%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU754^1 : 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 : n005.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 08:31:09 AM UTC 2026
% Result : Theorem 2.64s 0.88s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of formulae : 170 ( 52 unt; 0 typ; 20 def)
% Number of atoms : 6298 (1694 equ; 0 cnn)
% Maximal formula atoms : 275 ( 37 avg)
% Number of connectives : 3814 ( 277 ~; 240 |;1141 &; 987 @)
% ( 36 <=>;1133 =>; 0 <=; 0 <~>)
% Maximal formula depth : 285 ( 17 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 : 527 ( 524 usr; 332 con; 0-4 aty)
% Number of variables : 240 ( 0 sgn 196 !; 44 ?; 240 :)
% 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_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_311,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_312,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_313,type,
vOR: $o > $o > $o ).
thf(func_def_314,type,
vAND: $o > $o > $o ).
thf(func_def_315,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_316,type,
vNOT: $o > $o ).
thf(func_def_317,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_318,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_319,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_320,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_321,type,
vIMP: $o > $o > $o ).
thf(func_def_322,type,
sP0: $i > $i > $o ).
thf(func_def_323,type,
sP1: $i > $o ).
thf(func_def_324,type,
sP2: $o ).
thf(func_def_325,type,
sP3: $o ).
thf(func_def_327,type,
sK5: $o ).
thf(func_def_344,type,
sK22: $i > $i ).
thf(func_def_345,type,
sK23: $i > $i ).
thf(func_def_346,type,
sK24: $i > $i ).
thf(func_def_347,type,
sK25: $i > $i ).
thf(func_def_348,type,
sK26: $i > $i ).
thf(func_def_349,type,
sK27: $i > $i > $i > $i ).
thf(func_def_350,type,
sK28: $i > $i ).
thf(func_def_351,type,
sK29: $i > $i ).
thf(func_def_352,type,
sK30: $i > $i ).
thf(func_def_353,type,
sK31: $i > $i ).
thf(func_def_354,type,
sK32: $i > $i > $i ).
thf(func_def_355,type,
sK33: $i > $i > $i ).
thf(func_def_356,type,
sK34: $i > $i > $i > $i ).
thf(func_def_357,type,
sK35: $i > $i > $i > $i ).
thf(func_def_358,type,
sK36: $i > $i > $i > $i ).
thf(func_def_359,type,
sK37: $i > $i > $i ).
thf(func_def_360,type,
sK38: $i > $i > $i ).
thf(func_def_361,type,
sK39: $i > $i > $i ).
thf(func_def_362,type,
sK40: $i > $o ).
thf(func_def_376,type,
sK54: ( $i > $o ) > $i > $i ).
thf(func_def_378,type,
sK56: $i > $o ).
thf(func_def_382,type,
sK60: $i > $o ).
thf(func_def_383,type,
sK61: $i > $o ).
thf(func_def_384,type,
sK62: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_385,type,
sK63: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_394,type,
sK72: $i > $i > $i > $i > $i ).
thf(func_def_395,type,
sK73: $i > $i > $i > $i > $i ).
thf(func_def_396,type,
sK74: $i > $i > $i > $i > $i ).
thf(func_def_397,type,
sK75: $i > $i > $i > $i > $i ).
thf(func_def_400,type,
sK78: $i > $o ).
thf(func_def_402,type,
sK80: $o ).
thf(func_def_433,type,
sK111: $i > $i > $i ).
thf(func_def_437,type,
sK115: $i > $i > $i > $i ).
thf(func_def_438,type,
sK116: $i > $i > $i > $i ).
thf(func_def_448,type,
sK126: $i > $o ).
thf(func_def_451,type,
sK129: $o ).
thf(func_def_456,type,
sK134: $i > $i > $i > $i ).
thf(func_def_457,type,
sK135: $i > $o ).
thf(func_def_461,type,
sK139: $i > $i ).
thf(func_def_464,type,
sK142: $i > $i > ( $i > $i ) > $i ).
thf(func_def_468,type,
sK146: $o ).
thf(func_def_472,type,
sK150: $i > $o ).
thf(func_def_473,type,
sK151: $i > $o ).
thf(func_def_476,type,
sK154: $i > ( $i > $o ) > $i ).
thf(func_def_483,type,
sK161: $i > $i > $o ).
thf(func_def_489,type,
sK167: $i > $i > $i ).
thf(func_def_492,type,
sK170: $i > $i > $i ).
thf(func_def_498,type,
sK176: $i > $o ).
thf(func_def_500,type,
sK178: ( $i > $o ) > $i ).
thf(func_def_501,type,
sK179: ( $i > $o ) > $i ).
thf(func_def_511,type,
sK189: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_512,type,
sK190: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_513,type,
sK191: $i > $o ).
thf(func_def_514,type,
sK192: $i > $o ).
thf(func_def_517,type,
sK195: $i > $i > $o ).
thf(func_def_523,type,
sK201: $o ).
thf(func_def_536,type,
sK214: $i > $o ).
thf(func_def_538,type,
sK216: $i > ( $i > $o ) > $i ).
thf(func_def_555,type,
sK233: $i > $i > $i ).
thf(func_def_556,type,
sK234: $i > $i > $i ).
thf(func_def_563,type,
sK241: $i > $i ).
thf(func_def_575,type,
sK253: $o ).
thf(func_def_576,type,
sK254: $o ).
thf(func_def_578,type,
sK256: $i > $i > ( $i > $i ) > $i ).
thf(func_def_579,type,
sK257: $i > $i ).
thf(func_def_583,type,
sK261: $o ).
thf(func_def_598,type,
sK276: $o ).
thf(func_def_609,type,
sK287: ( $i > $o ) > $i ).
thf(func_def_610,type,
sK288: $i > $o ).
thf(func_def_611,type,
sK289: $i > $i ).
thf(func_def_614,type,
sK292: $i > $o ).
thf(func_def_632,type,
sK310: $i > $i > $i > $i > $i ).
thf(func_def_639,type,
sK317: $i > $i > $o ).
thf(func_def_642,type,
sK320: ( $i > $o ) > $i > $i ).
thf(func_def_644,type,
sK322: $i > $o ).
thf(func_def_647,type,
sK325: $i > ( $i > $i > $o ) > $i ).
thf(func_def_648,type,
sK326: $i > ( $i > $i > $o ) > $i ).
thf(func_def_649,type,
sK327: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_650,type,
sK328: $i > $i > $o ).
thf(func_def_652,type,
sK330: $i > $i ).
thf(func_def_653,type,
sK331: $i > $i ).
thf(func_def_672,type,
sK350: $i > $o ).
thf(func_def_674,type,
sK352: ( $i > $o ) > $i > $i ).
thf(func_def_680,type,
sK358: $i > $i > $i ).
thf(func_def_685,type,
sK363: $i > $i ).
thf(func_def_686,type,
sK364: $i > $i ).
thf(func_def_704,type,
sK382: $i > $i > $i ).
thf(func_def_710,type,
sK388: $i > $i > $o ).
thf(func_def_723,type,
sK401: $i > $o ).
thf(func_def_727,type,
sK405: $i > $o ).
thf(func_def_729,type,
sK407: ( $i > $o ) > $i > $i ).
thf(func_def_747,type,
sK425: $i > $i > $o ).
thf(func_def_755,type,
sK433: $i > $o ).
thf(func_def_756,type,
sK434: $i > $i ).
thf(func_def_757,type,
sK435: ( $i > $o ) > $i ).
thf(func_def_777,type,
sK455: $i > $i > $i > $i ).
thf(func_def_778,type,
sK456: $i > $i > $i > $i ).
thf(func_def_785,type,
sK463: $i > $o ).
thf(func_def_787,type,
sK465: $i > $o ).
thf(func_def_790,type,
sK468: $i > ( $i > $o ) > $i ).
thf(func_def_825,type,
sK503: $i > $o ).
thf(func_def_827,type,
sK505: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_828,type,
sK506: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_829,type,
sK507: $i > $o ).
thf(func_def_833,type,
sK511: $o ).
thf(func_def_851,type,
sK529: $i > $i ).
thf(func_def_854,type,
sK532: $i > $i > ( $i > $i ) > $i ).
thf(func_def_859,type,
sK537: ( $i > $i ) > $i > $i > $i ).
thf(func_def_862,type,
sK540: $i > $i ).
thf(func_def_865,type,
sK543: $o ).
thf(func_def_874,type,
sK552: $i > $o ).
thf(func_def_879,type,
sK557: $i > $i > $o ).
thf(func_def_880,type,
sK558: $i > $i > $i > $i > $i ).
thf(func_def_903,type,
sK581: $i > $o ).
thf(func_def_906,type,
sK584: $i > ( $i > $o ) > $i ).
thf(func_def_907,type,
sK585: $i > ( $i > $o ) > $i ).
thf(func_def_924,type,
sK602: $i > $i > $o ).
thf(func_def_935,type,
sK613: $i > $o ).
thf(func_def_936,type,
sK614: ( $i > $o ) > $i > $i > $i ).
thf(func_def_948,type,
sK626: $i > $i ).
thf(func_def_952,type,
sK630: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_953,type,
sK631: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_957,type,
sK635: $i > $o ).
thf(func_def_972,type,
sK650: $i > $i > $i > $i > $i ).
thf(func_def_973,type,
sK651: $i > ( $i > $i ) > $i > $i ).
thf(func_def_975,type,
sK653: $i > $i ).
thf(func_def_985,type,
sK663: $i > $i ).
thf(func_def_999,type,
sK677: $i > $o ).
thf(func_def_1001,type,
sK679: ( $i > $o ) > $i > $i ).
thf(func_def_1002,type,
sK680: ( $i > $o ) > $i > $i ).
thf(func_def_1003,type,
sK681: $o ).
thf(func_def_1011,type,
sK689: $i > $o ).
thf(func_def_1013,type,
sK691: $i > ( $i > $o ) > $i ).
thf(func_def_1014,type,
sK692: $i > $o ).
thf(func_def_1027,type,
sK705: $o > $i > $i > $i ).
thf(func_def_1030,type,
sK708: $o ).
thf(func_def_1031,type,
sK709: $i > $o ).
thf(func_def_1032,type,
sK710: $i > $o ).
thf(func_def_1033,type,
sK711: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1034,type,
sK712: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1042,type,
sK720: $i > $i > $i > $i ).
thf(func_def_1045,type,
sK723: $i > $o ).
thf(func_def_1048,type,
sK726: $i > $i > $i ).
thf(func_def_1049,type,
sK727: $o ).
thf(func_def_1064,type,
sK742: $i > $i > $i ).
thf(func_def_1065,type,
sK743: $i > $i > $i ).
thf(func_def_1081,type,
sK759: ( $i > $o ) > $i ).
thf(func_def_1082,type,
sK760: $i > $o ).
thf(func_def_1084,type,
sK762: $i > $i ).
thf(func_def_1089,type,
sK767: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1091,type,
sK769: $i > $i ).
thf(func_def_1105,type,
sK783: $i > $i > $i > $i > $i ).
thf(func_def_1106,type,
sK784: $i > $i > $i > $i > $i ).
thf(func_def_1112,type,
sK790: $o ).
thf(func_def_1117,type,
sK795: $i > $o ).
thf(func_def_1126,type,
sK804: $i > $o ).
thf(func_def_1128,type,
sK806: ( $i > $o ) > $i > $i ).
thf(func_def_1139,type,
sK817: $o ).
thf(func_def_1143,type,
sK821: $o ).
thf(func_def_1152,type,
sK830: $i > $i ).
thf(func_def_1181,type,
sK859: $o ).
thf(f103,axiom,
( binunionIR
= ( ! [X0: $i,X2: $i,X1: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( binunion @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionIR) ).
thf(f108,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( binintersect @ X0 @ X1 ) ) ) )
= binintersectI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectI) ).
thf(f122,axiom,
( setminusER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).
thf(f125,axiom,
( setminusELneg
= ( ! [X2: $i,X0: $i,X1: $i] :
( ~ ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusELneg) ).
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(f275,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
=> ( demorgan1b
=> ( demorgan1
=> ! [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 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan2a) ).
thf(f276,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
=> ( demorgan1b
=> ( demorgan1
=> ! [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 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f275]) ).
thf(f293,plain,
( binunionIR
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ( in @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f103]) ).
thf(f294,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ( $true
= ( in @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
<=> ( binunionIR = $true ) ),
inference(fool_elimination,[],[f293]) ).
thf(f325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
=> ( ( in @ X1 @ X0 )
=> ( in @ X1 @ ( binintersect @ X2 @ X0 ) ) ) )
= binintersectI ),
inference(rectify,[],[f108]) ).
thf(f326,plain,
( ( binintersectI = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ( ( ( in @ X1 @ X0 )
= $true )
=> ( ( in @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f325]) ).
thf(f496,plain,
( setminusER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f122]) ).
thf(f497,plain,
( ( setminusER = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true )
=> ( ( in @ X2 @ X1 )
!= $true ) ) ),
inference(fool_elimination,[],[f496]) ).
thf(f641,plain,
( setminusELneg
= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( setminus @ X1 @ X2 ) )
=> ( ~ ( in @ X0 @ X2 )
=> ~ ( in @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f125]) ).
thf(f642,plain,
( ( setminusELneg = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
=> ( ( $true
!= ( in @ X0 @ X2 ) )
=> ( $true
!= ( in @ X0 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f641]) ).
thf(f647,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
=> ( demorgan1b
=> ( demorgan1
=> ! [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 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f276]) ).
thf(f648,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 )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ! [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 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f647]) ).
thf(f674,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(f675,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,[],[f674]) ).
thf(f834,plain,
( ( setminusER = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true )
=> ( ( in @ X2 @ X1 )
!= $true ) ) ),
inference(flattening,[],[f497]) ).
thf(f853,plain,
( ( setminusELneg = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
=> ( ( $true
!= ( in @ X0 @ X2 ) )
=> ( $true
!= ( in @ X0 @ X1 ) ) ) ) ),
inference(flattening,[],[f642]) ).
thf(f858,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,[],[f675]) ).
thf(f928,plain,
( ( setminusER = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f834]) ).
thf(f940,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,[],[f858]) ).
thf(f941,plain,
( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
<=> ( inComplementUnionImpNotIn1 = $true ) ),
inference(flattening,[],[f940]) ).
thf(f958,plain,
( ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X2 )
!= $true ) )
<=> ( binunionIR = $true ) ),
inference(ennf_transformation,[],[f294]) ).
thf(f989,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
!= $true )
& ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( demorgan1 = $true )
& ( demorgan1b = $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,[],[f648]) ).
thf(f990,plain,
( ( iffalseProp2 = $true )
& ( setunion__Cong = $true )
& ? [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ ( binintersect @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ X2 ) ) )
!= $true )
& ( ( in @ X3 @ X0 )
= $true )
& ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) ) )
& ( ex1E1 = $true )
& ( singletoninpowunion = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subsetI2 = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( binunionRsub = $true )
& ( powersetI = $true )
& ( binintersectEL = $true )
& ( setukpairinjR12 = $true )
& ( setminusI = $true )
& ( setadjoinE = $true )
& ( subsetTrans = $true )
& ( contraSubsetComplement = $true )
& ( ksndpairEq = $true )
& ( setminusEL = $true )
& ( exuI2 = $true )
& ( iftrueProp2 = $true )
& ( funcGraphProp2 = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( setadjoinIR = $true )
& ( omega0Ax = $true )
& ( theeq = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( binintersectLsub = $true )
& ( setminusER = $true )
& ( binunionT_lem = $true )
& ( subsetE = $true )
& ( setunionsingleton1 = $true )
& ( sepInPowerset = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( dpsetconstrEL1 = $true )
& ( cartprodpairmemER = $true )
& ( nonemptyI1 = $true )
& ( prop2set2propI = $true )
& ( binunionEcases = $true )
& ( upairset2IR = $true )
& ( omega__Cong = $true )
& ( kfstsingleton = $true )
& ( ifSingleton = $true )
& ( powersetsubset = $true )
& ( bs114d = $true )
& ( setunionAx = $true )
& ( notinemptyset = $true )
& ( doubleComplementI1 = $true )
& ( singletonsuniq = $true )
& ( replAx = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( inIntersectImpInUnion = $true )
& ( cartprodsndin = $true )
& ( notequalI2 = $true )
& ( setunionE = $true )
& ( doubleComplementEq = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( setminusERneg = $true )
& ( exuE2 = $true )
& ( wellorderingAx = $true )
& ( notsubsetI = $true )
& ( emptyinunitempty = $true )
& ( exu__Cong = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( powersetTI1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( setminusLsub = $true )
& ( powerset__Cong = $true )
& ( exuE3e = $true )
& ( dpsetconstrSub = $true )
& ( ap2apEq1 = $true )
& ( setextT = $true )
& ( setbeta = $true )
& ( cartprodmempair1 = $true )
& ( kpairp = $true )
& ( funcext2 = $true )
& ( complementTI1 = $true )
& ( ex1I = $true )
& ( setadjoinOr = $true )
& ( doubleComplementE1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( upairsubunion = $true )
& ( setukpairinjR1 = $true )
& ( demorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( cartprodsndpairEq = $true )
& ( funcextLem = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( subsetRefl = $true )
& ( demorgan1b = $true )
& ( binunionTEcontra = $true )
& ( foundationAx = $true )
& ( notinsingleton = $true )
& ( omegaIndAx = $true )
& ( symdiffIneg2 = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem1 = $true )
& ( cartprodpairin = $true )
& ( eqimpsubset2 = $true )
& ( setminusT_lem = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( subsetemptysetimpeq = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( doubleComplementSub2 = $true )
& ( powersetI1 = $true )
& ( kpairiskpair = $true )
& ( singletonsubset = $true )
& ( iftrueProp1 = $true )
& ( dsetconstrER = $true )
& ( ksndsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( upairinpowunion = $true )
& ( nonemptyI = $true )
& ( emptysetimpfalse = $true )
& ( inPowerset = $true )
& ( brelnall1 = $true )
& ( eqbreln = $true )
& ( symdiffI2 = $true )
& ( doubleComplementSub1 = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( binunionTIRcontra = $true )
& ( subsetI1 = $true )
& ( subsetE2 = $true )
& ( brelnall2 = $true )
& ( emptysetAx = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset1 = $true )
& ( subbreln = $true )
& ( cartprodpairmemEL = $true )
& ( emptyset__Cong = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( subPowSU = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binintersectRsub = $true )
& ( upairsetIL = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTE1 = $true )
& ( dpsetconstrI = $true )
& ( emptyE1 = $true )
& ( demorgan1a = $true )
& ( sepSubset = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( prop2setE = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairIR = $true )
& ( singletonsswitch = $true )
& ( exuEu = $true )
& ( binunionIR = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR11 = $true )
& ( symdiffI1 = $true )
& ( ubforcartprodlem2 = $true )
& ( binunionTILcontra = $true )
& ( cartprodfstpairEq = $true )
& ( singletoninpowerset = $true )
& ( emptyinPowerset = $true )
& ( quantDeMorgan4 = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( binunionLsub = $true )
& ( binintersectSubset4 = $true )
& ( infuncsetfunc = $true )
& ( binunionTE = $true )
& ( setunionsingleton = $true )
& ( ap2apEq2 = $true )
& ( ex1E2 = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinAx = $true )
& ( binintersectTELcontra = $true )
& ( setukpairIL = $true )
& ( setoftrueEq = $true )
& ( ex1I2 = $true )
& ( funcinfuncset = $true )
& ( demorgan2a1 = $true )
& ( disjointsetsI1 = $true )
& ( complementT_lem = $true )
& ( secondinupair = $true )
& ( upairset2E = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( descr__Cong = $true )
& ( setadjoinIL = $true )
& ( setadjoinSub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( cartprodmempair = $true )
& ( dpsetconstrEL2 = $true )
& ( quantDeMorgan3 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectT_lem = $true )
& ( vacuousDall = $true )
& ( binintersectER = $true )
& ( setukpairinjL2 = $true )
& ( exuI1 = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( powersetTE1 = $true )
& ( powersetT_lem = $true )
& ( apProp = $true )
& ( contrasubsetT3 = $true )
& ( kpairsurjEq = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( setukpairinjR2 = $true )
& ( powersetE1 = $true )
& ( demorgan2a2 = $true )
& ( omegaSAx = $true )
& ( powersetE = $true )
& ( singletonprop = $true )
& ( upairsetIR = $true )
& ( binintersectSubset5 = $true )
& ( funcGraphProp3 = $true )
& ( complementTcontraSubset = $true )
& ( setminusILneg = $true )
& ( cartprodfstin = $true )
& ( lamProp = $true )
& ( beta2 = $true )
& ( binunionIL = $true )
& ( setextsub = $true )
& ( lamp = $true )
& ( emptysetE = $true )
& ( setext = $true )
& ( cartprodmempaircEq = $true )
& ( setadjoin__Cong = $true )
& ( exuE1 = $true )
& ( setminusSubset1 = $true )
& ( quantDeMorgan2 = $true )
& ( subsetTI = $true )
& ( upairequniteq = $true )
& ( setukpairinjL1 = $true )
& ( notdexE = $true )
& ( nonemptyImpWitness = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setukpairinjL = $true )
& ( kfstpairEq = $true )
& ( binunionE = $true )
& ( setukpairinjR = $true )
& ( lam2p = $true )
& ( binintersectI = $true )
& ( dpsetconstrER = $true )
& ( eta2 = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( complementTnotintersectT = $true )
& ( iftrueorfalse = $true )
& ( eta1 = $true )
& ( dsetconstrEL = $true )
& ( setOfPairsIsBReln = $true )
& ( nonemptyE1 = $true )
& ( ap2p = $true )
& ( app = $true )
& ( dsetconstrI = $true )
& ( funcext = $true )
& ( symdiffE = $true )
& ( in__Cong = $true ) ),
inference(flattening,[],[f989]) ).
thf(f1096,plain,
( ( setminusELneg = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) ) ) ),
inference(ennf_transformation,[],[f853]) ).
thf(f1097,plain,
( ( setminusELneg = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ) ),
inference(flattening,[],[f1096]) ).
thf(f1131,plain,
( ( binintersectI = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[],[f326]) ).
thf(f1132,plain,
( ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true ) )
<=> ( binintersectI = $true ) ),
inference(flattening,[],[f1131]) ).
thf(f1232,plain,
( ( iffalseProp2 = $true )
& ( setunion__Cong = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( $true
!= ( in @ X3 @ ( binintersect @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ X2 ) ) ) )
& ( ( in @ X3 @ X1 )
= $true )
& ( $true
= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) )
& ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) ) ) )
& ( ex1E1 = $true )
& ( singletoninpowunion = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subsetI2 = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( binunionRsub = $true )
& ( powersetI = $true )
& ( binintersectEL = $true )
& ( setukpairinjR12 = $true )
& ( setminusI = $true )
& ( setadjoinE = $true )
& ( subsetTrans = $true )
& ( contraSubsetComplement = $true )
& ( ksndpairEq = $true )
& ( setminusEL = $true )
& ( exuI2 = $true )
& ( iftrueProp2 = $true )
& ( funcGraphProp2 = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( setadjoinIR = $true )
& ( omega0Ax = $true )
& ( theeq = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( binintersectLsub = $true )
& ( setminusER = $true )
& ( binunionT_lem = $true )
& ( subsetE = $true )
& ( setunionsingleton1 = $true )
& ( sepInPowerset = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( dpsetconstrEL1 = $true )
& ( cartprodpairmemER = $true )
& ( nonemptyI1 = $true )
& ( prop2set2propI = $true )
& ( binunionEcases = $true )
& ( upairset2IR = $true )
& ( omega__Cong = $true )
& ( kfstsingleton = $true )
& ( ifSingleton = $true )
& ( powersetsubset = $true )
& ( bs114d = $true )
& ( setunionAx = $true )
& ( notinemptyset = $true )
& ( doubleComplementI1 = $true )
& ( singletonsuniq = $true )
& ( replAx = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( inIntersectImpInUnion = $true )
& ( cartprodsndin = $true )
& ( notequalI2 = $true )
& ( setunionE = $true )
& ( doubleComplementEq = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( setminusERneg = $true )
& ( exuE2 = $true )
& ( wellorderingAx = $true )
& ( notsubsetI = $true )
& ( emptyinunitempty = $true )
& ( exu__Cong = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( powersetTI1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( setminusLsub = $true )
& ( powerset__Cong = $true )
& ( exuE3e = $true )
& ( dpsetconstrSub = $true )
& ( ap2apEq1 = $true )
& ( setextT = $true )
& ( setbeta = $true )
& ( cartprodmempair1 = $true )
& ( kpairp = $true )
& ( funcext2 = $true )
& ( complementTI1 = $true )
& ( ex1I = $true )
& ( setadjoinOr = $true )
& ( doubleComplementE1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( upairsubunion = $true )
& ( setukpairinjR1 = $true )
& ( demorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( cartprodsndpairEq = $true )
& ( funcextLem = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( subsetRefl = $true )
& ( demorgan1b = $true )
& ( binunionTEcontra = $true )
& ( foundationAx = $true )
& ( notinsingleton = $true )
& ( omegaIndAx = $true )
& ( symdiffIneg2 = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem1 = $true )
& ( cartprodpairin = $true )
& ( eqimpsubset2 = $true )
& ( setminusT_lem = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( subsetemptysetimpeq = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( doubleComplementSub2 = $true )
& ( powersetI1 = $true )
& ( kpairiskpair = $true )
& ( singletonsubset = $true )
& ( iftrueProp1 = $true )
& ( dsetconstrER = $true )
& ( ksndsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( upairinpowunion = $true )
& ( nonemptyI = $true )
& ( emptysetimpfalse = $true )
& ( inPowerset = $true )
& ( brelnall1 = $true )
& ( eqbreln = $true )
& ( symdiffI2 = $true )
& ( doubleComplementSub1 = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( binunionTIRcontra = $true )
& ( subsetI1 = $true )
& ( subsetE2 = $true )
& ( brelnall2 = $true )
& ( emptysetAx = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset1 = $true )
& ( subbreln = $true )
& ( cartprodpairmemEL = $true )
& ( emptyset__Cong = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( subPowSU = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binintersectRsub = $true )
& ( upairsetIL = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTE1 = $true )
& ( dpsetconstrI = $true )
& ( emptyE1 = $true )
& ( demorgan1a = $true )
& ( sepSubset = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( prop2setE = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairIR = $true )
& ( singletonsswitch = $true )
& ( exuEu = $true )
& ( binunionIR = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR11 = $true )
& ( symdiffI1 = $true )
& ( ubforcartprodlem2 = $true )
& ( binunionTILcontra = $true )
& ( cartprodfstpairEq = $true )
& ( singletoninpowerset = $true )
& ( emptyinPowerset = $true )
& ( quantDeMorgan4 = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( binunionLsub = $true )
& ( binintersectSubset4 = $true )
& ( infuncsetfunc = $true )
& ( binunionTE = $true )
& ( setunionsingleton = $true )
& ( ap2apEq2 = $true )
& ( ex1E2 = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinAx = $true )
& ( binintersectTELcontra = $true )
& ( setukpairIL = $true )
& ( setoftrueEq = $true )
& ( ex1I2 = $true )
& ( funcinfuncset = $true )
& ( demorgan2a1 = $true )
& ( disjointsetsI1 = $true )
& ( complementT_lem = $true )
& ( secondinupair = $true )
& ( upairset2E = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( descr__Cong = $true )
& ( setadjoinIL = $true )
& ( setadjoinSub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( cartprodmempair = $true )
& ( dpsetconstrEL2 = $true )
& ( quantDeMorgan3 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectT_lem = $true )
& ( vacuousDall = $true )
& ( binintersectER = $true )
& ( setukpairinjL2 = $true )
& ( exuI1 = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( powersetTE1 = $true )
& ( powersetT_lem = $true )
& ( apProp = $true )
& ( contrasubsetT3 = $true )
& ( kpairsurjEq = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( setukpairinjR2 = $true )
& ( powersetE1 = $true )
& ( demorgan2a2 = $true )
& ( omegaSAx = $true )
& ( powersetE = $true )
& ( singletonprop = $true )
& ( upairsetIR = $true )
& ( binintersectSubset5 = $true )
& ( funcGraphProp3 = $true )
& ( complementTcontraSubset = $true )
& ( setminusILneg = $true )
& ( cartprodfstin = $true )
& ( lamProp = $true )
& ( beta2 = $true )
& ( binunionIL = $true )
& ( setextsub = $true )
& ( lamp = $true )
& ( emptysetE = $true )
& ( setext = $true )
& ( cartprodmempaircEq = $true )
& ( setadjoin__Cong = $true )
& ( exuE1 = $true )
& ( setminusSubset1 = $true )
& ( quantDeMorgan2 = $true )
& ( subsetTI = $true )
& ( upairequniteq = $true )
& ( setukpairinjL1 = $true )
& ( notdexE = $true )
& ( nonemptyImpWitness = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setukpairinjL = $true )
& ( kfstpairEq = $true )
& ( binunionE = $true )
& ( setukpairinjR = $true )
& ( lam2p = $true )
& ( binintersectI = $true )
& ( dpsetconstrER = $true )
& ( eta2 = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( complementTnotintersectT = $true )
& ( iftrueorfalse = $true )
& ( eta1 = $true )
& ( dsetconstrEL = $true )
& ( setOfPairsIsBReln = $true )
& ( nonemptyE1 = $true )
& ( ap2p = $true )
& ( app = $true )
& ( dsetconstrI = $true )
& ( funcext = $true )
& ( symdiffE = $true )
& ( in__Cong = $true ) ),
inference(rectify,[],[f990]) ).
thf(f1233,plain,
( ( iffalseProp2 = $true )
& ( setunion__Cong = $true )
& ( ( in @ sK47 @ ( powerset @ sK48 ) )
= $true )
& ( ( in @ sK50 @ ( binintersect @ ( setminus @ sK48 @ sK47 ) @ ( setminus @ sK48 @ sK49 ) ) )
!= $true )
& ( $true
= ( in @ sK50 @ sK48 ) )
& ( ( in @ sK50 @ ( setminus @ sK48 @ ( binunion @ sK47 @ sK49 ) ) )
= $true )
& ( $true
= ( in @ sK49 @ ( powerset @ sK48 ) ) )
& ( ex1E1 = $true )
& ( singletoninpowunion = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subsetI2 = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( binunionRsub = $true )
& ( powersetI = $true )
& ( binintersectEL = $true )
& ( setukpairinjR12 = $true )
& ( setminusI = $true )
& ( setadjoinE = $true )
& ( subsetTrans = $true )
& ( contraSubsetComplement = $true )
& ( ksndpairEq = $true )
& ( setminusEL = $true )
& ( exuI2 = $true )
& ( iftrueProp2 = $true )
& ( funcGraphProp2 = $true )
& ( setminusELneg = $true )
& ( emptyInPowerset = $true )
& ( setadjoinIR = $true )
& ( omega0Ax = $true )
& ( theeq = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( binintersectLsub = $true )
& ( setminusER = $true )
& ( binunionT_lem = $true )
& ( subsetE = $true )
& ( setunionsingleton1 = $true )
& ( sepInPowerset = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( dpsetconstrEL1 = $true )
& ( cartprodpairmemER = $true )
& ( nonemptyI1 = $true )
& ( prop2set2propI = $true )
& ( binunionEcases = $true )
& ( upairset2IR = $true )
& ( omega__Cong = $true )
& ( kfstsingleton = $true )
& ( ifSingleton = $true )
& ( powersetsubset = $true )
& ( bs114d = $true )
& ( setunionAx = $true )
& ( notinemptyset = $true )
& ( doubleComplementI1 = $true )
& ( singletonsuniq = $true )
& ( replAx = $true )
& ( setunionI = $true )
& ( setunionE2 = $true )
& ( inIntersectImpInUnion = $true )
& ( cartprodsndin = $true )
& ( notequalI2 = $true )
& ( setunionE = $true )
& ( doubleComplementEq = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( setminusERneg = $true )
& ( exuE2 = $true )
& ( wellorderingAx = $true )
& ( notsubsetI = $true )
& ( emptyinunitempty = $true )
& ( exu__Cong = $true )
& ( eqimpsubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( powersetTI1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( setminusLsub = $true )
& ( powerset__Cong = $true )
& ( exuE3e = $true )
& ( dpsetconstrSub = $true )
& ( ap2apEq1 = $true )
& ( setextT = $true )
& ( setbeta = $true )
& ( cartprodmempair1 = $true )
& ( kpairp = $true )
& ( funcext2 = $true )
& ( complementTI1 = $true )
& ( ex1I = $true )
& ( setadjoinOr = $true )
& ( doubleComplementE1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( upairsubunion = $true )
& ( setukpairinjR1 = $true )
& ( demorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( cartprodsndpairEq = $true )
& ( funcextLem = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( subsetRefl = $true )
& ( demorgan1b = $true )
& ( binunionTEcontra = $true )
& ( foundationAx = $true )
& ( notinsingleton = $true )
& ( omegaIndAx = $true )
& ( symdiffIneg2 = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem1 = $true )
& ( cartprodpairin = $true )
& ( eqimpsubset2 = $true )
& ( setminusT_lem = $true )
& ( upairsetE = $true )
& ( theprop = $true )
& ( subsetemptysetimpeq = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( doubleComplementSub2 = $true )
& ( powersetI1 = $true )
& ( kpairiskpair = $true )
& ( singletonsubset = $true )
& ( iftrueProp1 = $true )
& ( dsetconstrER = $true )
& ( ksndsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( upairinpowunion = $true )
& ( nonemptyI = $true )
& ( emptysetimpfalse = $true )
& ( inPowerset = $true )
& ( brelnall1 = $true )
& ( eqbreln = $true )
& ( symdiffI2 = $true )
& ( doubleComplementSub1 = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( binunionTIRcontra = $true )
& ( subsetI1 = $true )
& ( subsetE2 = $true )
& ( brelnall2 = $true )
& ( emptysetAx = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset1 = $true )
& ( subbreln = $true )
& ( cartprodpairmemEL = $true )
& ( emptyset__Cong = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( subPowSU = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binintersectRsub = $true )
& ( upairsetIL = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTE1 = $true )
& ( dpsetconstrI = $true )
& ( emptyE1 = $true )
& ( demorgan1a = $true )
& ( sepSubset = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( prop2setE = $true )
& ( notequalI1 = $true )
& ( prop2setI = $true )
& ( setukpairIR = $true )
& ( singletonsswitch = $true )
& ( exuEu = $true )
& ( binunionIR = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR11 = $true )
& ( symdiffI1 = $true )
& ( ubforcartprodlem2 = $true )
& ( binunionTILcontra = $true )
& ( cartprodfstpairEq = $true )
& ( singletoninpowerset = $true )
& ( emptyinPowerset = $true )
& ( quantDeMorgan4 = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( binunionLsub = $true )
& ( binintersectSubset4 = $true )
& ( infuncsetfunc = $true )
& ( binunionTE = $true )
& ( setunionsingleton = $true )
& ( ap2apEq2 = $true )
& ( ex1E2 = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinAx = $true )
& ( binintersectTELcontra = $true )
& ( setukpairIL = $true )
& ( setoftrueEq = $true )
& ( ex1I2 = $true )
& ( funcinfuncset = $true )
& ( demorgan2a1 = $true )
& ( disjointsetsI1 = $true )
& ( complementT_lem = $true )
& ( secondinupair = $true )
& ( upairset2E = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( descr__Cong = $true )
& ( setadjoinIL = $true )
& ( setadjoinSub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( cartprodmempair = $true )
& ( dpsetconstrEL2 = $true )
& ( quantDeMorgan3 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectT_lem = $true )
& ( vacuousDall = $true )
& ( binintersectER = $true )
& ( setukpairinjL2 = $true )
& ( exuI1 = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( powersetTE1 = $true )
& ( powersetT_lem = $true )
& ( apProp = $true )
& ( contrasubsetT3 = $true )
& ( kpairsurjEq = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( setukpairinjR2 = $true )
& ( powersetE1 = $true )
& ( demorgan2a2 = $true )
& ( omegaSAx = $true )
& ( powersetE = $true )
& ( singletonprop = $true )
& ( upairsetIR = $true )
& ( binintersectSubset5 = $true )
& ( funcGraphProp3 = $true )
& ( complementTcontraSubset = $true )
& ( setminusILneg = $true )
& ( cartprodfstin = $true )
& ( lamProp = $true )
& ( beta2 = $true )
& ( binunionIL = $true )
& ( setextsub = $true )
& ( lamp = $true )
& ( emptysetE = $true )
& ( setext = $true )
& ( cartprodmempaircEq = $true )
& ( setadjoin__Cong = $true )
& ( exuE1 = $true )
& ( setminusSubset1 = $true )
& ( quantDeMorgan2 = $true )
& ( subsetTI = $true )
& ( upairequniteq = $true )
& ( setukpairinjL1 = $true )
& ( notdexE = $true )
& ( nonemptyImpWitness = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setukpairinjL = $true )
& ( kfstpairEq = $true )
& ( binunionE = $true )
& ( setukpairinjR = $true )
& ( lam2p = $true )
& ( binintersectI = $true )
& ( dpsetconstrER = $true )
& ( eta2 = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( complementTnotintersectT = $true )
& ( iftrueorfalse = $true )
& ( eta1 = $true )
& ( dsetconstrEL = $true )
& ( setOfPairsIsBReln = $true )
& ( nonemptyE1 = $true )
& ( ap2p = $true )
& ( app = $true )
& ( dsetconstrI = $true )
& ( funcext = $true )
& ( symdiffE = $true )
& ( in__Cong = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50]),skolemize(X0,sK47),skolemize(X1,sK48),skolemize(X2,sK49),skolemize(X3,sK50)],[f1232]) ).
thf(f1268,plain,
( ( ( setminusELneg = $true )
| ? [X2: $i,X1: $i,X0: $i] :
( ( $true
!= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
& ( $true
!= ( in @ X0 @ X2 ) )
& ( $true
= ( in @ X0 @ X1 ) ) ) )
& ( ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( setminusELneg != $true ) ) ),
inference(nnf_transformation,[],[f1097]) ).
thf(f1269,plain,
( ( ( setminusELneg = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X2 @ ( setminus @ X1 @ X0 ) ) )
& ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ ( setminus @ X4 @ X3 ) ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) ) )
| ( setminusELneg != $true ) ) ),
inference(rectify,[],[f1268]) ).
thf(f1270,plain,
( ( ( setminusELneg = $true )
| ( ( $true
!= ( in @ sK91 @ ( setminus @ sK90 @ sK89 ) ) )
& ( ( in @ sK91 @ sK89 )
!= $true )
& ( ( in @ sK91 @ sK90 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ ( setminus @ X4 @ X3 ) ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) ) )
| ( setminusELneg != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X0,sK89),skolemize(X1,sK90),skolemize(X2,sK91)],[f1269]) ).
thf(f1277,plain,
( ( ( setminusER = $true )
| ? [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true ) )
| ( setminusER != $true ) ) ),
inference(nnf_transformation,[],[f928]) ).
thf(f1278,plain,
( ( ( setminusER = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
& ( $true
= ( in @ X1 @ ( setminus @ X2 @ X0 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
!= $true )
| ( $true
!= ( in @ X4 @ ( setminus @ X5 @ X3 ) ) ) )
| ( setminusER != $true ) ) ),
inference(rectify,[],[f1277]) ).
thf(f1279,plain,
( ( ( setminusER = $true )
| ( ( ( in @ sK96 @ sK95 )
= $true )
& ( $true
= ( in @ sK96 @ ( setminus @ sK97 @ sK95 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
!= $true )
| ( $true
!= ( in @ X4 @ ( setminus @ X5 @ X3 ) ) ) )
| ( setminusER != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95,sK96,sK97]),skolemize(X0,sK95),skolemize(X1,sK96),skolemize(X2,sK97)],[f1278]) ).
thf(f1352,plain,
( ( ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true ) )
| ( binintersectI != $true ) )
& ( ( binintersectI = $true )
| ? [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X1 @ ( binintersect @ X2 @ X0 ) )
!= $true )
& ( ( in @ X1 @ X2 )
= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f1132]) ).
thf(f1353,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( binintersect @ X1 @ X2 ) )
= $true )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) ) )
| ( binintersectI != $true ) )
& ( ( binintersectI = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ ( binintersect @ X4 @ X5 ) )
!= $true )
& ( $true
= ( in @ X3 @ X4 ) )
& ( ( in @ X3 @ X5 )
= $true ) ) ) ),
inference(rectify,[],[f1352]) ).
thf(f1354,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( binintersect @ X1 @ X2 ) )
= $true )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) ) )
| ( binintersectI != $true ) )
& ( ( binintersectI = $true )
| ( ( ( in @ sK173 @ ( binintersect @ sK174 @ sK175 ) )
!= $true )
& ( $true
= ( in @ sK173 @ sK174 ) )
& ( $true
= ( in @ sK173 @ sK175 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK173,sK174,sK175]),skolemize(X3,sK173),skolemize(X4,sK174),skolemize(X5,sK175)],[f1353]) ).
thf(f1725,plain,
( ( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( ( in @ X3 @ X0 )
= $true )
& ( ( in @ X3 @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f941]) ).
thf(f1726,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ X1 )
!= $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ? [X4: $i,X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( ( in @ X7 @ X4 )
= $true )
& ( $true
= ( in @ X7 @ X5 ) )
& ( $true
= ( in @ X7 @ ( setminus @ X5 @ ( binunion @ X4 @ X6 ) ) ) ) )
& ( $true
= ( in @ X6 @ ( powerset @ X5 ) ) ) )
& ( ( in @ X4 @ ( powerset @ X5 ) )
= $true ) ) ) ),
inference(rectify,[],[f1725]) ).
thf(f1727,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ X1 )
!= $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( inComplementUnionImpNotIn1 != $true ) )
& ( ( inComplementUnionImpNotIn1 = $true )
| ( ( $true
= ( in @ sK569 @ sK566 ) )
& ( ( in @ sK569 @ sK567 )
= $true )
& ( $true
= ( in @ sK569 @ ( setminus @ sK567 @ ( binunion @ sK566 @ sK568 ) ) ) )
& ( ( in @ sK568 @ ( powerset @ sK567 ) )
= $true )
& ( $true
= ( in @ sK566 @ ( powerset @ sK567 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK566,sK567,sK568,sK569]),skolemize(X4,sK566),skolemize(X5,sK567),skolemize(X6,sK568),skolemize(X7,sK569)],[f1726]) ).
thf(f1851,plain,
( ( ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X2 )
!= $true ) )
| ( binunionIR != $true ) )
& ( ( binunionIR = $true )
| ? [X2: $i,X1: $i,X0: $i] :
( ( $true
!= ( in @ X1 @ ( binunion @ X0 @ X2 ) ) )
& ( ( in @ X1 @ X2 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f958]) ).
thf(f1852,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X2 @ X0 ) ) )
| ( ( in @ X1 @ X0 )
!= $true ) )
| ( binunionIR != $true ) )
& ( ( binunionIR = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
!= $true )
& ( ( in @ X4 @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f1851]) ).
thf(f1853,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X2 @ X0 ) ) )
| ( ( in @ X1 @ X0 )
!= $true ) )
| ( binunionIR != $true ) )
& ( ( binunionIR = $true )
| ( ( ( in @ sK701 @ ( binunion @ sK702 @ sK700 ) )
!= $true )
& ( ( in @ sK701 @ sK700 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK700,sK701,sK702]),skolemize(X3,sK700),skolemize(X4,sK701),skolemize(X5,sK702)],[f1852]) ).
thf(f2103,plain,
binintersectI = $true,
inference(cnf_transformation,[],[f1233]) ).
thf(f2194,plain,
binunionIR = $true,
inference(cnf_transformation,[],[f1233]) ).
thf(f2201,plain,
inComplementUnionImpNotIn1 = $true,
inference(cnf_transformation,[],[f1233]) ).
thf(f2326,plain,
setminusER = $true,
inference(cnf_transformation,[],[f1233]) ).
thf(f2334,plain,
setminusELneg = $true,
inference(cnf_transformation,[],[f1233]) ).
thf(f2355,plain,
( $true
= ( in @ sK49 @ ( powerset @ sK48 ) ) ),
inference(cnf_transformation,[],[f1233]) ).
thf(f2356,plain,
( ( in @ sK50 @ ( setminus @ sK48 @ ( binunion @ sK47 @ sK49 ) ) )
= $true ),
inference(cnf_transformation,[],[f1233]) ).
thf(f2357,plain,
( $true
= ( in @ sK50 @ sK48 ) ),
inference(cnf_transformation,[],[f1233]) ).
thf(f2358,plain,
( ( in @ sK50 @ ( binintersect @ ( setminus @ sK48 @ sK47 ) @ ( setminus @ sK48 @ sK49 ) ) )
!= $true ),
inference(cnf_transformation,[],[f1233]) ).
thf(f2359,plain,
( ( in @ sK47 @ ( powerset @ sK48 ) )
= $true ),
inference(cnf_transformation,[],[f1233]) ).
thf(f2422,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( setminusELneg != $true )
| ( $true
= ( in @ X5 @ ( setminus @ X4 @ X3 ) ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) ) ),
inference(cnf_transformation,[],[f1270]) ).
thf(f2432,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( setminus @ X5 @ X3 ) ) )
| ( setminusER != $true )
| ( ( in @ X4 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f1279]) ).
thf(f2539,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( binintersect @ X1 @ X2 ) )
= $true )
| ( binintersectI != $true )
| ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f1354]) ).
thf(f3060,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( inComplementUnionImpNotIn1 != $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ),
inference(cnf_transformation,[],[f1727]) ).
thf(f3238,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( binunionIR != $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( $true
= ( in @ X1 @ ( binunion @ X2 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f1853]) ).
thf(f3737,definition,
( spl864_13
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
| ( $true
= ( in @ X1 @ ( binunion @ X2 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_13])],[avatar_definition]) ).
thf(f3738,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( binunion @ X2 @ X0 ) ) )
| ( ( in @ X1 @ X0 )
!= $true ) )
| ~ spl864_13 ),
inference(avatar_component_clause,[],[f3737]) ).
thf(f3740,definition,
( spl864_14
<=> ( binunionIR = $true ) ),
introduced(definition,[new_symbols(definition,[spl864_14])],[avatar_definition]) ).
thf(f3743,plain,
( spl864_13
| ~ spl864_14 ),
inference(avatar_split_clause,[],[f3238,f3740,f3737]) ).
thf(f3813,definition,
( spl864_31
<=> ( inComplementUnionImpNotIn1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl864_31])],[avatar_definition]) ).
thf(f3816,plain,
spl864_31,
inference(avatar_split_clause,[],[f2201,f3813]) ).
thf(f4281,definition,
( spl864_137
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( binintersect @ X1 @ X2 ) )
= $true )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
!= ( in @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_137])],[avatar_definition]) ).
thf(f4282,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( binintersect @ X1 @ X2 ) )
= $true )
| ( $true
!= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ~ spl864_137 ),
inference(avatar_component_clause,[],[f4281]) ).
thf(f4284,definition,
( spl864_138
<=> ( binintersectI = $true ) ),
introduced(definition,[new_symbols(definition,[spl864_138])],[avatar_definition]) ).
thf(f4287,plain,
( spl864_137
| ~ spl864_138 ),
inference(avatar_split_clause,[],[f2539,f4284,f4281]) ).
thf(f4342,definition,
( spl864_151
<=> ( setminusER = $true ) ),
introduced(definition,[new_symbols(definition,[spl864_151])],[avatar_definition]) ).
thf(f4549,definition,
( spl864_198
<=> ( $true
= ( in @ sK49 @ ( powerset @ sK48 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_198])],[avatar_definition]) ).
thf(f4551,plain,
( ( $true
= ( in @ sK49 @ ( powerset @ sK48 ) ) )
| ~ spl864_198 ),
inference(avatar_component_clause,[],[f4549]) ).
thf(f4552,plain,
spl864_198,
inference(avatar_split_clause,[],[f2355,f4549]) ).
thf(f6300,plain,
spl864_138,
inference(avatar_split_clause,[],[f2103,f4284]) ).
thf(f6326,definition,
( spl864_585
<=> ( setminusELneg = $true ) ),
introduced(definition,[new_symbols(definition,[spl864_585])],[avatar_definition]) ).
thf(f6745,definition,
( spl864_674
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_674])],[avatar_definition]) ).
thf(f6746,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ ( setminus @ X1 @ X2 ) ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ~ spl864_674 ),
inference(avatar_component_clause,[],[f6745]) ).
thf(f7095,plain,
spl864_585,
inference(avatar_split_clause,[],[f2334,f6326]) ).
thf(f7224,definition,
( spl864_775
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
!= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( setminus @ X4 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_775])],[avatar_definition]) ).
thf(f7225,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( setminus @ X4 @ X3 ) ) )
| ( $true
!= ( in @ X5 @ X3 ) ) )
| ~ spl864_775 ),
inference(avatar_component_clause,[],[f7224]) ).
thf(f7409,definition,
( spl864_815
<=> ( $true
= ( in @ sK50 @ sK48 ) ) ),
introduced(definition,[new_symbols(definition,[spl864_815])],[avatar_definition]) ).
thf(f7411,plain,
( ( $true
= ( in @ sK50 @ sK48 ) )
| ~ spl864_815 ),
inference(avatar_component_clause,[],[f7409]) ).
thf(f7412,plain,
spl864_815,
inference(avatar_split_clause,[],[f2357,f7409]) ).
thf(f7713,plain,
( spl864_674
| ~ spl864_585 ),
inference(avatar_split_clause,[],[f2422,f6326,f6745]) ).
thf(f7862,plain,
spl864_151,
inference(avatar_split_clause,[],[f2326,f4342]) ).
thf(f8600,definition,
( spl864_1060
<=> ( ( in @ sK47 @ ( powerset @ sK48 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl864_1060])],[avatar_definition]) ).
thf(f8602,plain,
( ( ( in @ sK47 @ ( powerset @ sK48 ) )
= $true )
| ~ spl864_1060 ),
inference(avatar_component_clause,[],[f8600]) ).
thf(f8603,plain,
spl864_1060,
inference(avatar_split_clause,[],[f2359,f8600]) ).
thf(f8682,plain,
( ~ spl864_151
| spl864_775 ),
inference(avatar_split_clause,[],[f2432,f7224,f4342]) ).
thf(f9153,definition,
( spl864_1171
<=> ( ( in @ sK50 @ ( binintersect @ ( setminus @ sK48 @ sK47 ) @ ( setminus @ sK48 @ sK49 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl864_1171])],[avatar_definition]) ).
thf(f9155,plain,
( ( ( in @ sK50 @ ( binintersect @ ( setminus @ sK48 @ sK47 ) @ ( setminus @ sK48 @ sK49 ) ) )
!= $true )
| spl864_1171 ),
inference(avatar_component_clause,[],[f9153]) ).
thf(f9156,plain,
~ spl864_1171,
inference(avatar_split_clause,[],[f2358,f9153]) ).
thf(f9217,plain,
spl864_14,
inference(avatar_split_clause,[],[f2194,f3740]) ).
thf(f9932,definition,
( spl864_1329
<=> ! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_1329])],[avatar_definition]) ).
thf(f9933,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X3 @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) ) )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true ) )
| ~ spl864_1329 ),
inference(avatar_component_clause,[],[f9932]) ).
thf(f9934,plain,
( ~ spl864_31
| spl864_1329 ),
inference(avatar_split_clause,[],[f3060,f9932,f3813]) ).
thf(f10180,definition,
( spl864_1379
<=> ( ( in @ sK50 @ ( setminus @ sK48 @ ( binunion @ sK47 @ sK49 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl864_1379])],[avatar_definition]) ).
thf(f10182,plain,
( ( ( in @ sK50 @ ( setminus @ sK48 @ ( binunion @ sK47 @ sK49 ) ) )
= $true )
| ~ spl864_1379 ),
inference(avatar_component_clause,[],[f10180]) ).
thf(f10183,plain,
spl864_1379,
inference(avatar_split_clause,[],[f2356,f10180]) ).
thf(f10273,plain,
( ( $true
!= ( in @ sK49 @ ( powerset @ sK48 ) ) )
| ( $true != $true )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ( ( in @ sK50 @ sK47 )
!= $true )
| ( ( in @ sK47 @ ( powerset @ sK48 ) )
!= $true )
| ~ spl864_1329
| ~ spl864_1379 ),
inference(superposition,[],[f9933,f10182]) ).
thf(f10275,plain,
( ( $true != $true )
| ( ( in @ sK50 @ ( binunion @ sK47 @ sK49 ) )
!= $true )
| ~ spl864_775
| ~ spl864_1379 ),
inference(superposition,[],[f7225,f10182]) ).
thf(f10276,plain,
( ( ( in @ sK50 @ ( binunion @ sK47 @ sK49 ) )
!= $true )
| ~ spl864_775
| ~ spl864_1379 ),
inference(trivial_inequality_removal,[],[f10275]) ).
thf(f10278,plain,
( ( $true
!= ( in @ sK49 @ ( powerset @ sK48 ) ) )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ( ( in @ sK47 @ ( powerset @ sK48 ) )
!= $true )
| ( ( in @ sK50 @ sK47 )
!= $true )
| ~ spl864_1329
| ~ spl864_1379 ),
inference(trivial_inequality_removal,[],[f10273]) ).
thf(f10280,definition,
( spl864_1387
<=> ( ( in @ sK50 @ ( binunion @ sK47 @ sK49 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl864_1387])],[avatar_definition]) ).
thf(f10282,plain,
( ( ( in @ sK50 @ ( binunion @ sK47 @ sK49 ) )
!= $true )
| spl864_1387 ),
inference(avatar_component_clause,[],[f10280]) ).
thf(f10283,plain,
( ~ spl864_1387
| ~ spl864_775
| ~ spl864_1379 ),
inference(avatar_split_clause,[],[f10276,f10180,f7224,f10280]) ).
thf(f10285,plain,
( ( ( in @ sK50 @ sK47 )
!= $true )
| ( ( in @ sK47 @ ( powerset @ sK48 ) )
!= $true )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ~ spl864_198
| ~ spl864_1329
| ~ spl864_1379 ),
inference(forward_subsumption_resolution,[],[f10278,f4551]) ).
thf(f10294,plain,
( ( ( in @ sK50 @ sK47 )
!= $true )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ~ spl864_198
| ~ spl864_1060
| ~ spl864_1329
| ~ spl864_1379 ),
inference(forward_subsumption_resolution,[],[f10285,f8602]) ).
thf(f10295,plain,
( ( ( in @ sK50 @ sK47 )
!= $true )
| ~ spl864_198
| ~ spl864_815
| ~ spl864_1060
| ~ spl864_1329
| ~ spl864_1379 ),
inference(forward_subsumption_resolution,[],[f10294,f7411]) ).
thf(f10297,definition,
( spl864_1390
<=> ( ( in @ sK50 @ sK47 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl864_1390])],[avatar_definition]) ).
thf(f10299,plain,
( ( ( in @ sK50 @ sK47 )
!= $true )
| spl864_1390 ),
inference(avatar_component_clause,[],[f10297]) ).
thf(f10300,plain,
( ~ spl864_1390
| ~ spl864_198
| ~ spl864_815
| ~ spl864_1060
| ~ spl864_1329
| ~ spl864_1379 ),
inference(avatar_split_clause,[],[f10295,f10180,f9932,f8600,f7409,f4549,f10297]) ).
thf(f10685,definition,
( spl864_1397
<=> ( $true
= ( in @ sK50 @ ( setminus @ sK48 @ sK47 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_1397])],[avatar_definition]) ).
thf(f10687,plain,
( ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK47 ) ) )
| spl864_1397 ),
inference(avatar_component_clause,[],[f10685]) ).
thf(f10702,definition,
( spl864_1399
<=> ( $true
= ( in @ sK50 @ ( setminus @ sK48 @ sK49 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl864_1399])],[avatar_definition]) ).
thf(f10704,plain,
( ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK49 ) ) )
| spl864_1399 ),
inference(avatar_component_clause,[],[f10702]) ).
thf(f11029,plain,
( ( $true != $true )
| ( $true
!= ( in @ sK50 @ sK49 ) )
| ~ spl864_13
| spl864_1387 ),
inference(superposition,[],[f10282,f3738]) ).
thf(f11031,plain,
( ( $true
!= ( in @ sK50 @ sK49 ) )
| ~ spl864_13
| spl864_1387 ),
inference(trivial_inequality_removal,[],[f11029]) ).
thf(f11035,definition,
( spl864_1426
<=> ( $true
= ( in @ sK50 @ sK49 ) ) ),
introduced(definition,[new_symbols(definition,[spl864_1426])],[avatar_definition]) ).
thf(f11038,plain,
( ~ spl864_1426
| ~ spl864_13
| spl864_1387 ),
inference(avatar_split_clause,[],[f11031,f10280,f3737,f11035]) ).
thf(f12319,plain,
( ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK49 ) ) )
| ( $true != $true )
| ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK47 ) ) )
| ~ spl864_137
| spl864_1171 ),
inference(superposition,[],[f9155,f4282]) ).
thf(f12324,plain,
( ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK47 ) ) )
| ( $true
!= ( in @ sK50 @ ( setminus @ sK48 @ sK49 ) ) )
| ~ spl864_137
| spl864_1171 ),
inference(trivial_inequality_removal,[],[f12319]) ).
thf(f12476,plain,
( ( $true
!= ( in @ sK50 @ sK48 ) )
| ( ( in @ sK50 @ sK47 )
= $true )
| ( $true != $true )
| ~ spl864_674
| spl864_1397 ),
inference(superposition,[],[f10687,f6746]) ).
thf(f12477,plain,
( ( $true
!= ( in @ sK50 @ sK48 ) )
| ( $true
= ( in @ sK50 @ sK49 ) )
| ( $true != $true )
| ~ spl864_674
| spl864_1399 ),
inference(superposition,[],[f10704,f6746]) ).
thf(f12478,plain,
( ( ( in @ sK50 @ sK47 )
= $true )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ~ spl864_674
| spl864_1397 ),
inference(trivial_inequality_removal,[],[f12476]) ).
thf(f12483,plain,
( ( $true
= ( in @ sK50 @ sK49 ) )
| ( $true
!= ( in @ sK50 @ sK48 ) )
| ~ spl864_674
| spl864_1399 ),
inference(trivial_inequality_removal,[],[f12477]) ).
thf(f12492,plain,
( ( $true
!= ( in @ sK50 @ sK48 ) )
| ~ spl864_674
| spl864_1390
| spl864_1397 ),
inference(forward_subsumption_resolution,[],[f12478,f10299]) ).
thf(f12493,plain,
( ( $true
= ( in @ sK50 @ sK49 ) )
| ~ spl864_674
| ~ spl864_815
| spl864_1399 ),
inference(forward_subsumption_resolution,[],[f12483,f7411]) ).
thf(f12494,plain,
( $false
| ~ spl864_674
| ~ spl864_815
| spl864_1390
| spl864_1397 ),
inference(forward_subsumption_resolution,[],[f12492,f7411]) ).
thf(f12495,plain,
( ~ spl864_674
| ~ spl864_815
| spl864_1390
| spl864_1397 ),
inference(avatar_contradiction_clause,[],[f12494]) ).
thf(f12496,plain,
( spl864_1426
| ~ spl864_674
| ~ spl864_815
| spl864_1399 ),
inference(avatar_split_clause,[],[f12493,f10702,f7409,f6745,f11035]) ).
thf(f12502,plain,
( ~ spl864_1397
| ~ spl864_1399
| ~ spl864_137
| spl864_1171 ),
inference(avatar_split_clause,[],[f12324,f9153,f4281,f10702,f10685]) ).
cnf(s8,plain,
( spl864_13
| ~ spl864_14 ),
inference(sat_conversion,[],[f3743]) ).
cnf(s19,plain,
spl864_31,
inference(sat_conversion,[],[f3816]) ).
cnf(s83,plain,
( spl864_137
| ~ spl864_138 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s125,plain,
spl864_198,
inference(sat_conversion,[],[f4552]) ).
cnf(s451,plain,
spl864_138,
inference(sat_conversion,[],[f6300]) ).
cnf(s619,plain,
spl864_585,
inference(sat_conversion,[],[f7095]) ).
cnf(s687,plain,
spl864_815,
inference(sat_conversion,[],[f7412]) ).
cnf(s765,plain,
( ~ spl864_585
| spl864_674 ),
inference(sat_conversion,[],[f7713]) ).
cnf(s800,plain,
spl864_151,
inference(sat_conversion,[],[f7862]) ).
cnf(s991,plain,
spl864_1060,
inference(sat_conversion,[],[f8603]) ).
cnf(s1015,plain,
( ~ spl864_151
| spl864_775 ),
inference(sat_conversion,[],[f8682]) ).
cnf(s1137,plain,
~ spl864_1171,
inference(sat_conversion,[],[f9156]) ).
cnf(s1155,plain,
spl864_14,
inference(sat_conversion,[],[f9217]) ).
cnf(s1337,plain,
( ~ spl864_31
| spl864_1329 ),
inference(sat_conversion,[],[f9934]) ).
cnf(s1404,plain,
spl864_1379,
inference(sat_conversion,[],[f10183]) ).
cnf(s1414,plain,
( ~ spl864_775
| ~ spl864_1379
| ~ spl864_1387 ),
inference(sat_conversion,[],[f10283]) ).
cnf(s1416,plain,
( ~ spl864_198
| ~ spl864_815
| ~ spl864_1060
| ~ spl864_1329
| ~ spl864_1379
| ~ spl864_1390 ),
inference(sat_conversion,[],[f10300]) ).
cnf(s1450,plain,
( ~ spl864_13
| spl864_1387
| ~ spl864_1426 ),
inference(sat_conversion,[],[f11038]) ).
cnf(s1488,plain,
( ~ spl864_674
| ~ spl864_815
| spl864_1390
| spl864_1397 ),
inference(sat_conversion,[],[f12495]) ).
cnf(s1489,plain,
( ~ spl864_674
| ~ spl864_815
| spl864_1399
| spl864_1426 ),
inference(sat_conversion,[],[f12496]) ).
cnf(s1491,plain,
( ~ spl864_137
| spl864_1171
| ~ spl864_1397
| ~ spl864_1399 ),
inference(sat_conversion,[],[f12502]) ).
cnf(s1561,plain,
spl864_775,
inference(rat,[],[s1015,s800]) ).
cnf(s1562,plain,
~ spl864_1387,
inference(rat,[],[s1414,s1404,s1561]) ).
cnf(s1609,plain,
spl864_674,
inference(rat,[],[s765,s619]) ).
cnf(s1814,plain,
spl864_137,
inference(rat,[],[s83,s451]) ).
cnf(s1847,plain,
spl864_1329,
inference(rat,[],[s1337,s19]) ).
cnf(s1848,plain,
~ spl864_1390,
inference(rat,[],[s1416,s125,s1404,s687,s991,s1847]) ).
cnf(s1849,plain,
spl864_1397,
inference(rat,[],[s1488,s1609,s687,s1848]) ).
cnf(s1850,plain,
~ spl864_1399,
inference(rat,[],[s1491,s1814,s1137,s1849]) ).
cnf(s1852,plain,
spl864_1426,
inference(rat,[],[s1489,s1609,s687,s1850]) ).
cnf(s1856,plain,
~ spl864_13,
inference(rat,[],[s1450,s1562,s1852]) ).
cnf(s1862,plain,
$false,
inference(rat,[],[s8,s1155,s1856]) ).
thf(f12503,plain,
$false,
inference(avatar_sat_refutation,[],[s1862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU754^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n005.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 14:21:31 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.27 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
% 0.40/0.49 % (1737227)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.40/0.49 % (1737233)lrs+10_16_si=on:nwc=1.5:random_seed=2081023878:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.40/0.49 % (1737233)Instruction limit reached!
% 0.40/0.49 % (1737233)------------------------------
% 0.40/0.49 % (1737233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (1737233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (1737233)CaDiCaL version: 2.1.3
% 0.40/0.49 % (1737233)Termination reason: Instruction limit
% 0.40/0.49 % (1737233)Termination phase: shuffling
% 0.40/0.49 % (1737233)Time elapsed: 0.004 s
% 0.40/0.49 % (1737233)Peak memory usage: 10 MB
% 0.40/0.49 % (1737233)Instructions burned: 18 (million)
% 0.40/0.49 % (1737232)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=677650331:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.40/0.49 % (1737240)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=261097202:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.40/0.49 % (1737240)Instruction limit reached!
% 0.40/0.49 % (1737240)------------------------------
% 0.40/0.49 % (1737240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (1737240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (1737240)CaDiCaL version: 2.1.3
% 0.40/0.49 % (1737240)Termination reason: Instruction limit
% 0.40/0.49 % (1737240)Termination phase: shuffling
% 0.40/0.49 % (1737240)Time elapsed: 0.003 s
% 0.40/0.49 % (1737240)Peak memory usage: 10 MB
% 0.40/0.49 % (1737240)Instructions burned: 11 (million)
% 0.40/0.49 % (1737235)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=714350757: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)
% 0.40/0.49 % (1737243)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2544827586:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.40/0.49 % (1737243)Instruction limit reached!
% 0.40/0.49 % (1737243)------------------------------
% 0.40/0.49 % (1737243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (1737243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (1737243)CaDiCaL version: 2.1.3
% 0.40/0.49 % (1737243)Termination reason: Instruction limit
% 0.40/0.49 % (1737243)Termination phase: shuffling
% 0.40/0.49 % (1737243)Time elapsed: 0.002 s
% 0.40/0.49 % (1737243)Peak memory usage: 10 MB
% 0.40/0.49 % (1737243)Instructions burned: 9 (million)
% 0.40/0.49 % (1737246)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.40/0.49 % (1737246)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2700581807:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.40/0.49 % (1737246)Instruction limit reached!
% 0.40/0.49 % (1737246)------------------------------
% 0.40/0.49 % (1737246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (1737246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (1737246)CaDiCaL version: 2.1.3
% 0.40/0.49 % (1737246)Termination reason: Instruction limit
% 0.40/0.49 % (1737246)Termination phase: shuffling
% 0.40/0.49 % (1737246)Time elapsed: 0.002 s
% 0.40/0.49 % (1737246)Peak memory usage: 10 MB
% 0.40/0.49 % (1737246)Instructions burned: 8 (million)
% 0.40/0.49 % (1737248)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2354253972:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.40/0.49 % (1737248)Instruction limit reached!
% 0.40/0.49 % (1737248)------------------------------
% 0.40/0.49 % (1737248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (1737248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (1737248)CaDiCaL version: 2.1.3
% 0.40/0.49 % (1737248)Termination reason: Instruction limit
% 0.40/0.49 % (1737248)Termination phase: shuffling
% 0.40/0.49 % (1737248)Time elapsed: 0.003 s
% 0.40/0.49 % (1737248)Peak memory usage: 10 MB
% 0.40/0.49 % (1737248)Instructions burned: 13 (million)
% 1.17/0.55 % (1737238)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.17/0.55 % (1737238)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
% 1.17/0.55 % (1737250)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
% 1.17/0.55 % (1737250)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.55 % (1737250)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=728062310:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.17/0.55 % (1737237)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4140061171:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.17/0.55 % (1737234)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3790402274:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.17/0.55 % (1737238)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=743882451:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.17/0.55 % (1737236)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3329579957:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.17/0.55 % (1737234)Instruction limit reached!
% 1.17/0.55 % (1737234)------------------------------
% 1.17/0.55 % (1737234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.55 % (1737234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.55 % (1737234)CaDiCaL version: 2.1.3
% 1.17/0.55 % (1737234)Termination reason: Instruction limit
% 1.17/0.55 % (1737234)Termination phase: shuffling
% 1.17/0.55 % (1737234)Time elapsed: 0.004 s
% 1.17/0.55 % (1737234)Peak memory usage: 10 MB
% 1.17/0.55 % (1737234)Instructions burned: 4 (million)
% 1.17/0.55 % (1737250)Instruction limit reached!
% 1.17/0.55 % (1737250)------------------------------
% 1.17/0.55 % (1737250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.55 % (1737250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.55 % (1737250)CaDiCaL version: 2.1.3
% 1.17/0.55 % (1737250)Termination reason: Instruction limit
% 1.17/0.55 % (1737250)Termination phase: shuffling
% 1.17/0.55 % (1737250)Time elapsed: 0.007 s
% 1.17/0.55 % (1737250)Peak memory usage: 10 MB
% 1.17/0.55 % (1737250)Instructions burned: 31 (million)
% 1.17/0.55 % (1737232)Instruction limit reached!
% 1.17/0.55 % (1737232)------------------------------
% 1.17/0.55 % (1737232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.55 % (1737232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.55 % (1737232)CaDiCaL version: 2.1.3
% 1.17/0.55 % (1737232)Termination reason: Instruction limit
% 1.17/0.55 % (1737232)Termination phase: Preprocessing 3
% 1.17/0.55 % (1737232)Time elapsed: 0.075 s
% 1.17/0.55 % (1737232)Peak memory usage: 12 MB
% 1.17/0.55 % (1737232)Instructions burned: 87 (million)
% 1.17/0.55 % (1737257)lrs+10_1_si=on:cs=on:random_seed=3786129817:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.17/0.55 % (1737257)Instruction limit reached!
% 1.17/0.55 % (1737257)------------------------------
% 1.17/0.55 % (1737257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.55 % (1737257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.55 % (1737257)CaDiCaL version: 2.1.3
% 1.17/0.55 % (1737257)Termination reason: Instruction limit
% 1.17/0.55 % (1737257)Termination phase: shuffling
% 1.17/0.55 % (1737257)Time elapsed: 0.002 s
% 1.17/0.55 % (1737257)Peak memory usage: 10 MB
% 1.17/0.55 % (1737257)Instructions burned: 9 (million)
% 1.17/0.55 % (1737236)Instruction limit reached!
% 1.17/0.55 % (1737236)------------------------------
% 1.17/0.55 % (1737236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.55 % (1737236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737236)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737236)Termination reason: Instruction limit
% 1.17/0.60 % (1737236)Termination phase: shuffling
% 1.17/0.60 % (1737236)Time elapsed: 0.021 s
% 1.17/0.60 % (1737236)Peak memory usage: 11 MB
% 1.17/0.60 % (1737236)Instructions burned: 25 (million)
% 1.17/0.60 % (1737260)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=437006901:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.17/0.60 % (1737260)Instruction limit reached!
% 1.17/0.60 % (1737260)------------------------------
% 1.17/0.60 % (1737260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.60 % (1737260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737260)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737260)Termination reason: Instruction limit
% 1.17/0.60 % (1737260)Termination phase: Property scanning
% 1.17/0.60 % (1737260)Time elapsed: 0.010 s
% 1.17/0.60 % (1737260)Peak memory usage: 11 MB
% 1.17/0.60 % (1737260)Instructions burned: 43 (million)
% 1.17/0.60 % (1737263)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=878313454:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.17/0.60 % (1737256)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=2925878899:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.17/0.60 % (1737261)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3738267716:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.17/0.60 % (1737258)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.17/0.60 % (1737263)Instruction limit reached!
% 1.17/0.60 % (1737263)------------------------------
% 1.17/0.60 % (1737263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.60 % (1737263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737263)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737263)Termination reason: Instruction limit
% 1.17/0.60 % (1737263)Termination phase: Property scanning
% 1.17/0.60 % (1737263)Time elapsed: 0.007 s
% 1.17/0.60 % (1737263)Peak memory usage: 11 MB
% 1.17/0.60 % (1737263)Instructions burned: 29 (million)
% 1.17/0.60 % (1737266)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4224639999:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.17/0.60 % (1737258)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=336927970:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.17/0.60 % (1737266)Instruction limit reached!
% 1.17/0.60 % (1737266)------------------------------
% 1.17/0.60 % (1737266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.60 % (1737266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737266)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737266)Termination reason: Instruction limit
% 1.17/0.60 % (1737266)Termination phase: shuffling
% 1.17/0.60 % (1737266)Time elapsed: 0.004 s
% 1.17/0.60 % (1737266)Peak memory usage: 10 MB
% 1.17/0.60 % (1737266)Instructions burned: 18 (million)
% 1.17/0.60 % (1737258)Instruction limit reached!
% 1.17/0.60 % (1737258)------------------------------
% 1.17/0.60 % (1737258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.60 % (1737258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737258)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737258)Termination reason: Instruction limit
% 1.17/0.60 % (1737258)Termination phase: shuffling
% 1.17/0.60 % (1737258)Time elapsed: 0.003 s
% 1.17/0.60 % (1737258)Peak memory usage: 10 MB
% 1.17/0.60 % (1737258)Instructions burned: 2 (million)
% 1.17/0.60 % (1737238)Instruction limit reached!
% 1.17/0.60 % (1737238)------------------------------
% 1.17/0.60 % (1737238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.60 % (1737238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.60 % (1737238)CaDiCaL version: 2.1.3
% 1.17/0.60 % (1737238)Termination reason: Instruction limit
% 1.17/0.60 % (1737238)Termination phase: Property scanning
% 1.17/0.60 % (1737238)Time elapsed: 0.079 s
% 1.79/0.68 % (1737238)Peak memory usage: 13 MB
% 1.79/0.68 % (1737238)Instructions burned: 158 (million)
% 1.79/0.68 % (1737270)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=941573882:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 1.79/0.68 % (1737272)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1611125579:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.79/0.68 % (1737237)Instruction limit reached!
% 1.79/0.68 % (1737237)------------------------------
% 1.79/0.68 % (1737237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.68 % (1737237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.68 % (1737237)CaDiCaL version: 2.1.3
% 1.79/0.68 % (1737237)Termination reason: Instruction limit
% 1.79/0.68 % (1737237)Termination phase: Preprocessing 3
% 1.79/0.68 % (1737237)Time elapsed: 0.102 s
% 1.79/0.68 % (1737237)Peak memory usage: 12 MB
% 1.79/0.68 % (1737237)Instructions burned: 76 (million)
% 1.79/0.68 % (1737272)Instruction limit reached!
% 1.79/0.68 % (1737272)------------------------------
% 1.79/0.68 % (1737272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.68 % (1737272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.68 % (1737272)CaDiCaL version: 2.1.3
% 1.79/0.68 % (1737272)Termination reason: Instruction limit
% 1.79/0.68 % (1737272)Termination phase: shuffling
% 1.79/0.68 % (1737272)Time elapsed: 0.002 s
% 1.79/0.68 % (1737272)Peak memory usage: 10 MB
% 1.79/0.68 % (1737272)Instructions burned: 3 (million)
% 1.79/0.68 % (1737275)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1216935849:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.79/0.68 % (1737276)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3838768427:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.79/0.68 % (1737275)Instruction limit reached!
% 1.79/0.68 % (1737275)------------------------------
% 1.79/0.68 % (1737275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.68 % (1737275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.68 % (1737275)CaDiCaL version: 2.1.3
% 1.79/0.68 % (1737275)Termination reason: Instruction limit
% 1.79/0.68 % (1737275)Termination phase: shuffling
% 1.79/0.68 % (1737275)Time elapsed: 0.006 s
% 1.79/0.68 % (1737275)Peak memory usage: 10 MB
% 1.79/0.68 % (1737275)Instructions burned: 27 (million)
% 1.79/0.68 % (1737271)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=167895846:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.79/0.68 % (1737256)Instruction limit reached!
% 1.79/0.68 % (1737256)------------------------------
% 1.79/0.68 % (1737256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.68 % (1737256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.68 % (1737256)CaDiCaL version: 2.1.3
% 1.79/0.68 % (1737256)Termination reason: Instruction limit
% 1.79/0.68 % (1737256)Termination phase: Property scanning
% 1.79/0.68 % (1737256)Time elapsed: 0.075 s
% 1.79/0.68 % (1737256)Peak memory usage: 11 MB
% 1.79/0.68 % (1737256)Instructions burned: 86 (million)
% 1.79/0.68 % (1737276)Instruction limit reached!
% 1.79/0.68 % (1737276)------------------------------
% 1.79/0.68 % (1737276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.68 % (1737276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.68 % (1737276)CaDiCaL version: 2.1.3
% 1.79/0.68 % (1737276)Termination reason: Instruction limit
% 1.79/0.68 % (1737276)Termination phase: shuffling
% 1.79/0.68 % (1737276)Time elapsed: 0.011 s
% 1.79/0.68 % (1737276)Peak memory usage: 10 MB
% 1.79/0.68 % (1737276)Instructions burned: 24 (million)
% 1.79/0.68 % (1737281)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.79/0.68 % (1737281)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.79/0.68 % (1737281)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=2220940188:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.79/0.74 % (1737281)Instruction limit reached!
% 1.79/0.74 % (1737281)------------------------------
% 1.79/0.74 % (1737281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.74 % (1737281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.74 % (1737281)CaDiCaL version: 2.1.3
% 1.79/0.74 % (1737281)Termination reason: Instruction limit
% 1.79/0.74 % (1737281)Termination phase: shuffling
% 1.79/0.74 % (1737281)Time elapsed: 0.004 s
% 1.79/0.74 % (1737281)Peak memory usage: 10 MB
% 1.79/0.74 % (1737281)Instructions burned: 16 (million)
% 1.79/0.74 % (1737271)Instruction limit reached!
% 1.79/0.74 % (1737271)------------------------------
% 1.79/0.74 % (1737271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.74 % (1737271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.74 % (1737271)CaDiCaL version: 2.1.3
% 1.79/0.74 % (1737271)Termination reason: Instruction limit
% 1.79/0.74 % (1737271)Termination phase: shuffling
% 1.79/0.74 % (1737271)Time elapsed: 0.022 s
% 1.79/0.74 % (1737271)Peak memory usage: 10 MB
% 1.79/0.74 % (1737271)Instructions burned: 16 (million)
% 1.79/0.74 % (1737282)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.79/0.74 % (1737282)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=757430443:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.79/0.74 % (1737282)Instruction limit reached!
% 1.79/0.74 % (1737282)------------------------------
% 1.79/0.74 % (1737282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.74 % (1737282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.74 % (1737282)CaDiCaL version: 2.1.3
% 1.79/0.74 % (1737282)Termination reason: Instruction limit
% 1.79/0.74 % (1737282)Termination phase: shuffling
% 1.79/0.74 % (1737282)Time elapsed: 0.005 s
% 1.79/0.74 % (1737282)Peak memory usage: 10 MB
% 1.79/0.74 % (1737282)Instructions burned: 10 (million)
% 1.79/0.74 % (1737284)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=416123809:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.79/0.74 % (1737285)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1649062207:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.79/0.74 % (1737285)Instruction limit reached!
% 1.79/0.74 % (1737285)------------------------------
% 1.79/0.74 % (1737285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.74 % (1737285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.74 % (1737285)CaDiCaL version: 2.1.3
% 1.79/0.74 % (1737285)Termination reason: Instruction limit
% 1.79/0.74 % (1737285)Termination phase: shuffling
% 1.79/0.74 % (1737285)Time elapsed: 0.003 s
% 1.79/0.74 % (1737285)Peak memory usage: 10 MB
% 1.79/0.74 % (1737285)Instructions burned: 14 (million)
% 1.79/0.74 % (1737290)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3469478352:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.79/0.74 % (1737279)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2984029928:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.79/0.74 % (1737287)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1542818815:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.79/0.74 % (1737290)Instruction limit reached!
% 1.79/0.74 % (1737290)------------------------------
% 1.79/0.74 % (1737290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.74 % (1737290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.74 % (1737290)CaDiCaL version: 2.1.3
% 1.79/0.74 % (1737290)Termination reason: Instruction limit
% 1.79/0.74 % (1737290)Termination phase: shuffling
% 1.79/0.74 % (1737290)Time elapsed: 0.005 s
% 1.79/0.74 % (1737290)Peak memory usage: 10 MB
% 1.79/0.74 % (1737290)Instructions burned: 22 (million)
% 1.79/0.74 % (1737284)Instruction limit reached!
% 1.79/0.74 % (1737284)------------------------------
% 1.79/0.74 % (1737284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737284)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737284)Termination reason: Instruction limit
% 2.64/0.86 % (1737284)Termination phase: shuffling
% 2.64/0.86 % (1737284)Time elapsed: 0.026 s
% 2.64/0.86 % (1737284)Peak memory usage: 10 MB
% 2.64/0.86 % (1737284)Instructions burned: 31 (million)
% 2.64/0.86 % (1737287)Instruction limit reached!
% 2.64/0.86 % (1737287)------------------------------
% 2.64/0.86 % (1737287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737287)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737287)Termination reason: Instruction limit
% 2.64/0.86 % (1737287)Termination phase: shuffling
% 2.64/0.86 % (1737287)Time elapsed: 0.010 s
% 2.64/0.86 % (1737287)Peak memory usage: 10 MB
% 2.64/0.86 % (1737287)Instructions burned: 23 (million)
% 2.64/0.86 % (1737294)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=852972333:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.64/0.86 % (1737296)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=877447173:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.64/0.86 % (1737295)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4064091402:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.64/0.86 % (1737279)Instruction limit reached!
% 2.64/0.86 % (1737279)------------------------------
% 2.64/0.86 % (1737279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737279)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737279)Termination reason: Instruction limit
% 2.64/0.86 % (1737279)Termination phase: Preprocessing 3
% 2.64/0.86 % (1737279)Time elapsed: 0.056 s
% 2.64/0.86 % (1737279)Peak memory usage: 11 MB
% 2.64/0.86 % (1737279)Instructions burned: 60 (million)
% 2.64/0.86 % (1737295)Instruction limit reached!
% 2.64/0.86 % (1737295)------------------------------
% 2.64/0.86 % (1737295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737295)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737295)Termination reason: Instruction limit
% 2.64/0.86 % (1737295)Termination phase: Property scanning
% 2.64/0.86 % (1737295)Time elapsed: 0.032 s
% 2.64/0.86 % (1737295)Peak memory usage: 12 MB
% 2.64/0.86 % (1737295)Instructions burned: 144 (million)
% 2.64/0.86 % (1737261)Instruction limit reached!
% 2.64/0.86 % (1737261)------------------------------
% 2.64/0.86 % (1737261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737261)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737261)Termination reason: Instruction limit
% 2.64/0.86 % (1737261)Termination phase: Saturation
% 2.64/0.86 % (1737261)Time elapsed: 0.194 s
% 2.64/0.86 % (1737261)Peak memory usage: 15 MB
% 2.64/0.86 % (1737261)Instructions burned: 251 (million)
% 2.64/0.86 % (1737301)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.64/0.86 % (1737301)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2740245511:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.64/0.86 % (1737300)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1054924451:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.64/0.86 % (1737301)Instruction limit reached!
% 2.64/0.86 % (1737301)------------------------------
% 2.64/0.86 % (1737301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.86 % (1737301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.86 % (1737301)CaDiCaL version: 2.1.3
% 2.64/0.86 % (1737301)Termination reason: Instruction limit
% 2.64/0.86 % (1737301)Termination phase: shuffling
% 2.64/0.86 % (1737301)Time elapsed: 0.002 s
% 2.64/0.86 % (1737301)Peak memory usage: 10 MB
% 2.64/0.86 % (1737301)Instructions burned: 8 (million)
% 2.64/0.86 % (1737305)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=3909647794:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.64/0.88 % (1737300)Instruction limit reached!
% 2.64/0.88 % (1737300)------------------------------
% 2.64/0.88 % (1737300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737300)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737300)Termination reason: Instruction limit
% 2.64/0.88 % (1737300)Termination phase: Property scanning
% 2.64/0.88 % (1737300)Time elapsed: 0.019 s
% 2.64/0.88 % (1737300)Peak memory usage: 11 MB
% 2.64/0.88 % (1737300)Instructions burned: 44 (million)
% 2.64/0.88 % (1737302)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1425063189:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.64/0.88 % (1737307)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.64/0.88 % (1737296)Instruction limit reached!
% 2.64/0.88 % (1737296)------------------------------
% 2.64/0.88 % (1737296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737296)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737296)Termination reason: Instruction limit
% 2.64/0.88 % (1737296)Termination phase: Saturation
% 2.64/0.88 % (1737296)Time elapsed: 0.081 s
% 2.64/0.88 % (1737296)Peak memory usage: 13 MB
% 2.64/0.88 % (1737296)Instructions burned: 194 (million)
% 2.64/0.88 % (1737307)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3662767875:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 2.64/0.88 % (1737307)Instruction limit reached!
% 2.64/0.88 % (1737307)------------------------------
% 2.64/0.88 % (1737307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737307)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737307)Termination reason: Instruction limit
% 2.64/0.88 % (1737307)Termination phase: shuffling
% 2.64/0.88 % (1737307)Time elapsed: 0.004 s
% 2.64/0.88 % (1737307)Peak memory usage: 10 MB
% 2.64/0.88 % (1737307)Instructions burned: 8 (million)
% 2.64/0.88 % (1737305)Instruction limit reached!
% 2.64/0.88 % (1737305)------------------------------
% 2.64/0.88 % (1737305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737305)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737305)Termination reason: Instruction limit
% 2.64/0.88 % (1737305)Termination phase: Saturation
% 2.64/0.88 % (1737305)Time elapsed: 0.037 s
% 2.64/0.88 % (1737305)Peak memory usage: 13 MB
% 2.64/0.88 % (1737305)Instructions burned: 170 (million)
% 2.64/0.88 % (1737309)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3836832893:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.64/0.88 % (1737312)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=994534130:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.64/0.88 % (1737311)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3463873360:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.64/0.88 % (1737270)Instruction limit reached!
% 2.64/0.88 % (1737270)------------------------------
% 2.64/0.88 % (1737270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737270)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737270)Termination reason: Instruction limit
% 2.64/0.88 % (1737270)Termination phase: Saturation
% 2.64/0.88 % (1737270)Time elapsed: 0.239 s
% 2.64/0.88 % (1737270)Peak memory usage: 15 MB
% 2.64/0.88 % (1737270)Instructions burned: 327 (million)
% 2.64/0.88 % (1737309)Instruction limit reached!
% 2.64/0.88 % (1737309)------------------------------
% 2.64/0.88 % (1737309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737309)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737309)Termination reason: Instruction limit
% 2.64/0.88 % (1737309)Termination phase: shuffling
% 2.64/0.88 % (1737309)Time elapsed: 0.011 s
% 2.64/0.88 % (1737309)Peak memory usage: 10 MB
% 2.64/0.88 % (1737309)Instructions burned: 24 (million)
% 2.64/0.88 % (1737311)Instruction limit reached!
% 2.64/0.88 % (1737311)------------------------------
% 2.64/0.88 % (1737311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737311)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737311)Termination reason: Instruction limit
% 2.64/0.88 % (1737311)Termination phase: shuffling
% 2.64/0.88 % (1737311)Time elapsed: 0.010 s
% 2.64/0.88 % (1737311)Peak memory usage: 10 MB
% 2.64/0.88 % (1737311)Instructions burned: 20 (million)
% 2.64/0.88 % (1737316)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=158682905:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.64/0.88 % (1737318)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2988979917:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.64/0.88 % (1737317)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=1571166580:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.64/0.88 % (1737317)Instruction limit reached!
% 2.64/0.88 % (1737317)------------------------------
% 2.64/0.88 % (1737317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737317)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737317)Termination reason: Instruction limit
% 2.64/0.88 % (1737317)Termination phase: Property scanning
% 2.64/0.88 % (1737317)Time elapsed: 0.037 s
% 2.64/0.88 % (1737317)Peak memory usage: 11 MB
% 2.64/0.88 % (1737317)Instructions burned: 45 (million)
% 2.64/0.88 % (1737312)Instruction limit reached!
% 2.64/0.88 % (1737312)------------------------------
% 2.64/0.88 % (1737312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737312)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737312)Termination reason: Instruction limit
% 2.64/0.88 % (1737312)Termination phase: Saturation
% 2.64/0.88 % (1737312)Time elapsed: 0.082 s
% 2.64/0.88 % (1737312)Peak memory usage: 15 MB
% 2.64/0.88 % (1737312)Instructions burned: 316 (million)
% 2.64/0.88 % (1737323)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.64/0.88 % (1737323)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4232650034:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 2.64/0.88 % (1737302)Instruction limit reached!
% 2.64/0.88 % (1737302)------------------------------
% 2.64/0.88 % (1737302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737302)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737302)Termination reason: Instruction limit
% 2.64/0.88 % (1737302)Termination phase: Saturation
% 2.64/0.88 % (1737302)Time elapsed: 0.141 s
% 2.64/0.88 % (1737302)Peak memory usage: 13 MB
% 2.64/0.88 % (1737302)Instructions burned: 182 (million)
% 2.64/0.88 % (1737325)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1561419326:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 2.64/0.88 % (1737322)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=610611279:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 2.64/0.88 % (1737235) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1737227-1737235"...
% 2.64/0.88 % (1737325)Instruction limit reached!
% 2.64/0.88 % (1737325)------------------------------
% 2.64/0.88 % (1737325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737325)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737325)Termination reason: Instruction limit
% 2.64/0.88 % (1737325)Termination phase: shuffling
% 2.64/0.88 % (1737325)Time elapsed: 0.007 s
% 2.64/0.88 % (1737325)Peak memory usage: 10 MB
% 2.64/0.88 % (1737325)Instructions burned: 15 (million)
% 2.64/0.88 % (1737322)Instruction limit reached!
% 2.64/0.88 % (1737322)------------------------------
% 2.64/0.88 % (1737322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737322)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737322)Termination reason: Instruction limit
% 2.64/0.88 % (1737322)Termination phase: shuffling
% 2.64/0.88 % (1737322)Time elapsed: 0.017 s
% 2.64/0.88 % (1737322)Peak memory usage: 10 MB
% 2.64/0.88 % (1737322)Instructions burned: 22 (million)
% 2.64/0.88 % (1737235)...printing done.
% 2.64/0.88 % (1737323)Instruction limit reached!
% 2.64/0.88 % (1737323)------------------------------
% 2.64/0.88 % (1737323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.88 % (1737323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.88 % (1737323)CaDiCaL version: 2.1.3
% 2.64/0.88 % (1737323)Termination reason: Instruction limit
% 2.64/0.88 % (1737323)Termination phase: Saturation
% 2.64/0.88 % (1737323)Time elapsed: 0.055 s
% 2.64/0.88 % (1737323)Peak memory usage: 14 MB
% 2.64/0.88 % (1737323)Instructions burned: 200 (million)
% 2.64/0.88 % (1737235)Refutation found. Thanks to Tanya!
% 2.64/0.88 % SZS status Theorem for theBenchmark
% 2.64/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.89 % (1737235)------------------------------
% 2.64/0.89 % (1737235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.89 % (1737235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.89 % (1737235)CaDiCaL version: 2.1.3
% 2.64/0.89 % (1737235)Termination reason: Refutation
% 2.64/0.89 % (1737235)Time elapsed: 0.521 s
% 2.64/0.89 % (1737235)Peak memory usage: 22 MB
% 2.64/0.89 % (1737235)Instructions burned: 576 (million)
% 2.64/0.89 % (1737227)Success in time 0.606 s
% 2.64/0.89 % Vampire exiting
%------------------------------------------------------------------------------