%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU700^1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:50 AM UTC 2026
% Result : Theorem 2.86s 0.82s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 34 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 4932 (1429 equ; 0 cnn)
% Maximal formula atoms : 221 ( 145 avg)
% Number of connectives : 2351 ( 80 ~; 56 |; 912 &; 199 @)
% ( 3 <=>;1101 =>; 0 <=; 0 <~>)
% Maximal formula depth : 231 ( 63 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 431 ( 428 usr; 237 con; 0-4 aty)
% Number of variables : 92 ( 24 ^; 50 !; 18 ?; 92 :)
% 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_256,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_257,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_258,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_259,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_260,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_261,type,
vOR: $o > $o > $o ).
thf(func_def_262,type,
vAND: $o > $o > $o ).
thf(func_def_263,type,
vNOT: $o > $o ).
thf(func_def_264,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_265,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_266,type,
vIMP: $o > $o > $o ).
thf(func_def_267,type,
sP0: $i > $i > $i > $i > $o ).
thf(func_def_268,type,
sP1: $o ).
thf(func_def_269,type,
sP2: $o ).
thf(func_def_270,type,
sP3: $o ).
thf(func_def_271,type,
sP4: $o ).
thf(func_def_272,type,
sP5: $i > $i > $o ).
thf(func_def_273,type,
sP6: $i > $o ).
thf(func_def_274,type,
sP7: $i > $i > $o ).
thf(func_def_275,type,
sP8: $i > $i > $o ).
thf(func_def_276,type,
sP9: $o > $i > $i > $i > $o ).
thf(func_def_277,type,
sP10: $o ).
thf(func_def_278,type,
sK11: $i > $o ).
thf(func_def_279,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_289,type,
sK22: $i > $i > $i ).
thf(func_def_294,type,
sK27: $i > $i > $i > $i > $i ).
thf(func_def_295,type,
sK28: $i > $i > $i > $i > $i ).
thf(func_def_296,type,
sK29: $i > $i > $i > $i > $i ).
thf(func_def_297,type,
sK30: $i > $i > $i > $i > $i ).
thf(func_def_303,type,
sK36: $i > $i > $o ).
thf(func_def_315,type,
sK48: $i > $i ).
thf(func_def_318,type,
sK51: $i > $o ).
thf(func_def_320,type,
sK53: ( $i > $o ) > $i > $i ).
thf(func_def_322,type,
sK55: $i > $i > $o ).
thf(func_def_330,type,
sK63: $i > $o ).
thf(func_def_336,type,
sK69: $i > $i > $o ).
thf(func_def_337,type,
sK70: $i > $i ).
thf(func_def_338,type,
sK71: $i > $i ).
thf(func_def_339,type,
sK72: ( $i > $i > $o ) > $i > $i ).
thf(func_def_340,type,
sK73: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_341,type,
sK74: ( $i > $i > $o ) > $i > $i ).
thf(func_def_346,type,
sK79: $i > $i ).
thf(func_def_350,type,
sK83: $i > $o ).
thf(func_def_351,type,
sK84: $i > $i ).
thf(func_def_352,type,
sK85: ( $i > $o ) > $i ).
thf(func_def_358,type,
sK91: $i > ( $i > $i ) > $i > $i ).
thf(func_def_360,type,
sK93: $i > $i ).
thf(func_def_365,type,
sK98: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_366,type,
sK99: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_370,type,
sK103: $i > $o ).
thf(func_def_374,type,
sK107: $i > $o ).
thf(func_def_394,type,
sK127: $i > $i > $i ).
thf(func_def_397,type,
sK130: $i > $i ).
thf(func_def_398,type,
sK131: ( $i > $i ) > $i > $i > $i ).
thf(func_def_408,type,
sK141: $i > $i ).
thf(func_def_415,type,
sK148: $i > $i > $i ).
thf(func_def_421,type,
sK154: ( $i > $o ) > $i > $i ).
thf(func_def_423,type,
sK156: $i > $o ).
thf(func_def_428,type,
sK161: $i > $i > $i > $i ).
thf(func_def_429,type,
sK162: $i > $i > $i > $i ).
thf(func_def_437,type,
sK170: $i > $o ).
thf(func_def_452,type,
sK185: $i > $o ).
thf(func_def_454,type,
sK187: $i > $o ).
thf(func_def_455,type,
sK188: $i > $o ).
thf(func_def_456,type,
sK189: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_457,type,
sK190: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_459,type,
sK192: $i > $o ).
thf(func_def_468,type,
sK201: $i > $i > $i ).
thf(func_def_469,type,
sK202: $i > $i > $i ).
thf(func_def_470,type,
sK203: $i > $i ).
thf(func_def_472,type,
sK205: $i > $i ).
thf(func_def_476,type,
sK209: $i > $i > $i ).
thf(func_def_477,type,
sK210: $i > ( $i > $o ) > $i ).
thf(func_def_478,type,
sK211: $i > $o ).
thf(func_def_487,type,
sK220: $i > $i > $i > $i > $i ).
thf(func_def_501,type,
sK234: $o ).
thf(func_def_504,type,
sK237: $i > $i > $o ).
thf(func_def_511,type,
sK244: $i > $o ).
thf(func_def_514,type,
sK247: $i > ( $i > $o ) > $i ).
thf(func_def_516,type,
sK249: $i > $i ).
thf(func_def_521,type,
sK254: $i > $i > $o ).
thf(func_def_522,type,
sK255: $o ).
thf(func_def_523,type,
sK256: $i > $o ).
thf(func_def_526,type,
sK259: $i > ( $i > $o ) > $i ).
thf(func_def_527,type,
sK260: $i > ( $i > $o ) > $i ).
thf(func_def_528,type,
sK261: $i > $i > $i ).
thf(func_def_537,type,
sK270: $i > $i > $o ).
thf(func_def_549,type,
sK282: $i > $o ).
thf(func_def_550,type,
sK283: $i > $o ).
thf(func_def_551,type,
sK284: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_552,type,
sK285: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_559,type,
sK292: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_560,type,
sK293: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_564,type,
sK297: $i > $o ).
thf(func_def_568,type,
sK301: $o ).
thf(func_def_576,type,
sK309: $i > $o ).
thf(func_def_584,type,
sK317: $i > $i ).
thf(func_def_587,type,
sK320: $i > ( $i > $i ) > $i > $i ).
thf(func_def_622,type,
sK355: $i > ( $i > $o ) > $i ).
thf(func_def_623,type,
sK356: $i > $o ).
thf(func_def_633,type,
sK366: $i > $o ).
thf(func_def_638,type,
sK371: $i > $i > $i > $i > $i ).
thf(func_def_643,type,
sK376: $i > $i > $i > $i > $i ).
thf(func_def_644,type,
sK377: $i > $i > $i > $i > $i ).
thf(func_def_652,type,
sK385: ( $i > $o ) > $i > $i ).
thf(func_def_654,type,
sK387: $i > $o ).
thf(func_def_662,type,
sK395: $i > $i > $o ).
thf(func_def_666,type,
sK399: $i > $i > $i ).
thf(func_def_673,type,
sK406: $i > $o ).
thf(func_def_674,type,
sK407: ( $i > $o ) > $i > $i > $i ).
thf(func_def_688,type,
sK421: $i > $i ).
thf(func_def_690,type,
sK423: $i > ( $i > $i ) > $i > $i ).
thf(func_def_695,type,
sK428: $o ).
thf(func_def_700,type,
sK433: $i > $o ).
thf(func_def_711,type,
sK444: $i > ( $i > $o ) > $i ).
thf(func_def_712,type,
sK445: $i > $o ).
thf(func_def_737,type,
sK470: $i > $i > $i > $i > $i ).
thf(func_def_740,type,
sK473: $o ).
thf(func_def_741,type,
sK474: $o > $i > $i > $i ).
thf(func_def_752,type,
sK485: $i > $i > $i ).
thf(func_def_760,type,
sK493: $i > $i > $o ).
thf(func_def_762,type,
sK495: $i > ( $i > $i ) > $i > $i ).
thf(func_def_764,type,
sK497: $i > $i ).
thf(func_def_768,type,
sK501: $i > $o ).
thf(func_def_774,type,
sK507: ( $i > $o ) > $i ).
thf(func_def_775,type,
sK508: ( $i > $o ) > $i ).
thf(func_def_776,type,
sK509: $i > $o ).
thf(func_def_778,type,
sK511: $i > $o ).
thf(func_def_783,type,
sK516: $o ).
thf(func_def_789,type,
sK522: $i > ( $i > $o ) > $i ).
thf(func_def_790,type,
sK523: $i > $o ).
thf(func_def_795,type,
sK528: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_796,type,
sK529: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_799,type,
sK532: $i > $o ).
thf(func_def_800,type,
sK533: $i > $o ).
thf(func_def_802,type,
sK535: $i > $i > $i ).
thf(func_def_803,type,
sK536: $i > $i > $i ).
thf(func_def_804,type,
sK537: $i > $i > $i ).
thf(func_def_805,type,
sK538: $i > $i > $i ).
thf(func_def_806,type,
sK539: $i > $i > $i > $i ).
thf(func_def_807,type,
sK540: $i > $i ).
thf(func_def_808,type,
sK541: $i > $i ).
thf(func_def_809,type,
sK542: $i > $i ).
thf(func_def_810,type,
sK543: $i > $i ).
thf(func_def_811,type,
sK544: $i > $i > $i > $i ).
thf(func_def_812,type,
sK545: $i > $i > $i > $i ).
thf(func_def_813,type,
sK546: $i > $i > $i ).
thf(func_def_814,type,
sK547: $i > $i > $i ).
thf(func_def_815,type,
sK548: $i > $i > $i ).
thf(func_def_817,type,
sK550: $i > $i ).
thf(func_def_818,type,
sK551: $i > $i ).
thf(func_def_819,type,
sK552: $i > $i ).
thf(func_def_820,type,
sK553: $i > $i > $i ).
thf(func_def_825,type,
sK558: $i > $i ).
thf(func_def_836,type,
sK569: $o ).
thf(func_def_838,type,
sK571: $i > $i ).
thf(func_def_841,type,
sK574: $i > ( $i > $i ) > $i > $i ).
thf(func_def_842,type,
sK575: $i > $o ).
thf(func_def_843,type,
sK576: $i > $i ).
thf(func_def_844,type,
sK577: ( $i > $o ) > $i ).
thf(func_def_862,type,
sK595: $i > $o ).
thf(func_def_865,type,
sK598: $i > ( $i > $o ) > $i ).
thf(func_def_867,type,
sK600: $o ).
thf(func_def_875,type,
sK608: $i > $o ).
thf(func_def_895,type,
sK628: $i > $o ).
thf(func_def_917,type,
sK650: $i > $i > $i ).
thf(func_def_920,type,
sK653: $i > $o ).
thf(func_def_923,type,
sK656: $i > ( $i > $o ) > $i ).
thf(func_def_924,type,
sK657: $i > ( $i > $o ) > $i ).
thf(func_def_926,type,
sK659: $o ).
thf(func_def_932,type,
sK665: $i > $o ).
thf(f14,axiom,
! [X1: $i > $o,X2: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) )
= dsetconstrI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(f222,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
=> ! [X1: $o,X0: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ~ X1
=> ( in @ X3
@ ( dsetconstr @ X0
@ ^ [X4: $i] :
( ( ( X4 = X3 )
& ~ X1 )
| ( ( X4 = X2 )
& X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iffalseProp1) ).
thf(f223,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
=> ! [X1: $o,X0: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ~ X1
=> ( in @ X3
@ ( dsetconstr @ X0
@ ^ [X4: $i] :
( ( ( X4 = X3 )
& ~ X1 )
| ( ( X4 = X2 )
& X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f222]) ).
thf(f408,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
=> ! [X0: $o,X1: $i,X2: $i] :
( ( in @ X2 @ X1 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( ~ X0
=> ( in @ X3
@ ( dsetconstr @ X1
@ ^ [X4: $i] :
( ( ( X4 = X3 )
& ~ X0 )
| ( ( X4 = X2 )
& X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f223]) ).
thf(f409,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 )
=> ! [X0: $o,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( $true != X0 )
=> ( ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( X0
& ( X2 = Y0 ) )
| ( ~ X0
& ( X3 = Y0 ) ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f408]) ).
thf(f577,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
=> ( ( X0 @ X1 )
=> ( in @ X1
@ ( dsetconstr @ X2
@ ^ [X3: $i] : ( X0 @ X3 ) ) ) ) )
= dsetconstrI ),
inference(rectify,[],[f14]) ).
thf(f578,plain,
( ! [X0: $i > $o,X2: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ( ( ( X0 @ X1 )
= $true )
=> ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) )
<=> ( dsetconstrI = $true ) ),
inference(fool_elimination,[],[f577]) ).
thf(f674,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 )
=> ! [X2: $i,X1: $i,X0: $o] :
( ( ( in @ X2 @ X1 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( $true != X0 )
=> ( ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( X0
& ( X2 = Y0 ) )
| ( ~ X0
& ( X3 = Y0 ) ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f409]) ).
thf(f697,plain,
( ? [X2: $i,X1: $i,X0: $o] :
( ? [X3: $i] :
( ( ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( X0
& ( X2 = Y0 ) )
| ( ~ X0
& ( X3 = Y0 ) ) ) ) )
!= $true )
& ( $true != X0 )
& ( ( in @ X3 @ X1 )
= $true ) )
& ( ( in @ X2 @ X1 )
= $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,[],[f674]) ).
thf(f698,plain,
( ( upairsetIR = $true )
& ( symdiffI2 = $true )
& ( uniqinunit = $true )
& ( infuncsetfunc = $true )
& ( inPowerset = $true )
& ( upairset2E = $true )
& ( setukpairinjR11 = $true )
& ( subPowSU = $true )
& ( setminusLsub = $true )
& ( singletonsubset = $true )
& ( symdiffIneg2 = $true )
& ( quantDeMorgan2 = $true )
& ( ap2apEq2 = $true )
& ( emptyset__Cong = $true )
& ( nonemptyI = $true )
& ( kpairp = $true )
& ( prop2setE = $true )
& ( subbreln = $true )
& ( setukpairinjL1 = $true )
& ( setextAx = $true )
& ( emptyI = $true )
& ( prop2setI = $true )
& ( cartprodmempair1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setunionE2 = $true )
& ( ksndpairEq = $true )
& ( powersetE = $true )
& ( setukpairIL = $true )
& ( setunionsingleton = $true )
& ( lam2p = $true )
& ( funcGraphProp3 = $true )
& ( exuI1 = $true )
& ( upairsetE = $true )
& ( setunionsingleton1 = $true )
& ( ex1E2 = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstr__Cong = $true )
& ( emptyE1 = $true )
& ( funcext = $true )
& ( notequalI1 = $true )
& ( notequalI2 = $true )
& ( vacuousDall = $true )
& ( brelnall2 = $true )
& ( setextsub = $true )
& ( powersetE1 = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( setukpairinjR2 = $true )
& ( exu__Cong = $true )
& ( setadjoinSub = $true )
& ( powersetsubset = $true )
& ( symdiffI1 = $true )
& ( beta2 = $true )
& ( cartprodpairmemER = $true )
& ( singletoninpowerset = $true )
& ( ex1E1 = $true )
& ( setunionAx = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrER = $true )
& ( exuE3e = $true )
& ( setadjoinAx = $true )
& ( bs114d = $true )
& ( binintersectI = $true )
& ( dpsetconstrI = $true )
& ( omega0Ax = $true )
& ( disjointsetsI1 = $true )
& ( prop2set2propI = $true )
& ( sepInPowerset = $true )
& ( dpsetconstrEL1 = $true )
& ( descr__Cong = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusER = $true )
& ( brelnall1 = $true )
& ( setadjoinIR = $true )
& ( notinsingleton = $true )
& ( funcGraphProp4 = $true )
& ( dsetconstrER = $true )
& ( setunionI = $true )
& ( setext = $true )
& ( omega__Cong = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( funcGraphProp2 = $true )
& ( app = $true )
& ( binunionLsub = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( singletonprop = $true )
& ( foundationAx = $true )
& ( eqinunit = $true )
& ( powersetI1 = $true )
& ( kpairsurjEq = $true )
& ( symdiffIneg1 = $true )
& ( emptyinunitempty = $true )
& ( upairsubunion = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrI = $true )
& ( ex1I = $true )
& ( funcextLem = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subset2powerset = $true )
& ( exuI3 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( ubforcartprodlem3 = $true )
& ( quantDeMorgan4 = $true )
& ( nonemptyImpWitness = $true )
& ( upairequniteq = $true )
& ( lamp = $true )
& ( binintersectER = $true )
& ( upairinpowunion = $true )
& ( subsetI1 = $true )
& ( emptyInPowerset = $true )
& ( omegaIndAx = $true )
& ( cartprodsndin = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( dpsetconstrSub = $true )
& ( subsetTrans = $true )
& ( singletoninpowunion = $true )
& ( setunion__Cong = $true )
& ( setminusEL = $true )
& ( cartprodpairsurjEq = $true )
& ( eqbreln = $true )
& ( eqimpsubset2 = $true )
& ( setminusI = $true )
& ( exuEu = $true )
& ( theprop = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset3 = $true )
& ( subsetI2 = $true )
& ( wellorderingAx = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( setukpairIR = $true )
& ( setukpairinjR12 = $true )
& ( ksndsingleton = $true )
& ( eta2 = $true )
& ( funcinfuncset = $true )
& ( powersetI = $true )
& ( upairset2IR = $true )
& ( setbeta = $true )
& ( emptysetsubset = $true )
& ( setadjoinOr = $true )
& ( setminusERneg = $true )
& ( binunionE = $true )
& ( subsetRefl = $true )
& ( funcGraphProp1 = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( setminusILneg = $true )
& ( singletonsswitch = $true )
& ( cartprodpairin = $true )
& ( binunionEcases = $true )
& ( setminusELneg = $true )
& ( noeltsimpempty = $true )
& ( funcImageSingleton = $true )
& ( powersetAx = $true )
& ( setadjoinE = $true )
& ( setukpairinjL2 = $true )
& ( binunionIL = $true )
& ( dpsetconstrEL2 = $true )
& ( nonemptyI1 = $true )
& ( subsetE2 = $true )
& ( ubforcartprodlem1 = $true )
& ( subsetE = $true )
& ( cartprodmempaircEq = $true )
& ( sepSubset = $true )
& ( dpsetconstrERa = $true )
& ( setunionsingleton2 = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( notinemptyset = $true )
& ( exuI2 = $true )
& ( kpairiskpair = $true )
& ( lamProp = $true )
& ? [X2: $i,X1: $i,X0: $o] :
( ( ( in @ X2 @ X1 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( X0
& ( X2 = Y0 ) )
| ( ~ X0
& ( X3 = Y0 ) ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true )
& ( $true != X0 ) ) )
& ( nonemptyE1 = $true )
& ( funcext2 = $true )
& ( cartprodpairmemEL = $true )
& ( secondinupair = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( ap2p = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( kfstpairEq = $true )
& ( emptyinPowerset = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( notsubsetI = $true )
& ( eta1 = $true )
& ( emptysetE = $true )
& ( binintersectSubset2 = $true )
& ( apProp = $true )
& ( kfstsingleton = $true )
& ( binintersectLsub = $true )
& ( setadjoinIL = $true )
& ( ex1I2 = $true )
& ( setoftrueEq = $true )
& ( cartprodfstin = $true )
& ( setminusIRneg = $true )
& ( inCongP = $true )
& ( singletonsuniq = $true )
& ( quantDeMorgan3 = $true )
& ( binintersectEL = $true )
& ( upairsetIL = $true )
& ( setukpairinjR1 = $true )
& ( dsetconstrEL = $true ) ),
inference(flattening,[],[f697]) ).
thf(f764,plain,
( ! [X0: $i > $o,X2: $i,X1: $i] :
( ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( ( X0 @ X1 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) )
<=> ( dsetconstrI = $true ) ),
inference(ennf_transformation,[],[f578]) ).
thf(f765,plain,
( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( ( X0 @ X1 )
!= $true ) )
<=> ( dsetconstrI = $true ) ),
inference(flattening,[],[f764]) ).
thf(f1218,plain,
( ( upairsetIR = $true )
& ( symdiffI2 = $true )
& ( uniqinunit = $true )
& ( infuncsetfunc = $true )
& ( inPowerset = $true )
& ( upairset2E = $true )
& ( setukpairinjR11 = $true )
& ( subPowSU = $true )
& ( setminusLsub = $true )
& ( singletonsubset = $true )
& ( symdiffIneg2 = $true )
& ( quantDeMorgan2 = $true )
& ( ap2apEq2 = $true )
& ( emptyset__Cong = $true )
& ( nonemptyI = $true )
& ( kpairp = $true )
& ( prop2setE = $true )
& ( subbreln = $true )
& ( setukpairinjL1 = $true )
& ( setextAx = $true )
& ( emptyI = $true )
& ( prop2setI = $true )
& ( cartprodmempair1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setunionE2 = $true )
& ( ksndpairEq = $true )
& ( powersetE = $true )
& ( setukpairIL = $true )
& ( setunionsingleton = $true )
& ( lam2p = $true )
& ( funcGraphProp3 = $true )
& ( exuI1 = $true )
& ( upairsetE = $true )
& ( setunionsingleton1 = $true )
& ( ex1E2 = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstr__Cong = $true )
& ( emptyE1 = $true )
& ( funcext = $true )
& ( notequalI1 = $true )
& ( notequalI2 = $true )
& ( vacuousDall = $true )
& ( brelnall2 = $true )
& ( setextsub = $true )
& ( powersetE1 = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( setukpairinjR2 = $true )
& ( exu__Cong = $true )
& ( setadjoinSub = $true )
& ( powersetsubset = $true )
& ( symdiffI1 = $true )
& ( beta2 = $true )
& ( cartprodpairmemER = $true )
& ( singletoninpowerset = $true )
& ( ex1E1 = $true )
& ( setunionAx = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrER = $true )
& ( exuE3e = $true )
& ( setadjoinAx = $true )
& ( bs114d = $true )
& ( binintersectI = $true )
& ( dpsetconstrI = $true )
& ( omega0Ax = $true )
& ( disjointsetsI1 = $true )
& ( prop2set2propI = $true )
& ( sepInPowerset = $true )
& ( dpsetconstrEL1 = $true )
& ( descr__Cong = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusER = $true )
& ( brelnall1 = $true )
& ( setadjoinIR = $true )
& ( notinsingleton = $true )
& ( funcGraphProp4 = $true )
& ( dsetconstrER = $true )
& ( setunionI = $true )
& ( setext = $true )
& ( omega__Cong = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( funcGraphProp2 = $true )
& ( app = $true )
& ( binunionLsub = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( singletonprop = $true )
& ( foundationAx = $true )
& ( eqinunit = $true )
& ( powersetI1 = $true )
& ( kpairsurjEq = $true )
& ( symdiffIneg1 = $true )
& ( emptyinunitempty = $true )
& ( upairsubunion = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrI = $true )
& ( ex1I = $true )
& ( funcextLem = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subset2powerset = $true )
& ( exuI3 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( ubforcartprodlem3 = $true )
& ( quantDeMorgan4 = $true )
& ( nonemptyImpWitness = $true )
& ( upairequniteq = $true )
& ( lamp = $true )
& ( binintersectER = $true )
& ( upairinpowunion = $true )
& ( subsetI1 = $true )
& ( emptyInPowerset = $true )
& ( omegaIndAx = $true )
& ( cartprodsndin = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( dpsetconstrSub = $true )
& ( subsetTrans = $true )
& ( singletoninpowunion = $true )
& ( setunion__Cong = $true )
& ( setminusEL = $true )
& ( cartprodpairsurjEq = $true )
& ( eqbreln = $true )
& ( eqimpsubset2 = $true )
& ( setminusI = $true )
& ( exuEu = $true )
& ( theprop = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset3 = $true )
& ( subsetI2 = $true )
& ( wellorderingAx = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( setukpairIR = $true )
& ( setukpairinjR12 = $true )
& ( ksndsingleton = $true )
& ( eta2 = $true )
& ( funcinfuncset = $true )
& ( powersetI = $true )
& ( upairset2IR = $true )
& ( setbeta = $true )
& ( emptysetsubset = $true )
& ( setadjoinOr = $true )
& ( setminusERneg = $true )
& ( binunionE = $true )
& ( subsetRefl = $true )
& ( funcGraphProp1 = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( setminusILneg = $true )
& ( singletonsswitch = $true )
& ( cartprodpairin = $true )
& ( binunionEcases = $true )
& ( setminusELneg = $true )
& ( noeltsimpempty = $true )
& ( funcImageSingleton = $true )
& ( powersetAx = $true )
& ( setadjoinE = $true )
& ( setukpairinjL2 = $true )
& ( binunionIL = $true )
& ( dpsetconstrEL2 = $true )
& ( nonemptyI1 = $true )
& ( subsetE2 = $true )
& ( ubforcartprodlem1 = $true )
& ( subsetE = $true )
& ( cartprodmempaircEq = $true )
& ( sepSubset = $true )
& ( dpsetconstrERa = $true )
& ( setunionsingleton2 = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( notinemptyset = $true )
& ( exuI2 = $true )
& ( kpairiskpair = $true )
& ( lamProp = $true )
& ? [X0: $i,X1: $i,X2: $o] :
( ( $true
= ( in @ X0 @ X1 ) )
& ? [X3: $i] :
( ( $true
!= ( in @ X3
@ ( dsetconstr @ X1
@ ^ [Y0: $i] :
( ( X2
& ( X0 = Y0 ) )
| ( ~ X2
& ( X3 = Y0 ) ) ) ) ) )
& ( ( in @ X3 @ X1 )
= $true )
& ( $true != X2 ) ) )
& ( nonemptyE1 = $true )
& ( funcext2 = $true )
& ( cartprodpairmemEL = $true )
& ( secondinupair = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( ap2p = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( kfstpairEq = $true )
& ( emptyinPowerset = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( notsubsetI = $true )
& ( eta1 = $true )
& ( emptysetE = $true )
& ( binintersectSubset2 = $true )
& ( apProp = $true )
& ( kfstsingleton = $true )
& ( binintersectLsub = $true )
& ( setadjoinIL = $true )
& ( ex1I2 = $true )
& ( setoftrueEq = $true )
& ( cartprodfstin = $true )
& ( setminusIRneg = $true )
& ( inCongP = $true )
& ( singletonsuniq = $true )
& ( quantDeMorgan3 = $true )
& ( binintersectEL = $true )
& ( upairsetIL = $true )
& ( setukpairinjR1 = $true )
& ( dsetconstrEL = $true ) ),
inference(rectify,[],[f698]) ).
thf(f1219,plain,
( ( upairsetIR = $true )
& ( symdiffI2 = $true )
& ( uniqinunit = $true )
& ( infuncsetfunc = $true )
& ( inPowerset = $true )
& ( upairset2E = $true )
& ( setukpairinjR11 = $true )
& ( subPowSU = $true )
& ( setminusLsub = $true )
& ( singletonsubset = $true )
& ( symdiffIneg2 = $true )
& ( quantDeMorgan2 = $true )
& ( ap2apEq2 = $true )
& ( emptyset__Cong = $true )
& ( nonemptyI = $true )
& ( kpairp = $true )
& ( prop2setE = $true )
& ( subbreln = $true )
& ( setukpairinjL1 = $true )
& ( setextAx = $true )
& ( emptyI = $true )
& ( prop2setI = $true )
& ( cartprodmempair1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setunionE2 = $true )
& ( ksndpairEq = $true )
& ( powersetE = $true )
& ( setukpairIL = $true )
& ( setunionsingleton = $true )
& ( lam2p = $true )
& ( funcGraphProp3 = $true )
& ( exuI1 = $true )
& ( upairsetE = $true )
& ( setunionsingleton1 = $true )
& ( ex1E2 = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstr__Cong = $true )
& ( emptyE1 = $true )
& ( funcext = $true )
& ( notequalI1 = $true )
& ( notequalI2 = $true )
& ( vacuousDall = $true )
& ( brelnall2 = $true )
& ( setextsub = $true )
& ( powersetE1 = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( setukpairinjR2 = $true )
& ( exu__Cong = $true )
& ( setadjoinSub = $true )
& ( powersetsubset = $true )
& ( symdiffI1 = $true )
& ( beta2 = $true )
& ( cartprodpairmemER = $true )
& ( singletoninpowerset = $true )
& ( ex1E1 = $true )
& ( setunionAx = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrER = $true )
& ( exuE3e = $true )
& ( setadjoinAx = $true )
& ( bs114d = $true )
& ( binintersectI = $true )
& ( dpsetconstrI = $true )
& ( omega0Ax = $true )
& ( disjointsetsI1 = $true )
& ( prop2set2propI = $true )
& ( sepInPowerset = $true )
& ( dpsetconstrEL1 = $true )
& ( descr__Cong = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusER = $true )
& ( brelnall1 = $true )
& ( setadjoinIR = $true )
& ( notinsingleton = $true )
& ( funcGraphProp4 = $true )
& ( dsetconstrER = $true )
& ( setunionI = $true )
& ( setext = $true )
& ( omega__Cong = $true )
& ( beta1 = $true )
& ( notdallE = $true )
& ( funcGraphProp2 = $true )
& ( app = $true )
& ( binunionLsub = $true )
& ( emptysetAx = $true )
& ( omegaSAx = $true )
& ( singletonprop = $true )
& ( foundationAx = $true )
& ( eqinunit = $true )
& ( powersetI1 = $true )
& ( kpairsurjEq = $true )
& ( symdiffIneg1 = $true )
& ( emptyinunitempty = $true )
& ( upairsubunion = $true )
& ( setminusSubset2 = $true )
& ( dsetconstrI = $true )
& ( ex1I = $true )
& ( funcextLem = $true )
& ( descrp = $true )
& ( setadjoinSub2 = $true )
& ( subset2powerset = $true )
& ( exuI3 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( ubforcartprodlem3 = $true )
& ( quantDeMorgan4 = $true )
& ( nonemptyImpWitness = $true )
& ( upairequniteq = $true )
& ( lamp = $true )
& ( binintersectER = $true )
& ( upairinpowunion = $true )
& ( subsetI1 = $true )
& ( emptyInPowerset = $true )
& ( omegaIndAx = $true )
& ( cartprodsndin = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( dpsetconstrSub = $true )
& ( subsetTrans = $true )
& ( singletoninpowunion = $true )
& ( setunion__Cong = $true )
& ( setminusEL = $true )
& ( cartprodpairsurjEq = $true )
& ( eqbreln = $true )
& ( eqimpsubset2 = $true )
& ( setminusI = $true )
& ( exuEu = $true )
& ( theprop = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset3 = $true )
& ( subsetI2 = $true )
& ( wellorderingAx = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( setukpairIR = $true )
& ( setukpairinjR12 = $true )
& ( ksndsingleton = $true )
& ( eta2 = $true )
& ( funcinfuncset = $true )
& ( powersetI = $true )
& ( upairset2IR = $true )
& ( setbeta = $true )
& ( emptysetsubset = $true )
& ( setadjoinOr = $true )
& ( setminusERneg = $true )
& ( binunionE = $true )
& ( subsetRefl = $true )
& ( funcGraphProp1 = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( setminusILneg = $true )
& ( singletonsswitch = $true )
& ( cartprodpairin = $true )
& ( binunionEcases = $true )
& ( setminusELneg = $true )
& ( noeltsimpempty = $true )
& ( funcImageSingleton = $true )
& ( powersetAx = $true )
& ( setadjoinE = $true )
& ( setukpairinjL2 = $true )
& ( binunionIL = $true )
& ( dpsetconstrEL2 = $true )
& ( nonemptyI1 = $true )
& ( subsetE2 = $true )
& ( ubforcartprodlem1 = $true )
& ( subsetE = $true )
& ( cartprodmempaircEq = $true )
& ( sepSubset = $true )
& ( dpsetconstrERa = $true )
& ( setunionsingleton2 = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( notinemptyset = $true )
& ( exuI2 = $true )
& ( kpairiskpair = $true )
& ( lamProp = $true )
& ( $true
= ( in @ sK299 @ sK300 ) )
& ( $true
!= ( in @ sK302
@ ( dsetconstr @ sK300
@ ^ [Y0: $i] :
( ( sK301
& ( sK299 = Y0 ) )
| ( ~ sK301
& ( sK302 = Y0 ) ) ) ) ) )
& ( ( in @ sK302 @ sK300 )
= $true )
& ( sK301 != $true )
& ( nonemptyE1 = $true )
& ( funcext2 = $true )
& ( cartprodpairmemEL = $true )
& ( secondinupair = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( ap2p = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset1 = $true )
& ( powerset__Cong = $true )
& ( kfstpairEq = $true )
& ( emptyinPowerset = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( in__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( notsubsetI = $true )
& ( eta1 = $true )
& ( emptysetE = $true )
& ( binintersectSubset2 = $true )
& ( apProp = $true )
& ( kfstsingleton = $true )
& ( binintersectLsub = $true )
& ( setadjoinIL = $true )
& ( ex1I2 = $true )
& ( setoftrueEq = $true )
& ( cartprodfstin = $true )
& ( setminusIRneg = $true )
& ( inCongP = $true )
& ( singletonsuniq = $true )
& ( quantDeMorgan3 = $true )
& ( binintersectEL = $true )
& ( upairsetIL = $true )
& ( setukpairinjR1 = $true )
& ( dsetconstrEL = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK299,sK300,sK301,sK302]),skolemize(X0,sK299),skolemize(X1,sK300),skolemize(X2,sK301),skolemize(X3,sK302)],[f1218]) ).
thf(f1423,plain,
( ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( ( X0 @ X1 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
& ( $true
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
& ( ( X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f765]) ).
thf(f1424,plain,
( ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( ( X0 @ X1 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ? [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
= $true )
& ( $true
!= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) )
& ( ( X3 @ X4 )
= $true ) ) ) ),
inference(rectify,[],[f1423]) ).
thf(f1425,plain,
( ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( ( X0 @ X1 )
!= $true ) )
| ( dsetconstrI != $true ) )
& ( ( dsetconstrI = $true )
| ( ( $true
= ( in @ sK502 @ sK503 ) )
& ( ( in @ sK502
@ ( dsetconstr @ sK503
@ ^ [Y0: $i] : ( sK501 @ Y0 ) ) )
!= $true )
& ( $true
= ( sK501 @ sK502 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK501,sK502,sK503]),skolemize(X3,sK501),skolemize(X4,sK502),skolemize(X5,sK503)],[f1424]) ).
thf(f2016,plain,
sK301 != $true,
inference(cnf_transformation,[],[f1219]) ).
thf(f2017,plain,
( ( in @ sK302 @ sK300 )
= $true ),
inference(cnf_transformation,[],[f1219]) ).
thf(f2018,plain,
( $true
!= ( in @ sK302
@ ( dsetconstr @ sK300
@ ^ [Y0: $i] :
( ( sK301
& ( sK299 = Y0 ) )
| ( ~ sK301
& ( sK302 = Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f1219]) ).
thf(f2102,plain,
dsetconstrI = $true,
inference(cnf_transformation,[],[f1219]) ).
thf(f2449,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
| ( dsetconstrI != $true )
| ( ( X0 @ X1 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f1425]) ).
thf(f2781,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) )
| ( dsetconstrI != $true )
| ( ( X0 @ X1 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) ),
inference(beta-eta_normalization,[],[f2449]) ).
thf(f2867,plain,
( ( $true
!= ( ^ [Y0: $i] :
( ( sK301
& ( sK299 = Y0 ) )
| ( ~ sK301
& ( sK302 = Y0 ) ) )
@ sK302 ) )
| ( ( in @ sK302 @ sK300 )
!= $true )
| ( dsetconstrI != $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2018,f2781]) ).
thf(f2874,plain,
( ( dsetconstrI != $true )
| ( ( in @ sK302 @ sK300 )
!= $true )
| ( $true
!= ( ^ [Y0: $i] :
( ( sK301
& ( sK299 = Y0 ) )
| ( ~ sK301
& ( sK302 = Y0 ) ) )
@ sK302 ) ) ),
inference(trivial_inequality_removal,[],[f2867]) ).
thf(f2875,plain,
( ( dsetconstrI != $true )
| ( $true
!= ( ( sK301
& ( sK299 = sK302 ) )
| ( ~ sK301
& ( sK302 = sK302 ) ) ) )
| ( ( in @ sK302 @ sK300 )
!= $true ) ),
inference(beta-eta_normalization,[],[f2874]) ).
thf(f2876,plain,
( ( dsetconstrI != $true )
| ( $false
= ( ~ sK301
& ( sK302 = sK302 ) ) )
| ( ( in @ sK302 @ sK300 )
!= $true ) ),
inference(or_proxy_clausification,[],[f2875]) ).
thf(f2880,plain,
( ( ( in @ sK302 @ sK300 )
!= $true )
| ( ( sK302 = sK302 )
= $false )
| ( dsetconstrI != $true )
| ( ( ~ sK301 ) = $false ) ),
inference(and_proxy_clausification,[],[f2876]) ).
thf(f2881,plain,
( ( ( in @ sK302 @ sK300 )
!= $true )
| ( ( ~ sK301 ) = $false )
| ( sK302 != sK302 )
| ( dsetconstrI != $true ) ),
inference(equality_proxy_clausification,[],[f2880]) ).
thf(f2882,plain,
( ( sK301 = $true )
| ( sK302 != sK302 )
| ( ( in @ sK302 @ sK300 )
!= $true )
| ( dsetconstrI != $true ) ),
inference(not_proxy_clausification,[],[f2881]) ).
thf(f2883,plain,
( ( ( in @ sK302 @ sK300 )
!= $true )
| ( sK301 = $true )
| ( dsetconstrI != $true ) ),
inference(trivial_inequality_removal,[],[f2882]) ).
thf(f2946,plain,
( ( dsetconstrI != $true )
| ( sK301 = $true ) ),
inference(forward_subsumption_resolution,[],[f2883,f2017]) ).
thf(f2957,plain,
sK301 = $true,
inference(forward_subsumption_resolution,[],[f2946,f2102]) ).
thf(f2963,plain,
$false,
inference(forward_subsumption_resolution,[],[f2957,f2016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU700^1 : 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 : n015.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
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 14:15:18 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.22/0.30 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
% 1.03/0.48 % (3588726)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.03/0.48 % (3588733)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2041203314:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.03/0.48 % (3588732)lrs+10_16_si=on:nwc=1.5:random_seed=599722939:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.03/0.48 % (3588733)Instruction limit reached!
% 1.03/0.48 % (3588733)------------------------------
% 1.03/0.48 % (3588733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.48 % (3588733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.48 % (3588733)CaDiCaL version: 2.1.3
% 1.03/0.48 % (3588733)Termination reason: Instruction limit
% 1.03/0.48 % (3588733)Termination phase: shuffling
% 1.03/0.48 % (3588733)Time elapsed: 0.002 s
% 1.03/0.48 % (3588733)Peak memory usage: 10 MB
% 1.03/0.48 % (3588733)Instructions burned: 3 (million)
% 1.03/0.48 % (3588731)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2083509724:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.03/0.49 % (3588732)Instruction limit reached!
% 1.03/0.49 % (3588732)------------------------------
% 1.03/0.49 % (3588732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3588732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3588732)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3588732)Termination reason: Instruction limit
% 1.03/0.49 % (3588732)Termination phase: shuffling
% 1.03/0.49 % (3588732)Time elapsed: 0.008 s
% 1.03/0.49 % (3588732)Peak memory usage: 10 MB
% 1.03/0.49 % (3588732)Instructions burned: 18 (million)
% 1.03/0.49 % (3588734)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=1949528203: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)
% 1.03/0.49 % (3588737)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.03/0.49 % (3588736)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2619148183:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.03/0.49 % (3588740)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2255858094:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.03/0.49 % (3588740)Instruction limit reached!
% 1.03/0.49 % (3588740)------------------------------
% 1.03/0.49 % (3588740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3588740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3588740)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3588740)Termination reason: Instruction limit
% 1.03/0.49 % (3588740)Termination phase: shuffling
% 1.03/0.49 % (3588740)Time elapsed: 0.002 s
% 1.03/0.49 % (3588740)Peak memory usage: 10 MB
% 1.03/0.49 % (3588740)Instructions burned: 3 (million)
% 1.03/0.49 % (3588737)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.49 % (3588742)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2269812770:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.03/0.49 % (3588735)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3126910144:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.03/0.49 % (3588742)Instruction limit reached!
% 1.03/0.49 % (3588742)------------------------------
% 1.03/0.49 % (3588742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3588742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3588737)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=3011497720:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.03/0.49 % (3588742)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3588742)Termination reason: Instruction limit
% 1.03/0.49 % (3588742)Termination phase: shuffling
% 1.03/0.49 % (3588742)Time elapsed: 0.003 s
% 1.03/0.49 % (3588742)Peak memory usage: 10 MB
% 1.03/0.49 % (3588742)Instructions burned: 6 (million)
% 1.03/0.52 % (3588746)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.52 % (3588746)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1878500285:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.03/0.52 % (3588731)Instruction limit reached!
% 1.03/0.52 % (3588731)------------------------------
% 1.03/0.52 % (3588731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3588731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3588731)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3588731)Termination reason: Instruction limit
% 1.03/0.52 % (3588731)Termination phase: Property scanning
% 1.03/0.52 % (3588731)Time elapsed: 0.041 s
% 1.03/0.52 % (3588731)Peak memory usage: 13 MB
% 1.03/0.52 % (3588731)Instructions burned: 89 (million)
% 1.03/0.52 % (3588746)Instruction limit reached!
% 1.03/0.52 % (3588746)------------------------------
% 1.03/0.52 % (3588746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3588746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3588746)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3588746)Termination reason: Instruction limit
% 1.03/0.52 % (3588746)Termination phase: shuffling
% 1.03/0.52 % (3588746)Time elapsed: 0.004 s
% 1.03/0.52 % (3588746)Peak memory usage: 10 MB
% 1.03/0.52 % (3588746)Instructions burned: 8 (million)
% 1.03/0.52 % (3588750)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2651876354:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.03/0.52 % (3588736)Instruction limit reached!
% 1.03/0.52 % (3588736)------------------------------
% 1.03/0.52 % (3588736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3588736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3588736)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3588736)Termination reason: Instruction limit
% 1.03/0.52 % (3588736)Termination phase: Preprocessing 3
% 1.03/0.52 % (3588736)Time elapsed: 0.033 s
% 1.03/0.52 % (3588736)Peak memory usage: 12 MB
% 1.03/0.52 % (3588736)Instructions burned: 76 (million)
% 1.03/0.52 % (3588735)Instruction limit reached!
% 1.03/0.52 % (3588735)------------------------------
% 1.03/0.52 % (3588735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3588735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3588735)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3588735)Termination reason: Instruction limit
% 1.03/0.52 % (3588735)Termination phase: Property scanning
% 1.03/0.52 % (3588735)Time elapsed: 0.026 s
% 1.03/0.52 % (3588735)Peak memory usage: 10 MB
% 1.03/0.52 % (3588735)Instructions burned: 25 (million)
% 1.03/0.52 % (3588750)Instruction limit reached!
% 1.03/0.52 % (3588750)------------------------------
% 1.03/0.52 % (3588750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3588750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3588750)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3588750)Termination reason: Instruction limit
% 1.03/0.52 % (3588750)Termination phase: shuffling
% 1.03/0.52 % (3588750)Time elapsed: 0.006 s
% 1.03/0.52 % (3588750)Peak memory usage: 10 MB
% 1.03/0.52 % (3588750)Instructions burned: 13 (million)
% 1.03/0.52 % (3588752)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.52 % (3588752)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.52 % (3588752)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=138305102:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.03/0.52 % (3588753)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=1018020660:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.03/0.52 % (3588755)lrs+10_1_si=on:cs=on:random_seed=4026194713:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.03/0.52 % (3588757)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2042244510:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.03/0.55 % (3588755)Instruction limit reached!
% 1.03/0.55 % (3588755)------------------------------
% 1.03/0.55 % (3588755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588755)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588755)Termination reason: Instruction limit
% 1.03/0.55 % (3588755)Termination phase: shuffling
% 1.03/0.55 % (3588755)Time elapsed: 0.004 s
% 1.03/0.55 % (3588755)Peak memory usage: 10 MB
% 1.03/0.55 % (3588755)Instructions burned: 8 (million)
% 1.03/0.55 % (3588752)Instruction limit reached!
% 1.03/0.55 % (3588752)------------------------------
% 1.03/0.55 % (3588752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588752)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588752)Termination reason: Instruction limit
% 1.03/0.55 % (3588752)Termination phase: shuffling
% 1.03/0.55 % (3588752)Time elapsed: 0.013 s
% 1.03/0.55 % (3588752)Peak memory usage: 10 MB
% 1.03/0.55 % (3588752)Instructions burned: 28 (million)
% 1.03/0.55 % (3588756)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.03/0.55 % (3588762)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1816300021:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.03/0.55 % (3588756)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=308815771:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.03/0.55 % (3588756)Instruction limit reached!
% 1.03/0.55 % (3588756)------------------------------
% 1.03/0.55 % (3588756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588756)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588756)Termination reason: Instruction limit
% 1.03/0.55 % (3588756)Termination phase: shuffling
% 1.03/0.55 % (3588756)Time elapsed: 0.002 s
% 1.03/0.55 % (3588756)Peak memory usage: 10 MB
% 1.03/0.55 % (3588756)Instructions burned: 3 (million)
% 1.03/0.55 % (3588763)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1537442594:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.03/0.55 % (3588757)Instruction limit reached!
% 1.03/0.55 % (3588757)------------------------------
% 1.03/0.55 % (3588757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588757)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588757)Termination reason: Instruction limit
% 1.03/0.55 % (3588757)Termination phase: Preprocessing 1
% 1.03/0.55 % (3588757)Time elapsed: 0.037 s
% 1.03/0.55 % (3588757)Peak memory usage: 11 MB
% 1.03/0.55 % (3588757)Instructions burned: 39 (million)
% 1.03/0.55 % (3588763)Instruction limit reached!
% 1.03/0.55 % (3588763)------------------------------
% 1.03/0.55 % (3588763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588763)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588763)Termination reason: Instruction limit
% 1.03/0.55 % (3588763)Termination phase: Property scanning
% 1.03/0.55 % (3588763)Time elapsed: 0.012 s
% 1.03/0.55 % (3588763)Peak memory usage: 10 MB
% 1.03/0.55 % (3588763)Instructions burned: 27 (million)
% 1.03/0.55 % (3588753)Instruction limit reached!
% 1.03/0.55 % (3588753)------------------------------
% 1.03/0.55 % (3588753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.55 % (3588753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.55 % (3588753)CaDiCaL version: 2.1.3
% 1.03/0.55 % (3588753)Termination reason: Instruction limit
% 1.03/0.55 % (3588753)Termination phase: Property scanning
% 1.03/0.55 % (3588753)Time elapsed: 0.052 s
% 1.03/0.55 % (3588753)Peak memory usage: 11 MB
% 1.03/0.55 % (3588753)Instructions burned: 89 (million)
% 1.03/0.55 % (3588767)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=571925266:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.61 % (3588769)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4043079709:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.61 % (3588767)Instruction limit reached!
% 1.03/0.61 % (3588767)------------------------------
% 1.03/0.61 % (3588767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3588767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3588767)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3588767)Termination reason: Instruction limit
% 1.03/0.61 % (3588767)Termination phase: shuffling
% 1.03/0.61 % (3588767)Time elapsed: 0.007 s
% 1.03/0.61 % (3588767)Peak memory usage: 10 MB
% 1.03/0.61 % (3588767)Instructions burned: 15 (million)
% 1.03/0.61 % (3588768)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1619474643:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.03/0.61 % (3588769)Instruction limit reached!
% 1.03/0.61 % (3588769)------------------------------
% 1.03/0.61 % (3588769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3588769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3588769)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3588769)Termination reason: Instruction limit
% 1.03/0.61 % (3588769)Termination phase: shuffling
% 1.03/0.61 % (3588769)Time elapsed: 0.006 s
% 1.03/0.61 % (3588769)Peak memory usage: 10 MB
% 1.03/0.61 % (3588769)Instructions burned: 14 (million)
% 1.03/0.61 % (3588770)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1634287063: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)
% 1.03/0.61 % (3588737)Instruction limit reached!
% 1.03/0.61 % (3588737)------------------------------
% 1.03/0.61 % (3588737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3588737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3588737)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3588737)Termination reason: Instruction limit
% 1.03/0.61 % (3588737)Termination phase: Saturation
% 1.03/0.61 % (3588737)Time elapsed: 0.111 s
% 1.03/0.61 % (3588737)Peak memory usage: 14 MB
% 1.03/0.61 % (3588737)Instructions burned: 157 (million)
% 1.03/0.61 % (3588770)Instruction limit reached!
% 1.03/0.61 % (3588770)------------------------------
% 1.03/0.61 % (3588770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3588770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3588770)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3588770)Termination reason: Instruction limit
% 1.03/0.61 % (3588770)Termination phase: shuffling
% 1.03/0.61 % (3588770)Time elapsed: 0.002 s
% 1.03/0.61 % (3588770)Peak memory usage: 10 MB
% 1.03/0.61 % (3588770)Instructions burned: 3 (million)
% 1.03/0.61 % (3588762)Instruction limit reached!
% 1.03/0.61 % (3588762)------------------------------
% 1.03/0.61 % (3588762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3588762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3588762)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3588762)Termination reason: Instruction limit
% 1.03/0.61 % (3588762)Termination phase: Saturation
% 1.03/0.61 % (3588762)Time elapsed: 0.060 s
% 1.03/0.61 % (3588762)Peak memory usage: 15 MB
% 1.03/0.61 % (3588762)Instructions burned: 251 (million)
% 1.03/0.61 % (3588773)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3740002261:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.03/0.61 % (3588779)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.03/0.61 % (3588778)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.61 % (3588778)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.03/0.61 % (3588775)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2554371435:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.03/0.61 % (3588779)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=1931555212:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.24/0.68 % (3588777)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=350647072:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.24/0.68 % (3588778)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=2703147230:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.24/0.68 % (3588779)Instruction limit reached!
% 2.24/0.68 % (3588779)------------------------------
% 2.24/0.68 % (3588779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.68 % (3588779)CaDiCaL version: 2.1.3
% 2.24/0.68 % (3588779)Termination reason: Instruction limit
% 2.24/0.68 % (3588779)Termination phase: shuffling
% 2.24/0.68 % (3588779)Time elapsed: 0.003 s
% 2.24/0.68 % (3588779)Peak memory usage: 10 MB
% 2.24/0.68 % (3588779)Instructions burned: 14 (million)
% 2.24/0.68 % (3588773)Instruction limit reached!
% 2.24/0.68 % (3588773)------------------------------
% 2.24/0.68 % (3588773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.68 % (3588773)CaDiCaL version: 2.1.3
% 2.24/0.68 % (3588773)Termination reason: Instruction limit
% 2.24/0.68 % (3588773)Termination phase: shuffling
% 2.24/0.68 % (3588773)Time elapsed: 0.012 s
% 2.24/0.68 % (3588773)Peak memory usage: 10 MB
% 2.24/0.68 % (3588773)Instructions burned: 27 (million)
% 2.24/0.68 % (3588778)Instruction limit reached!
% 2.24/0.68 % (3588778)------------------------------
% 2.24/0.68 % (3588778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.68 % (3588778)CaDiCaL version: 2.1.3
% 2.24/0.68 % (3588778)Termination reason: Instruction limit
% 2.24/0.68 % (3588778)Termination phase: shuffling
% 2.24/0.68 % (3588778)Time elapsed: 0.007 s
% 2.24/0.68 % (3588778)Peak memory usage: 10 MB
% 2.24/0.68 % (3588778)Instructions burned: 15 (million)
% 2.24/0.68 % (3588775)Instruction limit reached!
% 2.24/0.68 % (3588775)------------------------------
% 2.24/0.68 % (3588775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.68 % (3588775)CaDiCaL version: 2.1.3
% 2.24/0.68 % (3588775)Termination reason: Instruction limit
% 2.24/0.68 % (3588775)Termination phase: shuffling
% 2.24/0.68 % (3588775)Time elapsed: 0.011 s
% 2.24/0.68 % (3588775)Peak memory usage: 10 MB
% 2.24/0.68 % (3588775)Instructions burned: 25 (million)
% 2.24/0.68 % (3588785)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=747255327:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.24/0.68 % (3588785)Instruction limit reached!
% 2.24/0.68 % (3588785)------------------------------
% 2.24/0.68 % (3588785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.68 % (3588785)CaDiCaL version: 2.1.3
% 2.24/0.68 % (3588785)Termination reason: Instruction limit
% 2.24/0.68 % (3588785)Termination phase: Property scanning
% 2.24/0.68 % (3588785)Time elapsed: 0.008 s
% 2.24/0.68 % (3588785)Peak memory usage: 10 MB
% 2.24/0.68 % (3588785)Instructions burned: 34 (million)
% 2.24/0.68 % (3588786)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=446669413:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.24/0.68 % (3588787)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1636971252:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.24/0.68 % (3588777)Instruction limit reached!
% 2.24/0.68 % (3588777)------------------------------
% 2.24/0.68 % (3588777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.68 % (3588777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588777)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588777)Termination reason: Instruction limit
% 2.53/0.74 % (3588777)Termination phase: Preprocessing 3
% 2.53/0.74 % (3588777)Time elapsed: 0.028 s
% 2.53/0.74 % (3588777)Peak memory usage: 12 MB
% 2.53/0.74 % (3588777)Instructions burned: 60 (million)
% 2.53/0.74 % (3588786)Instruction limit reached!
% 2.53/0.74 % (3588786)------------------------------
% 2.53/0.74 % (3588786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.74 % (3588786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588786)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588786)Termination reason: Instruction limit
% 2.53/0.74 % (3588786)Termination phase: shuffling
% 2.53/0.74 % (3588786)Time elapsed: 0.003 s
% 2.53/0.74 % (3588786)Peak memory usage: 10 MB
% 2.53/0.74 % (3588786)Instructions burned: 7 (million)
% 2.53/0.74 % (3588790)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2518442383:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.53/0.74 % (3588787)Instruction limit reached!
% 2.53/0.74 % (3588787)------------------------------
% 2.53/0.74 % (3588787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.74 % (3588787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588787)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588787)Termination reason: Instruction limit
% 2.53/0.74 % (3588787)Termination phase: shuffling
% 2.53/0.74 % (3588787)Time elapsed: 0.011 s
% 2.53/0.74 % (3588787)Peak memory usage: 10 MB
% 2.53/0.74 % (3588787)Instructions burned: 24 (million)
% 2.53/0.74 % (3588788)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3730346391:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.53/0.74 % (3588793)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=495200085:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.53/0.74 % (3588796)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1402568981:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.53/0.74 % (3588788)Instruction limit reached!
% 2.53/0.74 % (3588788)------------------------------
% 2.53/0.74 % (3588788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.74 % (3588788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588788)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588788)Termination reason: Instruction limit
% 2.53/0.74 % (3588788)Termination phase: shuffling
% 2.53/0.74 % (3588788)Time elapsed: 0.017 s
% 2.53/0.74 % (3588788)Peak memory usage: 10 MB
% 2.53/0.74 % (3588788)Instructions burned: 20 (million)
% 2.53/0.74 % (3588794)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3451733345:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.53/0.74 % (3588800)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.53/0.74 % (3588800)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=150154266:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.53/0.74 % (3588800)Instruction limit reached!
% 2.53/0.74 % (3588800)------------------------------
% 2.53/0.74 % (3588800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.74 % (3588800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588800)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588800)Termination reason: Instruction limit
% 2.53/0.74 % (3588800)Termination phase: shuffling
% 2.53/0.74 % (3588800)Time elapsed: 0.003 s
% 2.53/0.74 % (3588800)Peak memory usage: 10 MB
% 2.53/0.74 % (3588800)Instructions burned: 11 (million)
% 2.53/0.74 % (3588796)Instruction limit reached!
% 2.53/0.74 % (3588796)------------------------------
% 2.53/0.74 % (3588796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.74 % (3588796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.74 % (3588796)CaDiCaL version: 2.1.3
% 2.53/0.74 % (3588796)Termination reason: Instruction limit
% 2.53/0.74 % (3588796)Termination phase: Property scanning
% 2.53/0.74 % (3588796)Time elapsed: 0.019 s
% 2.53/0.74 % (3588796)Peak memory usage: 11 MB
% 2.53/0.74 % (3588796)Instructions burned: 43 (million)
% 2.53/0.74 % (3588803)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=616357869:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.86/0.81 % (3588804)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=1816787822: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)
% 2.86/0.81 % (3588793)Instruction limit reached!
% 2.86/0.81 % (3588793)------------------------------
% 2.86/0.81 % (3588793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588793)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588793)Termination reason: Instruction limit
% 2.86/0.81 % (3588793)Termination phase: Saturation
% 2.86/0.81 % (3588793)Time elapsed: 0.061 s
% 2.86/0.81 % (3588793)Peak memory usage: 13 MB
% 2.86/0.81 % (3588793)Instructions burned: 145 (million)
% 2.86/0.81 % (3588807)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.86/0.81 % (3588803)Instruction limit reached!
% 2.86/0.81 % (3588803)------------------------------
% 2.86/0.81 % (3588803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588803)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588803)Termination reason: Instruction limit
% 2.86/0.81 % (3588803)Termination phase: Saturation
% 2.86/0.81 % (3588803)Time elapsed: 0.042 s
% 2.86/0.81 % (3588803)Peak memory usage: 14 MB
% 2.86/0.81 % (3588803)Instructions burned: 184 (million)
% 2.86/0.81 % (3588807)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1125328978:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.86/0.81 % (3588807)Instruction limit reached!
% 2.86/0.81 % (3588807)------------------------------
% 2.86/0.81 % (3588807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588807)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588807)Termination reason: Instruction limit
% 2.86/0.81 % (3588807)Termination phase: shuffling
% 2.86/0.81 % (3588807)Time elapsed: 0.003 s
% 2.86/0.81 % (3588807)Peak memory usage: 10 MB
% 2.86/0.81 % (3588807)Instructions burned: 6 (million)
% 2.86/0.81 % (3588809)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2975836591:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.86/0.81 % (3588810)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1980069916:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.86/0.81 % (3588768)Instruction limit reached!
% 2.86/0.81 % (3588768)------------------------------
% 2.86/0.81 % (3588768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588768)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588768)Termination reason: Instruction limit
% 2.86/0.81 % (3588768)Termination phase: Saturation
% 2.86/0.81 % (3588768)Time elapsed: 0.181 s
% 2.86/0.81 % (3588768)Peak memory usage: 14 MB
% 2.86/0.81 % (3588768)Instructions burned: 328 (million)
% 2.86/0.81 % (3588809)Instruction limit reached!
% 2.86/0.81 % (3588809)------------------------------
% 2.86/0.81 % (3588809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588809)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588809)Termination reason: Instruction limit
% 2.86/0.81 % (3588809)Termination phase: shuffling
% 2.86/0.81 % (3588809)Time elapsed: 0.010 s
% 2.86/0.81 % (3588809)Peak memory usage: 10 MB
% 2.86/0.81 % (3588809)Instructions burned: 22 (million)
% 2.86/0.81 % (3588810)Instruction limit reached!
% 2.86/0.81 % (3588810)------------------------------
% 2.86/0.81 % (3588810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (3588810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (3588810)CaDiCaL version: 2.1.3
% 2.86/0.81 % (3588810)Termination reason: Instruction limit
% 2.86/0.81 % (3588810)Termination phase: shuffling
% 2.86/0.81 % (3588810)Time elapsed: 0.009 s
% 2.86/0.82 % (3588810)Peak memory usage: 10 MB
% 2.86/0.82 % (3588810)Instructions burned: 21 (million)
% 2.86/0.82 % (3588804)Instruction limit reached!
% 2.86/0.82 % (3588804)------------------------------
% 2.86/0.82 % (3588804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588804)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588804)Termination reason: Instruction limit
% 2.86/0.82 % (3588804)Termination phase: Saturation
% 2.86/0.82 % (3588804)Time elapsed: 0.072 s
% 2.86/0.82 % (3588804)Peak memory usage: 13 MB
% 2.86/0.82 % (3588804)Instructions burned: 170 (million)
% 2.86/0.82 % (3588815)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=1396005357: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)
% 2.86/0.82 % (3588813)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=3468264456:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.86/0.82 % (3588814)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=3350232775: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)
% 2.86/0.82 % (3588815)Instruction limit reached!
% 2.86/0.82 % (3588815)------------------------------
% 2.86/0.82 % (3588815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588815)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588815)Termination reason: Instruction limit
% 2.86/0.82 % (3588815)Termination phase: SInE selection
% 2.86/0.82 % (3588815)Time elapsed: 0.011 s
% 2.86/0.82 % (3588815)Peak memory usage: 11 MB
% 2.86/0.82 % (3588815)Instructions burned: 45 (million)
% 2.86/0.82 % (3588734)Instruction limit reached!
% 2.86/0.82 % (3588734)------------------------------
% 2.86/0.82 % (3588734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588734)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588734)Termination reason: Instruction limit
% 2.86/0.82 % (3588734)Termination phase: Saturation
% 2.86/0.82 % (3588734)Time elapsed: 0.335 s
% 2.86/0.82 % (3588734)Peak memory usage: 20 MB
% 2.86/0.82 % (3588734)Instructions burned: 635 (million)
% 2.86/0.82 % (3588816)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=723682534:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.86/0.82 % (3588820)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4073723135: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)
% 2.86/0.82 % (3588820)Instruction limit reached!
% 2.86/0.82 % (3588820)------------------------------
% 2.86/0.82 % (3588820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588820)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588820)Termination reason: Instruction limit
% 2.86/0.82 % (3588820)Termination phase: shuffling
% 2.86/0.82 % (3588820)Time elapsed: 0.006 s
% 2.86/0.82 % (3588820)Peak memory usage: 10 MB
% 2.86/0.82 % (3588820)Instructions burned: 25 (million)
% 2.86/0.82 % (3588821)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.86/0.82 % (3588821)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2532140030:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.86/0.82 % (3588794)Instruction limit reached!
% 2.86/0.82 % (3588794)------------------------------
% 2.86/0.82 % (3588794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588794)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588794)Termination reason: Instruction limit
% 2.86/0.82 % (3588794)Termination phase: Saturation
% 2.86/0.82 % (3588794)Time elapsed: 0.154 s
% 2.86/0.82 % (3588794)Peak memory usage: 13 MB
% 2.86/0.82 % (3588794)Instructions burned: 194 (million)
% 2.86/0.82 % (3588824)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2974702102:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.86/0.82 % (3588824)Instruction limit reached!
% 2.86/0.82 % (3588824)------------------------------
% 2.86/0.82 % (3588824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588824)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588824)Termination reason: Instruction limit
% 2.86/0.82 % (3588824)Termination phase: shuffling
% 2.86/0.82 % (3588824)Time elapsed: 0.006 s
% 2.86/0.82 % (3588824)Peak memory usage: 10 MB
% 2.86/0.82 % (3588824)Instructions burned: 13 (million)
% 2.86/0.82 % (3588827)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=2133694927:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.86/0.82 % (3588828)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1385465696:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.86/0.82 % (3588827)Instruction limit reached!
% 2.86/0.82 % (3588827)------------------------------
% 2.86/0.82 % (3588827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588827)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588827)Termination reason: Instruction limit
% 2.86/0.82 % (3588827)Termination phase: SInE selection
% 2.86/0.82 % (3588827)Time elapsed: 0.015 s
% 2.86/0.82 % (3588827)Peak memory usage: 11 MB
% 2.86/0.82 % (3588827)Instructions burned: 67 (million)
% 2.86/0.82 % (3588831)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2392278808:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.86/0.82 % (3588831)Instruction limit reached!
% 2.86/0.82 % (3588831)------------------------------
% 2.86/0.82 % (3588831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588831)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588831)Termination reason: Instruction limit
% 2.86/0.82 % (3588831)Termination phase: Property scanning
% 2.86/0.82 % (3588831)Time elapsed: 0.008 s
% 2.86/0.82 % (3588831)Peak memory usage: 10 MB
% 2.86/0.82 % (3588831)Instructions burned: 34 (million)
% 2.86/0.82 % (3588828)Instruction limit reached!
% 2.86/0.82 % (3588828)------------------------------
% 2.86/0.82 % (3588828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588828)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588828)Termination reason: Instruction limit
% 2.86/0.82 % (3588828)Termination phase: Property scanning
% 2.86/0.82 % (3588828)Time elapsed: 0.022 s
% 2.86/0.82 % (3588828)Peak memory usage: 11 MB
% 2.86/0.82 % (3588828)Instructions burned: 52 (million)
% 2.86/0.82 % (3588834)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=2155443009:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.86/0.82 % (3588833)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3954618193:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.86/0.82 % (3588834)Instruction limit reached!
% 2.86/0.82 % (3588834)------------------------------
% 2.86/0.82 % (3588834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588834)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588834)Termination reason: Instruction limit
% 2.86/0.82 % (3588834)Termination phase: Property scanning
% 2.86/0.82 % (3588834)Time elapsed: 0.009 s
% 2.86/0.82 % (3588834)Peak memory usage: 10 MB
% 2.86/0.82 % (3588834)Instructions burned: 39 (million)
% 2.86/0.82 % (3588821)Instruction limit reached!
% 2.86/0.82 % (3588821)------------------------------
% 2.86/0.82 % (3588821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.82 % (3588821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.82 % (3588821)CaDiCaL version: 2.1.3
% 2.86/0.82 % (3588821)Termination reason: Instruction limit
% 2.86/0.82 % (3588821)Termination phase: Saturation
% 2.86/0.82 % (3588821)Time elapsed: 0.087 s
% 2.86/0.82 % (3588821)Peak memory usage: 14 MB
% 2.86/0.82 % (3588821)Instructions burned: 201 (million)
% 2.86/0.82 % (3588816) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3588726-3588816"...
% 2.86/0.82 % (3588837)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1519321576:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 2.86/0.82 % (3588816)...printing done.
% 2.86/0.82 % (3588816)Refutation found. Thanks to Tanya!
% 2.86/0.82 % SZS status Theorem for theBenchmark
% 2.86/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/0.83 % (3588816)------------------------------
% 2.86/0.83 % (3588816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.83 % (3588816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.83 % (3588816)CaDiCaL version: 2.1.3
% 2.86/0.83 % (3588816)Termination reason: Refutation
% 2.86/0.83 % (3588816)Time elapsed: 0.112 s
% 2.86/0.83 % (3588816)Peak memory usage: 16 MB
% 2.86/0.83 % (3588816)Instructions burned: 233 (million)
% 2.86/0.83 % (3588726)Success in time 0.515 s
% 2.86/0.83 % Vampire exiting
%------------------------------------------------------------------------------