%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU752^1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:08 AM UTC 2026
% Result : Theorem 2.35s 0.67s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 34
% Syntax : Number of formulae : 216 ( 65 unt; 0 typ; 25 def)
% Number of atoms : 5758 (1531 equ; 0 cnn)
% Maximal formula atoms : 273 ( 26 avg)
% Number of connectives : 3981 ( 332 ~; 296 |; 889 &;1276 @)
% ( 47 <=>;1141 =>; 0 <=; 0 <~>)
% Maximal formula depth : 283 ( 13 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 : 539 ( 536 usr; 344 con; 0-4 aty)
% Number of variables : 380 ( 0 sgn 320 !; 60 ?; 380 :)
% 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_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_309,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_310,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_311,type,
vOR: $o > $o > $o ).
thf(func_def_312,type,
vAND: $o > $o > $o ).
thf(func_def_313,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_314,type,
vNOT: $o > $o ).
thf(func_def_315,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_316,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_317,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_318,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_319,type,
vIMP: $o > $o > $o ).
thf(func_def_320,type,
sP0: $o ).
thf(func_def_321,type,
sP1: $i > $i > $o ).
thf(func_def_322,type,
sP2: $i > $o ).
thf(func_def_323,type,
sP3: $o ).
thf(func_def_331,type,
sK11: $i > ( $i > $o ) > $i ).
thf(func_def_332,type,
sK12: $i > $o ).
thf(func_def_338,type,
sK18: $i > $i > $i ).
thf(func_def_341,type,
sK21: $i > $o ).
thf(func_def_345,type,
sK25: $o ).
thf(func_def_349,type,
sK29: $i > $o ).
thf(func_def_350,type,
sK30: $o ).
thf(func_def_353,type,
sK33: $i > $i > $o ).
thf(func_def_356,type,
sK36: $i > $i ).
thf(func_def_376,type,
sK56: $i > $o ).
thf(func_def_379,type,
sK59: $i > $o ).
thf(func_def_380,type,
sK60: $i > $o ).
thf(func_def_381,type,
sK61: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_382,type,
sK62: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_395,type,
sK75: $i > $o ).
thf(func_def_403,type,
sK83: $i > $i > $i > $i ).
thf(func_def_410,type,
sK90: $o ).
thf(func_def_413,type,
sK93: $o ).
thf(func_def_419,type,
sK99: $i > $i ).
thf(func_def_420,type,
sK100: ( $i > $i ) > $i > $i > $i ).
thf(func_def_421,type,
sK101: $i > $o ).
thf(func_def_426,type,
sK106: $i > $i > $o ).
thf(func_def_435,type,
sK115: $i > ( $i > $o ) > $i ).
thf(func_def_436,type,
sK116: $i > $o ).
thf(func_def_440,type,
sK120: $i > $i > $i ).
thf(func_def_447,type,
sK127: $i > $i > $i > $i > $i ).
thf(func_def_456,type,
sK136: $i > $o ).
thf(func_def_459,type,
sK139: $i > ( $i > $o ) > $i ).
thf(func_def_462,type,
sK142: $i > $i > $o ).
thf(func_def_471,type,
sK151: $i > $i ).
thf(func_def_474,type,
sK154: $i > $i ).
thf(func_def_490,type,
sK170: $i > $o ).
thf(func_def_492,type,
sK172: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_493,type,
sK173: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_496,type,
sK176: $i > $i ).
thf(func_def_497,type,
sK177: ( $i > $i ) > $i > $i > $i ).
thf(func_def_498,type,
sK178: $i > ( $i > $o ) > $i ).
thf(func_def_499,type,
sK179: $i > $o ).
thf(func_def_503,type,
sK183: $o ).
thf(func_def_519,type,
sK199: $o ).
thf(func_def_528,type,
sK208: $i > $i > $i > $i > $i ).
thf(func_def_529,type,
sK209: $i > $o ).
thf(func_def_531,type,
sK211: ( $i > $o ) > $i ).
thf(func_def_532,type,
sK212: ( $i > $o ) > $i ).
thf(func_def_547,type,
sK227: $o ).
thf(func_def_548,type,
sK228: $i > $i ).
thf(func_def_551,type,
sK231: $i > $i > ( $i > $i ) > $i ).
thf(func_def_555,type,
sK235: $i > $o ).
thf(func_def_557,type,
sK237: ( $i > $o ) > $i > $i ).
thf(func_def_578,type,
sK258: $i > $o ).
thf(func_def_593,type,
sK273: $i > $i ).
thf(func_def_596,type,
sK276: $i > ( $i > $i ) > $i > $i ).
thf(func_def_602,type,
sK282: $i > $o ).
thf(func_def_606,type,
sK286: $o ).
thf(func_def_607,type,
sK287: $o ).
thf(func_def_634,type,
sK314: $o ).
thf(func_def_635,type,
sK315: $o > $i > $i > $i ).
thf(func_def_637,type,
sK317: ( $i > $o ) > $i ).
thf(func_def_638,type,
sK318: $i > $o ).
thf(func_def_639,type,
sK319: $i > $i ).
thf(func_def_651,type,
sK331: $i > $i > $i ).
thf(func_def_652,type,
sK332: ( $i > $i > $o ) > $i > $i ).
thf(func_def_653,type,
sK333: ( $i > $i > $o ) > $i > $i ).
thf(func_def_654,type,
sK334: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_656,type,
sK336: $i > $i > $o ).
thf(func_def_657,type,
sK337: $i > $i ).
thf(func_def_658,type,
sK338: $i > $i ).
thf(func_def_664,type,
sK344: $i > $i ).
thf(func_def_673,type,
sK353: $i > $i > $i ).
thf(func_def_674,type,
sK354: $i > ( $i > $o ) > $i ).
thf(func_def_675,type,
sK355: $i > ( $i > $o ) > $i ).
thf(func_def_676,type,
sK356: $i > $o ).
thf(func_def_687,type,
sK367: $i > ( $i > $o ) > $i ).
thf(func_def_688,type,
sK368: $i > $o ).
thf(func_def_695,type,
sK375: $i > $i > $i > $i > $i ).
thf(func_def_696,type,
sK376: $i > $i > $i > $i > $i ).
thf(func_def_697,type,
sK377: $i > $i > $i > $i > $i ).
thf(func_def_698,type,
sK378: $i > $i > $i > $i > $i ).
thf(func_def_701,type,
sK381: $i > $i > $i ).
thf(func_def_705,type,
sK385: $i > $o ).
thf(func_def_708,type,
sK388: $i > ( $i > $o ) > $i ).
thf(func_def_709,type,
sK389: $i > ( $i > $o ) > $i ).
thf(func_def_710,type,
sK390: $i > $o ).
thf(func_def_713,type,
sK393: $i > $i > $i > $i > $i ).
thf(func_def_714,type,
sK394: $i > $i > $i > $i > $i ).
thf(func_def_720,type,
sK400: $i > $o ).
thf(func_def_737,type,
sK417: $i > $i > $o ).
thf(func_def_764,type,
sK444: $i > $i > $o ).
thf(func_def_777,type,
sK457: ( $i > $o ) > $i ).
thf(func_def_778,type,
sK458: $i > $o ).
thf(func_def_779,type,
sK459: $i > $i ).
thf(func_def_786,type,
sK466: $i > $i > $i ).
thf(func_def_797,type,
sK477: $i > $i > $i ).
thf(func_def_865,type,
sK545: $i > $i > $i > $i ).
thf(func_def_866,type,
sK546: $i > $i > $i > $i ).
thf(func_def_877,type,
sK557: $i > $o ).
thf(func_def_879,type,
sK559: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_880,type,
sK560: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_893,type,
sK573: $i > $i > $i ).
thf(func_def_895,type,
sK575: $i > $o ).
thf(func_def_911,type,
sK591: $i > $i ).
thf(func_def_912,type,
sK592: $i > $i ).
thf(func_def_913,type,
sK593: $i > $i ).
thf(func_def_914,type,
sK594: $i > $i ).
thf(func_def_915,type,
sK595: $i > $i ).
thf(func_def_916,type,
sK596: $i > $i > $i > $i ).
thf(func_def_917,type,
sK597: $i > $i ).
thf(func_def_918,type,
sK598: $i > $i ).
thf(func_def_919,type,
sK599: $i > $i ).
thf(func_def_920,type,
sK600: $i > $i ).
thf(func_def_921,type,
sK601: $i > $i > $i ).
thf(func_def_922,type,
sK602: $i > $i > $i > $i ).
thf(func_def_923,type,
sK603: $i > $i > $i > $i ).
thf(func_def_924,type,
sK604: $i > $i > $i > $i ).
thf(func_def_925,type,
sK605: $i > $i > $i ).
thf(func_def_926,type,
sK606: $i > $i > $i ).
thf(func_def_927,type,
sK607: $i > $i > $i ).
thf(func_def_928,type,
sK608: $i > $i > $i ).
thf(func_def_933,type,
sK613: $o ).
thf(func_def_935,type,
sK615: $i > $i ).
thf(func_def_945,type,
sK625: $i > $i > $o ).
thf(func_def_956,type,
sK636: $i > $i ).
thf(func_def_957,type,
sK637: $i > $o ).
thf(func_def_959,type,
sK639: $i > ( $i > $o ) > $i ).
thf(func_def_960,type,
sK640: $o ).
thf(func_def_968,type,
sK648: $i > $o ).
thf(func_def_977,type,
sK657: $i > $i ).
thf(func_def_979,type,
sK659: $i > ( $i > $i ) > $i > $i ).
thf(func_def_996,type,
sK676: $i > $i ).
thf(func_def_1008,type,
sK688: $i > $o ).
thf(func_def_1013,type,
sK693: $i > $o ).
thf(func_def_1016,type,
sK696: $i > $i > ( $i > $o ) > $i ).
thf(func_def_1024,type,
sK704: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1025,type,
sK705: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1028,type,
sK708: $i > $o ).
thf(func_def_1029,type,
sK709: $i > $o ).
thf(func_def_1037,type,
sK717: $i > $i > $i > $i ).
thf(func_def_1056,type,
sK736: $o ).
thf(func_def_1059,type,
sK739: $o ).
thf(func_def_1067,type,
sK747: $o ).
thf(func_def_1076,type,
sK756: ( $i > $o ) > $i ).
thf(func_def_1077,type,
sK757: $i > $o ).
thf(func_def_1088,type,
sK768: $i > $i > $i ).
thf(func_def_1089,type,
sK769: $i > $i > $i ).
thf(func_def_1094,type,
sK774: $i > $o ).
thf(func_def_1107,type,
sK787: $o ).
thf(func_def_1114,type,
sK794: $i > $o ).
thf(func_def_1116,type,
sK796: ( $i > $o ) > $i > $i ).
thf(func_def_1117,type,
sK797: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1118,type,
sK798: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1119,type,
sK799: $i > $o ).
thf(func_def_1120,type,
sK800: $i > $o ).
thf(func_def_1127,type,
sK807: $o ).
thf(func_def_1137,type,
sK817: $i > $i > $o ).
thf(func_def_1138,type,
sK818: $i > ( $i > $o ) > $i ).
thf(func_def_1139,type,
sK819: $i > $o ).
thf(func_def_1146,type,
sK826: $o ).
thf(func_def_1153,type,
sK833: $i > $i > $i > $i ).
thf(func_def_1154,type,
sK834: $i > $i > $i > $i ).
thf(func_def_1159,type,
sK839: $i > $i ).
thf(func_def_1162,type,
sK842: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1169,type,
sK849: $i > $i > $i > $i > $i ).
thf(f104,axiom,
( binunionEcases
= ( ! [X0: $i,X2: $i,X3: $o,X1: $i] :
( ( in @ X2 @ ( binunion @ X0 @ X1 ) )
=> ( ( ( in @ X2 @ X0 )
=> X3 )
=> ( ( ( in @ X2 @ X1 )
=> X3 )
=> X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionEcases) ).
thf(f110,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) )
= binintersectEL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectEL) ).
thf(f114,axiom,
( binintersectER
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectER) ).
thf(f119,axiom,
( bs114d
= ( ! [X1: $i,X0: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
= ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bs114d) ).
thf(f122,axiom,
( setminusER
= ( ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).
thf(f124,axiom,
( setminusERneg
= ( ! [X2: $i,X1: $i,X0: $i] :
( ~ ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusERneg) ).
thf(f126,axiom,
( setminusILneg
= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
=> ~ ( in @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusILneg) ).
thf(f265,axiom,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
=> ~ ( in @ X3 @ X1 ) ) ) ) )
= inComplementUnionImpNotIn1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inComplementUnionImpNotIn1) ).
thf(f273,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
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
=> ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan1b) ).
thf(f274,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
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
=> ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f273]) ).
thf(f400,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
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
=> ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f274]) ).
thf(f401,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 )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ( ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
= $true )
=> ( ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f400]) ).
thf(f418,plain,
( binintersectER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
=> ( in @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f114]) ).
thf(f419,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( binintersect @ X2 @ X1 ) ) )
=> ( $true
= ( in @ X0 @ X1 ) ) )
<=> ( binintersectER = $true ) ),
inference(fool_elimination,[],[f418]) ).
thf(f472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X1 @ X0 ) )
=> ( in @ X2 @ X1 ) )
= binintersectEL ),
inference(rectify,[],[f110]) ).
thf(f473,plain,
( ( binintersectEL = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X2 @ ( binintersect @ X1 @ X0 ) ) )
=> ( ( in @ X2 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f472]) ).
thf(f567,plain,
( bs114d
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( binunion @ ( binintersect @ X1 @ X0 ) @ ( binintersect @ X1 @ X2 ) )
= ( binintersect @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f119]) ).
thf(f568,plain,
( ! [X1: $i,X2: $i,X0: $i] :
( ( binunion @ ( binintersect @ X1 @ X0 ) @ ( binintersect @ X1 @ X2 ) )
= ( binintersect @ X1 @ ( binunion @ X0 @ X2 ) ) )
<=> ( bs114d = $true ) ),
inference(fool_elimination,[],[f567]) ).
thf(f592,plain,
( setminusER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( setminus @ X1 @ X2 ) )
=> ~ ( in @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f122]) ).
thf(f593,plain,
( ( setminusER = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
=> ( $true
!= ( in @ X0 @ X2 ) ) ) ),
inference(fool_elimination,[],[f592]) ).
thf(f632,plain,
( binunionEcases
= ( ! [X0: $i,X1: $i,X2: $o,X3: $i] :
( ( in @ X1 @ ( binunion @ X0 @ X3 ) )
=> ( ( ( in @ X1 @ X0 )
=> X2 )
=> ( ( ( in @ X1 @ X3 )
=> X2 )
=> X2 ) ) ) ) ),
inference(rectify,[],[f104]) ).
thf(f633,plain,
( ! [X0: $i,X3: $i,X2: $o,X1: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X0 @ X3 ) ) )
=> ( ( ( ( in @ X1 @ X0 )
= $true )
=> ( $true = X2 ) )
=> ( ( ( ( in @ X1 @ X3 )
= $true )
=> ( $true = X2 ) )
=> ( $true = X2 ) ) ) )
<=> ( binunionEcases = $true ) ),
inference(fool_elimination,[],[f632]) ).
thf(f699,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
=> ~ ( in @ X3 @ X1 ) ) ) ) )
= inComplementUnionImpNotIn1 ),
inference(rectify,[],[f265]) ).
thf(f700,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ( ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true )
=> ( ( in @ X3 @ X1 )
!= $true ) ) ) ) )
<=> ( inComplementUnionImpNotIn1 = $true ) ),
inference(fool_elimination,[],[f699]) ).
thf(f796,plain,
( setminusILneg
= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
=> ~ ( in @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f126]) ).
thf(f797,plain,
( ( setminusILneg = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
=> ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) ) ),
inference(fool_elimination,[],[f796]) ).
thf(f804,plain,
( setminusERneg
= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( setminus @ X2 @ X1 ) )
=> ( ( in @ X0 @ X2 )
=> ( in @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f124]) ).
thf(f805,plain,
( ( setminusERneg = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
=> ( ( $true
= ( in @ X0 @ X2 ) )
=> ( $true
= ( in @ X0 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f804]) ).
thf(f838,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
=> ( $true
!= ( in @ X0 @ X2 ) ) )
<=> ( setminusER = $true ) ),
inference(flattening,[],[f593]) ).
thf(f851,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ( ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true )
=> ( ( in @ X3 @ X1 )
!= $true ) ) ) ) )
<=> ( inComplementUnionImpNotIn1 = $true ) ),
inference(flattening,[],[f700]) ).
thf(f857,plain,
( ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
=> ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) )
<=> ( setminusILneg = $true ) ),
inference(flattening,[],[f797]) ).
thf(f858,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
=> ( ( $true
= ( in @ X0 @ X2 ) )
=> ( $true
= ( in @ X0 @ X1 ) ) ) )
<=> ( setminusERneg = $true ) ),
inference(flattening,[],[f805]) ).
thf(f912,plain,
( ( binintersectEL = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( $true
!= ( in @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) ),
inference(ennf_transformation,[],[f473]) ).
thf(f944,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
!= ( in @ X0 @ X2 ) ) )
<=> ( setminusER = $true ) ),
inference(ennf_transformation,[],[f838]) ).
thf(f994,plain,
( ! [X0: $i,X3: $i,X2: $o,X1: $i] :
( ( $true = X2 )
| ( ( ( in @ X1 @ X3 )
= $true )
& ( $true != X2 ) )
| ( ( $true != X2 )
& ( ( in @ X1 @ X0 )
= $true ) )
| ( $true
!= ( in @ X1 @ ( binunion @ X0 @ X3 ) ) ) )
<=> ( binunionEcases = $true ) ),
inference(ennf_transformation,[],[f633]) ).
thf(f995,plain,
( ( binunionEcases = $true )
<=> ! [X3: $i,X0: $i,X2: $o,X1: $i] :
( ( $true = X2 )
| ( ( ( in @ X1 @ X3 )
= $true )
& ( $true != X2 ) )
| ( ( $true != X2 )
& ( ( in @ X1 @ X0 )
= $true ) )
| ( $true
!= ( in @ X1 @ ( binunion @ X0 @ X3 ) ) ) ) ),
inference(flattening,[],[f994]) ).
thf(f1001,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) ) )
<=> ( setminusERneg = $true ) ),
inference(ennf_transformation,[],[f858]) ).
thf(f1002,plain,
( ( setminusERneg = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ X1 ) ) ) ),
inference(flattening,[],[f1001]) ).
thf(f1052,plain,
( ( binintersectER = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( binintersect @ X2 @ X1 ) ) )
| ( $true
= ( in @ X0 @ X1 ) ) ) ),
inference(ennf_transformation,[],[f419]) ).
thf(f1071,plain,
( ( setminusILneg = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f857]) ).
thf(f1129,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
<=> ( inComplementUnionImpNotIn1 = $true ) ),
inference(ennf_transformation,[],[f851]) ).
thf(f1130,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) ) )
<=> ( inComplementUnionImpNotIn1 = $true ) ),
inference(flattening,[],[f1129]) ).
thf(f1175,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
!= $true )
& ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
= $true )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $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,[],[f401]) ).
thf(f1176,plain,
( ( setukpairinjR2 = $true )
& ( emptysetE = $true )
& ( contraSubsetComplement = $true )
& ( upairsetE = $true )
& ( dsetconstrI = $true )
& ( doubleComplementI1 = $true )
& ( iftrueProp2 = $true )
& ( subsetE2 = $true )
& ( singletoninpowerset = $true )
& ( bs114d = $true )
& ( vacuousDall = $true )
& ( setunionE = $true )
& ( binunionTILcontra = $true )
& ( contrasubsetT3 = $true )
& ( nonemptyI1 = $true )
& ( theprop = $true )
& ( iffalse = $true )
& ( eta1 = $true )
& ( upairinpowunion = $true )
& ( quantDeMorgan3 = $true )
& ( singletonsubset = $true )
& ( exuEu = $true )
& ( ubforcartprodlem3 = $true )
& ( setukpairinjR1 = $true )
& ( binunionT_lem = $true )
& ( funcGraphProp4 = $true )
& ( lam2p = $true )
& ( demorgan2a1 = $true )
& ( notequalI2 = $true )
& ( exuI1 = $true )
& ( symdiffI1 = $true )
& ( setadjoinSub2 = $true )
& ( prop2setI = $true )
& ( quantDeMorgan2 = $true )
& ( setukpairinjR11 = $true )
& ( dsetconstr__Cong = $true )
& ( emptysetimpfalse = $true )
& ( exu__Cong = $true )
& ( binunionEcases = $true )
& ( binunionTIRcontra = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetAx = $true )
& ( funcGraphProp3 = $true )
& ( ap2apEq2 = $true )
& ( setukpairIL = $true )
& ( dpsetconstrSub = $true )
& ( prop2set2propI = $true )
& ( symdiffIneg2 = $true )
& ( nonemptyI = $true )
& ( symdiffI2 = $true )
& ( setukpairIR = $true )
& ( emptyInPowerset = $true )
& ( cartprodmempaircEq = $true )
& ( infuncsetfunc = $true )
& ( iftrueorfalse = $true )
& ( setminusT_lem = $true )
& ( exuI2 = $true )
& ( binintersectTERcontra = $true )
& ( setminusI = $true )
& ( funcextLem = $true )
& ( demorgan2a2 = $true )
& ( funcGraphProp1 = $true )
& ( contrasubsetT2 = $true )
& ( binunionTE = $true )
& ( setext = $true )
& ( powersetTE1 = $true )
& ( sepSubset = $true )
& ( ubforcartprodlem2 = $true )
& ( upairsetIR = $true )
& ( setukpairinjL1 = $true )
& ( powersetTI1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( eta2 = $true )
& ( cartprodsndpairEq = $true )
& ( notdallE = $true )
& ( dpsetconstrER = $true )
& ( symdiffIneg1 = $true )
& ( setminusELneg = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( exuE2 = $true )
& ( cartprodfstpairEq = $true )
& ( emptyset__Cong = $true )
& ( emptyE1 = $true )
& ( upairset2E = $true )
& ( complementTcontraSubset = $true )
& ( wellorderingAx = $true )
& ( ex1I2 = $true )
& ( powersetsubset = $true )
& ( lamProp = $true )
& ( beta1 = $true )
& ( secondinupair = $true )
& ( eqimpsubset1 = $true )
& ( emptysetAx = $true )
& ( setadjoinIR = $true )
& ( kpairsurjEq = $true )
& ( dsetconstrER = $true )
& ( subPowSU = $true )
& ( setminusLsub = $true )
& ( setOfPairsIsBReln = $true )
& ( setadjoinSub = $true )
& ( cartprodpairsurjEq = $true )
& ( setminusSubset1 = $true )
& ( cartprodmempair1 = $true )
& ( binintersectSubset5 = $true )
& ( notsubsetI = $true )
& ( powersetI1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( setminusERneg = $true )
& ( brelnall1 = $true )
& ( dsetconstrEL = $true )
& ( iffalseProp2 = $true )
& ( upairsubunion = $true )
& ( singletonsswitch = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( iftrue = $true )
& ( exuE3u = $true )
& ( foundationAx = $true )
& ( binintersectEL = $true )
& ( in__Cong = $true )
& ( binunionTEcontra = $true )
& ( kpairiskpair = $true )
& ( subbreln = $true )
& ( ex1I = $true )
& ( subsetE = $true )
& ( uniqinunit = $true )
& ( setextsub = $true )
& ( binintersectSubset2 = $true )
& ( subsetTrans = $true )
& ( funcImageSingleton = $true )
& ( descr__Cong = $true )
& ( notequalI1 = $true )
& ( complementImpComplementIntersect = $true )
& ( theeq = $true )
& ( binintersectT_lem = $true )
& ( complementTI1 = $true )
& ( symdiffE = $true )
& ( descrp = $true )
& ( setunionsingleton2 = $true )
& ( setminusEL = $true )
& ( subsetI1 = $true )
& ( setunionE2 = $true )
& ( doubleComplementSub2 = $true )
& ( exuE3e = $true )
& ( doubleComplementE1 = $true )
& ( omegaIndAx = $true )
& ( complementTnotintersectT = $true )
& ( setadjoinAx = $true )
& ( binunionIL = $true )
& ( binunionE = $true )
& ( emptysetsubset = $true )
& ( setminusIRneg = $true )
& ( complementT_lem = $true )
& ( doubleComplementSub1 = $true )
& ( setunionsingleton = $true )
& ( lamp = $true )
& ( dpsetconstrEL2 = $true )
& ( eqbreln = $true )
& ( upairsetIL = $true )
& ( setukpairinjL2 = $true )
& ( ifp = $true )
& ( disjointsetsI1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( quantDeMorgan1 = $true )
& ( cartprodpairmemER = $true )
& ( setminusER = $true )
& ( contrasubsetT1 = $true )
& ( singletonprop = $true )
& ( ex1E1 = $true )
& ( complementTE1 = $true )
& ( setukpairinjR = $true )
& ( binunionRsub = $true )
& ( setunionsingleton1 = $true )
& ( subsetI2 = $true )
& ( cartprodpairmemEL = $true )
& ( setminusSubset2 = $true )
& ( inCongP = $true )
& ( noeltsimpempty = $true )
& ( notdexE = $true )
& ( iftrueProp1 = $true )
& ( setukpairinjL = $true )
& ( omegaSAx = $true )
& ( kfstpairEq = $true )
& ( powersetT_lem = $true )
& ( iffalseProp1 = $true )
& ( replAx = $true )
& ( binunionLsub = $true )
& ( notinsingleton = $true )
& ( binintersectSubset3 = $true )
& ( nonemptyE1 = $true )
& ( prop2setE = $true )
& ( funcinfuncset = $true )
& ( upairequniteq = $true )
& ( binintersectSubset1 = $true )
& ( funcext = $true )
& ( binintersectTELcontra = $true )
& ( sepInPowerset = $true )
& ( beta2 = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
!= $true )
& ( ( in @ X3 @ ( binunion @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
= $true )
& ( ( in @ X3 @ X0 )
= $true ) ) ) )
& ( subsetemptysetimpeq = $true )
& ( setunionI = $true )
& ( binintersectER = $true )
& ( inPowerset = $true )
& ( setoftrueEq = $true )
& ( kfstsingleton = $true )
& ( funcext2 = $true )
& ( subset2powerset = $true )
& ( exuI3 = $true )
& ( omega0Ax = $true )
& ( ifSingleton = $true )
& ( setextAx = $true )
& ( singletonsuniq = $true )
& ( eqimpsubset2 = $true )
& ( notinemptyset = $true )
& ( cartprodmempair = $true )
& ( subsetRefl = $true )
& ( upairset2IR = $true )
& ( setadjoin__Cong = $true )
& ( nonemptyImpWitness = $true )
& ( brelnall2 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( doubleComplementEq = $true )
& ( app = $true )
& ( ksndpairEq = $true )
& ( cartprodsndin = $true )
& ( setadjoinOr = $true )
& ( setbeta = $true )
& ( inIntersectImpInUnion = $true )
& ( emptyinPowerset = $true )
& ( cartprodfstin = $true )
& ( dpsetconstrERa = $true )
& ( lam2lamEq = $true )
& ( binintersectI = $true )
& ( exuE1 = $true )
& ( ksndsingleton = $true )
& ( cartprodpairin = $true )
& ( kpairp = $true )
& ( setextT = $true )
& ( ap2apEq1 = $true )
& ( binintersectLsub = $true )
& ( setukpairinjR12 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( apProp = $true )
& ( binunionIR = $true )
& ( quantDeMorgan4 = $true )
& ( setadjoinE = $true )
& ( inIntersectImpInUnion2 = $true )
& ( demorgan1a = $true )
& ( ap2p = $true )
& ( powersetE1 = $true )
& ( binintersectRsub = $true )
& ( powerset__Cong = $true )
& ( setunion__Cong = $true )
& ( setadjoinIL = $true )
& ( singletoninpowunion = $true )
& ( ex1E2 = $true )
& ( funcGraphProp2 = $true )
& ( binintersectSubset4 = $true )
& ( contrasubsetT = $true )
& ( setunionAx = $true )
& ( eqinunit = $true )
& ( dpsetconstrI = $true )
& ( powersetE = $true )
& ( powersetI = $true )
& ( setminusILneg = $true )
& ( emptyinunitempty = $true )
& ( subsetTI = $true )
& ( dpsetconstrEL1 = $true )
& ( emptyI = $true )
& ( omega__Cong = $true ) ),
inference(flattening,[],[f1175]) ).
thf(f1183,plain,
( ( ( setminusILneg = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) )
| ( setminusILneg != $true ) ) ),
inference(nnf_transformation,[],[f1071]) ).
thf(f1184,plain,
( ( ( setminusILneg = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ X3 )
= $true )
| ( $true
!= ( in @ X5 @ ( setminus @ X3 @ X4 ) ) ) )
| ( setminusILneg != $true ) ) ),
inference(rectify,[],[f1183]) ).
thf(f1185,plain,
( ( ( setminusILneg = $true )
| ( ( ( in @ sK6 @ sK4 )
!= $true )
& ( $true
= ( in @ sK6 @ ( setminus @ sK4 @ sK5 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ X3 )
= $true )
| ( $true
!= ( in @ X5 @ ( setminus @ X3 @ X4 ) ) ) )
| ( setminusILneg != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f1184]) ).
thf(f1264,plain,
( ( ( binintersectER = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( binintersect @ X2 @ X1 ) ) )
& ( $true
!= ( in @ X0 @ X1 ) ) ) )
& ( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( binintersect @ X2 @ X1 ) ) )
| ( $true
= ( in @ X0 @ X1 ) ) )
| ( binintersectER != $true ) ) ),
inference(nnf_transformation,[],[f1052]) ).
thf(f1265,plain,
( ( ( binintersectER = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) )
& ( ( in @ X1 @ X2 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( binintersect @ X3 @ X5 ) ) )
| ( ( in @ X4 @ X5 )
= $true ) )
| ( binintersectER != $true ) ) ),
inference(rectify,[],[f1264]) ).
thf(f1266,plain,
( ( ( binintersectER = $true )
| ( ( $true
= ( in @ sK81 @ ( binintersect @ sK80 @ sK82 ) ) )
& ( $true
!= ( in @ sK81 @ sK82 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( binintersect @ X3 @ X5 ) ) )
| ( ( in @ X4 @ X5 )
= $true ) )
| ( binintersectER != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81,sK82]),skolemize(X0,sK80),skolemize(X1,sK81),skolemize(X2,sK82)],[f1265]) ).
thf(f1570,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ? [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ( ( in @ X3 @ X1 )
= $true )
& ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) ) ) ) ),
inference(nnf_transformation,[],[f1130]) ).
thf(f1571,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ? [X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ ( powerset @ X5 ) ) )
& ? [X6: $i] :
( ? [X7: $i] :
( ( $true
= ( in @ X7 @ X5 ) )
& ( $true
= ( in @ X7 @ X4 ) )
& ( $true
= ( in @ X7 @ ( setminus @ X5 @ ( binunion @ X4 @ X6 ) ) ) ) )
& ( ( in @ X6 @ ( powerset @ X5 ) )
= $true ) ) ) ) ),
inference(rectify,[],[f1570]) ).
thf(f1572,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ( ( $true
= ( in @ sK426 @ ( powerset @ sK427 ) ) )
& ( $true
= ( in @ sK429 @ sK427 ) )
& ( $true
= ( in @ sK429 @ sK426 ) )
& ( ( in @ sK429 @ ( setminus @ sK427 @ ( binunion @ sK426 @ sK428 ) ) )
= $true )
& ( $true
= ( in @ sK428 @ ( powerset @ sK427 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK426,sK427,sK428,sK429]),skolemize(X4,sK426),skolemize(X5,sK427),skolemize(X6,sK428),skolemize(X7,sK429)],[f1571]) ).
thf(f1573,plain,
( ( ( setminusERneg = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
& ( $true
= ( in @ X0 @ X2 ) )
& ( $true
!= ( in @ X0 @ X1 ) ) ) )
& ( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ X1 ) ) )
| ( setminusERneg != $true ) ) ),
inference(nnf_transformation,[],[f1002]) ).
thf(f1574,plain,
( ( ( setminusERneg = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X1 @ ( setminus @ X0 @ X2 ) ) )
& ( ( in @ X1 @ X0 )
= $true )
& ( ( in @ X1 @ X2 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ ( setminus @ X3 @ X5 ) ) )
| ( $true
!= ( in @ X4 @ X3 ) )
| ( ( in @ X4 @ X5 )
= $true ) )
| ( setminusERneg != $true ) ) ),
inference(rectify,[],[f1573]) ).
thf(f1575,plain,
( ( ( setminusERneg = $true )
| ( ( $true
!= ( in @ sK431 @ ( setminus @ sK430 @ sK432 ) ) )
& ( $true
= ( in @ sK431 @ sK430 ) )
& ( $true
!= ( in @ sK431 @ sK432 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ ( setminus @ X3 @ X5 ) ) )
| ( $true
!= ( in @ X4 @ X3 ) )
| ( ( in @ X4 @ X5 )
= $true ) )
| ( setminusERneg != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK430,sK431,sK432]),skolemize(X0,sK430),skolemize(X1,sK431),skolemize(X2,sK432)],[f1574]) ).
thf(f1598,plain,
( ( setukpairinjR2 = $true )
& ( emptysetE = $true )
& ( contraSubsetComplement = $true )
& ( upairsetE = $true )
& ( dsetconstrI = $true )
& ( doubleComplementI1 = $true )
& ( iftrueProp2 = $true )
& ( subsetE2 = $true )
& ( singletoninpowerset = $true )
& ( bs114d = $true )
& ( vacuousDall = $true )
& ( setunionE = $true )
& ( binunionTILcontra = $true )
& ( contrasubsetT3 = $true )
& ( nonemptyI1 = $true )
& ( theprop = $true )
& ( iffalse = $true )
& ( eta1 = $true )
& ( upairinpowunion = $true )
& ( quantDeMorgan3 = $true )
& ( singletonsubset = $true )
& ( exuEu = $true )
& ( ubforcartprodlem3 = $true )
& ( setukpairinjR1 = $true )
& ( binunionT_lem = $true )
& ( funcGraphProp4 = $true )
& ( lam2p = $true )
& ( demorgan2a1 = $true )
& ( notequalI2 = $true )
& ( exuI1 = $true )
& ( symdiffI1 = $true )
& ( setadjoinSub2 = $true )
& ( prop2setI = $true )
& ( quantDeMorgan2 = $true )
& ( setukpairinjR11 = $true )
& ( dsetconstr__Cong = $true )
& ( emptysetimpfalse = $true )
& ( exu__Cong = $true )
& ( binunionEcases = $true )
& ( binunionTIRcontra = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetAx = $true )
& ( funcGraphProp3 = $true )
& ( ap2apEq2 = $true )
& ( setukpairIL = $true )
& ( dpsetconstrSub = $true )
& ( prop2set2propI = $true )
& ( symdiffIneg2 = $true )
& ( nonemptyI = $true )
& ( symdiffI2 = $true )
& ( setukpairIR = $true )
& ( emptyInPowerset = $true )
& ( cartprodmempaircEq = $true )
& ( infuncsetfunc = $true )
& ( iftrueorfalse = $true )
& ( setminusT_lem = $true )
& ( exuI2 = $true )
& ( binintersectTERcontra = $true )
& ( setminusI = $true )
& ( funcextLem = $true )
& ( demorgan2a2 = $true )
& ( funcGraphProp1 = $true )
& ( contrasubsetT2 = $true )
& ( binunionTE = $true )
& ( setext = $true )
& ( powersetTE1 = $true )
& ( sepSubset = $true )
& ( ubforcartprodlem2 = $true )
& ( upairsetIR = $true )
& ( setukpairinjL1 = $true )
& ( powersetTI1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( eta2 = $true )
& ( cartprodsndpairEq = $true )
& ( notdallE = $true )
& ( dpsetconstrER = $true )
& ( symdiffIneg1 = $true )
& ( setminusELneg = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( exuE2 = $true )
& ( cartprodfstpairEq = $true )
& ( emptyset__Cong = $true )
& ( emptyE1 = $true )
& ( upairset2E = $true )
& ( complementTcontraSubset = $true )
& ( wellorderingAx = $true )
& ( ex1I2 = $true )
& ( powersetsubset = $true )
& ( lamProp = $true )
& ( beta1 = $true )
& ( secondinupair = $true )
& ( eqimpsubset1 = $true )
& ( emptysetAx = $true )
& ( setadjoinIR = $true )
& ( kpairsurjEq = $true )
& ( dsetconstrER = $true )
& ( subPowSU = $true )
& ( setminusLsub = $true )
& ( setOfPairsIsBReln = $true )
& ( setadjoinSub = $true )
& ( cartprodpairsurjEq = $true )
& ( setminusSubset1 = $true )
& ( cartprodmempair1 = $true )
& ( binintersectSubset5 = $true )
& ( notsubsetI = $true )
& ( powersetI1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( setminusERneg = $true )
& ( brelnall1 = $true )
& ( dsetconstrEL = $true )
& ( iffalseProp2 = $true )
& ( upairsubunion = $true )
& ( singletonsswitch = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( iftrue = $true )
& ( exuE3u = $true )
& ( foundationAx = $true )
& ( binintersectEL = $true )
& ( in__Cong = $true )
& ( binunionTEcontra = $true )
& ( kpairiskpair = $true )
& ( subbreln = $true )
& ( ex1I = $true )
& ( subsetE = $true )
& ( uniqinunit = $true )
& ( setextsub = $true )
& ( binintersectSubset2 = $true )
& ( subsetTrans = $true )
& ( funcImageSingleton = $true )
& ( descr__Cong = $true )
& ( notequalI1 = $true )
& ( complementImpComplementIntersect = $true )
& ( theeq = $true )
& ( binintersectT_lem = $true )
& ( complementTI1 = $true )
& ( symdiffE = $true )
& ( descrp = $true )
& ( setunionsingleton2 = $true )
& ( setminusEL = $true )
& ( subsetI1 = $true )
& ( setunionE2 = $true )
& ( doubleComplementSub2 = $true )
& ( exuE3e = $true )
& ( doubleComplementE1 = $true )
& ( omegaIndAx = $true )
& ( complementTnotintersectT = $true )
& ( setadjoinAx = $true )
& ( binunionIL = $true )
& ( binunionE = $true )
& ( emptysetsubset = $true )
& ( setminusIRneg = $true )
& ( complementT_lem = $true )
& ( doubleComplementSub1 = $true )
& ( setunionsingleton = $true )
& ( lamp = $true )
& ( dpsetconstrEL2 = $true )
& ( eqbreln = $true )
& ( upairsetIL = $true )
& ( setukpairinjL2 = $true )
& ( ifp = $true )
& ( disjointsetsI1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( quantDeMorgan1 = $true )
& ( cartprodpairmemER = $true )
& ( setminusER = $true )
& ( contrasubsetT1 = $true )
& ( singletonprop = $true )
& ( ex1E1 = $true )
& ( complementTE1 = $true )
& ( setukpairinjR = $true )
& ( binunionRsub = $true )
& ( setunionsingleton1 = $true )
& ( subsetI2 = $true )
& ( cartprodpairmemEL = $true )
& ( setminusSubset2 = $true )
& ( inCongP = $true )
& ( noeltsimpempty = $true )
& ( notdexE = $true )
& ( iftrueProp1 = $true )
& ( setukpairinjL = $true )
& ( omegaSAx = $true )
& ( kfstpairEq = $true )
& ( powersetT_lem = $true )
& ( iffalseProp1 = $true )
& ( replAx = $true )
& ( binunionLsub = $true )
& ( notinsingleton = $true )
& ( binintersectSubset3 = $true )
& ( nonemptyE1 = $true )
& ( prop2setE = $true )
& ( funcinfuncset = $true )
& ( upairequniteq = $true )
& ( binintersectSubset1 = $true )
& ( funcext = $true )
& ( binintersectTELcontra = $true )
& ( sepInPowerset = $true )
& ( beta2 = $true )
& ( $true
= ( in @ sK454 @ ( powerset @ sK453 ) ) )
& ( $true
= ( in @ sK455 @ ( powerset @ sK453 ) ) )
& ( $true
!= ( in @ sK456 @ ( setminus @ sK453 @ ( binintersect @ sK454 @ sK455 ) ) ) )
& ( $true
= ( in @ sK456 @ ( binunion @ ( setminus @ sK453 @ sK454 ) @ ( setminus @ sK453 @ sK455 ) ) ) )
& ( $true
= ( in @ sK456 @ sK453 ) )
& ( subsetemptysetimpeq = $true )
& ( setunionI = $true )
& ( binintersectER = $true )
& ( inPowerset = $true )
& ( setoftrueEq = $true )
& ( kfstsingleton = $true )
& ( funcext2 = $true )
& ( subset2powerset = $true )
& ( exuI3 = $true )
& ( omega0Ax = $true )
& ( ifSingleton = $true )
& ( setextAx = $true )
& ( singletonsuniq = $true )
& ( eqimpsubset2 = $true )
& ( notinemptyset = $true )
& ( cartprodmempair = $true )
& ( subsetRefl = $true )
& ( upairset2IR = $true )
& ( setadjoin__Cong = $true )
& ( nonemptyImpWitness = $true )
& ( brelnall2 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( doubleComplementEq = $true )
& ( app = $true )
& ( ksndpairEq = $true )
& ( cartprodsndin = $true )
& ( setadjoinOr = $true )
& ( setbeta = $true )
& ( inIntersectImpInUnion = $true )
& ( emptyinPowerset = $true )
& ( cartprodfstin = $true )
& ( dpsetconstrERa = $true )
& ( lam2lamEq = $true )
& ( binintersectI = $true )
& ( exuE1 = $true )
& ( ksndsingleton = $true )
& ( cartprodpairin = $true )
& ( kpairp = $true )
& ( setextT = $true )
& ( ap2apEq1 = $true )
& ( binintersectLsub = $true )
& ( setukpairinjR12 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( apProp = $true )
& ( binunionIR = $true )
& ( quantDeMorgan4 = $true )
& ( setadjoinE = $true )
& ( inIntersectImpInUnion2 = $true )
& ( demorgan1a = $true )
& ( ap2p = $true )
& ( powersetE1 = $true )
& ( binintersectRsub = $true )
& ( powerset__Cong = $true )
& ( setunion__Cong = $true )
& ( setadjoinIL = $true )
& ( singletoninpowunion = $true )
& ( ex1E2 = $true )
& ( funcGraphProp2 = $true )
& ( binintersectSubset4 = $true )
& ( contrasubsetT = $true )
& ( setunionAx = $true )
& ( eqinunit = $true )
& ( dpsetconstrI = $true )
& ( powersetE = $true )
& ( powersetI = $true )
& ( setminusILneg = $true )
& ( emptyinunitempty = $true )
& ( subsetTI = $true )
& ( dpsetconstrEL1 = $true )
& ( emptyI = $true )
& ( omega__Cong = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK453,sK454,sK455,sK456]),skolemize(X0,sK453),skolemize(X1,sK454),skolemize(X2,sK455),skolemize(X3,sK456)],[f1176]) ).
thf(f1716,plain,
( ( ! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
!= ( in @ X0 @ X2 ) ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ? [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
& ( $true
= ( in @ X0 @ X2 ) ) ) ) ),
inference(nnf_transformation,[],[f944]) ).
thf(f1717,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X3 @ ( setminus @ X5 @ X4 ) ) )
& ( $true
= ( in @ X3 @ X4 ) ) ) ) ),
inference(rectify,[],[f1716]) ).
thf(f1718,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( setminusER != $true ) )
& ( ( setminusER = $true )
| ( ( $true
= ( in @ sK563 @ ( setminus @ sK565 @ sK564 ) ) )
& ( $true
= ( in @ sK563 @ sK564 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK563,sK564,sK565]),skolemize(X3,sK563),skolemize(X4,sK564),skolemize(X5,sK565)],[f1717]) ).
thf(f1828,plain,
( ( ( binintersectEL = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
& ( $true
= ( in @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( $true
!= ( in @ X2 @ ( binintersect @ X1 @ X0 ) ) ) )
| ( binintersectEL != $true ) ) ),
inference(nnf_transformation,[],[f912]) ).
thf(f1829,plain,
( ( ( binintersectEL = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
& ( $true
= ( in @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X4 @ X3 ) ) ) )
| ( binintersectEL != $true ) ) ),
inference(rectify,[],[f1828]) ).
thf(f1830,plain,
( ( ( binintersectEL = $true )
| ( ( $true
!= ( in @ sK685 @ sK684 ) )
& ( $true
= ( in @ sK685 @ ( binintersect @ sK684 @ sK683 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X4 @ X3 ) ) ) )
| ( binintersectEL != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK683,sK684,sK685]),skolemize(X0,sK683),skolemize(X1,sK684),skolemize(X2,sK685)],[f1829]) ).
thf(f1840,plain,
( ( ! [X1: $i,X2: $i,X0: $i] :
( ( binunion @ ( binintersect @ X1 @ X0 ) @ ( binintersect @ X1 @ X2 ) )
= ( binintersect @ X1 @ ( binunion @ X0 @ X2 ) ) )
| ( bs114d != $true ) )
& ( ( bs114d = $true )
| ? [X1: $i,X2: $i,X0: $i] :
( ( binunion @ ( binintersect @ X1 @ X0 ) @ ( binintersect @ X1 @ X2 ) )
!= ( binintersect @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ),
inference(nnf_transformation,[],[f568]) ).
thf(f1841,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
| ( bs114d != $true ) )
& ( ( bs114d = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( binintersect @ X3 @ ( binunion @ X5 @ X4 ) )
!= ( binunion @ ( binintersect @ X3 @ X5 ) @ ( binintersect @ X3 @ X4 ) ) ) ) ),
inference(rectify,[],[f1840]) ).
thf(f1842,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
| ( bs114d != $true ) )
& ( ( bs114d = $true )
| ( ( binunion @ ( binintersect @ sK697 @ sK699 ) @ ( binintersect @ sK697 @ sK698 ) )
!= ( binintersect @ sK697 @ ( binunion @ sK699 @ sK698 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK697,sK698,sK699]),skolemize(X3,sK697),skolemize(X4,sK698),skolemize(X5,sK699)],[f1841]) ).
thf(f1888,plain,
( ( ( binunionEcases = $true )
| ? [X3: $i,X0: $i,X2: $o,X1: $i] :
( ( $true != X2 )
& ( ( ( in @ X1 @ X3 )
!= $true )
| ( $true = X2 ) )
& ( ( $true = X2 )
| ( ( in @ X1 @ X0 )
!= $true ) )
& ( $true
= ( in @ X1 @ ( binunion @ X0 @ X3 ) ) ) ) )
& ( ! [X3: $i,X0: $i,X2: $o,X1: $i] :
( ( $true = X2 )
| ( ( ( in @ X1 @ X3 )
= $true )
& ( $true != X2 ) )
| ( ( $true != X2 )
& ( ( in @ X1 @ X0 )
= $true ) )
| ( $true
!= ( in @ X1 @ ( binunion @ X0 @ X3 ) ) ) )
| ( binunionEcases != $true ) ) ),
inference(nnf_transformation,[],[f995]) ).
thf(f1889,plain,
( ( ( binunionEcases = $true )
| ? [X0: $i,X1: $i,X2: $o,X3: $i] :
( ( $true != X2 )
& ( ( ( in @ X3 @ X0 )
!= $true )
| ( $true = X2 ) )
& ( ( $true = X2 )
| ( ( in @ X3 @ X1 )
!= $true ) )
& ( $true
= ( in @ X3 @ ( binunion @ X1 @ X0 ) ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $o,X7: $i] :
( ( $true = X6 )
| ( ( $true
= ( in @ X7 @ X4 ) )
& ( $true != X6 ) )
| ( ( $true != X6 )
& ( $true
= ( in @ X7 @ X5 ) ) )
| ( $true
!= ( in @ X7 @ ( binunion @ X5 @ X4 ) ) ) )
| ( binunionEcases != $true ) ) ),
inference(rectify,[],[f1888]) ).
thf(f1890,plain,
( ( ( binunionEcases = $true )
| ( ( sK747 != $true )
& ( ( $true
!= ( in @ sK748 @ sK745 ) )
| ( sK747 = $true ) )
& ( ( sK747 = $true )
| ( $true
!= ( in @ sK748 @ sK746 ) ) )
& ( $true
= ( in @ sK748 @ ( binunion @ sK746 @ sK745 ) ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $o,X7: $i] :
( ( $true = X6 )
| ( ( $true
= ( in @ X7 @ X4 ) )
& ( $true != X6 ) )
| ( ( $true != X6 )
& ( $true
= ( in @ X7 @ X5 ) ) )
| ( $true
!= ( in @ X7 @ ( binunion @ X5 @ X4 ) ) ) )
| ( binunionEcases != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK745,sK746,sK747,sK748]),skolemize(X0,sK745),skolemize(X1,sK746),skolemize(X2,sK747),skolemize(X3,sK748)],[f1889]) ).
thf(f1987,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( setminus @ X3 @ X4 ) ) )
| ( ( in @ X5 @ X3 )
= $true )
| ( setminusILneg != $true ) ),
inference(cnf_transformation,[],[f1185]) ).
thf(f2087,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( binintersect @ X3 @ X5 ) ) )
| ( ( in @ X4 @ X5 )
= $true )
| ( binintersectER != $true ) ),
inference(cnf_transformation,[],[f1266]) ).
thf(f2562,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
| ( inComplementUnionImpNotIn1 != $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( ( in @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1572]) ).
thf(f2563,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
= $true )
| ( $true
!= ( in @ X4 @ X3 ) )
| ( setminusERneg != $true )
| ( $true
= ( in @ X4 @ ( setminus @ X3 @ X5 ) ) ) ),
inference(cnf_transformation,[],[f1575]) ).
thf(f2600,plain,
setminusILneg = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2663,plain,
binintersectER = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2666,plain,
( $true
= ( in @ sK456 @ sK453 ) ),
inference(cnf_transformation,[],[f1598]) ).
thf(f2667,plain,
( $true
= ( in @ sK456 @ ( binunion @ ( setminus @ sK453 @ sK454 ) @ ( setminus @ sK453 @ sK455 ) ) ) ),
inference(cnf_transformation,[],[f1598]) ).
thf(f2668,plain,
( $true
!= ( in @ sK456 @ ( setminus @ sK453 @ ( binintersect @ sK454 @ sK455 ) ) ) ),
inference(cnf_transformation,[],[f1598]) ).
thf(f2703,plain,
setminusER = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2750,plain,
binintersectEL = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2754,plain,
inComplementUnionImpNotIn1 = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2760,plain,
setminusERneg = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2829,plain,
binunionEcases = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f2858,plain,
bs114d = $true,
inference(cnf_transformation,[],[f1598]) ).
thf(f3013,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( setminusER != $true )
| ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f1718]) ).
thf(f3188,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X4 @ X3 ) ) )
| ( binintersectEL != $true ) ),
inference(cnf_transformation,[],[f1830]) ).
thf(f3207,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( bs114d != $true )
| ( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) ) ),
inference(cnf_transformation,[],[f1842]) ).
thf(f3270,plain,
! [X6: $o,X7: $i,X4: $i,X5: $i] :
( ( binunionEcases != $true )
| ( $true
= ( in @ X7 @ X5 ) )
| ( $true
!= ( in @ X7 @ ( binunion @ X5 @ X4 ) ) )
| ( $true
= ( in @ X7 @ X4 ) )
| ( $true = X6 ) ),
inference(cnf_transformation,[],[f1890]) ).
thf(f3920,definition,
( spl857_62
<=> ( binintersectER = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_62])],[avatar_definition]) ).
thf(f4467,definition,
( spl857_185
<=> ( setminusER = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_185])],[avatar_definition]) ).
thf(f4495,definition,
( spl857_191
<=> ( binintersectEL = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_191])],[avatar_definition]) ).
thf(f4499,definition,
( spl857_192
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X4 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_192])],[avatar_definition]) ).
thf(f4500,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X4 @ X3 ) ) )
| ( $true
= ( in @ X5 @ X4 ) ) )
| ~ spl857_192 ),
inference(avatar_component_clause,[],[f4499]) ).
thf(f4501,plain,
( ~ spl857_191
| spl857_192 ),
inference(avatar_split_clause,[],[f3188,f4499,f4495]) ).
thf(f4602,definition,
( spl857_215
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( ( in @ X5 @ X3 )
= $true )
| ( $true
!= ( in @ X5 @ ( binunion @ X4 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_215])],[avatar_definition]) ).
thf(f4603,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binunion @ X4 @ X3 ) ) )
| ( ( in @ X5 @ X3 )
= $true )
| ( $true
= ( in @ X5 @ X4 ) ) )
| ~ spl857_215 ),
inference(avatar_component_clause,[],[f4602]) ).
thf(f4606,definition,
( spl857_216
<=> ! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
| ( ( in @ X3 @ X1 )
!= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl857_216])],[avatar_definition]) ).
thf(f4607,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
| ( ( in @ X3 @ X0 )
!= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ~ spl857_216 ),
inference(avatar_component_clause,[],[f4606]) ).
thf(f4609,definition,
( spl857_217
<=> ( inComplementUnionImpNotIn1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_217])],[avatar_definition]) ).
thf(f4612,plain,
( spl857_216
| ~ spl857_217 ),
inference(avatar_split_clause,[],[f2562,f4609,f4606]) ).
thf(f4636,definition,
( spl857_223
<=> ( $true
= ( in @ sK456 @ sK453 ) ) ),
introduced(definition,[new_symbols(definition,[spl857_223])],[avatar_definition]) ).
thf(f4638,plain,
( ( $true
= ( in @ sK456 @ sK453 ) )
| ~ spl857_223 ),
inference(avatar_component_clause,[],[f4636]) ).
thf(f4639,plain,
spl857_223,
inference(avatar_split_clause,[],[f2666,f4636]) ).
thf(f4912,definition,
( spl857_285
<=> ! [X4: $o] : ( $true = X4 ) ),
introduced(definition,[new_symbols(definition,[spl857_285])],[avatar_definition]) ).
thf(f4913,plain,
( ! [X4: $o] : ( $true = X4 )
| ~ spl857_285 ),
inference(avatar_component_clause,[],[f4912]) ).
thf(f5049,definition,
( spl857_315
<=> ( binunionEcases = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_315])],[avatar_definition]) ).
thf(f5052,plain,
( spl857_215
| ~ spl857_315
| spl857_285 ),
inference(avatar_split_clause,[],[f3270,f4912,f5049,f4602]) ).
thf(f5273,definition,
( spl857_365
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
| ( $true
= ( in @ X1 @ ( setminus @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl857_365])],[avatar_definition]) ).
thf(f5274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( setminus @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X1 @ X2 )
= $true ) )
| ~ spl857_365 ),
inference(avatar_component_clause,[],[f5273]) ).
thf(f6099,plain,
spl857_185,
inference(avatar_split_clause,[],[f2703,f4467]) ).
thf(f6106,definition,
( spl857_549
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
!= ( in @ X4 @ ( binintersect @ X3 @ X5 ) ) )
| ( ( in @ X4 @ X5 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl857_549])],[avatar_definition]) ).
thf(f6107,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( binintersect @ X3 @ X5 ) ) )
| ( ( in @ X4 @ X5 )
= $true ) )
| ~ spl857_549 ),
inference(avatar_component_clause,[],[f6106]) ).
thf(f6108,plain,
( spl857_549
| ~ spl857_62 ),
inference(avatar_split_clause,[],[f2087,f3920,f6106]) ).
thf(f6155,definition,
( spl857_559
<=> ( bs114d = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_559])],[avatar_definition]) ).
thf(f6490,plain,
spl857_217,
inference(avatar_split_clause,[],[f2754,f4609]) ).
thf(f6565,plain,
spl857_191,
inference(avatar_split_clause,[],[f2750,f4495]) ).
thf(f6581,definition,
( spl857_649
<=> ( $true
= ( in @ sK456 @ ( setminus @ sK453 @ ( binintersect @ sK454 @ sK455 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_649])],[avatar_definition]) ).
thf(f6583,plain,
( ( $true
!= ( in @ sK456 @ ( setminus @ sK453 @ ( binintersect @ sK454 @ sK455 ) ) ) )
| spl857_649 ),
inference(avatar_component_clause,[],[f6581]) ).
thf(f6584,plain,
~ spl857_649,
inference(avatar_split_clause,[],[f2668,f6581]) ).
thf(f6679,definition,
( spl857_670
<=> ( setminusILneg = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_670])],[avatar_definition]) ).
thf(f6682,plain,
spl857_670,
inference(avatar_split_clause,[],[f2600,f6679]) ).
thf(f7509,plain,
spl857_315,
inference(avatar_split_clause,[],[f2829,f5049]) ).
thf(f7556,plain,
spl857_62,
inference(avatar_split_clause,[],[f2663,f3920]) ).
thf(f7897,plain,
spl857_559,
inference(avatar_split_clause,[],[f2858,f6155]) ).
thf(f7948,definition,
( spl857_934
<=> ( setminusERneg = $true ) ),
introduced(definition,[new_symbols(definition,[spl857_934])],[avatar_definition]) ).
thf(f7963,definition,
( spl857_937
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_937])],[avatar_definition]) ).
thf(f7964,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ~ spl857_937 ),
inference(avatar_component_clause,[],[f7963]) ).
thf(f7965,plain,
( ~ spl857_185
| spl857_937 ),
inference(avatar_split_clause,[],[f3013,f7963,f4467]) ).
thf(f9101,definition,
( spl857_1167
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X5 @ X4 ) ) )
| ( ( in @ X3 @ X5 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1167])],[avatar_definition]) ).
thf(f9102,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X5 @ X4 ) ) )
| ( ( in @ X3 @ X5 )
= $true ) )
| ~ spl857_1167 ),
inference(avatar_component_clause,[],[f9101]) ).
thf(f9366,definition,
( spl857_1222
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1222])],[avatar_definition]) ).
thf(f9367,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
| ~ spl857_1222 ),
inference(avatar_component_clause,[],[f9366]) ).
thf(f9368,plain,
( spl857_1222
| ~ spl857_559 ),
inference(avatar_split_clause,[],[f3207,f6155,f9366]) ).
thf(f9597,plain,
( ~ spl857_934
| spl857_365 ),
inference(avatar_split_clause,[],[f2563,f5273,f7948]) ).
thf(f9755,definition,
( spl857_1298
<=> ( $true
= ( in @ sK456 @ ( binunion @ ( setminus @ sK453 @ sK454 ) @ ( setminus @ sK453 @ sK455 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1298])],[avatar_definition]) ).
thf(f9757,plain,
( ( $true
= ( in @ sK456 @ ( binunion @ ( setminus @ sK453 @ sK454 ) @ ( setminus @ sK453 @ sK455 ) ) ) )
| ~ spl857_1298 ),
inference(avatar_component_clause,[],[f9755]) ).
thf(f9758,plain,
spl857_1298,
inference(avatar_split_clause,[],[f2667,f9755]) ).
thf(f9967,plain,
spl857_934,
inference(avatar_split_clause,[],[f2760,f7948]) ).
thf(f9976,plain,
( spl857_1167
| ~ spl857_670 ),
inference(avatar_split_clause,[],[f1987,f6679,f9101]) ).
thf(f10537,definition,
( spl857_1381
<=> ( $true
= ( in @ sK456 @ ( setminus @ sK453 @ sK455 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1381])],[avatar_definition]) ).
thf(f10538,plain,
( ( $true
= ( in @ sK456 @ ( setminus @ sK453 @ sK455 ) ) )
| ~ spl857_1381 ),
inference(avatar_component_clause,[],[f10537]) ).
thf(f10607,definition,
( spl857_1387
<=> ( ( in @ sK456 @ ( setminus @ sK453 @ sK454 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl857_1387])],[avatar_definition]) ).
thf(f10608,plain,
( ( ( in @ sK456 @ ( setminus @ sK453 @ sK454 ) )
= $true )
| ~ spl857_1387 ),
inference(avatar_component_clause,[],[f10607]) ).
thf(f12091,plain,
( ( $true
= ( in @ sK456 @ ( setminus @ sK453 @ sK455 ) ) )
| ( ( in @ sK456 @ ( setminus @ sK453 @ sK454 ) )
= $true )
| ( $true != $true )
| ~ spl857_215
| ~ spl857_1298 ),
inference(superposition,[],[f4603,f9757]) ).
thf(f12101,plain,
( ( $true
= ( in @ sK456 @ ( setminus @ sK453 @ sK455 ) ) )
| ( ( in @ sK456 @ ( setminus @ sK453 @ sK454 ) )
= $true )
| ~ spl857_215
| ~ spl857_1298 ),
inference(trivial_inequality_removal,[],[f12091]) ).
thf(f12223,plain,
( ( $true
!= ( in @ sK456 @ sK453 ) )
| ( $true
= ( in @ sK456 @ ( binintersect @ sK454 @ sK455 ) ) )
| ( $true != $true )
| ~ spl857_365
| spl857_649 ),
inference(superposition,[],[f6583,f5274]) ).
thf(f12227,plain,
( ( $true
!= ( in @ sK456 @ sK453 ) )
| ( $true
= ( in @ sK456 @ ( binintersect @ sK454 @ sK455 ) ) )
| ~ spl857_365
| spl857_649 ),
inference(trivial_inequality_removal,[],[f12223]) ).
thf(f12243,plain,
( ( $true
= ( in @ sK456 @ ( binintersect @ sK454 @ sK455 ) ) )
| ~ spl857_223
| ~ spl857_365
| spl857_649 ),
inference(forward_subsumption_resolution,[],[f12227,f4638]) ).
thf(f12246,definition,
( spl857_1427
<=> ( $true
= ( in @ sK456 @ sK454 ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1427])],[avatar_definition]) ).
thf(f12251,definition,
( spl857_1428
<=> ( $true
= ( in @ sK456 @ ( binintersect @ sK454 @ sK455 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1428])],[avatar_definition]) ).
thf(f12253,plain,
( ( $true
= ( in @ sK456 @ ( binintersect @ sK454 @ sK455 ) ) )
| ~ spl857_1428 ),
inference(avatar_component_clause,[],[f12251]) ).
thf(f12254,plain,
( spl857_1428
| ~ spl857_223
| ~ spl857_365
| spl857_649 ),
inference(avatar_split_clause,[],[f12243,f6581,f5273,f4636,f12251]) ).
thf(f12255,plain,
( spl857_1381
| spl857_1387
| ~ spl857_215
| ~ spl857_1298 ),
inference(avatar_split_clause,[],[f12101,f9755,f4602,f10607,f10537]) ).
thf(f12259,plain,
( ( $true
!= ( in @ sK456 @ sK455 ) )
| ( $true != $true )
| ~ spl857_937
| ~ spl857_1381 ),
inference(superposition,[],[f7964,f10538]) ).
thf(f12267,plain,
( ( $true
!= ( in @ sK456 @ sK455 ) )
| ~ spl857_937
| ~ spl857_1381 ),
inference(trivial_inequality_removal,[],[f12259]) ).
thf(f12285,definition,
( spl857_1432
<=> ( $true
= ( in @ sK456 @ sK455 ) ) ),
introduced(definition,[new_symbols(definition,[spl857_1432])],[avatar_definition]) ).
thf(f12288,plain,
( ~ spl857_1432
| ~ spl857_937
| ~ spl857_1381 ),
inference(avatar_split_clause,[],[f12267,f10537,f7963,f12285]) ).
thf(f12356,plain,
( ( $true
!= ( in @ sK456 @ sK454 ) )
| ( $true != $true )
| ~ spl857_937
| ~ spl857_1387 ),
inference(superposition,[],[f7964,f10608]) ).
thf(f12363,plain,
( ( $true
!= ( in @ sK456 @ sK454 ) )
| ~ spl857_937
| ~ spl857_1387 ),
inference(trivial_inequality_removal,[],[f12356]) ).
thf(f12380,plain,
( ~ spl857_1427
| ~ spl857_937
| ~ spl857_1387 ),
inference(avatar_split_clause,[],[f12363,f10607,f7963,f12246]) ).
thf(f12921,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( in @ X3 @ ( binintersect @ X0 @ X1 ) ) )
| ( ( in @ X3 @ ( setminus @ X4 @ ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
!= $true )
| ( ( in @ ( binintersect @ X0 @ X1 ) @ ( powerset @ X4 ) )
!= $true )
| ( $true
!= ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X4 ) ) )
| ( $true
!= ( in @ X3 @ X4 ) ) )
| ~ spl857_216
| ~ spl857_1222 ),
inference(superposition,[],[f4607,f9367]) ).
thf(f12926,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( in @ ( binintersect @ X0 @ X1 ) @ ( powerset @ X4 ) )
!= $true )
| ( $true
!= ( in @ X3 @ ( binintersect @ X0 @ X1 ) ) )
| ( ( in @ X3 @ ( setminus @ X4 @ ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
!= $true )
| ( $true
!= ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X4 ) ) ) )
| ~ spl857_216
| ~ spl857_1167
| ~ spl857_1222 ),
inference(forward_subsumption_resolution,[],[f12921,f9102]) ).
thf(f12931,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X4 ) ) )
| ( ( in @ X3 @ ( setminus @ X4 @ ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
!= $true )
| ( ( in @ ( binintersect @ X0 @ X1 ) @ ( powerset @ X4 ) )
!= $true ) )
| ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(forward_subsumption_resolution,[],[f12926,f4913]) ).
thf(f12932,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X4 ) ) )
| ( ( in @ X3 @ ( setminus @ X4 @ ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
!= $true ) )
| ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(forward_subsumption_resolution,[],[f12931,f4913]) ).
thf(f12933,plain,
( ! [X2: $i,X0: $i,X4: $i] :
( $true
!= ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X4 ) ) )
| ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(forward_subsumption_resolution,[],[f12932,f4913]) ).
thf(f12934,plain,
( $false
| ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(forward_subsumption_resolution,[],[f12933,f4913]) ).
thf(f12935,plain,
( ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(avatar_contradiction_clause,[],[f12934]) ).
thf(f13151,plain,
( ( $true != $true )
| ( $true
= ( in @ sK456 @ sK455 ) )
| ~ spl857_549
| ~ spl857_1428 ),
inference(superposition,[],[f6107,f12253]) ).
thf(f13152,plain,
( ( $true != $true )
| ( $true
= ( in @ sK456 @ sK454 ) )
| ~ spl857_192
| ~ spl857_1428 ),
inference(superposition,[],[f4500,f12253]) ).
thf(f13158,plain,
( ( $true
= ( in @ sK456 @ sK455 ) )
| ~ spl857_549
| ~ spl857_1428 ),
inference(trivial_inequality_removal,[],[f13151]) ).
thf(f13160,plain,
( ( $true
= ( in @ sK456 @ sK454 ) )
| ~ spl857_192
| ~ spl857_1428 ),
inference(trivial_inequality_removal,[],[f13152]) ).
thf(f13171,plain,
( spl857_1432
| ~ spl857_549
| ~ spl857_1428 ),
inference(avatar_split_clause,[],[f13158,f12251,f6106,f12285]) ).
thf(f13181,plain,
( spl857_1427
| ~ spl857_192
| ~ spl857_1428 ),
inference(avatar_split_clause,[],[f13160,f12251,f4499,f12246]) ).
cnf(s122,plain,
( ~ spl857_191
| spl857_192 ),
inference(sat_conversion,[],[f4501]) ).
cnf(s137,plain,
( spl857_216
| ~ spl857_217 ),
inference(sat_conversion,[],[f4612]) ).
cnf(s140,plain,
spl857_223,
inference(sat_conversion,[],[f4639]) ).
cnf(s207,plain,
( spl857_215
| spl857_285
| ~ spl857_315 ),
inference(sat_conversion,[],[f5052]) ).
cnf(s403,plain,
spl857_185,
inference(sat_conversion,[],[f6099]) ).
cnf(s405,plain,
( ~ spl857_62
| spl857_549 ),
inference(sat_conversion,[],[f6108]) ).
cnf(s486,plain,
spl857_217,
inference(sat_conversion,[],[f6490]) ).
cnf(s501,plain,
spl857_191,
inference(sat_conversion,[],[f6565]) ).
cnf(s505,plain,
~ spl857_649,
inference(sat_conversion,[],[f6584]) ).
cnf(s528,plain,
spl857_670,
inference(sat_conversion,[],[f6682]) ).
cnf(s721,plain,
spl857_315,
inference(sat_conversion,[],[f7509]) ).
cnf(s734,plain,
spl857_62,
inference(sat_conversion,[],[f7556]) ).
cnf(s819,plain,
spl857_559,
inference(sat_conversion,[],[f7897]) ).
cnf(s835,plain,
( ~ spl857_185
| spl857_937 ),
inference(sat_conversion,[],[f7965]) ).
cnf(s1196,plain,
( ~ spl857_559
| spl857_1222 ),
inference(sat_conversion,[],[f9368]) ).
cnf(s1260,plain,
( spl857_365
| ~ spl857_934 ),
inference(sat_conversion,[],[f9597]) ).
cnf(s1307,plain,
spl857_1298,
inference(sat_conversion,[],[f9758]) ).
cnf(s1360,plain,
spl857_934,
inference(sat_conversion,[],[f9967]) ).
cnf(s1363,plain,
( ~ spl857_670
| spl857_1167 ),
inference(sat_conversion,[],[f9976]) ).
cnf(s1460,plain,
( ~ spl857_223
| ~ spl857_365
| spl857_649
| spl857_1428 ),
inference(sat_conversion,[],[f12254]) ).
cnf(s1461,plain,
( ~ spl857_215
| ~ spl857_1298
| spl857_1381
| spl857_1387 ),
inference(sat_conversion,[],[f12255]) ).
cnf(s1464,plain,
( ~ spl857_937
| ~ spl857_1381
| ~ spl857_1432 ),
inference(sat_conversion,[],[f12288]) ).
cnf(s1468,plain,
( ~ spl857_937
| ~ spl857_1387
| ~ spl857_1427 ),
inference(sat_conversion,[],[f12380]) ).
cnf(s1485,plain,
( ~ spl857_216
| ~ spl857_285
| ~ spl857_1167
| ~ spl857_1222 ),
inference(sat_conversion,[],[f12935]) ).
cnf(s1491,plain,
( ~ spl857_549
| ~ spl857_1428
| spl857_1432 ),
inference(sat_conversion,[],[f13171]) ).
cnf(s1493,plain,
( ~ spl857_192
| spl857_1427
| ~ spl857_1428 ),
inference(sat_conversion,[],[f13181]) ).
cnf(s1499,plain,
spl857_365,
inference(rat,[],[s1260,s1360]) ).
cnf(s1554,plain,
spl857_1222,
inference(rat,[],[s1196,s819]) ).
cnf(s1634,plain,
spl857_1167,
inference(rat,[],[s1363,s528]) ).
cnf(s1682,plain,
spl857_549,
inference(rat,[],[s405,s734]) ).
cnf(s1683,plain,
spl857_937,
inference(rat,[],[s835,s403]) ).
cnf(s1765,plain,
( spl857_215
| spl857_285 ),
inference(rat,[],[s207,s721]) ).
cnf(s1785,plain,
spl857_1428,
inference(rat,[],[s1460,s505,s1499,s140]) ).
cnf(s1788,plain,
spl857_1432,
inference(rat,[],[s1491,s1682,s1785]) ).
cnf(s1791,plain,
~ spl857_1381,
inference(rat,[],[s1464,s1683,s1788]) ).
cnf(s1792,plain,
spl857_216,
inference(rat,[],[s137,s486]) ).
cnf(s1793,plain,
~ spl857_285,
inference(rat,[],[s1485,s1554,s1634,s1792]) ).
cnf(s1794,plain,
spl857_215,
inference(rat,[],[s1765,s1793]) ).
cnf(s1795,plain,
spl857_1387,
inference(rat,[],[s1461,s1791,s1307,s1794]) ).
cnf(s1796,plain,
~ spl857_1427,
inference(rat,[],[s1468,s1683,s1795]) ).
cnf(s1799,plain,
~ spl857_192,
inference(rat,[],[s1493,s1785,s1796]) ).
cnf(s1805,plain,
$false,
inference(rat,[],[s122,s1799,s501]) ).
thf(f13182,plain,
$false,
inference(avatar_sat_refutation,[],[s1805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU752^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 14:27:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.41 % (1319691)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.41 % (1319702)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.41 % (1319702)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
% 0.75/0.41 % (1319702)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=3651513061:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.41 % (1319697)lrs+10_16_si=on:nwc=1.5:random_seed=3635808422:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.41 % (1319696)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=923162946:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.41 % (1319698)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2878682032:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.41 % (1319700)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1348148069:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.41 % (1319699)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=1506692768: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)
% 0.75/0.41 % (1319701)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=714627151:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.41 % (1319698)Instruction limit reached!
% 0.75/0.41 % (1319698)------------------------------
% 0.75/0.41 % (1319698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (1319698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (1319698)CaDiCaL version: 2.1.3
% 0.75/0.41 % (1319698)Termination reason: Instruction limit
% 0.75/0.41 % (1319698)Termination phase: shuffling
% 0.75/0.41 % (1319698)Time elapsed: 0.002 s
% 0.75/0.41 % (1319698)Peak memory usage: 10 MB
% 0.75/0.41 % (1319698)Instructions burned: 3 (million)
% 0.75/0.41 % (1319697)Instruction limit reached!
% 0.75/0.41 % (1319697)------------------------------
% 0.75/0.41 % (1319697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (1319697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (1319697)CaDiCaL version: 2.1.3
% 0.75/0.41 % (1319697)Termination reason: Instruction limit
% 0.75/0.41 % (1319697)Termination phase: shuffling
% 0.75/0.41 % (1319697)Time elapsed: 0.009 s
% 0.75/0.41 % (1319697)Peak memory usage: 10 MB
% 0.75/0.41 % (1319697)Instructions burned: 19 (million)
% 0.75/0.41 % (1319700)Instruction limit reached!
% 0.75/0.41 % (1319700)------------------------------
% 0.75/0.41 % (1319700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (1319700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (1319700)CaDiCaL version: 2.1.3
% 0.75/0.41 % (1319700)Termination reason: Instruction limit
% 0.75/0.41 % (1319700)Termination phase: shuffling
% 0.75/0.41 % (1319700)Time elapsed: 0.011 s
% 0.75/0.41 % (1319700)Peak memory usage: 10 MB
% 0.75/0.41 % (1319700)Instructions burned: 24 (million)
% 0.75/0.41 % (1319710)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3729292066:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.41 % (1319710)Instruction limit reached!
% 0.75/0.41 % (1319710)------------------------------
% 0.75/0.41 % (1319710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (1319710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (1319710)CaDiCaL version: 2.1.3
% 0.75/0.41 % (1319710)Termination reason: Instruction limit
% 0.75/0.41 % (1319710)Termination phase: shuffling
% 0.75/0.41 % (1319710)Time elapsed: 0.003 s
% 0.75/0.41 % (1319710)Peak memory usage: 10 MB
% 0.75/0.41 % (1319710)Instructions burned: 6 (million)
% 0.75/0.41 % (1319712)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.45 % (1319702)Instruction limit reached!
% 0.75/0.45 % (1319702)------------------------------
% 0.75/0.45 % (1319702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (1319702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (1319702)CaDiCaL version: 2.1.3
% 0.75/0.45 % (1319702)Termination reason: Instruction limit
% 0.75/0.45 % (1319702)Termination phase: Property scanning
% 0.75/0.45 % (1319711)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=157335012:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.75/0.45 % (1319702)Time elapsed: 0.035 s
% 0.75/0.45 % (1319702)Peak memory usage: 13 MB
% 0.75/0.45 % (1319702)Instructions burned: 157 (million)
% 0.75/0.45 % (1319712)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3540816143:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.75/0.45 % (1319711)Instruction limit reached!
% 0.75/0.45 % (1319711)------------------------------
% 0.75/0.45 % (1319711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (1319711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (1319711)CaDiCaL version: 2.1.3
% 0.75/0.45 % (1319711)Termination reason: Instruction limit
% 0.75/0.45 % (1319711)Termination phase: shuffling
% 0.75/0.45 % (1319711)Time elapsed: 0.003 s
% 0.75/0.45 % (1319711)Peak memory usage: 10 MB
% 0.75/0.45 % (1319711)Instructions burned: 6 (million)
% 0.75/0.45 % (1319701)Instruction limit reached!
% 0.75/0.45 % (1319701)------------------------------
% 0.75/0.45 % (1319701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (1319701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (1319701)CaDiCaL version: 2.1.3
% 0.75/0.45 % (1319701)Termination reason: Instruction limit
% 0.75/0.45 % (1319701)Termination phase: Preprocessing 3
% 0.75/0.45 % (1319701)Time elapsed: 0.035 s
% 0.75/0.45 % (1319701)Peak memory usage: 12 MB
% 0.75/0.45 % (1319701)Instructions burned: 76 (million)
% 0.75/0.45 % (1319712)Instruction limit reached!
% 0.75/0.45 % (1319712)------------------------------
% 0.75/0.45 % (1319712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (1319712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (1319712)CaDiCaL version: 2.1.3
% 0.75/0.45 % (1319712)Termination reason: Instruction limit
% 0.75/0.45 % (1319712)Termination phase: shuffling
% 0.75/0.45 % (1319712)Time elapsed: 0.004 s
% 0.75/0.45 % (1319712)Peak memory usage: 10 MB
% 0.75/0.45 % (1319712)Instructions burned: 8 (million)
% 0.75/0.45 % (1319716)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
% 0.75/0.45 % (1319716)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.45 % (1319716)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3185834652:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.75/0.45 % (1319714)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=905226098:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.75/0.45 % (1319716)Instruction limit reached!
% 0.75/0.45 % (1319716)------------------------------
% 0.75/0.45 % (1319716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (1319716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (1319716)CaDiCaL version: 2.1.3
% 0.75/0.45 % (1319716)Termination reason: Instruction limit
% 0.75/0.45 % (1319716)Termination phase: shuffling
% 0.75/0.45 % (1319716)Time elapsed: 0.007 s
% 0.75/0.45 % (1319716)Peak memory usage: 10 MB
% 0.75/0.45 % (1319716)Instructions burned: 29 (million)
% 0.75/0.45 % (1319718)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=1199659875:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.75/0.45 % (1319720)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.75/0.48 % (1319714)Instruction limit reached!
% 0.75/0.48 % (1319714)------------------------------
% 0.75/0.48 % (1319714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.48 % (1319714)CaDiCaL version: 2.1.3
% 0.75/0.48 % (1319714)Termination reason: Instruction limit
% 0.75/0.48 % (1319714)Termination phase: shuffling
% 0.75/0.48 % (1319714)Time elapsed: 0.006 s
% 0.75/0.48 % (1319714)Peak memory usage: 10 MB
% 0.75/0.48 % (1319714)Instructions burned: 12 (million)
% 0.75/0.48 % (1319719)lrs+10_1_si=on:cs=on:random_seed=4143416942:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.75/0.48 % (1319720)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=3922751551:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.48 % (1319723)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=805455086:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.75/0.48 % (1319720)Instruction limit reached!
% 0.75/0.48 % (1319720)------------------------------
% 0.75/0.48 % (1319720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.48 % (1319720)CaDiCaL version: 2.1.3
% 0.75/0.48 % (1319720)Termination reason: Instruction limit
% 0.75/0.48 % (1319720)Termination phase: shuffling
% 0.75/0.48 % (1319720)Time elapsed: 0.002 s
% 0.75/0.48 % (1319720)Peak memory usage: 10 MB
% 0.75/0.48 % (1319720)Instructions burned: 4 (million)
% 0.75/0.48 % (1319719)Instruction limit reached!
% 0.75/0.48 % (1319719)------------------------------
% 0.75/0.48 % (1319719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.48 % (1319719)CaDiCaL version: 2.1.3
% 0.75/0.48 % (1319719)Termination reason: Instruction limit
% 0.75/0.48 % (1319719)Termination phase: shuffling
% 0.75/0.48 % (1319719)Time elapsed: 0.004 s
% 0.75/0.48 % (1319719)Peak memory usage: 10 MB
% 0.75/0.48 % (1319719)Instructions burned: 9 (million)
% 0.75/0.48 % (1319723)Instruction limit reached!
% 0.75/0.48 % (1319723)------------------------------
% 0.75/0.48 % (1319723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.48 % (1319723)CaDiCaL version: 2.1.3
% 0.75/0.48 % (1319723)Termination reason: Instruction limit
% 0.75/0.48 % (1319723)Termination phase: SInE selection
% 0.75/0.48 % (1319723)Time elapsed: 0.010 s
% 0.75/0.48 % (1319723)Peak memory usage: 11 MB
% 0.75/0.48 % (1319723)Instructions burned: 43 (million)
% 0.75/0.48 % (1319725)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1767240946:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.75/0.48 % (1319696)Instruction limit reached!
% 0.75/0.48 % (1319696)------------------------------
% 0.75/0.48 % (1319696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.48 % (1319696)CaDiCaL version: 2.1.3
% 0.75/0.48 % (1319696)Termination reason: Instruction limit
% 0.75/0.48 % (1319696)Termination phase: Preprocessing 3
% 0.75/0.48 % (1319696)Time elapsed: 0.077 s
% 0.75/0.48 % (1319696)Peak memory usage: 12 MB
% 0.75/0.48 % (1319696)Instructions burned: 87 (million)
% 0.75/0.48 % (1319729)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2457683528:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.75/0.48 % (1319731)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2515869822:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.75/0.48 % (1319730)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2383459305:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.75/0.48 % (1319730)Instruction limit reached!
% 0.75/0.48 % (1319730)------------------------------
% 0.75/0.48 % (1319730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.48 % (1319730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319730)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319730)Termination reason: Instruction limit
% 1.51/0.53 % (1319730)Termination phase: shuffling
% 1.51/0.53 % (1319730)Time elapsed: 0.007 s
% 1.51/0.53 % (1319730)Peak memory usage: 10 MB
% 1.51/0.53 % (1319730)Instructions burned: 15 (million)
% 1.51/0.53 % (1319718)Instruction limit reached!
% 1.51/0.53 % (1319718)------------------------------
% 1.51/0.53 % (1319718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319718)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319718)Termination reason: Instruction limit
% 1.51/0.53 % (1319718)Termination phase: Property scanning
% 1.51/0.53 % (1319718)Time elapsed: 0.036 s
% 1.51/0.53 % (1319718)Peak memory usage: 11 MB
% 1.51/0.53 % (1319718)Instructions burned: 87 (million)
% 1.51/0.53 % (1319729)Instruction limit reached!
% 1.51/0.53 % (1319729)------------------------------
% 1.51/0.53 % (1319729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319729)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319729)Termination reason: Instruction limit
% 1.51/0.53 % (1319729)Termination phase: shuffling
% 1.51/0.53 % (1319729)Time elapsed: 0.012 s
% 1.51/0.53 % (1319729)Peak memory usage: 10 MB
% 1.51/0.53 % (1319729)Instructions burned: 27 (million)
% 1.51/0.53 % (1319733)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=173712050:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.53 % (1319733)Instruction limit reached!
% 1.51/0.53 % (1319733)------------------------------
% 1.51/0.53 % (1319733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319733)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319733)Termination reason: Instruction limit
% 1.51/0.53 % (1319733)Termination phase: shuffling
% 1.51/0.53 % (1319733)Time elapsed: 0.007 s
% 1.51/0.53 % (1319733)Peak memory usage: 11 MB
% 1.51/0.53 % (1319733)Instructions burned: 15 (million)
% 1.51/0.53 % (1319737)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=816744012: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)
% 1.51/0.53 % (1319738)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2289564401:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.51/0.53 % (1319737)Instruction limit reached!
% 1.51/0.53 % (1319737)------------------------------
% 1.51/0.53 % (1319737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319737)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319737)Termination reason: Instruction limit
% 1.51/0.53 % (1319737)Termination phase: shuffling
% 1.51/0.53 % (1319737)Time elapsed: 0.002 s
% 1.51/0.53 % (1319737)Peak memory usage: 10 MB
% 1.51/0.53 % (1319737)Instructions burned: 4 (million)
% 1.51/0.53 % (1319739)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1911353542:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.51/0.53 % (1319738)Instruction limit reached!
% 1.51/0.53 % (1319738)------------------------------
% 1.51/0.53 % (1319738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319738)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319738)Termination reason: Instruction limit
% 1.51/0.53 % (1319738)Termination phase: shuffling
% 1.51/0.53 % (1319738)Time elapsed: 0.012 s
% 1.51/0.53 % (1319738)Peak memory usage: 11 MB
% 1.51/0.53 % (1319738)Instructions burned: 28 (million)
% 1.51/0.53 % (1319739)Instruction limit reached!
% 1.51/0.53 % (1319739)------------------------------
% 1.51/0.53 % (1319739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1319739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1319739)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1319739)Termination reason: Instruction limit
% 1.51/0.53 % (1319739)Termination phase: shuffling
% 1.51/0.53 % (1319739)Time elapsed: 0.011 s
% 1.51/0.53 % (1319739)Peak memory usage: 10 MB
% 1.51/0.53 % (1319739)Instructions burned: 24 (million)
% 2.04/0.61 % (1319741)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3889758842:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.61 % (1319744)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.04/0.61 % (1319744)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.61 % (1319744)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=509744009:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.61 % (1319746)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.61 % (1319744)Instruction limit reached!
% 2.04/0.61 % (1319744)------------------------------
% 2.04/0.61 % (1319744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (1319744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (1319744)CaDiCaL version: 2.1.3
% 2.04/0.61 % (1319744)Termination reason: Instruction limit
% 2.04/0.61 % (1319744)Termination phase: shuffling
% 2.04/0.61 % (1319744)Time elapsed: 0.007 s
% 2.04/0.61 % (1319744)Peak memory usage: 10 MB
% 2.04/0.61 % (1319744)Instructions burned: 16 (million)
% 2.04/0.61 % (1319746)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=3301969482:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.61 % (1319747)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=1329945178:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.04/0.61 % (1319746)Instruction limit reached!
% 2.04/0.61 % (1319746)------------------------------
% 2.04/0.61 % (1319746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (1319746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (1319746)CaDiCaL version: 2.1.3
% 2.04/0.61 % (1319746)Termination reason: Instruction limit
% 2.04/0.61 % (1319746)Termination phase: shuffling
% 2.04/0.61 % (1319746)Time elapsed: 0.004 s
% 2.04/0.61 % (1319746)Peak memory usage: 10 MB
% 2.04/0.61 % (1319746)Instructions burned: 9 (million)
% 2.04/0.61 % (1319747)Instruction limit reached!
% 2.04/0.61 % (1319747)------------------------------
% 2.04/0.61 % (1319747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (1319747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (1319747)CaDiCaL version: 2.1.3
% 2.04/0.61 % (1319747)Termination reason: Instruction limit
% 2.04/0.61 % (1319747)Termination phase: shuffling
% 2.04/0.61 % (1319747)Time elapsed: 0.014 s
% 2.04/0.61 % (1319747)Peak memory usage: 11 MB
% 2.04/0.61 % (1319747)Instructions burned: 33 (million)
% 2.04/0.61 % (1319750)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3318690497:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.04/0.61 % (1319731)Instruction limit reached!
% 2.04/0.61 % (1319731)------------------------------
% 2.04/0.61 % (1319731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (1319731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (1319731)CaDiCaL version: 2.1.3
% 2.04/0.61 % (1319731)Termination reason: Instruction limit
% 2.04/0.61 % (1319731)Termination phase: Saturation
% 2.04/0.61 % (1319731)Time elapsed: 0.078 s
% 2.04/0.61 % (1319731)Peak memory usage: 16 MB
% 2.04/0.61 % (1319731)Instructions burned: 328 (million)
% 2.04/0.61 % (1319750)Instruction limit reached!
% 2.04/0.61 % (1319750)------------------------------
% 2.04/0.61 % (1319750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (1319750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (1319750)CaDiCaL version: 2.1.3
% 2.04/0.61 % (1319750)Termination reason: Instruction limit
% 2.04/0.61 % (1319750)Termination phase: shuffling
% 2.04/0.61 % (1319750)Time elapsed: 0.004 s
% 2.04/0.61 % (1319750)Peak memory usage: 10 MB
% 2.04/0.61 % (1319750)Instructions burned: 7 (million)
% 2.35/0.67 % (1319741)Instruction limit reached!
% 2.35/0.67 % (1319741)------------------------------
% 2.35/0.67 % (1319741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319741)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319741)Termination reason: Instruction limit
% 2.35/0.67 % (1319741)Termination phase: Preprocessing 3
% 2.35/0.67 % (1319741)Time elapsed: 0.039 s
% 2.35/0.67 % (1319741)Peak memory usage: 12 MB
% 2.35/0.67 % (1319741)Instructions burned: 61 (million)
% 2.35/0.67 % (1319753)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1871978906:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.35/0.67 % (1319756)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2913758067:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.35/0.67 % (1319755)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=553354555:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.35/0.67 % (1319757)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2323932259:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.35/0.67 % (1319725)Instruction limit reached!
% 2.35/0.67 % (1319725)------------------------------
% 2.35/0.67 % (1319725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319725)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319725)Termination reason: Instruction limit
% 2.35/0.67 % (1319725)Termination phase: Saturation
% 2.35/0.67 % (1319725)Time elapsed: 0.107 s
% 2.35/0.67 % (1319725)Peak memory usage: 15 MB
% 2.35/0.67 % (1319725)Instructions burned: 251 (million)
% 2.35/0.67 % (1319753)Instruction limit reached!
% 2.35/0.67 % (1319753)------------------------------
% 2.35/0.67 % (1319753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319753)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319753)Termination reason: Instruction limit
% 2.35/0.67 % (1319753)Termination phase: shuffling
% 2.35/0.67 % (1319753)Time elapsed: 0.017 s
% 2.35/0.67 % (1319753)Peak memory usage: 10 MB
% 2.35/0.67 % (1319753)Instructions burned: 23 (million)
% 2.35/0.67 % (1319755)Instruction limit reached!
% 2.35/0.67 % (1319755)------------------------------
% 2.35/0.67 % (1319755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319755)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319755)Termination reason: Instruction limit
% 2.35/0.67 % (1319755)Termination phase: shuffling
% 2.35/0.67 % (1319755)Time elapsed: 0.009 s
% 2.35/0.67 % (1319755)Peak memory usage: 10 MB
% 2.35/0.67 % (1319755)Instructions burned: 20 (million)
% 2.35/0.67 % (1319759)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3347191555:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.35/0.67 % (1319764)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.35/0.67 % (1319763)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=303204503:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.35/0.67 % (1319764)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4247906999:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.35/0.67 % (1319765)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2806622467:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.35/0.67 % (1319764)Instruction limit reached!
% 2.35/0.67 % (1319764)------------------------------
% 2.35/0.67 % (1319764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319764)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319764)Termination reason: Instruction limit
% 2.35/0.67 % (1319764)Termination phase: shuffling
% 2.35/0.67 % (1319764)Time elapsed: 0.004 s
% 2.35/0.67 % (1319764)Peak memory usage: 10 MB
% 2.35/0.67 % (1319764)Instructions burned: 8 (million)
% 2.35/0.67 % (1319763)Instruction limit reached!
% 2.35/0.67 % (1319763)------------------------------
% 2.35/0.67 % (1319763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319763)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319763)Termination reason: Instruction limit
% 2.35/0.67 % (1319763)Termination phase: Property scanning
% 2.35/0.67 % (1319763)Time elapsed: 0.023 s
% 2.35/0.67 % (1319763)Peak memory usage: 11 MB
% 2.35/0.67 % (1319763)Instructions burned: 42 (million)
% 2.35/0.67 % (1319770)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=1598265728: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)
% 2.35/0.67 % (1319757)Instruction limit reached!
% 2.35/0.67 % (1319757)------------------------------
% 2.35/0.67 % (1319757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319757)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319757)Termination reason: Instruction limit
% 2.35/0.67 % (1319757)Termination phase: Property scanning
% 2.35/0.67 % (1319757)Time elapsed: 0.060 s
% 2.35/0.67 % (1319757)Peak memory usage: 13 MB
% 2.35/0.67 % (1319757)Instructions burned: 143 (million)
% 2.35/0.67 % (1319771)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.35/0.67 % (1319773)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=813617538:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.35/0.67 % (1319771)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=33434723:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.35/0.67 % (1319771)Instruction limit reached!
% 2.35/0.67 % (1319771)------------------------------
% 2.35/0.67 % (1319771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319771)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319771)Termination reason: Instruction limit
% 2.35/0.67 % (1319771)Termination phase: shuffling
% 2.35/0.67 % (1319771)Time elapsed: 0.006 s
% 2.35/0.67 % (1319771)Peak memory usage: 10 MB
% 2.35/0.67 % (1319771)Instructions burned: 7 (million)
% 2.35/0.67 % (1319759)Instruction limit reached!
% 2.35/0.67 % (1319759)------------------------------
% 2.35/0.67 % (1319759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319759)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319759)Termination reason: Instruction limit
% 2.35/0.67 % (1319759)Termination phase: Saturation
% 2.35/0.67 % (1319759)Time elapsed: 0.081 s
% 2.35/0.67 % (1319759)Peak memory usage: 13 MB
% 2.35/0.67 % (1319759)Instructions burned: 195 (million)
% 2.35/0.67 % (1319773)Instruction limit reached!
% 2.35/0.67 % (1319773)------------------------------
% 2.35/0.67 % (1319773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319773)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319773)Termination reason: Instruction limit
% 2.35/0.67 % (1319773)Termination phase: shuffling
% 2.35/0.67 % (1319773)Time elapsed: 0.010 s
% 2.35/0.67 % (1319773)Peak memory usage: 11 MB
% 2.35/0.67 % (1319773)Instructions burned: 22 (million)
% 2.35/0.67 % (1319765)Instruction limit reached!
% 2.35/0.67 % (1319765)------------------------------
% 2.35/0.67 % (1319765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319765)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319765)Termination reason: Instruction limit
% 2.35/0.67 % (1319765)Termination phase: Saturation
% 2.35/0.67 % (1319765)Time elapsed: 0.076 s
% 2.35/0.67 % (1319765)Peak memory usage: 13 MB
% 2.35/0.67 % (1319765)Instructions burned: 182 (million)
% 2.35/0.67 % (1319777)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=3815285064:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.35/0.67 % (1319778)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=3076616711:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.35/0.67 % (1319776)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2064549568:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.35/0.67 % (1319770)Instruction limit reached!
% 2.35/0.67 % (1319770)------------------------------
% 2.35/0.67 % (1319770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319770)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319770)Termination reason: Instruction limit
% 2.35/0.67 % (1319770)Termination phase: Saturation
% 2.35/0.67 % (1319770)Time elapsed: 0.071 s
% 2.35/0.67 % (1319779)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=3955436166:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.35/0.67 % (1319770)Peak memory usage: 13 MB
% 2.35/0.67 % (1319770)Instructions burned: 170 (million)
% 2.35/0.67 % (1319776)Instruction limit reached!
% 2.35/0.67 % (1319776)------------------------------
% 2.35/0.67 % (1319776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319776)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319776)Termination reason: Instruction limit
% 2.35/0.67 % (1319776)Termination phase: shuffling
% 2.35/0.67 % (1319776)Time elapsed: 0.018 s
% 2.35/0.67 % (1319776)Peak memory usage: 10 MB
% 2.35/0.67 % (1319776)Instructions burned: 20 (million)
% 2.35/0.67 % (1319699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1319691-1319699"...
% 2.35/0.67 % (1319784)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3867534492:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.35/0.67 % (1319779)Instruction limit reached!
% 2.35/0.67 % (1319779)------------------------------
% 2.35/0.67 % (1319779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319779)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319779)Termination reason: Instruction limit
% 2.35/0.67 % (1319779)Termination phase: Property scanning
% 2.35/0.67 % (1319779)Time elapsed: 0.020 s
% 2.35/0.67 % (1319779)Peak memory usage: 11 MB
% 2.35/0.67 % (1319779)Instructions burned: 46 (million)
% 2.35/0.67 % (1319699)...printing done.
% 2.35/0.67 % (1319699)Refutation found. Thanks to Tanya!
% 2.35/0.67 % SZS status Theorem for theBenchmark
% 2.35/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.67 % (1319699)------------------------------
% 2.35/0.67 % (1319699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.67 % (1319699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.67 % (1319699)CaDiCaL version: 2.1.3
% 2.35/0.67 % (1319699)Termination reason: Refutation
% 2.35/0.67 % (1319699)Time elapsed: 0.336 s
% 2.35/0.67 % (1319699)Peak memory usage: 22 MB
% 2.35/0.67 % (1319699)Instructions burned: 649 (million)
% 2.35/0.67 % (1319691)Success in time 0.381 s
% 2.35/0.67 % Vampire exiting
%------------------------------------------------------------------------------