emptyinPowerset = $true )
& ( setextAx = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X1 @ X2 ) ) )
& ? [X3: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) )
& ( ( in @ X3 @ X1 )
= $true ) ) )
& ( exuE2 = $true )
& ( app = $true )
& ( setminusER = $true )
& ( dpsetconstrEL1 = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( setadjoinIL = $true )
& ( setukpairinjR = $true )
& ( lamProp = $true )
& ( setminusI = $true )
& ( notdallE = $true )
& ( brelnall2 = $true )
& ( binunionLsub = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( notdexE = $true )
& ( dsetconstr__Cong = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton = $true )
& ( setukpairinjR12 = $true )
& ( emptyinunitempty = $true )
& ( kfstsingleton = $true )
& ( cartprodmempaircEq = $true )
& ( quantDeMorgan1 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( omega0Ax = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( in__Cong = $true )
& ( kfstpairEq = $true )
& ( quantDeMorgan4 = $true )
& ( singletoninpowerset = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( prop2set2propI = $true )
& ( descr__Cong = $true )
& ( emptysetE = $true )
& ( omega__Cong = $true )
& ( omegaSAx = $true )
& ( setunionE2 = $true )
& ( setadjoinAx = $true )
& ( inCongP = $true )
& ( upairsubunion = $true )
& ( cartprodpairmemEL = $true )
& ( setukpairIL = $true )
& ( subsetI1 = $true )
& ( notinsingleton = $true )
& ( cartprodfstin = $true )
& ( infuncsetfunc = $true )
& ( binunionEcases = $true )
& ( setextsub = $true )
& ( upairsetIL = $true )
& ( binintersectSubset2 = $true )
& ( emptyI = $true )
& ( binintersectRsub = $true )
& ( setminusLsub = $true )
& ( lam2p = $true )
& ( nonemptyE1 = $true )
& ( funcImageSingleton = $true )
& ( kpairsurjEq = $true )
& ( funcinfuncset = $true )
& ( kpairiskpair = $true )
& ( subsetE = $true )
& ( eqimpsubset1 = $true )
& ( upairsetE = $true )
& ( singletonsubset = $true )
& ( secondinupair = $true )
& ( theprop = $true )
& ( cartprodpairsurjEq = $true )
& ( disjointsetsI1 = $true )
& ( exu__Cong = $true )
& ( dpsetconstrER = $true )
& ( apProp = $true )
& ( binintersectLsub = $true )
& ( emptysetsubset = $true )
& ( symdiffI2 = $true )
& ( setext = $true )
& ( setukpairinjR2 = $true )
& ( ex1I2 = $true )
& ( cartprodpairin = $true )
& ( notinemptyset = $true )
& ( emptyset__Cong = $true )
& ( ksndsingleton = $true )
& ( subsetE2 = $true )
& ( setadjoinSub = $true )
& ( prop2setE = $true )
& ( exuI1 = $true )
& ( dpsetconstrERa = $true )
& ( upairsetIR = $true )
& ( upairinpowunion = $true )
& ( exuI2 = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( binintersectSubset1 = $true )
& ( omegaIndAx = $true )
& ( setukpairinjR1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinSub2 = $true )
& ( descrp = $true )
& ( singletonsuniq = $true )
& ( setminusIRneg = $true )
& ( dpsetconstrSub = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( binintersectER = $true )
& ( setunionE = $true )
& ( setminusERneg = $true )
& ( singletonsswitch = $true )
& ( subset2powerset = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairIR = $true )
& ( ex1E2 = $true )
& ( funcGraphProp1 = $true )
& ( dsetconstrI = $true )
& ( powersetE1 = $true )
& ( symdiffIneg1 = $true )
& ( ex1I = $true )
& ( cartprodmempair1 = $true )
& ( quantDeMorgan3 = $true )
& ( setunionsingleton1 = $true )
& ( nonemptyI = $true )
& ( setadjoinOr = $true )
& ( subsetemptysetimpeq = $true )
& ( setunion__Cong = $true )
& ( eqinunit = $true )
& ( ksndpairEq = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( nonemptyI1 = $true )
& ( setukpairinjL1 = $true )
& ( emptyE1 = $true )
& ( subPowSU = $true )
& ( setukpairinjL = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( prop2setI = $true )
& ( replAx = $true )
& ( kpairp = $true )
& ( ubforcartprodlem1 = $true )
& ( brelnall1 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( eqimpsubset2 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( setadjoinIR = $true )
& ( notequalI2 = $true )
& ( lamp = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( ex1E1 = $true )
& ( vacuousDall = $true )
& ( setunionI = $true )
& ( notequalI1 = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( setminusILneg = $true )
& ( dsetconstrER = $true )
& ( upairset2E = $true ) ),
inference(rectify,[],[f811]) ).
thf(f1165,plain,
( ( powersetE = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemER = $true )
& ( subsetRefl = $true )
& ( cartprodsndin = $true )
& ( upairset2IR = $true )
& ( binunionIR = $true )
& ( notsubsetI = $true )
& ( emptysetAx = $true )
& ( dpsetconstrEL2 = $true )
& ( bs114d = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( sepInPowerset = $true )
& ( cartprodmempair = $true )
& ( powersetI1 = $true )
& ( singletoninpowunion = $true )
& ( setunionAx = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3e = $true )
& ( setOfPairsIsBReln = $true )
& ( singletonprop = $true )
& ( ap2p = $true )
& ( binunionIL = $true )
& ( powerset__Cong = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset3 = $true )
& ( setminusSubset2 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL2 = $true )
& ( binintersectI = $true )
& ( powersetI = $true )
& ( emptyinPowerset = $true )
& ( setextAx = $true )
& ( $true
= ( in @ sK298 @ ( funcSet @ sK299 @ sK300 ) ) )
& ( $true
!= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ sK298 ) )
& ( $true
= ( in @ sK301 @ sK299 ) )
& ( exuE2 = $true )
& ( app = $true )
& ( setminusER = $true )
& ( dpsetconstrEL1 = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( setadjoinIL = $true )
& ( setukpairinjR = $true )
& ( lamProp = $true )
& ( setminusI = $true )
& ( notdallE = $true )
& ( brelnall2 = $true )
& ( binunionLsub = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( notdexE = $true )
& ( dsetconstr__Cong = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton = $true )
& ( setukpairinjR12 = $true )
& ( emptyinunitempty = $true )
& ( kfstsingleton = $true )
& ( cartprodmempaircEq = $true )
& ( quantDeMorgan1 = $true )
& ( dsetconstrEL = $true )
& ( setbeta = $true )
& ( omega0Ax = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( in__Cong = $true )
& ( kfstpairEq = $true )
& ( quantDeMorgan4 = $true )
& ( singletoninpowerset = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( prop2set2propI = $true )
& ( descr__Cong = $true )
& ( emptysetE = $true )
& ( omega__Cong = $true )
& ( omegaSAx = $true )
& ( setunionE2 = $true )
& ( setadjoinAx = $true )
& ( inCongP = $true )
& ( upairsubunion = $true )
& ( cartprodpairmemEL = $true )
& ( setukpairIL = $true )
& ( subsetI1 = $true )
& ( notinsingleton = $true )
& ( cartprodfstin = $true )
& ( infuncsetfunc = $true )
& ( binunionEcases = $true )
& ( setextsub = $true )
& ( upairsetIL = $true )
& ( binintersectSubset2 = $true )
& ( emptyI = $true )
& ( binintersectRsub = $true )
& ( setminusLsub = $true )
& ( lam2p = $true )
& ( nonemptyE1 = $true )
& ( funcImageSingleton = $true )
& ( kpairsurjEq = $true )
& ( funcinfuncset = $true )
& ( kpairiskpair = $true )
& ( subsetE = $true )
& ( eqimpsubset1 = $true )
& ( upairsetE = $true )
& ( singletonsubset = $true )
& ( secondinupair = $true )
& ( theprop = $true )
& ( cartprodpairsurjEq = $true )
& ( disjointsetsI1 = $true )
& ( exu__Cong = $true )
& ( dpsetconstrER = $true )
& ( apProp = $true )
& ( binintersectLsub = $true )
& ( emptysetsubset = $true )
& ( symdiffI2 = $true )
& ( setext = $true )
& ( setukpairinjR2 = $true )
& ( ex1I2 = $true )
& ( cartprodpairin = $true )
& ( notinemptyset = $true )
& ( emptyset__Cong = $true )
& ( ksndsingleton = $true )
& ( subsetE2 = $true )
& ( setadjoinSub = $true )
& ( prop2setE = $true )
& ( exuI1 = $true )
& ( dpsetconstrERa = $true )
& ( upairsetIR = $true )
& ( upairinpowunion = $true )
& ( exuI2 = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( binintersectSubset1 = $true )
& ( omegaIndAx = $true )
& ( setukpairinjR1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinSub2 = $true )
& ( descrp = $true )
& ( singletonsuniq = $true )
& ( setminusIRneg = $true )
& ( dpsetconstrSub = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset4 = $true )
& ( binintersectER = $true )
& ( setunionE = $true )
& ( setminusERneg = $true )
& ( singletonsswitch = $true )
& ( subset2powerset = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairIR = $true )
& ( ex1E2 = $true )
& ( funcGraphProp1 = $true )
& ( dsetconstrI = $true )
& ( powersetE1 = $true )
& ( symdiffIneg1 = $true )
& ( ex1I = $true )
& ( cartprodmempair1 = $true )
& ( quantDeMorgan3 = $true )
& ( setunionsingleton1 = $true )
& ( nonemptyI = $true )
& ( setadjoinOr = $true )
& ( subsetemptysetimpeq = $true )
& ( setunion__Cong = $true )
& ( eqinunit = $true )
& ( ksndpairEq = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( nonemptyI1 = $true )
& ( setukpairinjL1 = $true )
& ( emptyE1 = $true )
& ( subPowSU = $true )
& ( setukpairinjL = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( prop2setI = $true )
& ( replAx = $true )
& ( kpairp = $true )
& ( ubforcartprodlem1 = $true )
& ( brelnall1 = $true )
& ( binunionE = $true )
& ( inPowerset = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( eqimpsubset2 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( setadjoinIR = $true )
& ( notequalI2 = $true )
& ( lamp = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( ex1E1 = $true )
& ( vacuousDall = $true )
& ( setunionI = $true )
& ( notequalI1 = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( subsetI2 = $true )
& ( setminusILneg = $true )
& ( dsetconstrER = $true )
& ( upairset2E = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK298,sK299,sK300,sK301]),skolemize(X0,sK298),skolemize(X1,sK299),skolemize(X2,sK300),skolemize(X3,sK301)],[f1164]) ).
thf(f1202,plain,
( ( ( infuncsetfunc = $true )
| ? [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X1 @ X2 ) ) )
& ( $true
!= ( func @ X1 @ X2 @ X0 ) ) ) )
& ( ! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( funcSet @ X1 @ X2 ) ) )
| ( $true
= ( func @ X1 @ X2 @ X0 ) ) )
| ( infuncsetfunc != $true ) ) ),
inference(nnf_transformation,[],[f671]) ).
thf(f1203,plain,
( ( ( infuncsetfunc = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( funcSet @ X2 @ X1 ) ) )
& ( $true
!= ( func @ X2 @ X1 @ X0 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X3 @ ( funcSet @ X5 @ X4 ) ) )
| ( ( func @ X5 @ X4 @ X3 )
= $true ) )
| ( infuncsetfunc != $true ) ) ),
inference(rectify,[],[f1202]) ).
thf(f1204,plain,
( ( ( infuncsetfunc = $true )
| ( ( $true
= ( in @ sK339 @ ( funcSet @ sK341 @ sK340 ) ) )
& ( $true
!= ( func @ sK341 @ sK340 @ sK339 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X3 @ ( funcSet @ X5 @ X4 ) ) )
| ( ( func @ X5 @ X4 @ X3 )
= $true ) )
| ( infuncsetfunc != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK339,sK340,sK341]),skolemize(X0,sK339),skolemize(X1,sK340),skolemize(X2,sK341)],[f1203]) ).
thf(f1417,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( eqimpsubset2 != $true ) )
& ( ( eqimpsubset2 = $true )
| ? [X0: $i,X1: $i] :
( ( X0 = X1 )
& ( ( subset @ X0 @ X1 )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f704]) ).
thf(f1418,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( eqimpsubset2 != $true ) )
& ( ( eqimpsubset2 = $true )
| ? [X2: $i,X3: $i] :
( ( X2 = X3 )
& ( $true
!= ( subset @ X2 @ X3 ) ) ) ) ),
inference(rectify,[],[f1417]) ).
thf(f1419,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( eqimpsubset2 != $true ) )
& ( ( eqimpsubset2 = $true )
| ( ( sK546 = sK545 )
& ( ( subset @ sK545 @ sK546 )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK545,sK546]),skolemize(X2,sK545),skolemize(X3,sK546)],[f1418]) ).
thf(f1459,plain,
( ( ( funcGraphProp1 = $true )
| ? [X1: $i,X2: $i,X0: $i] :
( ( $true
= ( func @ X2 @ X0 @ X1 ) )
& ? [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
& ( ( in @ ( kpair @ X3 @ ( ap @ X2 @ X0 @ X1 @ X3 ) ) @ X1 )
!= $true ) ) ) )
& ( ! [X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( ( in @ X3 @ X2 )
!= $true )
| ( ( in @ ( kpair @ X3 @ ( ap @ X2 @ X0 @ X1 @ X3 ) ) @ X1 )
= $true ) ) )
| ( funcGraphProp1 != $true ) ) ),
inference(nnf_transformation,[],[f819]) ).
thf(f1460,plain,
( ( ( funcGraphProp1 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( func @ X1 @ X2 @ X0 ) )
& ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( $true
!= ( func @ X5 @ X6 @ X4 ) )
| ! [X7: $i] :
( ( ( in @ X7 @ X5 )
!= $true )
| ( $true
= ( in @ ( kpair @ X7 @ ( ap @ X5 @ X6 @ X4 @ X7 ) ) @ X4 ) ) ) )
| ( funcGraphProp1 != $true ) ) ),
inference(rectify,[],[f1459]) ).
thf(f1461,plain,
( ( ( funcGraphProp1 = $true )
| ( ( $true
= ( func @ sK586 @ sK587 @ sK585 ) )
& ( $true
= ( in @ sK588 @ sK586 ) )
& ( $true
!= ( in @ ( kpair @ sK588 @ ( ap @ sK586 @ sK587 @ sK585 @ sK588 ) ) @ sK585 ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( $true
!= ( func @ X5 @ X6 @ X4 ) )
| ! [X7: $i] :
( ( ( in @ X7 @ X5 )
!= $true )
| ( $true
= ( in @ ( kpair @ X7 @ ( ap @ X5 @ X6 @ X4 @ X7 ) ) @ X4 ) ) ) )
| ( funcGraphProp1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK585,sK586,sK587,sK588]),skolemize(X0,sK585),skolemize(X1,sK586),skolemize(X2,sK587),skolemize(X3,sK588)],[f1460]) ).
thf(f1507,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ X3 ) )
| ( subsetE2 != $true )
| ( ( in @ X4 @ X5 )
!= $true )
| ( $true
!= ( subset @ X5 @ X3 ) ) ),
inference(cnf_transformation,[],[f900]) ).
thf(f1864,plain,
eqimpsubset2 = $true,
inference(cnf_transformation,[],[f1165]) ).
thf(f1896,plain,
funcGraphProp1 = $true,
inference(cnf_transformation,[],[f1165]) ).
thf(f1925,plain,
subsetE2 = $true,
inference(cnf_transformation,[],[f1165]) ).
thf(f1960,plain,
infuncsetfunc = $true,
inference(cnf_transformation,[],[f1165]) ).
thf(f2010,plain,
( $true
= ( in @ sK301 @ sK299 ) ),
inference(cnf_transformation,[],[f1165]) ).
thf(f2011,plain,
( $true
!= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ sK298 ) ),
inference(cnf_transformation,[],[f1165]) ).
thf(f2012,plain,
( $true
= ( in @ sK298 @ ( funcSet @ sK299 @ sK300 ) ) ),
inference(cnf_transformation,[],[f1165]) ).
thf(f2094,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( func @ X5 @ X4 @ X3 )
= $true )
| ( $true
!= ( in @ X3 @ ( funcSet @ X5 @ X4 ) ) )
| ( infuncsetfunc != $true ) ),
inference(cnf_transformation,[],[f1204]) ).
thf(f2386,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true )
| ( eqimpsubset2 != $true ) ),
inference(cnf_transformation,[],[f1419]) ).
thf(f2442,plain,
! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( funcGraphProp1 != $true )
| ( ( in @ X7 @ X5 )
!= $true )
| ( $true
!= ( func @ X5 @ X6 @ X4 ) )
| ( $true
= ( in @ ( kpair @ X7 @ ( ap @ X5 @ X6 @ X4 @ X7 ) ) @ X4 ) ) ),
inference(cnf_transformation,[],[f1461]) ).
thf(f2493,plain,
! [X1: $i] :
( ( eqimpsubset2 != $true )
| ( ( subset @ X1 @ X1 )
= $true ) ),
inference(equality_resolution,[],[f2386]) ).
thf(f2883,definition,
( spl595_53
<=> ( subsetE2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl595_53])],[avatar_definition]) ).
thf(f2910,definition,
( spl595_59
<=> ( $true
= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ sK298 ) ) ),
introduced(definition,[new_symbols(definition,[spl595_59])],[avatar_definition]) ).
thf(f2912,plain,
( ( $true
!= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ sK298 ) )
| spl595_59 ),
inference(avatar_component_clause,[],[f2910]) ).
thf(f2913,plain,
~ spl595_59,
inference(avatar_split_clause,[],[f2011,f2910]) ).
thf(f3430,definition,
( spl595_176
<=> ( funcGraphProp1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl595_176])],[avatar_definition]) ).
thf(f3439,definition,
( spl595_178
<=> ( eqimpsubset2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl595_178])],[avatar_definition]) ).
thf(f3448,definition,
( spl595_180
<=> ( $true
= ( in @ sK301 @ sK299 ) ) ),
introduced(definition,[new_symbols(definition,[spl595_180])],[avatar_definition]) ).
thf(f3450,plain,
( ( $true
= ( in @ sK301 @ sK299 ) )
| ~ spl595_180 ),
inference(avatar_component_clause,[],[f3448]) ).
thf(f3451,plain,
spl595_180,
inference(avatar_split_clause,[],[f2010,f3448]) ).
thf(f3772,definition,
( spl595_250
<=> ! [X1: $i] :
( ( subset @ X1 @ X1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl595_250])],[avatar_definition]) ).
thf(f3773,plain,
( ! [X1: $i] :
( ( subset @ X1 @ X1 )
= $true )
| ~ spl595_250 ),
inference(avatar_component_clause,[],[f3772]) ).
thf(f3910,definition,
( spl595_281
<=> ( $true
= ( in @ sK298 @ ( funcSet @ sK299 @ sK300 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl595_281])],[avatar_definition]) ).
thf(f3912,plain,
( ( $true
= ( in @ sK298 @ ( funcSet @ sK299 @ sK300 ) ) )
| ~ spl595_281 ),
inference(avatar_component_clause,[],[f3910]) ).
thf(f3913,plain,
spl595_281,
inference(avatar_split_clause,[],[f2012,f3910]) ).
thf(f4040,plain,
spl595_176,
inference(avatar_split_clause,[],[f1896,f3430]) ).
thf(f5176,definition,
( spl595_553
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( ( func @ X5 @ X4 @ X3 )
= $true )
| ( $true
!= ( in @ X3 @ ( funcSet @ X5 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl595_553])],[avatar_definition]) ).
thf(f5177,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X3 @ ( funcSet @ X5 @ X4 ) ) )
| ( ( func @ X5 @ X4 @ X3 )
= $true ) )
| ~ spl595_553 ),
inference(avatar_component_clause,[],[f5176]) ).
thf(f5179,definition,
( spl595_554
<=> ( infuncsetfunc = $true ) ),
introduced(definition,[new_symbols(definition,[spl595_554])],[avatar_definition]) ).
thf(f5182,plain,
( spl595_553
| ~ spl595_554 ),
inference(avatar_split_clause,[],[f2094,f5179,f5176]) ).
thf(f5394,plain,
spl595_554,
inference(avatar_split_clause,[],[f1960,f5179]) ).
thf(f5503,definition,
( spl595_622
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
!= $true )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl595_622])],[avatar_definition]) ).
thf(f5504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( ( subset @ X1 @ X2 )
!= $true ) )
| ~ spl595_622 ),
inference(avatar_component_clause,[],[f5503]) ).
thf(f5689,definition,
( spl595_660
<=> ! [X5: $i,X4: $i,X7: $i,X6: $i] :
( ( ( in @ X7 @ X5 )
!= $true )
| ( $true
= ( in @ ( kpair @ X7 @ ( ap @ X5 @ X6 @ X4 @ X7 ) ) @ X4 ) )
| ( $true
!= ( func @ X5 @ X6 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl595_660])],[avatar_definition]) ).
thf(f5690,plain,
( ! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ ( kpair @ X7 @ ( ap @ X5 @ X6 @ X4 @ X7 ) ) @ X4 ) )
| ( $true
!= ( func @ X5 @ X6 @ X4 ) )
| ( ( in @ X7 @ X5 )
!= $true ) )
| ~ spl595_660 ),
inference(avatar_component_clause,[],[f5689]) ).
thf(f5691,plain,
( spl595_660
| ~ spl595_176 ),
inference(avatar_split_clause,[],[f2442,f3430,f5689]) ).
thf(f5782,plain,
spl595_53,
inference(avatar_split_clause,[],[f1925,f2883]) ).
thf(f5807,plain,
( spl595_250
| ~ spl595_178 ),
inference(avatar_split_clause,[],[f2493,f3439,f3772]) ).
thf(f6554,plain,
spl595_178,
inference(avatar_split_clause,[],[f1864,f3439]) ).
thf(f6719,plain,
( ~ spl595_53
| spl595_622 ),
inference(avatar_split_clause,[],[f1507,f5503,f2883]) ).
thf(f7941,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ X0 ) )
| ( ( subset @ X0 @ sK298 )
!= $true )
| ( $true != $true ) )
| spl595_59
| ~ spl595_622 ),
inference(superposition,[],[f2912,f5504]) ).
thf(f7963,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( kpair @ sK301 @ ( ap @ sK299 @ sK300 @ sK298 @ sK301 ) ) @ X0 ) )
| ( ( subset @ X0 @ sK298 )
!= $true ) )
| spl595_59
| ~ spl595_622 ),
inference(trivial_inequality_removal,[],[f7941]) ).
thf(f8786,plain,
( ( $true != $true )
| ( ( func @ sK299 @ sK300 @ sK298 )
= $true )
| ~ spl595_281
| ~ spl595_553 ),
inference(superposition,[],[f5177,f3912]) ).
thf(f8797,plain,
( ( ( func @ sK299 @ sK300 @ sK298 )
= $true )
| ~ spl595_281
| ~ spl595_553 ),
inference(trivial_inequality_removal,[],[f8786]) ).
thf(f8805,definition,
( spl595_965
<=> ( ( func @ sK299 @ sK300 @ sK298 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl595_965])],[avatar_definition]) ).
thf(f8807,plain,
( ( ( func @ sK299 @ sK300 @ sK298 )
= $true )
| ~ spl595_965 ),
inference(avatar_component_clause,[],[f8805]) ).
thf(f8808,plain,
( spl595_965
| ~ spl595_281
| ~ spl595_553 ),
inference(avatar_split_clause,[],[f8797,f5176,f3910,f8805]) ).
thf(f10551,plain,
( ( $true != $true )
| ( ( subset @ sK298 @ sK298 )
!= $true )
| ( $true
!= ( in @ sK301 @ sK299 ) )
| ( ( func @ sK299 @ sK300 @ sK298 )
!= $true )
| spl595_59
| ~ spl595_622
| ~ spl595_660 ),
inference(superposition,[],[f7963,f5690]) ).
thf(f10593,plain,
( ( ( subset @ sK298 @ sK298 )
!= $true )
| ( ( func @ sK299 @ sK300 @ sK298 )
!= $true )
| ( $true
!= ( in @ sK301 @ sK299 ) )
| spl595_59
| ~ spl595_622
| ~ spl595_660 ),
inference(trivial_inequality_removal,[],[f10551]) ).
thf(f10619,plain,
( ( $true
!= ( in @ sK301 @ sK299 ) )
| ( ( func @ sK299 @ sK300 @ sK298 )
!= $true )
| spl595_59
| ~ spl595_250
| ~ spl595_622
| ~ spl595_660 ),
inference(forward_subsumption_resolution,[],[f10593,f3773]) ).
thf(f10626,plain,
( ( ( func @ sK299 @ sK300 @ sK298 )
!= $true )
| spl595_59
| ~ spl595_180
| ~ spl595_250
| ~ spl595_622
| ~ spl595_660 ),
inference(forward_subsumption_resolution,[],[f10619,f3450]) ).
thf(f10630,plain,
( $false
| spl595_59
| ~ spl595_180
| ~ spl595_250
| ~ spl595_622
| ~ spl595_660
| ~ spl595_965 ),
inference(forward_subsumption_resolution,[],[f10626,f8807]) ).
thf(f10631,plain,
( spl595_59
| ~ spl595_180
| ~ spl595_250
| ~ spl595_622
| ~ spl595_660
| ~ spl595_965 ),
inference(avatar_contradiction_clause,[],[f10630]) ).
cnf(s34,plain,
~ spl595_59,
inference(sat_conversion,[],[f2913]) ).
cnf(s113,plain,
spl595_180,
inference(sat_conversion,[],[f3451]) ).
cnf(s200,plain,
spl595_281,
inference(sat_conversion,[],[f3913]) ).
cnf(s223,plain,
spl595_176,
inference(sat_conversion,[],[f4040]) ).
cnf(s466,plain,
( spl595_553
| ~ spl595_554 ),
inference(sat_conversion,[],[f5182]) ).
cnf(s514,plain,
spl595_554,
inference(sat_conversion,[],[f5394]) ).
cnf(s593,plain,
( ~ spl595_176
| spl595_660 ),
inference(sat_conversion,[],[f5691]) ).
cnf(s617,plain,
spl595_53,
inference(sat_conversion,[],[f5782]) ).
cnf(s626,plain,
( ~ spl595_178
| spl595_250 ),
inference(sat_conversion,[],[f5807]) ).
cnf(s816,plain,
spl595_178,
inference(sat_conversion,[],[f6554]) ).
cnf(s864,plain,
( ~ spl595_53
| spl595_622 ),
inference(sat_conversion,[],[f6719]) ).
cnf(s997,plain,
( ~ spl595_281
| ~ spl595_553
| spl595_965 ),
inference(sat_conversion,[],[f8808]) ).
cnf(s1027,plain,
( spl595_59
| ~ spl595_180
| ~ spl595_250
| ~ spl595_622
| ~ spl595_660
| ~ spl595_965 ),
inference(sat_conversion,[],[f10631]) ).
cnf(s1063,plain,
spl595_250,
inference(rat,[],[s626,s816]) ).
cnf(s1065,plain,
spl595_622,
inference(rat,[],[s864,s617]) ).
cnf(s1100,plain,
spl595_553,
inference(rat,[],[s466,s514]) ).
cnf(s1186,plain,
spl595_660,
inference(rat,[],[s593,s223]) ).
cnf(s1195,plain,
spl595_965,
inference(rat,[],[s997,s1100,s200]) ).
cnf(s1251,plain,
spl595_59,
inference(rat,[],[s1027,s1195,s1186,s1065,s1063,s113]) ).
cnf(s1286,plain,
$false,
inference(rat,[],[s34,s1251]) ).
thf(f10632,plain,
$false,
inference(avatar_sat_refutation,[],[s1286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU685^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 14:08:48 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.76/0.37 % (828115)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.37 % (828126)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.37 % (828126)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
% 0.76/0.37 % (828126)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=4183852228:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.37 % (828124)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1223164222:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.37 % (828122)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1334012260:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.37 % (828120)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2871079515:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.37 % (828121)lrs+10_16_si=on:nwc=1.5:random_seed=2638066638:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.37 % (828123)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=282336482: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)
% 0.76/0.37 % (828125)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3773933080:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.37 % (828122)Instruction limit reached!
% 0.76/0.37 % (828122)------------------------------
% 0.76/0.37 % (828122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (828122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (828122)CaDiCaL version: 2.1.3
% 0.76/0.37 % (828122)Termination reason: Instruction limit
% 0.76/0.37 % (828122)Termination phase: shuffling
% 0.76/0.37 % (828122)Time elapsed: 0.002 s
% 0.76/0.37 % (828122)Peak memory usage: 10 MB
% 0.76/0.37 % (828122)Instructions burned: 3 (million)
% 0.76/0.37 % (828121)Instruction limit reached!
% 0.76/0.37 % (828121)------------------------------
% 0.76/0.37 % (828121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (828121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (828121)CaDiCaL version: 2.1.3
% 0.76/0.37 % (828121)Termination reason: Instruction limit
% 0.76/0.37 % (828121)Termination phase: shuffling
% 0.76/0.37 % (828121)Time elapsed: 0.008 s
% 0.76/0.37 % (828121)Peak memory usage: 10 MB
% 0.76/0.37 % (828121)Instructions burned: 19 (million)
% 0.76/0.37 % (828124)Instruction limit reached!
% 0.76/0.37 % (828124)------------------------------
% 0.76/0.37 % (828124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (828124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (828124)CaDiCaL version: 2.1.3
% 0.76/0.37 % (828124)Termination reason: Instruction limit
% 0.76/0.37 % (828124)Termination phase: Property scanning
% 0.76/0.37 % (828124)Time elapsed: 0.011 s
% 0.76/0.37 % (828124)Peak memory usage: 10 MB
% 0.76/0.37 % (828124)Instructions burned: 26 (million)
% 0.76/0.37 % (828134)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3226612874:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.37 % (828134)Instruction limit reached!
% 0.76/0.37 % (828134)------------------------------
% 0.76/0.37 % (828134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (828134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (828134)CaDiCaL version: 2.1.3
% 0.76/0.37 % (828134)Termination reason: Instruction limit
% 0.76/0.37 % (828134)Termination phase: shuffling
% 0.76/0.37 % (828134)Time elapsed: 0.002 s
% 0.76/0.37 % (828134)Peak memory usage: 10 MB
% 0.76/0.37 % (828134)Instructions burned: 3 (million)
% 0.76/0.37 % (828136)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.37 % (828135)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2245861586:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.40 % (828126)Instruction limit reached!
% 0.76/0.40 % (828126)------------------------------
% 0.76/0.40 % (828126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (828126)CaDiCaL version: 2.1.3
% 0.76/0.40 % (828126)Termination reason: Instruction limit
% 0.76/0.40 % (828126)Termination phase: Saturation
% 0.76/0.40 % (828126)Time elapsed: 0.036 s
% 0.76/0.40 % (828126)Peak memory usage: 14 MB
% 0.76/0.40 % (828126)Instructions burned: 161 (million)
% 0.76/0.40 % (828136)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1575673742:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.40 % (828135)Instruction limit reached!
% 0.76/0.40 % (828135)------------------------------
% 0.76/0.40 % (828135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (828135)CaDiCaL version: 2.1.3
% 0.76/0.40 % (828135)Termination reason: Instruction limit
% 0.76/0.40 % (828135)Termination phase: shuffling
% 0.76/0.40 % (828135)Time elapsed: 0.003 s
% 0.76/0.40 % (828135)Peak memory usage: 10 MB
% 0.76/0.40 % (828135)Instructions burned: 6 (million)
% 0.76/0.40 % (828136)Instruction limit reached!
% 0.76/0.40 % (828136)------------------------------
% 0.76/0.40 % (828136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (828136)CaDiCaL version: 2.1.3
% 0.76/0.40 % (828136)Termination reason: Instruction limit
% 0.76/0.40 % (828136)Termination phase: shuffling
% 0.76/0.40 % (828136)Time elapsed: 0.004 s
% 0.76/0.40 % (828136)Peak memory usage: 10 MB
% 0.76/0.40 % (828136)Instructions burned: 9 (million)
% 0.76/0.40 % (828125)Instruction limit reached!
% 0.76/0.40 % (828125)------------------------------
% 0.76/0.40 % (828125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (828125)CaDiCaL version: 2.1.3
% 0.76/0.40 % (828125)Termination reason: Instruction limit
% 0.76/0.40 % (828125)Termination phase: Property scanning
% 0.76/0.40 % (828125)Time elapsed: 0.035 s
% 0.76/0.40 % (828125)Peak memory usage: 13 MB
% 0.76/0.40 % (828125)Instructions burned: 76 (million)
% 0.76/0.40 % (828140)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
% 0.76/0.40 % (828140)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.40 % (828140)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=443426014:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.40 % (828120)Instruction limit reached!
% 0.76/0.40 % (828120)------------------------------
% 0.76/0.40 % (828120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (828120)CaDiCaL version: 2.1.3
% 0.76/0.40 % (828120)Termination reason: Instruction limit
% 0.76/0.40 % (828120)Termination phase: Property scanning
% 0.76/0.40 % (828120)Time elapsed: 0.040 s
% 0.76/0.40 % (828120)Peak memory usage: 12 MB
% 0.76/0.40 % (828120)Instructions burned: 89 (million)
% 0.76/0.40 % (828138)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1868791653:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.40 % (828142)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=1045660017:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.40 % (828138)Instruction limit reached!
% 0.76/0.40 % (828138)------------------------------
% 0.76/0.40 % (828138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (828138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828138)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828138)Termination reason: Instruction limit
% 0.76/0.44 % (828138)Termination phase: shuffling
% 0.76/0.44 % (828138)Time elapsed: 0.007 s
% 0.76/0.44 % (828138)Peak memory usage: 10 MB
% 0.76/0.44 % (828138)Instructions burned: 13 (million)
% 0.76/0.44 % (828140)Instruction limit reached!
% 0.76/0.44 % (828140)------------------------------
% 0.76/0.44 % (828140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (828140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828140)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828140)Termination reason: Instruction limit
% 0.76/0.44 % (828140)Termination phase: Property scanning
% 0.76/0.44 % (828140)Time elapsed: 0.010 s
% 0.76/0.44 % (828140)Peak memory usage: 10 MB
% 0.76/0.44 % (828140)Instructions burned: 46 (million)
% 0.76/0.44 % (828144)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.44 % (828143)lrs+10_1_si=on:cs=on:random_seed=2645676668:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.44 % (828144)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=662034105:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.44 % (828144)Instruction limit reached!
% 0.76/0.44 % (828144)------------------------------
% 0.76/0.44 % (828144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (828144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828144)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828144)Termination reason: Instruction limit
% 0.76/0.44 % (828144)Termination phase: shuffling
% 0.76/0.44 % (828144)Time elapsed: 0.001 s
% 0.76/0.44 % (828144)Peak memory usage: 10 MB
% 0.76/0.44 % (828144)Instructions burned: 2 (million)
% 0.76/0.44 % (828143)Instruction limit reached!
% 0.76/0.44 % (828143)------------------------------
% 0.76/0.44 % (828143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (828143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828143)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828143)Termination reason: Instruction limit
% 0.76/0.44 % (828143)Termination phase: shuffling
% 0.76/0.44 % (828143)Time elapsed: 0.005 s
% 0.76/0.44 % (828143)Peak memory usage: 10 MB
% 0.76/0.44 % (828143)Instructions burned: 10 (million)
% 0.76/0.44 % (828146)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3066790915:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.44 % (828149)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4141594179:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.44 % (828150)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4032823873:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.44 % (828153)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1511329712:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.44 % (828146)Instruction limit reached!
% 0.76/0.44 % (828146)------------------------------
% 0.76/0.44 % (828146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (828146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828146)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828146)Termination reason: Instruction limit
% 0.76/0.44 % (828146)Termination phase: Preprocessing 3
% 0.76/0.44 % (828146)Time elapsed: 0.018 s
% 0.76/0.44 % (828146)Peak memory usage: 11 MB
% 0.76/0.44 % (828146)Instructions burned: 39 (million)
% 0.76/0.44 % (828155)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2528960556:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.76/0.44 % (828153)Instruction limit reached!
% 0.76/0.44 % (828153)------------------------------
% 0.76/0.44 % (828153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (828153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (828153)CaDiCaL version: 2.1.3
% 0.76/0.44 % (828153)Termination reason: Instruction limit
% 0.76/0.44 % (828153)Termination phase: shuffling
% 0.76/0.44 % (828153)Time elapsed: 0.006 s
% 1.48/0.49 % (828153)Peak memory usage: 10 MB
% 1.48/0.49 % (828153)Instructions burned: 14 (million)
% 1.48/0.49 % (828142)Instruction limit reached!
% 1.48/0.49 % (828142)------------------------------
% 1.48/0.49 % (828142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828142)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828142)Termination reason: Instruction limit
% 1.48/0.49 % (828142)Termination phase: Property scanning
% 1.48/0.49 % (828142)Time elapsed: 0.035 s
% 1.48/0.49 % (828142)Peak memory usage: 11 MB
% 1.48/0.49 % (828142)Instructions burned: 86 (million)
% 1.48/0.49 % (828150)Instruction limit reached!
% 1.48/0.49 % (828150)------------------------------
% 1.48/0.49 % (828150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828150)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828150)Termination reason: Instruction limit
% 1.48/0.49 % (828150)Termination phase: Property scanning
% 1.48/0.49 % (828150)Time elapsed: 0.012 s
% 1.48/0.49 % (828150)Peak memory usage: 10 MB
% 1.48/0.49 % (828150)Instructions burned: 26 (million)
% 1.48/0.49 % (828160)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=243826882:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.49 % (828161)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1241945416: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)
% 1.48/0.49 % (828160)Instruction limit reached!
% 1.48/0.49 % (828160)------------------------------
% 1.48/0.49 % (828160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828160)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828160)Termination reason: Instruction limit
% 1.48/0.49 % (828160)Termination phase: shuffling
% 1.48/0.49 % (828160)Time elapsed: 0.006 s
% 1.48/0.49 % (828160)Peak memory usage: 10 MB
% 1.48/0.49 % (828160)Instructions burned: 14 (million)
% 1.48/0.49 % (828162)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3707869546:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.48/0.49 % (828163)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=544392970:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.49 % (828161)Instruction limit reached!
% 1.48/0.49 % (828161)------------------------------
% 1.48/0.49 % (828161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828161)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828161)Termination reason: Instruction limit
% 1.48/0.49 % (828161)Termination phase: shuffling
% 1.48/0.49 % (828161)Time elapsed: 0.002 s
% 1.48/0.49 % (828161)Peak memory usage: 10 MB
% 1.48/0.49 % (828161)Instructions burned: 3 (million)
% 1.48/0.49 % (828163)Instruction limit reached!
% 1.48/0.49 % (828163)------------------------------
% 1.48/0.49 % (828163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828163)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828163)Termination reason: Instruction limit
% 1.48/0.49 % (828163)Termination phase: shuffling
% 1.48/0.49 % (828163)Time elapsed: 0.010 s
% 1.48/0.49 % (828163)Peak memory usage: 10 MB
% 1.48/0.49 % (828163)Instructions burned: 23 (million)
% 1.48/0.49 % (828162)Instruction limit reached!
% 1.48/0.49 % (828162)------------------------------
% 1.48/0.49 % (828162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.49 % (828162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.49 % (828162)CaDiCaL version: 2.1.3
% 1.48/0.49 % (828162)Termination reason: Instruction limit
% 1.48/0.49 % (828162)Termination phase: shuffling
% 1.48/0.49 % (828162)Time elapsed: 0.012 s
% 1.48/0.49 % (828162)Peak memory usage: 10 MB
% 1.48/0.49 % (828162)Instructions burned: 26 (million)
% 1.48/0.49 % (828169)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
% 1.48/0.55 % (828169)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.48/0.55 % (828167)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2456477113:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.48/0.55 % (828169)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=3322261158:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.55 % (828149)Instruction limit reached!
% 1.48/0.55 % (828149)------------------------------
% 1.48/0.55 % (828149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.55 % (828149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.55 % (828149)CaDiCaL version: 2.1.3
% 1.48/0.55 % (828149)Termination reason: Instruction limit
% 1.48/0.55 % (828149)Termination phase: Saturation
% 1.48/0.55 % (828149)Time elapsed: 0.063 s
% 1.48/0.55 % (828149)Peak memory usage: 15 MB
% 1.48/0.55 % (828149)Instructions burned: 252 (million)
% 1.48/0.55 % (828170)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.48/0.55 % (828169)Instruction limit reached!
% 1.48/0.55 % (828169)------------------------------
% 1.48/0.55 % (828169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.55 % (828169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.55 % (828169)CaDiCaL version: 2.1.3
% 1.48/0.55 % (828169)Termination reason: Instruction limit
% 1.48/0.55 % (828169)Termination phase: shuffling
% 1.48/0.55 % (828169)Time elapsed: 0.007 s
% 1.48/0.55 % (828169)Peak memory usage: 10 MB
% 1.48/0.55 % (828169)Instructions burned: 16 (million)
% 1.48/0.55 % (828170)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=2363287082:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.48/0.55 % (828171)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=271668560:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.48/0.55 % (828174)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2328892635:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.48/0.55 % (828174)Instruction limit reached!
% 1.48/0.55 % (828174)------------------------------
% 1.48/0.55 % (828174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.55 % (828174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.55 % (828174)CaDiCaL version: 2.1.3
% 1.48/0.55 % (828174)Termination reason: Instruction limit
% 1.48/0.55 % (828174)Termination phase: shuffling
% 1.48/0.55 % (828174)Time elapsed: 0.002 s
% 1.48/0.55 % (828174)Peak memory usage: 10 MB
% 1.48/0.55 % (828174)Instructions burned: 8 (million)
% 1.48/0.55 % (828170)Instruction limit reached!
% 1.48/0.55 % (828170)------------------------------
% 1.48/0.55 % (828170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.55 % (828170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.55 % (828170)CaDiCaL version: 2.1.3
% 1.48/0.55 % (828170)Termination reason: Instruction limit
% 1.48/0.55 % (828170)Termination phase: shuffling
% 1.48/0.55 % (828170)Time elapsed: 0.004 s
% 1.48/0.55 % (828170)Peak memory usage: 10 MB
% 1.48/0.55 % (828170)Instructions burned: 9 (million)
% 1.48/0.55 % (828179)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=805907965:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.48/0.55 % (828171)Instruction limit reached!
% 1.48/0.55 % (828171)------------------------------
% 1.48/0.55 % (828171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.55 % (828171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.55 % (828171)CaDiCaL version: 2.1.3
% 1.48/0.55 % (828171)Termination reason: Instruction limit
% 1.48/0.55 % (828171)Termination phase: Property scanning
% 1.48/0.55 % (828171)Time elapsed: 0.016 s
% 1.48/0.55 % (828171)Peak memory usage: 10 MB
% 1.48/0.55 % (828171)Instructions burned: 37 (million)
% 1.48/0.55 % (828167)Instruction limit reached!
% 1.48/0.55 % (828167)------------------------------
% 2.21/0.61 % (828167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828167)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828167)Termination reason: Instruction limit
% 2.21/0.61 % (828167)Termination phase: Preprocessing 3
% 2.21/0.61 % (828167)Time elapsed: 0.029 s
% 2.21/0.61 % (828167)Peak memory usage: 12 MB
% 2.21/0.61 % (828167)Instructions burned: 62 (million)
% 2.21/0.61 % (828175)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3513878098:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.21/0.61 % (828179)Instruction limit reached!
% 2.21/0.61 % (828179)------------------------------
% 2.21/0.61 % (828179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828179)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828179)Termination reason: Instruction limit
% 2.21/0.61 % (828179)Termination phase: shuffling
% 2.21/0.61 % (828179)Time elapsed: 0.005 s
% 2.21/0.61 % (828179)Peak memory usage: 10 MB
% 2.21/0.61 % (828179)Instructions burned: 22 (million)
% 2.21/0.61 % (828180)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3905792441:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.21/0.61 % (828175)Instruction limit reached!
% 2.21/0.61 % (828175)------------------------------
% 2.21/0.61 % (828175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828175)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828175)Termination reason: Instruction limit
% 2.21/0.61 % (828175)Termination phase: shuffling
% 2.21/0.61 % (828175)Time elapsed: 0.010 s
% 2.21/0.61 % (828175)Peak memory usage: 10 MB
% 2.21/0.61 % (828175)Instructions burned: 23 (million)
% 2.21/0.61 % (828185)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1964963966:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.21/0.61 % (828182)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2610829839:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.21/0.61 % (828183)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=288280435:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.21/0.61 % (828185)Instruction limit reached!
% 2.21/0.61 % (828185)------------------------------
% 2.21/0.61 % (828185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828185)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828185)Termination reason: Instruction limit
% 2.21/0.61 % (828185)Termination phase: Property scanning
% 2.21/0.61 % (828185)Time elapsed: 0.010 s
% 2.21/0.61 % (828185)Peak memory usage: 11 MB
% 2.21/0.61 % (828185)Instructions burned: 43 (million)
% 2.21/0.61 % (828187)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.21/0.61 % (828187)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3780222457:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.21/0.61 % (828191)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2401032622:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.21/0.61 % (828187)Instruction limit reached!
% 2.21/0.61 % (828187)------------------------------
% 2.21/0.61 % (828187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828187)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828187)Termination reason: Instruction limit
% 2.21/0.61 % (828187)Termination phase: shuffling
% 2.21/0.61 % (828187)Time elapsed: 0.004 s
% 2.21/0.61 % (828187)Peak memory usage: 10 MB
% 2.21/0.61 % (828187)Instructions burned: 9 (million)
% 2.21/0.61 % (828194)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=1295902321:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.21/0.61 % (828191)Instruction limit reached!
% 2.21/0.61 % (828191)------------------------------
% 2.21/0.61 % (828191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828191)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828191)Termination reason: Instruction limit
% 2.21/0.61 % (828191)Termination phase: Saturation
% 2.21/0.61 % (828191)Time elapsed: 0.042 s
% 2.21/0.61 % (828191)Peak memory usage: 14 MB
% 2.21/0.61 % (828191)Instructions burned: 183 (million)
% 2.21/0.61 % (828155)Instruction limit reached!
% 2.21/0.61 % (828155)------------------------------
% 2.21/0.61 % (828155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828155)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828155)Termination reason: Instruction limit
% 2.21/0.61 % (828155)Termination phase: Saturation
% 2.21/0.61 % (828155)Time elapsed: 0.153 s
% 2.21/0.61 % (828155)Peak memory usage: 15 MB
% 2.21/0.61 % (828155)Instructions burned: 327 (million)
% 2.21/0.61 % (828182)Instruction limit reached!
% 2.21/0.61 % (828182)------------------------------
% 2.21/0.61 % (828182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828182)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828182)Termination reason: Instruction limit
% 2.21/0.61 % (828182)Termination phase: Saturation
% 2.21/0.61 % (828182)Time elapsed: 0.061 s
% 2.21/0.61 % (828182)Peak memory usage: 14 MB
% 2.21/0.61 % (828182)Instructions burned: 145 (million)
% 2.21/0.61 % (828196)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.21/0.61 % (828196)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2258144324:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.21/0.61 % (828196)Instruction limit reached!
% 2.21/0.61 % (828196)------------------------------
% 2.21/0.61 % (828196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828196)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828196)Termination reason: Instruction limit
% 2.21/0.61 % (828196)Termination phase: shuffling
% 2.21/0.61 % (828196)Time elapsed: 0.002 s
% 2.21/0.61 % (828196)Peak memory usage: 10 MB
% 2.21/0.61 % (828196)Instructions burned: 8 (million)
% 2.21/0.61 % (828197)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3285484426:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.21/0.61 % (828198)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=262186872:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.21/0.61 % (828200)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=615728825:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.21/0.61 % (828183)Instruction limit reached!
% 2.21/0.61 % (828183)------------------------------
% 2.21/0.61 % (828183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828183)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828183)Termination reason: Instruction limit
% 2.21/0.61 % (828183)Termination phase: Saturation
% 2.21/0.61 % (828183)Time elapsed: 0.085 s
% 2.21/0.61 % (828183)Peak memory usage: 14 MB
% 2.21/0.61 % (828183)Instructions burned: 194 (million)
% 2.21/0.61 % (828198)Instruction limit reached!
% 2.21/0.61 % (828198)------------------------------
% 2.21/0.61 % (828198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828198)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828198)Termination reason: Instruction limit
% 2.21/0.61 % (828198)Termination phase: shuffling
% 2.21/0.61 % (828198)Time elapsed: 0.009 s
% 2.21/0.61 % (828198)Peak memory usage: 10 MB
% 2.21/0.61 % (828198)Instructions burned: 19 (million)
% 2.21/0.61 % (828197)Instruction limit reached!
% 2.21/0.61 % (828197)------------------------------
% 2.21/0.61 % (828197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828197)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828197)Termination reason: Instruction limit
% 2.21/0.61 % (828197)Termination phase: shuffling
% 2.21/0.61 % (828197)Time elapsed: 0.010 s
% 2.21/0.61 % (828197)Peak memory usage: 10 MB
% 2.21/0.61 % (828197)Instructions burned: 23 (million)
% 2.21/0.61 % (828204)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1948669320:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.21/0.61 % (828205)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=150741270:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.21/0.61 % (828194)Instruction limit reached!
% 2.21/0.61 % (828194)------------------------------
% 2.21/0.61 % (828194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828194)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828194)Termination reason: Instruction limit
% 2.21/0.61 % (828194)Termination phase: Saturation
% 2.21/0.61 % (828194)Time elapsed: 0.072 s
% 2.21/0.61 % (828194)Peak memory usage: 14 MB
% 2.21/0.61 % (828194)Instructions burned: 170 (million)
% 2.21/0.61 % (828206)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1831400744:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.21/0.61 % (828210)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2666484424:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.21/0.61 % (828205)Instruction limit reached!
% 2.21/0.61 % (828205)------------------------------
% 2.21/0.61 % (828205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828205)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828205)Termination reason: Instruction limit
% 2.21/0.61 % (828205)Termination phase: Naming
% 2.21/0.61 % (828205)Time elapsed: 0.020 s
% 2.21/0.61 % (828205)Peak memory usage: 11 MB
% 2.21/0.61 % (828205)Instructions burned: 45 (million)
% 2.21/0.61 % (828210)Instruction limit reached!
% 2.21/0.61 % (828210)------------------------------
% 2.21/0.61 % (828210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828210)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828210)Termination reason: Instruction limit
% 2.21/0.61 % (828210)Termination phase: shuffling
% 2.21/0.61 % (828210)Time elapsed: 0.010 s
% 2.21/0.61 % (828210)Peak memory usage: 11 MB
% 2.21/0.61 % (828210)Instructions burned: 23 (million)
% 2.21/0.61 % (828123) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-828115-828123"...
% 2.21/0.61 % (828212)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.21/0.61 % (828212)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=744325070:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.21/0.61 % (828123)...printing done.
% 2.21/0.61 % (828123)Refutation found. Thanks to Tanya!
% 2.21/0.61 % SZS status Theorem for theBenchmark
% 2.21/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.61 % (828123)------------------------------
% 2.21/0.61 % (828123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.61 % (828123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.61 % (828123)CaDiCaL version: 2.1.3
% 2.21/0.61 % (828123)Termination reason: Refutation
% 2.21/0.61 % (828123)Time elapsed: 0.319 s
% 2.21/0.61 % (828123)Peak memory usage: 20 MB
% 2.21/0.61 % (828123)Instructions burned: 603 (million)
% 2.21/0.61 % (828115)Success in time 0.371 s
% 2.21/0.61 % Vampire exiting
%------------------------------------------------------------------------------