%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU723^1 : 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 : n026.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 08:30:58 AM UTC 2026
% Result : Theorem 3.75s 0.95s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 24 unt; 0 typ; 7 def)
% Number of atoms : 4831 (1328 equ; 0 cnn)
% Maximal formula atoms : 245 ( 71 avg)
% Number of connectives : 2484 ( 93 ~; 64 |; 747 &; 334 @)
% ( 14 <=>;1232 =>; 0 <=; 0 <~>)
% Maximal formula depth : 253 ( 33 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 : 470 ( 467 usr; 275 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 90 !; 20 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_280,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_281,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_282,type,
vNOT: $o > $o ).
thf(func_def_283,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_284,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_285,type,
vOR: $o > $o > $o ).
thf(func_def_286,type,
vAND: $o > $o > $o ).
thf(func_def_287,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_288,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_289,type,
vIMP: $o > $o > $o ).
thf(func_def_290,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_291,type,
sP0: $i > $i > $o ).
thf(func_def_292,type,
sP1: $i > $o ).
thf(func_def_295,type,
sK4: ( $i > $i ) > $i > $i > $i ).
thf(func_def_298,type,
sK7: $i > $i ).
thf(func_def_305,type,
sK14: $i > ( $i > $o ) > $i ).
thf(func_def_306,type,
sK15: $i > $o ).
thf(func_def_320,type,
sK29: $i > $i > $i > $i > $i ).
thf(func_def_321,type,
sK30: $i > $i > $i ).
thf(func_def_325,type,
sK34: $i > ( $i > $o ) > $i ).
thf(func_def_326,type,
sK35: $i > $o ).
thf(func_def_335,type,
sK44: $i > $i > $i > $i > $i ).
thf(func_def_348,type,
sK57: $i > $o ).
thf(func_def_350,type,
sK59: ( $i > $o ) > $i > $i ).
thf(func_def_354,type,
sK63: $o ).
thf(func_def_365,type,
sK74: $i > $i > $i > $i ).
thf(func_def_366,type,
sK75: $i > $i > $i > $i ).
thf(func_def_370,type,
sK79: $i > $i > $i ).
thf(func_def_374,type,
sK83: $i > $o ).
thf(func_def_376,type,
sK85: ( $i > $o ) > $i > $i ).
thf(func_def_377,type,
sK86: ( $i > $o ) > $i > $i ).
thf(func_def_397,type,
sK106: $o ).
thf(func_def_418,type,
sK127: $i > $o ).
thf(func_def_420,type,
sK129: $i > ( $i > $o ) > $i ).
thf(func_def_432,type,
sK141: $o ).
thf(func_def_440,type,
sK149: $i > $i > $i > $i ).
thf(func_def_445,type,
sK154: $i > $o ).
thf(func_def_446,type,
sK155: $o ).
thf(func_def_450,type,
sK159: ( $i > $o ) > $i > $i > $i ).
thf(func_def_453,type,
sK162: $i > $o ).
thf(func_def_458,type,
sK167: $i > $o ).
thf(func_def_486,type,
sK195: $i > $i ).
thf(func_def_487,type,
sK196: $i > $i ).
thf(func_def_488,type,
sK197: $i > $i ).
thf(func_def_489,type,
sK198: $i > $i ).
thf(func_def_490,type,
sK199: $i > $i > $i ).
thf(func_def_491,type,
sK200: $i > $i > $i > $i ).
thf(func_def_492,type,
sK201: $i > $i > $i > $i ).
thf(func_def_493,type,
sK202: $i > $i > $i > $i ).
thf(func_def_494,type,
sK203: $i > $i > $i ).
thf(func_def_495,type,
sK204: $i > $i > $i ).
thf(func_def_496,type,
sK205: $i > $i > $i ).
thf(func_def_497,type,
sK206: $i > $i > $i ).
thf(func_def_498,type,
sK207: $i > $i ).
thf(func_def_499,type,
sK208: $i > $i > $i > $i ).
thf(func_def_501,type,
sK210: $i > $i ).
thf(func_def_502,type,
sK211: $i > $i ).
thf(func_def_503,type,
sK212: $i > $i ).
thf(func_def_504,type,
sK213: $i > $i ).
thf(func_def_512,type,
sK221: $i > $o ).
thf(func_def_514,type,
sK223: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_515,type,
sK224: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_521,type,
sK230: $i > $i > $o ).
thf(func_def_523,type,
sK232: $i > $o ).
thf(func_def_528,type,
sK237: $i > $i > $i ).
thf(func_def_537,type,
sK246: $i > $o ).
thf(func_def_539,type,
sK248: ( $i > $o ) > $i > $i ).
thf(func_def_540,type,
sK249: $o ).
thf(func_def_542,type,
sK251: $i > $i ).
thf(func_def_560,type,
sK269: $o ).
thf(func_def_571,type,
sK280: ( $i > $i ) > $i > $i > $i ).
thf(func_def_574,type,
sK283: $i > $i ).
thf(func_def_587,type,
sK296: $i > $o ).
thf(func_def_588,type,
sK297: $i > $i ).
thf(func_def_592,type,
sK301: $o ).
thf(func_def_595,type,
sK304: $o ).
thf(func_def_598,type,
sK307: $i > $o ).
thf(func_def_605,type,
sK314: $i > $o ).
thf(func_def_607,type,
sK316: $o ).
thf(func_def_622,type,
sK331: $i > $i > $i > $i > $i ).
thf(func_def_629,type,
sK338: $o ).
thf(func_def_643,type,
sK352: $i > $o ).
thf(func_def_645,type,
sK354: ( $i > $o ) > $i > $i ).
thf(func_def_659,type,
sK368: $i > $i > $o ).
thf(func_def_668,type,
sK377: $i > $i > $o ).
thf(func_def_670,type,
sK379: $o ).
thf(func_def_679,type,
sK388: $i > $o ).
thf(func_def_680,type,
sK389: $i > $i > $i > $i > $i ).
thf(func_def_681,type,
sK390: $i > $i > $i > $i > $i ).
thf(func_def_682,type,
sK391: $i > $i > $i > $i > $i ).
thf(func_def_683,type,
sK392: $i > $i > $i > $i > $i ).
thf(func_def_688,type,
sK397: $i > $i > $i ).
thf(func_def_689,type,
sK398: $i > $i > $i ).
thf(func_def_713,type,
sK422: $i > $o ).
thf(func_def_714,type,
sK423: $i > $o ).
thf(func_def_715,type,
sK424: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_716,type,
sK425: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_739,type,
sK448: $i > $i > $i > $i ).
thf(func_def_740,type,
sK449: $i > $i > $i > $i ).
thf(func_def_748,type,
sK457: $i > $o ).
thf(func_def_759,type,
sK468: $i > $o ).
thf(func_def_764,type,
sK473: $i > $o ).
thf(func_def_770,type,
sK479: $i > $o ).
thf(func_def_773,type,
sK482: $o ).
thf(func_def_777,type,
sK486: $i > $o ).
thf(func_def_779,type,
sK488: $i > ( $i > $o ) > $i ).
thf(func_def_785,type,
sK494: $i > $i ).
thf(func_def_795,type,
sK504: $o ).
thf(func_def_801,type,
sK510: $i > $i > $o ).
thf(func_def_812,type,
sK521: $o ).
thf(func_def_816,type,
sK525: $i > $o ).
thf(func_def_828,type,
sK537: $o ).
thf(func_def_848,type,
sK557: $i > $i > $i ).
thf(func_def_853,type,
sK562: $i > $o ).
thf(func_def_854,type,
sK563: $i > $i ).
thf(func_def_855,type,
sK564: ( $i > $o ) > $i ).
thf(func_def_856,type,
sK565: ( $i > $o ) > $i ).
thf(func_def_857,type,
sK566: $i > $o ).
thf(func_def_863,type,
sK572: $i > $i > ( $i > $i ) > $i ).
thf(func_def_864,type,
sK573: $i > $i ).
thf(func_def_867,type,
sK576: $i > $i ).
thf(func_def_870,type,
sK579: $i > $i ).
thf(func_def_873,type,
sK582: $i > $i ).
thf(func_def_875,type,
sK584: $i > ( $i > $i ) > $i > $i ).
thf(func_def_876,type,
sK585: $i > $i > $o ).
thf(func_def_884,type,
sK593: $i > $i ).
thf(func_def_886,type,
sK595: $i > $o ).
thf(func_def_887,type,
sK596: $i > $o ).
thf(func_def_888,type,
sK597: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_889,type,
sK598: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_896,type,
sK605: ( $i > $o ) > $i ).
thf(func_def_897,type,
sK606: ( $i > $o ) > $i ).
thf(func_def_898,type,
sK607: $i > $o ).
thf(func_def_908,type,
sK617: $i > $i > $i ).
thf(func_def_914,type,
sK623: $i > $o ).
thf(func_def_916,type,
sK625: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_917,type,
sK626: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_918,type,
sK627: $i > $o ).
thf(func_def_921,type,
sK630: $i > ( $i > $o ) > $i ).
thf(func_def_924,type,
sK633: $i > $i > $o ).
thf(func_def_933,type,
sK642: $i > $o ).
thf(func_def_938,type,
sK647: ( $i > $i > $o ) > $i > $i ).
thf(func_def_939,type,
sK648: ( $i > $i > $o ) > $i > $i ).
thf(func_def_940,type,
sK649: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_942,type,
sK651: $i > $i > $o ).
thf(func_def_943,type,
sK652: $i > $i ).
thf(func_def_944,type,
sK653: $i > $i ).
thf(func_def_946,type,
sK655: $i > $i ).
thf(func_def_949,type,
sK658: $i > $i > $i > $i > $i ).
thf(func_def_950,type,
sK659: $i > $i > $i > $i > $i ).
thf(func_def_955,type,
sK664: ( $i > $o ) > $i ).
thf(func_def_956,type,
sK665: $i > $o ).
thf(func_def_957,type,
sK666: $i > $i ).
thf(func_def_958,type,
sK667: ( $i > $o ) > $i > $i ).
thf(func_def_960,type,
sK669: $i > $o ).
thf(func_def_964,type,
sK673: $i > $i > $i > $i ).
thf(func_def_973,type,
sK682: $o ).
thf(func_def_976,type,
sK685: $i > $i > ( $i > $i ) > $i ).
thf(func_def_977,type,
sK686: $i > $i ).
thf(func_def_981,type,
sK690: $i > $i > $i ).
thf(func_def_987,type,
sK696: $i > $i > $i ).
thf(func_def_998,type,
sK707: $i > $i > $i ).
thf(func_def_1002,type,
sK711: $i > $o ).
thf(func_def_1005,type,
sK714: $i > ( $i > $o ) > $i ).
thf(func_def_1006,type,
sK715: $i > ( $i > $o ) > $i ).
thf(func_def_1009,type,
sK718: $o ).
thf(func_def_1010,type,
sK719: $o > $i > $i > $i ).
thf(func_def_1016,type,
sK725: $i > $i ).
thf(func_def_1017,type,
sK726: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1020,type,
sK729: $i > $o ).
thf(func_def_1021,type,
sK730: $i > $o ).
thf(func_def_1022,type,
sK731: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1023,type,
sK732: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1037,type,
sK746: $i > $i > $o ).
thf(f84,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ X0 ) ) )
= subsetE2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE2) ).
thf(f122,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) )
= setminusER ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).
thf(f244,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contrasubsetT) ).
thf(f245,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f244]) ).
thf(f273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) )
= setminusER ),
inference(rectify,[],[f122]) ).
thf(f274,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true )
=> ( ( in @ X2 @ X1 )
!= $true ) )
<=> ( setminusER = $true ) ),
inference(fool_elimination,[],[f273]) ).
thf(f385,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f245]) ).
thf(f386,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ( ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
=> ( ( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ X3 @ X1 )
!= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f385]) ).
thf(f468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
=> ( ~ ( in @ X0 @ X1 )
=> ~ ( in @ X0 @ X2 ) ) )
= subsetE2 ),
inference(rectify,[],[f84]) ).
thf(f469,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( $true
!= ( in @ X0 @ X1 ) )
=> ( ( in @ X0 @ X2 )
!= $true ) ) )
<=> ( subsetE2 = $true ) ),
inference(fool_elimination,[],[f468]) ).
thf(f728,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true )
=> ( ( in @ X2 @ X1 )
!= $true ) )
<=> ( setminusER = $true ) ),
inference(flattening,[],[f274]) ).
thf(f739,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ( ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
=> ( ( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ X3 @ X1 )
!= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f386]) ).
thf(f748,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( $true
!= ( in @ X0 @ X1 ) )
=> ( ( in @ X0 @ X2 )
!= $true ) ) )
<=> ( subsetE2 = $true ) ),
inference(flattening,[],[f469]) ).
thf(f784,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) )
<=> ( setminusER = $true ) ),
inference(ennf_transformation,[],[f728]) ).
thf(f981,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( ( in @ X3 @ X2 )
= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f739]) ).
thf(f982,plain,
( ( binintersectTERcontra = $true )
& ( quantDeMorgan2 = $true )
& ( ex1E1 = $true )
& ( kpairiskpair = $true )
& ( setext = $true )
& ( cartprodpairin = $true )
& ( notinsingleton = $true )
& ( dpsetconstrER = $true )
& ( eqimpsubset1 = $true )
& ( descrp = $true )
& ( setunionAx = $true )
& ( iffalse = $true )
& ( binintersectTELcontra = $true )
& ( eta1 = $true )
& ( setminusEL = $true )
& ( notequalI1 = $true )
& ( dpsetconstrERa = $true )
& ( setukpairinjR11 = $true )
& ( upairequniteq = $true )
& ( powersetTE1 = $true )
& ( powersetE1 = $true )
& ( wellorderingAx = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL2 = $true )
& ( exu__Cong = $true )
& ( kpairp = $true )
& ( setextAx = $true )
& ( binintersectSubset5 = $true )
& ( emptyE1 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectEL = $true )
& ( noeltsimpempty = $true )
& ( vacuousDall = $true )
& ( nonemptyImpWitness = $true )
& ( symdiffE = $true )
& ( emptysetE = $true )
& ( cartprodfstpairEq = $true )
& ( singletonprop = $true )
& ( descr__Cong = $true )
& ( upairsubunion = $true )
& ( sepSubset = $true )
& ( cartprodfstin = $true )
& ( setunionsingleton1 = $true )
& ( setukpairIR = $true )
& ( sepInPowerset = $true )
& ( eta2 = $true )
& ( complementTI1 = $true )
& ( app = $true )
& ( setminusSubset1 = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( ( in @ X3 @ X2 )
= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) ) )
& ( bs114d = $true )
& ( symdiffI1 = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( setoftrueEq = $true )
& ( emptyInPowerset = $true )
& ( infuncsetfunc = $true )
& ( upairset2IR = $true )
& ( cartprodsndpairEq = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan1 = $true )
& ( setukpairinjR = $true )
& ( funcImageSingleton = $true )
& ( funcext2 = $true )
& ( emptysetAx = $true )
& ( setminusER = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( setminusIRneg = $true )
& ( setukpairinjR1 = $true )
& ( binintersectT_lem = $true )
& ( setbeta = $true )
& ( upairinpowunion = $true )
& ( singletoninpowunion = $true )
& ( lam2lamEq = $true )
& ( funcext = $true )
& ( setukpairinjL = $true )
& ( dpsetconstrEL1 = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( lamp = $true )
& ( theprop = $true )
& ( cartprodpairmemER = $true )
& ( apProp = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( subsetE = $true )
& ( setextT = $true )
& ( setminusLsub = $true )
& ( kpairsurjEq = $true )
& ( cartprodpairmemEL = $true )
& ( omegaSAx = $true )
& ( dpsetconstrSub = $true )
& ( binintersectRsub = $true )
& ( setunionI = $true )
& ( subsetRefl = $true )
& ( setunionE = $true )
& ( upairsetE = $true )
& ( kfstsingleton = $true )
& ( setadjoinAx = $true )
& ( eqinunit = $true )
& ( theeq = $true )
& ( setadjoinSub2 = $true )
& ( complementTE1 = $true )
& ( exuEu = $true )
& ( cartprodsndin = $true )
& ( iftrueProp2 = $true )
& ( eqbreln = $true )
& ( funcGraphProp1 = $true )
& ( setukpairinjR12 = $true )
& ( ap2p = $true )
& ( emptysetsubset = $true )
& ( binunionRsub = $true )
& ( funcGraphProp4 = $true )
& ( exuI2 = $true )
& ( setukpairinjR2 = $true )
& ( setminusELneg = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( iffalseProp1 = $true )
& ( binintersectLsub = $true )
& ( nonemptyI = $true )
& ( exuI3 = $true )
& ( powersetTI1 = $true )
& ( emptysetimpfalse = $true )
& ( emptyinunitempty = $true )
& ( in__Cong = $true )
& ( ex1E2 = $true )
& ( setunionsingleton2 = $true )
& ( upairset2E = $true )
& ( upairsetIR = $true )
& ( subsetTrans = $true )
& ( funcextLem = $true )
& ( setadjoinIR = $true )
& ( cartprodmempair1 = $true )
& ( setukpairIL = $true )
& ( binunionE = $true )
& ( ex1I = $true )
& ( upairsetIL = $true )
& ( beta2 = $true )
& ( exuE1 = $true )
& ( exuE2 = $true )
& ( nonemptyI1 = $true )
& ( emptyset__Cong = $true )
& ( setminusILneg = $true )
& ( binunionEcases = $true )
& ( powersetI1 = $true )
& ( setukpairinjL1 = $true )
& ( dpsetconstrI = $true )
& ( subsetI1 = $true )
& ( subsetE2 = $true )
& ( setextsub = $true )
& ( funcinfuncset = $true )
& ( funcGraphProp3 = $true )
& ( ubforcartprodlem1 = $true )
& ( singletonsubset = $true )
& ( ksndsingleton = $true )
& ( complementT_lem = $true )
& ( notdallE = $true )
& ( binunionIL = $true )
& ( cartprodpairsurjEq = $true )
& ( lam2p = $true )
& ( subsetemptysetimpeq = $true )
& ( prop2setE = $true )
& ( prop2setI = $true )
& ( omegaIndAx = $true )
& ( setadjoinOr = $true )
& ( binintersectSubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( setminusT_lem = $true )
& ( binintersectI = $true )
& ( brelnall2 = $true )
& ( setadjoinSub = $true )
& ( setOfPairsIsBReln = $true )
& ( foundationAx = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( funcGraphProp2 = $true )
& ( cartprodmempair = $true )
& ( subsetTI = $true )
& ( subbreln = $true )
& ( binintersectER = $true )
& ( powersetsubset = $true )
& ( ksndpairEq = $true )
& ( notdexE = $true )
& ( ap2apEq2 = $true )
& ( binunionIR = $true )
& ( powerset__Cong = $true )
& ( lamProp = $true )
& ( quantDeMorgan3 = $true )
& ( setunionsingleton = $true )
& ( prop2set2propI = $true )
& ( dsetconstrER = $true )
& ( emptyI = $true )
& ( exuE3e = $true )
& ( ifp = $true )
& ( dsetconstrEL = $true )
& ( setminusSubset2 = $true )
& ( nonemptyE1 = $true )
& ( symdiffI2 = $true )
& ( ap2apEq1 = $true )
& ( exuI1 = $true )
& ( binintersectSubset3 = $true )
& ( exuE3u = $true )
& ( iftrueProp1 = $true )
& ( binintersectSubset4 = $true )
& ( binunionT_lem = $true )
& ( binunionLsub = $true )
& ( setadjoinE = $true )
& ( kfstpairEq = $true )
& ( powersetE = $true )
& ( singletoninpowerset = $true )
& ( setminusERneg = $true )
& ( setminusI = $true )
& ( brelnall1 = $true )
& ( powersetAx = $true )
& ( powersetT_lem = $true )
& ( omega0Ax = $true )
& ( notinemptyset = $true )
& ( quantDeMorgan4 = $true )
& ( cartprodmempaircEq = $true )
& ( iffalseProp2 = $true )
& ( iftrue = $true )
& ( singletonsswitch = $true )
& ( disjointsetsI1 = $true )
& ( setunionE2 = $true )
& ( secondinupair = $true )
& ( ubforcartprodlem2 = $true )
& ( ex1I2 = $true )
& ( beta1 = $true )
& ( subsetI2 = $true )
& ( iftrueorfalse = $true )
& ( singletonsuniq = $true )
& ( dpsetconstrEL2 = $true )
& ( binintersectSubset2 = $true )
& ( subPowSU = $true )
& ( ifSingleton = $true )
& ( notequalI2 = $true )
& ( inPowerset = $true ) ),
inference(flattening,[],[f981]) ).
thf(f998,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( $true
= ( in @ X0 @ X1 ) )
| ( ( subset @ X2 @ X1 )
!= $true ) )
<=> ( subsetE2 = $true ) ),
inference(ennf_transformation,[],[f748]) ).
thf(f999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( $true
= ( in @ X0 @ X1 ) ) )
<=> ( subsetE2 = $true ) ),
inference(flattening,[],[f998]) ).
thf(f1358,plain,
( ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( $true
= ( in @ X0 @ X1 ) ) )
| ( subsetE2 != $true ) )
& ( ( subsetE2 = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ( ( subset @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X0 @ X1 ) ) ) ) ),
inference(nnf_transformation,[],[f999]) ).
thf(f1359,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
= $true ) )
| ( subsetE2 != $true ) )
& ( ( subsetE2 = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
= $true )
& ( $true
= ( subset @ X3 @ X5 ) )
& ( ( in @ X4 @ X5 )
!= $true ) ) ) ),
inference(rectify,[],[f1358]) ).
thf(f1360,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
= $true ) )
| ( subsetE2 != $true ) )
& ( ( subsetE2 = $true )
| ( ( $true
= ( in @ sK333 @ sK332 ) )
& ( $true
= ( subset @ sK332 @ sK334 ) )
& ( $true
!= ( in @ sK333 @ sK334 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK332,sK333,sK334]),skolemize(X3,sK332),skolemize(X4,sK333),skolemize(X5,sK334)],[f1359]) ).
thf(f1373,plain,
( ( binintersectTERcontra = $true )
& ( quantDeMorgan2 = $true )
& ( ex1E1 = $true )
& ( kpairiskpair = $true )
& ( setext = $true )
& ( cartprodpairin = $true )
& ( notinsingleton = $true )
& ( dpsetconstrER = $true )
& ( eqimpsubset1 = $true )
& ( descrp = $true )
& ( setunionAx = $true )
& ( iffalse = $true )
& ( binintersectTELcontra = $true )
& ( eta1 = $true )
& ( setminusEL = $true )
& ( notequalI1 = $true )
& ( dpsetconstrERa = $true )
& ( setukpairinjR11 = $true )
& ( upairequniteq = $true )
& ( powersetTE1 = $true )
& ( powersetE1 = $true )
& ( wellorderingAx = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL2 = $true )
& ( exu__Cong = $true )
& ( kpairp = $true )
& ( setextAx = $true )
& ( binintersectSubset5 = $true )
& ( emptyE1 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectEL = $true )
& ( noeltsimpempty = $true )
& ( vacuousDall = $true )
& ( nonemptyImpWitness = $true )
& ( symdiffE = $true )
& ( emptysetE = $true )
& ( cartprodfstpairEq = $true )
& ( singletonprop = $true )
& ( descr__Cong = $true )
& ( upairsubunion = $true )
& ( sepSubset = $true )
& ( cartprodfstin = $true )
& ( setunionsingleton1 = $true )
& ( setukpairIR = $true )
& ( sepInPowerset = $true )
& ( eta2 = $true )
& ( complementTI1 = $true )
& ( app = $true )
& ( setminusSubset1 = $true )
& ( $true
= ( in @ sK348 @ ( powerset @ sK347 ) ) )
& ( $true
= ( in @ sK350 @ sK348 ) )
& ( $true
= ( in @ sK350 @ sK349 ) )
& ( $true
= ( subset @ sK348 @ ( setminus @ sK347 @ sK349 ) ) )
& ( $true
= ( in @ sK350 @ sK347 ) )
& ( $true
= ( in @ sK349 @ ( powerset @ sK347 ) ) )
& ( bs114d = $true )
& ( symdiffI1 = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( setoftrueEq = $true )
& ( emptyInPowerset = $true )
& ( infuncsetfunc = $true )
& ( upairset2IR = $true )
& ( cartprodsndpairEq = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan1 = $true )
& ( setukpairinjR = $true )
& ( funcImageSingleton = $true )
& ( funcext2 = $true )
& ( emptysetAx = $true )
& ( setminusER = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( setminusIRneg = $true )
& ( setukpairinjR1 = $true )
& ( binintersectT_lem = $true )
& ( setbeta = $true )
& ( upairinpowunion = $true )
& ( singletoninpowunion = $true )
& ( lam2lamEq = $true )
& ( funcext = $true )
& ( setukpairinjL = $true )
& ( dpsetconstrEL1 = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( lamp = $true )
& ( theprop = $true )
& ( cartprodpairmemER = $true )
& ( apProp = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( subsetE = $true )
& ( setextT = $true )
& ( setminusLsub = $true )
& ( kpairsurjEq = $true )
& ( cartprodpairmemEL = $true )
& ( omegaSAx = $true )
& ( dpsetconstrSub = $true )
& ( binintersectRsub = $true )
& ( setunionI = $true )
& ( subsetRefl = $true )
& ( setunionE = $true )
& ( upairsetE = $true )
& ( kfstsingleton = $true )
& ( setadjoinAx = $true )
& ( eqinunit = $true )
& ( theeq = $true )
& ( setadjoinSub2 = $true )
& ( complementTE1 = $true )
& ( exuEu = $true )
& ( cartprodsndin = $true )
& ( iftrueProp2 = $true )
& ( eqbreln = $true )
& ( funcGraphProp1 = $true )
& ( setukpairinjR12 = $true )
& ( ap2p = $true )
& ( emptysetsubset = $true )
& ( binunionRsub = $true )
& ( funcGraphProp4 = $true )
& ( exuI2 = $true )
& ( setukpairinjR2 = $true )
& ( setminusELneg = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( iffalseProp1 = $true )
& ( binintersectLsub = $true )
& ( nonemptyI = $true )
& ( exuI3 = $true )
& ( powersetTI1 = $true )
& ( emptysetimpfalse = $true )
& ( emptyinunitempty = $true )
& ( in__Cong = $true )
& ( ex1E2 = $true )
& ( setunionsingleton2 = $true )
& ( upairset2E = $true )
& ( upairsetIR = $true )
& ( subsetTrans = $true )
& ( funcextLem = $true )
& ( setadjoinIR = $true )
& ( cartprodmempair1 = $true )
& ( setukpairIL = $true )
& ( binunionE = $true )
& ( ex1I = $true )
& ( upairsetIL = $true )
& ( beta2 = $true )
& ( exuE1 = $true )
& ( exuE2 = $true )
& ( nonemptyI1 = $true )
& ( emptyset__Cong = $true )
& ( setminusILneg = $true )
& ( binunionEcases = $true )
& ( powersetI1 = $true )
& ( setukpairinjL1 = $true )
& ( dpsetconstrI = $true )
& ( subsetI1 = $true )
& ( subsetE2 = $true )
& ( setextsub = $true )
& ( funcinfuncset = $true )
& ( funcGraphProp3 = $true )
& ( ubforcartprodlem1 = $true )
& ( singletonsubset = $true )
& ( ksndsingleton = $true )
& ( complementT_lem = $true )
& ( notdallE = $true )
& ( binunionIL = $true )
& ( cartprodpairsurjEq = $true )
& ( lam2p = $true )
& ( subsetemptysetimpeq = $true )
& ( prop2setE = $true )
& ( prop2setI = $true )
& ( omegaIndAx = $true )
& ( setadjoinOr = $true )
& ( binintersectSubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( setminusT_lem = $true )
& ( binintersectI = $true )
& ( brelnall2 = $true )
& ( setadjoinSub = $true )
& ( setOfPairsIsBReln = $true )
& ( foundationAx = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( funcGraphProp2 = $true )
& ( cartprodmempair = $true )
& ( subsetTI = $true )
& ( subbreln = $true )
& ( binintersectER = $true )
& ( powersetsubset = $true )
& ( ksndpairEq = $true )
& ( notdexE = $true )
& ( ap2apEq2 = $true )
& ( binunionIR = $true )
& ( powerset__Cong = $true )
& ( lamProp = $true )
& ( quantDeMorgan3 = $true )
& ( setunionsingleton = $true )
& ( prop2set2propI = $true )
& ( dsetconstrER = $true )
& ( emptyI = $true )
& ( exuE3e = $true )
& ( ifp = $true )
& ( dsetconstrEL = $true )
& ( setminusSubset2 = $true )
& ( nonemptyE1 = $true )
& ( symdiffI2 = $true )
& ( ap2apEq1 = $true )
& ( exuI1 = $true )
& ( binintersectSubset3 = $true )
& ( exuE3u = $true )
& ( iftrueProp1 = $true )
& ( binintersectSubset4 = $true )
& ( binunionT_lem = $true )
& ( binunionLsub = $true )
& ( setadjoinE = $true )
& ( kfstpairEq = $true )
& ( powersetE = $true )
& ( singletoninpowerset = $true )
& ( setminusERneg = $true )
& ( setminusI = $true )
& ( brelnall1 = $true )
& ( powersetAx = $true )
& ( powersetT_lem = $true )
& ( omega0Ax = $true )
& ( notinemptyset = $true )
& ( quantDeMorgan4 = $true )
& ( cartprodmempaircEq = $true )
& ( iffalseProp2 = $true )
& ( iftrue = $true )
& ( singletonsswitch = $true )
& ( disjointsetsI1 = $true )
& ( setunionE2 = $true )
& ( secondinupair = $true )
& ( ubforcartprodlem2 = $true )
& ( ex1I2 = $true )
& ( beta1 = $true )
& ( subsetI2 = $true )
& ( iftrueorfalse = $true )
& ( singletonsuniq = $true )
& ( dpsetconstrEL2 = $true )
& ( binintersectSubset2 = $true )
& ( subPowSU = $true )
& ( ifSingleton = $true )
& ( notequalI2 = $true )
& ( inPowerset = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347,sK348,sK349,sK350]),skolemize(X0,sK347),skolemize(X1,sK348),skolemize(X2,sK349),skolemize(X3,sK350)],[f982]) ).
thf(f1575,plain,
( ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f784]) ).
thf(f1576,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X5 )
= $true )
& ( $true
= ( in @ X3 @ ( setminus @ X4 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f1575]) ).
thf(f1577,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ( ( $true
= ( in @ sK554 @ sK556 ) )
& ( $true
= ( in @ sK554 @ ( setminus @ sK555 @ sK556 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554,sK555,sK556]),skolemize(X3,sK554),skolemize(X4,sK555),skolemize(X5,sK556)],[f1576]) ).
thf(f2209,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( subsetE2 != $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f1360]) ).
thf(f2316,plain,
subsetE2 = $true,
inference(cnf_transformation,[],[f1373]) ).
thf(f2402,plain,
setminusER = $true,
inference(cnf_transformation,[],[f1373]) ).
thf(f2420,plain,
( $true
= ( subset @ sK348 @ ( setminus @ sK347 @ sK349 ) ) ),
inference(cnf_transformation,[],[f1373]) ).
thf(f2421,plain,
( $true
= ( in @ sK350 @ sK349 ) ),
inference(cnf_transformation,[],[f1373]) ).
thf(f2422,plain,
( $true
= ( in @ sK350 @ sK348 ) ),
inference(cnf_transformation,[],[f1373]) ).
thf(f2743,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( setminusER != $true )
| ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( ( in @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f1577]) ).
thf(f3759,definition,
( spl749_123
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl749_123])],[avatar_definition]) ).
thf(f3760,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) )
| ~ spl749_123 ),
inference(avatar_component_clause,[],[f3759]) ).
thf(f4149,definition,
( spl749_209
<=> ( $true
= ( in @ sK350 @ sK348 ) ) ),
introduced(definition,[new_symbols(definition,[spl749_209])],[avatar_definition]) ).
thf(f4151,plain,
( ( $true
= ( in @ sK350 @ sK348 ) )
| ~ spl749_209 ),
inference(avatar_component_clause,[],[f4149]) ).
thf(f4152,plain,
spl749_209,
inference(avatar_split_clause,[],[f2422,f4149]) ).
thf(f4614,definition,
( spl749_312
<=> ( $true
= ( in @ sK350 @ sK349 ) ) ),
introduced(definition,[new_symbols(definition,[spl749_312])],[avatar_definition]) ).
thf(f4616,plain,
( ( $true
= ( in @ sK350 @ sK349 ) )
| ~ spl749_312 ),
inference(avatar_component_clause,[],[f4614]) ).
thf(f4617,plain,
spl749_312,
inference(avatar_split_clause,[],[f2421,f4614]) ).
thf(f5183,definition,
( spl749_436
<=> ( subsetE2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl749_436])],[avatar_definition]) ).
thf(f5186,plain,
( spl749_123
| ~ spl749_436 ),
inference(avatar_split_clause,[],[f2209,f5183,f3759]) ).
thf(f6114,definition,
( spl749_639
<=> ( $true
= ( subset @ sK348 @ ( setminus @ sK347 @ sK349 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl749_639])],[avatar_definition]) ).
thf(f6116,plain,
( ( $true
= ( subset @ sK348 @ ( setminus @ sK347 @ sK349 ) ) )
| ~ spl749_639 ),
inference(avatar_component_clause,[],[f6114]) ).
thf(f6117,plain,
spl749_639,
inference(avatar_split_clause,[],[f2420,f6114]) ).
thf(f6945,definition,
( spl749_814
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( ( in @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl749_814])],[avatar_definition]) ).
thf(f6946,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) ) )
| ~ spl749_814 ),
inference(avatar_component_clause,[],[f6945]) ).
thf(f6948,definition,
( spl749_815
<=> ( setminusER = $true ) ),
introduced(definition,[new_symbols(definition,[spl749_815])],[avatar_definition]) ).
thf(f6951,plain,
( spl749_814
| ~ spl749_815 ),
inference(avatar_split_clause,[],[f2743,f6948,f6945]) ).
thf(f7071,plain,
spl749_436,
inference(avatar_split_clause,[],[f2316,f5183]) ).
thf(f7835,plain,
spl749_815,
inference(avatar_split_clause,[],[f2402,f6948]) ).
thf(f8790,plain,
( ! [X0: $i] :
( $true
!= ( in @ sK350 @ ( setminus @ X0 @ sK349 ) ) )
| ~ spl749_312
| ~ spl749_814 ),
inference(unit_resulting_resolution,[],[f6946,f4616]) ).
thf(f12815,plain,
( ( $true
= ( in @ sK350 @ ( setminus @ sK347 @ sK349 ) ) )
| ~ spl749_123
| ~ spl749_209
| ~ spl749_639 ),
inference(unit_resulting_resolution,[],[f3760,f4151,f6116]) ).
thf(f13102,plain,
( $false
| ~ spl749_123
| ~ spl749_209
| ~ spl749_312
| ~ spl749_639
| ~ spl749_814 ),
inference(forward_subsumption_resolution,[],[f12815,f8790]) ).
thf(f13103,plain,
( ~ spl749_123
| ~ spl749_209
| ~ spl749_312
| ~ spl749_639
| ~ spl749_814 ),
inference(avatar_contradiction_clause,[],[f13102]) ).
cnf(s141,plain,
spl749_209,
inference(sat_conversion,[],[f4152]) ).
cnf(s219,plain,
spl749_312,
inference(sat_conversion,[],[f4617]) ).
cnf(s334,plain,
( spl749_123
| ~ spl749_436 ),
inference(sat_conversion,[],[f5186]) ).
cnf(s519,plain,
spl749_639,
inference(sat_conversion,[],[f6117]) ).
cnf(s719,plain,
( spl749_814
| ~ spl749_815 ),
inference(sat_conversion,[],[f6951]) ).
cnf(s748,plain,
spl749_436,
inference(sat_conversion,[],[f7071]) ).
cnf(s955,plain,
spl749_815,
inference(sat_conversion,[],[f7835]) ).
cnf(s2007,plain,
( ~ spl749_123
| ~ spl749_209
| ~ spl749_312
| ~ spl749_639
| ~ spl749_814 ),
inference(sat_conversion,[],[f13103]) ).
cnf(s2074,plain,
spl749_814,
inference(rat,[],[s719,s955]) ).
cnf(s2221,plain,
spl749_123,
inference(rat,[],[s334,s748]) ).
cnf(s2385,plain,
~ spl749_209,
inference(rat,[],[s2007,s2074,s519,s2221,s219]) ).
cnf(s2524,plain,
$false,
inference(rat,[],[s141,s2385]) ).
thf(f13141,plain,
$false,
inference(avatar_sat_refutation,[],[s2524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU723^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n026.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 14:19:35 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.26 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
% 0.74/0.40 % (667634)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.74/0.40 % (667644)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=509190212:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.74/0.40 % (667645)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.74/0.40 % (667645)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
% 0.74/0.40 % (667639)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3844121463:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.74/0.40 % (667642)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=78576666: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)
% 0.74/0.40 % (667640)lrs+10_16_si=on:nwc=1.5:random_seed=2019891586:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.74/0.40 % (667641)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1403909796:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.74/0.40 % (667643)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3373711408:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.74/0.40 % (667645)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=3795058675:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.74/0.40 % (667641)Instruction limit reached!
% 0.74/0.40 % (667641)------------------------------
% 0.74/0.40 % (667641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (667641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (667641)CaDiCaL version: 2.1.3
% 0.74/0.40 % (667641)Termination reason: Instruction limit
% 0.74/0.40 % (667641)Termination phase: shuffling
% 0.74/0.40 % (667641)Time elapsed: 0.002 s
% 0.74/0.40 % (667641)Peak memory usage: 10 MB
% 0.74/0.40 % (667641)Instructions burned: 4 (million)
% 0.74/0.40 % (667640)Instruction limit reached!
% 0.74/0.40 % (667640)------------------------------
% 0.74/0.40 % (667640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (667640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (667640)CaDiCaL version: 2.1.3
% 0.74/0.40 % (667640)Termination reason: Instruction limit
% 0.74/0.40 % (667640)Termination phase: shuffling
% 0.74/0.40 % (667640)Time elapsed: 0.009 s
% 0.74/0.40 % (667640)Peak memory usage: 10 MB
% 0.74/0.40 % (667640)Instructions burned: 19 (million)
% 0.74/0.40 % (667644)Instruction limit reached!
% 0.74/0.40 % (667644)------------------------------
% 0.74/0.40 % (667644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (667644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (667644)CaDiCaL version: 2.1.3
% 0.74/0.40 % (667644)Termination reason: Instruction limit
% 0.74/0.40 % (667644)Termination phase: Preprocessing 3
% 0.74/0.40 % (667644)Time elapsed: 0.019 s
% 0.74/0.40 % (667644)Peak memory usage: 12 MB
% 0.74/0.40 % (667644)Instructions burned: 77 (million)
% 0.74/0.40 % (667643)Instruction limit reached!
% 0.74/0.40 % (667643)------------------------------
% 0.74/0.40 % (667643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (667643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (667643)CaDiCaL version: 2.1.3
% 0.74/0.40 % (667643)Termination reason: Instruction limit
% 0.74/0.40 % (667643)Termination phase: Property scanning
% 0.74/0.40 % (667643)Time elapsed: 0.012 s
% 0.74/0.40 % (667643)Peak memory usage: 10 MB
% 0.74/0.40 % (667643)Instructions burned: 25 (million)
% 0.74/0.40 % (667655)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.40 % (667653)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1658175669:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (667655)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4072255303:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.74/0.44 % (667653)Instruction limit reached!
% 0.74/0.44 % (667653)------------------------------
% 0.74/0.44 % (667653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667653)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667653)Termination reason: Instruction limit
% 0.74/0.44 % (667653)Termination phase: shuffling
% 0.74/0.44 % (667653)Time elapsed: 0.002 s
% 0.74/0.44 % (667653)Peak memory usage: 10 MB
% 0.74/0.44 % (667653)Instructions burned: 3 (million)
% 0.74/0.44 % (667655)Instruction limit reached!
% 0.74/0.44 % (667655)------------------------------
% 0.74/0.44 % (667655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667655)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667655)Termination reason: Instruction limit
% 0.74/0.44 % (667655)Termination phase: shuffling
% 0.74/0.44 % (667655)Time elapsed: 0.002 s
% 0.74/0.44 % (667655)Peak memory usage: 10 MB
% 0.74/0.44 % (667655)Instructions burned: 9 (million)
% 0.74/0.44 % (667659)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
% 0.74/0.44 % (667659)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.44 % (667656)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=669466653:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.74/0.44 % (667659)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3522662047:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.74/0.44 % (667639)Instruction limit reached!
% 0.74/0.44 % (667639)------------------------------
% 0.74/0.44 % (667639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667639)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667639)Termination reason: Instruction limit
% 0.74/0.44 % (667639)Termination phase: Preprocessing 3
% 0.74/0.44 % (667639)Time elapsed: 0.042 s
% 0.74/0.44 % (667639)Peak memory usage: 13 MB
% 0.74/0.44 % (667639)Instructions burned: 88 (million)
% 0.74/0.44 % (667656)Instruction limit reached!
% 0.74/0.44 % (667656)------------------------------
% 0.74/0.44 % (667656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667656)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667656)Termination reason: Instruction limit
% 0.74/0.44 % (667656)Termination phase: shuffling
% 0.74/0.44 % (667656)Time elapsed: 0.006 s
% 0.74/0.44 % (667656)Peak memory usage: 10 MB
% 0.74/0.44 % (667656)Instructions burned: 12 (million)
% 0.74/0.44 % (667659)Instruction limit reached!
% 0.74/0.44 % (667659)------------------------------
% 0.74/0.44 % (667659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667659)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667659)Termination reason: Instruction limit
% 0.74/0.44 % (667659)Termination phase: shuffling
% 0.74/0.44 % (667659)Time elapsed: 0.007 s
% 0.74/0.44 % (667659)Peak memory usage: 10 MB
% 0.74/0.44 % (667659)Instructions burned: 30 (million)
% 0.74/0.44 % (667654)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2814631123:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.74/0.44 % (667654)Instruction limit reached!
% 0.74/0.44 % (667654)------------------------------
% 0.74/0.44 % (667654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (667654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (667654)CaDiCaL version: 2.1.3
% 0.74/0.44 % (667654)Termination reason: Instruction limit
% 0.74/0.44 % (667654)Termination phase: shuffling
% 0.74/0.44 % (667654)Time elapsed: 0.003 s
% 0.74/0.44 % (667654)Peak memory usage: 9 MB
% 0.74/0.48 % (667654)Instructions burned: 5 (million)
% 0.74/0.48 % (667660)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=3129477375:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.74/0.48 % (667666)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1676481622:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.74/0.48 % (667664)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.74/0.48 % (667664)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=1141600561:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.48 % (667666)Instruction limit reached!
% 0.74/0.48 % (667666)------------------------------
% 0.74/0.48 % (667666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.48 % (667666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.48 % (667666)CaDiCaL version: 2.1.3
% 0.74/0.48 % (667666)Termination reason: Instruction limit
% 0.74/0.48 % (667666)Termination phase: SInE selection
% 0.74/0.48 % (667666)Time elapsed: 0.009 s
% 0.74/0.48 % (667666)Peak memory usage: 11 MB
% 0.74/0.48 % (667666)Instructions burned: 39 (million)
% 0.74/0.48 % (667664)Instruction limit reached!
% 0.74/0.48 % (667664)------------------------------
% 0.74/0.48 % (667664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.48 % (667664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.48 % (667664)CaDiCaL version: 2.1.3
% 0.74/0.48 % (667664)Termination reason: Instruction limit
% 0.74/0.48 % (667664)Termination phase: shuffling
% 0.74/0.48 % (667664)Time elapsed: 0.002 s
% 0.74/0.48 % (667664)Peak memory usage: 10 MB
% 0.74/0.48 % (667664)Instructions burned: 3 (million)
% 0.74/0.48 % (667667)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=718375016:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.74/0.48 % (667645)Instruction limit reached!
% 0.74/0.48 % (667645)------------------------------
% 0.74/0.48 % (667645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.48 % (667645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.48 % (667645)CaDiCaL version: 2.1.3
% 0.74/0.48 % (667645)Termination reason: Instruction limit
% 0.74/0.48 % (667645)Termination phase: Saturation
% 0.74/0.48 % (667645)Time elapsed: 0.067 s
% 0.74/0.48 % (667645)Peak memory usage: 14 MB
% 0.74/0.48 % (667645)Instructions burned: 158 (million)
% 0.74/0.48 % (667671)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3103947598:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.74/0.48 % (667663)lrs+10_1_si=on:cs=on:random_seed=3742771909:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.74/0.48 % (667671)Instruction limit reached!
% 0.74/0.48 % (667671)------------------------------
% 0.74/0.48 % (667671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.48 % (667671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.48 % (667671)CaDiCaL version: 2.1.3
% 0.74/0.48 % (667671)Termination reason: Instruction limit
% 0.74/0.48 % (667671)Termination phase: Property scanning
% 0.74/0.48 % (667671)Time elapsed: 0.007 s
% 0.74/0.48 % (667671)Peak memory usage: 11 MB
% 0.74/0.48 % (667671)Instructions burned: 30 (million)
% 0.74/0.48 % (667663)Instruction limit reached!
% 0.74/0.48 % (667663)------------------------------
% 0.74/0.48 % (667663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.48 % (667663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.48 % (667663)CaDiCaL version: 2.1.3
% 0.74/0.48 % (667663)Termination reason: Instruction limit
% 0.74/0.48 % (667663)Termination phase: shuffling
% 0.74/0.48 % (667663)Time elapsed: 0.005 s
% 0.74/0.48 % (667663)Peak memory usage: 10 MB
% 0.74/0.48 % (667663)Instructions burned: 10 (million)
% 0.74/0.48 % (667674)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=43361022:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.74/0.48 % (667672)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=599318925:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.55 % (667677)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3506994007:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.55 % (667672)Instruction limit reached!
% 1.51/0.55 % (667672)------------------------------
% 1.51/0.55 % (667672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (667672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (667672)CaDiCaL version: 2.1.3
% 1.51/0.55 % (667672)Termination reason: Instruction limit
% 1.51/0.55 % (667672)Termination phase: shuffling
% 1.51/0.55 % (667672)Time elapsed: 0.006 s
% 1.51/0.55 % (667672)Peak memory usage: 10 MB
% 1.51/0.55 % (667672)Instructions burned: 14 (million)
% 1.51/0.55 % (667677)Instruction limit reached!
% 1.51/0.55 % (667677)------------------------------
% 1.51/0.55 % (667677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (667677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (667677)CaDiCaL version: 2.1.3
% 1.51/0.55 % (667677)Termination reason: Instruction limit
% 1.51/0.55 % (667677)Termination phase: shuffling
% 1.51/0.55 % (667677)Time elapsed: 0.003 s
% 1.51/0.55 % (667677)Peak memory usage: 10 MB
% 1.51/0.55 % (667677)Instructions burned: 15 (million)
% 1.51/0.55 % (667678)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1966968: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)
% 1.51/0.55 % (667683)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3106696626:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.51/0.55 % (667660)Instruction limit reached!
% 1.51/0.55 % (667660)------------------------------
% 1.51/0.55 % (667660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (667660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (667660)CaDiCaL version: 2.1.3
% 1.51/0.55 % (667660)Termination reason: Instruction limit
% 1.51/0.55 % (667660)Termination phase: Property scanning
% 1.51/0.55 % (667660)Time elapsed: 0.058 s
% 1.51/0.55 % (667660)Peak memory usage: 11 MB
% 1.51/0.55 % (667660)Instructions burned: 87 (million)
% 1.51/0.55 % (667678)Instruction limit reached!
% 1.51/0.55 % (667678)------------------------------
% 1.51/0.55 % (667678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (667678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (667678)CaDiCaL version: 2.1.3
% 1.51/0.55 % (667678)Termination reason: Instruction limit
% 1.51/0.55 % (667678)Termination phase: shuffling
% 1.51/0.55 % (667678)Time elapsed: 0.003 s
% 1.51/0.55 % (667678)Peak memory usage: 10 MB
% 1.51/0.55 % (667678)Instructions burned: 6 (million)
% 1.51/0.55 % (667683)Instruction limit reached!
% 1.51/0.55 % (667683)------------------------------
% 1.51/0.55 % (667683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (667683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (667683)CaDiCaL version: 2.1.3
% 1.51/0.55 % (667683)Termination reason: Instruction limit
% 1.51/0.55 % (667683)Termination phase: shuffling
% 1.51/0.55 % (667683)Time elapsed: 0.006 s
% 1.51/0.55 % (667683)Peak memory usage: 10 MB
% 1.51/0.55 % (667683)Instructions burned: 26 (million)
% 1.51/0.55 % (667682)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1314804991:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.51/0.55 % (667689)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.51/0.55 % (667687)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
% 1.51/0.55 % (667687)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.51/0.55 % (667689)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=4203458063:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.10/0.61 % (667682)Instruction limit reached!
% 2.10/0.61 % (667682)------------------------------
% 2.10/0.61 % (667682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667682)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667682)Termination reason: Instruction limit
% 2.10/0.61 % (667682)Termination phase: shuffling
% 2.10/0.61 % (667682)Time elapsed: 0.012 s
% 2.10/0.61 % (667682)Peak memory usage: 10 MB
% 2.10/0.61 % (667682)Instructions burned: 27 (million)
% 2.10/0.61 % (667686)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1511205514:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.10/0.61 % (667689)Instruction limit reached!
% 2.10/0.61 % (667689)------------------------------
% 2.10/0.61 % (667689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667689)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667689)Termination reason: Instruction limit
% 2.10/0.61 % (667689)Termination phase: shuffling
% 2.10/0.61 % (667689)Time elapsed: 0.002 s
% 2.10/0.61 % (667689)Peak memory usage: 10 MB
% 2.10/0.61 % (667689)Instructions burned: 11 (million)
% 2.10/0.61 % (667687)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=1057128438:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.10/0.61 % (667687)Instruction limit reached!
% 2.10/0.61 % (667687)------------------------------
% 2.10/0.61 % (667687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667687)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667687)Termination reason: Instruction limit
% 2.10/0.61 % (667687)Termination phase: shuffling
% 2.10/0.61 % (667687)Time elapsed: 0.007 s
% 2.10/0.61 % (667687)Peak memory usage: 10 MB
% 2.10/0.61 % (667687)Instructions burned: 16 (million)
% 2.10/0.61 % (667694)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3230079432:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.10/0.61 % (667694)Instruction limit reached!
% 2.10/0.61 % (667694)------------------------------
% 2.10/0.61 % (667694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667694)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667694)Termination reason: Instruction limit
% 2.10/0.61 % (667694)Termination phase: shuffling
% 2.10/0.61 % (667694)Time elapsed: 0.003 s
% 2.10/0.61 % (667694)Peak memory usage: 10 MB
% 2.10/0.61 % (667694)Instructions burned: 14 (million)
% 2.10/0.61 % (667692)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=1557402507:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.10/0.61 % (667697)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=121290135:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.10/0.61 % (667695)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=547711989:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.10/0.61 % (667697)Instruction limit reached!
% 2.10/0.61 % (667697)------------------------------
% 2.10/0.61 % (667697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667697)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667697)Termination reason: Instruction limit
% 2.10/0.61 % (667697)Termination phase: shuffling
% 2.10/0.61 % (667697)Time elapsed: 0.005 s
% 2.10/0.61 % (667697)Peak memory usage: 10 MB
% 2.10/0.61 % (667697)Instructions burned: 21 (million)
% 2.10/0.61 % (667692)Instruction limit reached!
% 2.10/0.61 % (667692)------------------------------
% 2.10/0.61 % (667692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (667692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (667692)CaDiCaL version: 2.1.3
% 2.10/0.61 % (667692)Termination reason: Instruction limit
% 2.10/0.61 % (667692)Termination phase: shuffling
% 2.10/0.61 % (667692)Time elapsed: 0.014 s
% 2.60/0.71 % (667692)Peak memory usage: 10 MB
% 2.60/0.71 % (667692)Instructions burned: 32 (million)
% 2.60/0.71 % (667695)Instruction limit reached!
% 2.60/0.71 % (667695)------------------------------
% 2.60/0.71 % (667695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71 % (667695)CaDiCaL version: 2.1.3
% 2.60/0.71 % (667695)Termination reason: Instruction limit
% 2.60/0.71 % (667695)Termination phase: shuffling
% 2.60/0.71 % (667695)Time elapsed: 0.011 s
% 2.60/0.71 % (667695)Peak memory usage: 10 MB
% 2.60/0.71 % (667695)Instructions burned: 24 (million)
% 2.60/0.71 % (667701)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2608997391:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.60/0.71 % (667686)Instruction limit reached!
% 2.60/0.71 % (667686)------------------------------
% 2.60/0.71 % (667686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71 % (667686)CaDiCaL version: 2.1.3
% 2.60/0.71 % (667686)Termination reason: Instruction limit
% 2.60/0.71 % (667686)Termination phase: Preprocessing 3
% 2.60/0.71 % (667686)Time elapsed: 0.044 s
% 2.60/0.71 % (667686)Peak memory usage: 12 MB
% 2.60/0.71 % (667686)Instructions burned: 62 (million)
% 2.60/0.71 % (667667)Instruction limit reached!
% 2.60/0.71 % (667667)------------------------------
% 2.60/0.71 % (667667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71 % (667667)CaDiCaL version: 2.1.3
% 2.60/0.71 % (667667)Termination reason: Instruction limit
% 2.60/0.71 % (667667)Termination phase: Saturation
% 2.60/0.71 % (667667)Time elapsed: 0.111 s
% 2.60/0.71 % (667667)Peak memory usage: 15 MB
% 2.60/0.71 % (667667)Instructions burned: 250 (million)
% 2.60/0.71 % (667702)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=849478063:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.60/0.71 % (667707)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.60/0.71 % (667707)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2249252209:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.71 % (667704)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1012584465:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.60/0.71 % (667707)Instruction limit reached!
% 2.60/0.71 % (667707)------------------------------
% 2.60/0.71 % (667707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71 % (667707)CaDiCaL version: 2.1.3
% 2.60/0.71 % (667707)Termination reason: Instruction limit
% 2.60/0.71 % (667707)Termination phase: shuffling
% 2.60/0.71 % (667707)Time elapsed: 0.004 s
% 2.60/0.71 % (667707)Peak memory usage: 10 MB
% 2.60/0.71 % (667707)Instructions burned: 9 (million)
% 2.60/0.71 % (667705)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=496041463:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.60/0.71 % (667710)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1014861049:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.60/0.71 % (667705)Instruction limit reached!
% 2.60/0.71 % (667705)------------------------------
% 2.60/0.71 % (667705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71 % (667705)CaDiCaL version: 2.1.3
% 2.60/0.71 % (667705)Termination reason: Instruction limit
% 2.60/0.71 % (667705)Termination phase: Property scanning
% 2.60/0.71 % (667705)Time elapsed: 0.018 s
% 2.60/0.71 % (667705)Peak memory usage: 10 MB
% 2.60/0.71 % (667705)Instructions burned: 42 (million)
% 2.60/0.71 % (667702)Instruction limit reached!
% 2.60/0.71 % (667702)------------------------------
% 2.60/0.71 % (667702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71 % (667702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667702)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667702)Termination reason: Instruction limit
% 2.60/0.77 % (667702)Termination phase: Saturation
% 2.60/0.77 % (667702)Time elapsed: 0.059 s
% 2.60/0.77 % (667702)Peak memory usage: 13 MB
% 2.60/0.77 % (667702)Instructions burned: 144 (million)
% 2.60/0.77 % (667674)Instruction limit reached!
% 2.60/0.77 % (667674)------------------------------
% 2.60/0.77 % (667674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.77 % (667674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667674)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667674)Termination reason: Instruction limit
% 2.60/0.77 % (667674)Termination phase: Saturation
% 2.60/0.77 % (667674)Time elapsed: 0.152 s
% 2.60/0.77 % (667674)Peak memory usage: 15 MB
% 2.60/0.77 % (667674)Instructions burned: 328 (million)
% 2.60/0.77 % (667714)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.60/0.77 % (667713)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=2035176922: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)
% 2.60/0.77 % (667714)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2291265821:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.60/0.77 % (667715)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=602521714:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.60/0.77 % (667714)Instruction limit reached!
% 2.60/0.77 % (667714)------------------------------
% 2.60/0.77 % (667714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.77 % (667714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667714)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667714)Termination reason: Instruction limit
% 2.60/0.77 % (667714)Termination phase: shuffling
% 2.60/0.77 % (667714)Time elapsed: 0.004 s
% 2.60/0.77 % (667714)Peak memory usage: 10 MB
% 2.60/0.77 % (667714)Instructions burned: 8 (million)
% 2.60/0.77 % (667715)Instruction limit reached!
% 2.60/0.77 % (667715)------------------------------
% 2.60/0.77 % (667715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.77 % (667715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667715)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667715)Termination reason: Instruction limit
% 2.60/0.77 % (667715)Termination phase: shuffling
% 2.60/0.77 % (667715)Time elapsed: 0.011 s
% 2.60/0.77 % (667715)Peak memory usage: 10 MB
% 2.60/0.77 % (667715)Instructions burned: 23 (million)
% 2.60/0.77 % (667719)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3359803867:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.60/0.77 % (667704)Instruction limit reached!
% 2.60/0.77 % (667704)------------------------------
% 2.60/0.77 % (667704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.77 % (667704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667704)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667704)Termination reason: Instruction limit
% 2.60/0.77 % (667704)Termination phase: Saturation
% 2.60/0.77 % (667704)Time elapsed: 0.082 s
% 2.60/0.77 % (667704)Peak memory usage: 14 MB
% 2.60/0.77 % (667704)Instructions burned: 194 (million)
% 2.60/0.77 % (667719)Instruction limit reached!
% 2.60/0.77 % (667719)------------------------------
% 2.60/0.77 % (667719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.77 % (667719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (667719)CaDiCaL version: 2.1.3
% 2.60/0.77 % (667719)Termination reason: Instruction limit
% 2.60/0.77 % (667719)Termination phase: shuffling
% 2.60/0.77 % (667719)Time elapsed: 0.009 s
% 2.60/0.77 % (667719)Peak memory usage: 10 MB
% 2.60/0.77 % (667719)Instructions burned: 20 (million)
% 2.60/0.77 % (667720)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=1119800448:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.60/0.77 % (667710)Instruction limit reached!
% 2.60/0.77 % (667710)------------------------------
% 2.60/0.77 % (667710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (667710)CaDiCaL version: 2.1.3
% 3.13/0.86 % (667710)Termination reason: Instruction limit
% 3.13/0.86 % (667710)Termination phase: Saturation
% 3.13/0.86 % (667710)Time elapsed: 0.076 s
% 3.13/0.86 % (667710)Peak memory usage: 14 MB
% 3.13/0.86 % (667710)Instructions burned: 181 (million)
% 3.13/0.86 % (667722)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=2757822337: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)
% 3.13/0.86 % (667723)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=1756548254: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)
% 3.13/0.86 % (667725)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=836800554:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.13/0.86 % (667642)Instruction limit reached!
% 3.13/0.86 % (667642)------------------------------
% 3.13/0.86 % (667642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (667642)CaDiCaL version: 2.1.3
% 3.13/0.86 % (667642)Termination reason: Instruction limit
% 3.13/0.86 % (667642)Termination phase: Saturation
% 3.13/0.86 % (667642)Time elapsed: 0.332 s
% 3.13/0.86 % (667642)Peak memory usage: 20 MB
% 3.13/0.86 % (667642)Instructions burned: 634 (million)
% 3.13/0.86 % (667723)Instruction limit reached!
% 3.13/0.86 % (667723)------------------------------
% 3.13/0.86 % (667723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (667723)CaDiCaL version: 2.1.3
% 3.13/0.86 % (667723)Termination reason: Instruction limit
% 3.13/0.86 % (667723)Termination phase: Property scanning
% 3.13/0.86 % (667723)Time elapsed: 0.020 s
% 3.13/0.86 % (667723)Peak memory usage: 11 MB
% 3.13/0.86 % (667723)Instructions burned: 45 (million)
% 3.13/0.86 % (667730)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.13/0.86 % (667729)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1043670583: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)
% 3.13/0.86 % (667730)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3026251153:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.13/0.86 % (667729)Instruction limit reached!
% 3.13/0.86 % (667729)------------------------------
% 3.13/0.86 % (667729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (667729)CaDiCaL version: 2.1.3
% 3.13/0.86 % (667729)Termination reason: Instruction limit
% 3.13/0.86 % (667729)Termination phase: shuffling
% 3.13/0.86 % (667729)Time elapsed: 0.010 s
% 3.13/0.86 % (667729)Peak memory usage: 10 MB
% 3.13/0.86 % (667729)Instructions burned: 23 (million)
% 3.13/0.86 % (667733)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1621003272:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.13/0.86 % (667733)Instruction limit reached!
% 3.13/0.86 % (667733)------------------------------
% 3.13/0.86 % (667733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (667733)CaDiCaL version: 2.1.3
% 3.13/0.86 % (667733)Termination reason: Instruction limit
% 3.13/0.86 % (667733)Termination phase: shuffling
% 3.13/0.86 % (667733)Time elapsed: 0.006 s
% 3.13/0.86 % (667733)Peak memory usage: 10 MB
% 3.13/0.86 % (667733)Instructions burned: 13 (million)
% 3.13/0.86 % (667713)Instruction limit reached!
% 3.13/0.86 % (667713)------------------------------
% 3.13/0.86 % (667713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (667713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667713)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667713)Termination reason: Instruction limit
% 3.75/0.95 % (667713)Termination phase: Saturation
% 3.75/0.95 % (667713)Time elapsed: 0.137 s
% 3.75/0.95 % (667713)Peak memory usage: 14 MB
% 3.75/0.95 % (667713)Instructions burned: 170 (million)
% 3.75/0.95 % (667735)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1491838528:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.75/0.95 % (667736)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3253202378:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.75/0.95 % (667701)Instruction limit reached!
% 3.75/0.95 % (667701)------------------------------
% 3.75/0.95 % (667701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667701)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667701)Termination reason: Instruction limit
% 3.75/0.95 % (667701)Termination phase: Saturation
% 3.75/0.95 % (667701)Time elapsed: 0.254 s
% 3.75/0.95 % (667701)Peak memory usage: 17 MB
% 3.75/0.95 % (667701)Instructions burned: 1247 (million)
% 3.75/0.95 % (667739)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=887360388:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.75/0.95 % (667736)Instruction limit reached!
% 3.75/0.95 % (667736)------------------------------
% 3.75/0.95 % (667736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667736)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667736)Termination reason: Instruction limit
% 3.75/0.95 % (667736)Termination phase: Property scanning
% 3.75/0.95 % (667736)Time elapsed: 0.022 s
% 3.75/0.95 % (667736)Peak memory usage: 11 MB
% 3.75/0.95 % (667736)Instructions burned: 52 (million)
% 3.75/0.95 % (667735)Instruction limit reached!
% 3.75/0.95 % (667735)------------------------------
% 3.75/0.95 % (667735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667735)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667735)Termination reason: Instruction limit
% 3.75/0.95 % (667735)Termination phase: SInE selection
% 3.75/0.95 % (667735)Time elapsed: 0.028 s
% 3.75/0.95 % (667735)Peak memory usage: 11 MB
% 3.75/0.95 % (667735)Instructions burned: 67 (million)
% 3.75/0.95 % (667730)Instruction limit reached!
% 3.75/0.95 % (667730)------------------------------
% 3.75/0.95 % (667730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667730)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667730)Termination reason: Instruction limit
% 3.75/0.95 % (667730)Termination phase: Saturation
% 3.75/0.95 % (667730)Time elapsed: 0.086 s
% 3.75/0.95 % (667730)Peak memory usage: 14 MB
% 3.75/0.95 % (667730)Instructions burned: 201 (million)
% 3.75/0.95 % (667739)Instruction limit reached!
% 3.75/0.95 % (667739)------------------------------
% 3.75/0.95 % (667739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667739)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667739)Termination reason: Instruction limit
% 3.75/0.95 % (667739)Termination phase: Property scanning
% 3.75/0.95 % (667739)Time elapsed: 0.008 s
% 3.75/0.95 % (667739)Peak memory usage: 11 MB
% 3.75/0.95 % (667739)Instructions burned: 38 (million)
% 3.75/0.95 % (667720)Instruction limit reached!
% 3.75/0.95 % (667720)------------------------------
% 3.75/0.95 % (667720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667720)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667720)Termination reason: Instruction limit
% 3.75/0.95 % (667720)Termination phase: Saturation
% 3.75/0.95 % (667720)Time elapsed: 0.149 s
% 3.75/0.95 % (667720)Peak memory usage: 15 MB
% 3.75/0.95 % (667720)Instructions burned: 316 (million)
% 3.75/0.95 % (667744)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.75/0.95 % (667744)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1483783428:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.75/0.95 % (667741)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1940885030:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.75/0.95 % (667742)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2106177390:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.75/0.95 % (667743)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4133158397:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.75/0.95 % (667745)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=335401463:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.75/0.95 % (667742)Instruction limit reached!
% 3.75/0.95 % (667742)------------------------------
% 3.75/0.95 % (667742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667742)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667742)Termination reason: Instruction limit
% 3.75/0.95 % (667742)Termination phase: Property scanning
% 3.75/0.95 % (667742)Time elapsed: 0.016 s
% 3.75/0.95 % (667742)Peak memory usage: 11 MB
% 3.75/0.95 % (667742)Instructions burned: 36 (million)
% 3.75/0.95 % (667743)Instruction limit reached!
% 3.75/0.95 % (667743)------------------------------
% 3.75/0.95 % (667743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667743)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667743)Termination reason: Instruction limit
% 3.75/0.95 % (667743)Termination phase: Property scanning
% 3.75/0.95 % (667743)Time elapsed: 0.029 s
% 3.75/0.95 % (667743)Peak memory usage: 11 MB
% 3.75/0.95 % (667743)Instructions burned: 67 (million)
% 3.75/0.95 % (667744)Instruction limit reached!
% 3.75/0.95 % (667744)------------------------------
% 3.75/0.95 % (667744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667744)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667744)Termination reason: Instruction limit
% 3.75/0.95 % (667744)Termination phase: Saturation
% 3.75/0.95 % (667744)Time elapsed: 0.040 s
% 3.75/0.95 % (667744)Peak memory usage: 13 MB
% 3.75/0.95 % (667744)Instructions burned: 181 (million)
% 3.75/0.95 % (667751)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3912631256:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.75/0.95 % (667753)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3645168988:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.75/0.95 % (667752)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1896697379:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.75/0.95 % (667741)Instruction limit reached!
% 3.75/0.95 % (667741)------------------------------
% 3.75/0.95 % (667741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667741)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667741)Termination reason: Instruction limit
% 3.75/0.95 % (667741)Termination phase: Property scanning
% 3.75/0.95 % (667741)Time elapsed: 0.057 s
% 3.75/0.95 % (667741)Peak memory usage: 12 MB
% 3.75/0.95 % (667741)Instructions burned: 139 (million)
% 3.75/0.95 % (667757)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=858954170:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.75/0.95 % (667751)Instruction limit reached!
% 3.75/0.95 % (667751)------------------------------
% 3.75/0.95 % (667751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667751)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667751)Termination reason: Instruction limit
% 3.75/0.95 % (667751)Termination phase: Twee Goal Transformation
% 3.75/0.95 % (667751)Time elapsed: 0.040 s
% 3.75/0.95 % (667751)Peak memory usage: 12 MB
% 3.75/0.95 % (667751)Instructions burned: 97 (million)
% 3.75/0.95 % (667725)Instruction limit reached!
% 3.75/0.95 % (667725)------------------------------
% 3.75/0.95 % (667725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667725)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667725)Termination reason: Instruction limit
% 3.75/0.95 % (667725)Termination phase: Saturation
% 3.75/0.95 % (667725)Time elapsed: 0.230 s
% 3.75/0.95 % (667725)Peak memory usage: 18 MB
% 3.75/0.95 % (667725)Instructions burned: 480 (million)
% 3.75/0.95 % (667759)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1891279859:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.75/0.95 % (667760)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1586242009:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.75/0.95 % (667745)Instruction limit reached!
% 3.75/0.95 % (667745)------------------------------
% 3.75/0.95 % (667745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667745)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667745)Termination reason: Instruction limit
% 3.75/0.95 % (667745)Termination phase: Saturation
% 3.75/0.95 % (667745)Time elapsed: 0.107 s
% 3.75/0.95 % (667745)Peak memory usage: 14 MB
% 3.75/0.95 % (667745)Instructions burned: 246 (million)
% 3.75/0.95 % (667760)Instruction limit reached!
% 3.75/0.95 % (667760)------------------------------
% 3.75/0.95 % (667760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667760)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667760)Termination reason: Instruction limit
% 3.75/0.95 % (667760)Termination phase: Property scanning
% 3.75/0.95 % (667760)Time elapsed: 0.020 s
% 3.75/0.95 % (667760)Peak memory usage: 11 MB
% 3.75/0.95 % (667760)Instructions burned: 46 (million)
% 3.75/0.95 % (667763)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3647754954:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 3.75/0.95 % (667764)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4096636269:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 3.75/0.95 % (667759)Instruction limit reached!
% 3.75/0.95 % (667759)------------------------------
% 3.75/0.95 % (667759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667759)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667759)Termination reason: Instruction limit
% 3.75/0.95 % (667759)Termination phase: Property scanning
% 3.75/0.95 % (667759)Time elapsed: 0.054 s
% 3.75/0.95 % (667759)Peak memory usage: 12 MB
% 3.75/0.95 % (667759)Instructions burned: 132 (million)
% 3.75/0.95 % (667722) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-667634-667722"...
% 3.75/0.95 % (667767)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=580893022:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 3.75/0.95 % (667722)...printing done.
% 3.75/0.95 % (667722)Refutation found. Thanks to Tanya!
% 3.75/0.95 % SZS status Theorem for theBenchmark
% 3.75/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/0.95 % (667722)------------------------------
% 3.75/0.95 % (667722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.95 % (667722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.95 % (667722)CaDiCaL version: 2.1.3
% 3.75/0.95 % (667722)Termination reason: Refutation
% 3.75/0.95 % (667722)Time elapsed: 0.323 s
% 3.75/0.95 % (667722)Peak memory usage: 22 MB
% 3.75/0.95 % (667722)Instructions burned: 621 (million)
% 3.75/0.95 % (667634)Success in time 0.683 s
% 3.75/0.95 % Vampire exiting
%------------------------------------------------------------------------------