%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU817^1 : 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 08:31:39 AM UTC 2026
% Result : Theorem 20.24s 3.42s
% Output : Refutation 20.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 121 ( 40 unt; 0 typ; 14 def)
% Number of atoms : 6852 (1892 equ; 0 cnn)
% Maximal formula atoms : 337 ( 56 avg)
% Number of connectives : 3428 ( 161 ~; 150 |;1374 &; 359 @)
% ( 22 <=>;1362 =>; 0 <=; 0 <~>)
% Maximal formula depth : 343 ( 26 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 636 ( 633 usr; 380 con; 0-6 aty)
% Number of variables : 125 ( 0 sgn 100 !; 25 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_357,type,
woz2B: $o ).
thf(func_def_358,type,
image1Ex: $o ).
thf(func_def_359,type,
image1Ex1: $o ).
thf(func_def_360,type,
image1: $i > ( $i > $i ) > $i ).
thf(func_def_361,type,
image1Equiv: $o ).
thf(func_def_362,type,
image1E: $o ).
thf(func_def_363,type,
image1I: $o ).
thf(func_def_364,type,
injective: $i > $i > $i > $o ).
thf(func_def_365,type,
injFuncSet: $i > $i > $i ).
thf(func_def_366,type,
injFuncInInjFuncSet: $o ).
thf(func_def_367,type,
injFuncSetFuncIn: $o ).
thf(func_def_368,type,
injFuncSetFuncInj: $o ).
thf(func_def_369,type,
surjective: $i > $i > $i > $o ).
thf(func_def_370,type,
surjFuncSet: $i > $i > $i ).
thf(func_def_371,type,
surjFuncSetFuncIn: $o ).
thf(func_def_372,type,
surjFuncSetFuncSurj: $o ).
thf(func_def_373,type,
leftInvIsSurj: $o ).
thf(func_def_374,type,
surjCantorThm: $o ).
thf(func_def_375,type,
foundation2: $o ).
thf(func_def_376,type,
notinself: $o ).
thf(func_def_377,type,
notinself2: $o ).
thf(func_def_378,type,
omegaS: $i > $i ).
thf(func_def_379,type,
omegaSp: $o ).
thf(func_def_380,type,
omegaSclos: $o ).
thf(func_def_381,type,
peano0notS: $o ).
thf(func_def_382,type,
peano3: $i > $i > $i > $o ).
thf(func_def_383,type,
peano4: $i > $i > $i > $o ).
thf(func_def_384,type,
peano5: $i > $i > $i > $o ).
thf(func_def_385,type,
peanoSinj: $o ).
thf(func_def_386,type,
peano: $i > $i > $i > $o ).
thf(func_def_387,type,
transitiveset: $i > $o ).
thf(func_def_388,type,
transitivesetOp1: $o ).
thf(func_def_389,type,
binintTransitive: $o ).
thf(func_def_390,type,
transitivesetOp2: $o ).
thf(func_def_391,type,
setunionTransitive: $o ).
thf(func_def_392,type,
stricttotalorderedByIn: $i > $o ).
thf(func_def_393,type,
wellorderedByIn: $i > $o ).
thf(func_def_394,type,
ordinal: $i > $o ).
thf(func_def_395,type,
limitOrdinal: $i > $o ).
thf(func_def_396,type,
ordinalMinLem1: $o ).
thf(func_def_399,type,
vOR: $o > $o > $o ).
thf(func_def_400,type,
vAND: $o > $o > $o ).
thf(func_def_401,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_402,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_403,type,
vNOT: $o > $o ).
thf(func_def_404,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_405,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_406,type,
vIFF: $o > $o > $o ).
thf(func_def_407,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_408,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_409,type,
vIMP: $o > $o > $o ).
thf(func_def_410,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_411,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_412,type,
sP0: $i > $i > $o ).
thf(func_def_413,type,
sP1: $i > $o ).
thf(func_def_419,type,
sK7: ( $i > $o ) > $i > $i ).
thf(func_def_421,type,
sK9: $i > $o ).
thf(func_def_430,type,
sK18: $o ).
thf(func_def_448,type,
sK36: $i > $i ).
thf(func_def_451,type,
sK39: $o ).
thf(func_def_457,type,
sK45: $i > $i > $o ).
thf(func_def_458,type,
sK46: $i > $i ).
thf(func_def_459,type,
sK47: $i > $i ).
thf(func_def_460,type,
sK48: ( $i > $i > $o ) > $i > $i ).
thf(func_def_461,type,
sK49: ( $i > $i > $o ) > $i > $i ).
thf(func_def_462,type,
sK50: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_474,type,
sK62: $i > $i ).
thf(func_def_482,type,
sK70: $i > $i > $i ).
thf(func_def_483,type,
sK71: ( $i > $o ) > $i ).
thf(func_def_484,type,
sK72: $i > $o ).
thf(func_def_485,type,
sK73: $i > $i ).
thf(func_def_488,type,
sK76: $i > $o ).
thf(func_def_502,type,
sK90: $i > $i ).
thf(func_def_505,type,
sK93: $i > $i > ( $i > $i ) > $i ).
thf(func_def_511,type,
sK99: $i > $o ).
thf(func_def_512,type,
sK100: $i > $o ).
thf(func_def_513,type,
sK101: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_514,type,
sK102: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_515,type,
sK103: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_516,type,
sK104: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_520,type,
sK108: $i > $o ).
thf(func_def_522,type,
sK110: $i > ( $i > $o ) > $i ).
thf(func_def_523,type,
sK111: $i > $o ).
thf(func_def_533,type,
sK121: $i > $i > $o ).
thf(func_def_542,type,
sK130: $i > $i > $o ).
thf(func_def_552,type,
sK140: $i > $i ).
thf(func_def_555,type,
sK143: $o ).
thf(func_def_560,type,
sK148: $o ).
thf(func_def_573,type,
sK161: $i > $i > $i > $i ).
thf(func_def_574,type,
sK162: $i > $i > $i > $i ).
thf(func_def_576,type,
sK164: $i > $o ).
thf(func_def_580,type,
sK168: $i > $i ).
thf(func_def_583,type,
sK171: $i > $o ).
thf(func_def_586,type,
sK174: $i > ( $i > $o ) > $i ).
thf(func_def_587,type,
sK175: $i > $o ).
thf(func_def_593,type,
sK181: $i > $i > $i > $i ).
thf(func_def_594,type,
sK182: $i > $i > $i > $i ).
thf(func_def_601,type,
sK189: $i > $o ).
thf(func_def_603,type,
sK191: ( $i > $o ) > $i ).
thf(func_def_604,type,
sK192: ( $i > $o ) > $i ).
thf(func_def_607,type,
sK195: $i > $o ).
thf(func_def_612,type,
sK200: $i > $o ).
thf(func_def_623,type,
sK211: ( $i > $i ) > $i > $i > $i ).
thf(func_def_626,type,
sK214: $i > $i ).
thf(func_def_648,type,
sK236: ( $i > $o ) > $i > $i ).
thf(func_def_650,type,
sK238: $i > $o ).
thf(func_def_657,type,
sK245: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_659,type,
sK247: $i > $i > $o ).
thf(func_def_663,type,
sK251: $i > $i ).
thf(func_def_664,type,
sK252: $i > $o ).
thf(func_def_666,type,
sK254: $i > ( $i > $o ) > $i ).
thf(func_def_670,type,
sK258: $i > $i > $i > $i ).
thf(func_def_671,type,
sK259: $i > $i > $i > $i ).
thf(func_def_682,type,
sK270: $i > $i ).
thf(func_def_687,type,
sK275: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_688,type,
sK276: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_689,type,
sK277: $i > $o ).
thf(func_def_690,type,
sK278: $i > $o ).
thf(func_def_693,type,
sK281: $i > $i > $i > $i > $i ).
thf(func_def_694,type,
sK282: $i > $i > $i > $i > $i ).
thf(func_def_703,type,
sK291: $i > $i ).
thf(func_def_705,type,
sK293: $i > $i ).
thf(func_def_728,type,
sK316: $i > $i > $i ).
thf(func_def_740,type,
sK328: $i > $i > $i ).
thf(func_def_745,type,
sK333: $o ).
thf(func_def_771,type,
sK359: $o ).
thf(func_def_774,type,
sK362: $i > $o ).
thf(func_def_779,type,
sK367: $i > $i > $i ).
thf(func_def_782,type,
sK370: $o ).
thf(func_def_784,type,
sK372: $i > $i > $i > $i > $i ).
thf(func_def_800,type,
sK388: $i > $i ).
thf(func_def_801,type,
sK389: $i > $i ).
thf(func_def_802,type,
sK390: $i > $i ).
thf(func_def_803,type,
sK391: $i > $i ).
thf(func_def_804,type,
sK392: $i > $i > $i ).
thf(func_def_805,type,
sK393: $i > $i > $i > $i ).
thf(func_def_806,type,
sK394: $i > $i > $i > $i ).
thf(func_def_807,type,
sK395: $i > $i > $i > $i ).
thf(func_def_808,type,
sK396: $i > $i > $i ).
thf(func_def_809,type,
sK397: $i > $i > $i ).
thf(func_def_810,type,
sK398: $i > $i > $i ).
thf(func_def_811,type,
sK399: $i > $i > $i ).
thf(func_def_813,type,
sK401: $i > $i ).
thf(func_def_814,type,
sK402: $i > $i ).
thf(func_def_815,type,
sK403: $i > $i ).
thf(func_def_816,type,
sK404: $i > $i ).
thf(func_def_817,type,
sK405: $i > $i ).
thf(func_def_818,type,
sK406: $i > $i > $i > $i ).
thf(func_def_822,type,
sK410: $i > $o ).
thf(func_def_825,type,
sK413: $i > ( $i > $o ) > $i ).
thf(func_def_826,type,
sK414: $i > ( $i > $o ) > $i ).
thf(func_def_829,type,
sK417: $i > $o ).
thf(func_def_843,type,
sK431: $i > $o ).
thf(func_def_846,type,
sK434: $i > ( $i > $o ) > $i ).
thf(func_def_847,type,
sK435: $i > ( $i > $o ) > $i ).
thf(func_def_853,type,
sK441: $i > $o ).
thf(func_def_855,type,
sK443: ( $i > $o ) > $i > $i ).
thf(func_def_865,type,
sK453: $i > $i > $i ).
thf(func_def_866,type,
sK454: $i > $o ).
thf(func_def_870,type,
sK458: $i > $i > $o ).
thf(func_def_874,type,
sK462: $i > $o ).
thf(func_def_875,type,
sK463: $i > $i ).
thf(func_def_876,type,
sK464: ( $i > $o ) > $i ).
thf(func_def_888,type,
sK476: $o ).
thf(func_def_899,type,
sK487: $i > $i > $i > $i ).
thf(func_def_926,type,
sK514: $i > ( $i > $i ) > $i ).
thf(func_def_927,type,
sK515: $i > $i > ( $i > $i ) > $i ).
thf(func_def_928,type,
sK516: $i > $i ).
thf(func_def_930,type,
sK518: $i > $i ).
thf(func_def_931,type,
sK519: $i > $i ).
thf(func_def_943,type,
sK531: $i > $i > $i ).
thf(func_def_956,type,
sK544: $o ).
thf(func_def_970,type,
sK558: $i > $o ).
thf(func_def_997,type,
sK585: $i > $i > $i ).
thf(func_def_998,type,
sK586: $i > $i > $i ).
thf(func_def_1023,type,
sK611: $o ).
thf(func_def_1042,type,
sK630: $i > $o ).
thf(func_def_1043,type,
sK631: $i > $o ).
thf(func_def_1044,type,
sK632: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1045,type,
sK633: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1054,type,
sK642: $o ).
thf(func_def_1062,type,
sK650: $i > $i ).
thf(func_def_1065,type,
sK653: $i > $i ).
thf(func_def_1067,type,
sK655: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1081,type,
sK669: $i > $i ).
thf(func_def_1084,type,
sK672: $i > $i > ( $i > $i ) > $i ).
thf(func_def_1116,type,
sK704: $o > $i > $i > $i ).
thf(func_def_1119,type,
sK707: $o ).
thf(func_def_1134,type,
sK722: $o ).
thf(func_def_1135,type,
sK723: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1138,type,
sK726: $i > $i ).
thf(func_def_1140,type,
sK728: $i > $o ).
thf(func_def_1146,type,
sK734: $o ).
thf(func_def_1151,type,
sK739: $i > ( $i > $o ) > $i ).
thf(func_def_1152,type,
sK740: $i > $o ).
thf(func_def_1163,type,
sK751: ( $i > $o ) > $i ).
thf(func_def_1164,type,
sK752: $i > $o ).
thf(func_def_1166,type,
sK754: $i > $i > $o ).
thf(func_def_1170,type,
sK758: $i > $i ).
thf(func_def_1181,type,
sK769: $o ).
thf(func_def_1182,type,
sK770: $o > $i > $i > $i > $i > $i > $i ).
thf(func_def_1192,type,
sK780: $i > $o ).
thf(func_def_1194,type,
sK782: $i > $i > $o ).
thf(func_def_1204,type,
sK792: $i > $i ).
thf(func_def_1209,type,
sK797: $i > $i ).
thf(func_def_1213,type,
sK801: $i > $i > $i > ( $i > $i ) > $i ).
thf(func_def_1214,type,
sK802: $i > $i > ( $i > $i ) > $i ).
thf(func_def_1245,type,
sK833: $i > $o ).
thf(func_def_1248,type,
sK836: $i > ( $i > $o ) > $i ).
thf(func_def_1277,type,
sK865: $i > $i > $i > $i > $i ).
thf(func_def_1278,type,
sK866: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1280,type,
sK868: $i > $i ).
thf(func_def_1286,type,
sK874: $i > $i ).
thf(func_def_1296,type,
sK884: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1297,type,
sK885: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1300,type,
sK888: $i > $o ).
thf(func_def_1309,type,
sK897: $i > $i > $o ).
thf(func_def_1315,type,
sK903: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1316,type,
sK904: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1319,type,
sK907: $i > $o ).
thf(func_def_1321,type,
sK909: $i > ( $i > $o ) > $i ).
thf(func_def_1322,type,
sK910: $i > $o ).
thf(func_def_1342,type,
sK930: $i > $i > $i > $i > $i ).
thf(func_def_1343,type,
sK931: $i > $i > $i > $i > $i ).
thf(func_def_1344,type,
sK932: $i > $i > $i > $i > $i ).
thf(func_def_1345,type,
sK933: $i > $i > $i > $i > $i ).
thf(func_def_1370,type,
sK958: $i > $i > $i > $i > $i ).
thf(func_def_1379,type,
sK967: $i > $i > $i > $i ).
thf(func_def_1386,type,
sK974: $i > $o ).
thf(func_def_1391,type,
sK979: $o ).
thf(func_def_1395,type,
sK983: $o ).
thf(func_def_1402,type,
sK990: $o ).
thf(func_def_1414,type,
sK1002: $i > $i > $i > $i > $i > $i ).
thf(func_def_1428,type,
sK1016: $i > $i > $i ).
thf(func_def_1429,type,
sK1017: $o ).
thf(func_def_1433,type,
sK1021: $i > $i > $i ).
thf(func_def_1437,type,
sK1025: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1440,type,
sK1028: $i > $i ).
thf(func_def_1447,type,
sK1035: $i > $o ).
thf(func_def_1451,type,
sK1039: $i > $i > $i > $i ).
thf(func_def_1452,type,
sK1040: $i > $i > $i > $i ).
thf(func_def_1453,type,
sK1041: $i > $i > $i > $i ).
thf(func_def_1454,type,
sK1042: $i > $i > $i > $i ).
thf(func_def_1460,type,
sK1048: $i > $i > $o ).
thf(func_def_1465,type,
sK1053: $o ).
thf(func_def_1472,type,
sK1060: $i > $o ).
thf(func_def_1474,type,
sK1062: $i > ( $i > $o ) > $i > $i ).
thf(func_def_1475,type,
sK1063: $i > $i > $o ).
thf(func_def_1483,type,
sK1071: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1484,type,
sK1072: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1488,type,
sK1076: $i > $o ).
thf(func_def_1490,type,
sK1078: $i > $i > ( $i > $i ) > $i ).
thf(func_def_1491,type,
sK1079: $i > $i ).
thf(f88,axiom,
! [X0: $i] :
( ( subset @ X0 @ X0 )
= subsetRefl ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetRefl) ).
thf(f117,axiom,
( binintersectSubset4
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset4) ).
thf(f334,axiom,
! [X0: $i] :
( ( ( transitiveset @ X0 )
=> ! [X2: $i,X1: $i] :
( ( in @ X1 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) )
= transitivesetOp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivesetOp2) ).
thf(f339,axiom,
( ordinalMinLem1
= ( ! [X0: $i] :
( ( ordinal @ X0 )
=> ! [X1: $i] :
( ( ordinal @ X1 )
=> ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinalMinLem1) ).
thf(f340,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ( transitivesetOp2
=> ( setunionTransitive
=> ( ordinalMinLem1
=> ! [X0: $i] :
( ( ordinal @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinalTransSet) ).
thf(f341,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ( transitivesetOp2
=> ( setunionTransitive
=> ( ordinalMinLem1
=> ! [X0: $i] :
( ( ordinal @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f340]) ).
thf(f421,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ( transitivesetOp2
=> ( setunionTransitive
=> ( ordinalMinLem1
=> ! [X0: $i] :
( ( ordinal @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f341]) ).
thf(f422,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ( ( woz2B = $true )
=> ( ( image1Ex = $true )
=> ( ( image1Ex1 = $true )
=> ( ( image1Equiv = $true )
=> ( ( image1E = $true )
=> ( ( image1I = $true )
=> ( ( injFuncInInjFuncSet = $true )
=> ( ( injFuncSetFuncIn = $true )
=> ( ( injFuncSetFuncInj = $true )
=> ( ( surjFuncSetFuncIn = $true )
=> ( ( surjFuncSetFuncSurj = $true )
=> ( ( leftInvIsSurj = $true )
=> ( ( surjCantorThm = $true )
=> ( ( foundation2 = $true )
=> ( ( notinself = $true )
=> ( ( notinself2 = $true )
=> ( ( omegaSp = $true )
=> ( ( omegaSclos = $true )
=> ( ( peano0notS = $true )
=> ( ( peanoSinj = $true )
=> ( ( transitivesetOp1 = $true )
=> ( ( binintTransitive = $true )
=> ( ( transitivesetOp2 = $true )
=> ( ( setunionTransitive = $true )
=> ( ( ordinalMinLem1 = $true )
=> ! [X0: $i] :
( ( ( ordinal @ X0 )
= $true )
=> ! [X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X1 @ X2 )
= $true )
=> ( ( in @ X1 @ X0 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f421]) ).
thf(f630,plain,
( binintersectSubset4
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ),
inference(rectify,[],[f117]) ).
thf(f631,plain,
( ( binintersectSubset4 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ),
inference(fool_elimination,[],[f630]) ).
thf(f667,plain,
( ordinalMinLem1
= ( ! [X0: $i] :
( ( ordinal @ X0 )
=> ! [X1: $i] :
( ( ordinal @ X1 )
=> ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f339]) ).
thf(f668,plain,
( ! [X0: $i] :
( ( ( ordinal @ X0 )
= $true )
=> ! [X1: $i] :
( ( ( ordinal @ X1 )
= $true )
=> ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
= $true ) ) )
<=> ( ordinalMinLem1 = $true ) ),
inference(fool_elimination,[],[f667]) ).
thf(f709,plain,
! [X0: $i] :
( ( ( transitiveset @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X1 @ X2 )
=> ( in @ X1 @ X0 ) ) ) )
= transitivesetOp2 ),
inference(rectify,[],[f334]) ).
thf(f710,plain,
( ! [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
=> ! [X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X1 @ X2 )
= $true )
=> ( ( in @ X1 @ X0 )
= $true ) ) ) )
<=> ( transitivesetOp2 = $true ) ),
inference(fool_elimination,[],[f709]) ).
thf(f925,plain,
! [X0: $i] :
( ( subset @ X0 @ X0 )
= subsetRefl ),
inference(rectify,[],[f88]) ).
thf(f926,plain,
( ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true )
<=> ( subsetRefl = $true ) ),
inference(fool_elimination,[],[f925]) ).
thf(f1148,plain,
( ( ordinalMinLem1 = $true )
<=> ! [X0: $i] :
( ! [X1: $i] :
( ( ( ordinal @ X1 )
!= $true )
| ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
= $true ) )
| ( ( ordinal @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[],[f668]) ).
thf(f1169,plain,
( ( binintersectSubset4 = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( binintersect @ X0 @ X1 )
= X1 )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[],[f631]) ).
thf(f1410,plain,
( ? [X0: $i] :
( ? [X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
& ( ( in @ X1 @ X2 )
= $true )
& ( ( in @ X2 @ X0 )
= $true ) )
& ( ( ordinal @ X0 )
= $true ) )
& ( ordinalMinLem1 = $true )
& ( setunionTransitive = $true )
& ( transitivesetOp2 = $true )
& ( binintTransitive = $true )
& ( transitivesetOp1 = $true )
& ( peanoSinj = $true )
& ( peano0notS = $true )
& ( omegaSclos = $true )
& ( omegaSp = $true )
& ( notinself2 = $true )
& ( notinself = $true )
& ( foundation2 = $true )
& ( surjCantorThm = $true )
& ( leftInvIsSurj = $true )
& ( surjFuncSetFuncSurj = $true )
& ( surjFuncSetFuncIn = $true )
& ( injFuncSetFuncInj = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( image1I = $true )
& ( image1E = $true )
& ( image1Equiv = $true )
& ( image1Ex1 = $true )
& ( image1Ex = $true )
& ( woz2B = $true )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f422]) ).
thf(f1411,plain,
( ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( setadjoinOr = $true )
& ( setukpairinjR11 = $true )
& ( subsetE2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( injFuncSetFuncIn = $true )
& ( notdexE = $true )
& ( subset2powerset = $true )
& ( setbeta = $true )
& ( breln1unionCommutes = $true )
& ( setadjoinIL = $true )
& ( complementT_lem = $true )
& ( breln1invprop = $true )
& ( foundationAx = $true )
& ( ex1E1 = $true )
& ( eqinunit = $true )
& ( emptysetAx = $true )
& ( inCongP = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset5 = $true )
& ( notequalI1 = $true )
& ( woz13rule2 = $true )
& ( uniqinunit = $true )
& ( contrasubsetT = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempaircEq = $true )
& ( emptyinunitempty = $true )
& ( transitivesetOp2 = $true )
& ( contrasubsetT1 = $true )
& ( cartprodmempair = $true )
& ( omegaIndAx = $true )
& ( lamp = $true )
& ( kpairiskpair = $true )
& ( symdiffE = $true )
& ( upairequniteq = $true )
& ( binunionE = $true )
& ( upairset2E = $true )
& ( setminusI = $true )
& ( setukpairinjL1 = $true )
& ( leftInvIsSurj = $true )
& ( breln1unionIL = $true )
& ( theprop = $true )
& ( quantDeMorgan1 = $true )
& ( noeltsimpempty = $true )
& ( exuE1 = $true )
& ( dpsetconstrSub = $true )
& ( powersetAx = $true )
& ( exuI1 = $true )
& ( breln1unionEcases = $true )
& ( breln1SetBreln1 = $true )
& ( setminusT_lem = $true )
& ( subsetTrans = $true )
& ( iftrueProp2 = $true )
& ( subbreln1 = $true )
& ( omegaSp = $true )
& ( breln1compEex = $true )
& ( woz13rule0 = $true )
& ( in__Cong = $true )
& ( subPowSU = $true )
& ( beta1 = $true )
& ( replAx = $true )
& ( emptyI = $true )
& ( binintersectTELcontra = $true )
& ( setunionTransitive = $true )
& ( setminusLsub = $true )
& ( dpsetconstrEL2 = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( notsubsetI = $true )
& ( woz1_2 = $true )
& ( breln1compprop = $true )
& ( surjCantorThm = $true )
& ( demorgan2a = $true )
& ( breln1all2 = $true )
& ( setextT = $true )
& ( dpsetconstrERa = $true )
& ( prop2set2propI = $true )
& ( iftrueorfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( choice2fnsingleton = $true )
& ( theeq = $true )
& ( descr__Cong = $true )
& ( notinself = $true )
& ( ex1I = $true )
& ( woz2W = $true )
& ( sepSubset = $true )
& ( image1Ex1 = $true )
& ( setukpairinjL2 = $true )
& ( demorgan2a1 = $true )
& ( exuEu = $true )
& ( beta2 = $true )
& ( wellorderingAx = $true )
& ( dpsetconstrI = $true )
& ( breln1invI = $true )
& ( notinself2 = $true )
& ( setminusERneg = $true )
& ( ifSingleton = $true )
& ( funcext2 = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( infuncsetfunc = $true )
& ( notinemptyset = $true )
& ( subsetTI = $true )
& ( emptyset__Cong = $true )
& ( brelnall2 = $true )
& ( omegaSclos = $true )
& ( bs114d = $true )
& ( symdiffI1 = $true )
& ( woz1_4 = $true )
& ( cartprodpairsurjEq = $true )
& ( dsetconstrEL = $true )
& ( iftrueProp1 = $true )
& ( secondinupair = $true )
& ( doubleComplementEq = $true )
& ( complementUnionInPowersetComplement = $true )
& ( upairset2IR = $true )
& ( breln1unionprop = $true )
& ( binunionIL = $true )
& ( setadjoinSub = $true )
& ( powersetTI1 = $true )
& ( powersetE1 = $true )
& ( powersetI = $true )
& ( funcGraphProp2 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset2 = $true )
& ( setminusIRneg = $true )
& ( binintTransitive = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( eqbreln = $true )
& ( brelnall1 = $true )
& ( powersetT_lem = $true )
& ( notequalI2 = $true )
& ( funcGraphProp4 = $true )
& ( demorgan2a2 = $true )
& ( exuI2 = $true )
& ( ap2apEq2 = $true )
& ( complementTI1 = $true )
& ( ex1E2 = $true )
& ( breln1all1 = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ( demorgan2 = $true )
& ( binunionTE = $true )
& ( doubleComplementE1 = $true )
& ( binintersectT_lem = $true )
& ( binintersectTERcontra = $true )
& ( breln1invE = $true )
& ( setOfPairsIsBReln = $true )
& ( setadjoinIR = $true )
& ( setOfPairsIsBReln1 = $true )
& ( exu__Cong = $true )
& ( setoftrueEq = $true )
& ( cartprodmempair1 = $true )
& ( cartprodsndpairEq = $true )
& ( transitivesetOp1 = $true )
& ( woz13rule1 = $true )
& ( woz2B = $true )
& ( eqimpsubset2 = $true )
& ( image1E = $true )
& ( injFuncInInjFuncSet = $true )
& ( setukpairIR = $true )
& ( injFuncSetFuncInj = $true )
& ( nonemptyI1 = $true )
& ( setminusER = $true )
& ( funcImageSingleton = $true )
& ( prop2setI = $true )
& ( setadjoinSub2 = $true )
& ( powersetTE1 = $true )
& ( emptysetsubset = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( upairsetIL = $true )
& ( omega0Ax = $true )
& ( inIntersectImpInUnion = $true )
& ( setunion__Cong = $true )
& ( setukpairinjR = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule4 = $true )
& ( setminusSubset2 = $true )
& ( setextsub = $true )
& ( doubleComplementSub2 = $true )
& ( ubforcartprodlem1 = $true )
& ( ex1I2 = $true )
& ( funcext = $true )
& ( kfstpairEq = $true )
& ( binunionTEcontra = $true )
& ( notdallE = $true )
& ( complementTE1 = $true )
& ( singletonsubset = $true )
& ( binunionTIRcontra = $true )
& ( eqbreln1 = $true )
& ( binintersectRsub = $true )
& ( upairsubunion = $true )
& ( ordinalMinLem1 = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionLsub = $true )
& ( contrasubsetT2 = $true )
& ( setminusSubset1 = $true )
& ( dsetconstrI = $true )
& ( singletonprop = $true )
& ( dpsetconstrER = $true )
& ( breln1compE = $true )
& ( subsetRefl = $true )
& ( kpairp = $true )
& ( woz13rule3 = $true )
& ( image1Ex = $true )
& ( binunionIR = $true )
& ( symdiffIneg2 = $true )
& ( powersetE = $true )
& ( upairsetIR = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan3 = $true )
& ( cartprodfstpairEq = $true )
& ( doubleComplementSub1 = $true )
& ( powersetI1 = $true )
& ( subsetI2 = $true )
& ( woz1_5 = $true )
& ( demorgan2b = $true )
& ( emptyInPowerset = $true )
& ( singletonsswitch = $true )
& ( woz1_3 = $true )
& ( notinsingleton = $true )
& ( cartprodpairin = $true )
& ( nonemptyImpWitness = $true )
& ( breln1unionI = $true )
& ( binintersectSubset4 = $true )
& ( binintersectLsub = $true )
& ( setunionsingleton2 = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( vacuousDall = $true )
& ( funcGraphProp3 = $true )
& ( lam2p = $true )
& ( image1I = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setukpairinjR2 = $true )
& ( funcGraphProp1 = $true )
& ( eta1 = $true )
& ( contraSubsetComplement = $true )
& ( singletonsuniq = $true )
& ( surjFuncSetFuncSurj = $true )
& ( symdiffI2 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( binunionT_lem = $true )
& ( ubforcartprodlem2 = $true )
& ( setadjoinAx = $true )
& ( dsetconstrER = $true )
& ( binunionTILcontra = $true )
& ( setext = $true )
& ( ifp = $true )
& ( setunionsingleton = $true )
& ( ksndsingleton = $true )
& ( setunionsingleton1 = $true )
& ( powersetsubset = $true )
& ( image1Equiv = $true )
& ( breln1unionE = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( cartprodsndin = $true )
& ( demorgan1b = $true )
& ( iftrue = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( emptyinPowerset = $true )
& ( contrasubsetT3 = $true )
& ( exuI3 = $true )
& ( foundation2 = $true )
& ( iffalseProp2 = $true )
& ( peanoSinj = $true )
& ( ap2apEq1 = $true )
& ( disjointsetsI1 = $true )
& ( setunionI = $true )
& ( funcinfuncset = $true )
& ( powerset__Cong = $true )
& ( setunionE = $true )
& ( woz2Ex = $true )
& ( setukpairinjR12 = $true )
& ( breln1compI = $true )
& ? [X0: $i] :
( ? [X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X1 @ X0 )
!= $true )
& ( ( in @ X1 @ X2 )
= $true ) )
& ( ( ordinal @ X0 )
= $true ) )
& ( app = $true )
& ( prop2setE = $true )
& ( sepInPowerset = $true )
& ( demorgan1a = $true )
& ( doubleComplementI1 = $true )
& ( complementTcontraSubset = $true )
& ( setunionAx = $true )
& ( lam2lamEq = $true )
& ( setminusELneg = $true )
& ( binintersectER = $true )
& ( setminusEL = $true )
& ( kfstsingleton = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( peano0notS = $true )
& ( demorgan1 = $true )
& ( exuE3u = $true )
& ( breln1unionIR = $true )
& ( descrp = $true )
& ( demorgan2b2 = $true )
& ( woz2A = $true )
& ( cartprodfstin = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( apProp = $true )
& ( inPowerset = $true )
& ( setminusILneg = $true )
& ( cartprodpairmemEL = $true )
& ( ap2p = $true )
& ( funcextLem = $true )
& ( binunionEcases = $true )
& ( surjFuncSetFuncIn = $true )
& ( iffalse = $true )
& ( complementTnotintersectT = $true )
& ( singletoninpowerset = $true )
& ( nonemptyE1 = $true )
& ( symdiffIneg1 = $true )
& ( subbreln = $true )
& ( subsetemptysetimpeq = $true )
& ( singletoninpowunion = $true )
& ( eta2 = $true ) ),
inference(flattening,[],[f1410]) ).
thf(f1423,plain,
( ! [X0: $i] :
( ! [X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X2 @ X0 )
!= $true ) )
| ( ( transitiveset @ X0 )
!= $true ) )
<=> ( transitivesetOp2 = $true ) ),
inference(ennf_transformation,[],[f710]) ).
thf(f1424,plain,
( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X2: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X2 @ X0 )
!= $true )
| ( ( in @ X1 @ X0 )
= $true ) ) )
<=> ( transitivesetOp2 = $true ) ),
inference(flattening,[],[f1423]) ).
thf(f1699,plain,
( ( ( ordinalMinLem1 = $true )
| ? [X0: $i] :
( ? [X1: $i] :
( ( ( ordinal @ X1 )
= $true )
& ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
!= $true ) )
& ( ( ordinal @ X0 )
= $true ) ) )
& ( ! [X0: $i] :
( ! [X1: $i] :
( ( ( ordinal @ X1 )
!= $true )
| ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
= $true ) )
| ( ( ordinal @ X0 )
!= $true ) )
| ( ordinalMinLem1 != $true ) ) ),
inference(nnf_transformation,[],[f1148]) ).
thf(f1700,plain,
( ( ( ordinalMinLem1 = $true )
| ? [X0: $i] :
( ? [X1: $i] :
( ( ( ordinal @ X1 )
= $true )
& ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
!= $true ) )
& ( ( ordinal @ X0 )
= $true ) ) )
& ( ! [X2: $i] :
( ! [X3: $i] :
( ( $true
!= ( ordinal @ X3 ) )
| ( $true
= ( transitiveset @ ( binintersect @ X2 @ X3 ) ) ) )
| ( ( ordinal @ X2 )
!= $true ) )
| ( ordinalMinLem1 != $true ) ) ),
inference(rectify,[],[f1699]) ).
thf(f1701,plain,
( ( ( ordinalMinLem1 = $true )
| ( ( ( ordinal @ sK241 )
= $true )
& ( ( transitiveset @ ( binintersect @ sK240 @ sK241 ) )
!= $true )
& ( ( ordinal @ sK240 )
= $true ) ) )
& ( ! [X2: $i] :
( ! [X3: $i] :
( ( $true
!= ( ordinal @ X3 ) )
| ( $true
= ( transitiveset @ ( binintersect @ X2 @ X3 ) ) ) )
| ( ( ordinal @ X2 )
!= $true ) )
| ( ordinalMinLem1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK240,sK241]),skolemize(X0,sK240),skolemize(X1,sK241)],[f1700]) ).
thf(f1702,plain,
( ( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X2: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X2 @ X0 )
!= $true )
| ( ( in @ X1 @ X0 )
= $true ) ) )
| ( transitivesetOp2 != $true ) )
& ( ( transitivesetOp2 = $true )
| ? [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
& ? [X2: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
& ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X1 @ X0 )
!= $true ) ) ) ) ),
inference(nnf_transformation,[],[f1424]) ).
thf(f1703,plain,
( ( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) ) )
| ( transitivesetOp2 != $true ) )
& ( ( transitivesetOp2 = $true )
| ? [X3: $i] :
( ( $true
= ( transitiveset @ X3 ) )
& ? [X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
& ( $true
= ( in @ X4 @ X3 ) )
& ( $true
!= ( in @ X5 @ X3 ) ) ) ) ) ),
inference(rectify,[],[f1702]) ).
thf(f1704,plain,
( ( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) ) )
| ( transitivesetOp2 != $true ) )
& ( ( transitivesetOp2 = $true )
| ( ( ( transitiveset @ sK242 )
= $true )
& ( $true
= ( in @ sK244 @ sK243 ) )
& ( ( in @ sK243 @ sK242 )
= $true )
& ( ( in @ sK244 @ sK242 )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242,sK243,sK244]),skolemize(X3,sK242),skolemize(X4,sK243),skolemize(X5,sK244)],[f1703]) ).
thf(f1762,plain,
( ( ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true )
| ( subsetRefl != $true ) )
& ( ( subsetRefl = $true )
| ? [X0: $i] :
( ( subset @ X0 @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[],[f926]) ).
thf(f1763,plain,
( ( ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true )
| ( subsetRefl != $true ) )
& ( ( subsetRefl = $true )
| ? [X1: $i] :
( $true
!= ( subset @ X1 @ X1 ) ) ) ),
inference(rectify,[],[f1762]) ).
thf(f1764,plain,
( ( ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true )
| ( subsetRefl != $true ) )
& ( ( subsetRefl = $true )
| ( $true
!= ( subset @ sK315 @ sK315 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315]),skolemize(X1,sK315)],[f1763]) ).
thf(f1971,plain,
( ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( setadjoinOr = $true )
& ( setukpairinjR11 = $true )
& ( subsetE2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( injFuncSetFuncIn = $true )
& ( notdexE = $true )
& ( subset2powerset = $true )
& ( setbeta = $true )
& ( breln1unionCommutes = $true )
& ( setadjoinIL = $true )
& ( complementT_lem = $true )
& ( breln1invprop = $true )
& ( foundationAx = $true )
& ( ex1E1 = $true )
& ( eqinunit = $true )
& ( emptysetAx = $true )
& ( inCongP = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset5 = $true )
& ( notequalI1 = $true )
& ( woz13rule2 = $true )
& ( uniqinunit = $true )
& ( contrasubsetT = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempaircEq = $true )
& ( emptyinunitempty = $true )
& ( transitivesetOp2 = $true )
& ( contrasubsetT1 = $true )
& ( cartprodmempair = $true )
& ( omegaIndAx = $true )
& ( lamp = $true )
& ( kpairiskpair = $true )
& ( symdiffE = $true )
& ( upairequniteq = $true )
& ( binunionE = $true )
& ( upairset2E = $true )
& ( setminusI = $true )
& ( setukpairinjL1 = $true )
& ( leftInvIsSurj = $true )
& ( breln1unionIL = $true )
& ( theprop = $true )
& ( quantDeMorgan1 = $true )
& ( noeltsimpempty = $true )
& ( exuE1 = $true )
& ( dpsetconstrSub = $true )
& ( powersetAx = $true )
& ( exuI1 = $true )
& ( breln1unionEcases = $true )
& ( breln1SetBreln1 = $true )
& ( setminusT_lem = $true )
& ( subsetTrans = $true )
& ( iftrueProp2 = $true )
& ( subbreln1 = $true )
& ( omegaSp = $true )
& ( breln1compEex = $true )
& ( woz13rule0 = $true )
& ( in__Cong = $true )
& ( subPowSU = $true )
& ( beta1 = $true )
& ( replAx = $true )
& ( emptyI = $true )
& ( binintersectTELcontra = $true )
& ( setunionTransitive = $true )
& ( setminusLsub = $true )
& ( dpsetconstrEL2 = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( notsubsetI = $true )
& ( woz1_2 = $true )
& ( breln1compprop = $true )
& ( surjCantorThm = $true )
& ( demorgan2a = $true )
& ( breln1all2 = $true )
& ( setextT = $true )
& ( dpsetconstrERa = $true )
& ( prop2set2propI = $true )
& ( iftrueorfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( choice2fnsingleton = $true )
& ( theeq = $true )
& ( descr__Cong = $true )
& ( notinself = $true )
& ( ex1I = $true )
& ( woz2W = $true )
& ( sepSubset = $true )
& ( image1Ex1 = $true )
& ( setukpairinjL2 = $true )
& ( demorgan2a1 = $true )
& ( exuEu = $true )
& ( beta2 = $true )
& ( wellorderingAx = $true )
& ( dpsetconstrI = $true )
& ( breln1invI = $true )
& ( notinself2 = $true )
& ( setminusERneg = $true )
& ( ifSingleton = $true )
& ( funcext2 = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( infuncsetfunc = $true )
& ( notinemptyset = $true )
& ( subsetTI = $true )
& ( emptyset__Cong = $true )
& ( brelnall2 = $true )
& ( omegaSclos = $true )
& ( bs114d = $true )
& ( symdiffI1 = $true )
& ( woz1_4 = $true )
& ( cartprodpairsurjEq = $true )
& ( dsetconstrEL = $true )
& ( iftrueProp1 = $true )
& ( secondinupair = $true )
& ( doubleComplementEq = $true )
& ( complementUnionInPowersetComplement = $true )
& ( upairset2IR = $true )
& ( breln1unionprop = $true )
& ( binunionIL = $true )
& ( setadjoinSub = $true )
& ( powersetTI1 = $true )
& ( powersetE1 = $true )
& ( powersetI = $true )
& ( funcGraphProp2 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset2 = $true )
& ( setminusIRneg = $true )
& ( binintTransitive = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( eqbreln = $true )
& ( brelnall1 = $true )
& ( powersetT_lem = $true )
& ( notequalI2 = $true )
& ( funcGraphProp4 = $true )
& ( demorgan2a2 = $true )
& ( exuI2 = $true )
& ( ap2apEq2 = $true )
& ( complementTI1 = $true )
& ( ex1E2 = $true )
& ( breln1all1 = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ( demorgan2 = $true )
& ( binunionTE = $true )
& ( doubleComplementE1 = $true )
& ( binintersectT_lem = $true )
& ( binintersectTERcontra = $true )
& ( breln1invE = $true )
& ( setOfPairsIsBReln = $true )
& ( setadjoinIR = $true )
& ( setOfPairsIsBReln1 = $true )
& ( exu__Cong = $true )
& ( setoftrueEq = $true )
& ( cartprodmempair1 = $true )
& ( cartprodsndpairEq = $true )
& ( transitivesetOp1 = $true )
& ( woz13rule1 = $true )
& ( woz2B = $true )
& ( eqimpsubset2 = $true )
& ( image1E = $true )
& ( injFuncInInjFuncSet = $true )
& ( setukpairIR = $true )
& ( injFuncSetFuncInj = $true )
& ( nonemptyI1 = $true )
& ( setminusER = $true )
& ( funcImageSingleton = $true )
& ( prop2setI = $true )
& ( setadjoinSub2 = $true )
& ( powersetTE1 = $true )
& ( emptysetsubset = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( upairsetIL = $true )
& ( omega0Ax = $true )
& ( inIntersectImpInUnion = $true )
& ( setunion__Cong = $true )
& ( setukpairinjR = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule4 = $true )
& ( setminusSubset2 = $true )
& ( setextsub = $true )
& ( doubleComplementSub2 = $true )
& ( ubforcartprodlem1 = $true )
& ( ex1I2 = $true )
& ( funcext = $true )
& ( kfstpairEq = $true )
& ( binunionTEcontra = $true )
& ( notdallE = $true )
& ( complementTE1 = $true )
& ( singletonsubset = $true )
& ( binunionTIRcontra = $true )
& ( eqbreln1 = $true )
& ( binintersectRsub = $true )
& ( upairsubunion = $true )
& ( ordinalMinLem1 = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionLsub = $true )
& ( contrasubsetT2 = $true )
& ( setminusSubset1 = $true )
& ( dsetconstrI = $true )
& ( singletonprop = $true )
& ( dpsetconstrER = $true )
& ( breln1compE = $true )
& ( subsetRefl = $true )
& ( kpairp = $true )
& ( woz13rule3 = $true )
& ( image1Ex = $true )
& ( binunionIR = $true )
& ( symdiffIneg2 = $true )
& ( powersetE = $true )
& ( upairsetIR = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan3 = $true )
& ( cartprodfstpairEq = $true )
& ( doubleComplementSub1 = $true )
& ( powersetI1 = $true )
& ( subsetI2 = $true )
& ( woz1_5 = $true )
& ( demorgan2b = $true )
& ( emptyInPowerset = $true )
& ( singletonsswitch = $true )
& ( woz1_3 = $true )
& ( notinsingleton = $true )
& ( cartprodpairin = $true )
& ( nonemptyImpWitness = $true )
& ( breln1unionI = $true )
& ( binintersectSubset4 = $true )
& ( binintersectLsub = $true )
& ( setunionsingleton2 = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( vacuousDall = $true )
& ( funcGraphProp3 = $true )
& ( lam2p = $true )
& ( image1I = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setukpairinjR2 = $true )
& ( funcGraphProp1 = $true )
& ( eta1 = $true )
& ( contraSubsetComplement = $true )
& ( singletonsuniq = $true )
& ( surjFuncSetFuncSurj = $true )
& ( symdiffI2 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( binunionT_lem = $true )
& ( ubforcartprodlem2 = $true )
& ( setadjoinAx = $true )
& ( dsetconstrER = $true )
& ( binunionTILcontra = $true )
& ( setext = $true )
& ( ifp = $true )
& ( setunionsingleton = $true )
& ( ksndsingleton = $true )
& ( setunionsingleton1 = $true )
& ( powersetsubset = $true )
& ( image1Equiv = $true )
& ( breln1unionE = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( cartprodsndin = $true )
& ( demorgan1b = $true )
& ( iftrue = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( emptyinPowerset = $true )
& ( contrasubsetT3 = $true )
& ( exuI3 = $true )
& ( foundation2 = $true )
& ( iffalseProp2 = $true )
& ( peanoSinj = $true )
& ( ap2apEq1 = $true )
& ( disjointsetsI1 = $true )
& ( setunionI = $true )
& ( funcinfuncset = $true )
& ( powerset__Cong = $true )
& ( setunionE = $true )
& ( woz2Ex = $true )
& ( setukpairinjR12 = $true )
& ( breln1compI = $true )
& ? [X0: $i] :
( ? [X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
& ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true ) )
& ( ( ordinal @ X0 )
= $true ) )
& ( app = $true )
& ( prop2setE = $true )
& ( sepInPowerset = $true )
& ( demorgan1a = $true )
& ( doubleComplementI1 = $true )
& ( complementTcontraSubset = $true )
& ( setunionAx = $true )
& ( lam2lamEq = $true )
& ( setminusELneg = $true )
& ( binintersectER = $true )
& ( setminusEL = $true )
& ( kfstsingleton = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( peano0notS = $true )
& ( demorgan1 = $true )
& ( exuE3u = $true )
& ( breln1unionIR = $true )
& ( descrp = $true )
& ( demorgan2b2 = $true )
& ( woz2A = $true )
& ( cartprodfstin = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( apProp = $true )
& ( inPowerset = $true )
& ( setminusILneg = $true )
& ( cartprodpairmemEL = $true )
& ( ap2p = $true )
& ( funcextLem = $true )
& ( binunionEcases = $true )
& ( surjFuncSetFuncIn = $true )
& ( iffalse = $true )
& ( complementTnotintersectT = $true )
& ( singletoninpowerset = $true )
& ( nonemptyE1 = $true )
& ( symdiffIneg1 = $true )
& ( subbreln = $true )
& ( subsetemptysetimpeq = $true )
& ( singletoninpowunion = $true )
& ( eta2 = $true ) ),
inference(rectify,[],[f1411]) ).
thf(f1972,plain,
( ( setukpairIL = $true )
& ( dpsetconstrEL1 = $true )
& ( setadjoinOr = $true )
& ( setukpairinjR11 = $true )
& ( subsetE2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( injFuncSetFuncIn = $true )
& ( notdexE = $true )
& ( subset2powerset = $true )
& ( setbeta = $true )
& ( breln1unionCommutes = $true )
& ( setadjoinIL = $true )
& ( complementT_lem = $true )
& ( breln1invprop = $true )
& ( foundationAx = $true )
& ( ex1E1 = $true )
& ( eqinunit = $true )
& ( emptysetAx = $true )
& ( inCongP = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset5 = $true )
& ( notequalI1 = $true )
& ( woz13rule2 = $true )
& ( uniqinunit = $true )
& ( contrasubsetT = $true )
& ( kpairsurjEq = $true )
& ( cartprodmempaircEq = $true )
& ( emptyinunitempty = $true )
& ( transitivesetOp2 = $true )
& ( contrasubsetT1 = $true )
& ( cartprodmempair = $true )
& ( omegaIndAx = $true )
& ( lamp = $true )
& ( kpairiskpair = $true )
& ( symdiffE = $true )
& ( upairequniteq = $true )
& ( binunionE = $true )
& ( upairset2E = $true )
& ( setminusI = $true )
& ( setukpairinjL1 = $true )
& ( leftInvIsSurj = $true )
& ( breln1unionIL = $true )
& ( theprop = $true )
& ( quantDeMorgan1 = $true )
& ( noeltsimpempty = $true )
& ( exuE1 = $true )
& ( dpsetconstrSub = $true )
& ( powersetAx = $true )
& ( exuI1 = $true )
& ( breln1unionEcases = $true )
& ( breln1SetBreln1 = $true )
& ( setminusT_lem = $true )
& ( subsetTrans = $true )
& ( iftrueProp2 = $true )
& ( subbreln1 = $true )
& ( omegaSp = $true )
& ( breln1compEex = $true )
& ( woz13rule0 = $true )
& ( in__Cong = $true )
& ( subPowSU = $true )
& ( beta1 = $true )
& ( replAx = $true )
& ( emptyI = $true )
& ( binintersectTELcontra = $true )
& ( setunionTransitive = $true )
& ( setminusLsub = $true )
& ( dpsetconstrEL2 = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( notsubsetI = $true )
& ( woz1_2 = $true )
& ( breln1compprop = $true )
& ( surjCantorThm = $true )
& ( demorgan2a = $true )
& ( breln1all2 = $true )
& ( setextT = $true )
& ( dpsetconstrERa = $true )
& ( prop2set2propI = $true )
& ( iftrueorfalse = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( choice2fnsingleton = $true )
& ( theeq = $true )
& ( descr__Cong = $true )
& ( notinself = $true )
& ( ex1I = $true )
& ( woz2W = $true )
& ( sepSubset = $true )
& ( image1Ex1 = $true )
& ( setukpairinjL2 = $true )
& ( demorgan2a1 = $true )
& ( exuEu = $true )
& ( beta2 = $true )
& ( wellorderingAx = $true )
& ( dpsetconstrI = $true )
& ( breln1invI = $true )
& ( notinself2 = $true )
& ( setminusERneg = $true )
& ( ifSingleton = $true )
& ( funcext2 = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( infuncsetfunc = $true )
& ( notinemptyset = $true )
& ( subsetTI = $true )
& ( emptyset__Cong = $true )
& ( brelnall2 = $true )
& ( omegaSclos = $true )
& ( bs114d = $true )
& ( symdiffI1 = $true )
& ( woz1_4 = $true )
& ( cartprodpairsurjEq = $true )
& ( dsetconstrEL = $true )
& ( iftrueProp1 = $true )
& ( secondinupair = $true )
& ( doubleComplementEq = $true )
& ( complementUnionInPowersetComplement = $true )
& ( upairset2IR = $true )
& ( breln1unionprop = $true )
& ( binunionIL = $true )
& ( setadjoinSub = $true )
& ( powersetTI1 = $true )
& ( powersetE1 = $true )
& ( powersetI = $true )
& ( funcGraphProp2 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectSubset2 = $true )
& ( setminusIRneg = $true )
& ( binintTransitive = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( eqbreln = $true )
& ( brelnall1 = $true )
& ( powersetT_lem = $true )
& ( notequalI2 = $true )
& ( funcGraphProp4 = $true )
& ( demorgan2a2 = $true )
& ( exuI2 = $true )
& ( ap2apEq2 = $true )
& ( complementTI1 = $true )
& ( ex1E2 = $true )
& ( breln1all1 = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ( demorgan2 = $true )
& ( binunionTE = $true )
& ( doubleComplementE1 = $true )
& ( binintersectT_lem = $true )
& ( binintersectTERcontra = $true )
& ( breln1invE = $true )
& ( setOfPairsIsBReln = $true )
& ( setadjoinIR = $true )
& ( setOfPairsIsBReln1 = $true )
& ( exu__Cong = $true )
& ( setoftrueEq = $true )
& ( cartprodmempair1 = $true )
& ( cartprodsndpairEq = $true )
& ( transitivesetOp1 = $true )
& ( woz13rule1 = $true )
& ( woz2B = $true )
& ( eqimpsubset2 = $true )
& ( image1E = $true )
& ( injFuncInInjFuncSet = $true )
& ( setukpairIR = $true )
& ( injFuncSetFuncInj = $true )
& ( nonemptyI1 = $true )
& ( setminusER = $true )
& ( funcImageSingleton = $true )
& ( prop2setI = $true )
& ( setadjoinSub2 = $true )
& ( powersetTE1 = $true )
& ( emptysetsubset = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( upairsetIL = $true )
& ( omega0Ax = $true )
& ( inIntersectImpInUnion = $true )
& ( setunion__Cong = $true )
& ( setukpairinjR = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule4 = $true )
& ( setminusSubset2 = $true )
& ( setextsub = $true )
& ( doubleComplementSub2 = $true )
& ( ubforcartprodlem1 = $true )
& ( ex1I2 = $true )
& ( funcext = $true )
& ( kfstpairEq = $true )
& ( binunionTEcontra = $true )
& ( notdallE = $true )
& ( complementTE1 = $true )
& ( singletonsubset = $true )
& ( binunionTIRcontra = $true )
& ( eqbreln1 = $true )
& ( binintersectRsub = $true )
& ( upairsubunion = $true )
& ( ordinalMinLem1 = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionLsub = $true )
& ( contrasubsetT2 = $true )
& ( setminusSubset1 = $true )
& ( dsetconstrI = $true )
& ( singletonprop = $true )
& ( dpsetconstrER = $true )
& ( breln1compE = $true )
& ( subsetRefl = $true )
& ( kpairp = $true )
& ( woz13rule3 = $true )
& ( image1Ex = $true )
& ( binunionIR = $true )
& ( symdiffIneg2 = $true )
& ( powersetE = $true )
& ( upairsetIR = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan3 = $true )
& ( cartprodfstpairEq = $true )
& ( doubleComplementSub1 = $true )
& ( powersetI1 = $true )
& ( subsetI2 = $true )
& ( woz1_5 = $true )
& ( demorgan2b = $true )
& ( emptyInPowerset = $true )
& ( singletonsswitch = $true )
& ( woz1_3 = $true )
& ( notinsingleton = $true )
& ( cartprodpairin = $true )
& ( nonemptyImpWitness = $true )
& ( breln1unionI = $true )
& ( binintersectSubset4 = $true )
& ( binintersectLsub = $true )
& ( setunionsingleton2 = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( vacuousDall = $true )
& ( funcGraphProp3 = $true )
& ( lam2p = $true )
& ( image1I = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setukpairinjR2 = $true )
& ( funcGraphProp1 = $true )
& ( eta1 = $true )
& ( contraSubsetComplement = $true )
& ( singletonsuniq = $true )
& ( surjFuncSetFuncSurj = $true )
& ( symdiffI2 = $true )
& ( setukpairinjR1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( binunionT_lem = $true )
& ( ubforcartprodlem2 = $true )
& ( setadjoinAx = $true )
& ( dsetconstrER = $true )
& ( binunionTILcontra = $true )
& ( setext = $true )
& ( ifp = $true )
& ( setunionsingleton = $true )
& ( ksndsingleton = $true )
& ( setunionsingleton1 = $true )
& ( powersetsubset = $true )
& ( image1Equiv = $true )
& ( breln1unionE = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( cartprodsndin = $true )
& ( demorgan1b = $true )
& ( iftrue = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( emptyinPowerset = $true )
& ( contrasubsetT3 = $true )
& ( exuI3 = $true )
& ( foundation2 = $true )
& ( iffalseProp2 = $true )
& ( peanoSinj = $true )
& ( ap2apEq1 = $true )
& ( disjointsetsI1 = $true )
& ( setunionI = $true )
& ( funcinfuncset = $true )
& ( powerset__Cong = $true )
& ( setunionE = $true )
& ( woz2Ex = $true )
& ( setukpairinjR12 = $true )
& ( breln1compI = $true )
& ( $true
= ( in @ sK550 @ sK549 ) )
& ( $true
!= ( in @ sK551 @ sK549 ) )
& ( $true
= ( in @ sK551 @ sK550 ) )
& ( ( ordinal @ sK549 )
= $true )
& ( app = $true )
& ( prop2setE = $true )
& ( sepInPowerset = $true )
& ( demorgan1a = $true )
& ( doubleComplementI1 = $true )
& ( complementTcontraSubset = $true )
& ( setunionAx = $true )
& ( lam2lamEq = $true )
& ( setminusELneg = $true )
& ( binintersectER = $true )
& ( setminusEL = $true )
& ( kfstsingleton = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( peano0notS = $true )
& ( demorgan1 = $true )
& ( exuE3u = $true )
& ( breln1unionIR = $true )
& ( descrp = $true )
& ( demorgan2b2 = $true )
& ( woz2A = $true )
& ( cartprodfstin = $true )
& ( ubforcartprodlem3 = $true )
& ( complementImpComplementIntersect = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( apProp = $true )
& ( inPowerset = $true )
& ( setminusILneg = $true )
& ( cartprodpairmemEL = $true )
& ( ap2p = $true )
& ( funcextLem = $true )
& ( binunionEcases = $true )
& ( surjFuncSetFuncIn = $true )
& ( iffalse = $true )
& ( complementTnotintersectT = $true )
& ( singletoninpowerset = $true )
& ( nonemptyE1 = $true )
& ( symdiffIneg1 = $true )
& ( subbreln = $true )
& ( subsetemptysetimpeq = $true )
& ( singletoninpowunion = $true )
& ( eta2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK549,sK550,sK551]),skolemize(X0,sK549),skolemize(X1,sK550),skolemize(X2,sK551)],[f1971]) ).
thf(f2199,plain,
( ( ( binintersectSubset4 = $true )
| ? [X1: $i,X0: $i] :
( ( ( binintersect @ X0 @ X1 )
!= X1 )
& ( ( subset @ X1 @ X0 )
= $true ) ) )
& ( ! [X1: $i,X0: $i] :
( ( ( binintersect @ X0 @ X1 )
= X1 )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( binintersectSubset4 != $true ) ) ),
inference(nnf_transformation,[],[f1169]) ).
thf(f2200,plain,
( ( ( binintersectSubset4 = $true )
| ? [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
!= X0 )
& ( ( subset @ X0 @ X1 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( binintersect @ X3 @ X2 )
= X2 )
| ( ( subset @ X2 @ X3 )
!= $true ) )
| ( binintersectSubset4 != $true ) ) ),
inference(rectify,[],[f2199]) ).
thf(f2201,plain,
( ( ( binintersectSubset4 = $true )
| ( ( sK787
!= ( binintersect @ sK788 @ sK787 ) )
& ( ( subset @ sK787 @ sK788 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( binintersect @ X3 @ X2 )
= X2 )
| ( ( subset @ X2 @ X3 )
!= $true ) )
| ( binintersectSubset4 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK787,sK788]),skolemize(X0,sK787),skolemize(X1,sK788)],[f2200]) ).
thf(f2802,plain,
! [X2: $i,X3: $i] :
( ( $true
!= ( ordinal @ X3 ) )
| ( ( ordinal @ X2 )
!= $true )
| ( ordinalMinLem1 != $true )
| ( $true
= ( transitiveset @ ( binintersect @ X2 @ X3 ) ) ) ),
inference(cnf_transformation,[],[f1701]) ).
thf(f2810,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( transitiveset @ X0 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true )
| ( transitivesetOp2 != $true ) ),
inference(cnf_transformation,[],[f1704]) ).
thf(f2906,plain,
! [X0: $i] :
( ( ( subset @ X0 @ X0 )
= $true )
| ( subsetRefl != $true ) ),
inference(cnf_transformation,[],[f1764]) ).
thf(f3280,plain,
( ( ordinal @ sK549 )
= $true ),
inference(cnf_transformation,[],[f1972]) ).
thf(f3281,plain,
( $true
= ( in @ sK551 @ sK550 ) ),
inference(cnf_transformation,[],[f1972]) ).
thf(f3282,plain,
( $true
!= ( in @ sK551 @ sK549 ) ),
inference(cnf_transformation,[],[f1972]) ).
thf(f3283,plain,
( $true
= ( in @ sK550 @ sK549 ) ),
inference(cnf_transformation,[],[f1972]) ).
thf(f3337,plain,
binintersectSubset4 = $true,
inference(cnf_transformation,[],[f1972]) ).
thf(f3360,plain,
subsetRefl = $true,
inference(cnf_transformation,[],[f1972]) ).
thf(f3372,plain,
ordinalMinLem1 = $true,
inference(cnf_transformation,[],[f1972]) ).
thf(f3545,plain,
transitivesetOp2 = $true,
inference(cnf_transformation,[],[f1972]) ).
thf(f3892,plain,
! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
| ( ( binintersect @ X3 @ X2 )
= X2 )
| ( binintersectSubset4 != $true ) ),
inference(cnf_transformation,[],[f2201]) ).
thf(f5065,definition,
( spl1092_123
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( transitiveset @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_123])],[avatar_definition]) ).
thf(f5066,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( transitiveset @ X0 )
!= $true )
| ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) )
| ~ spl1092_123 ),
inference(avatar_component_clause,[],[f5065]) ).
thf(f5068,definition,
( spl1092_124
<=> ( transitivesetOp2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_124])],[avatar_definition]) ).
thf(f5071,plain,
( spl1092_123
| ~ spl1092_124 ),
inference(avatar_split_clause,[],[f2810,f5068,f5065]) ).
thf(f5278,definition,
( spl1092_171
<=> ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
| ( ( binintersect @ X3 @ X2 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_171])],[avatar_definition]) ).
thf(f5279,plain,
( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
| ( ( binintersect @ X3 @ X2 )
= X2 ) )
| ~ spl1092_171 ),
inference(avatar_component_clause,[],[f5278]) ).
thf(f5281,definition,
( spl1092_172
<=> ( binintersectSubset4 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_172])],[avatar_definition]) ).
thf(f5284,plain,
( spl1092_171
| ~ spl1092_172 ),
inference(avatar_split_clause,[],[f3892,f5281,f5278]) ).
thf(f6065,definition,
( spl1092_345
<=> ( ordinalMinLem1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_345])],[avatar_definition]) ).
thf(f8028,definition,
( spl1092_775
<=> ( subsetRefl = $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_775])],[avatar_definition]) ).
thf(f8100,definition,
( spl1092_790
<=> ! [X3: $i] :
( $true
= ( subset @ X3 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_790])],[avatar_definition]) ).
thf(f8101,plain,
( ! [X3: $i] :
( $true
= ( subset @ X3 @ X3 ) )
| ~ spl1092_790 ),
inference(avatar_component_clause,[],[f8100]) ).
thf(f8625,definition,
( spl1092_901
<=> ( $true
= ( in @ sK551 @ sK550 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_901])],[avatar_definition]) ).
thf(f8627,plain,
( ( $true
= ( in @ sK551 @ sK550 ) )
| ~ spl1092_901 ),
inference(avatar_component_clause,[],[f8625]) ).
thf(f8628,plain,
spl1092_901,
inference(avatar_split_clause,[],[f3281,f8625]) ).
thf(f11330,plain,
spl1092_775,
inference(avatar_split_clause,[],[f3360,f8028]) ).
thf(f11749,definition,
( spl1092_1538
<=> ( ( ordinal @ sK549 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_1538])],[avatar_definition]) ).
thf(f11751,plain,
( ( ( ordinal @ sK549 )
= $true )
| ~ spl1092_1538 ),
inference(avatar_component_clause,[],[f11749]) ).
thf(f11752,plain,
spl1092_1538,
inference(avatar_split_clause,[],[f3280,f11749]) ).
thf(f11765,plain,
( ~ spl1092_775
| spl1092_790 ),
inference(avatar_split_clause,[],[f2906,f8100,f8028]) ).
thf(f11804,definition,
( spl1092_1549
<=> ! [X2: $i,X3: $i] :
( ( $true
!= ( ordinal @ X3 ) )
| ( ( ordinal @ X2 )
!= $true )
| ( $true
= ( transitiveset @ ( binintersect @ X2 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_1549])],[avatar_definition]) ).
thf(f11805,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( ordinal @ X3 ) )
| ( $true
= ( transitiveset @ ( binintersect @ X2 @ X3 ) ) )
| ( ( ordinal @ X2 )
!= $true ) )
| ~ spl1092_1549 ),
inference(avatar_component_clause,[],[f11804]) ).
thf(f11806,plain,
( spl1092_1549
| ~ spl1092_345 ),
inference(avatar_split_clause,[],[f2802,f6065,f11804]) ).
thf(f12092,plain,
spl1092_124,
inference(avatar_split_clause,[],[f3545,f5068]) ).
thf(f12349,plain,
spl1092_345,
inference(avatar_split_clause,[],[f3372,f6065]) ).
thf(f12374,definition,
( spl1092_1664
<=> ( $true
= ( in @ sK551 @ sK549 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_1664])],[avatar_definition]) ).
thf(f12376,plain,
( ( $true
!= ( in @ sK551 @ sK549 ) )
| spl1092_1664 ),
inference(avatar_component_clause,[],[f12374]) ).
thf(f12377,plain,
~ spl1092_1664,
inference(avatar_split_clause,[],[f3282,f12374]) ).
thf(f12414,plain,
spl1092_172,
inference(avatar_split_clause,[],[f3337,f5281]) ).
thf(f12499,definition,
( spl1092_1689
<=> ( $true
= ( in @ sK550 @ sK549 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_1689])],[avatar_definition]) ).
thf(f12501,plain,
( ( $true
= ( in @ sK550 @ sK549 ) )
| ~ spl1092_1689 ),
inference(avatar_component_clause,[],[f12499]) ).
thf(f12502,plain,
spl1092_1689,
inference(avatar_split_clause,[],[f3283,f12499]) ).
thf(f13288,plain,
( ! [X0: $i] :
( ( ( binintersect @ X0 @ X0 )
= X0 )
| ( $true != $true ) )
| ~ spl1092_171
| ~ spl1092_790 ),
inference(superposition,[],[f5279,f8101]) ).
thf(f13303,plain,
( ! [X0: $i] :
( ( binintersect @ X0 @ X0 )
= X0 )
| ~ spl1092_171
| ~ spl1092_790 ),
inference(trivial_inequality_removal,[],[f13288]) ).
thf(f13722,plain,
( ! [X0: $i] :
( ( $true
= ( transitiveset @ ( binintersect @ X0 @ sK549 ) ) )
| ( ( ordinal @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl1092_1538
| ~ spl1092_1549 ),
inference(superposition,[],[f11805,f11751]) ).
thf(f13723,plain,
( ! [X0: $i] :
( ( ( ordinal @ X0 )
!= $true )
| ( $true
= ( transitiveset @ ( binintersect @ X0 @ sK549 ) ) ) )
| ~ spl1092_1538
| ~ spl1092_1549 ),
inference(trivial_inequality_removal,[],[f13722]) ).
thf(f13794,definition,
( spl1092_1813
<=> ( $true
= ( transitiveset @ sK549 ) ) ),
introduced(definition,[new_symbols(definition,[spl1092_1813])],[avatar_definition]) ).
thf(f15088,plain,
( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ( ( in @ sK550 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( in @ sK551 @ X0 ) ) )
| ~ spl1092_123
| ~ spl1092_901 ),
inference(superposition,[],[f5066,f8627]) ).
thf(f15106,plain,
( ! [X0: $i] :
( ( ( in @ sK550 @ X0 )
!= $true )
| ( ( transitiveset @ X0 )
!= $true )
| ( $true
= ( in @ sK551 @ X0 ) ) )
| ~ spl1092_123
| ~ spl1092_901 ),
inference(trivial_inequality_removal,[],[f15088]) ).
thf(f21218,plain,
( ( $true != $true )
| ( ( transitiveset @ ( binintersect @ sK549 @ sK549 ) )
= $true )
| ~ spl1092_1538
| ~ spl1092_1549 ),
inference(superposition,[],[f13723,f11751]) ).
thf(f21219,plain,
( ( ( transitiveset @ ( binintersect @ sK549 @ sK549 ) )
= $true )
| ~ spl1092_1538
| ~ spl1092_1549 ),
inference(trivial_inequality_removal,[],[f21218]) ).
thf(f21221,definition,
( spl1092_2035
<=> ( ( transitiveset @ ( binintersect @ sK549 @ sK549 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1092_2035])],[avatar_definition]) ).
thf(f21223,plain,
( ( ( transitiveset @ ( binintersect @ sK549 @ sK549 ) )
= $true )
| ~ spl1092_2035 ),
inference(avatar_component_clause,[],[f21221]) ).
thf(f21224,plain,
( spl1092_2035
| ~ spl1092_1538
| ~ spl1092_1549 ),
inference(avatar_split_clause,[],[f21219,f11804,f11749,f21221]) ).
thf(f22280,plain,
( ( $true != $true )
| ( $true
!= ( transitiveset @ sK549 ) )
| ( $true
= ( in @ sK551 @ sK549 ) )
| ~ spl1092_123
| ~ spl1092_901
| ~ spl1092_1689 ),
inference(superposition,[],[f15106,f12501]) ).
thf(f22286,plain,
( ( $true
= ( in @ sK551 @ sK549 ) )
| ( $true
!= ( transitiveset @ sK549 ) )
| ~ spl1092_123
| ~ spl1092_901
| ~ spl1092_1689 ),
inference(trivial_inequality_removal,[],[f22280]) ).
thf(f50726,plain,
( ( $true
= ( transitiveset @ sK549 ) )
| ~ spl1092_171
| ~ spl1092_790
| ~ spl1092_2035 ),
inference(forward_demodulation,[],[f21223,f13303]) ).
thf(f50729,plain,
( spl1092_1813
| ~ spl1092_171
| ~ spl1092_790
| ~ spl1092_2035 ),
inference(avatar_split_clause,[],[f50726,f21221,f8100,f5278,f13794]) ).
thf(f50730,plain,
( ( $true
!= ( transitiveset @ sK549 ) )
| ~ spl1092_123
| ~ spl1092_901
| spl1092_1664
| ~ spl1092_1689 ),
inference(forward_subsumption_resolution,[],[f22286,f12376]) ).
thf(f50737,plain,
( ~ spl1092_1813
| ~ spl1092_123
| ~ spl1092_901
| spl1092_1664
| ~ spl1092_1689 ),
inference(avatar_split_clause,[],[f50730,f12499,f12374,f8625,f5065,f13794]) ).
cnf(s72,plain,
( spl1092_123
| ~ spl1092_124 ),
inference(sat_conversion,[],[f5071]) ).
cnf(s103,plain,
( spl1092_171
| ~ spl1092_172 ),
inference(sat_conversion,[],[f5284]) ).
cnf(s712,plain,
spl1092_901,
inference(sat_conversion,[],[f8628]) ).
cnf(s1411,plain,
spl1092_775,
inference(sat_conversion,[],[f11330]) ).
cnf(s1512,plain,
spl1092_1538,
inference(sat_conversion,[],[f11752]) ).
cnf(s1516,plain,
( ~ spl1092_775
| spl1092_790 ),
inference(sat_conversion,[],[f11765]) ).
cnf(s1528,plain,
( ~ spl1092_345
| spl1092_1549 ),
inference(sat_conversion,[],[f11806]) ).
cnf(s1610,plain,
spl1092_124,
inference(sat_conversion,[],[f12092]) ).
cnf(s1672,plain,
spl1092_345,
inference(sat_conversion,[],[f12349]) ).
cnf(s1679,plain,
~ spl1092_1664,
inference(sat_conversion,[],[f12377]) ).
cnf(s1688,plain,
spl1092_172,
inference(sat_conversion,[],[f12414]) ).
cnf(s1713,plain,
spl1092_1689,
inference(sat_conversion,[],[f12502]) ).
cnf(s2135,plain,
( ~ spl1092_1538
| ~ spl1092_1549
| spl1092_2035 ),
inference(sat_conversion,[],[f21224]) ).
cnf(s3534,plain,
( ~ spl1092_171
| ~ spl1092_790
| spl1092_1813
| ~ spl1092_2035 ),
inference(sat_conversion,[],[f50729]) ).
cnf(s3536,plain,
( ~ spl1092_123
| ~ spl1092_901
| spl1092_1664
| ~ spl1092_1689
| ~ spl1092_1813 ),
inference(sat_conversion,[],[f50737]) ).
cnf(s3553,plain,
spl1092_1549,
inference(rat,[],[s1528,s1672]) ).
cnf(s3555,plain,
spl1092_2035,
inference(rat,[],[s2135,s3553,s1512]) ).
cnf(s3569,plain,
spl1092_790,
inference(rat,[],[s1516,s1411]) ).
cnf(s4423,plain,
spl1092_171,
inference(rat,[],[s103,s1688]) ).
cnf(s4424,plain,
spl1092_1813,
inference(rat,[],[s3534,s3555,s3569,s4423]) ).
cnf(s4432,plain,
~ spl1092_123,
inference(rat,[],[s3536,s712,s1713,s1679,s4424]) ).
cnf(s4487,plain,
$false,
inference(rat,[],[s72,s1610,s4432]) ).
thf(f50739,plain,
$false,
inference(avatar_sat_refutation,[],[s4487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU817^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:31:56 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.23/0.31 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
% 0.82/0.48 % (3448345)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.82/0.48 % (3448355)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2298283255:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.82/0.48 % (3448356)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.82/0.48 % (3448356)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
% 0.82/0.48 % (3448351)lrs+10_16_si=on:nwc=1.5:random_seed=2442156075:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.82/0.48 % (3448352)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=428660316:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.82/0.48 % (3448350)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1901883960:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.82/0.48 % (3448354)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=504787279:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.82/0.48 % (3448353)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=670977713: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)
% 0.82/0.48 % (3448356)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=2056550529:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.82/0.48 % (3448352)Instruction limit reached!
% 0.82/0.48 % (3448352)------------------------------
% 0.82/0.48 % (3448352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3448352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3448352)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3448352)Termination reason: Instruction limit
% 0.82/0.48 % (3448352)Termination phase: shuffling
% 0.82/0.48 % (3448352)Time elapsed: 0.002 s
% 0.82/0.48 % (3448352)Peak memory usage: 10 MB
% 0.82/0.48 % (3448352)Instructions burned: 4 (million)
% 0.82/0.48 % (3448351)Instruction limit reached!
% 0.82/0.48 % (3448351)------------------------------
% 0.82/0.48 % (3448351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3448351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3448351)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3448351)Termination reason: Instruction limit
% 0.82/0.48 % (3448351)Termination phase: shuffling
% 0.82/0.48 % (3448351)Time elapsed: 0.009 s
% 0.82/0.48 % (3448351)Peak memory usage: 10 MB
% 0.82/0.48 % (3448351)Instructions burned: 19 (million)
% 0.82/0.48 % (3448355)Instruction limit reached!
% 0.82/0.48 % (3448355)------------------------------
% 0.82/0.48 % (3448355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3448355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3448355)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3448355)Termination reason: Instruction limit
% 0.82/0.48 % (3448355)Termination phase: Preprocessing 1
% 0.82/0.48 % (3448355)Time elapsed: 0.017 s
% 0.82/0.48 % (3448355)Peak memory usage: 11 MB
% 0.82/0.48 % (3448355)Instructions burned: 77 (million)
% 0.82/0.48 % (3448354)Instruction limit reached!
% 0.82/0.48 % (3448354)------------------------------
% 0.82/0.48 % (3448354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (3448354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (3448354)CaDiCaL version: 2.1.3
% 0.82/0.48 % (3448354)Termination reason: Instruction limit
% 0.82/0.48 % (3448354)Termination phase: shuffling
% 0.82/0.48 % (3448354)Time elapsed: 0.012 s
% 0.82/0.48 % (3448354)Peak memory usage: 11 MB
% 0.82/0.48 % (3448354)Instructions burned: 26 (million)
% 0.82/0.48 % (3448366)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.48 % (3448366)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1810030808:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.51 % (3448364)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1150589413:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.51 % (3448366)Instruction limit reached!
% 0.82/0.51 % (3448366)------------------------------
% 0.82/0.51 % (3448366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448366)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448366)Termination reason: Instruction limit
% 0.82/0.51 % (3448366)Termination phase: shuffling
% 0.82/0.51 % (3448366)Time elapsed: 0.003 s
% 0.82/0.51 % (3448366)Peak memory usage: 10 MB
% 0.82/0.51 % (3448366)Instructions burned: 11 (million)
% 0.82/0.51 % (3448364)Instruction limit reached!
% 0.82/0.51 % (3448364)------------------------------
% 0.82/0.51 % (3448364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448364)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448364)Termination reason: Instruction limit
% 0.82/0.51 % (3448364)Termination phase: shuffling
% 0.82/0.51 % (3448364)Time elapsed: 0.002 s
% 0.82/0.51 % (3448364)Peak memory usage: 10 MB
% 0.82/0.51 % (3448364)Instructions burned: 4 (million)
% 0.82/0.51 % (3448365)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=274656893:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.51 % (3448367)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3920929436:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.51 % (3448370)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
% 0.82/0.51 % (3448370)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.51 % (3448365)Instruction limit reached!
% 0.82/0.51 % (3448365)------------------------------
% 0.82/0.51 % (3448365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448365)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448365)Termination reason: Instruction limit
% 0.82/0.51 % (3448365)Termination phase: shuffling
% 0.82/0.51 % (3448365)Time elapsed: 0.003 s
% 0.82/0.51 % (3448365)Peak memory usage: 10 MB
% 0.82/0.51 % (3448365)Instructions burned: 7 (million)
% 0.82/0.51 % (3448370)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2936082274:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.51 % (3448367)Instruction limit reached!
% 0.82/0.51 % (3448367)------------------------------
% 0.82/0.51 % (3448367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448367)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448367)Termination reason: Instruction limit
% 0.82/0.51 % (3448367)Termination phase: shuffling
% 0.82/0.51 % (3448367)Time elapsed: 0.007 s
% 0.82/0.51 % (3448367)Peak memory usage: 10 MB
% 0.82/0.51 % (3448367)Instructions burned: 14 (million)
% 0.82/0.51 % (3448350)Instruction limit reached!
% 0.82/0.51 % (3448350)------------------------------
% 0.82/0.51 % (3448350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448350)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448350)Termination reason: Instruction limit
% 0.82/0.51 % (3448350)Termination phase: Preprocessing 3
% 0.82/0.51 % (3448350)Time elapsed: 0.042 s
% 0.82/0.51 % (3448350)Peak memory usage: 12 MB
% 0.82/0.51 % (3448350)Instructions burned: 93 (million)
% 0.82/0.51 % (3448370)Instruction limit reached!
% 0.82/0.51 % (3448370)------------------------------
% 0.82/0.51 % (3448370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.51 % (3448370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.51 % (3448370)CaDiCaL version: 2.1.3
% 0.82/0.51 % (3448370)Termination reason: Instruction limit
% 0.82/0.55 % (3448370)Termination phase: shuffling
% 0.82/0.55 % (3448370)Time elapsed: 0.007 s
% 0.82/0.55 % (3448370)Peak memory usage: 11 MB
% 0.82/0.55 % (3448370)Instructions burned: 31 (million)
% 0.82/0.55 % (3448371)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=2421722087:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.55 % (3448374)lrs+10_1_si=on:cs=on:random_seed=843797227:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.82/0.55 % (3448374)Instruction limit reached!
% 0.82/0.55 % (3448374)------------------------------
% 0.82/0.55 % (3448374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.55 % (3448374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.55 % (3448374)CaDiCaL version: 2.1.3
% 0.82/0.55 % (3448374)Termination reason: Instruction limit
% 0.82/0.55 % (3448374)Termination phase: shuffling
% 0.82/0.55 % (3448374)Time elapsed: 0.003 s
% 0.82/0.55 % (3448374)Peak memory usage: 10 MB
% 0.82/0.55 % (3448374)Instructions burned: 13 (million)
% 0.82/0.55 % (3448376)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.55 % (3448376)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=502523175:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.55 % (3448376)Instruction limit reached!
% 0.82/0.55 % (3448376)------------------------------
% 0.82/0.55 % (3448376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.55 % (3448376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.55 % (3448376)CaDiCaL version: 2.1.3
% 0.82/0.55 % (3448376)Termination reason: Instruction limit
% 0.82/0.55 % (3448376)Termination phase: shuffling
% 0.82/0.55 % (3448376)Time elapsed: 0.002 s
% 0.82/0.55 % (3448376)Peak memory usage: 10 MB
% 0.82/0.55 % (3448376)Instructions burned: 3 (million)
% 0.82/0.55 % (3448356)Instruction limit reached!
% 0.82/0.55 % (3448356)------------------------------
% 0.82/0.55 % (3448356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.55 % (3448356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.55 % (3448356)CaDiCaL version: 2.1.3
% 0.82/0.55 % (3448356)Termination reason: Instruction limit
% 0.82/0.55 % (3448356)Termination phase: Twee Goal Transformation
% 0.82/0.55 % (3448356)Time elapsed: 0.066 s
% 0.82/0.55 % (3448356)Peak memory usage: 12 MB
% 0.82/0.55 % (3448356)Instructions burned: 158 (million)
% 0.82/0.55 % (3448377)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3867744727:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.82/0.55 % (3448383)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4261401168:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.55 % (3448383)Instruction limit reached!
% 0.82/0.55 % (3448383)------------------------------
% 0.82/0.55 % (3448383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.55 % (3448383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.55 % (3448383)CaDiCaL version: 2.1.3
% 0.82/0.55 % (3448383)Termination reason: Instruction limit
% 0.82/0.55 % (3448383)Termination phase: shuffling
% 0.82/0.55 % (3448383)Time elapsed: 0.004 s
% 0.82/0.55 % (3448383)Peak memory usage: 10 MB
% 0.82/0.55 % (3448383)Instructions burned: 17 (million)
% 0.82/0.55 % (3448378)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1263972152:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.82/0.55 % (3448381)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1726154213:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.82/0.55 % (3448384)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2888638761:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.55 % (3448377)Instruction limit reached!
% 0.82/0.55 % (3448377)------------------------------
% 0.82/0.55 % (3448377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.55 % (3448377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448377)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448377)Termination reason: Instruction limit
% 1.57/0.62 % (3448377)Termination phase: Property scanning
% 1.57/0.62 % (3448377)Time elapsed: 0.019 s
% 1.57/0.62 % (3448377)Peak memory usage: 11 MB
% 1.57/0.62 % (3448377)Instructions burned: 43 (million)
% 1.57/0.62 % (3448381)Instruction limit reached!
% 1.57/0.62 % (3448381)------------------------------
% 1.57/0.62 % (3448381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.62 % (3448381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448381)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448381)Termination reason: Instruction limit
% 1.57/0.62 % (3448381)Termination phase: shuffling
% 1.57/0.62 % (3448381)Time elapsed: 0.012 s
% 1.57/0.62 % (3448381)Peak memory usage: 10 MB
% 1.57/0.62 % (3448381)Instructions burned: 26 (million)
% 1.57/0.62 % (3448391)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=544170899: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)
% 1.57/0.62 % (3448387)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1296963002:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.57/0.62 % (3448391)Instruction limit reached!
% 1.57/0.62 % (3448391)------------------------------
% 1.57/0.62 % (3448391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.62 % (3448391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448391)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448391)Termination reason: Instruction limit
% 1.57/0.62 % (3448391)Termination phase: shuffling
% 1.57/0.62 % (3448391)Time elapsed: 0.001 s
% 1.57/0.62 % (3448391)Peak memory usage: 10 MB
% 1.57/0.62 % (3448391)Instructions burned: 3 (million)
% 1.57/0.62 % (3448371)Instruction limit reached!
% 1.57/0.62 % (3448371)------------------------------
% 1.57/0.62 % (3448371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.62 % (3448371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448371)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448371)Termination reason: Instruction limit
% 1.57/0.62 % (3448371)Termination phase: Property scanning
% 1.57/0.62 % (3448371)Time elapsed: 0.056 s
% 1.57/0.62 % (3448371)Peak memory usage: 11 MB
% 1.57/0.62 % (3448371)Instructions burned: 88 (million)
% 1.57/0.62 % (3448387)Instruction limit reached!
% 1.57/0.62 % (3448387)------------------------------
% 1.57/0.62 % (3448387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.62 % (3448387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448387)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448387)Termination reason: Instruction limit
% 1.57/0.62 % (3448387)Termination phase: shuffling
% 1.57/0.62 % (3448387)Time elapsed: 0.007 s
% 1.57/0.62 % (3448387)Peak memory usage: 10 MB
% 1.57/0.62 % (3448387)Instructions burned: 15 (million)
% 1.57/0.62 % (3448395)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3606889271:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.57/0.62 % (3448395)Instruction limit reached!
% 1.57/0.62 % (3448395)------------------------------
% 1.57/0.62 % (3448395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.62 % (3448395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.62 % (3448395)CaDiCaL version: 2.1.3
% 1.57/0.62 % (3448395)Termination reason: Instruction limit
% 1.57/0.62 % (3448395)Termination phase: shuffling
% 1.57/0.62 % (3448395)Time elapsed: 0.005 s
% 1.57/0.62 % (3448395)Peak memory usage: 11 MB
% 1.57/0.62 % (3448395)Instructions burned: 24 (million)
% 1.57/0.62 % (3448393)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1530662069:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.57/0.62 % (3448396)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4043037220:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.57/0.62 % (3448397)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
% 1.57/0.62 % (3448397)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.00/0.67 % (3448400)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.00/0.67 % (3448397)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=2611302817:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.00/0.67 % (3448400)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=1897980872:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.00/0.67 % (3448393)Instruction limit reached!
% 2.00/0.67 % (3448393)------------------------------
% 2.00/0.67 % (3448393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.67 % (3448393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.67 % (3448393)CaDiCaL version: 2.1.3
% 2.00/0.67 % (3448393)Termination reason: Instruction limit
% 2.00/0.67 % (3448393)Termination phase: shuffling
% 2.00/0.67 % (3448393)Time elapsed: 0.012 s
% 2.00/0.67 % (3448393)Peak memory usage: 11 MB
% 2.00/0.67 % (3448393)Instructions burned: 26 (million)
% 2.00/0.67 % (3448400)Instruction limit reached!
% 2.00/0.67 % (3448400)------------------------------
% 2.00/0.67 % (3448400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.67 % (3448400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.67 % (3448400)CaDiCaL version: 2.1.3
% 2.00/0.67 % (3448400)Termination reason: Instruction limit
% 2.00/0.67 % (3448400)Termination phase: shuffling
% 2.00/0.67 % (3448400)Time elapsed: 0.003 s
% 2.00/0.67 % (3448400)Peak memory usage: 10 MB
% 2.00/0.67 % (3448400)Instructions burned: 12 (million)
% 2.00/0.67 % (3448397)Instruction limit reached!
% 2.00/0.67 % (3448397)------------------------------
% 2.00/0.67 % (3448397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.67 % (3448397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.67 % (3448397)CaDiCaL version: 2.1.3
% 2.00/0.67 % (3448397)Termination reason: Instruction limit
% 2.00/0.67 % (3448397)Termination phase: shuffling
% 2.00/0.67 % (3448397)Time elapsed: 0.007 s
% 2.00/0.67 % (3448397)Peak memory usage: 10 MB
% 2.00/0.67 % (3448397)Instructions burned: 15 (million)
% 2.00/0.67 % (3448405)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=446393928:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.00/0.67 % (3448405)Instruction limit reached!
% 2.00/0.67 % (3448405)------------------------------
% 2.00/0.67 % (3448405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.67 % (3448405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.67 % (3448405)CaDiCaL version: 2.1.3
% 2.00/0.67 % (3448405)Termination reason: Instruction limit
% 2.00/0.67 % (3448405)Termination phase: shuffling
% 2.00/0.67 % (3448405)Time elapsed: 0.002 s
% 2.00/0.67 % (3448405)Peak memory usage: 10 MB
% 2.00/0.67 % (3448405)Instructions burned: 9 (million)
% 2.00/0.67 % (3448404)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=3402238866:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.00/0.67 % (3448396)Instruction limit reached!
% 2.00/0.67 % (3448396)------------------------------
% 2.00/0.67 % (3448396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.67 % (3448396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.67 % (3448396)CaDiCaL version: 2.1.3
% 2.00/0.67 % (3448396)Termination reason: Instruction limit
% 2.00/0.67 % (3448396)Termination phase: Unused predicate definition removal
% 2.00/0.67 % (3448396)Time elapsed: 0.027 s
% 2.00/0.67 % (3448396)Peak memory usage: 11 MB
% 2.00/0.67 % (3448396)Instructions burned: 62 (million)
% 2.00/0.67 % (3448406)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1730732993:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.00/0.67 % (3448410)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2669444364:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.00/0.67 % (3448404)Instruction limit reached!
% 2.00/0.67 % (3448404)------------------------------
% 2.00/0.67 % (3448404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448404)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448404)Termination reason: Instruction limit
% 2.09/0.74 % (3448404)Termination phase: shuffling
% 2.09/0.74 % (3448404)Time elapsed: 0.014 s
% 2.09/0.74 % (3448404)Peak memory usage: 11 MB
% 2.09/0.74 % (3448404)Instructions burned: 31 (million)
% 2.09/0.74 % (3448406)Instruction limit reached!
% 2.09/0.74 % (3448406)------------------------------
% 2.09/0.74 % (3448406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448406)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448406)Termination reason: Instruction limit
% 2.09/0.74 % (3448406)Termination phase: shuffling
% 2.09/0.74 % (3448406)Time elapsed: 0.011 s
% 2.09/0.74 % (3448406)Peak memory usage: 11 MB
% 2.09/0.74 % (3448406)Instructions burned: 23 (million)
% 2.09/0.74 % (3448408)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=233351405:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.09/0.74 % (3448413)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3325662557:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.09/0.74 % (3448414)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3493344031:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.09/0.74 % (3448378)Instruction limit reached!
% 2.09/0.74 % (3448378)------------------------------
% 2.09/0.74 % (3448378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448378)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448378)Termination reason: Instruction limit
% 2.09/0.74 % (3448378)Termination phase: Saturation
% 2.09/0.74 % (3448378)Time elapsed: 0.103 s
% 2.09/0.74 % (3448378)Peak memory usage: 14 MB
% 2.09/0.74 % (3448378)Instructions burned: 249 (million)
% 2.09/0.74 % (3448408)Instruction limit reached!
% 2.09/0.74 % (3448408)------------------------------
% 2.09/0.74 % (3448408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448408)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448408)Termination reason: Instruction limit
% 2.09/0.74 % (3448408)Termination phase: shuffling
% 2.09/0.74 % (3448408)Time elapsed: 0.017 s
% 2.09/0.74 % (3448408)Peak memory usage: 10 MB
% 2.09/0.74 % (3448408)Instructions burned: 21 (million)
% 2.09/0.74 % (3448418)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1001081572:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.09/0.74 % (3448420)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.09/0.74 % (3448420)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1073777063:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.09/0.74 % (3448418)Instruction limit reached!
% 2.09/0.74 % (3448418)------------------------------
% 2.09/0.74 % (3448418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448418)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448418)Termination reason: Instruction limit
% 2.09/0.74 % (3448418)Termination phase: shuffling
% 2.09/0.74 % (3448418)Time elapsed: 0.019 s
% 2.09/0.74 % (3448418)Peak memory usage: 11 MB
% 2.09/0.74 % (3448418)Instructions burned: 42 (million)
% 2.09/0.74 % (3448384)Instruction limit reached!
% 2.09/0.74 % (3448384)------------------------------
% 2.09/0.74 % (3448384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.74 % (3448384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.74 % (3448384)CaDiCaL version: 2.1.3
% 2.09/0.74 % (3448384)Termination reason: Instruction limit
% 2.09/0.74 % (3448384)Termination phase: Saturation
% 2.09/0.74 % (3448384)Time elapsed: 0.137 s
% 2.09/0.74 % (3448384)Peak memory usage: 15 MB
% 2.09/0.74 % (3448384)Instructions burned: 328 (million)
% 2.09/0.74 % (3448420)Instruction limit reached!
% 2.09/0.74 % (3448420)------------------------------
% 2.40/0.83 % (3448420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448420)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448420)Termination reason: Instruction limit
% 2.40/0.83 % (3448420)Termination phase: shuffling
% 2.40/0.83 % (3448420)Time elapsed: 0.004 s
% 2.40/0.83 % (3448420)Peak memory usage: 10 MB
% 2.40/0.83 % (3448420)Instructions burned: 7 (million)
% 2.40/0.83 % (3448413)Instruction limit reached!
% 2.40/0.83 % (3448413)------------------------------
% 2.40/0.83 % (3448413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448413)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448413)Termination reason: Instruction limit
% 2.40/0.83 % (3448413)Termination phase: Function definition elimination
% 2.40/0.83 % (3448413)Time elapsed: 0.060 s
% 2.40/0.83 % (3448413)Peak memory usage: 12 MB
% 2.40/0.83 % (3448413)Instructions burned: 145 (million)
% 2.40/0.83 % (3448424)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.40/0.83 % (3448422)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1650174801:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.40/0.83 % (3448423)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=3896421634: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)
% 2.40/0.83 % (3448424)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1305692696:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.40/0.83 % (3448424)Instruction limit reached!
% 2.40/0.83 % (3448424)------------------------------
% 2.40/0.83 % (3448424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448424)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448424)Termination reason: Instruction limit
% 2.40/0.83 % (3448424)Termination phase: shuffling
% 2.40/0.83 % (3448424)Time elapsed: 0.004 s
% 2.40/0.83 % (3448424)Peak memory usage: 10 MB
% 2.40/0.83 % (3448424)Instructions burned: 8 (million)
% 2.40/0.83 % (3448425)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=588668714:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.40/0.83 % (3448414)Instruction limit reached!
% 2.40/0.83 % (3448414)------------------------------
% 2.40/0.83 % (3448414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448414)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448414)Termination reason: Instruction limit
% 2.40/0.83 % (3448414)Termination phase: Property scanning
% 2.40/0.83 % (3448414)Time elapsed: 0.080 s
% 2.40/0.83 % (3448414)Peak memory usage: 13 MB
% 2.40/0.83 % (3448414)Instructions burned: 194 (million)
% 2.40/0.83 % (3448429)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=463467259:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.40/0.83 % (3448425)Instruction limit reached!
% 2.40/0.83 % (3448425)------------------------------
% 2.40/0.83 % (3448425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448425)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448425)Termination reason: Instruction limit
% 2.40/0.83 % (3448425)Termination phase: shuffling
% 2.40/0.83 % (3448425)Time elapsed: 0.010 s
% 2.40/0.83 % (3448425)Peak memory usage: 10 MB
% 2.40/0.83 % (3448425)Instructions burned: 23 (million)
% 2.40/0.83 % (3448429)Instruction limit reached!
% 2.40/0.83 % (3448429)------------------------------
% 2.40/0.83 % (3448429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.83 % (3448429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.83 % (3448429)CaDiCaL version: 2.1.3
% 2.40/0.83 % (3448429)Termination reason: Instruction limit
% 2.40/0.83 % (3448429)Termination phase: shuffling
% 3.26/0.92 % (3448429)Time elapsed: 0.009 s
% 3.26/0.92 % (3448429)Peak memory usage: 10 MB
% 3.26/0.92 % (3448429)Instructions burned: 20 (million)
% 3.26/0.92 % (3448431)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=2046977525:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.26/0.92 % (3448433)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=2857169727:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.26/0.92 % (3448434)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=2651950716:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.26/0.92 % (3448353)Instruction limit reached!
% 3.26/0.92 % (3448353)------------------------------
% 3.26/0.92 % (3448353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.92 % (3448353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.92 % (3448353)CaDiCaL version: 2.1.3
% 3.26/0.92 % (3448353)Termination reason: Instruction limit
% 3.26/0.92 % (3448353)Termination phase: Saturation
% 3.26/0.92 % (3448353)Time elapsed: 0.312 s
% 3.26/0.92 % (3448353)Peak memory usage: 22 MB
% 3.26/0.92 % (3448353)Instructions burned: 634 (million)
% 3.26/0.92 % (3448423)Instruction limit reached!
% 3.26/0.92 % (3448423)------------------------------
% 3.26/0.92 % (3448423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.92 % (3448423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.92 % (3448423)CaDiCaL version: 2.1.3
% 3.26/0.92 % (3448423)Termination reason: Instruction limit
% 3.26/0.92 % (3448423)Termination phase: Function definition elimination
% 3.26/0.92 % (3448423)Time elapsed: 0.071 s
% 3.26/0.92 % (3448423)Peak memory usage: 12 MB
% 3.26/0.92 % (3448423)Instructions burned: 171 (million)
% 3.26/0.92 % (3448422)Instruction limit reached!
% 3.26/0.92 % (3448422)------------------------------
% 3.26/0.92 % (3448422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.92 % (3448422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.92 % (3448422)CaDiCaL version: 2.1.3
% 3.26/0.92 % (3448422)Termination reason: Instruction limit
% 3.26/0.92 % (3448422)Termination phase: Property scanning
% 3.26/0.92 % (3448422)Time elapsed: 0.075 s
% 3.26/0.92 % (3448422)Peak memory usage: 12 MB
% 3.26/0.92 % (3448422)Instructions burned: 181 (million)
% 3.26/0.92 % (3448434)Instruction limit reached!
% 3.26/0.92 % (3448434)------------------------------
% 3.26/0.92 % (3448434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.92 % (3448434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.92 % (3448434)CaDiCaL version: 2.1.3
% 3.26/0.92 % (3448434)Termination reason: Instruction limit
% 3.26/0.92 % (3448434)Termination phase: shuffling
% 3.26/0.92 % (3448434)Time elapsed: 0.021 s
% 3.26/0.92 % (3448434)Peak memory usage: 11 MB
% 3.26/0.92 % (3448434)Instructions burned: 47 (million)
% 3.26/0.92 % (3448438)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=876602950:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.26/0.92 % (3448440)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.26/0.92 % (3448439)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3922829744: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)
% 3.26/0.92 % (3448440)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2343107980:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.26/0.92 % (3448441)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1301306671:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.26/0.92 % (3448439)Instruction limit reached!
% 3.26/0.92 % (3448439)------------------------------
% 3.26/0.92 % (3448439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.92 % (3448439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448439)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448439)Termination reason: Instruction limit
% 4.85/1.10 % (3448439)Termination phase: shuffling
% 4.85/1.10 % (3448439)Time elapsed: 0.010 s
% 4.85/1.10 % (3448439)Peak memory usage: 11 MB
% 4.85/1.10 % (3448439)Instructions burned: 21 (million)
% 4.85/1.10 % (3448441)Instruction limit reached!
% 4.85/1.10 % (3448441)------------------------------
% 4.85/1.10 % (3448441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448441)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448441)Termination reason: Instruction limit
% 4.85/1.10 % (3448441)Termination phase: shuffling
% 4.85/1.10 % (3448441)Time elapsed: 0.013 s
% 4.85/1.10 % (3448441)Peak memory usage: 10 MB
% 4.85/1.10 % (3448441)Instructions burned: 14 (million)
% 4.85/1.10 % (3448446)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=3730371808:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.85/1.10 % (3448447)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1548380142:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.85/1.10 % (3448447)Instruction limit reached!
% 4.85/1.10 % (3448447)------------------------------
% 4.85/1.10 % (3448447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448447)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448447)Termination reason: Instruction limit
% 4.85/1.10 % (3448447)Termination phase: Property scanning
% 4.85/1.10 % (3448447)Time elapsed: 0.024 s
% 4.85/1.10 % (3448447)Peak memory usage: 11 MB
% 4.85/1.10 % (3448447)Instructions burned: 55 (million)
% 4.85/1.10 % (3448431)Instruction limit reached!
% 4.85/1.10 % (3448431)------------------------------
% 4.85/1.10 % (3448431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448431)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448431)Termination reason: Instruction limit
% 4.85/1.10 % (3448431)Termination phase: Saturation
% 4.85/1.10 % (3448431)Time elapsed: 0.135 s
% 4.85/1.10 % (3448431)Peak memory usage: 16 MB
% 4.85/1.10 % (3448431)Instructions burned: 317 (million)
% 4.85/1.10 % (3448440)Instruction limit reached!
% 4.85/1.10 % (3448440)------------------------------
% 4.85/1.10 % (3448440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448440)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448440)Termination reason: Instruction limit
% 4.85/1.10 % (3448440)Termination phase: Saturation
% 4.85/1.10 % (3448440)Time elapsed: 0.083 s
% 4.85/1.10 % (3448440)Peak memory usage: 14 MB
% 4.85/1.10 % (3448440)Instructions burned: 202 (million)
% 4.85/1.10 % (3448446)Instruction limit reached!
% 4.85/1.10 % (3448446)------------------------------
% 4.85/1.10 % (3448446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448446)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448446)Termination reason: Instruction limit
% 4.85/1.10 % (3448446)Termination phase: Property scanning
% 4.85/1.10 % (3448446)Time elapsed: 0.054 s
% 4.85/1.10 % (3448446)Peak memory usage: 11 MB
% 4.85/1.10 % (3448446)Instructions burned: 66 (million)
% 4.85/1.10 % (3448450)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=333081790:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.85/1.10 % (3448410)Instruction limit reached!
% 4.85/1.10 % (3448410)------------------------------
% 4.85/1.10 % (3448410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/1.10 % (3448410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.10 % (3448410)CaDiCaL version: 2.1.3
% 4.85/1.10 % (3448410)Termination reason: Instruction limit
% 4.85/1.10 % (3448410)Termination phase: Saturation
% 4.85/1.10 % (3448410)Time elapsed: 0.270 s
% 4.85/1.10 % (3448410)Peak memory usage: 18 MB
% 4.85/1.10 % (3448410)Instructions burned: 1255 (million)
% 4.85/1.10 % (3448455)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.44/1.26 % (3448451)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=23638253:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 5.44/1.26 % (3448455)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1017504177:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.44/1.26 % (3448452)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3473455140:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 5.44/1.26 % (3448450)Instruction limit reached!
% 5.44/1.26 % (3448450)------------------------------
% 5.44/1.26 % (3448450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.26 % (3448450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.26 % (3448450)CaDiCaL version: 2.1.3
% 5.44/1.26 % (3448450)Termination reason: Instruction limit
% 5.44/1.26 % (3448450)Termination phase: shuffling
% 5.44/1.26 % (3448450)Time elapsed: 0.014 s
% 5.44/1.26 % (3448450)Peak memory usage: 11 MB
% 5.44/1.26 % (3448450)Instructions burned: 31 (million)
% 5.44/1.26 % (3448454)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=790665899:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.44/1.26 % (3448452)Instruction limit reached!
% 5.44/1.26 % (3448452)------------------------------
% 5.44/1.26 % (3448452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.26 % (3448452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.26 % (3448452)CaDiCaL version: 2.1.3
% 5.44/1.26 % (3448452)Termination reason: Instruction limit
% 5.44/1.26 % (3448452)Termination phase: shuffling
% 5.44/1.26 % (3448452)Time elapsed: 0.015 s
% 5.44/1.26 % (3448452)Peak memory usage: 11 MB
% 5.44/1.26 % (3448452)Instructions burned: 35 (million)
% 5.44/1.26 % (3448459)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1553812897:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.44/1.26 % (3448454)Instruction limit reached!
% 5.44/1.26 % (3448454)------------------------------
% 5.44/1.26 % (3448454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.26 % (3448454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.26 % (3448454)CaDiCaL version: 2.1.3
% 5.44/1.26 % (3448454)Termination reason: Instruction limit
% 5.44/1.26 % (3448454)Termination phase: Property scanning
% 5.44/1.26 % (3448454)Time elapsed: 0.029 s
% 5.44/1.26 % (3448454)Peak memory usage: 11 MB
% 5.44/1.26 % (3448454)Instructions burned: 68 (million)
% 5.44/1.26 % (3448461)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2810542379:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.44/1.26 % (3448455)Instruction limit reached!
% 5.44/1.26 % (3448455)------------------------------
% 5.44/1.26 % (3448455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.26 % (3448455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.26 % (3448455)CaDiCaL version: 2.1.3
% 5.44/1.26 % (3448455)Termination reason: Instruction limit
% 5.44/1.26 % (3448455)Termination phase: Property scanning
% 5.44/1.26 % (3448455)Time elapsed: 0.055 s
% 5.44/1.26 % (3448455)Peak memory usage: 12 MB
% 5.44/1.26 % (3448455)Instructions burned: 181 (million)
% 5.44/1.26 % (3448464)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=492368936:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.44/1.26 % (3448465)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2007775563:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.44/1.26 % (3448461)Instruction limit reached!
% 5.44/1.26 % (3448461)------------------------------
% 5.44/1.26 % (3448461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.26 % (3448461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.26 % (3448461)CaDiCaL version: 2.1.3
% 5.44/1.26 % (3448461)Termination reason: Instruction limit
% 5.44/1.26 % (3448461)Termination phase: Property scanning
% 5.44/1.26 % (3448461)Time elapsed: 0.042 s
% 5.44/1.26 % (3448461)Peak memory usage: 12 MB
% 5.44/1.26 % (3448461)Instructions burned: 96 (million)
% 5.44/1.26 % (3448451)Instruction limit reached!
% 6.10/1.42 % (3448451)------------------------------
% 6.10/1.42 % (3448451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448451)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448451)Termination reason: Instruction limit
% 6.10/1.42 % (3448451)Termination phase: Function definition elimination
% 6.10/1.42 % (3448451)Time elapsed: 0.091 s
% 6.10/1.42 % (3448451)Peak memory usage: 12 MB
% 6.10/1.42 % (3448451)Instructions burned: 138 (million)
% 6.10/1.42 % (3448469)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1910876939:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 6.10/1.42 % (3448470)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1554567504:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 6.10/1.42 % (3448438)Instruction limit reached!
% 6.10/1.42 % (3448438)------------------------------
% 6.10/1.42 % (3448438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448438)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448438)Termination reason: Instruction limit
% 6.10/1.42 % (3448438)Termination phase: Saturation
% 6.10/1.42 % (3448438)Time elapsed: 0.228 s
% 6.10/1.42 % (3448438)Peak memory usage: 19 MB
% 6.10/1.42 % (3448438)Instructions burned: 482 (million)
% 6.10/1.42 % (3448473)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3665943343:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 6.10/1.42 % (3448473)Instruction limit reached!
% 6.10/1.42 % (3448473)------------------------------
% 6.10/1.42 % (3448473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448473)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448473)Termination reason: Instruction limit
% 6.10/1.42 % (3448473)Termination phase: shuffling
% 6.10/1.42 % (3448473)Time elapsed: 0.020 s
% 6.10/1.42 % (3448473)Peak memory usage: 11 MB
% 6.10/1.42 % (3448473)Instructions burned: 46 (million)
% 6.10/1.42 % (3448459)Instruction limit reached!
% 6.10/1.42 % (3448459)------------------------------
% 6.10/1.42 % (3448459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448459)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448459)Termination reason: Instruction limit
% 6.10/1.42 % (3448459)Termination phase: Saturation
% 6.10/1.42 % (3448459)Time elapsed: 0.144 s
% 6.10/1.42 % (3448459)Peak memory usage: 14 MB
% 6.10/1.42 % (3448459)Instructions burned: 246 (million)
% 6.10/1.42 % (3448470)Instruction limit reached!
% 6.10/1.42 % (3448470)------------------------------
% 6.10/1.42 % (3448470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448470)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448470)Termination reason: Instruction limit
% 6.10/1.42 % (3448470)Termination phase: Property scanning
% 6.10/1.42 % (3448470)Time elapsed: 0.075 s
% 6.10/1.42 % (3448470)Peak memory usage: 12 MB
% 6.10/1.42 % (3448470)Instructions burned: 130 (million)
% 6.10/1.42 % (3448475)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=155303288:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 6.10/1.42 % (3448476)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1396004901:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 6.10/1.42 % (3448464)Instruction limit reached!
% 6.10/1.42 % (3448464)------------------------------
% 6.10/1.42 % (3448464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.42 % (3448464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.42 % (3448464)CaDiCaL version: 2.1.3
% 6.10/1.42 % (3448464)Termination reason: Instruction limit
% 6.10/1.42 % (3448464)Termination phase: Saturation
% 6.10/1.42 % (3448464)Time elapsed: 0.194 s
% 6.10/1.42 % (3448464)Peak memory usage: 17 MB
% 6.10/1.42 % (3448464)Instructions burned: 428 (million)
% 6.10/1.42 % (3448477)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2942666376:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 6.75/1.56 % (3448481)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=200796340:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 6.75/1.56 % (3448481)Instruction limit reached!
% 6.75/1.56 % (3448481)------------------------------
% 6.75/1.56 % (3448481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.56 % (3448481)CaDiCaL version: 2.1.3
% 6.75/1.56 % (3448481)Termination reason: Instruction limit
% 6.75/1.56 % (3448481)Termination phase: Property scanning
% 6.75/1.56 % (3448481)Time elapsed: 0.029 s
% 6.75/1.56 % (3448481)Peak memory usage: 11 MB
% 6.75/1.56 % (3448481)Instructions burned: 66 (million)
% 6.75/1.56 % (3448484)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3020675142:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 6.75/1.56 % (3448433)Instruction limit reached!
% 6.75/1.56 % (3448433)------------------------------
% 6.75/1.56 % (3448433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.56 % (3448433)CaDiCaL version: 2.1.3
% 6.75/1.56 % (3448433)Termination reason: Instruction limit
% 6.75/1.56 % (3448433)Termination phase: Saturation
% 6.75/1.56 % (3448433)Time elapsed: 0.473 s
% 6.75/1.56 % (3448433)Peak memory usage: 24 MB
% 6.75/1.56 % (3448433)Instructions burned: 853 (million)
% 6.75/1.56 % (3448486)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3822340382:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 6.75/1.56 % (3448477)Instruction limit reached!
% 6.75/1.56 % (3448477)------------------------------
% 6.75/1.56 % (3448477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.56 % (3448477)CaDiCaL version: 2.1.3
% 6.75/1.56 % (3448477)Termination reason: Instruction limit
% 6.75/1.56 % (3448477)Termination phase: Preprocessing 3
% 6.75/1.56 % (3448477)Time elapsed: 0.100 s
% 6.75/1.56 % (3448477)Peak memory usage: 12 MB
% 6.75/1.56 % (3448477)Instructions burned: 95 (million)
% 6.75/1.56 % (3448484)Instruction limit reached!
% 6.75/1.56 % (3448484)------------------------------
% 6.75/1.56 % (3448484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.56 % (3448484)CaDiCaL version: 2.1.3
% 6.75/1.56 % (3448484)Termination reason: Instruction limit
% 6.75/1.56 % (3448484)Termination phase: SInE selection
% 6.75/1.56 % (3448484)Time elapsed: 0.045 s
% 6.75/1.56 % (3448484)Peak memory usage: 11 MB
% 6.75/1.56 % (3448484)Instructions burned: 106 (million)
% 6.75/1.56 % (3448489)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2907861591:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.75/1.56 % (3448465)Instruction limit reached!
% 6.75/1.56 % (3448465)------------------------------
% 6.75/1.56 % (3448465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.56 % (3448465)CaDiCaL version: 2.1.3
% 6.75/1.56 % (3448465)Termination reason: Instruction limit
% 6.75/1.56 % (3448465)Termination phase: Saturation
% 6.75/1.56 % (3448465)Time elapsed: 0.324 s
% 6.75/1.56 % (3448465)Peak memory usage: 19 MB
% 6.75/1.56 % (3448465)Instructions burned: 874 (million)
% 6.75/1.56 % (3448488)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1848906683:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.75/1.56 % (3448469)Instruction limit reached!
% 6.75/1.56 % (3448469)------------------------------
% 6.75/1.56 % (3448469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.56 % (3448469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448469)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448469)Termination reason: Instruction limit
% 7.79/1.78 % (3448469)Termination phase: Saturation
% 7.79/1.78 % (3448469)Time elapsed: 0.324 s
% 7.79/1.78 % (3448469)Peak memory usage: 17 MB
% 7.79/1.78 % (3448469)Instructions burned: 517 (million)
% 7.79/1.78 % (3448491)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=4292825615:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.79/1.78 % (3448493)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3944530802:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 7.79/1.78 % (3448491)Instruction limit reached!
% 7.79/1.78 % (3448491)------------------------------
% 7.79/1.78 % (3448491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.78 % (3448491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448491)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448491)Termination reason: Instruction limit
% 7.79/1.78 % (3448491)Termination phase: shuffling
% 7.79/1.78 % (3448491)Time elapsed: 0.026 s
% 7.79/1.78 % (3448491)Peak memory usage: 11 MB
% 7.79/1.78 % (3448491)Instructions burned: 34 (million)
% 7.79/1.78 % (3448496)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2375315778:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 7.79/1.78 % (3448493)Instruction limit reached!
% 7.79/1.78 % (3448493)------------------------------
% 7.79/1.78 % (3448493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.78 % (3448493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448493)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448493)Termination reason: Instruction limit
% 7.79/1.78 % (3448493)Termination phase: SInE selection
% 7.79/1.78 % (3448493)Time elapsed: 0.056 s
% 7.79/1.78 % (3448493)Peak memory usage: 12 MB
% 7.79/1.78 % (3448493)Instructions burned: 93 (million)
% 7.79/1.78 % (3448496)Instruction limit reached!
% 7.79/1.78 % (3448496)------------------------------
% 7.79/1.78 % (3448496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.78 % (3448496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448496)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448496)Termination reason: Instruction limit
% 7.79/1.78 % (3448496)Termination phase: SInE selection
% 7.79/1.78 % (3448496)Time elapsed: 0.029 s
% 7.79/1.78 % (3448496)Peak memory usage: 11 MB
% 7.79/1.78 % (3448496)Instructions burned: 67 (million)
% 7.79/1.78 % (3448498)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3796240633:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 7.79/1.78 % (3448498)Instruction limit reached!
% 7.79/1.78 % (3448498)------------------------------
% 7.79/1.78 % (3448498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.78 % (3448498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448498)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448498)Termination reason: Instruction limit
% 7.79/1.78 % (3448498)Termination phase: shuffling
% 7.79/1.78 % (3448498)Time elapsed: 0.011 s
% 7.79/1.78 % (3448498)Peak memory usage: 11 MB
% 7.79/1.78 % (3448498)Instructions burned: 23 (million)
% 7.79/1.78 % (3448499)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2984906214:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 7.79/1.78 % (3448501)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2779238974:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 7.79/1.78 % (3448501)Instruction limit reached!
% 7.79/1.78 % (3448501)------------------------------
% 7.79/1.78 % (3448501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.78 % (3448501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.78 % (3448501)CaDiCaL version: 2.1.3
% 7.79/1.78 % (3448501)Termination reason: Instruction limit
% 7.79/1.78 % (3448501)Termination phase: shuffling
% 7.79/1.78 % (3448501)Time elapsed: 0.015 s
% 7.79/1.78 % (3448501)Peak memory usage: 11 MB
% 7.79/1.78 % (3448501)Instructions burned: 29 (million)
% 7.79/1.78 % (3448476)Instruction limit reached!
% 9.08/1.90 % (3448476)------------------------------
% 9.08/1.90 % (3448476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.90 % (3448476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.90 % (3448476)CaDiCaL version: 2.1.3
% 9.08/1.90 % (3448476)Termination reason: Instruction limit
% 9.08/1.90 % (3448476)Termination phase: Saturation
% 9.08/1.90 % (3448476)Time elapsed: 0.366 s
% 9.08/1.90 % (3448476)Peak memory usage: 17 MB
% 9.08/1.90 % (3448476)Instructions burned: 451 (million)
% 9.08/1.90 % (3448475)Instruction limit reached!
% 9.08/1.90 % (3448475)------------------------------
% 9.08/1.90 % (3448475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.90 % (3448475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.90 % (3448475)CaDiCaL version: 2.1.3
% 9.08/1.90 % (3448475)Termination reason: Instruction limit
% 9.08/1.90 % (3448475)Termination phase: Saturation
% 9.08/1.90 % (3448475)Time elapsed: 0.397 s
% 9.08/1.90 % (3448475)Peak memory usage: 20 MB
% 9.08/1.90 % (3448475)Instructions burned: 572 (million)
% 9.08/1.90 % (3448488)Instruction limit reached!
% 9.08/1.90 % (3448488)------------------------------
% 9.08/1.90 % (3448488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.90 % (3448488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.90 % (3448488)CaDiCaL version: 2.1.3
% 9.08/1.90 % (3448488)Termination reason: Instruction limit
% 9.08/1.90 % (3448488)Termination phase: Saturation
% 9.08/1.90 % (3448488)Time elapsed: 0.199 s
% 9.08/1.90 % (3448488)Peak memory usage: 16 MB
% 9.08/1.90 % (3448488)Instructions burned: 376 (million)
% 9.08/1.90 % (3448504)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 9.08/1.90 % (3448507)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 9.08/1.90 % (3448507)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3099604285:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 9.08/1.90 % (3448505)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=1840789065:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 9.08/1.90 % (3448506)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2829539181:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 9.08/1.90 % (3448504)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3007608038:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 9.08/1.90 % (3448499)Instruction limit reached!
% 9.08/1.90 % (3448499)------------------------------
% 9.08/1.90 % (3448499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.90 % (3448499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.90 % (3448499)CaDiCaL version: 2.1.3
% 9.08/1.90 % (3448499)Termination reason: Instruction limit
% 9.08/1.90 % (3448499)Termination phase: Saturation
% 9.08/1.90 % (3448499)Time elapsed: 0.157 s
% 9.08/1.90 % (3448499)Peak memory usage: 19 MB
% 9.08/1.90 % (3448499)Instructions burned: 339 (million)
% 9.08/1.90 % (3448504)Instruction limit reached!
% 9.08/1.90 % (3448504)------------------------------
% 9.08/1.90 % (3448504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.90 % (3448504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.90 % (3448504)CaDiCaL version: 2.1.3
% 9.08/1.90 % (3448504)Termination reason: Instruction limit
% 9.08/1.90 % (3448504)Termination phase: Property scanning
% 9.08/1.90 % (3448504)Time elapsed: 0.085 s
% 9.08/1.90 % (3448504)Peak memory usage: 11 MB
% 9.08/1.90 % (3448504)Instructions burned: 137 (million)
% 9.08/1.90 % (3448512)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2528756992:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.08/1.90 % (3448513)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1942472436:i=575:rtra=on_2987 on theBenchmark for (2987ds/575Mi)
% 9.08/1.90 % (3448489)Instruction limit reached!
% 9.08/1.90 % (3448489)------------------------------
% 12.11/2.21 % (3448489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.21 % (3448489)CaDiCaL version: 2.1.3
% 12.11/2.21 % (3448489)Termination reason: Instruction limit
% 12.11/2.21 % (3448489)Termination phase: Saturation
% 12.11/2.21 % (3448489)Time elapsed: 0.341 s
% 12.11/2.21 % (3448489)Peak memory usage: 18 MB
% 12.11/2.21 % (3448489)Instructions burned: 495 (million)
% 12.11/2.21 % (3448506)Instruction limit reached!
% 12.11/2.21 % (3448506)------------------------------
% 12.11/2.21 % (3448506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.21 % (3448506)CaDiCaL version: 2.1.3
% 12.11/2.21 % (3448506)Termination reason: Instruction limit
% 12.11/2.21 % (3448506)Termination phase: Saturation
% 12.11/2.21 % (3448506)Time elapsed: 0.139 s
% 12.11/2.21 % (3448506)Peak memory usage: 14 MB
% 12.11/2.21 % (3448506)Instructions burned: 228 (million)
% 12.11/2.21 % (3448516)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3278083881:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 12.11/2.21 % (3448507)Instruction limit reached!
% 12.11/2.21 % (3448507)------------------------------
% 12.11/2.21 % (3448507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.21 % (3448507)CaDiCaL version: 2.1.3
% 12.11/2.21 % (3448507)Termination reason: Instruction limit
% 12.11/2.21 % (3448507)Termination phase: Saturation
% 12.11/2.21 % (3448507)Time elapsed: 0.160 s
% 12.11/2.21 % (3448507)Peak memory usage: 14 MB
% 12.11/2.21 % (3448507)Instructions burned: 375 (million)
% 12.11/2.21 % (3448517)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=917499309:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/9840Mi)
% 12.11/2.21 % (3448512)Instruction limit reached!
% 12.11/2.21 % (3448512)------------------------------
% 12.11/2.21 % (3448512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.21 % (3448512)CaDiCaL version: 2.1.3
% 12.11/2.21 % (3448512)Termination reason: Instruction limit
% 12.11/2.21 % (3448512)Termination phase: Preprocessing 3
% 12.11/2.21 % (3448512)Time elapsed: 0.061 s
% 12.11/2.21 % (3448512)Peak memory usage: 13 MB
% 12.11/2.21 % (3448512)Instructions burned: 116 (million)
% 12.11/2.21 % (3448521)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 12.11/2.21 % (3448519)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1750113971:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 12.11/2.21 % (3448521)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=911390585:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 12.11/2.21 % (3448505)Instruction limit reached!
% 12.11/2.21 % (3448505)------------------------------
% 12.11/2.21 % (3448505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.21 % (3448505)CaDiCaL version: 2.1.3
% 12.11/2.21 % (3448505)Termination reason: Instruction limit
% 12.11/2.21 % (3448505)Termination phase: Saturation
% 12.11/2.21 % (3448505)Time elapsed: 0.266 s
% 12.11/2.21 % (3448505)Peak memory usage: 15 MB
% 12.11/2.21 % (3448505)Instructions burned: 340 (million)
% 12.11/2.21 % (3448524)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=171401842:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/31Mi)
% 12.11/2.21 % (3448521)Instruction limit reached!
% 12.11/2.21 % (3448521)------------------------------
% 12.11/2.21 % (3448521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.11/2.21 % (3448521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448521)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448521)Termination reason: Instruction limit
% 13.94/2.56 % (3448521)Termination phase: Saturation
% 13.94/2.56 % (3448521)Time elapsed: 0.140 s
% 13.94/2.56 % (3448521)Peak memory usage: 15 MB
% 13.94/2.56 % (3448521)Instructions burned: 272 (million)
% 13.94/2.56 % (3448513)Instruction limit reached!
% 13.94/2.56 % (3448513)------------------------------
% 13.94/2.56 % (3448513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.56 % (3448513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448513)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448513)Termination reason: Instruction limit
% 13.94/2.56 % (3448513)Termination phase: Saturation
% 13.94/2.56 % (3448513)Time elapsed: 0.232 s
% 13.94/2.56 % (3448513)Peak memory usage: 18 MB
% 13.94/2.56 % (3448513)Instructions burned: 576 (million)
% 13.94/2.56 % (3448524)Instruction limit reached!
% 13.94/2.56 % (3448524)------------------------------
% 13.94/2.56 % (3448524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.56 % (3448524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448524)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448524)Termination reason: Instruction limit
% 13.94/2.56 % (3448524)Termination phase: shuffling
% 13.94/2.56 % (3448524)Time elapsed: 0.031 s
% 13.94/2.56 % (3448524)Peak memory usage: 11 MB
% 13.94/2.56 % (3448524)Instructions burned: 31 (million)
% 13.94/2.56 % (3448526)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 13.94/2.56 % (3448526)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
% 13.94/2.56 % (3448526)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=2144323251:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2985 on theBenchmark for (2985ds/1440Mi)
% 13.94/2.56 % (3448516)Instruction limit reached!
% 13.94/2.56 % (3448516)------------------------------
% 13.94/2.56 % (3448516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.56 % (3448516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448516)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448516)Termination reason: Instruction limit
% 13.94/2.56 % (3448516)Termination phase: Saturation
% 13.94/2.56 % (3448516)Time elapsed: 0.205 s
% 13.94/2.56 % (3448516)Peak memory usage: 13 MB
% 13.94/2.56 % (3448516)Instructions burned: 270 (million)
% 13.94/2.56 % (3448527)dis+10_2_sil=128000:si=on:random_seed=4090539324:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2985 on theBenchmark for (2985ds/339Mi)
% 13.94/2.56 % (3448530)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=4022385348:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/122Mi)
% 13.94/2.56 % (3448528)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1108844084:i=111:add=on:fgj=on:rtra=on:fdi=1024_2985 on theBenchmark for (2985ds/111Mi)
% 13.94/2.56 % (3448519)Instruction limit reached!
% 13.94/2.56 % (3448519)------------------------------
% 13.94/2.56 % (3448519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.56 % (3448519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448519)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448519)Termination reason: Instruction limit
% 13.94/2.56 % (3448519)Termination phase: Saturation
% 13.94/2.56 % (3448519)Time elapsed: 0.231 s
% 13.94/2.56 % (3448519)Peak memory usage: 17 MB
% 13.94/2.56 % (3448519)Instructions burned: 421 (million)
% 13.94/2.56 % (3448530)Instruction limit reached!
% 13.94/2.56 % (3448530)------------------------------
% 13.94/2.56 % (3448530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.56 % (3448530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.56 % (3448530)CaDiCaL version: 2.1.3
% 13.94/2.56 % (3448530)Termination reason: Instruction limit
% 13.94/2.56 % (3448530)Termination phase: Preprocessing 3
% 13.94/2.56 % (3448530)Time elapsed: 0.051 s
% 13.94/2.56 % (3448530)Peak memory usage: 12 MB
% 13.94/2.56 % (3448530)Instructions burned: 124 (million)
% 13.94/2.56 % (3448534)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=3409010860:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/136Mi)
% 15.85/2.83 % (3448528)Instruction limit reached!
% 15.85/2.83 % (3448528)------------------------------
% 15.85/2.83 % (3448528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.83 % (3448528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.83 % (3448528)CaDiCaL version: 2.1.3
% 15.85/2.83 % (3448528)Termination reason: Instruction limit
% 15.85/2.83 % (3448528)Termination phase: Property scanning
% 15.85/2.83 % (3448528)Time elapsed: 0.084 s
% 15.85/2.83 % (3448528)Peak memory usage: 12 MB
% 15.85/2.83 % (3448528)Instructions burned: 111 (million)
% 15.85/2.83 % (3448535)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2265000797:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/232Mi)
% 15.85/2.83 % (3448537)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2857080622:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2984 on theBenchmark for (2984ds/1254Mi)
% 15.85/2.83 % (3448534)Instruction limit reached!
% 15.85/2.83 % (3448534)------------------------------
% 15.85/2.83 % (3448534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.83 % (3448534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.83 % (3448534)CaDiCaL version: 2.1.3
% 15.85/2.83 % (3448534)Termination reason: Instruction limit
% 15.85/2.83 % (3448534)Termination phase: Function definition elimination
% 15.85/2.83 % (3448534)Time elapsed: 0.113 s
% 15.85/2.83 % (3448534)Peak memory usage: 12 MB
% 15.85/2.83 % (3448534)Instructions burned: 137 (million)
% 15.85/2.83 % (3448527)Instruction limit reached!
% 15.85/2.83 % (3448527)------------------------------
% 15.85/2.83 % (3448527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.83 % (3448527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.83 % (3448527)CaDiCaL version: 2.1.3
% 15.85/2.83 % (3448527)Termination reason: Instruction limit
% 15.85/2.83 % (3448527)Termination phase: Saturation
% 15.85/2.83 % (3448527)Time elapsed: 0.227 s
% 15.85/2.83 % (3448527)Peak memory usage: 15 MB
% 15.85/2.83 % (3448527)Instructions burned: 340 (million)
% 15.85/2.83 % (3448540)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.85/2.83 % (3448540)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3445433534:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2983 on theBenchmark for (2983ds/281Mi)
% 15.85/2.83 % (3448541)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=493691651:i=619:add=on:rtra=on_2982 on theBenchmark for (2982ds/619Mi)
% 15.85/2.83 % (3448535)Instruction limit reached!
% 15.85/2.83 % (3448535)------------------------------
% 15.85/2.83 % (3448535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.83 % (3448535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.83 % (3448535)CaDiCaL version: 2.1.3
% 15.85/2.83 % (3448535)Termination reason: Instruction limit
% 15.85/2.83 % (3448535)Termination phase: Property scanning
% 15.85/2.83 % (3448535)Time elapsed: 0.161 s
% 15.85/2.83 % (3448535)Peak memory usage: 15 MB
% 15.85/2.83 % (3448535)Instructions burned: 233 (million)
% 15.85/2.83 % (3448544)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=3097148003:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/865Mi)
% 15.85/2.83 % (3448540)Instruction limit reached!
% 15.85/2.83 % (3448540)------------------------------
% 15.85/2.83 % (3448540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.85/2.83 % (3448540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/2.83 % (3448540)CaDiCaL version: 2.1.3
% 15.85/2.83 % (3448540)Termination reason: Instruction limit
% 15.85/2.83 % (3448540)Termination phase: Saturation
% 15.85/2.83 % (3448540)Time elapsed: 0.128 s
% 15.85/2.83 % (3448540)Peak memory usage: 13 MB
% 15.85/2.83 % (3448540)Instructions burned: 283 (million)
% 15.85/2.83 % (3448546)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2463282838:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/212Mi)
% 18.02/3.05 % (3448546)Instruction limit reached!
% 18.02/3.05 % (3448546)------------------------------
% 18.02/3.05 % (3448546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448546)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448546)Termination reason: Instruction limit
% 18.02/3.05 % (3448546)Termination phase: Saturation
% 18.02/3.05 % (3448546)Time elapsed: 0.089 s
% 18.02/3.05 % (3448546)Peak memory usage: 14 MB
% 18.02/3.05 % (3448546)Instructions burned: 212 (million)
% 18.02/3.05 % (3448548)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=665997588:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/130Mi)
% 18.02/3.05 % (3448548)Instruction limit reached!
% 18.02/3.05 % (3448548)------------------------------
% 18.02/3.05 % (3448548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448548)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448548)Termination reason: Instruction limit
% 18.02/3.05 % (3448548)Termination phase: Property scanning
% 18.02/3.05 % (3448548)Time elapsed: 0.055 s
% 18.02/3.05 % (3448548)Peak memory usage: 12 MB
% 18.02/3.05 % (3448548)Instructions burned: 130 (million)
% 18.02/3.05 % (3448550)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1686928732:st=1.5:i=346:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/346Mi)
% 18.02/3.05 % (3448526)Instruction limit reached!
% 18.02/3.05 % (3448526)------------------------------
% 18.02/3.05 % (3448526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448526)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448526)Termination reason: Instruction limit
% 18.02/3.05 % (3448526)Termination phase: Saturation
% 18.02/3.05 % (3448526)Time elapsed: 0.598 s
% 18.02/3.05 % (3448526)Peak memory usage: 28 MB
% 18.02/3.05 % (3448526)Instructions burned: 1442 (million)
% 18.02/3.05 % (3448552)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2789931255:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2979 on theBenchmark for (2979ds/152Mi)
% 18.02/3.05 % (3448544)Instruction limit reached!
% 18.02/3.05 % (3448544)------------------------------
% 18.02/3.05 % (3448544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448544)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448544)Termination reason: Instruction limit
% 18.02/3.05 % (3448544)Termination phase: Saturation
% 18.02/3.05 % (3448544)Time elapsed: 0.389 s
% 18.02/3.05 % (3448544)Peak memory usage: 22 MB
% 18.02/3.05 % (3448544)Instructions burned: 866 (million)
% 18.02/3.05 % (3448552)Instruction limit reached!
% 18.02/3.05 % (3448552)------------------------------
% 18.02/3.05 % (3448552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448552)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448552)Termination reason: Instruction limit
% 18.02/3.05 % (3448552)Termination phase: Property scanning
% 18.02/3.05 % (3448552)Time elapsed: 0.064 s
% 18.02/3.05 % (3448552)Peak memory usage: 12 MB
% 18.02/3.05 % (3448552)Instructions burned: 153 (million)
% 18.02/3.05 % (3448554)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=591461066:i=75:ep=R:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/75Mi)
% 18.02/3.05 % (3448555)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2199119255:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/387Mi)
% 18.02/3.05 % (3448550)Instruction limit reached!
% 18.02/3.05 % (3448550)------------------------------
% 18.02/3.05 % (3448550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.05 % (3448550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.05 % (3448550)CaDiCaL version: 2.1.3
% 18.02/3.05 % (3448550)Termination reason: Instruction limit
% 18.02/3.05 % (3448550)Termination phase: Saturation
% 18.02/3.05 % (3448550)Time elapsed: 0.147 s
% 18.02/3.05 % (3448550)Peak memory usage: 15 MB
% 18.02/3.05 % (3448550)Instructions burned: 352 (million)
% 18.02/3.05 % (3448541)Instruction limit reached!
% 19.78/3.38 % (3448541)------------------------------
% 19.78/3.38 % (3448541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.38 % (3448541)CaDiCaL version: 2.1.3
% 19.78/3.38 % (3448541)Termination reason: Instruction limit
% 19.78/3.38 % (3448541)Termination phase: Saturation
% 19.78/3.38 % (3448541)Time elapsed: 0.469 s
% 19.78/3.38 % (3448541)Peak memory usage: 17 MB
% 19.78/3.38 % (3448541)Instructions burned: 620 (million)
% 19.78/3.38 % (3448554)Instruction limit reached!
% 19.78/3.38 % (3448554)------------------------------
% 19.78/3.38 % (3448554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.38 % (3448554)CaDiCaL version: 2.1.3
% 19.78/3.38 % (3448554)Termination reason: Instruction limit
% 19.78/3.38 % (3448554)Termination phase: Property scanning
% 19.78/3.38 % (3448554)Time elapsed: 0.034 s
% 19.78/3.38 % (3448554)Peak memory usage: 11 MB
% 19.78/3.38 % (3448554)Instructions burned: 77 (million)
% 19.78/3.38 % (3448560)lrs+10_1_sil=128000:si=on:random_seed=3585447810:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/888Mi)
% 19.78/3.38 % (3448558)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=1131554248:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2977 on theBenchmark for (2977ds/148Mi)
% 19.78/3.38 % (3448559)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4046629364:i=161:piset=and:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/161Mi)
% 19.78/3.38 % (3448558)Instruction limit reached!
% 19.78/3.38 % (3448558)------------------------------
% 19.78/3.38 % (3448558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.38 % (3448558)CaDiCaL version: 2.1.3
% 19.78/3.38 % (3448558)Termination reason: Instruction limit
% 19.78/3.38 % (3448558)Termination phase: Saturation
% 19.78/3.38 % (3448558)Time elapsed: 0.122 s
% 19.78/3.38 % (3448558)Peak memory usage: 12 MB
% 19.78/3.38 % (3448558)Instructions burned: 149 (million)
% 19.78/3.38 % (3448559)Instruction limit reached!
% 19.78/3.38 % (3448559)------------------------------
% 19.78/3.38 % (3448559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.38 % (3448559)CaDiCaL version: 2.1.3
% 19.78/3.38 % (3448559)Termination reason: Instruction limit
% 19.78/3.38 % (3448559)Termination phase: Property scanning
% 19.78/3.38 % (3448559)Time elapsed: 0.129 s
% 19.78/3.38 % (3448559)Peak memory usage: 12 MB
% 19.78/3.38 % (3448559)Instructions burned: 163 (million)
% 19.78/3.38 % (3448565)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=3829219021:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 19.78/3.38 % (3448564)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2510477336:i=136:add=on:ins=4:rtra=on:sup=off_2976 on theBenchmark for (2976ds/136Mi)
% 19.78/3.38 % (3448565)Instruction limit reached!
% 19.78/3.38 % (3448565)------------------------------
% 19.78/3.38 % (3448565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.38 % (3448565)CaDiCaL version: 2.1.3
% 19.78/3.38 % (3448565)Termination reason: Instruction limit
% 19.78/3.38 % (3448565)Termination phase: Property scanning
% 19.78/3.38 % (3448565)Time elapsed: 0.038 s
% 19.78/3.38 % (3448565)Peak memory usage: 11 MB
% 19.78/3.38 % (3448565)Instructions burned: 89 (million)
% 19.78/3.38 % (3448568)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3597704402:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/93Mi)
% 19.78/3.38 % (3448555)Instruction limit reached!
% 19.78/3.38 % (3448555)------------------------------
% 19.78/3.38 % (3448555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.38 % (3448555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448555)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448555)Termination reason: Instruction limit
% 20.24/3.42 % (3448555)Termination phase: Saturation
% 20.24/3.42 % (3448555)Time elapsed: 0.295 s
% 20.24/3.42 % (3448555)Peak memory usage: 16 MB
% 20.24/3.42 % (3448555)Instructions burned: 388 (million)
% 20.24/3.42 % (3448568)Instruction limit reached!
% 20.24/3.42 % (3448568)------------------------------
% 20.24/3.42 % (3448568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448568)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448568)Termination reason: Instruction limit
% 20.24/3.42 % (3448568)Termination phase: SInE selection
% 20.24/3.42 % (3448568)Time elapsed: 0.046 s
% 20.24/3.42 % (3448568)Peak memory usage: 12 MB
% 20.24/3.42 % (3448568)Instructions burned: 95 (million)
% 20.24/3.42 % (3448564)Instruction limit reached!
% 20.24/3.42 % (3448564)------------------------------
% 20.24/3.42 % (3448564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448564)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448564)Termination reason: Instruction limit
% 20.24/3.42 % (3448564)Termination phase: Function definition elimination
% 20.24/3.42 % (3448564)Time elapsed: 0.107 s
% 20.24/3.42 % (3448564)Peak memory usage: 12 MB
% 20.24/3.42 % (3448564)Instructions burned: 136 (million)
% 20.24/3.42 % (3448537)Instruction limit reached!
% 20.24/3.42 % (3448537)------------------------------
% 20.24/3.42 % (3448537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448537)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448537)Termination reason: Instruction limit
% 20.24/3.42 % (3448537)Termination phase: Saturation
% 20.24/3.42 % (3448537)Time elapsed: 0.914 s
% 20.24/3.42 % (3448537)Peak memory usage: 22 MB
% 20.24/3.42 % (3448537)Instructions burned: 1254 (million)
% 20.24/3.42 % (3448570)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2831296967:i=2186:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/2186Mi)
% 20.24/3.42 % (3448573)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 20.24/3.42 % (3448571)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2556474300:s2a=on:i=240:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/240Mi)
% 20.24/3.42 % (3448573)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=823565483:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2974 on theBenchmark for (2974ds/391Mi)
% 20.24/3.42 % (3448572)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3828324403:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/805Mi)
% 20.24/3.42 % (3448560)Instruction limit reached!
% 20.24/3.42 % (3448560)------------------------------
% 20.24/3.42 % (3448560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448560)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448560)Termination reason: Instruction limit
% 20.24/3.42 % (3448560)Termination phase: Saturation
% 20.24/3.42 % (3448560)Time elapsed: 0.389 s
% 20.24/3.42 % (3448560)Peak memory usage: 19 MB
% 20.24/3.42 % (3448560)Instructions burned: 889 (million)
% 20.24/3.42 % (3448578)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2143138804:i=355:av=off:fsr=off:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/355Mi)
% 20.24/3.42 % (3448571)Instruction limit reached!
% 20.24/3.42 % (3448571)------------------------------
% 20.24/3.42 % (3448571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448571)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448571)Termination reason: Instruction limit
% 20.24/3.42 % (3448571)Termination phase: Property scanning
% 20.24/3.42 % (3448571)Time elapsed: 0.143 s
% 20.24/3.42 % (3448571)Peak memory usage: 15 MB
% 20.24/3.42 % (3448571)Instructions burned: 240 (million)
% 20.24/3.42 % (3448580)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1800780088:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/314Mi)
% 20.24/3.42 % (3448573)Instruction limit reached!
% 20.24/3.42 % (3448573)------------------------------
% 20.24/3.42 % (3448573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448573)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448573)Termination reason: Instruction limit
% 20.24/3.42 % (3448573)Termination phase: Saturation
% 20.24/3.42 % (3448573)Time elapsed: 0.175 s
% 20.24/3.42 % (3448573)Peak memory usage: 15 MB
% 20.24/3.42 % (3448573)Instructions burned: 391 (million)
% 20.24/3.42 % (3448582)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2260880990:s2a=on:i=251:fsr=off:rtra=on_2972 on theBenchmark for (2972ds/251Mi)
% 20.24/3.42 % (3448580)Instruction limit reached!
% 20.24/3.42 % (3448580)------------------------------
% 20.24/3.42 % (3448580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448580)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448580)Termination reason: Instruction limit
% 20.24/3.42 % (3448580)Termination phase: Saturation
% 20.24/3.42 % (3448580)Time elapsed: 0.158 s
% 20.24/3.42 % (3448580)Peak memory usage: 15 MB
% 20.24/3.42 % (3448580)Instructions burned: 314 (million)
% 20.24/3.42 % (3448588)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1291334739:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2971 on theBenchmark for (2971ds/2470Mi)
% 20.24/3.42 % (3448582)Instruction limit reached!
% 20.24/3.42 % (3448582)------------------------------
% 20.24/3.42 % (3448582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448582)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448582)Termination reason: Instruction limit
% 20.24/3.42 % (3448582)Termination phase: Property scanning
% 20.24/3.42 % (3448582)Time elapsed: 0.155 s
% 20.24/3.42 % (3448582)Peak memory usage: 15 MB
% 20.24/3.42 % (3448582)Instructions burned: 251 (million)
% 20.24/3.42 % (3448590)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2539238876:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2970 on theBenchmark for (2970ds/673Mi)
% 20.24/3.42 % (3448578)Instruction limit reached!
% 20.24/3.42 % (3448578)------------------------------
% 20.24/3.42 % (3448578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448578)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448578)Termination reason: Instruction limit
% 20.24/3.42 % (3448578)Termination phase: Saturation
% 20.24/3.42 % (3448578)Time elapsed: 0.274 s
% 20.24/3.42 % (3448578)Peak memory usage: 15 MB
% 20.24/3.42 % (3448578)Instructions burned: 355 (million)
% 20.24/3.42 % (3448592)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3062702338:i=116:ep=RSTC:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/116Mi)
% 20.24/3.42 % (3448592)Instruction limit reached!
% 20.24/3.42 % (3448592)------------------------------
% 20.24/3.42 % (3448592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448592)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448592)Termination reason: Instruction limit
% 20.24/3.42 % (3448592)Termination phase: Preprocessing 3
% 20.24/3.42 % (3448592)Time elapsed: 0.048 s
% 20.24/3.42 % (3448592)Peak memory usage: 13 MB
% 20.24/3.42 % (3448592)Instructions burned: 118 (million)
% 20.24/3.42 % (3448572)Instruction limit reached!
% 20.24/3.42 % (3448572)------------------------------
% 20.24/3.42 % (3448572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448572)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448572)Termination reason: Instruction limit
% 20.24/3.42 % (3448572)Termination phase: Saturation
% 20.24/3.42 % (3448572)Time elapsed: 0.463 s
% 20.24/3.42 % (3448572)Peak memory usage: 19 MB
% 20.24/3.42 % (3448572)Instructions burned: 805 (million)
% 20.24/3.42 % (3448595)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=859965456:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2969 on theBenchmark for (2969ds/30Mi)
% 20.24/3.42 % (3448594)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1640678801:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2969 on theBenchmark for (2969ds/270Mi)
% 20.24/3.42 % (3448595)Instruction limit reached!
% 20.24/3.42 % (3448595)------------------------------
% 20.24/3.42 % (3448595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.42 % (3448595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.42 % (3448595)CaDiCaL version: 2.1.3
% 20.24/3.42 % (3448595)Termination reason: Instruction limit
% 20.24/3.42 % (3448595)Termination phase: shuffling
% 20.24/3.42 % (3448595)Time elapsed: 0.013 s
% 20.24/3.42 % (3448595)Peak memory usage: 10 MB
% 20.24/3.42 % (3448595)Instructions burned: 31 (million)
% 20.24/3.42 % (3448486) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3448345-3448486"...
% 20.24/3.42 % (3448517) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3448345-3448517"...
% 20.24/3.42 % (3448486)...printing done.
% 20.24/3.42 % (3448486)Refutation found. Thanks to Tanya!
% 20.24/3.42 % SZS status Theorem for theBenchmark
% 20.24/3.42 % SZS output start Proof for theBenchmark
% See solution above
% 20.24/3.43 % (3448486)------------------------------
% 20.24/3.43 % (3448486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.24/3.43 % (3448486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.43 % (3448486)CaDiCaL version: 2.1.3
% 20.24/3.43 % (3448486)Termination reason: Refutation
% 20.24/3.43 % (3448486)Time elapsed: 2.228 s
% 20.24/3.43 % (3448486)Peak memory usage: 43 MB
% 20.24/3.43 % (3448486)Instructions burned: 4064 (million)
% 20.24/3.43 % (3448345)Success in time 3.101 s
% 20.24/3.43 % Vampire exiting
%------------------------------------------------------------------------------