%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU734^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:01 AM UTC 2026
% Result : Theorem 2.53s 0.78s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 18 unt; 0 typ; 2 def)
% Number of atoms : 4352 (1157 equ; 0 cnn)
% Maximal formula atoms : 253 ( 71 avg)
% Number of connectives : 2494 ( 89 ~; 78 |; 780 &; 516 @)
% ( 8 <=>;1023 =>; 0 <=; 0 <~>)
% Maximal formula depth : 261 ( 33 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 487 ( 484 usr; 287 con; 0-4 aty)
% Number of variables : 99 ( 0 sgn 77 !; 22 ?; 99 :)
% 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_291,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_292,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_293,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_294,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_295,type,
vAND: $o > $o > $o ).
thf(func_def_296,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_297,type,
vIMP: $o > $o > $o ).
thf(func_def_298,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_299,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_300,type,
vOR: $o > $o > $o ).
thf(func_def_301,type,
vNOT: $o > $o ).
thf(func_def_302,type,
sP0: $o ).
thf(func_def_303,type,
sP1: $o ).
thf(func_def_304,type,
sP2: $i > $i > $o ).
thf(func_def_305,type,
sP3: $i > $o ).
thf(func_def_306,type,
sP4: $i > $i > $o ).
thf(func_def_307,type,
sP5: $i > $i > $o ).
thf(func_def_308,type,
sP6: $o ).
thf(func_def_309,type,
sP7: $o ).
thf(func_def_310,type,
sP8: $o > $i > $i > $i > $o ).
thf(func_def_311,type,
sP9: $i > $i > $i > $o ).
thf(func_def_312,type,
sP10: $i > $i > $i > $i > $o ).
thf(func_def_313,type,
sP11: $o ).
thf(func_def_315,type,
sK13: $o ).
thf(func_def_319,type,
sK17: $o ).
thf(func_def_330,type,
sK28: $i > $i > $o ).
thf(func_def_331,type,
sK29: $i > $i ).
thf(func_def_332,type,
sK30: $i > $i ).
thf(func_def_333,type,
sK31: ( $i > $i > $o ) > $i > $i ).
thf(func_def_334,type,
sK32: ( $i > $i > $o ) > $i > $i ).
thf(func_def_335,type,
sK33: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_339,type,
sK37: $i > $o ).
thf(func_def_345,type,
sK43: $i > $i ).
thf(func_def_349,type,
sK47: $i > $o ).
thf(func_def_354,type,
sK52: $i > $i > $i > $i ).
thf(func_def_361,type,
sK59: $i > $i > $o ).
thf(func_def_366,type,
sK64: $i > $i > $i ).
thf(func_def_381,type,
sK79: $i > $i > $o ).
thf(func_def_386,type,
sK84: $i > $i > $i ).
thf(func_def_393,type,
sK91: $i > $i ).
thf(func_def_396,type,
sK94: $i > $i > ( $i > $i ) > $i ).
thf(func_def_399,type,
sK97: $i > $i > $i ).
thf(func_def_405,type,
sK103: $i > $o ).
thf(func_def_407,type,
sK105: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_408,type,
sK106: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_413,type,
sK111: $i > ( $i > $o ) > $i ).
thf(func_def_414,type,
sK112: $i > $o ).
thf(func_def_418,type,
sK116: $i > $o ).
thf(func_def_420,type,
sK118: ( $i > $o ) > $i ).
thf(func_def_421,type,
sK119: ( $i > $o ) > $i ).
thf(func_def_441,type,
sK139: $i > $o ).
thf(func_def_443,type,
sK141: ( $i > $o ) > $i > $i ).
thf(func_def_444,type,
sK142: ( $i > $o ) > $i > $i ).
thf(func_def_447,type,
sK145: $o ).
thf(func_def_455,type,
sK153: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_456,type,
sK154: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_460,type,
sK158: $i > $o ).
thf(func_def_464,type,
sK162: $i > $i > $i ).
thf(func_def_467,type,
sK165: $i > $i > $i ).
thf(func_def_491,type,
sK189: $i > $i ).
thf(func_def_494,type,
sK192: $i > $i ).
thf(func_def_495,type,
sK193: $i > $i > $i > $i > $i ).
thf(func_def_496,type,
sK194: $i > $i > $i > $i > $i ).
thf(func_def_505,type,
sK203: $i > $i ).
thf(func_def_517,type,
sK215: $i > $o ).
thf(func_def_518,type,
sK216: $i > $o ).
thf(func_def_519,type,
sK217: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_520,type,
sK218: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_522,type,
sK220: $i > ( $i > $i ) > $i > $i ).
thf(func_def_524,type,
sK222: $i > $i ).
thf(func_def_530,type,
sK228: $o ).
thf(func_def_538,type,
sK236: $o ).
thf(func_def_551,type,
sK249: ( $i > $o ) > $i > $i ).
thf(func_def_553,type,
sK251: $i > $o ).
thf(func_def_555,type,
sK253: $i > ( $i > $o ) > $i ).
thf(func_def_556,type,
sK254: $i > $o ).
thf(func_def_563,type,
sK261: $i > $o ).
thf(func_def_578,type,
sK276: $i > $i > $i ).
thf(func_def_579,type,
sK277: $i > $i > $i ).
thf(func_def_580,type,
sK278: $i > $i > $i ).
thf(func_def_581,type,
sK279: $i > $i > $i ).
thf(func_def_582,type,
sK280: $i > $i > $i ).
thf(func_def_583,type,
sK281: $i > $i > $i > $i ).
thf(func_def_584,type,
sK282: $i > $i ).
thf(func_def_585,type,
sK283: $i > $i ).
thf(func_def_586,type,
sK284: $i > $i ).
thf(func_def_587,type,
sK285: $i > $i ).
thf(func_def_588,type,
sK286: $i > $i > $i ).
thf(func_def_589,type,
sK287: $i > $i > $i > $i ).
thf(func_def_590,type,
sK288: $i > $i > $i > $i ).
thf(func_def_591,type,
sK289: $i > $i > $i ).
thf(func_def_592,type,
sK290: $i > $i > $i ).
thf(func_def_593,type,
sK291: $i > $i ).
thf(func_def_595,type,
sK293: $i > $i ).
thf(func_def_596,type,
sK294: $i > $i ).
thf(func_def_603,type,
sK301: $i > $i > $i > $i > $i ).
thf(func_def_604,type,
sK302: $i > $i ).
thf(func_def_609,type,
sK307: $o ).
thf(func_def_622,type,
sK320: $i > ( $i > $o ) > $i ).
thf(func_def_623,type,
sK321: $i > $o ).
thf(func_def_631,type,
sK329: $i > $o ).
thf(func_def_638,type,
sK336: ( $i > $o ) > $i ).
thf(func_def_639,type,
sK337: $i > $o ).
thf(func_def_659,type,
sK357: $o ).
thf(func_def_662,type,
sK360: $i > $o ).
thf(func_def_663,type,
sK361: $i > $i ).
thf(func_def_664,type,
sK362: ( $i > $o ) > $i ).
thf(func_def_669,type,
sK367: $i > $i > $i > $i > $i ).
thf(func_def_701,type,
sK399: $o ).
thf(func_def_704,type,
sK402: $o ).
thf(func_def_711,type,
sK409: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_712,type,
sK410: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_713,type,
sK411: $i > $o ).
thf(func_def_714,type,
sK412: $i > $o ).
thf(func_def_718,type,
sK416: $i > $i > $o ).
thf(func_def_724,type,
sK422: ( $i > $i ) > $i > $i > $i ).
thf(func_def_727,type,
sK425: $i > $i ).
thf(func_def_734,type,
sK432: $i > $o ).
thf(func_def_742,type,
sK440: $o ).
thf(func_def_749,type,
sK447: $i > $o ).
thf(func_def_751,type,
sK449: $o ).
thf(func_def_756,type,
sK454: $i > $i > $o ).
thf(func_def_759,type,
sK457: $i > $o ).
thf(func_def_760,type,
sK458: $i > $i ).
thf(func_def_761,type,
sK459: ( $i > $o ) > $i ).
thf(func_def_769,type,
sK467: $i > $o ).
thf(func_def_775,type,
sK473: $i > $o ).
thf(func_def_784,type,
sK482: $o ).
thf(func_def_785,type,
sK483: $o > $i > $i > $i ).
thf(func_def_798,type,
sK496: $i > $o ).
thf(func_def_801,type,
sK499: $i > ( $i > $o ) > $i ).
thf(func_def_802,type,
sK500: $i > ( $i > $o ) > $i ).
thf(func_def_809,type,
sK507: $o ).
thf(func_def_814,type,
sK512: $o ).
thf(func_def_819,type,
sK517: $i > $i > $o ).
thf(func_def_822,type,
sK520: $i > ( $i > $o ) > $i ).
thf(func_def_823,type,
sK521: $i > $o ).
thf(func_def_829,type,
sK527: $i > $i > $i > $i > $i ).
thf(func_def_833,type,
sK531: $i > $i > $i > $i ).
thf(func_def_834,type,
sK532: $i > $i > $i > $i ).
thf(func_def_842,type,
sK540: $i > $i > $o ).
thf(func_def_854,type,
sK552: $i > $i ).
thf(func_def_856,type,
sK554: $i > ( $i > $i ) > $i > $i ).
thf(func_def_857,type,
sK555: $i > $i > $i ).
thf(func_def_864,type,
sK562: $i > $i > $i ).
thf(func_def_874,type,
sK572: $i > $o ).
thf(func_def_887,type,
sK585: $o ).
thf(func_def_889,type,
sK587: $i > $i ).
thf(func_def_893,type,
sK591: $o ).
thf(func_def_914,type,
sK612: $i > $i > $i > $i ).
thf(func_def_926,type,
sK624: $i > $i ).
thf(func_def_928,type,
sK626: $i > ( $i > $i ) > $i > $i ).
thf(func_def_936,type,
sK634: $i > $o ).
thf(func_def_937,type,
sK635: ( $i > $o ) > $i > $i ).
thf(func_def_946,type,
sK644: $i > $o ).
thf(func_def_959,type,
sK657: $i > $o ).
thf(func_def_961,type,
sK659: ( $i > $o ) > $i > $i ).
thf(func_def_964,type,
sK662: $i > $i > $i ).
thf(func_def_965,type,
sK663: $i > $i > $i ).
thf(func_def_966,type,
sK664: ( $i > $o ) > $i > $i ).
thf(func_def_968,type,
sK666: $i > $o ).
thf(func_def_980,type,
sK678: $i > $i ).
thf(func_def_992,type,
sK690: $i > $i > $o ).
thf(func_def_1002,type,
sK700: $i > $i > $i > $i ).
thf(func_def_1003,type,
sK701: $i > $i > $i > $i ).
thf(func_def_1016,type,
sK714: $o ).
thf(func_def_1031,type,
sK729: $i > $i > $i > $i > $i ).
thf(func_def_1032,type,
sK730: $i > $i > $i > $i > $i ).
thf(func_def_1033,type,
sK731: $i > $i > $i > $i > $i ).
thf(func_def_1034,type,
sK732: $i > $i > $i > $i > $i ).
thf(func_def_1036,type,
sK734: $i > $o ).
thf(func_def_1037,type,
sK735: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1039,type,
sK737: $i > $i ).
thf(func_def_1041,type,
sK739: $i > ( $i > $o ) > $i ).
thf(func_def_1042,type,
sK740: $i > $o ).
thf(func_def_1050,type,
sK748: $i > $o ).
thf(func_def_1051,type,
sK749: $i > $o ).
thf(func_def_1052,type,
sK750: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1053,type,
sK751: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1064,type,
sK762: $i > $i > $i ).
thf(func_def_1075,type,
sK773: $i > $o ).
thf(func_def_1079,type,
sK777: $i > $o ).
thf(func_def_1081,type,
sK779: $i > ( $i > $o ) > $i > $i ).
thf(func_def_1082,type,
sK780: $i > $o ).
thf(f111,axiom,
! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= binintersectLsub ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectLsub) ).
thf(f231,axiom,
( binintersectT_lem
= ( ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectT_lem) ).
thf(f246,axiom,
! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ X2 )
=> ( subset @ ( setminus @ X0 @ X2 ) @ ( setminus @ X0 @ X1 ) ) ) ) )
= contrasubsetT2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contrasubsetT2) ).
thf(f255,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementSubsetComplementIntersect) ).
thf(f256,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f255]) ).
thf(f267,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( ( subset @ X0 @ X2 )
=> ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) ) ) ) )
= contrasubsetT2 ),
inference(rectify,[],[f246]) ).
thf(f268,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
=> ( ( ( subset @ X0 @ X2 )
= $true )
=> ( ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) )
= $true ) ) ) )
<=> ( contrasubsetT2 = $true ) ),
inference(fool_elimination,[],[f267]) ).
thf(f295,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= binintersectLsub ),
inference(rectify,[],[f111]) ).
thf(f296,plain,
( ( binintersectLsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true ) ),
inference(fool_elimination,[],[f295]) ).
thf(f400,plain,
( binintersectT_lem
= ( ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X1 ) ) ) ) ) ),
inference(rectify,[],[f231]) ).
thf(f401,plain,
( ( binintersectT_lem = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
=> ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X1 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f400]) ).
thf(f468,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f256]) ).
thf(f469,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 )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f468]) ).
thf(f877,plain,
( ( binintersectT_lem = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X1 ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f401]) ).
thf(f1005,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $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,[],[f469]) ).
thf(f1006,plain,
( ( emptysetimpfalse = $true )
& ( binunionIL = $true )
& ( binintersectSubset2 = $true )
& ( iftrueProp1 = $true )
& ( setadjoinSub2 = $true )
& ( setadjoin__Cong = $true )
& ( cartprodpairmemER = $true )
& ( subsetTI = $true )
& ( binintersectSubset4 = $true )
& ( emptyE1 = $true )
& ( kfstsingleton = $true )
& ( omega__Cong = $true )
& ( contrasubsetT2 = $true )
& ( disjointsetsI1 = $true )
& ( subset2powerset = $true )
& ( ksndpairEq = $true )
& ( singletonprop = $true )
& ( setukpairinjL = $true )
& ( app = $true )
& ( singletonsuniq = $true )
& ( funcinfuncset = $true )
& ( subsetE2 = $true )
& ( dsetconstrER = $true )
& ( dpsetconstrI = $true )
& ( bs114d = $true )
& ( sepSubset = $true )
& ( ifp = $true )
& ( wellorderingAx = $true )
& ( brelnall1 = $true )
& ( setminusER = $true )
& ( doubleComplementSub1 = $true )
& ( emptysetAx = $true )
& ( setminusSubset2 = $true )
& ( omegaIndAx = $true )
& ( cartprodsndpairEq = $true )
& ( subsetTrans = $true )
& ( subPowSU = $true )
& ( ex1I2 = $true )
& ( quantDeMorgan4 = $true )
& ( ifSingleton = $true )
& ( singletoninpowerset = $true )
& ( emptysetE = $true )
& ( eqimpsubset1 = $true )
& ( funcGraphProp2 = $true )
& ( dpsetconstrERa = $true )
& ( omega0Ax = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( setukpairinjR12 = $true )
& ( powersetI = $true )
& ( binunionLsub = $true )
& ( beta1 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( setminusI = $true )
& ( noeltsimpempty = $true )
& ( prop2set2propI = $true )
& ( descrp = $true )
& ( setadjoinIL = $true )
& ( lamp = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( emptyInPowerset = $true )
& ( setadjoinSub = $true )
& ( sepInPowerset = $true )
& ( symdiffI1 = $true )
& ( funcGraphProp4 = $true )
& ( theprop = $true )
& ( setoftrueEq = $true )
& ( binintersectRsub = $true )
& ( cartprodfstpairEq = $true )
& ( notequalI2 = $true )
& ( binintersectTERcontra = $true )
& ( replAx = $true )
& ( binintersectER = $true )
& ( notinsingleton = $true )
& ( exuEu = $true )
& ( powersetsubset = $true )
& ( contrasubsetT3 = $true )
& ( exuE1 = $true )
& ( setOfPairsIsBReln = $true )
& ( kpairsurjEq = $true )
& ( complementTnotintersectT = $true )
& ( setextAx = $true )
& ( lamProp = $true )
& ( setminusEL = $true )
& ( exuI3 = $true )
& ( ap2p = $true )
& ( powersetTE1 = $true )
& ( dsetconstrEL = $true )
& ( upairset2E = $true )
& ( exuI2 = $true )
& ( emptyinPowerset = $true )
& ( exuI1 = $true )
& ( setminusSubset1 = $true )
& ( setukpairinjR1 = $true )
& ( dpsetconstrEL1 = $true )
& ( omegaSAx = $true )
& ( powersetI1 = $true )
& ( quantDeMorgan2 = $true )
& ( ap2apEq2 = $true )
& ( setukpairinjL2 = $true )
& ( setunionsingleton = $true )
& ( exu__Cong = $true )
& ( binunionT_lem = $true )
& ( exuE2 = $true )
& ( exuE3u = $true )
& ( setunionsingleton1 = $true )
& ( eta1 = $true )
& ( nonemptyImpWitness = $true )
& ( binunionIR = $true )
& ( prop2setE = $true )
& ( binunionEcases = $true )
& ( nonemptyE1 = $true )
& ( setminusELneg = $true )
& ( setunion__Cong = $true )
& ( setunionsingleton2 = $true )
& ( iffalse = $true )
& ( singletonsubset = $true )
& ( upairsetIL = $true )
& ( dpsetconstrEL2 = $true )
& ( prop2setI = $true )
& ( funcext = $true )
& ( singletonsswitch = $true )
& ( iftrueProp2 = $true )
& ( symdiffIneg1 = $true )
& ( setunionAx = $true )
& ( binintersectTELcontra = $true )
& ( ubforcartprodlem2 = $true )
& ( emptyset__Cong = $true )
& ( cartprodpairmemEL = $true )
& ( setminusERneg = $true )
& ( funcGraphProp1 = $true )
& ( dpsetconstrSub = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR = $true )
& ( foundationAx = $true )
& ( complementTI1 = $true )
& ( complementTE1 = $true )
& ( funcextLem = $true )
& ( lam2lamEq = $true )
& ( nonemptyI = $true )
& ( subsetE = $true )
& ( dsetconstrI = $true )
& ( descr__Cong = $true )
& ( subbreln = $true )
& ( iftrueorfalse = $true )
& ( doubleComplementSub2 = $true )
& ( apProp = $true )
& ( cartprodpairsurjEq = $true )
& ( funcImageSingleton = $true )
& ( notdexE = $true )
& ( upairequniteq = $true )
& ( emptyinunitempty = $true )
& ( setukpairIL = $true )
& ( funcGraphProp3 = $true )
& ( lam2p = $true )
& ( setext = $true )
& ( setminusLsub = $true )
& ( eqimpsubset2 = $true )
& ( setminusILneg = $true )
& ( subsetRefl = $true )
& ( binunionRsub = $true )
& ( cartprodmempair1 = $true )
& ( dsetconstr__Cong = $true )
& ( doubleComplementE1 = $true )
& ( infuncsetfunc = $true )
& ( exuE3e = $true )
& ( vacuousDall = $true )
& ( cartprodpairin = $true )
& ( setukpairinjR11 = $true )
& ( setminusT_lem = $true )
& ( binintersectI = $true )
& ( funcext2 = $true )
& ( powersetE = $true )
& ( emptyI = $true )
& ( cartprodfstin = $true )
& ( binintersectSubset5 = $true )
& ( beta2 = $true )
& ( setminusIRneg = $true )
& ( setukpairIR = $true )
& ( setextT = $true )
& ( symdiffI2 = $true )
& ( brelnall2 = $true )
& ( setbeta = $true )
& ( complementT_lem = $true )
& ( subsetI2 = $true )
& ( powerset__Cong = $true )
& ( notdallE = $true )
& ( symdiffE = $true )
& ( binintersectLsub = $true )
& ( setukpairinjR2 = $true )
& ( contrasubsetT1 = $true )
& ( symdiffIneg2 = $true )
& ( notinemptyset = $true )
& ( iftrue = $true )
& ( kpairiskpair = $true )
& ( setextsub = $true )
& ( cartprodsndin = $true )
& ( upairsetE = $true )
& ( powersetT_lem = $true )
& ( subsetI1 = $true )
& ( ubforcartprodlem3 = $true )
& ( setadjoinOr = $true )
& ( secondinupair = $true )
& ( dpsetconstrER = $true )
& ( subsetemptysetimpeq = $true )
& ( upairset2IR = $true )
& ( ex1I = $true )
& ( setadjoinAx = $true )
& ( setunionI = $true )
& ( theeq = $true )
& ( doubleComplementEq = $true )
& ( ex1E2 = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( binintersectEL = $true )
& ( eta2 = $true )
& ( inPowerset = $true )
& ( complementImpComplementIntersect = $true )
& ( powersetTI1 = $true )
& ( inCongP = $true )
& ( notequalI1 = $true )
& ( binintersectSubset1 = $true )
& ( cartprodmempair = $true )
& ( upairsetIR = $true )
& ( eqbreln = $true )
& ( setukpairinjL1 = $true )
& ( ap2apEq1 = $true )
& ( cartprodmempaircEq = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan3 = $true )
& ( nonemptyI1 = $true )
& ( ex1E1 = $true )
& ( ksndsingleton = $true )
& ( kpairp = $true )
& ( in__Cong = $true )
& ( binintersectT_lem = $true )
& ( kfstpairEq = $true )
& ( notsubsetI = $true )
& ( doubleComplementI1 = $true )
& ( powersetE1 = $true )
& ( binintersectSubset3 = $true )
& ( eqinunit = $true )
& ( setunionE = $true )
& ( setunionE2 = $true )
& ( binunionE = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( emptysetsubset = $true )
& ( contrasubsetT = $true )
& ( upairsubunion = $true ) ),
inference(flattening,[],[f1005]) ).
thf(f1016,plain,
( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) )
= $true )
| ( ( subset @ X0 @ X2 )
!= $true )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
<=> ( contrasubsetT2 = $true ) ),
inference(ennf_transformation,[],[f268]) ).
thf(f1017,plain,
( ( contrasubsetT2 = $true )
<=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true )
| ( ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) )
= $true )
| ( ( subset @ X0 @ X2 )
!= $true ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) ) ),
inference(flattening,[],[f1016]) ).
thf(f1161,plain,
( ( ( contrasubsetT2 = $true )
| ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
& ( ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) )
!= $true )
& ( ( subset @ X0 @ X2 )
= $true ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) )
& ( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true )
| ( ( subset @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X0 ) )
= $true )
| ( ( subset @ X0 @ X2 )
!= $true ) )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( contrasubsetT2 != $true ) ) ),
inference(nnf_transformation,[],[f1017]) ).
thf(f1162,plain,
( ( ( contrasubsetT2 = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( subset @ ( setminus @ X0 @ X2 ) @ ( setminus @ X0 @ X1 ) )
!= $true )
& ( ( subset @ X1 @ X2 )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true )
| ( ( subset @ ( setminus @ X3 @ X5 ) @ ( setminus @ X3 @ X4 ) )
= $true )
| ( ( subset @ X4 @ X5 )
!= $true ) )
| ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true ) )
| ( contrasubsetT2 != $true ) ) ),
inference(rectify,[],[f1161]) ).
thf(f1163,plain,
( ( ( contrasubsetT2 = $true )
| ( ( ( in @ sK70 @ ( powerset @ sK68 ) )
= $true )
& ( ( subset @ ( setminus @ sK68 @ sK70 ) @ ( setminus @ sK68 @ sK69 ) )
!= $true )
& ( ( subset @ sK69 @ sK70 )
= $true )
& ( ( in @ sK69 @ ( powerset @ sK68 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true )
| ( ( subset @ ( setminus @ X3 @ X5 ) @ ( setminus @ X3 @ X4 ) )
= $true )
| ( ( subset @ X4 @ X5 )
!= $true ) )
| ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true ) )
| ( contrasubsetT2 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69,sK70]),skolemize(X0,sK68),skolemize(X1,sK69),skolemize(X2,sK70)],[f1162]) ).
thf(f1218,plain,
( ( ( binintersectLsub = $true )
| ? [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
!= $true ) )
& ( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) ) ),
inference(nnf_transformation,[],[f296]) ).
thf(f1219,plain,
( ( ( binintersectLsub = $true )
| ? [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X2 )
= $true )
| ( binintersectLsub != $true ) ) ),
inference(rectify,[],[f1218]) ).
thf(f1220,plain,
( ( ( binintersectLsub = $true )
| ( ( subset @ ( binintersect @ sK129 @ sK130 ) @ sK129 )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X2 )
= $true )
| ( binintersectLsub != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129,sK130]),skolemize(X0,sK129),skolemize(X1,sK130)],[f1219]) ).
thf(f1521,plain,
( ( ( binintersectT_lem = $true )
| ? [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X1 ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $true ) ) ) )
& ( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ X1 ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) )
| ( binintersectT_lem != $true ) ) ),
inference(nnf_transformation,[],[f877]) ).
thf(f1522,plain,
( ( ( binintersectT_lem = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) ) ) )
& ( ! [X3: $i,X4: $i] :
( ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true )
| ! [X5: $i] :
( ( ( in @ ( binintersect @ X4 @ X5 ) @ ( powerset @ X3 ) )
= $true )
| ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true ) ) )
| ( binintersectT_lem != $true ) ) ),
inference(rectify,[],[f1521]) ).
thf(f1523,plain,
( ( ( binintersectT_lem = $true )
| ( ( ( in @ sK437 @ ( powerset @ sK436 ) )
= $true )
& ( ( in @ ( binintersect @ sK437 @ sK438 ) @ ( powerset @ sK436 ) )
!= $true )
& ( ( in @ sK438 @ ( powerset @ sK436 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true )
| ! [X5: $i] :
( ( ( in @ ( binintersect @ X4 @ X5 ) @ ( powerset @ X3 ) )
= $true )
| ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true ) ) )
| ( binintersectT_lem != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK436,sK437,sK438]),skolemize(X0,sK436),skolemize(X1,sK437),skolemize(X2,sK438)],[f1522]) ).
thf(f1646,plain,
( ( emptysetimpfalse = $true )
& ( binunionIL = $true )
& ( binintersectSubset2 = $true )
& ( iftrueProp1 = $true )
& ( setadjoinSub2 = $true )
& ( setadjoin__Cong = $true )
& ( cartprodpairmemER = $true )
& ( subsetTI = $true )
& ( binintersectSubset4 = $true )
& ( emptyE1 = $true )
& ( kfstsingleton = $true )
& ( omega__Cong = $true )
& ( contrasubsetT2 = $true )
& ( disjointsetsI1 = $true )
& ( subset2powerset = $true )
& ( ksndpairEq = $true )
& ( singletonprop = $true )
& ( setukpairinjL = $true )
& ( app = $true )
& ( singletonsuniq = $true )
& ( funcinfuncset = $true )
& ( subsetE2 = $true )
& ( dsetconstrER = $true )
& ( dpsetconstrI = $true )
& ( bs114d = $true )
& ( sepSubset = $true )
& ( ifp = $true )
& ( wellorderingAx = $true )
& ( brelnall1 = $true )
& ( setminusER = $true )
& ( doubleComplementSub1 = $true )
& ( emptysetAx = $true )
& ( setminusSubset2 = $true )
& ( omegaIndAx = $true )
& ( cartprodsndpairEq = $true )
& ( subsetTrans = $true )
& ( subPowSU = $true )
& ( ex1I2 = $true )
& ( quantDeMorgan4 = $true )
& ( ifSingleton = $true )
& ( singletoninpowerset = $true )
& ( emptysetE = $true )
& ( eqimpsubset1 = $true )
& ( funcGraphProp2 = $true )
& ( dpsetconstrERa = $true )
& ( omega0Ax = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( setukpairinjR12 = $true )
& ( powersetI = $true )
& ( binunionLsub = $true )
& ( beta1 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( setminusI = $true )
& ( noeltsimpempty = $true )
& ( prop2set2propI = $true )
& ( descrp = $true )
& ( setadjoinIL = $true )
& ( lamp = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( emptyInPowerset = $true )
& ( setadjoinSub = $true )
& ( sepInPowerset = $true )
& ( symdiffI1 = $true )
& ( funcGraphProp4 = $true )
& ( theprop = $true )
& ( setoftrueEq = $true )
& ( binintersectRsub = $true )
& ( cartprodfstpairEq = $true )
& ( notequalI2 = $true )
& ( binintersectTERcontra = $true )
& ( replAx = $true )
& ( binintersectER = $true )
& ( notinsingleton = $true )
& ( exuEu = $true )
& ( powersetsubset = $true )
& ( contrasubsetT3 = $true )
& ( exuE1 = $true )
& ( setOfPairsIsBReln = $true )
& ( kpairsurjEq = $true )
& ( complementTnotintersectT = $true )
& ( setextAx = $true )
& ( lamProp = $true )
& ( setminusEL = $true )
& ( exuI3 = $true )
& ( ap2p = $true )
& ( powersetTE1 = $true )
& ( dsetconstrEL = $true )
& ( upairset2E = $true )
& ( exuI2 = $true )
& ( emptyinPowerset = $true )
& ( exuI1 = $true )
& ( setminusSubset1 = $true )
& ( setukpairinjR1 = $true )
& ( dpsetconstrEL1 = $true )
& ( omegaSAx = $true )
& ( powersetI1 = $true )
& ( quantDeMorgan2 = $true )
& ( ap2apEq2 = $true )
& ( setukpairinjL2 = $true )
& ( setunionsingleton = $true )
& ( exu__Cong = $true )
& ( binunionT_lem = $true )
& ( exuE2 = $true )
& ( exuE3u = $true )
& ( setunionsingleton1 = $true )
& ( eta1 = $true )
& ( nonemptyImpWitness = $true )
& ( binunionIR = $true )
& ( prop2setE = $true )
& ( binunionEcases = $true )
& ( nonemptyE1 = $true )
& ( setminusELneg = $true )
& ( setunion__Cong = $true )
& ( setunionsingleton2 = $true )
& ( iffalse = $true )
& ( singletonsubset = $true )
& ( upairsetIL = $true )
& ( dpsetconstrEL2 = $true )
& ( prop2setI = $true )
& ( funcext = $true )
& ( singletonsswitch = $true )
& ( iftrueProp2 = $true )
& ( symdiffIneg1 = $true )
& ( setunionAx = $true )
& ( binintersectTELcontra = $true )
& ( ubforcartprodlem2 = $true )
& ( emptyset__Cong = $true )
& ( cartprodpairmemEL = $true )
& ( setminusERneg = $true )
& ( funcGraphProp1 = $true )
& ( dpsetconstrSub = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR = $true )
& ( foundationAx = $true )
& ( complementTI1 = $true )
& ( complementTE1 = $true )
& ( funcextLem = $true )
& ( lam2lamEq = $true )
& ( nonemptyI = $true )
& ( subsetE = $true )
& ( dsetconstrI = $true )
& ( descr__Cong = $true )
& ( subbreln = $true )
& ( iftrueorfalse = $true )
& ( doubleComplementSub2 = $true )
& ( apProp = $true )
& ( cartprodpairsurjEq = $true )
& ( funcImageSingleton = $true )
& ( notdexE = $true )
& ( upairequniteq = $true )
& ( emptyinunitempty = $true )
& ( setukpairIL = $true )
& ( funcGraphProp3 = $true )
& ( lam2p = $true )
& ( setext = $true )
& ( setminusLsub = $true )
& ( eqimpsubset2 = $true )
& ( setminusILneg = $true )
& ( subsetRefl = $true )
& ( binunionRsub = $true )
& ( cartprodmempair1 = $true )
& ( dsetconstr__Cong = $true )
& ( doubleComplementE1 = $true )
& ( infuncsetfunc = $true )
& ( exuE3e = $true )
& ( vacuousDall = $true )
& ( cartprodpairin = $true )
& ( setukpairinjR11 = $true )
& ( setminusT_lem = $true )
& ( binintersectI = $true )
& ( funcext2 = $true )
& ( powersetE = $true )
& ( emptyI = $true )
& ( cartprodfstin = $true )
& ( binintersectSubset5 = $true )
& ( beta2 = $true )
& ( setminusIRneg = $true )
& ( setukpairIR = $true )
& ( setextT = $true )
& ( symdiffI2 = $true )
& ( brelnall2 = $true )
& ( setbeta = $true )
& ( complementT_lem = $true )
& ( subsetI2 = $true )
& ( powerset__Cong = $true )
& ( notdallE = $true )
& ( symdiffE = $true )
& ( binintersectLsub = $true )
& ( setukpairinjR2 = $true )
& ( contrasubsetT1 = $true )
& ( symdiffIneg2 = $true )
& ( notinemptyset = $true )
& ( iftrue = $true )
& ( kpairiskpair = $true )
& ( setextsub = $true )
& ( cartprodsndin = $true )
& ( upairsetE = $true )
& ( powersetT_lem = $true )
& ( subsetI1 = $true )
& ( ubforcartprodlem3 = $true )
& ( setadjoinOr = $true )
& ( secondinupair = $true )
& ( dpsetconstrER = $true )
& ( subsetemptysetimpeq = $true )
& ( upairset2IR = $true )
& ( ex1I = $true )
& ( setadjoinAx = $true )
& ( setunionI = $true )
& ( theeq = $true )
& ( doubleComplementEq = $true )
& ( ex1E2 = $true )
& ( ( subset @ ( setminus @ sK565 @ sK566 ) @ ( setminus @ sK565 @ ( binintersect @ sK566 @ sK567 ) ) )
!= $true )
& ( ( in @ sK567 @ ( powerset @ sK565 ) )
= $true )
& ( ( in @ sK566 @ ( powerset @ sK565 ) )
= $true )
& ( binintersectEL = $true )
& ( eta2 = $true )
& ( inPowerset = $true )
& ( complementImpComplementIntersect = $true )
& ( powersetTI1 = $true )
& ( inCongP = $true )
& ( notequalI1 = $true )
& ( binintersectSubset1 = $true )
& ( cartprodmempair = $true )
& ( upairsetIR = $true )
& ( eqbreln = $true )
& ( setukpairinjL1 = $true )
& ( ap2apEq1 = $true )
& ( cartprodmempaircEq = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan3 = $true )
& ( nonemptyI1 = $true )
& ( ex1E1 = $true )
& ( ksndsingleton = $true )
& ( kpairp = $true )
& ( in__Cong = $true )
& ( binintersectT_lem = $true )
& ( kfstpairEq = $true )
& ( notsubsetI = $true )
& ( doubleComplementI1 = $true )
& ( powersetE1 = $true )
& ( binintersectSubset3 = $true )
& ( eqinunit = $true )
& ( setunionE = $true )
& ( setunionE2 = $true )
& ( binunionE = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( emptysetsubset = $true )
& ( contrasubsetT = $true )
& ( upairsubunion = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK565,sK566,sK567]),skolemize(X0,sK565),skolemize(X1,sK566),skolemize(X2,sK567)],[f1006]) ).
thf(f1949,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ ( setminus @ X3 @ X5 ) @ ( setminus @ X3 @ X4 ) )
= $true )
| ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true )
| ( ( subset @ X4 @ X5 )
!= $true )
| ( contrasubsetT2 != $true )
| ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1163]) ).
thf(f2025,plain,
! [X2: $i,X3: $i] :
( ( ( subset @ ( binintersect @ X2 @ X3 ) @ X2 )
= $true )
| ( binintersectLsub != $true ) ),
inference(cnf_transformation,[],[f1220]) ).
thf(f2434,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ ( binintersect @ X4 @ X5 ) @ ( powerset @ X3 ) )
= $true )
| ( ( in @ X4 @ ( powerset @ X3 ) )
!= $true )
| ( ( in @ X5 @ ( powerset @ X3 ) )
!= $true )
| ( binintersectT_lem != $true ) ),
inference(cnf_transformation,[],[f1523]) ).
thf(f2618,plain,
binintersectT_lem = $true,
inference(cnf_transformation,[],[f1646]) ).
thf(f2640,plain,
( ( in @ sK566 @ ( powerset @ sK565 ) )
= $true ),
inference(cnf_transformation,[],[f1646]) ).
thf(f2641,plain,
( ( in @ sK567 @ ( powerset @ sK565 ) )
= $true ),
inference(cnf_transformation,[],[f1646]) ).
thf(f2642,plain,
( ( subset @ ( setminus @ sK565 @ sK566 ) @ ( setminus @ sK565 @ ( binintersect @ sK566 @ sK567 ) ) )
!= $true ),
inference(cnf_transformation,[],[f1646]) ).
thf(f2666,plain,
binintersectLsub = $true,
inference(cnf_transformation,[],[f1646]) ).
thf(f2844,plain,
contrasubsetT2 = $true,
inference(cnf_transformation,[],[f1646]) ).
thf(f3395,plain,
( ( ( in @ sK566 @ ( powerset @ sK565 ) )
!= $true )
| ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
!= $true )
| ( contrasubsetT2 != $true )
| ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2642,f1949]) ).
thf(f3404,plain,
( ( ( in @ sK566 @ ( powerset @ sK565 ) )
!= $true )
| ( contrasubsetT2 != $true )
| ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
!= $true )
| ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3395]) ).
thf(f3413,plain,
( ( contrasubsetT2 != $true )
| ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
!= $true )
| ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f3404,f2640]) ).
thf(f3443,plain,
( ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
!= $true )
| ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f3413,f2844]) ).
thf(f3454,definition,
( spl792_11
<=> ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl792_11])],[avatar_definition]) ).
thf(f3456,plain,
( ( ( in @ ( binintersect @ sK566 @ sK567 ) @ ( powerset @ sK565 ) )
!= $true )
| spl792_11 ),
inference(avatar_component_clause,[],[f3454]) ).
thf(f3458,definition,
( spl792_12
<=> ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl792_12])],[avatar_definition]) ).
thf(f3460,plain,
( ( ( subset @ ( binintersect @ sK566 @ sK567 ) @ sK566 )
!= $true )
| spl792_12 ),
inference(avatar_component_clause,[],[f3458]) ).
thf(f3461,plain,
( ~ spl792_11
| ~ spl792_12 ),
inference(avatar_split_clause,[],[f3443,f3458,f3454]) ).
thf(f3532,plain,
( ( binintersectLsub != $true )
| ( $true != $true )
| spl792_12 ),
inference(constrained_superposition,[],[f3460,f2025]) ).
thf(f3544,plain,
( ( binintersectLsub != $true )
| spl792_12 ),
inference(trivial_inequality_removal,[],[f3532]) ).
thf(f3551,plain,
( $false
| spl792_12 ),
inference(forward_subsumption_resolution,[],[f3544,f2666]) ).
thf(f3552,plain,
spl792_12,
inference(avatar_contradiction_clause,[],[f3551]) ).
thf(f3776,plain,
( ( ( in @ sK566 @ ( powerset @ sK565 ) )
!= $true )
| ( $true != $true )
| ( binintersectT_lem != $true )
| ( ( in @ sK567 @ ( powerset @ sK565 ) )
!= $true )
| spl792_11 ),
inference(constrained_superposition,[],[f3456,f2434]) ).
thf(f3791,plain,
( ( ( in @ sK567 @ ( powerset @ sK565 ) )
!= $true )
| ( binintersectT_lem != $true )
| ( ( in @ sK566 @ ( powerset @ sK565 ) )
!= $true )
| spl792_11 ),
inference(trivial_inequality_removal,[],[f3776]) ).
thf(f3798,plain,
( ( ( in @ sK566 @ ( powerset @ sK565 ) )
!= $true )
| ( binintersectT_lem != $true )
| spl792_11 ),
inference(forward_subsumption_resolution,[],[f3791,f2641]) ).
thf(f3800,plain,
( ( binintersectT_lem != $true )
| spl792_11 ),
inference(forward_subsumption_resolution,[],[f3798,f2640]) ).
thf(f3802,plain,
( $false
| spl792_11 ),
inference(forward_subsumption_resolution,[],[f3800,f2618]) ).
thf(f3803,plain,
spl792_11,
inference(avatar_contradiction_clause,[],[f3802]) ).
cnf(s6,plain,
( ~ spl792_11
| ~ spl792_12 ),
inference(sat_conversion,[],[f3461]) ).
cnf(s9,plain,
spl792_12,
inference(sat_conversion,[],[f3552]) ).
cnf(s22,plain,
spl792_11,
inference(sat_conversion,[],[f3803]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s6,s9,s22]) ).
thf(f3804,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU734^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n001.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 14:24:21 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.40 % (1316657)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.77/0.40 % (1316662)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4256750120:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.77/0.40 % (1316663)lrs+10_16_si=on:nwc=1.5:random_seed=3912804735:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.77/0.40 % (1316664)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3171578914:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.77/0.40 % (1316665)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=1452348229: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)
% 0.77/0.40 % (1316664)Instruction limit reached!
% 0.77/0.40 % (1316664)------------------------------
% 0.77/0.40 % (1316664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (1316664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (1316664)CaDiCaL version: 2.1.3
% 0.77/0.40 % (1316664)Termination reason: Instruction limit
% 0.77/0.40 % (1316664)Termination phase: shuffling
% 0.77/0.40 % (1316664)Time elapsed: 0.002 s
% 0.77/0.40 % (1316664)Peak memory usage: 10 MB
% 0.77/0.40 % (1316664)Instructions burned: 3 (million)
% 0.77/0.40 % (1316666)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3431044378:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.77/0.40 % (1316668)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.77/0.40 % (1316668)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.77/0.40 % (1316663)Instruction limit reached!
% 0.77/0.40 % (1316663)------------------------------
% 0.77/0.40 % (1316663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (1316663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (1316663)CaDiCaL version: 2.1.3
% 0.77/0.40 % (1316663)Termination reason: Instruction limit
% 0.77/0.40 % (1316663)Termination phase: shuffling
% 0.77/0.40 % (1316663)Time elapsed: 0.009 s
% 0.77/0.40 % (1316663)Peak memory usage: 10 MB
% 0.77/0.40 % (1316663)Instructions burned: 20 (million)
% 0.77/0.40 % (1316668)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=616080211:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.77/0.40 % (1316662)Instruction limit reached!
% 0.77/0.40 % (1316662)------------------------------
% 0.77/0.40 % (1316662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (1316662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (1316662)CaDiCaL version: 2.1.3
% 0.77/0.40 % (1316662)Termination reason: Instruction limit
% 0.77/0.40 % (1316662)Termination phase: Preprocessing 3
% 0.77/0.40 % (1316662)Time elapsed: 0.023 s
% 0.77/0.40 % (1316662)Peak memory usage: 13 MB
% 0.77/0.40 % (1316662)Instructions burned: 92 (million)
% 0.77/0.41 % (1316667)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3952326872:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.77/0.41 % (1316666)Instruction limit reached!
% 0.77/0.41 % (1316666)------------------------------
% 0.77/0.41 % (1316666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1316666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1316666)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1316666)Termination reason: Instruction limit
% 0.77/0.41 % (1316666)Termination phase: Property scanning
% 0.77/0.41 % (1316666)Time elapsed: 0.012 s
% 0.77/0.41 % (1316666)Peak memory usage: 10 MB
% 0.77/0.41 % (1316666)Instructions burned: 25 (million)
% 0.77/0.41 % (1316673)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2136101393:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.41 % (1316677)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.45 % (1316673)Instruction limit reached!
% 0.77/0.45 % (1316673)------------------------------
% 0.77/0.45 % (1316673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (1316673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (1316673)CaDiCaL version: 2.1.3
% 0.77/0.45 % (1316673)Termination reason: Instruction limit
% 0.77/0.45 % (1316673)Termination phase: shuffling
% 0.77/0.45 % (1316673)Time elapsed: 0.003 s
% 0.77/0.45 % (1316673)Peak memory usage: 10 MB
% 0.77/0.45 % (1316673)Instructions burned: 6 (million)
% 0.77/0.45 % (1316677)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=545952318:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.77/0.45 % (1316677)Instruction limit reached!
% 0.77/0.45 % (1316677)------------------------------
% 0.77/0.45 % (1316677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (1316677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (1316677)CaDiCaL version: 2.1.3
% 0.77/0.45 % (1316677)Termination reason: Instruction limit
% 0.77/0.45 % (1316677)Termination phase: shuffling
% 0.77/0.45 % (1316677)Time elapsed: 0.003 s
% 0.77/0.45 % (1316677)Peak memory usage: 10 MB
% 0.77/0.45 % (1316677)Instructions burned: 13 (million)
% 0.77/0.45 % (1316675)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=145083962:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.77/0.45 % (1316675)Instruction limit reached!
% 0.77/0.45 % (1316675)------------------------------
% 0.77/0.45 % (1316675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (1316675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (1316675)CaDiCaL version: 2.1.3
% 0.77/0.45 % (1316675)Termination reason: Instruction limit
% 0.77/0.45 % (1316675)Termination phase: shuffling
% 0.77/0.45 % (1316675)Time elapsed: 0.003 s
% 0.77/0.45 % (1316675)Peak memory usage: 10 MB
% 0.77/0.45 % (1316675)Instructions burned: 6 (million)
% 0.77/0.45 % (1316679)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2092256602:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.77/0.45 % (1316684)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=1870180445:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.77/0.45 % (1316682)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.77/0.45 % (1316682)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.45 % (1316682)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3719832021:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.77/0.45 % (1316679)Instruction limit reached!
% 0.77/0.45 % (1316679)------------------------------
% 0.77/0.45 % (1316679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (1316679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (1316679)CaDiCaL version: 2.1.3
% 0.77/0.45 % (1316679)Termination reason: Instruction limit
% 0.77/0.45 % (1316679)Termination phase: shuffling
% 0.77/0.45 % (1316679)Time elapsed: 0.006 s
% 0.77/0.45 % (1316679)Peak memory usage: 10 MB
% 0.77/0.45 % (1316679)Instructions burned: 14 (million)
% 0.77/0.45 % (1316685)lrs+10_1_si=on:cs=on:random_seed=4162099194:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.77/0.45 % (1316685)Instruction limit reached!
% 0.77/0.45 % (1316685)------------------------------
% 0.77/0.45 % (1316685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (1316685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (1316685)CaDiCaL version: 2.1.3
% 0.77/0.45 % (1316685)Termination reason: Instruction limit
% 0.77/0.45 % (1316685)Termination phase: shuffling
% 0.77/0.45 % (1316685)Time elapsed: 0.004 s
% 0.77/0.45 % (1316685)Peak memory usage: 10 MB
% 0.77/0.45 % (1316685)Instructions burned: 9 (million)
% 0.77/0.45 % (1316682)Instruction limit reached!
% 0.77/0.49 % (1316682)------------------------------
% 0.77/0.49 % (1316682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316682)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316682)Termination reason: Instruction limit
% 0.77/0.49 % (1316682)Termination phase: shuffling
% 0.77/0.49 % (1316682)Time elapsed: 0.013 s
% 0.77/0.49 % (1316682)Peak memory usage: 10 MB
% 0.77/0.49 % (1316682)Instructions burned: 30 (million)
% 0.77/0.49 % (1316684)Instruction limit reached!
% 0.77/0.49 % (1316684)------------------------------
% 0.77/0.49 % (1316684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316684)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316684)Termination reason: Instruction limit
% 0.77/0.49 % (1316684)Termination phase: Property scanning
% 0.77/0.49 % (1316684)Time elapsed: 0.019 s
% 0.77/0.49 % (1316684)Peak memory usage: 11 MB
% 0.77/0.49 % (1316684)Instructions burned: 86 (million)
% 0.77/0.49 % (1316689)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.77/0.49 % (1316689)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=4098486149:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.49 % (1316689)Instruction limit reached!
% 0.77/0.49 % (1316689)------------------------------
% 0.77/0.49 % (1316689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316689)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316689)Termination reason: Instruction limit
% 0.77/0.49 % (1316689)Termination phase: shuffling
% 0.77/0.49 % (1316689)Time elapsed: 0.002 s
% 0.77/0.49 % (1316689)Peak memory usage: 10 MB
% 0.77/0.49 % (1316689)Instructions burned: 3 (million)
% 0.77/0.49 % (1316693)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=670016325:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.77/0.49 % (1316693)Instruction limit reached!
% 0.77/0.49 % (1316693)------------------------------
% 0.77/0.49 % (1316693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316693)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316693)Termination reason: Instruction limit
% 0.77/0.49 % (1316693)Termination phase: Property scanning
% 0.77/0.49 % (1316693)Time elapsed: 0.006 s
% 0.77/0.49 % (1316693)Peak memory usage: 10 MB
% 0.77/0.49 % (1316693)Instructions burned: 26 (million)
% 0.77/0.49 % (1316691)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1603971975:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.77/0.49 % (1316692)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1270205936:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.77/0.49 % (1316668)Instruction limit reached!
% 0.77/0.49 % (1316668)------------------------------
% 0.77/0.49 % (1316668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316668)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316668)Termination reason: Instruction limit
% 0.77/0.49 % (1316668)Termination phase: Saturation
% 0.77/0.49 % (1316668)Time elapsed: 0.066 s
% 0.77/0.49 % (1316668)Peak memory usage: 14 MB
% 0.77/0.49 % (1316668)Instructions burned: 158 (million)
% 0.77/0.49 % (1316667)Instruction limit reached!
% 0.77/0.49 % (1316667)------------------------------
% 0.77/0.49 % (1316667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.49 % (1316667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.49 % (1316667)CaDiCaL version: 2.1.3
% 0.77/0.49 % (1316667)Termination reason: Instruction limit
% 0.77/0.49 % (1316667)Termination phase: Preprocessing 3
% 0.77/0.49 % (1316667)Time elapsed: 0.061 s
% 0.77/0.49 % (1316667)Peak memory usage: 12 MB
% 0.77/0.49 % (1316667)Instructions burned: 75 (million)
% 0.77/0.49 % (1316697)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1190468385:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.53/0.52 % (1316695)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1022905013:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.52 % (1316691)Instruction limit reached!
% 1.53/0.52 % (1316691)------------------------------
% 1.53/0.52 % (1316691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316691)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316691)Termination reason: Instruction limit
% 1.53/0.52 % (1316691)Termination phase: SInE selection
% 1.53/0.52 % (1316691)Time elapsed: 0.017 s
% 1.53/0.52 % (1316691)Peak memory usage: 11 MB
% 1.53/0.52 % (1316691)Instructions burned: 39 (million)
% 1.53/0.52 % (1316695)Instruction limit reached!
% 1.53/0.52 % (1316695)------------------------------
% 1.53/0.52 % (1316695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316695)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316695)Termination reason: Instruction limit
% 1.53/0.52 % (1316695)Termination phase: shuffling
% 1.53/0.52 % (1316695)Time elapsed: 0.007 s
% 1.53/0.52 % (1316695)Peak memory usage: 10 MB
% 1.53/0.52 % (1316695)Instructions burned: 16 (million)
% 1.53/0.52 % (1316704)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1653904676:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.52 % (1316705)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=661219272:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.52 % (1316701)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1701918874:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.53/0.52 % (1316700)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3662136038:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.52 % (1316701)Instruction limit reached!
% 1.53/0.52 % (1316701)------------------------------
% 1.53/0.52 % (1316701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316701)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316701)Termination reason: Instruction limit
% 1.53/0.52 % (1316701)Termination phase: shuffling
% 1.53/0.52 % (1316701)Time elapsed: 0.003 s
% 1.53/0.52 % (1316701)Peak memory usage: 10 MB
% 1.53/0.52 % (1316701)Instructions burned: 2 (million)
% 1.53/0.52 % (1316700)Instruction limit reached!
% 1.53/0.52 % (1316700)------------------------------
% 1.53/0.52 % (1316700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316700)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316700)Termination reason: Instruction limit
% 1.53/0.52 % (1316700)Termination phase: shuffling
% 1.53/0.52 % (1316700)Time elapsed: 0.007 s
% 1.53/0.52 % (1316700)Peak memory usage: 10 MB
% 1.53/0.52 % (1316700)Instructions burned: 15 (million)
% 1.53/0.52 % (1316704)Instruction limit reached!
% 1.53/0.52 % (1316704)------------------------------
% 1.53/0.52 % (1316704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316704)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316704)Termination reason: Instruction limit
% 1.53/0.52 % (1316704)Termination phase: shuffling
% 1.53/0.52 % (1316704)Time elapsed: 0.013 s
% 1.53/0.52 % (1316704)Peak memory usage: 10 MB
% 1.53/0.52 % (1316704)Instructions burned: 28 (million)
% 1.53/0.52 % (1316705)Instruction limit reached!
% 1.53/0.52 % (1316705)------------------------------
% 1.53/0.52 % (1316705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (1316705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (1316705)CaDiCaL version: 2.1.3
% 1.53/0.52 % (1316705)Termination reason: Instruction limit
% 1.53/0.52 % (1316705)Termination phase: shuffling
% 1.53/0.52 % (1316705)Time elapsed: 0.017 s
% 1.53/0.52 % (1316705)Peak memory usage: 10 MB
% 1.53/0.52 % (1316705)Instructions burned: 25 (million)
% 2.08/0.59 % (1316711)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.08/0.59 % (1316711)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.08/0.59 % (1316711)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=336484134:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.08/0.59 % (1316712)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.08/0.59 % (1316710)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3275415600:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.08/0.59 % (1316711)Instruction limit reached!
% 2.08/0.59 % (1316711)------------------------------
% 2.08/0.59 % (1316711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.59 % (1316711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.59 % (1316711)CaDiCaL version: 2.1.3
% 2.08/0.59 % (1316711)Termination reason: Instruction limit
% 2.08/0.59 % (1316711)Termination phase: shuffling
% 2.08/0.59 % (1316711)Time elapsed: 0.007 s
% 2.08/0.59 % (1316711)Peak memory usage: 10 MB
% 2.08/0.59 % (1316711)Instructions burned: 15 (million)
% 2.08/0.59 % (1316712)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=4289488829:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.08/0.59 % (1316713)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=3177252530:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.08/0.59 % (1316712)Instruction limit reached!
% 2.08/0.59 % (1316712)------------------------------
% 2.08/0.59 % (1316712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.59 % (1316712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.59 % (1316712)CaDiCaL version: 2.1.3
% 2.08/0.59 % (1316712)Termination reason: Instruction limit
% 2.08/0.59 % (1316712)Termination phase: shuffling
% 2.08/0.59 % (1316712)Time elapsed: 0.004 s
% 2.08/0.59 % (1316712)Peak memory usage: 10 MB
% 2.08/0.59 % (1316712)Instructions burned: 8 (million)
% 2.08/0.59 % (1316697)Instruction limit reached!
% 2.08/0.59 % (1316697)------------------------------
% 2.08/0.59 % (1316697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.59 % (1316697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.59 % (1316697)CaDiCaL version: 2.1.3
% 2.08/0.59 % (1316697)Termination reason: Instruction limit
% 2.08/0.59 % (1316697)Termination phase: Saturation
% 2.08/0.59 % (1316697)Time elapsed: 0.080 s
% 2.08/0.59 % (1316697)Peak memory usage: 15 MB
% 2.08/0.59 % (1316697)Instructions burned: 328 (million)
% 2.08/0.59 % (1316713)Instruction limit reached!
% 2.08/0.59 % (1316713)------------------------------
% 2.08/0.59 % (1316713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.59 % (1316713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.59 % (1316713)CaDiCaL version: 2.1.3
% 2.08/0.59 % (1316713)Termination reason: Instruction limit
% 2.08/0.59 % (1316713)Termination phase: shuffling
% 2.08/0.59 % (1316713)Time elapsed: 0.014 s
% 2.08/0.59 % (1316713)Peak memory usage: 11 MB
% 2.08/0.59 % (1316713)Instructions burned: 32 (million)
% 2.08/0.59 % (1316717)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=998171814:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.08/0.59 % (1316719)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4165520316:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.08/0.59 % (1316717)Instruction limit reached!
% 2.08/0.59 % (1316717)------------------------------
% 2.08/0.59 % (1316717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.59 % (1316717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.59 % (1316717)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316717)Termination reason: Instruction limit
% 2.30/0.66 % (1316717)Termination phase: shuffling
% 2.30/0.66 % (1316717)Time elapsed: 0.004 s
% 2.30/0.66 % (1316717)Peak memory usage: 10 MB
% 2.30/0.66 % (1316717)Instructions burned: 9 (million)
% 2.30/0.66 % (1316710)Instruction limit reached!
% 2.30/0.66 % (1316710)------------------------------
% 2.30/0.66 % (1316710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1316710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1316710)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316710)Termination reason: Instruction limit
% 2.30/0.66 % (1316710)Termination phase: Preprocessing 3
% 2.30/0.66 % (1316710)Time elapsed: 0.029 s
% 2.30/0.66 % (1316710)Peak memory usage: 12 MB
% 2.30/0.66 % (1316710)Instructions burned: 62 (million)
% 2.30/0.66 % (1316720)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4291497807:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.30/0.66 % (1316720)Instruction limit reached!
% 2.30/0.66 % (1316720)------------------------------
% 2.30/0.66 % (1316720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1316720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1316720)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316720)Termination reason: Instruction limit
% 2.30/0.66 % (1316720)Termination phase: shuffling
% 2.30/0.66 % (1316720)Time elapsed: 0.006 s
% 2.30/0.66 % (1316720)Peak memory usage: 10 MB
% 2.30/0.66 % (1316720)Instructions burned: 24 (million)
% 2.30/0.66 % (1316692)Instruction limit reached!
% 2.30/0.66 % (1316692)------------------------------
% 2.30/0.66 % (1316692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1316692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1316692)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316692)Termination reason: Instruction limit
% 2.30/0.66 % (1316692)Termination phase: Saturation
% 2.30/0.66 % (1316692)Time elapsed: 0.109 s
% 2.30/0.66 % (1316692)Peak memory usage: 15 MB
% 2.30/0.66 % (1316692)Instructions burned: 249 (million)
% 2.30/0.66 % (1316719)Instruction limit reached!
% 2.30/0.66 % (1316719)------------------------------
% 2.30/0.66 % (1316719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1316719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1316719)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316719)Termination reason: Instruction limit
% 2.30/0.66 % (1316719)Termination phase: shuffling
% 2.30/0.66 % (1316719)Time elapsed: 0.011 s
% 2.30/0.66 % (1316719)Peak memory usage: 10 MB
% 2.30/0.66 % (1316719)Instructions burned: 24 (million)
% 2.30/0.66 % (1316721)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2834887690:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.30/0.66 % (1316727)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2598688988:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.30/0.66 % (1316724)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=892596915:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.30/0.66 % (1316725)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3466321992:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.30/0.66 % (1316729)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.30/0.66 % (1316727)Instruction limit reached!
% 2.30/0.66 % (1316727)------------------------------
% 2.30/0.66 % (1316727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1316727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1316727)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1316727)Termination reason: Instruction limit
% 2.30/0.66 % (1316727)Termination phase: Property scanning
% 2.30/0.66 % (1316727)Time elapsed: 0.010 s
% 2.30/0.66 % (1316727)Peak memory usage: 11 MB
% 2.30/0.66 % (1316727)Instructions burned: 43 (million)
% 2.30/0.66 % (1316729)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3332383980:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.30/0.66 % (1316730)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4236336855:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.53/0.75 % (1316729)Instruction limit reached!
% 2.53/0.75 % (1316729)------------------------------
% 2.53/0.75 % (1316729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316729)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316729)Termination reason: Instruction limit
% 2.53/0.75 % (1316729)Termination phase: shuffling
% 2.53/0.75 % (1316729)Time elapsed: 0.004 s
% 2.53/0.75 % (1316729)Peak memory usage: 10 MB
% 2.53/0.75 % (1316729)Instructions burned: 9 (million)
% 2.53/0.75 % (1316735)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=230573805:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.53/0.75 % (1316737)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.53/0.75 % (1316737)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1632874912:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.53/0.75 % (1316737)Instruction limit reached!
% 2.53/0.75 % (1316737)------------------------------
% 2.53/0.75 % (1316737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316737)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316737)Termination reason: Instruction limit
% 2.53/0.75 % (1316737)Termination phase: shuffling
% 2.53/0.75 % (1316737)Time elapsed: 0.003 s
% 2.53/0.75 % (1316737)Peak memory usage: 10 MB
% 2.53/0.75 % (1316737)Instructions burned: 6 (million)
% 2.53/0.75 % (1316740)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1110036363:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.53/0.75 % (1316735)Instruction limit reached!
% 2.53/0.75 % (1316735)------------------------------
% 2.53/0.75 % (1316735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316735)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316735)Termination reason: Instruction limit
% 2.53/0.75 % (1316735)Termination phase: Saturation
% 2.53/0.75 % (1316735)Time elapsed: 0.038 s
% 2.53/0.75 % (1316735)Peak memory usage: 13 MB
% 2.53/0.75 % (1316735)Instructions burned: 172 (million)
% 2.53/0.75 % (1316724)Instruction limit reached!
% 2.53/0.75 % (1316724)------------------------------
% 2.53/0.75 % (1316724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316724)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316724)Termination reason: Instruction limit
% 2.53/0.75 % (1316724)Termination phase: Property scanning
% 2.53/0.75 % (1316724)Time elapsed: 0.060 s
% 2.53/0.75 % (1316724)Peak memory usage: 12 MB
% 2.53/0.75 % (1316724)Instructions burned: 145 (million)
% 2.53/0.75 % (1316740)Instruction limit reached!
% 2.53/0.75 % (1316740)------------------------------
% 2.53/0.75 % (1316740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316740)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316740)Termination reason: Instruction limit
% 2.53/0.75 % (1316740)Termination phase: shuffling
% 2.53/0.75 % (1316740)Time elapsed: 0.011 s
% 2.53/0.75 % (1316740)Peak memory usage: 10 MB
% 2.53/0.75 % (1316740)Instructions burned: 23 (million)
% 2.53/0.75 % (1316742)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4059554318:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.53/0.75 % (1316742)Instruction limit reached!
% 2.53/0.75 % (1316742)------------------------------
% 2.53/0.75 % (1316742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.75 % (1316742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.75 % (1316742)CaDiCaL version: 2.1.3
% 2.53/0.75 % (1316742)Termination reason: Instruction limit
% 2.53/0.75 % (1316742)Termination phase: shuffling
% 2.53/0.75 % (1316742)Time elapsed: 0.005 s
% 2.53/0.78 % (1316742)Peak memory usage: 10 MB
% 2.53/0.78 % (1316742)Instructions burned: 23 (million)
% 2.53/0.78 % (1316743)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=372045173:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.53/0.78 % (1316725)Instruction limit reached!
% 2.53/0.78 % (1316725)------------------------------
% 2.53/0.78 % (1316725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316725)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316725)Termination reason: Instruction limit
% 2.53/0.78 % (1316725)Termination phase: Saturation
% 2.53/0.78 % (1316725)Time elapsed: 0.081 s
% 2.53/0.78 % (1316725)Peak memory usage: 13 MB
% 2.53/0.78 % (1316725)Instructions burned: 194 (million)
% 2.53/0.78 % (1316746)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=2706315479:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.53/0.78 % (1316730)Instruction limit reached!
% 2.53/0.78 % (1316730)------------------------------
% 2.53/0.78 % (1316730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316730)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316730)Termination reason: Instruction limit
% 2.53/0.78 % (1316730)Termination phase: Saturation
% 2.53/0.78 % (1316730)Time elapsed: 0.077 s
% 2.53/0.78 % (1316730)Peak memory usage: 13 MB
% 2.53/0.78 % (1316730)Instructions burned: 182 (million)
% 2.53/0.78 % (1316744)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=1375414029:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.53/0.78 % (1316746)Instruction limit reached!
% 2.53/0.78 % (1316746)------------------------------
% 2.53/0.78 % (1316746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316746)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316746)Termination reason: Instruction limit
% 2.53/0.78 % (1316746)Termination phase: Property scanning
% 2.53/0.78 % (1316746)Time elapsed: 0.011 s
% 2.53/0.78 % (1316746)Peak memory usage: 10 MB
% 2.53/0.78 % (1316746)Instructions burned: 47 (million)
% 2.53/0.78 % (1316748)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1713900683:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.53/0.78 % (1316752)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.53/0.78 % (1316750)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2567675344:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.53/0.78 % (1316752)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2495047729:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.53/0.78 % (1316750)Instruction limit reached!
% 2.53/0.78 % (1316750)------------------------------
% 2.53/0.78 % (1316750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316750)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316750)Termination reason: Instruction limit
% 2.53/0.78 % (1316750)Termination phase: shuffling
% 2.53/0.78 % (1316750)Time elapsed: 0.011 s
% 2.53/0.78 % (1316750)Peak memory usage: 11 MB
% 2.53/0.78 % (1316750)Instructions burned: 22 (million)
% 2.53/0.78 % (1316756)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2582862110:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.53/0.78 % (1316756)Instruction limit reached!
% 2.53/0.78 % (1316756)------------------------------
% 2.53/0.78 % (1316756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316756)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316756)Termination reason: Instruction limit
% 2.53/0.78 % (1316756)Termination phase: shuffling
% 2.53/0.78 % (1316756)Time elapsed: 0.006 s
% 2.53/0.78 % (1316756)Peak memory usage: 10 MB
% 2.53/0.78 % (1316756)Instructions burned: 13 (million)
% 2.53/0.78 % (1316752)Instruction limit reached!
% 2.53/0.78 % (1316752)------------------------------
% 2.53/0.78 % (1316752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316752)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316752)Termination reason: Instruction limit
% 2.53/0.78 % (1316752)Termination phase: Saturation
% 2.53/0.78 % (1316752)Time elapsed: 0.047 s
% 2.53/0.78 % (1316752)Peak memory usage: 14 MB
% 2.53/0.78 % (1316752)Instructions burned: 204 (million)
% 2.53/0.78 % (1316758)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3585701291:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.53/0.78 % (1316759)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2518619959:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.53/0.78 % (1316759)Instruction limit reached!
% 2.53/0.78 % (1316759)------------------------------
% 2.53/0.78 % (1316759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316759)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316759)Termination reason: Instruction limit
% 2.53/0.78 % (1316759)Termination phase: Property scanning
% 2.53/0.78 % (1316759)Time elapsed: 0.013 s
% 2.53/0.78 % (1316759)Peak memory usage: 11 MB
% 2.53/0.78 % (1316759)Instructions burned: 55 (million)
% 2.53/0.78 % (1316762)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=950694672:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.53/0.78 % (1316758)Instruction limit reached!
% 2.53/0.78 % (1316758)------------------------------
% 2.53/0.78 % (1316758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316758)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316758)Termination reason: Instruction limit
% 2.53/0.78 % (1316758)Termination phase: SInE selection
% 2.53/0.78 % (1316758)Time elapsed: 0.029 s
% 2.53/0.78 % (1316758)Peak memory usage: 11 MB
% 2.53/0.78 % (1316758)Instructions burned: 68 (million)
% 2.53/0.78 % (1316762)Instruction limit reached!
% 2.53/0.78 % (1316762)------------------------------
% 2.53/0.78 % (1316762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316762)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316762)Termination reason: Instruction limit
% 2.53/0.78 % (1316762)Termination phase: shuffling
% 2.53/0.78 % (1316762)Time elapsed: 0.007 s
% 2.53/0.78 % (1316762)Peak memory usage: 10 MB
% 2.53/0.78 % (1316762)Instructions burned: 31 (million)
% 2.53/0.78 % (1316765)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1730635690:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.53/0.78 % (1316764)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2876613634:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.53/0.78 % (1316765)Instruction limit reached!
% 2.53/0.78 % (1316765)------------------------------
% 2.53/0.78 % (1316765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316765)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316765)Termination reason: Instruction limit
% 2.53/0.78 % (1316765)Termination phase: Property scanning
% 2.53/0.78 % (1316765)Time elapsed: 0.008 s
% 2.53/0.78 % (1316765)Peak memory usage: 11 MB
% 2.53/0.78 % (1316765)Instructions burned: 36 (million)
% 2.53/0.78 % (1316768)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=213868224:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.53/0.78 % (1316743)Instruction limit reached!
% 2.53/0.78 % (1316743)------------------------------
% 2.53/0.78 % (1316743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316743)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316743)Termination reason: Instruction limit
% 2.53/0.78 % (1316743)Termination phase: Saturation
% 2.53/0.78 % (1316743)Time elapsed: 0.151 s
% 2.53/0.78 % (1316743)Peak memory usage: 15 MB
% 2.53/0.78 % (1316743)Instructions burned: 317 (million)
% 2.53/0.78 % (1316768)Instruction limit reached!
% 2.53/0.78 % (1316768)------------------------------
% 2.53/0.78 % (1316768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316768)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316768)Termination reason: Instruction limit
% 2.53/0.78 % (1316768)Termination phase: Property scanning
% 2.53/0.78 % (1316768)Time elapsed: 0.016 s
% 2.53/0.78 % (1316768)Peak memory usage: 11 MB
% 2.53/0.78 % (1316768)Instructions burned: 72 (million)
% 2.53/0.78 % (1316748) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1316657-1316748"...
% 2.53/0.78 % (1316770)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.53/0.78 % (1316770)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2353044848:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.53/0.78 % (1316748)...printing done.
% 2.53/0.78 % (1316748)Refutation found. Thanks to Tanya!
% 2.53/0.78 % SZS status Theorem for theBenchmark
% 2.53/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.78 % (1316748)------------------------------
% 2.53/0.78 % (1316748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.78 % (1316748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.78 % (1316748)CaDiCaL version: 2.1.3
% 2.53/0.78 % (1316748)Termination reason: Refutation
% 2.53/0.78 % (1316748)Time elapsed: 0.153 s
% 2.53/0.78 % (1316748)Peak memory usage: 18 MB
% 2.53/0.78 % (1316748)Instructions burned: 313 (million)
% 2.53/0.78 % (1316657)Success in time 0.508 s
% 2.53/0.78 % Vampire exiting
%------------------------------------------------------------------------------