%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU713^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:30:55 AM UTC 2026
% Result : Theorem 2.47s 0.71s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 4697 (1311 equ; 0 cnn)
% Maximal formula atoms : 232 ( 79 avg)
% Number of connectives : 2399 ( 82 ~; 65 |; 948 &; 360 @)
% ( 8 <=>; 936 =>; 0 <=; 0 <~>)
% Maximal formula depth : 240 ( 36 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 460 ( 457 usr; 265 con; 0-4 aty)
% Number of variables : 115 ( 0 ^; 88 !; 27 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_270,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_271,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_272,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_273,type,
vOR: $o > $o > $o ).
thf(func_def_274,type,
vAND: $o > $o > $o ).
thf(func_def_275,type,
vNOT: $o > $o ).
thf(func_def_276,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_277,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_278,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_279,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_280,type,
vIMP: $o > $o > $o ).
thf(func_def_281,type,
sP0: $i > $i > $o ).
thf(func_def_282,type,
sP1: $i > $o ).
thf(func_def_283,type,
sP2: $i > $i > $o ).
thf(func_def_284,type,
sP3: $i > $i > $o ).
thf(func_def_285,type,
sP4: $o ).
thf(func_def_286,type,
sP5: $o ).
thf(func_def_287,type,
sP6: $o ).
thf(func_def_288,type,
sP7: $i > $i > $i > $i > $o ).
thf(func_def_289,type,
sP8: $o ).
thf(func_def_290,type,
sP9: $o ).
thf(func_def_291,type,
sP10: $i > $o > $i > $i > $o ).
thf(func_def_292,type,
sK11: $i > $o ).
thf(func_def_295,type,
sK14: $i > ( $i > $o ) > $i ).
thf(func_def_299,type,
sK18: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_300,type,
sK19: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_304,type,
sK23: $i > $o ).
thf(func_def_309,type,
sK28: $i > $i > $i > $i ).
thf(func_def_310,type,
sK29: $i > $i > $i > $i ).
thf(func_def_316,type,
sK35: $i > ( $i > $i ) > $i > $i ).
thf(func_def_318,type,
sK37: $i > $i ).
thf(func_def_328,type,
sK47: ( $i > $o ) > $i > $i ).
thf(func_def_330,type,
sK49: $i > $o ).
thf(func_def_335,type,
sK54: $o ).
thf(func_def_336,type,
sK55: $o ).
thf(func_def_343,type,
sK62: $i > ( $i > $o ) > $i ).
thf(func_def_344,type,
sK63: $i > $o ).
thf(func_def_348,type,
sK67: $o ).
thf(func_def_355,type,
sK74: $i > $i > $i > $i > $i ).
thf(func_def_362,type,
sK81: $i > $i > $i ).
thf(func_def_376,type,
sK95: $o ).
thf(func_def_388,type,
sK107: $i > $i > $o ).
thf(func_def_393,type,
sK112: $i > $i ).
thf(func_def_396,type,
sK115: $i > $i > ( $i > $i ) > $i ).
thf(func_def_408,type,
sK127: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_409,type,
sK128: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_412,type,
sK131: $i > $o ).
thf(func_def_413,type,
sK132: $i > $o ).
thf(func_def_415,type,
sK134: $i > $i ).
thf(func_def_426,type,
sK145: $i > $i > $i ).
thf(func_def_430,type,
sK149: ( $i > $o ) > $i ).
thf(func_def_431,type,
sK150: $i > $o ).
thf(func_def_432,type,
sK151: $i > $i ).
thf(func_def_446,type,
sK165: $i > $i > $i ).
thf(func_def_447,type,
sK166: $i > $i > $i ).
thf(func_def_448,type,
sK167: $i > $i > $i ).
thf(func_def_449,type,
sK168: $i > $i > $i ).
thf(func_def_450,type,
sK169: $i > $i > $i ).
thf(func_def_451,type,
sK170: $i > $i > $i > $i ).
thf(func_def_452,type,
sK171: $i > $i ).
thf(func_def_453,type,
sK172: $i > $i ).
thf(func_def_454,type,
sK173: $i > $i ).
thf(func_def_455,type,
sK174: $i > $i ).
thf(func_def_456,type,
sK175: $i > $i > $i ).
thf(func_def_457,type,
sK176: $i > $i > $i > $i ).
thf(func_def_458,type,
sK177: $i > $i > $i > $i ).
thf(func_def_459,type,
sK178: $i > $i > $i ).
thf(func_def_460,type,
sK179: $i > $i > $i ).
thf(func_def_462,type,
sK181: $i > $i ).
thf(func_def_463,type,
sK182: $i > $i ).
thf(func_def_464,type,
sK183: $i > $i ).
thf(func_def_465,type,
sK184: $i > ( $i > $i ) > $i > $i ).
thf(func_def_467,type,
sK186: $i > $i ).
thf(func_def_474,type,
sK193: $o ).
thf(func_def_481,type,
sK200: $i > $i > $i > $i > $i ).
thf(func_def_489,type,
sK208: $o ).
thf(func_def_491,type,
sK210: $i > $o ).
thf(func_def_493,type,
sK212: ( $i > $o ) > $i > $i ).
thf(func_def_494,type,
sK213: ( $i > $o ) > $i ).
thf(func_def_495,type,
sK214: $i > $o ).
thf(func_def_496,type,
sK215: $i > $i ).
thf(func_def_499,type,
sK218: $i > $i > $o ).
thf(func_def_504,type,
sK223: ( $i > $o ) > $i ).
thf(func_def_505,type,
sK224: $i > $o ).
thf(func_def_514,type,
sK233: $i > $o ).
thf(func_def_517,type,
sK236: $i > $i > $i ).
thf(func_def_521,type,
sK240: $i > $o ).
thf(func_def_523,type,
sK242: ( $i > $o ) > $i > $i ).
thf(func_def_524,type,
sK243: ( $i > $o ) > $i > $i ).
thf(func_def_532,type,
sK251: $i > $o ).
thf(func_def_533,type,
sK252: $i > $o ).
thf(func_def_534,type,
sK253: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_535,type,
sK254: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_540,type,
sK259: $o ).
thf(func_def_547,type,
sK266: $i > $i > $i ).
thf(func_def_555,type,
sK274: $i > $o ).
thf(func_def_556,type,
sK275: $i > $o ).
thf(func_def_565,type,
sK284: $i > $i > $o ).
thf(func_def_574,type,
sK293: $i > $o ).
thf(func_def_586,type,
sK305: ( $i > $o ) > $i > $i ).
thf(func_def_588,type,
sK307: $i > $o ).
thf(func_def_589,type,
sK308: $i > $i > $o ).
thf(func_def_597,type,
sK316: $o ).
thf(func_def_600,type,
sK319: $i > $o ).
thf(func_def_603,type,
sK322: $i > ( $i > $o ) > $i ).
thf(func_def_635,type,
sK354: $i > $o ).
thf(func_def_647,type,
sK366: $i > $o ).
thf(func_def_665,type,
sK384: $i > $i > $i ).
thf(func_def_684,type,
sK403: $o ).
thf(func_def_690,type,
sK409: $i > $o ).
thf(func_def_691,type,
sK410: $i > $o ).
thf(func_def_692,type,
sK411: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_693,type,
sK412: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_700,type,
sK419: $o ).
thf(func_def_730,type,
sK449: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_731,type,
sK450: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_735,type,
sK454: $i > $o ).
thf(func_def_738,type,
sK457: $i > $o ).
thf(func_def_740,type,
sK459: $i > ( $i > $o ) > $i > $i ).
thf(func_def_744,type,
sK463: $o ).
thf(func_def_754,type,
sK473: $i > $i ).
thf(func_def_760,type,
sK479: $i > $o ).
thf(func_def_764,type,
sK483: $i > $i > ( $i > $i ) > $i ).
thf(func_def_765,type,
sK484: $i > $i ).
thf(func_def_778,type,
sK497: $i > $i > $i ).
thf(func_def_779,type,
sK498: $i > $i > $i ).
thf(func_def_793,type,
sK512: $i > $i > $o ).
thf(func_def_798,type,
sK517: $o ).
thf(func_def_803,type,
sK522: $i > $o ).
thf(func_def_804,type,
sK523: $i > $i ).
thf(func_def_810,type,
sK529: $o ).
thf(func_def_811,type,
sK530: $o > $i > $i > $i ).
thf(func_def_818,type,
sK537: $i > $i ).
thf(func_def_820,type,
sK539: $i > $i ).
thf(func_def_823,type,
sK542: $i > $i > $o ).
thf(func_def_824,type,
sK543: $i > $i ).
thf(func_def_825,type,
sK544: $i > $i ).
thf(func_def_826,type,
sK545: ( $i > $i > $o ) > $i > $i ).
thf(func_def_827,type,
sK546: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_828,type,
sK547: ( $i > $i > $o ) > $i > $i ).
thf(func_def_829,type,
sK548: $i > $o ).
thf(func_def_831,type,
sK550: $i > ( $i > $o ) > $i ).
thf(func_def_842,type,
sK561: $i > $i > $i > $i > $i ).
thf(func_def_855,type,
sK574: $i > $i > $o ).
thf(func_def_868,type,
sK587: ( $i > $o ) > $i > $i ).
thf(func_def_870,type,
sK589: $i > $o ).
thf(func_def_875,type,
sK594: $o ).
thf(func_def_877,type,
sK596: $i > $o ).
thf(func_def_889,type,
sK608: $i > $i > $i > $i > $i ).
thf(func_def_890,type,
sK609: $i > $i > $i > $i > $i ).
thf(func_def_893,type,
sK612: $o ).
thf(func_def_903,type,
sK622: $i > $i > $i > $i > $i ).
thf(func_def_904,type,
sK623: $i > $i > $i > $i > $i ).
thf(func_def_905,type,
sK624: $i > $i > $i > $i > $i ).
thf(func_def_906,type,
sK625: $i > $i > $i > $i > $i ).
thf(func_def_908,type,
sK627: $i > $i ).
thf(func_def_917,type,
sK636: $i > $i > ( $i > $i ) > $i ).
thf(func_def_918,type,
sK637: $i > $i ).
thf(func_def_921,type,
sK640: ( $i > $o ) > $i ).
thf(func_def_922,type,
sK641: ( $i > $o ) > $i ).
thf(func_def_923,type,
sK642: $i > $o ).
thf(func_def_927,type,
sK646: $i > $i > $i ).
thf(func_def_936,type,
sK655: $i > $o ).
thf(func_def_939,type,
sK658: $i > ( $i > $o ) > $i ).
thf(func_def_940,type,
sK659: $i > ( $i > $o ) > $i ).
thf(func_def_944,type,
sK663: $o ).
thf(func_def_955,type,
sK674: $i > $o ).
thf(func_def_960,type,
sK679: $i > $i > $i ).
thf(func_def_961,type,
sK680: $i > $o ).
thf(func_def_967,type,
sK686: $i > $i > $i ).
thf(func_def_971,type,
sK690: $i > $o ).
thf(func_def_973,type,
sK692: $i > ( $i > $o ) > $i ).
thf(func_def_976,type,
sK695: $i > $o ).
thf(func_def_977,type,
sK696: $i > $o ).
thf(func_def_981,type,
sK700: $o ).
thf(func_def_993,type,
sK712: $i > $i ).
thf(func_def_994,type,
sK713: ( $i > $i ) > $i > $i > $i ).
thf(func_def_998,type,
sK717: $i > $i ).
thf(func_def_1000,type,
sK719: $i > $i > $o ).
thf(f89,axiom,
( subsetTrans
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X2 )
=> ( subset @ X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetTrans) ).
thf(f92,axiom,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( in @ X0 @ ( powerset @ X1 ) ) )
= subset2powerset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2powerset) ).
thf(f96,axiom,
! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= powersetE1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE1) ).
thf(f128,axiom,
! [X1: $i,X0: $i] :
( ( subset @ ( setminus @ X0 @ X1 ) @ X0 )
= setminusLsub ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusLsub) ).
thf(f234,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusT_lem) ).
thf(f235,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f234]) ).
thf(f370,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
=> ( subset @ X0 @ X1 ) )
= powersetE1 ),
inference(rectify,[],[f96]) ).
thf(f371,plain,
( ( powersetE1 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ( ( subset @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f370]) ).
thf(f395,plain,
( subsetTrans
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X2 )
=> ( subset @ X0 @ X2 ) ) ) ) ),
inference(rectify,[],[f89]) ).
thf(f396,plain,
( ( subsetTrans = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( ( subset @ X1 @ X2 )
= $true )
=> ( ( subset @ X0 @ X2 )
= $true ) ) ) ),
inference(fool_elimination,[],[f395]) ).
thf(f403,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( setminus @ X1 @ X0 ) @ X1 )
= setminusLsub ),
inference(rectify,[],[f128]) ).
thf(f404,plain,
( ( setminusLsub = $true )
<=> ! [X1: $i,X0: $i] :
( $true
= ( subset @ ( setminus @ X1 @ X0 ) @ X1 ) ) ),
inference(fool_elimination,[],[f403]) ).
thf(f440,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( in @ ( setminus @ X0 @ X2 ) @ ( powerset @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f235]) ).
thf(f441,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
=> ( $true
= ( in @ ( setminus @ X0 @ X2 ) @ ( powerset @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f440]) ).
thf(f689,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( in @ X0 @ ( powerset @ X1 ) ) )
= subset2powerset ),
inference(rectify,[],[f92]) ).
thf(f690,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
<=> ( subset2powerset = $true ) ),
inference(fool_elimination,[],[f689]) ).
thf(f768,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X0 @ X2 ) @ ( powerset @ X1 ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f441]) ).
thf(f769,plain,
( ( inCongP = $true )
& ( singletonprop = $true )
& ( binintersectEL = $true )
& ( nonemptyE1 = $true )
& ( wellorderingAx = $true )
& ( prop2set2propI = $true )
& ( kpairiskpair = $true )
& ( uniqinunit = $true )
& ( subsetE2 = $true )
& ( binintersectER = $true )
& ( powersetI = $true )
& ( ex1I = $true )
& ( notsubsetI = $true )
& ( singletoninpowunion = $true )
& ( subbreln = $true )
& ( funcImageSingleton = $true )
& ( beta2 = $true )
& ( binintersectSubset1 = $true )
& ( nonemptyI1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( ifSingleton = $true )
& ( dsetconstrEL = $true )
& ( setukpairinjR1 = $true )
& ( quantDeMorgan1 = $true )
& ( apProp = $true )
& ( cartprodmempaircEq = $true )
& ( setminusSubset2 = $true )
& ( setadjoinAx = $true )
& ( emptyinunitempty = $true )
& ( sepSubset = $true )
& ( exuE2 = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( subsetTrans = $true )
& ( nonemptyI = $true )
& ( notequalI2 = $true )
& ( emptysetE = $true )
& ( setminusER = $true )
& ( symdiffI1 = $true )
& ( quantDeMorgan3 = $true )
& ( emptyset__Cong = $true )
& ( setminusSubset1 = $true )
& ( omega__Cong = $true )
& ( upairsetIL = $true )
& ( iftrue = $true )
& ( ap2p = $true )
& ( setadjoin__Cong = $true )
& ( theprop = $true )
& ( cartprodsndin = $true )
& ( eta2 = $true )
& ( setminusLsub = $true )
& ( binintersectSubset3 = $true )
& ( setunionE = $true )
& ( ifp = $true )
& ( powerset__Cong = $true )
& ( binintersectLsub = $true )
& ( cartprodfstin = $true )
& ( ap2apEq2 = $true )
& ( kpairsurjEq = $true )
& ( cartprodfstpairEq = $true )
& ( funcext = $true )
& ( dsetconstrER = $true )
& ( kfstsingleton = $true )
& ( dpsetconstrEL2 = $true )
& ( omegaIndAx = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( lam2p = $true )
& ( ex1I2 = $true )
& ( upairequniteq = $true )
& ( setadjoinSub = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( setadjoinOr = $true )
& ( prop2setE = $true )
& ( dsetconstrI = $true )
& ( powersetI1 = $true )
& ( iffalseProp2 = $true )
& ( upairsetE = $true )
& ( vacuousDall = $true )
& ( setextAx = $true )
& ( setukpairIL = $true )
& ( binunionT_lem = $true )
& ( setadjoinSub2 = $true )
& ( powersetE = $true )
& ( dpsetconstrI = $true )
& ( dpsetconstrER = $true )
& ( binintersectRsub = $true )
& ( inPowerset = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( setextsub = $true )
& ( ksndsingleton = $true )
& ( eqimpsubset2 = $true )
& ( setminusILneg = $true )
& ( sepInPowerset = $true )
& ( descr__Cong = $true )
& ( upairset2E = $true )
& ( omega0Ax = $true )
& ( ex1E2 = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( dpsetconstrERa = $true )
& ( notequalI1 = $true )
& ( symdiffIneg1 = $true )
& ( exuE3u = $true )
& ( emptysetimpfalse = $true )
& ( notinemptyset = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem3 = $true )
& ( disjointsetsI1 = $true )
& ( funcGraphProp3 = $true )
& ( setminusEL = $true )
& ( ksndpairEq = $true )
& ( eqbreln = $true )
& ( ap2apEq1 = $true )
& ( subsetI1 = $true )
& ( binintersectSubset2 = $true )
& ( funcextLem = $true )
& ( setminusERneg = $true )
& ( setbeta = $true )
& ( beta1 = $true )
& ( nonemptyImpWitness = $true )
& ( kfstpairEq = $true )
& ( upairsetIR = $true )
& ( setminusELneg = $true )
& ( exuE3e = $true )
& ( binunionEcases = $true )
& ( binintersectSubset4 = $true )
& ( theeq = $true )
& ( funcGraphProp1 = $true )
& ( emptysetsubset = $true )
& ( funcext2 = $true )
& ( powersetAx = $true )
& ( funcGraphProp2 = $true )
& ( subsetE = $true )
& ( setukpairinjL = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( binunionLsub = $true )
& ( app = $true )
& ( emptyE1 = $true )
& ( cartprodpairsurjEq = $true )
& ( setext = $true )
& ( singletonsswitch = $true )
& ( notdallE = $true )
& ( binintersectT_lem = $true )
& ( brelnall1 = $true )
& ( upairsubunion = $true )
& ( emptyInPowerset = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( emptysetAx = $true )
& ( bs114d = $true )
& ( iftrueProp2 = $true )
& ( subset2powerset = $true )
& ( lam2lamEq = $true )
& ( cartprodpairmemEL = $true )
& ( iftrueProp1 = $true )
& ( singletonsuniq = $true )
& ( setOfPairsIsBReln = $true )
& ( powersetsubset = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsubset = $true )
& ( eqimpsubset1 = $true )
& ( cartprodpairin = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( setukpairinjL1 = $true )
& ( eta1 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIL = $true )
& ( subsetRefl = $true )
& ( infuncsetfunc = $true )
& ( lamProp = $true )
& ( setunion__Cong = $true )
& ( setukpairinjL2 = $true )
& ( quantDeMorgan4 = $true )
& ( powersetE1 = $true )
& ( kpairp = $true )
& ( exuI2 = $true )
& ( setadjoinE = $true )
& ( setunionsingleton = $true )
& ( prop2setI = $true )
& ( binintersectI = $true )
& ( upairset2IR = $true )
& ( exuI1 = $true )
& ( iftrueorfalse = $true )
& ( setadjoinIR = $true )
& ( brelnall2 = $true )
& ( binunionE = $true )
& ( setukpairinjR12 = $true )
& ( powersetT_lem = $true )
& ( binintersectSubset5 = $true )
& ( exuE1 = $true )
& ( cartprodmempair1 = $true )
& ( secondinupair = $true )
& ( singletoninpowerset = $true )
& ( symdiffIneg2 = $true )
& ( omegaSAx = $true )
& ( emptyinPowerset = $true )
& ( cartprodsndpairEq = $true )
& ( setunionE2 = $true )
& ( subsetI2 = $true )
& ( replAx = $true )
& ( setunionAx = $true )
& ( upairinpowunion = $true )
& ( iffalse = $true )
& ( setunionI = $true )
& ( lamp = $true )
& ( ex1E1 = $true )
& ( subPowSU = $true )
& ( cartprodpairmemER = $true )
& ( subsetemptysetimpeq = $true )
& ( descrp = $true )
& ( setukpairinjR11 = $true )
& ( funcinfuncset = $true )
& ( dpsetconstrEL1 = $true )
& ( exuEu = $true )
& ( exuI3 = $true )
& ( setukpairinjR = $true )
& ( symdiffI2 = $true )
& ( foundationAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X0 @ X2 ) @ ( powerset @ X1 ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( iffalseProp1 = $true ) ),
inference(flattening,[],[f768]) ).
thf(f796,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
<=> ( subset2powerset = $true ) ),
inference(ennf_transformation,[],[f690]) ).
thf(f818,plain,
( ( powersetE1 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f371]) ).
thf(f849,plain,
( ( subsetTrans = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f396]) ).
thf(f850,plain,
( ( subsetTrans = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ) ),
inference(flattening,[],[f849]) ).
thf(f1279,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( subset2powerset != $true ) )
& ( ( subset2powerset = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
& ( ( subset @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f796]) ).
thf(f1280,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( subset2powerset != $true ) )
& ( ( subset2powerset = $true )
| ? [X2: $i,X3: $i] :
( ( ( in @ X2 @ ( powerset @ X3 ) )
!= $true )
& ( ( subset @ X2 @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f1279]) ).
thf(f1281,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( subset2powerset != $true ) )
& ( ( subset2powerset = $true )
| ( ( $true
!= ( in @ sK303 @ ( powerset @ sK304 ) ) )
& ( ( subset @ sK303 @ sK304 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK303,sK304]),skolemize(X2,sK303),skolemize(X3,sK304)],[f1280]) ).
thf(f1468,plain,
( ( inCongP = $true )
& ( singletonprop = $true )
& ( binintersectEL = $true )
& ( nonemptyE1 = $true )
& ( wellorderingAx = $true )
& ( prop2set2propI = $true )
& ( kpairiskpair = $true )
& ( uniqinunit = $true )
& ( subsetE2 = $true )
& ( binintersectER = $true )
& ( powersetI = $true )
& ( ex1I = $true )
& ( notsubsetI = $true )
& ( singletoninpowunion = $true )
& ( subbreln = $true )
& ( funcImageSingleton = $true )
& ( beta2 = $true )
& ( binintersectSubset1 = $true )
& ( nonemptyI1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( ifSingleton = $true )
& ( dsetconstrEL = $true )
& ( setukpairinjR1 = $true )
& ( quantDeMorgan1 = $true )
& ( apProp = $true )
& ( cartprodmempaircEq = $true )
& ( setminusSubset2 = $true )
& ( setadjoinAx = $true )
& ( emptyinunitempty = $true )
& ( sepSubset = $true )
& ( exuE2 = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( subsetTrans = $true )
& ( nonemptyI = $true )
& ( notequalI2 = $true )
& ( emptysetE = $true )
& ( setminusER = $true )
& ( symdiffI1 = $true )
& ( quantDeMorgan3 = $true )
& ( emptyset__Cong = $true )
& ( setminusSubset1 = $true )
& ( omega__Cong = $true )
& ( upairsetIL = $true )
& ( iftrue = $true )
& ( ap2p = $true )
& ( setadjoin__Cong = $true )
& ( theprop = $true )
& ( cartprodsndin = $true )
& ( eta2 = $true )
& ( setminusLsub = $true )
& ( binintersectSubset3 = $true )
& ( setunionE = $true )
& ( ifp = $true )
& ( powerset__Cong = $true )
& ( binintersectLsub = $true )
& ( cartprodfstin = $true )
& ( ap2apEq2 = $true )
& ( kpairsurjEq = $true )
& ( cartprodfstpairEq = $true )
& ( funcext = $true )
& ( dsetconstrER = $true )
& ( kfstsingleton = $true )
& ( dpsetconstrEL2 = $true )
& ( omegaIndAx = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( lam2p = $true )
& ( ex1I2 = $true )
& ( upairequniteq = $true )
& ( setadjoinSub = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( setadjoinOr = $true )
& ( prop2setE = $true )
& ( dsetconstrI = $true )
& ( powersetI1 = $true )
& ( iffalseProp2 = $true )
& ( upairsetE = $true )
& ( vacuousDall = $true )
& ( setextAx = $true )
& ( setukpairIL = $true )
& ( binunionT_lem = $true )
& ( setadjoinSub2 = $true )
& ( powersetE = $true )
& ( dpsetconstrI = $true )
& ( dpsetconstrER = $true )
& ( binintersectRsub = $true )
& ( inPowerset = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( setextsub = $true )
& ( ksndsingleton = $true )
& ( eqimpsubset2 = $true )
& ( setminusILneg = $true )
& ( sepInPowerset = $true )
& ( descr__Cong = $true )
& ( upairset2E = $true )
& ( omega0Ax = $true )
& ( ex1E2 = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( dpsetconstrERa = $true )
& ( notequalI1 = $true )
& ( symdiffIneg1 = $true )
& ( exuE3u = $true )
& ( emptysetimpfalse = $true )
& ( notinemptyset = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem3 = $true )
& ( disjointsetsI1 = $true )
& ( funcGraphProp3 = $true )
& ( setminusEL = $true )
& ( ksndpairEq = $true )
& ( eqbreln = $true )
& ( ap2apEq1 = $true )
& ( subsetI1 = $true )
& ( binintersectSubset2 = $true )
& ( funcextLem = $true )
& ( setminusERneg = $true )
& ( setbeta = $true )
& ( beta1 = $true )
& ( nonemptyImpWitness = $true )
& ( kfstpairEq = $true )
& ( upairsetIR = $true )
& ( setminusELneg = $true )
& ( exuE3e = $true )
& ( binunionEcases = $true )
& ( binintersectSubset4 = $true )
& ( theeq = $true )
& ( funcGraphProp1 = $true )
& ( emptysetsubset = $true )
& ( funcext2 = $true )
& ( powersetAx = $true )
& ( funcGraphProp2 = $true )
& ( subsetE = $true )
& ( setukpairinjL = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( binunionLsub = $true )
& ( app = $true )
& ( emptyE1 = $true )
& ( cartprodpairsurjEq = $true )
& ( setext = $true )
& ( singletonsswitch = $true )
& ( notdallE = $true )
& ( binintersectT_lem = $true )
& ( brelnall1 = $true )
& ( upairsubunion = $true )
& ( emptyInPowerset = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( emptysetAx = $true )
& ( bs114d = $true )
& ( iftrueProp2 = $true )
& ( subset2powerset = $true )
& ( lam2lamEq = $true )
& ( cartprodpairmemEL = $true )
& ( iftrueProp1 = $true )
& ( singletonsuniq = $true )
& ( setOfPairsIsBReln = $true )
& ( powersetsubset = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsubset = $true )
& ( eqimpsubset1 = $true )
& ( cartprodpairin = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( setukpairinjL1 = $true )
& ( eta1 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIL = $true )
& ( subsetRefl = $true )
& ( infuncsetfunc = $true )
& ( lamProp = $true )
& ( setunion__Cong = $true )
& ( setukpairinjL2 = $true )
& ( quantDeMorgan4 = $true )
& ( powersetE1 = $true )
& ( kpairp = $true )
& ( exuI2 = $true )
& ( setadjoinE = $true )
& ( setunionsingleton = $true )
& ( prop2setI = $true )
& ( binintersectI = $true )
& ( upairset2IR = $true )
& ( exuI1 = $true )
& ( iftrueorfalse = $true )
& ( setadjoinIR = $true )
& ( brelnall2 = $true )
& ( binunionE = $true )
& ( setukpairinjR12 = $true )
& ( powersetT_lem = $true )
& ( binintersectSubset5 = $true )
& ( exuE1 = $true )
& ( cartprodmempair1 = $true )
& ( secondinupair = $true )
& ( singletoninpowerset = $true )
& ( symdiffIneg2 = $true )
& ( omegaSAx = $true )
& ( emptyinPowerset = $true )
& ( cartprodsndpairEq = $true )
& ( setunionE2 = $true )
& ( subsetI2 = $true )
& ( replAx = $true )
& ( setunionAx = $true )
& ( upairinpowunion = $true )
& ( iffalse = $true )
& ( setunionI = $true )
& ( lamp = $true )
& ( ex1E1 = $true )
& ( subPowSU = $true )
& ( cartprodpairmemER = $true )
& ( subsetemptysetimpeq = $true )
& ( descrp = $true )
& ( setukpairinjR11 = $true )
& ( funcinfuncset = $true )
& ( dpsetconstrEL1 = $true )
& ( exuEu = $true )
& ( exuI3 = $true )
& ( setukpairinjR = $true )
& ( symdiffI2 = $true )
& ( foundationAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( iffalseProp1 = $true ) ),
inference(rectify,[],[f769]) ).
thf(f1469,plain,
( ( inCongP = $true )
& ( singletonprop = $true )
& ( binintersectEL = $true )
& ( nonemptyE1 = $true )
& ( wellorderingAx = $true )
& ( prop2set2propI = $true )
& ( kpairiskpair = $true )
& ( uniqinunit = $true )
& ( subsetE2 = $true )
& ( binintersectER = $true )
& ( powersetI = $true )
& ( ex1I = $true )
& ( notsubsetI = $true )
& ( singletoninpowunion = $true )
& ( subbreln = $true )
& ( funcImageSingleton = $true )
& ( beta2 = $true )
& ( binintersectSubset1 = $true )
& ( nonemptyI1 = $true )
& ( setunionsingleton2 = $true )
& ( setminusIRneg = $true )
& ( ifSingleton = $true )
& ( dsetconstrEL = $true )
& ( setukpairinjR1 = $true )
& ( quantDeMorgan1 = $true )
& ( apProp = $true )
& ( cartprodmempaircEq = $true )
& ( setminusSubset2 = $true )
& ( setadjoinAx = $true )
& ( emptyinunitempty = $true )
& ( sepSubset = $true )
& ( exuE2 = $true )
& ( funcGraphProp4 = $true )
& ( eqinunit = $true )
& ( subsetTrans = $true )
& ( nonemptyI = $true )
& ( notequalI2 = $true )
& ( emptysetE = $true )
& ( setminusER = $true )
& ( symdiffI1 = $true )
& ( quantDeMorgan3 = $true )
& ( emptyset__Cong = $true )
& ( setminusSubset1 = $true )
& ( omega__Cong = $true )
& ( upairsetIL = $true )
& ( iftrue = $true )
& ( ap2p = $true )
& ( setadjoin__Cong = $true )
& ( theprop = $true )
& ( cartprodsndin = $true )
& ( eta2 = $true )
& ( setminusLsub = $true )
& ( binintersectSubset3 = $true )
& ( setunionE = $true )
& ( ifp = $true )
& ( powerset__Cong = $true )
& ( binintersectLsub = $true )
& ( cartprodfstin = $true )
& ( ap2apEq2 = $true )
& ( kpairsurjEq = $true )
& ( cartprodfstpairEq = $true )
& ( funcext = $true )
& ( dsetconstrER = $true )
& ( kfstsingleton = $true )
& ( dpsetconstrEL2 = $true )
& ( omegaIndAx = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( lam2p = $true )
& ( ex1I2 = $true )
& ( upairequniteq = $true )
& ( setadjoinSub = $true )
& ( cartprodmempair = $true )
& ( binunionRsub = $true )
& ( setadjoinOr = $true )
& ( prop2setE = $true )
& ( dsetconstrI = $true )
& ( powersetI1 = $true )
& ( iffalseProp2 = $true )
& ( upairsetE = $true )
& ( vacuousDall = $true )
& ( setextAx = $true )
& ( setukpairIL = $true )
& ( binunionT_lem = $true )
& ( setadjoinSub2 = $true )
& ( powersetE = $true )
& ( dpsetconstrI = $true )
& ( dpsetconstrER = $true )
& ( binintersectRsub = $true )
& ( inPowerset = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( setextsub = $true )
& ( ksndsingleton = $true )
& ( eqimpsubset2 = $true )
& ( setminusILneg = $true )
& ( sepInPowerset = $true )
& ( descr__Cong = $true )
& ( upairset2E = $true )
& ( omega0Ax = $true )
& ( ex1E2 = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( dpsetconstrERa = $true )
& ( notequalI1 = $true )
& ( symdiffIneg1 = $true )
& ( exuE3u = $true )
& ( emptysetimpfalse = $true )
& ( notinemptyset = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem3 = $true )
& ( disjointsetsI1 = $true )
& ( funcGraphProp3 = $true )
& ( setminusEL = $true )
& ( ksndpairEq = $true )
& ( eqbreln = $true )
& ( ap2apEq1 = $true )
& ( subsetI1 = $true )
& ( binintersectSubset2 = $true )
& ( funcextLem = $true )
& ( setminusERneg = $true )
& ( setbeta = $true )
& ( beta1 = $true )
& ( nonemptyImpWitness = $true )
& ( kfstpairEq = $true )
& ( upairsetIR = $true )
& ( setminusELneg = $true )
& ( exuE3e = $true )
& ( binunionEcases = $true )
& ( binintersectSubset4 = $true )
& ( theeq = $true )
& ( funcGraphProp1 = $true )
& ( emptysetsubset = $true )
& ( funcext2 = $true )
& ( powersetAx = $true )
& ( funcGraphProp2 = $true )
& ( subsetE = $true )
& ( setukpairinjL = $true )
& ( setoftrueEq = $true )
& ( symdiffE = $true )
& ( binunionLsub = $true )
& ( app = $true )
& ( emptyE1 = $true )
& ( cartprodpairsurjEq = $true )
& ( setext = $true )
& ( singletonsswitch = $true )
& ( notdallE = $true )
& ( binintersectT_lem = $true )
& ( brelnall1 = $true )
& ( upairsubunion = $true )
& ( emptyInPowerset = $true )
& ( setminusI = $true )
& ( setunionsingleton1 = $true )
& ( emptysetAx = $true )
& ( bs114d = $true )
& ( iftrueProp2 = $true )
& ( subset2powerset = $true )
& ( lam2lamEq = $true )
& ( cartprodpairmemEL = $true )
& ( iftrueProp1 = $true )
& ( singletonsuniq = $true )
& ( setOfPairsIsBReln = $true )
& ( powersetsubset = $true )
& ( dsetconstr__Cong = $true )
& ( singletonsubset = $true )
& ( eqimpsubset1 = $true )
& ( cartprodpairin = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( setukpairinjL1 = $true )
& ( eta1 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIL = $true )
& ( subsetRefl = $true )
& ( infuncsetfunc = $true )
& ( lamProp = $true )
& ( setunion__Cong = $true )
& ( setukpairinjL2 = $true )
& ( quantDeMorgan4 = $true )
& ( powersetE1 = $true )
& ( kpairp = $true )
& ( exuI2 = $true )
& ( setadjoinE = $true )
& ( setunionsingleton = $true )
& ( prop2setI = $true )
& ( binintersectI = $true )
& ( upairset2IR = $true )
& ( exuI1 = $true )
& ( iftrueorfalse = $true )
& ( setadjoinIR = $true )
& ( brelnall2 = $true )
& ( binunionE = $true )
& ( setukpairinjR12 = $true )
& ( powersetT_lem = $true )
& ( binintersectSubset5 = $true )
& ( exuE1 = $true )
& ( cartprodmempair1 = $true )
& ( secondinupair = $true )
& ( singletoninpowerset = $true )
& ( symdiffIneg2 = $true )
& ( omegaSAx = $true )
& ( emptyinPowerset = $true )
& ( cartprodsndpairEq = $true )
& ( setunionE2 = $true )
& ( subsetI2 = $true )
& ( replAx = $true )
& ( setunionAx = $true )
& ( upairinpowunion = $true )
& ( iffalse = $true )
& ( setunionI = $true )
& ( lamp = $true )
& ( ex1E1 = $true )
& ( subPowSU = $true )
& ( cartprodpairmemER = $true )
& ( subsetemptysetimpeq = $true )
& ( descrp = $true )
& ( setukpairinjR11 = $true )
& ( funcinfuncset = $true )
& ( dpsetconstrEL1 = $true )
& ( exuEu = $true )
& ( exuI3 = $true )
& ( setukpairinjR = $true )
& ( symdiffI2 = $true )
& ( foundationAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ( ( in @ sK492 @ ( powerset @ sK490 ) )
= $true )
& ( $true
!= ( in @ ( setminus @ sK491 @ sK492 ) @ ( powerset @ sK490 ) ) )
& ( $true
= ( in @ sK491 @ ( powerset @ sK490 ) ) )
& ( iffalseProp1 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK490,sK491,sK492]),skolemize(X0,sK490),skolemize(X1,sK491),skolemize(X2,sK492)],[f1468]) ).
thf(f1473,plain,
( ( ( setminusLsub = $true )
| ? [X1: $i,X0: $i] :
( $true
!= ( subset @ ( setminus @ X1 @ X0 ) @ X1 ) ) )
& ( ! [X1: $i,X0: $i] :
( $true
= ( subset @ ( setminus @ X1 @ X0 ) @ X1 ) )
| ( setminusLsub != $true ) ) ),
inference(nnf_transformation,[],[f404]) ).
thf(f1474,plain,
( ( ( setminusLsub = $true )
| ? [X0: $i,X1: $i] :
( ( subset @ ( setminus @ X0 @ X1 ) @ X0 )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( $true
= ( subset @ ( setminus @ X2 @ X3 ) @ X2 ) )
| ( setminusLsub != $true ) ) ),
inference(rectify,[],[f1473]) ).
thf(f1475,plain,
( ( ( setminusLsub = $true )
| ( $true
!= ( subset @ ( setminus @ sK495 @ sK496 ) @ sK495 ) ) )
& ( ! [X2: $i,X3: $i] :
( $true
= ( subset @ ( setminus @ X2 @ X3 ) @ X2 ) )
| ( setminusLsub != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK495,sK496]),skolemize(X0,sK495),skolemize(X1,sK496)],[f1474]) ).
thf(f1479,plain,
( ( ( powersetE1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( powersetE1 != $true ) ) ),
inference(nnf_transformation,[],[f818]) ).
thf(f1480,plain,
( ( ( powersetE1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
| ( ( in @ X2 @ ( powerset @ X3 ) )
!= $true ) )
| ( powersetE1 != $true ) ) ),
inference(rectify,[],[f1479]) ).
thf(f1481,plain,
( ( ( powersetE1 = $true )
| ( ( ( subset @ sK501 @ sK502 )
!= $true )
& ( $true
= ( in @ sK501 @ ( powerset @ sK502 ) ) ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
| ( ( in @ X2 @ ( powerset @ X3 ) )
!= $true ) )
| ( powersetE1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK501,sK502]),skolemize(X0,sK501),skolemize(X1,sK502)],[f1480]) ).
thf(f1541,plain,
( ( ( subsetTrans = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
& ( ( subset @ X1 @ X2 )
= $true )
& ( ( subset @ X0 @ X1 )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( subsetTrans != $true ) ) ),
inference(nnf_transformation,[],[f850]) ).
thf(f1542,plain,
( ( ( subsetTrans = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
& ( ( subset @ X1 @ X2 )
= $true )
& ( ( subset @ X0 @ X1 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
= $true )
| ( $true
!= ( subset @ X4 @ X5 ) )
| ( ( subset @ X3 @ X4 )
!= $true ) )
| ( subsetTrans != $true ) ) ),
inference(rectify,[],[f1541]) ).
thf(f1543,plain,
( ( ( subsetTrans = $true )
| ( ( ( subset @ sK564 @ sK566 )
!= $true )
& ( ( subset @ sK565 @ sK566 )
= $true )
& ( $true
= ( subset @ sK564 @ sK565 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
= $true )
| ( $true
!= ( subset @ X4 @ X5 ) )
| ( ( subset @ X3 @ X4 )
!= $true ) )
| ( subsetTrans != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK564,sK565,sK566]),skolemize(X0,sK564),skolemize(X1,sK565),skolemize(X2,sK566)],[f1542]) ).
thf(f2089,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( subset2powerset != $true ) ),
inference(cnf_transformation,[],[f1281]) ).
thf(f2320,plain,
( $true
= ( in @ sK491 @ ( powerset @ sK490 ) ) ),
inference(cnf_transformation,[],[f1469]) ).
thf(f2321,plain,
( $true
!= ( in @ ( setminus @ sK491 @ sK492 ) @ ( powerset @ sK490 ) ) ),
inference(cnf_transformation,[],[f1469]) ).
thf(f2369,plain,
powersetE1 = $true,
inference(cnf_transformation,[],[f1469]) ).
thf(f2392,plain,
subset2powerset = $true,
inference(cnf_transformation,[],[f1469]) ).
thf(f2499,plain,
setminusLsub = $true,
inference(cnf_transformation,[],[f1469]) ).
thf(f2516,plain,
subsetTrans = $true,
inference(cnf_transformation,[],[f1469]) ).
thf(f2553,plain,
! [X2: $i,X3: $i] :
( ( $true
= ( subset @ ( setminus @ X2 @ X3 ) @ X2 ) )
| ( setminusLsub != $true ) ),
inference(cnf_transformation,[],[f1475]) ).
thf(f2562,plain,
! [X2: $i,X3: $i] :
( ( ( in @ X2 @ ( powerset @ X3 ) )
!= $true )
| ( ( subset @ X2 @ X3 )
= $true )
| ( powersetE1 != $true ) ),
inference(cnf_transformation,[],[f1481]) ).
thf(f2646,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
= $true )
| ( subsetTrans != $true )
| ( $true
!= ( subset @ X4 @ X5 ) )
| ( ( subset @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f1543]) ).
thf(f3034,plain,
( ( $true != $true )
| ( powersetE1 != $true )
| ( ( subset @ sK491 @ sK490 )
= $true ) ),
inference(constrained_superposition,[],[f2562,f2320]) ).
thf(f3041,plain,
( ( powersetE1 != $true )
| ( ( subset @ sK491 @ sK490 )
= $true ) ),
inference(trivial_inequality_removal,[],[f3034]) ).
thf(f3046,plain,
( ( subset @ sK491 @ sK490 )
= $true ),
inference(forward_subsumption_resolution,[],[f3041,f2369]) ).
thf(f3073,plain,
( ( subset2powerset != $true )
| ( ( subset @ ( setminus @ sK491 @ sK492 ) @ sK490 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2321,f2089]) ).
thf(f3082,plain,
( ( ( subset @ ( setminus @ sK491 @ sK492 ) @ sK490 )
!= $true )
| ( subset2powerset != $true ) ),
inference(trivial_inequality_removal,[],[f3073]) ).
thf(f3089,plain,
( ( subset @ ( setminus @ sK491 @ sK492 ) @ sK490 )
!= $true ),
inference(forward_subsumption_resolution,[],[f3082,f2392]) ).
thf(f3161,plain,
! [X0: $i] :
( ( ( subset @ ( setminus @ sK491 @ sK492 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( subset @ X0 @ sK490 )
!= $true )
| ( subsetTrans != $true ) ),
inference(constrained_superposition,[],[f3089,f2646]) ).
thf(f3167,plain,
! [X0: $i] :
( ( subsetTrans != $true )
| ( ( subset @ X0 @ sK490 )
!= $true )
| ( ( subset @ ( setminus @ sK491 @ sK492 ) @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3161]) ).
thf(f3171,plain,
! [X0: $i] :
( ( ( subset @ ( setminus @ sK491 @ sK492 ) @ X0 )
!= $true )
| ( ( subset @ X0 @ sK490 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f3167,f2516]) ).
thf(f4639,plain,
( ( $true != $true )
| ( setminusLsub != $true )
| ( ( subset @ sK491 @ sK490 )
!= $true ) ),
inference(constrained_superposition,[],[f3171,f2553]) ).
thf(f4697,plain,
( ( setminusLsub != $true )
| ( ( subset @ sK491 @ sK490 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f4639]) ).
thf(f4725,plain,
( ( subset @ sK491 @ sK490 )
!= $true ),
inference(forward_subsumption_resolution,[],[f4697,f2499]) ).
thf(f4775,plain,
$false,
inference(forward_subsumption_resolution,[],[f4725,f3046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU713^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n007.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:11:41 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.23/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.40 % (3428140)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.40 % (3428150)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=660701578:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.40 % (3428151)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.40 % (3428151)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.40 % (3428145)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2888009294:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.40 % (3428146)lrs+10_16_si=on:nwc=1.5:random_seed=3505113344:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.40 % (3428147)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1672780541:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.40 % (3428148)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=4041718286:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.55/0.40 % (3428149)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3560945351:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.40 % (3428151)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=1187784749:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.40 % (3428147)Instruction limit reached!
% 0.55/0.40 % (3428147)------------------------------
% 0.55/0.40 % (3428147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.40 % (3428147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.40 % (3428147)CaDiCaL version: 2.1.3
% 0.55/0.40 % (3428147)Termination reason: Instruction limit
% 0.55/0.40 % (3428147)Termination phase: shuffling
% 0.55/0.40 % (3428147)Time elapsed: 0.002 s
% 0.55/0.40 % (3428147)Peak memory usage: 10 MB
% 0.55/0.40 % (3428147)Instructions burned: 4 (million)
% 0.55/0.40 % (3428146)Instruction limit reached!
% 0.55/0.40 % (3428146)------------------------------
% 0.55/0.40 % (3428146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.40 % (3428146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.40 % (3428146)CaDiCaL version: 2.1.3
% 0.55/0.40 % (3428146)Termination reason: Instruction limit
% 0.55/0.40 % (3428146)Termination phase: shuffling
% 0.55/0.40 % (3428146)Time elapsed: 0.009 s
% 0.55/0.40 % (3428146)Peak memory usage: 10 MB
% 0.55/0.40 % (3428146)Instructions burned: 20 (million)
% 0.55/0.40 % (3428150)Instruction limit reached!
% 0.55/0.40 % (3428150)------------------------------
% 0.55/0.40 % (3428150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.40 % (3428150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.40 % (3428150)CaDiCaL version: 2.1.3
% 0.55/0.40 % (3428150)Termination reason: Instruction limit
% 0.55/0.40 % (3428150)Termination phase: Preprocessing 3
% 0.55/0.40 % (3428150)Time elapsed: 0.019 s
% 0.55/0.40 % (3428150)Peak memory usage: 12 MB
% 0.55/0.40 % (3428150)Instructions burned: 77 (million)
% 0.55/0.40 % (3428149)Instruction limit reached!
% 0.55/0.40 % (3428149)------------------------------
% 0.55/0.40 % (3428149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.40 % (3428149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.40 % (3428149)CaDiCaL version: 2.1.3
% 0.55/0.40 % (3428149)Termination reason: Instruction limit
% 0.55/0.40 % (3428149)Termination phase: Property scanning
% 0.55/0.40 % (3428149)Time elapsed: 0.011 s
% 0.55/0.40 % (3428149)Peak memory usage: 10 MB
% 0.55/0.40 % (3428149)Instructions burned: 24 (million)
% 0.55/0.40 % (3428161)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.40 % (3428161)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=956048687:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.44 % (3428159)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3365411067:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.44 % (3428161)Instruction limit reached!
% 0.55/0.44 % (3428161)------------------------------
% 0.55/0.44 % (3428161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428161)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428161)Termination reason: Instruction limit
% 0.55/0.44 % (3428161)Termination phase: shuffling
% 0.55/0.44 % (3428161)Time elapsed: 0.002 s
% 0.55/0.44 % (3428161)Peak memory usage: 10 MB
% 0.55/0.44 % (3428161)Instructions burned: 7 (million)
% 0.55/0.44 % (3428159)Instruction limit reached!
% 0.55/0.44 % (3428159)------------------------------
% 0.55/0.44 % (3428159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428159)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428159)Termination reason: Instruction limit
% 0.55/0.44 % (3428159)Termination phase: shuffling
% 0.55/0.44 % (3428159)Time elapsed: 0.002 s
% 0.55/0.44 % (3428159)Peak memory usage: 10 MB
% 0.55/0.44 % (3428159)Instructions burned: 3 (million)
% 0.55/0.44 % (3428160)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=928836002:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.44 % (3428162)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3664216072:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.44 % (3428160)Instruction limit reached!
% 0.55/0.44 % (3428160)------------------------------
% 0.55/0.44 % (3428160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428160)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428160)Termination reason: Instruction limit
% 0.55/0.44 % (3428160)Termination phase: shuffling
% 0.55/0.44 % (3428160)Time elapsed: 0.003 s
% 0.55/0.44 % (3428160)Peak memory usage: 10 MB
% 0.55/0.44 % (3428160)Instructions burned: 6 (million)
% 0.55/0.44 % (3428165)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.44 % (3428165)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.44 % (3428165)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1920022520:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.44 % (3428162)Instruction limit reached!
% 0.55/0.44 % (3428162)------------------------------
% 0.55/0.44 % (3428162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428162)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428162)Termination reason: Instruction limit
% 0.55/0.44 % (3428162)Termination phase: shuffling
% 0.55/0.44 % (3428162)Time elapsed: 0.006 s
% 0.55/0.44 % (3428162)Peak memory usage: 10 MB
% 0.55/0.44 % (3428162)Instructions burned: 13 (million)
% 0.55/0.44 % (3428145)Instruction limit reached!
% 0.55/0.44 % (3428145)------------------------------
% 0.55/0.44 % (3428145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428145)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428145)Termination reason: Instruction limit
% 0.55/0.44 % (3428145)Termination phase: Preprocessing 3
% 0.55/0.44 % (3428145)Time elapsed: 0.040 s
% 0.55/0.44 % (3428145)Peak memory usage: 13 MB
% 0.55/0.44 % (3428145)Instructions burned: 87 (million)
% 0.55/0.44 % (3428165)Instruction limit reached!
% 0.55/0.44 % (3428165)------------------------------
% 0.55/0.44 % (3428165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3428165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3428165)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3428165)Termination reason: Instruction limit
% 1.26/0.47 % (3428165)Termination phase: shuffling
% 1.26/0.47 % (3428165)Time elapsed: 0.007 s
% 1.26/0.47 % (3428165)Peak memory usage: 10 MB
% 1.26/0.47 % (3428165)Instructions burned: 32 (million)
% 1.26/0.47 % (3428166)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=1165240408:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.26/0.47 % (3428169)lrs+10_1_si=on:cs=on:random_seed=1027718589:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.26/0.47 % (3428171)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.26/0.47 % (3428173)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1624612227:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.26/0.47 % (3428169)Instruction limit reached!
% 1.26/0.47 % (3428169)------------------------------
% 1.26/0.47 % (3428169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3428169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3428169)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3428169)Termination reason: Instruction limit
% 1.26/0.47 % (3428169)Termination phase: shuffling
% 1.26/0.47 % (3428169)Time elapsed: 0.004 s
% 1.26/0.47 % (3428169)Peak memory usage: 10 MB
% 1.26/0.47 % (3428169)Instructions burned: 8 (million)
% 1.26/0.47 % (3428171)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=2688951895:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.47 % (3428172)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=791714412:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.26/0.47 % (3428171)Instruction limit reached!
% 1.26/0.47 % (3428171)------------------------------
% 1.26/0.47 % (3428171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3428171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3428171)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3428171)Termination reason: Instruction limit
% 1.26/0.47 % (3428171)Termination phase: shuffling
% 1.26/0.47 % (3428171)Time elapsed: 0.002 s
% 1.26/0.47 % (3428171)Peak memory usage: 10 MB
% 1.26/0.47 % (3428171)Instructions burned: 4 (million)
% 1.26/0.47 % (3428151)Instruction limit reached!
% 1.26/0.47 % (3428151)------------------------------
% 1.26/0.47 % (3428151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3428151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3428151)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3428151)Termination reason: Instruction limit
% 1.26/0.47 % (3428151)Termination phase: Saturation
% 1.26/0.47 % (3428151)Time elapsed: 0.066 s
% 1.26/0.47 % (3428151)Peak memory usage: 14 MB
% 1.26/0.47 % (3428151)Instructions burned: 158 (million)
% 1.26/0.47 % (3428177)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1111124289:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.26/0.47 % (3428172)Instruction limit reached!
% 1.26/0.47 % (3428172)------------------------------
% 1.26/0.47 % (3428172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3428172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3428172)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3428172)Termination reason: Instruction limit
% 1.26/0.47 % (3428172)Termination phase: SInE selection
% 1.26/0.47 % (3428172)Time elapsed: 0.017 s
% 1.26/0.47 % (3428172)Peak memory usage: 11 MB
% 1.26/0.47 % (3428172)Instructions burned: 39 (million)
% 1.26/0.47 % (3428180)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1983063009:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.47 % (3428166)Instruction limit reached!
% 1.26/0.47 % (3428166)------------------------------
% 1.26/0.47 % (3428166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (3428166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (3428166)CaDiCaL version: 2.1.3
% 1.26/0.47 % (3428166)Termination reason: Instruction limit
% 1.26/0.47 % (3428166)Termination phase: Function definition elimination
% 1.26/0.51 % (3428166)Time elapsed: 0.036 s
% 1.26/0.51 % (3428166)Peak memory usage: 11 MB
% 1.26/0.51 % (3428166)Instructions burned: 87 (million)
% 1.26/0.51 % (3428180)Instruction limit reached!
% 1.26/0.51 % (3428180)------------------------------
% 1.26/0.51 % (3428180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428180)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428180)Termination reason: Instruction limit
% 1.26/0.51 % (3428180)Termination phase: shuffling
% 1.26/0.51 % (3428180)Time elapsed: 0.007 s
% 1.26/0.51 % (3428180)Peak memory usage: 10 MB
% 1.26/0.51 % (3428180)Instructions burned: 16 (million)
% 1.26/0.51 % (3428181)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3546594955:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.26/0.51 % (3428177)Instruction limit reached!
% 1.26/0.51 % (3428177)------------------------------
% 1.26/0.51 % (3428177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428177)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428177)Termination reason: Instruction limit
% 1.26/0.51 % (3428177)Termination phase: Property scanning
% 1.26/0.51 % (3428177)Time elapsed: 0.012 s
% 1.26/0.51 % (3428177)Peak memory usage: 10 MB
% 1.26/0.51 % (3428177)Instructions burned: 27 (million)
% 1.26/0.51 % (3428183)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3599043932:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.51 % (3428185)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3951316752: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)
% 1.26/0.51 % (3428185)Instruction limit reached!
% 1.26/0.51 % (3428185)------------------------------
% 1.26/0.51 % (3428185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428185)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428185)Termination reason: Instruction limit
% 1.26/0.51 % (3428185)Termination phase: shuffling
% 1.26/0.51 % (3428185)Time elapsed: 0.002 s
% 1.26/0.51 % (3428185)Peak memory usage: 10 MB
% 1.26/0.51 % (3428185)Instructions burned: 3 (million)
% 1.26/0.51 % (3428183)Instruction limit reached!
% 1.26/0.51 % (3428183)------------------------------
% 1.26/0.51 % (3428183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428183)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428183)Termination reason: Instruction limit
% 1.26/0.51 % (3428183)Termination phase: shuffling
% 1.26/0.51 % (3428183)Time elapsed: 0.007 s
% 1.26/0.51 % (3428183)Peak memory usage: 10 MB
% 1.26/0.51 % (3428183)Instructions burned: 16 (million)
% 1.26/0.51 % (3428186)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1430733036:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.51 % (3428188)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=115986396:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.51 % (3428173)Instruction limit reached!
% 1.26/0.51 % (3428173)------------------------------
% 1.26/0.51 % (3428173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428173)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428173)Termination reason: Instruction limit
% 1.26/0.51 % (3428173)Termination phase: Saturation
% 1.26/0.51 % (3428173)Time elapsed: 0.060 s
% 1.26/0.51 % (3428173)Peak memory usage: 15 MB
% 1.26/0.51 % (3428173)Instructions burned: 252 (million)
% 1.26/0.51 % (3428186)Instruction limit reached!
% 1.26/0.51 % (3428186)------------------------------
% 1.26/0.51 % (3428186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (3428186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (3428186)CaDiCaL version: 2.1.3
% 1.26/0.51 % (3428186)Termination reason: Instruction limit
% 1.26/0.51 % (3428186)Termination phase: shuffling
% 1.26/0.51 % (3428186)Time elapsed: 0.012 s
% 1.26/0.51 % (3428186)Peak memory usage: 10 MB
% 1.97/0.58 % (3428186)Instructions burned: 26 (million)
% 1.97/0.58 % (3428188)Instruction limit reached!
% 1.97/0.58 % (3428188)------------------------------
% 1.97/0.58 % (3428188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.58 % (3428188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.58 % (3428188)CaDiCaL version: 2.1.3
% 1.97/0.58 % (3428188)Termination reason: Instruction limit
% 1.97/0.58 % (3428188)Termination phase: shuffling
% 1.97/0.58 % (3428188)Time elapsed: 0.011 s
% 1.97/0.58 % (3428188)Peak memory usage: 10 MB
% 1.97/0.58 % (3428188)Instructions burned: 25 (million)
% 1.97/0.58 % (3428192)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
% 1.97/0.58 % (3428192)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.58 % (3428191)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2302121177:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.97/0.58 % (3428195)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.58 % (3428192)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=1274343142:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.58 % (3428195)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=1520010560:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.97/0.58 % (3428195)Instruction limit reached!
% 1.97/0.58 % (3428195)------------------------------
% 1.97/0.58 % (3428195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.58 % (3428195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.58 % (3428195)CaDiCaL version: 2.1.3
% 1.97/0.58 % (3428195)Termination reason: Instruction limit
% 1.97/0.58 % (3428195)Termination phase: shuffling
% 1.97/0.58 % (3428195)Time elapsed: 0.002 s
% 1.97/0.58 % (3428195)Peak memory usage: 10 MB
% 1.97/0.58 % (3428195)Instructions burned: 8 (million)
% 1.97/0.58 % (3428192)Instruction limit reached!
% 1.97/0.58 % (3428192)------------------------------
% 1.97/0.58 % (3428192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.58 % (3428192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.58 % (3428192)CaDiCaL version: 2.1.3
% 1.97/0.58 % (3428192)Termination reason: Instruction limit
% 1.97/0.58 % (3428192)Termination phase: shuffling
% 1.97/0.58 % (3428192)Time elapsed: 0.008 s
% 1.97/0.58 % (3428192)Peak memory usage: 10 MB
% 1.97/0.58 % (3428192)Instructions burned: 15 (million)
% 1.97/0.58 % (3428196)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=3977168221:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.97/0.58 % (3428197)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=499154986:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.97/0.58 % (3428201)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1896622802:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.97/0.58 % (3428197)Instruction limit reached!
% 1.97/0.58 % (3428197)------------------------------
% 1.97/0.58 % (3428197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.58 % (3428197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.58 % (3428197)CaDiCaL version: 2.1.3
% 1.97/0.58 % (3428197)Termination reason: Instruction limit
% 1.97/0.58 % (3428197)Termination phase: shuffling
% 1.97/0.58 % (3428197)Time elapsed: 0.004 s
% 1.97/0.58 % (3428197)Peak memory usage: 10 MB
% 1.97/0.58 % (3428197)Instructions burned: 8 (million)
% 1.97/0.58 % (3428201)Instruction limit reached!
% 1.97/0.58 % (3428201)------------------------------
% 1.97/0.58 % (3428201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.58 % (3428201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428201)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428201)Termination reason: Instruction limit
% 2.31/0.66 % (3428201)Termination phase: shuffling
% 2.31/0.66 % (3428201)Time elapsed: 0.006 s
% 2.31/0.66 % (3428201)Peak memory usage: 10 MB
% 2.31/0.66 % (3428201)Instructions burned: 27 (million)
% 2.31/0.66 % (3428191)Instruction limit reached!
% 2.31/0.66 % (3428191)------------------------------
% 2.31/0.66 % (3428191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (3428191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428191)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428191)Termination reason: Instruction limit
% 2.31/0.66 % (3428191)Termination phase: Preprocessing 3
% 2.31/0.66 % (3428191)Time elapsed: 0.028 s
% 2.31/0.66 % (3428191)Peak memory usage: 12 MB
% 2.31/0.66 % (3428191)Instructions burned: 62 (million)
% 2.31/0.66 % (3428202)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1751218180:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.31/0.66 % (3428196)Instruction limit reached!
% 2.31/0.66 % (3428196)------------------------------
% 2.31/0.66 % (3428196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (3428196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428196)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428196)Termination reason: Instruction limit
% 2.31/0.66 % (3428196)Termination phase: shuffling
% 2.31/0.66 % (3428196)Time elapsed: 0.014 s
% 2.31/0.66 % (3428196)Peak memory usage: 10 MB
% 2.31/0.66 % (3428196)Instructions burned: 32 (million)
% 2.31/0.66 % (3428207)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1581228908:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.31/0.66 % (3428202)Instruction limit reached!
% 2.31/0.66 % (3428202)------------------------------
% 2.31/0.66 % (3428202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (3428202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428202)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428202)Termination reason: Instruction limit
% 2.31/0.66 % (3428202)Termination phase: shuffling
% 2.31/0.66 % (3428202)Time elapsed: 0.010 s
% 2.31/0.66 % (3428202)Peak memory usage: 10 MB
% 2.31/0.66 % (3428202)Instructions burned: 21 (million)
% 2.31/0.66 % (3428206)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3177484632:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.31/0.66 % (3428208)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=985268874:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.31/0.66 % (3428210)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=555908336:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.31/0.66 % (3428212)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.31/0.66 % (3428212)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1116457971:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.66 % (3428212)Instruction limit reached!
% 2.31/0.66 % (3428212)------------------------------
% 2.31/0.66 % (3428212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (3428212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428212)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428212)Termination reason: Instruction limit
% 2.31/0.66 % (3428212)Termination phase: shuffling
% 2.31/0.66 % (3428212)Time elapsed: 0.004 s
% 2.31/0.66 % (3428212)Peak memory usage: 10 MB
% 2.31/0.66 % (3428212)Instructions burned: 9 (million)
% 2.31/0.66 % (3428207)Instruction limit reached!
% 2.31/0.66 % (3428207)------------------------------
% 2.31/0.66 % (3428207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (3428207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (3428207)CaDiCaL version: 2.1.3
% 2.31/0.66 % (3428207)Termination reason: Instruction limit
% 2.31/0.66 % (3428207)Termination phase: Saturation
% 2.31/0.66 % (3428207)Time elapsed: 0.032 s
% 2.31/0.66 % (3428207)Peak memory usage: 13 MB
% 2.31/0.66 % (3428207)Instructions burned: 146 (million)
% 2.31/0.66 % (3428210)Instruction limit reached!
% 2.31/0.66 % (3428210)------------------------------
% 2.47/0.71 % (3428210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428210)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428210)Termination reason: Instruction limit
% 2.47/0.71 % (3428210)Termination phase: Property scanning
% 2.47/0.71 % (3428210)Time elapsed: 0.019 s
% 2.47/0.71 % (3428210)Peak memory usage: 11 MB
% 2.47/0.71 % (3428210)Instructions burned: 44 (million)
% 2.47/0.71 % (3428218)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=2140937289: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)
% 2.47/0.71 % (3428217)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3416802432:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.47/0.71 % (3428219)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.71 % (3428219)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=745334822:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.47/0.71 % (3428219)Instruction limit reached!
% 2.47/0.71 % (3428219)------------------------------
% 2.47/0.71 % (3428219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428219)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428219)Termination reason: Instruction limit
% 2.47/0.71 % (3428219)Termination phase: shuffling
% 2.47/0.71 % (3428219)Time elapsed: 0.004 s
% 2.47/0.71 % (3428219)Peak memory usage: 10 MB
% 2.47/0.71 % (3428219)Instructions burned: 8 (million)
% 2.47/0.71 % (3428223)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2241687532:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.47/0.71 % (3428218)Instruction limit reached!
% 2.47/0.71 % (3428218)------------------------------
% 2.47/0.71 % (3428218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428218)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428218)Termination reason: Instruction limit
% 2.47/0.71 % (3428218)Termination phase: Saturation
% 2.47/0.71 % (3428218)Time elapsed: 0.038 s
% 2.47/0.71 % (3428218)Peak memory usage: 13 MB
% 2.47/0.71 % (3428218)Instructions burned: 171 (million)
% 2.47/0.71 % (3428181)Instruction limit reached!
% 2.47/0.71 % (3428181)------------------------------
% 2.47/0.71 % (3428181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428181)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428181)Termination reason: Instruction limit
% 2.47/0.71 % (3428181)Termination phase: Saturation
% 2.47/0.71 % (3428181)Time elapsed: 0.152 s
% 2.47/0.71 % (3428181)Peak memory usage: 15 MB
% 2.47/0.71 % (3428181)Instructions burned: 327 (million)
% 2.47/0.71 % (3428223)Instruction limit reached!
% 2.47/0.71 % (3428223)------------------------------
% 2.47/0.71 % (3428223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428223)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428223)Termination reason: Instruction limit
% 2.47/0.71 % (3428223)Termination phase: shuffling
% 2.47/0.71 % (3428223)Time elapsed: 0.010 s
% 2.47/0.71 % (3428223)Peak memory usage: 10 MB
% 2.47/0.71 % (3428223)Instructions burned: 22 (million)
% 2.47/0.71 % (3428225)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3773911671:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.47/0.71 % (3428208)Instruction limit reached!
% 2.47/0.71 % (3428208)------------------------------
% 2.47/0.71 % (3428208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428208)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428208)Termination reason: Instruction limit
% 2.47/0.71 % (3428208)Termination phase: Saturation
% 2.47/0.71 % (3428208)Time elapsed: 0.082 s
% 2.47/0.71 % (3428208)Peak memory usage: 14 MB
% 2.47/0.71 % (3428208)Instructions burned: 193 (million)
% 2.47/0.71 % (3428225)Instruction limit reached!
% 2.47/0.71 % (3428225)------------------------------
% 2.47/0.71 % (3428225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428225)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428225)Termination reason: Instruction limit
% 2.47/0.71 % (3428225)Termination phase: shuffling
% 2.47/0.71 % (3428225)Time elapsed: 0.005 s
% 2.47/0.71 % (3428225)Peak memory usage: 10 MB
% 2.47/0.71 % (3428225)Instructions burned: 23 (million)
% 2.47/0.71 % (3428226)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=3450166217:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.47/0.71 % (3428227)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=4289593617:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.47/0.71 % (3428230)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2944099168:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.47/0.71 % (3428229)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=2396345878:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.47/0.71 % (3428217)Instruction limit reached!
% 2.47/0.71 % (3428217)------------------------------
% 2.47/0.71 % (3428217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428217)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428217)Termination reason: Instruction limit
% 2.47/0.71 % (3428217)Termination phase: Saturation
% 2.47/0.71 % (3428217)Time elapsed: 0.078 s
% 2.47/0.71 % (3428217)Peak memory usage: 14 MB
% 2.47/0.71 % (3428217)Instructions burned: 182 (million)
% 2.47/0.71 % (3428229)Instruction limit reached!
% 2.47/0.71 % (3428229)------------------------------
% 2.47/0.71 % (3428229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428229)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428229)Termination reason: Instruction limit
% 2.47/0.71 % (3428229)Termination phase: SInE selection
% 2.47/0.71 % (3428229)Time elapsed: 0.019 s
% 2.47/0.71 % (3428229)Peak memory usage: 11 MB
% 2.47/0.71 % (3428229)Instructions burned: 46 (million)
% 2.47/0.71 % (3428235)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3290847000: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)
% 2.47/0.71 % (3428236)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.71 % (3428236)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2373635619:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.47/0.71 % (3428235)Instruction limit reached!
% 2.47/0.71 % (3428235)------------------------------
% 2.47/0.71 % (3428235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428235)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428235)Termination reason: Instruction limit
% 2.47/0.71 % (3428235)Termination phase: shuffling
% 2.47/0.71 % (3428235)Time elapsed: 0.010 s
% 2.47/0.71 % (3428235)Peak memory usage: 10 MB
% 2.47/0.71 % (3428235)Instructions burned: 21 (million)
% 2.47/0.71 % (3428239)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1862658551:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.47/0.71 % (3428148)Instruction limit reached!
% 2.47/0.71 % (3428148)------------------------------
% 2.47/0.71 % (3428148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428148)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428148)Termination reason: Instruction limit
% 2.47/0.71 % (3428148)Termination phase: Saturation
% 2.47/0.71 % (3428148)Time elapsed: 0.331 s
% 2.47/0.71 % (3428148)Peak memory usage: 20 MB
% 2.47/0.71 % (3428148)Instructions burned: 634 (million)
% 2.47/0.71 % (3428239)Instruction limit reached!
% 2.47/0.71 % (3428239)------------------------------
% 2.47/0.71 % (3428239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428239)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428239)Termination reason: Instruction limit
% 2.47/0.71 % (3428239)Termination phase: shuffling
% 2.47/0.71 % (3428239)Time elapsed: 0.006 s
% 2.47/0.71 % (3428239)Peak memory usage: 10 MB
% 2.47/0.71 % (3428239)Instructions burned: 13 (million)
% 2.47/0.71 % (3428241)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=1418738594:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.47/0.71 % (3428242)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=564345727:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.47/0.71 % (3428230) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3428140-3428230"...
% 2.47/0.71 % (3428242)Instruction limit reached!
% 2.47/0.71 % (3428242)------------------------------
% 2.47/0.71 % (3428242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428242)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428242)Termination reason: Instruction limit
% 2.47/0.71 % (3428242)Termination phase: Property scanning
% 2.47/0.71 % (3428242)Time elapsed: 0.022 s
% 2.47/0.71 % (3428242)Peak memory usage: 11 MB
% 2.47/0.71 % (3428242)Instructions burned: 52 (million)
% 2.47/0.71 % (3428241)Instruction limit reached!
% 2.47/0.71 % (3428241)------------------------------
% 2.47/0.71 % (3428241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428241)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428241)Termination reason: Instruction limit
% 2.47/0.71 % (3428241)Termination phase: SInE selection
% 2.47/0.71 % (3428241)Time elapsed: 0.028 s
% 2.47/0.71 % (3428241)Peak memory usage: 11 MB
% 2.47/0.71 % (3428241)Instructions burned: 67 (million)
% 2.47/0.71 % (3428230)...printing done.
% 2.47/0.71 % (3428230)Refutation found. Thanks to Tanya!
% 2.47/0.71 % SZS status Theorem for theBenchmark
% 2.47/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.71 % (3428230)------------------------------
% 2.47/0.71 % (3428230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.71 % (3428230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.71 % (3428230)CaDiCaL version: 2.1.3
% 2.47/0.71 % (3428230)Termination reason: Refutation
% 2.47/0.71 % (3428230)Time elapsed: 0.115 s
% 2.47/0.71 % (3428230)Peak memory usage: 17 MB
% 2.47/0.71 % (3428230)Instructions burned: 431 (million)
% 2.47/0.71 % (3428140)Success in time 0.431 s
% 2.47/0.71 % Vampire exiting
%------------------------------------------------------------------------------