%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU778^1 : 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 : n006.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 08:31:18 AM UTC 2026
% Result : Theorem 5.51s 1.16s
% Output : Refutation 5.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 5500 (1522 equ; 0 cnn)
% Maximal formula atoms : 297 ( 161 avg)
% Number of connectives : 2732 ( 18 ~; 8 |;1199 &; 318 @)
% ( 1 <=>;1184 =>; 0 <=; 0 <~>)
% Maximal formula depth : 305 ( 73 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 599 ( 595 usr; 327 con; 0-4 aty)
% ( 0 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 145 ( 86 ^; 42 !; 17 ?; 145 :)
% 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_345,type,
vOR: $o > $o > $o ).
thf(func_def_346,type,
vAND: $o > $o > $o ).
thf(func_def_347,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_348,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_349,type,
vNOT: $o > $o ).
thf(func_def_350,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_351,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_352,type,
vIMP: $o > $o > $o ).
thf(func_def_353,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_354,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_355,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_356,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_357,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_358,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_359,type,
sP0: $o ).
thf(func_def_360,type,
sP1: $o > $i > $i > $i > $o ).
thf(func_def_361,type,
sP2: $o ).
thf(func_def_362,type,
sP3: $i > $i > $i > $o ).
thf(func_def_363,type,
sP4: $i > $i > $o ).
thf(func_def_364,type,
sP5: $i > $o ).
thf(func_def_365,type,
sP6: $i > $i > $o ).
thf(func_def_366,type,
sP7: $i > $i > $o ).
thf(func_def_367,type,
sP8: $o ).
thf(func_def_368,type,
sP9: $o ).
thf(func_def_369,type,
sP10: $o ).
thf(func_def_370,type,
sP11: $i > $i > $i > $i > $o ).
thf(func_def_371,type,
sP12: $o ).
thf(func_def_372,type,
sP13: $i > $i > $i > $o ).
thf(func_def_373,type,
sP14: $o ).
thf(func_def_383,type,
sK24: $i > $i > $o ).
thf(func_def_415,type,
sK56: $i > $o ).
thf(func_def_417,type,
sK58: ( $i > $o ) > $i > $i > $i ).
thf(func_def_418,type,
sK59: ( $i > $o ) > $i > $i > $i ).
thf(func_def_429,type,
sK70: $i > $i ).
thf(func_def_430,type,
sK71: ( $i > $i ) > $i > $i > $i ).
thf(func_def_436,type,
sK77: $i > $i > $o ).
thf(func_def_443,type,
sK84: $i > $i > $i > $i > $i ).
thf(func_def_444,type,
sK85: $i > $i > $i > $i > $i ).
thf(func_def_456,type,
sK97: $o ).
thf(func_def_459,type,
sK100: $i > $o ).
thf(func_def_460,type,
sK101: $i > $o ).
thf(func_def_461,type,
sK102: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_462,type,
sK103: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_472,type,
sK113: $i > $o ).
thf(func_def_475,type,
sK116: $o ).
thf(func_def_501,type,
sK142: $o ).
thf(func_def_503,type,
sK144: $i > $o ).
thf(func_def_505,type,
sK146: ( $i > $o ) > $i > $i ).
thf(func_def_506,type,
sK147: ( $i > $o ) > $i > $i ).
thf(func_def_509,type,
sK150: $i > $i > $o ).
thf(func_def_516,type,
sK157: ( $i > $o ) > $i ).
thf(func_def_517,type,
sK158: $i > $o ).
thf(func_def_535,type,
sK176: $i > $i > $o ).
thf(func_def_542,type,
sK183: $i > $o ).
thf(func_def_557,type,
sK198: $i > $i > $o ).
thf(func_def_558,type,
sK199: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_559,type,
sK200: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_563,type,
sK204: $i > $o ).
thf(func_def_566,type,
sK207: $o ).
thf(func_def_569,type,
sK210: ( $i > $o ) > $i > $i > $i ).
thf(func_def_570,type,
sK211: ( $i > $o ) > $i > $i > $i ).
thf(func_def_573,type,
sK214: $i > $o ).
thf(func_def_579,type,
sK220: $i > $i ).
thf(func_def_582,type,
sK223: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_583,type,
sK224: $i > $i > $o ).
thf(func_def_586,type,
sK227: $i > $i ).
thf(func_def_594,type,
sK235: $o ).
thf(func_def_608,type,
sK249: $i > ( $i > $i ) > $i > $i ).
thf(func_def_610,type,
sK251: $i > $i ).
thf(func_def_614,type,
sK255: $i > $i > $i ).
thf(func_def_627,type,
sK268: $i > $o ).
thf(func_def_628,type,
sK269: $i > $o ).
thf(func_def_629,type,
sK270: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_630,type,
sK271: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_631,type,
sK272: $i > $i > $o ).
thf(func_def_642,type,
sK283: $i > $i > $i ).
thf(func_def_650,type,
sK291: $o ).
thf(func_def_654,type,
sK295: $i > $i ).
thf(func_def_656,type,
sK297: $i > ( $i > $i ) > $i > $i ).
thf(func_def_658,type,
sK299: $i > $i ).
thf(func_def_698,type,
sK339: $o ).
thf(func_def_708,type,
sK349: $o ).
thf(func_def_714,type,
sK355: $i > $i > $i > $i ).
thf(func_def_715,type,
sK356: $i > $i > $i > $i ).
thf(func_def_722,type,
sK363: $i > $i > $o ).
thf(func_def_732,type,
sK373: $o ).
thf(func_def_751,type,
sK392: $o ).
thf(func_def_764,type,
sK405: $i > $i ).
thf(func_def_769,type,
sK410: ( $i > $o ) > $i > $i ).
thf(func_def_771,type,
sK412: $i > $o ).
thf(func_def_782,type,
sK423: $i > $i > $i > $i ).
thf(func_def_783,type,
sK424: $i > $i > $i > $i ).
thf(func_def_792,type,
sK433: $i > ( $i > $o ) > $i ).
thf(func_def_793,type,
sK434: $i > $o ).
thf(func_def_797,type,
sK438: $i > $i > $i > $i ).
thf(func_def_801,type,
sK442: $i > $i > $i > $i ).
thf(func_def_802,type,
sK443: $i > $o ).
thf(func_def_805,type,
sK446: $i > $i > ( $i > $o ) > $i ).
thf(func_def_811,type,
sK452: $i > $o ).
thf(func_def_822,type,
sK463: $i > $o ).
thf(func_def_824,type,
sK465: $o ).
thf(func_def_828,type,
sK469: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_829,type,
sK470: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_830,type,
sK471: $i > $o ).
thf(func_def_831,type,
sK472: $i > $o ).
thf(func_def_839,type,
sK480: $i > $i > $i > $i ).
thf(func_def_848,type,
sK489: $o ).
thf(func_def_857,type,
sK498: $i > $i > $i ).
thf(func_def_866,type,
sK507: $o ).
thf(func_def_883,type,
sK524: $i > $i > $i ).
thf(func_def_884,type,
sK525: $i > $i > $i ).
thf(func_def_885,type,
sK526: $i > $i > $i ).
thf(func_def_886,type,
sK527: $i > $i > $i ).
thf(func_def_887,type,
sK528: $i > $i > $i ).
thf(func_def_888,type,
sK529: $i > $i > $i > $i ).
thf(func_def_889,type,
sK530: $i > $i ).
thf(func_def_890,type,
sK531: $i > $i ).
thf(func_def_891,type,
sK532: $i > $i ).
thf(func_def_892,type,
sK533: $i > $i ).
thf(func_def_893,type,
sK534: $i > $i > $i > $i ).
thf(func_def_894,type,
sK535: $i > $i > $i > $i ).
thf(func_def_895,type,
sK536: $i > $i > $i ).
thf(func_def_896,type,
sK537: $i > $i > $i ).
thf(func_def_897,type,
sK538: $i > $i > $i ).
thf(func_def_899,type,
sK540: $i > $i ).
thf(func_def_900,type,
sK541: $i > $i ).
thf(func_def_901,type,
sK542: $i > $i ).
thf(func_def_904,type,
sK545: $o ).
thf(func_def_905,type,
sK546: $o > $i > $i > $i ).
thf(func_def_909,type,
sK550: $i > $o ).
thf(func_def_911,type,
sK552: ( $i > $o ) > $i ).
thf(func_def_912,type,
sK553: ( $i > $o ) > $i ).
thf(func_def_918,type,
sK559: $i > $o ).
thf(func_def_920,type,
sK561: $i > ( $i > $o ) > $i ).
thf(func_def_928,type,
sK569: $o ).
thf(func_def_939,type,
sK580: $i > $i > $i > $i ).
thf(func_def_940,type,
sK581: $i > $i ).
thf(func_def_942,type,
sK583: $i > $i ).
thf(func_def_945,type,
sK586: $i > $o ).
thf(func_def_955,type,
sK596: $i > $o ).
thf(func_def_957,type,
sK598: ( $i > $o ) > $i > $i ).
thf(func_def_958,type,
sK599: $i > $i > ( $i > $i ) > $i ).
thf(func_def_959,type,
sK600: $i > $i ).
thf(func_def_971,type,
sK612: $i > $o ).
thf(func_def_973,type,
sK614: ( $i > $o ) > $i > $i ).
thf(func_def_986,type,
sK627: $i > $o ).
thf(func_def_1001,type,
sK642: $i > $i > $i > $i > $i ).
thf(func_def_1007,type,
sK648: $i > $i ).
thf(func_def_1011,type,
sK652: $o ).
thf(func_def_1023,type,
sK664: $i > $i > $o ).
thf(func_def_1025,type,
sK666: $i > $i ).
thf(func_def_1026,type,
sK667: $i > $i ).
thf(func_def_1027,type,
sK668: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1028,type,
sK669: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_1029,type,
sK670: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1036,type,
sK677: $i > $i > $i ).
thf(func_def_1040,type,
sK681: $i > $o ).
thf(func_def_1041,type,
sK682: $i > $i ).
thf(func_def_1042,type,
sK683: ( $i > $o ) > $i ).
thf(func_def_1051,type,
sK692: $i > $o ).
thf(func_def_1052,type,
sK693: $i > $o ).
thf(func_def_1055,type,
sK696: $i > ( $i > $o ) > $i ).
thf(func_def_1057,type,
sK698: $i > $o ).
thf(func_def_1059,type,
sK700: ( $i > $o ) > $i > $i ).
thf(func_def_1071,type,
sK712: ( $i > $o ) > $i ).
thf(func_def_1072,type,
sK713: $i > $o ).
thf(func_def_1073,type,
sK714: $i > $i ).
thf(func_def_1076,type,
sK717: $i > $i > $i ).
thf(func_def_1079,type,
sK720: $i > $o ).
thf(func_def_1097,type,
sK738: $i > $i > $i ).
thf(func_def_1114,type,
sK755: $i > $i ).
thf(func_def_1115,type,
sK756: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1118,type,
sK759: $i > $i ).
thf(func_def_1119,type,
sK760: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1138,type,
sK779: $i > $o ).
thf(func_def_1141,type,
sK782: $i > ( $i > $o ) > $i ).
thf(func_def_1142,type,
sK783: $i > ( $i > $o ) > $i ).
thf(func_def_1147,type,
sK788: $i > $o ).
thf(func_def_1156,type,
sK797: $i > $i > $o ).
thf(func_def_1168,type,
sK809: $i > $i > $i > $i > $i ).
thf(func_def_1173,type,
sK814: $i > $o ).
thf(func_def_1180,type,
sK821: $i > $o ).
thf(func_def_1197,type,
sK838: $i > $i > $i > $i > $i ).
thf(func_def_1198,type,
sK839: $i > $i > $i > $i > $i ).
thf(func_def_1199,type,
sK840: $i > $i > $i > $i > $i ).
thf(func_def_1200,type,
sK841: $i > $i > $i > $i > $i ).
thf(func_def_1212,type,
sK853: $i > $o ).
thf(func_def_1222,type,
sK863: $i > $i > $i > $i > $i ).
thf(func_def_1232,type,
sK873: $i > $i ).
thf(func_def_1236,type,
sK877: $i > $o ).
thf(func_def_1247,type,
sK888: $i > $i > $i ).
thf(func_def_1262,type,
sK903: $o ).
thf(func_def_1272,type,
sK913: $o ).
thf(func_def_1289,type,
sK930: $i > $i > $i ).
thf(func_def_1294,type,
sK935: ( $i > $o ) > $i > $i ).
thf(func_def_1296,type,
sK937: $i > $o ).
thf(func_def_1309,type,
sK950: $i > $i > $i > $i ).
thf(func_def_1310,type,
sK951: $i > $i > $i > $i ).
thf(func_def_1311,type,
sK952: $i > $i > $i > $i ).
thf(func_def_1312,type,
sK953: $i > $i > $i > $i ).
thf(func_def_1316,type,
sK957: $i > $o ).
thf(func_def_1318,type,
sK959: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1319,type,
sK960: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1320,type,
sK961: ( $i > $o ) > $i > $i ).
thf(func_def_1322,type,
sK963: $i > $o ).
thf(func_def_1328,type,
sK969: $i > $i > $i ).
thf(func_def_1329,type,
sK970: $i > $i > $i ).
thf(func_def_1332,type,
sK973: ( $i > $o ) > $i ).
thf(func_def_1333,type,
sK974: ( $i > $o ) > $i > $i ).
thf(func_def_1334,type,
sK975: ( $i > $o ) > $i > $i ).
thf(func_def_1335,type,
sK976: $i > ( $i > $o ) > $i ).
thf(func_def_1336,type,
sK977: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_1337,type,
sK978: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_1338,type,
sK979: ( $i > $o ) > $i > $i ).
thf(func_def_1339,type,
sK980: ( $i > $o ) > $i ).
thf(func_def_1340,type,
sK981: ( $i > $o ) > $i ).
thf(func_def_1341,type,
sK982: ( $i > $o ) > $i > $i ).
thf(func_def_1342,type,
sK983: ( $i > $o ) > $i > $i ).
thf(func_def_1343,type,
sK984: ( $i > $o ) > $i ).
thf(func_def_1344,type,
sK985: ( $i > $o ) > $i > $i ).
thf(func_def_1345,type,
sK986: ( $i > $o ) > $i > $i ).
thf(func_def_1346,type,
sK987: ( $i > $o ) > $i ).
thf(func_def_1347,type,
sK988: ( $i > $o ) > $i > $i ).
thf(func_def_1348,type,
sK989: ( $i > $o ) > $i > $i ).
thf(func_def_1349,type,
sK990: ( $i > $o ) > $i ).
thf(func_def_1350,type,
sK991: ( $i > $o ) > $i > $i ).
thf(func_def_1351,type,
sK992: ( $i > $o ) > $i > $i ).
thf(func_def_1352,type,
sK993: ( $i > $o ) > $i ).
thf(func_def_1353,type,
sK994: ( $i > $o ) > $i ).
thf(func_def_1354,type,
sK995: $i > $i ).
thf(func_def_1355,type,
sK996: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_1356,type,
sK997: ( $i > $o ) > $i > $i ).
thf(func_def_1357,type,
sK998: ( $i > $o ) > $i ).
thf(func_def_1358,type,
sK999: ( $i > $o ) > $i > $i ).
thf(func_def_1359,type,
sK1000: ( $i > $o ) > $i ).
thf(func_def_1360,type,
sK1001: ( $i > $o ) > $i > $i ).
thf(func_def_1361,type,
sK1002: ( $i > $o ) > $i > $i ).
thf(func_def_1362,type,
sK1003: ( $i > $o ) > $i ).
thf(func_def_1363,type,
sK1004: ( $i > $o ) > $i > $i ).
thf(func_def_1364,type,
sK1005: ( $i > $o ) > $i > $i ).
thf(func_def_1365,type,
sK1006: $i > ( $i > $o ) > $i ).
thf(func_def_1366,type,
sK1007: ( $i > $o ) > $i > $i ).
thf(func_def_1367,type,
sK1008: $i > ( $i > $o ) > $i ).
thf(func_def_1368,type,
sK1009: ( $i > $o ) > $i > $i ).
thf(func_def_1369,type,
sK1010: ( $i > $o ) > $i ).
thf(func_def_1370,type,
sK1011: ( $i > $o ) > $i ).
thf(func_def_1371,type,
sK1012: $i > ( $i > $o ) > $i ).
thf(func_def_1372,type,
sK1013: $i > ( $i > $o ) > $i ).
thf(func_def_1373,type,
sK1014: $i > ( $i > $o ) > $i ).
thf(f184,axiom,
( breln
= ( ^ [X0: $i,X1: $i,X2: $i] : ( subset @ X2 @ ( cartprod @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln) ).
thf(f187,axiom,
( setOfPairsIsBReln
= ( ! [X0: $i,X1: $i,X2: $i > $i > $o] :
( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setOfPairsIsBReln) ).
thf(f288,axiom,
( breln1
= ( ^ [X0: $i,X1: $i] : ( breln @ X0 @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1) ).
thf(f299,axiom,
( breln1compset
= ( ^ [X0: $i,X1: $i,X2: $i] :
( dpsetconstr @ X0 @ X0
@ ^ [X3: $i,X4: $i] :
? [X5: $i] :
( ( in @ ( kpair @ X5 @ X4 ) @ X2 )
& ( in @ X5 @ X0 )
& ( in @ ( kpair @ X3 @ X5 ) @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1compset) ).
thf(f300,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1compprop) ).
thf(f301,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f300]) ).
thf(f462,plain,
( breln1
= ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f288]) ).
thf(f581,plain,
( setOfPairsIsBReln
= ( ! [X0: $i,X1: $i,X2: $i > $i > $o] :
( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) ) ) ) ),
inference(rectify,[],[f187]) ).
thf(f582,plain,
( ! [X2: $i > $i > $o,X1: $i,X0: $i] :
( ( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
= $true )
<=> ( setOfPairsIsBReln = $true ) ),
inference(fool_elimination,[],[f581]) ).
thf(f788,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f301]) ).
thf(f789,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 )
=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ( ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f788]) ).
thf(f843,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f184]) ).
thf(f877,plain,
( breln1compset
= ( ^ [X0: $i,X1: $i,X2: $i] :
( dpsetconstr @ X0 @ X0
@ ^ [X3: $i,X4: $i] :
? [X5: $i] :
( ( in @ ( kpair @ X5 @ X4 ) @ X2 )
& ( in @ X5 @ X0 )
& ( in @ ( kpair @ X3 @ X5 ) @ X1 ) ) ) ) ),
inference(rectify,[],[f299]) ).
thf(f878,plain,
( breln1compset
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y3: $i,Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ ( kpair @ Y3 @ Y5 ) @ Y1 )
& ( in @ Y5 @ Y0 )
& ( in @ ( kpair @ Y5 @ Y4 ) @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f877]) ).
thf(f1062,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) )
!= $true )
& ( ( breln1 @ X0 @ X2 )
= $true ) )
& ( ( breln1 @ X0 @ X1 )
= $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,[],[f789]) ).
thf(f1063,plain,
( ( subsetRefl = $true )
& ( singletonsubset = $true )
& ( cartprodmempair1 = $true )
& ( dsetconstrER = $true )
& ( upairsetIR = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusILneg = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1SetBreln1 = $true )
& ( setukpairIL = $true )
& ( woz1_5 = $true )
& ( complementImpComplementIntersect = $true )
& ( nonemptyI1 = $true )
& ( demorgan1b = $true )
& ( upairset2IR = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( setminusLsub = $true )
& ( notinsingleton = $true )
& ( cartprodsndin = $true )
& ( upairinpowunion = $true )
& ( kpairp = $true )
& ( subbreln = $true )
& ( binunionEcases = $true )
& ( ap2apEq1 = $true )
& ( symdiffIneg1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setunionsingleton2 = $true )
& ( emptysetE = $true )
& ( brelnall2 = $true )
& ( notdallE = $true )
& ( upairsetE = $true )
& ( ubforcartprodlem3 = $true )
& ( exuI3 = $true )
& ( funcGraphProp1 = $true )
& ( emptyinunitempty = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( funcext2 = $true )
& ( powersetTE1 = $true )
& ( setminusI = $true )
& ( kpairsurjEq = $true )
& ( subsetTrans = $true )
& ( cartprodmempair = $true )
& ( contraSubsetComplement = $true )
& ( foundationAx = $true )
& ( setminusEL = $true )
& ( ubforcartprodlem2 = $true )
& ( dpsetconstrER = $true )
& ( sepSubset = $true )
& ( beta1 = $true )
& ( symdiffI1 = $true )
& ( powersetI = $true )
& ( ifSingleton = $true )
& ( binintersectTELcontra = $true )
& ( funcext = $true )
& ( dpsetconstrSub = $true )
& ( cartprodpairsurjEq = $true )
& ( omegaSAx = $true )
& ( setunionAx = $true )
& ( complementTcontraSubset = $true )
& ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) )
!= $true )
& ( ( breln1 @ X0 @ X2 )
= $true ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) )
& ( binunionIL = $true )
& ( setukpairinjR1 = $true )
& ( bs114d = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( binunionTEcontra = $true )
& ( emptyset__Cong = $true )
& ( powerset__Cong = $true )
& ( binintersectT_lem = $true )
& ( dsetconstrI = $true )
& ( setunionE2 = $true )
& ( funcGraphProp2 = $true )
& ( binunionTILcontra = $true )
& ( setminusERneg = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( cartprodpairin = $true )
& ( setukpairinjL2 = $true )
& ( sepInPowerset = $true )
& ( setadjoinSub2 = $true )
& ( eta1 = $true )
& ( eqbreln1 = $true )
& ( setbeta = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectRsub = $true )
& ( vacuousDall = $true )
& ( emptysetsubset = $true )
& ( emptyinPowerset = $true )
& ( prop2setI = $true )
& ( choice2fnsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( subsetI1 = $true )
& ( setminusELneg = $true )
& ( dpsetconstrI = $true )
& ( binintersectSubset5 = $true )
& ( setukpairinjR2 = $true )
& ( ex1E1 = $true )
& ( doubleComplementI1 = $true )
& ( singletonsswitch = $true )
& ( complementT_lem = $true )
& ( demorgan2a = $true )
& ( doubleComplementE1 = $true )
& ( powersetE = $true )
& ( powersetTI1 = $true )
& ( setadjoinIR = $true )
& ( subset2powerset = $true )
& ( emptyE1 = $true )
& ( ap2p = $true )
& ( demorgan2b = $true )
& ( setminusER = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectLsub = $true )
& ( emptyI = $true )
& ( eqinunit = $true )
& ( binintersectSubset1 = $true )
& ( setminusIRneg = $true )
& ( wellorderingAx = $true )
& ( woz13rule1 = $true )
& ( lamProp = $true )
& ( binunionTIRcontra = $true )
& ( symdiffI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( setunionsingleton = $true )
& ( prop2set2propI = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( setadjoinE = $true )
& ( prop2setE = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1all2 = $true )
& ( kfstpairEq = $true )
& ( symdiffE = $true )
& ( cartprodpairmemER = $true )
& ( setextAx = $true )
& ( exuE3e = $true )
& ( omega0Ax = $true )
& ( demorgan1 = $true )
& ( cartprodpairmemEL = $true )
& ( woz1_2 = $true )
& ( iffalseProp1 = $true )
& ( beta2 = $true )
& ( notequalI2 = $true )
& ( binintersectTERcontra = $true )
& ( exuI2 = $true )
& ( demorgan2a2 = $true )
& ( breln1invprop = $true )
& ( setukpairinjR11 = $true )
& ( ifp = $true )
& ( iffalse = $true )
& ( lamp = $true )
& ( woz1_4 = $true )
& ( singletoninpowerset = $true )
& ( kfstsingleton = $true )
& ( doubleComplementEq = $true )
& ( powersetT_lem = $true )
& ( dpsetconstrERa = $true )
& ( infuncsetfunc = $true )
& ( disjointsetsI1 = $true )
& ( subPowSU = $true )
& ( funcImageSingleton = $true )
& ( ksndpairEq = $true )
& ( dpsetconstrEL2 = $true )
& ( notdexE = $true )
& ( iftrueProp1 = $true )
& ( iftrueProp2 = $true )
& ( emptyInPowerset = $true )
& ( setadjoinOr = $true )
& ( setunionsingleton1 = $true )
& ( symdiffIneg2 = $true )
& ( binunionTE = $true )
& ( funcGraphProp4 = $true )
& ( setunionI = $true )
& ( apProp = $true )
& ( quantDeMorgan1 = $true )
& ( eqimpsubset1 = $true )
& ( setukpairinjR12 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectSubset3 = $true )
& ( setext = $true )
& ( binintersectSubset2 = $true )
& ( iftrueorfalse = $true )
& ( exuE2 = $true )
& ( ex1I = $true )
& ( uniqinunit = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( theeq = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrEL1 = $true )
& ( funcextLem = $true )
& ( binunionE = $true )
& ( subsetE2 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( iftrue = $true )
& ( contrasubsetT = $true )
& ( complementTI1 = $true )
& ( replAx = $true )
& ( setadjoinIL = $true )
& ( kpairiskpair = $true )
& ( setukpairinjR = $true )
& ( binintersectSubset4 = $true )
& ( complementTnotintersectT = $true )
& ( binunionLsub = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan4 = $true )
& ( omegaIndAx = $true )
& ( exuEu = $true )
& ( woz13rule2 = $true )
& ( inCongP = $true )
& ( setukpairinjL1 = $true )
& ( woz1_1 = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( contrasubsetT3 = $true )
& ( brelnall1 = $true )
& ( funcGraphProp3 = $true )
& ( setukpairIR = $true )
& ( setoftrueEq = $true )
& ( singletonsuniq = $true )
& ( contrasubsetT1 = $true )
& ( subsetE = $true )
& ( setminusSubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( subsetI2 = $true )
& ( inPowerset = $true )
& ( cartprodfstpairEq = $true )
& ( woz13rule3 = $true )
& ( notsubsetI = $true )
& ( exuE3u = $true )
& ( upairequniteq = $true )
& ( ex1I2 = $true )
& ( in__Cong = $true )
& ( exuI1 = $true )
& ( setextsub = $true )
& ( demorgan2b2 = $true )
& ( notequalI1 = $true )
& ( quantDeMorgan3 = $true )
& ( nonemptyI = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( eqbreln = $true )
& ( eta2 = $true )
& ( doubleComplementSub2 = $true )
& ( nonemptyE1 = $true )
& ( upairset2E = $true )
& ( eqimpsubset2 = $true )
& ( omega__Cong = $true )
& ( ksndsingleton = $true )
& ( complementTE1 = $true )
& ( setadjoinSub = $true )
& ( binintersectI = $true )
& ( woz13rule4 = $true )
& ( exu__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( woz1_3 = $true )
& ( powersetE1 = $true )
& ( setminusT_lem = $true )
& ( dsetconstrEL = $true )
& ( powersetsubset = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( demorgan2a1 = $true )
& ( binintersectER = $true )
& ( singletonprop = $true )
& ( breln1invE = $true )
& ( setunionE = $true )
& ( noeltsimpempty = $true )
& ( breln1all1 = $true )
& ( notinemptyset = $true )
& ( descrp = $true )
& ( setminusSubset2 = $true )
& ( emptysetAx = $true )
& ( demorgan1a = $true )
& ( woz13rule0 = $true )
& ( ap2apEq2 = $true )
& ( subbreln1 = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( setunion__Cong = $true )
& ( contrasubsetT2 = $true )
& ( singletoninpowunion = $true )
& ( descr__Cong = $true )
& ( demorgan2 = $true )
& ( secondinupair = $true )
& ( subsetTI = $true )
& ( lam2p = $true )
& ( iffalseProp2 = $true )
& ( binunionT_lem = $true ) ),
inference(flattening,[],[f1062]) ).
thf(f1376,plain,
( ( ! [X2: $i > $i > $o,X1: $i,X0: $i] :
( ( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
= $true )
| ( setOfPairsIsBReln != $true ) )
& ( ( setOfPairsIsBReln = $true )
| ? [X2: $i > $i > $o,X1: $i,X0: $i] :
( ( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
!= $true ) ) ),
inference(nnf_transformation,[],[f582]) ).
thf(f1377,plain,
( ( ! [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( breln @ X2 @ X1
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
= $true )
| ( setOfPairsIsBReln != $true ) )
& ( ( setOfPairsIsBReln = $true )
| ? [X3: $i > $i > $o,X4: $i,X5: $i] :
( $true
!= ( breln @ X5 @ X4
@ ( dpsetconstr @ X5 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X3 @ Y0 @ Y1 ) ) ) ) ) ),
inference(rectify,[],[f1376]) ).
thf(f1378,plain,
( ( ! [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( breln @ X2 @ X1
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
= $true )
| ( setOfPairsIsBReln != $true ) )
& ( ( setOfPairsIsBReln = $true )
| ( ( breln @ sK79 @ sK78
@ ( dpsetconstr @ sK79 @ sK78
@ ^ [Y0: $i,Y1: $i] : ( sK77 @ Y0 @ Y1 ) ) )
!= $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77,sK78,sK79]),skolemize(X3,sK77),skolemize(X4,sK78),skolemize(X5,sK79)],[f1377]) ).
thf(f1782,plain,
( ( subsetRefl = $true )
& ( singletonsubset = $true )
& ( cartprodmempair1 = $true )
& ( dsetconstrER = $true )
& ( upairsetIR = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusILneg = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1SetBreln1 = $true )
& ( setukpairIL = $true )
& ( woz1_5 = $true )
& ( complementImpComplementIntersect = $true )
& ( nonemptyI1 = $true )
& ( demorgan1b = $true )
& ( upairset2IR = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( setminusLsub = $true )
& ( notinsingleton = $true )
& ( cartprodsndin = $true )
& ( upairinpowunion = $true )
& ( kpairp = $true )
& ( subbreln = $true )
& ( binunionEcases = $true )
& ( ap2apEq1 = $true )
& ( symdiffIneg1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setunionsingleton2 = $true )
& ( emptysetE = $true )
& ( brelnall2 = $true )
& ( notdallE = $true )
& ( upairsetE = $true )
& ( ubforcartprodlem3 = $true )
& ( exuI3 = $true )
& ( funcGraphProp1 = $true )
& ( emptyinunitempty = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( funcext2 = $true )
& ( powersetTE1 = $true )
& ( setminusI = $true )
& ( kpairsurjEq = $true )
& ( subsetTrans = $true )
& ( cartprodmempair = $true )
& ( contraSubsetComplement = $true )
& ( foundationAx = $true )
& ( setminusEL = $true )
& ( ubforcartprodlem2 = $true )
& ( dpsetconstrER = $true )
& ( sepSubset = $true )
& ( beta1 = $true )
& ( symdiffI1 = $true )
& ( powersetI = $true )
& ( ifSingleton = $true )
& ( binintersectTELcontra = $true )
& ( funcext = $true )
& ( dpsetconstrSub = $true )
& ( cartprodpairsurjEq = $true )
& ( omegaSAx = $true )
& ( setunionAx = $true )
& ( complementTcontraSubset = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
!= $true )
& ( $true
= ( breln1 @ X1 @ X2 ) ) )
& ( $true
= ( breln1 @ X1 @ X0 ) ) )
& ( binunionIL = $true )
& ( setukpairinjR1 = $true )
& ( bs114d = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( binunionTEcontra = $true )
& ( emptyset__Cong = $true )
& ( powerset__Cong = $true )
& ( binintersectT_lem = $true )
& ( dsetconstrI = $true )
& ( setunionE2 = $true )
& ( funcGraphProp2 = $true )
& ( binunionTILcontra = $true )
& ( setminusERneg = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( cartprodpairin = $true )
& ( setukpairinjL2 = $true )
& ( sepInPowerset = $true )
& ( setadjoinSub2 = $true )
& ( eta1 = $true )
& ( eqbreln1 = $true )
& ( setbeta = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectRsub = $true )
& ( vacuousDall = $true )
& ( emptysetsubset = $true )
& ( emptyinPowerset = $true )
& ( prop2setI = $true )
& ( choice2fnsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( subsetI1 = $true )
& ( setminusELneg = $true )
& ( dpsetconstrI = $true )
& ( binintersectSubset5 = $true )
& ( setukpairinjR2 = $true )
& ( ex1E1 = $true )
& ( doubleComplementI1 = $true )
& ( singletonsswitch = $true )
& ( complementT_lem = $true )
& ( demorgan2a = $true )
& ( doubleComplementE1 = $true )
& ( powersetE = $true )
& ( powersetTI1 = $true )
& ( setadjoinIR = $true )
& ( subset2powerset = $true )
& ( emptyE1 = $true )
& ( ap2p = $true )
& ( demorgan2b = $true )
& ( setminusER = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectLsub = $true )
& ( emptyI = $true )
& ( eqinunit = $true )
& ( binintersectSubset1 = $true )
& ( setminusIRneg = $true )
& ( wellorderingAx = $true )
& ( woz13rule1 = $true )
& ( lamProp = $true )
& ( binunionTIRcontra = $true )
& ( symdiffI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( setunionsingleton = $true )
& ( prop2set2propI = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( setadjoinE = $true )
& ( prop2setE = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1all2 = $true )
& ( kfstpairEq = $true )
& ( symdiffE = $true )
& ( cartprodpairmemER = $true )
& ( setextAx = $true )
& ( exuE3e = $true )
& ( omega0Ax = $true )
& ( demorgan1 = $true )
& ( cartprodpairmemEL = $true )
& ( woz1_2 = $true )
& ( iffalseProp1 = $true )
& ( beta2 = $true )
& ( notequalI2 = $true )
& ( binintersectTERcontra = $true )
& ( exuI2 = $true )
& ( demorgan2a2 = $true )
& ( breln1invprop = $true )
& ( setukpairinjR11 = $true )
& ( ifp = $true )
& ( iffalse = $true )
& ( lamp = $true )
& ( woz1_4 = $true )
& ( singletoninpowerset = $true )
& ( kfstsingleton = $true )
& ( doubleComplementEq = $true )
& ( powersetT_lem = $true )
& ( dpsetconstrERa = $true )
& ( infuncsetfunc = $true )
& ( disjointsetsI1 = $true )
& ( subPowSU = $true )
& ( funcImageSingleton = $true )
& ( ksndpairEq = $true )
& ( dpsetconstrEL2 = $true )
& ( notdexE = $true )
& ( iftrueProp1 = $true )
& ( iftrueProp2 = $true )
& ( emptyInPowerset = $true )
& ( setadjoinOr = $true )
& ( setunionsingleton1 = $true )
& ( symdiffIneg2 = $true )
& ( binunionTE = $true )
& ( funcGraphProp4 = $true )
& ( setunionI = $true )
& ( apProp = $true )
& ( quantDeMorgan1 = $true )
& ( eqimpsubset1 = $true )
& ( setukpairinjR12 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectSubset3 = $true )
& ( setext = $true )
& ( binintersectSubset2 = $true )
& ( iftrueorfalse = $true )
& ( exuE2 = $true )
& ( ex1I = $true )
& ( uniqinunit = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( theeq = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrEL1 = $true )
& ( funcextLem = $true )
& ( binunionE = $true )
& ( subsetE2 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( iftrue = $true )
& ( contrasubsetT = $true )
& ( complementTI1 = $true )
& ( replAx = $true )
& ( setadjoinIL = $true )
& ( kpairiskpair = $true )
& ( setukpairinjR = $true )
& ( binintersectSubset4 = $true )
& ( complementTnotintersectT = $true )
& ( binunionLsub = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan4 = $true )
& ( omegaIndAx = $true )
& ( exuEu = $true )
& ( woz13rule2 = $true )
& ( inCongP = $true )
& ( setukpairinjL1 = $true )
& ( woz1_1 = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( contrasubsetT3 = $true )
& ( brelnall1 = $true )
& ( funcGraphProp3 = $true )
& ( setukpairIR = $true )
& ( setoftrueEq = $true )
& ( singletonsuniq = $true )
& ( contrasubsetT1 = $true )
& ( subsetE = $true )
& ( setminusSubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( subsetI2 = $true )
& ( inPowerset = $true )
& ( cartprodfstpairEq = $true )
& ( woz13rule3 = $true )
& ( notsubsetI = $true )
& ( exuE3u = $true )
& ( upairequniteq = $true )
& ( ex1I2 = $true )
& ( in__Cong = $true )
& ( exuI1 = $true )
& ( setextsub = $true )
& ( demorgan2b2 = $true )
& ( notequalI1 = $true )
& ( quantDeMorgan3 = $true )
& ( nonemptyI = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( eqbreln = $true )
& ( eta2 = $true )
& ( doubleComplementSub2 = $true )
& ( nonemptyE1 = $true )
& ( upairset2E = $true )
& ( eqimpsubset2 = $true )
& ( omega__Cong = $true )
& ( ksndsingleton = $true )
& ( complementTE1 = $true )
& ( setadjoinSub = $true )
& ( binintersectI = $true )
& ( woz13rule4 = $true )
& ( exu__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( woz1_3 = $true )
& ( powersetE1 = $true )
& ( setminusT_lem = $true )
& ( dsetconstrEL = $true )
& ( powersetsubset = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( demorgan2a1 = $true )
& ( binintersectER = $true )
& ( singletonprop = $true )
& ( breln1invE = $true )
& ( setunionE = $true )
& ( noeltsimpempty = $true )
& ( breln1all1 = $true )
& ( notinemptyset = $true )
& ( descrp = $true )
& ( setminusSubset2 = $true )
& ( emptysetAx = $true )
& ( demorgan1a = $true )
& ( woz13rule0 = $true )
& ( ap2apEq2 = $true )
& ( subbreln1 = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( setunion__Cong = $true )
& ( contrasubsetT2 = $true )
& ( singletoninpowunion = $true )
& ( descr__Cong = $true )
& ( demorgan2 = $true )
& ( secondinupair = $true )
& ( subsetTI = $true )
& ( lam2p = $true )
& ( iffalseProp2 = $true )
& ( binunionT_lem = $true ) ),
inference(rectify,[],[f1063]) ).
thf(f1783,plain,
( ( subsetRefl = $true )
& ( singletonsubset = $true )
& ( cartprodmempair1 = $true )
& ( dsetconstrER = $true )
& ( upairsetIR = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusILneg = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1SetBreln1 = $true )
& ( setukpairIL = $true )
& ( woz1_5 = $true )
& ( complementImpComplementIntersect = $true )
& ( nonemptyI1 = $true )
& ( demorgan1b = $true )
& ( upairset2IR = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( setminusLsub = $true )
& ( notinsingleton = $true )
& ( cartprodsndin = $true )
& ( upairinpowunion = $true )
& ( kpairp = $true )
& ( subbreln = $true )
& ( binunionEcases = $true )
& ( ap2apEq1 = $true )
& ( symdiffIneg1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setunionsingleton2 = $true )
& ( emptysetE = $true )
& ( brelnall2 = $true )
& ( notdallE = $true )
& ( upairsetE = $true )
& ( ubforcartprodlem3 = $true )
& ( exuI3 = $true )
& ( funcGraphProp1 = $true )
& ( emptyinunitempty = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( funcext2 = $true )
& ( powersetTE1 = $true )
& ( setminusI = $true )
& ( kpairsurjEq = $true )
& ( subsetTrans = $true )
& ( cartprodmempair = $true )
& ( contraSubsetComplement = $true )
& ( foundationAx = $true )
& ( setminusEL = $true )
& ( ubforcartprodlem2 = $true )
& ( dpsetconstrER = $true )
& ( sepSubset = $true )
& ( beta1 = $true )
& ( symdiffI1 = $true )
& ( powersetI = $true )
& ( ifSingleton = $true )
& ( binintersectTELcontra = $true )
& ( funcext = $true )
& ( dpsetconstrSub = $true )
& ( cartprodpairsurjEq = $true )
& ( omegaSAx = $true )
& ( setunionAx = $true )
& ( complementTcontraSubset = $true )
& ( ( breln1 @ sK517 @ ( breln1compset @ sK517 @ sK516 @ sK518 ) )
!= $true )
& ( ( breln1 @ sK517 @ sK518 )
= $true )
& ( $true
= ( breln1 @ sK517 @ sK516 ) )
& ( binunionIL = $true )
& ( setukpairinjR1 = $true )
& ( bs114d = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( binunionTEcontra = $true )
& ( emptyset__Cong = $true )
& ( powerset__Cong = $true )
& ( binintersectT_lem = $true )
& ( dsetconstrI = $true )
& ( setunionE2 = $true )
& ( funcGraphProp2 = $true )
& ( binunionTILcontra = $true )
& ( setminusERneg = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( cartprodpairin = $true )
& ( setukpairinjL2 = $true )
& ( sepInPowerset = $true )
& ( setadjoinSub2 = $true )
& ( eta1 = $true )
& ( eqbreln1 = $true )
& ( setbeta = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectRsub = $true )
& ( vacuousDall = $true )
& ( emptysetsubset = $true )
& ( emptyinPowerset = $true )
& ( prop2setI = $true )
& ( choice2fnsingleton = $true )
& ( complementSubsetComplementIntersect = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( subsetI1 = $true )
& ( setminusELneg = $true )
& ( dpsetconstrI = $true )
& ( binintersectSubset5 = $true )
& ( setukpairinjR2 = $true )
& ( ex1E1 = $true )
& ( doubleComplementI1 = $true )
& ( singletonsswitch = $true )
& ( complementT_lem = $true )
& ( demorgan2a = $true )
& ( doubleComplementE1 = $true )
& ( powersetE = $true )
& ( powersetTI1 = $true )
& ( setadjoinIR = $true )
& ( subset2powerset = $true )
& ( emptyE1 = $true )
& ( ap2p = $true )
& ( demorgan2b = $true )
& ( setminusER = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectLsub = $true )
& ( emptyI = $true )
& ( eqinunit = $true )
& ( binintersectSubset1 = $true )
& ( setminusIRneg = $true )
& ( wellorderingAx = $true )
& ( woz13rule1 = $true )
& ( lamProp = $true )
& ( binunionTIRcontra = $true )
& ( symdiffI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( setunionsingleton = $true )
& ( prop2set2propI = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( setadjoinE = $true )
& ( prop2setE = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1all2 = $true )
& ( kfstpairEq = $true )
& ( symdiffE = $true )
& ( cartprodpairmemER = $true )
& ( setextAx = $true )
& ( exuE3e = $true )
& ( omega0Ax = $true )
& ( demorgan1 = $true )
& ( cartprodpairmemEL = $true )
& ( woz1_2 = $true )
& ( iffalseProp1 = $true )
& ( beta2 = $true )
& ( notequalI2 = $true )
& ( binintersectTERcontra = $true )
& ( exuI2 = $true )
& ( demorgan2a2 = $true )
& ( breln1invprop = $true )
& ( setukpairinjR11 = $true )
& ( ifp = $true )
& ( iffalse = $true )
& ( lamp = $true )
& ( woz1_4 = $true )
& ( singletoninpowerset = $true )
& ( kfstsingleton = $true )
& ( doubleComplementEq = $true )
& ( powersetT_lem = $true )
& ( dpsetconstrERa = $true )
& ( infuncsetfunc = $true )
& ( disjointsetsI1 = $true )
& ( subPowSU = $true )
& ( funcImageSingleton = $true )
& ( ksndpairEq = $true )
& ( dpsetconstrEL2 = $true )
& ( notdexE = $true )
& ( iftrueProp1 = $true )
& ( iftrueProp2 = $true )
& ( emptyInPowerset = $true )
& ( setadjoinOr = $true )
& ( setunionsingleton1 = $true )
& ( symdiffIneg2 = $true )
& ( binunionTE = $true )
& ( funcGraphProp4 = $true )
& ( setunionI = $true )
& ( apProp = $true )
& ( quantDeMorgan1 = $true )
& ( eqimpsubset1 = $true )
& ( setukpairinjR12 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binintersectSubset3 = $true )
& ( setext = $true )
& ( binintersectSubset2 = $true )
& ( iftrueorfalse = $true )
& ( exuE2 = $true )
& ( ex1I = $true )
& ( uniqinunit = $true )
& ( powersetAx = $true )
& ( lam2lamEq = $true )
& ( theeq = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrEL1 = $true )
& ( funcextLem = $true )
& ( binunionE = $true )
& ( subsetE2 = $true )
& ( exuE1 = $true )
& ( binunionIR = $true )
& ( iftrue = $true )
& ( contrasubsetT = $true )
& ( complementTI1 = $true )
& ( replAx = $true )
& ( setadjoinIL = $true )
& ( kpairiskpair = $true )
& ( setukpairinjR = $true )
& ( binintersectSubset4 = $true )
& ( complementTnotintersectT = $true )
& ( binunionLsub = $true )
& ( binintersectEL = $true )
& ( quantDeMorgan4 = $true )
& ( omegaIndAx = $true )
& ( exuEu = $true )
& ( woz13rule2 = $true )
& ( inCongP = $true )
& ( setukpairinjL1 = $true )
& ( woz1_1 = $true )
& ( setukpairinjL = $true )
& ( cartprodsndpairEq = $true )
& ( contrasubsetT3 = $true )
& ( brelnall1 = $true )
& ( funcGraphProp3 = $true )
& ( setukpairIR = $true )
& ( setoftrueEq = $true )
& ( singletonsuniq = $true )
& ( contrasubsetT1 = $true )
& ( subsetE = $true )
& ( setminusSubset1 = $true )
& ( dsetconstr__Cong = $true )
& ( subsetI2 = $true )
& ( inPowerset = $true )
& ( cartprodfstpairEq = $true )
& ( woz13rule3 = $true )
& ( notsubsetI = $true )
& ( exuE3u = $true )
& ( upairequniteq = $true )
& ( ex1I2 = $true )
& ( in__Cong = $true )
& ( exuI1 = $true )
& ( setextsub = $true )
& ( demorgan2b2 = $true )
& ( notequalI1 = $true )
& ( quantDeMorgan3 = $true )
& ( nonemptyI = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( eqbreln = $true )
& ( eta2 = $true )
& ( doubleComplementSub2 = $true )
& ( nonemptyE1 = $true )
& ( upairset2E = $true )
& ( eqimpsubset2 = $true )
& ( omega__Cong = $true )
& ( ksndsingleton = $true )
& ( complementTE1 = $true )
& ( setadjoinSub = $true )
& ( binintersectI = $true )
& ( woz13rule4 = $true )
& ( exu__Cong = $true )
& ( setOfPairsIsBReln = $true )
& ( woz1_3 = $true )
& ( powersetE1 = $true )
& ( setminusT_lem = $true )
& ( dsetconstrEL = $true )
& ( powersetsubset = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( demorgan2a1 = $true )
& ( binintersectER = $true )
& ( singletonprop = $true )
& ( breln1invE = $true )
& ( setunionE = $true )
& ( noeltsimpempty = $true )
& ( breln1all1 = $true )
& ( notinemptyset = $true )
& ( descrp = $true )
& ( setminusSubset2 = $true )
& ( emptysetAx = $true )
& ( demorgan1a = $true )
& ( woz13rule0 = $true )
& ( ap2apEq2 = $true )
& ( subbreln1 = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( setunion__Cong = $true )
& ( contrasubsetT2 = $true )
& ( singletoninpowunion = $true )
& ( descr__Cong = $true )
& ( demorgan2 = $true )
& ( secondinupair = $true )
& ( subsetTI = $true )
& ( lam2p = $true )
& ( iffalseProp2 = $true )
& ( binunionT_lem = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK516,sK517,sK518]),skolemize(X0,sK516),skolemize(X1,sK517),skolemize(X2,sK518)],[f1782]) ).
thf(f2312,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( breln @ X2 @ X1
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
= $true )
| ( setOfPairsIsBReln != $true ) ),
inference(cnf_transformation,[],[f1378]) ).
thf(f2470,plain,
( breln1compset
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y3: $i,Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ ( kpair @ Y3 @ Y5 ) @ Y1 )
& ( in @ Y5 @ Y0 )
& ( in @ ( kpair @ Y5 @ Y4 ) @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f878]) ).
thf(f2573,plain,
( breln1
= ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f462]) ).
thf(f2942,plain,
setOfPairsIsBReln = $true,
inference(cnf_transformation,[],[f1783]) ).
thf(f3143,plain,
( ( breln1 @ sK517 @ ( breln1compset @ sK517 @ sK516 @ sK518 ) )
!= $true ),
inference(cnf_transformation,[],[f1783]) ).
thf(f3812,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f843]) ).
thf(f3841,plain,
( breln1
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
@ Y0
@ Y0
@ Y1 ) ) ),
inference(definition_unfolding,[],[f2573,f3812]) ).
thf(f3923,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( $true != $true )
| ( $true
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
@ X2
@ X1
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f2312,f3812,f2942]) ).
thf(f4488,plain,
( ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
@ Y0
@ Y0
@ Y1 )
@ sK517
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y3: $i,Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ ( kpair @ Y3 @ Y5 ) @ Y1 )
& ( in @ Y5 @ Y0 )
& ( in @ ( kpair @ Y5 @ Y4 ) @ Y2 ) ) ) )
@ sK517
@ sK516
@ sK518 ) )
!= $true ),
inference(definition_unfolding,[],[f3143,f3841,f2470]) ).
thf(f5306,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
@ X2
@ X1
@ ( dpsetconstr @ X2 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ),
inference(trivial_inequality_removal,[],[f3923]) ).
thf(f5307,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( subset @ ( dpsetconstr @ X2 @ X1 @ X0 ) @ ( cartprod @ X2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f5306]) ).
thf(f5762,plain,
( ( subset
@ ( dpsetconstr @ sK517 @ sK517
@ ^ [Y0: $i,Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y0 @ Y2 ) @ sK516 )
& ( in @ Y2 @ sK517 )
& ( in @ ( kpair @ Y2 @ Y1 ) @ sK518 ) ) ) )
@ ( cartprod @ sK517 @ sK517 ) )
!= $true ),
inference(beta-eta_normalization,[],[f4488]) ).
thf(f6167,plain,
$false,
inference(forward_subsumption_resolution,[],[f5762,f5307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU778^1 : 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 : n006.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 14:27:40 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
% 0.26/0.30 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
% 0.35/0.46 % (800805)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.46 % (800818)lrs+10_16_si=on:nwc=1.5:random_seed=2287739509:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.35/0.46 % (800823)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.46 % (800823)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
% 0.35/0.46 % (800818)Instruction limit reached!
% 0.35/0.46 % (800818)------------------------------
% 0.35/0.46 % (800818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (800818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (800818)CaDiCaL version: 2.1.3
% 0.35/0.46 % (800818)Termination reason: Instruction limit
% 0.35/0.46 % (800818)Termination phase: shuffling
% 0.35/0.46 % (800818)Time elapsed: 0.005 s
% 0.35/0.46 % (800818)Peak memory usage: 10 MB
% 0.35/0.46 % (800818)Instructions burned: 21 (million)
% 0.35/0.46 % (800817)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1730731290:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.35/0.46 % (800821)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=849569774:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.35/0.46 % (800819)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2095219029:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.35/0.46 % (800823)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=2770354378:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.35/0.46 % (800820)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=1844249443: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)
% 0.35/0.46 % (800822)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2584317432:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.46 % (800819)Instruction limit reached!
% 0.35/0.46 % (800819)------------------------------
% 0.35/0.46 % (800819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (800819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (800819)CaDiCaL version: 2.1.3
% 0.35/0.46 % (800819)Termination reason: Instruction limit
% 0.35/0.46 % (800819)Termination phase: shuffling
% 0.35/0.46 % (800819)Time elapsed: 0.002 s
% 0.35/0.46 % (800819)Peak memory usage: 10 MB
% 0.35/0.46 % (800819)Instructions burned: 3 (million)
% 0.35/0.46 % (800834)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3224727184:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.46 % (800821)Instruction limit reached!
% 0.35/0.46 % (800821)------------------------------
% 0.35/0.46 % (800821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (800821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (800821)CaDiCaL version: 2.1.3
% 0.35/0.46 % (800821)Termination reason: Instruction limit
% 0.35/0.46 % (800821)Termination phase: shuffling
% 0.35/0.46 % (800821)Time elapsed: 0.011 s
% 0.35/0.46 % (800821)Peak memory usage: 10 MB
% 0.35/0.46 % (800821)Instructions burned: 24 (million)
% 0.35/0.46 % (800834)Instruction limit reached!
% 0.35/0.46 % (800834)------------------------------
% 0.35/0.46 % (800834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (800834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (800834)CaDiCaL version: 2.1.3
% 0.35/0.46 % (800834)Termination reason: Instruction limit
% 0.35/0.46 % (800834)Termination phase: shuffling
% 0.35/0.46 % (800834)Time elapsed: 0.001 s
% 0.35/0.46 % (800834)Peak memory usage: 10 MB
% 0.35/0.46 % (800834)Instructions burned: 3 (million)
% 0.35/0.46 % (800847)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.46 % (800842)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1944660717:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.00/0.49 % (800847)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1967024169:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.00/0.49 % (800847)Instruction limit reached!
% 1.00/0.49 % (800847)------------------------------
% 1.00/0.49 % (800847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800847)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800847)Termination reason: Instruction limit
% 1.00/0.49 % (800847)Termination phase: shuffling
% 1.00/0.49 % (800847)Time elapsed: 0.002 s
% 1.00/0.49 % (800847)Peak memory usage: 10 MB
% 1.00/0.49 % (800847)Instructions burned: 8 (million)
% 1.00/0.49 % (800842)Instruction limit reached!
% 1.00/0.49 % (800842)------------------------------
% 1.00/0.49 % (800842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800842)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800842)Termination reason: Instruction limit
% 1.00/0.49 % (800842)Termination phase: shuffling
% 1.00/0.49 % (800842)Time elapsed: 0.004 s
% 1.00/0.49 % (800842)Peak memory usage: 10 MB
% 1.00/0.49 % (800842)Instructions burned: 7 (million)
% 1.00/0.49 % (800848)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3285313682:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.00/0.49 % (800857)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.00/0.49 % (800857)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.49 % (800822)Instruction limit reached!
% 1.00/0.49 % (800822)------------------------------
% 1.00/0.49 % (800822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800822)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800822)Termination reason: Instruction limit
% 1.00/0.49 % (800822)Termination phase: Preprocessing 3
% 1.00/0.49 % (800822)Time elapsed: 0.035 s
% 1.00/0.49 % (800822)Peak memory usage: 12 MB
% 1.00/0.49 % (800822)Instructions burned: 75 (million)
% 1.00/0.49 % (800857)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3464686693:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.00/0.49 % (800848)Instruction limit reached!
% 1.00/0.49 % (800848)------------------------------
% 1.00/0.49 % (800848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800848)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800848)Termination reason: Instruction limit
% 1.00/0.49 % (800848)Termination phase: shuffling
% 1.00/0.49 % (800848)Time elapsed: 0.006 s
% 1.00/0.49 % (800848)Peak memory usage: 10 MB
% 1.00/0.49 % (800848)Instructions burned: 13 (million)
% 1.00/0.49 % (800817)Instruction limit reached!
% 1.00/0.49 % (800817)------------------------------
% 1.00/0.49 % (800817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800817)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800817)Termination reason: Instruction limit
% 1.00/0.49 % (800817)Termination phase: Preprocessing 3
% 1.00/0.49 % (800817)Time elapsed: 0.040 s
% 1.00/0.49 % (800817)Peak memory usage: 12 MB
% 1.00/0.49 % (800817)Instructions burned: 87 (million)
% 1.00/0.49 % (800857)Instruction limit reached!
% 1.00/0.49 % (800857)------------------------------
% 1.00/0.49 % (800857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.49 % (800857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.49 % (800857)CaDiCaL version: 2.1.3
% 1.00/0.49 % (800857)Termination reason: Instruction limit
% 1.00/0.49 % (800857)Termination phase: shuffling
% 1.00/0.49 % (800857)Time elapsed: 0.007 s
% 1.00/0.49 % (800857)Peak memory usage: 11 MB
% 1.00/0.49 % (800857)Instructions burned: 31 (million)
% 1.00/0.52 % (800858)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=4112359095:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.00/0.52 % (800869)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.00/0.52 % (800865)lrs+10_1_si=on:cs=on:random_seed=1422602823:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.00/0.52 % (800875)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3236502524:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.00/0.52 % (800869)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=1837579614:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.52 % (800871)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4092981277:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.00/0.52 % (800865)Instruction limit reached!
% 1.00/0.52 % (800865)------------------------------
% 1.00/0.52 % (800865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52 % (800865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52 % (800865)CaDiCaL version: 2.1.3
% 1.00/0.52 % (800865)Termination reason: Instruction limit
% 1.00/0.52 % (800865)Termination phase: shuffling
% 1.00/0.52 % (800865)Time elapsed: 0.005 s
% 1.00/0.52 % (800865)Peak memory usage: 10 MB
% 1.00/0.52 % (800865)Instructions burned: 11 (million)
% 1.00/0.52 % (800869)Instruction limit reached!
% 1.00/0.52 % (800869)------------------------------
% 1.00/0.52 % (800869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52 % (800869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52 % (800869)CaDiCaL version: 2.1.3
% 1.00/0.52 % (800869)Termination reason: Instruction limit
% 1.00/0.52 % (800869)Termination phase: shuffling
% 1.00/0.52 % (800869)Time elapsed: 0.003 s
% 1.00/0.52 % (800869)Peak memory usage: 10 MB
% 1.00/0.52 % (800869)Instructions burned: 6 (million)
% 1.00/0.52 % (800823)Instruction limit reached!
% 1.00/0.52 % (800823)------------------------------
% 1.00/0.52 % (800823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52 % (800823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52 % (800823)CaDiCaL version: 2.1.3
% 1.00/0.52 % (800823)Termination reason: Instruction limit
% 1.00/0.52 % (800823)Termination phase: Property scanning
% 1.00/0.52 % (800823)Time elapsed: 0.066 s
% 1.00/0.52 % (800823)Peak memory usage: 13 MB
% 1.00/0.52 % (800823)Instructions burned: 157 (million)
% 1.00/0.52 % (800871)Instruction limit reached!
% 1.00/0.52 % (800871)------------------------------
% 1.00/0.52 % (800871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52 % (800871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52 % (800871)CaDiCaL version: 2.1.3
% 1.00/0.52 % (800871)Termination reason: Instruction limit
% 1.00/0.52 % (800871)Termination phase: Property scanning
% 1.00/0.52 % (800871)Time elapsed: 0.017 s
% 1.00/0.52 % (800871)Peak memory usage: 11 MB
% 1.00/0.52 % (800871)Instructions burned: 39 (million)
% 1.00/0.52 % (800885)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3397063104:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.00/0.52 % (800886)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=422727264:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.52 % (800858)Instruction limit reached!
% 1.00/0.52 % (800858)------------------------------
% 1.00/0.52 % (800858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52 % (800858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52 % (800858)CaDiCaL version: 2.1.3
% 1.00/0.52 % (800858)Termination reason: Instruction limit
% 1.00/0.52 % (800858)Termination phase: Property scanning
% 1.00/0.52 % (800858)Time elapsed: 0.036 s
% 1.00/0.52 % (800858)Peak memory usage: 12 MB
% 1.00/0.52 % (800858)Instructions burned: 88 (million)
% 1.00/0.52 % (800889)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2847393321:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.76/0.60 % (800886)Instruction limit reached!
% 1.76/0.60 % (800886)------------------------------
% 1.76/0.60 % (800886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (800886)CaDiCaL version: 2.1.3
% 1.76/0.60 % (800886)Termination reason: Instruction limit
% 1.76/0.60 % (800886)Termination phase: shuffling
% 1.76/0.60 % (800886)Time elapsed: 0.007 s
% 1.76/0.60 % (800886)Peak memory usage: 10 MB
% 1.76/0.60 % (800886)Instructions burned: 15 (million)
% 1.76/0.60 % (800885)Instruction limit reached!
% 1.76/0.60 % (800885)------------------------------
% 1.76/0.60 % (800885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (800885)CaDiCaL version: 2.1.3
% 1.76/0.60 % (800885)Termination reason: Instruction limit
% 1.76/0.60 % (800885)Termination phase: shuffling
% 1.76/0.60 % (800885)Time elapsed: 0.014 s
% 1.76/0.60 % (800885)Peak memory usage: 11 MB
% 1.76/0.60 % (800885)Instructions burned: 31 (million)
% 1.76/0.60 % (800893)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1674041741:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.76/0.60 % (800893)Instruction limit reached!
% 1.76/0.60 % (800893)------------------------------
% 1.76/0.60 % (800893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (800893)CaDiCaL version: 2.1.3
% 1.76/0.60 % (800893)Termination reason: Instruction limit
% 1.76/0.60 % (800893)Termination phase: shuffling
% 1.76/0.60 % (800893)Time elapsed: 0.007 s
% 1.76/0.60 % (800893)Peak memory usage: 11 MB
% 1.76/0.60 % (800893)Instructions burned: 16 (million)
% 1.76/0.60 % (800901)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2002443074: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)
% 1.76/0.60 % (800901)Instruction limit reached!
% 1.76/0.60 % (800901)------------------------------
% 1.76/0.60 % (800901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (800901)CaDiCaL version: 2.1.3
% 1.76/0.60 % (800901)Termination reason: Instruction limit
% 1.76/0.60 % (800901)Termination phase: shuffling
% 1.76/0.60 % (800901)Time elapsed: 0.002 s
% 1.76/0.60 % (800901)Peak memory usage: 10 MB
% 1.76/0.60 % (800901)Instructions burned: 3 (million)
% 1.76/0.60 % (800905)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2591505459:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.76/0.60 % (800875)Instruction limit reached!
% 1.76/0.60 % (800875)------------------------------
% 1.76/0.60 % (800875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (800875)CaDiCaL version: 2.1.3
% 1.76/0.60 % (800875)Termination reason: Instruction limit
% 1.76/0.60 % (800875)Termination phase: Saturation
% 1.76/0.60 % (800875)Time elapsed: 0.056 s
% 1.76/0.60 % (800875)Peak memory usage: 15 MB
% 1.76/0.60 % (800875)Instructions burned: 252 (million)
% 1.76/0.60 % (800909)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=508904509:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.76/0.60 % (800919)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
% 1.76/0.60 % (800919)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.76/0.60 % (800925)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.76/0.60 % (800905)Instruction limit reached!
% 1.76/0.60 % (800905)------------------------------
% 1.76/0.60 % (800905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (800905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800905)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800905)Termination reason: Instruction limit
% 2.12/0.65 % (800905)Termination phase: shuffling
% 2.12/0.65 % (800905)Time elapsed: 0.012 s
% 2.12/0.65 % (800905)Peak memory usage: 11 MB
% 2.12/0.65 % (800905)Instructions burned: 26 (million)
% 2.12/0.65 % (800915)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1359485199:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.12/0.65 % (800925)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=1662271982:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.12/0.65 % (800909)Instruction limit reached!
% 2.12/0.65 % (800909)------------------------------
% 2.12/0.65 % (800909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (800909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800909)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800909)Termination reason: Instruction limit
% 2.12/0.65 % (800909)Termination phase: shuffling
% 2.12/0.65 % (800909)Time elapsed: 0.010 s
% 2.12/0.65 % (800909)Peak memory usage: 10 MB
% 2.12/0.65 % (800909)Instructions burned: 23 (million)
% 2.12/0.65 % (800919)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=2612993234:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.12/0.65 % (800925)Instruction limit reached!
% 2.12/0.65 % (800925)------------------------------
% 2.12/0.65 % (800925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (800925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800925)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800925)Termination reason: Instruction limit
% 2.12/0.65 % (800925)Termination phase: shuffling
% 2.12/0.65 % (800925)Time elapsed: 0.003 s
% 2.12/0.65 % (800925)Peak memory usage: 10 MB
% 2.12/0.65 % (800925)Instructions burned: 12 (million)
% 2.12/0.65 % (800919)Instruction limit reached!
% 2.12/0.65 % (800919)------------------------------
% 2.12/0.65 % (800919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (800919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800919)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800919)Termination reason: Instruction limit
% 2.12/0.65 % (800919)Termination phase: shuffling
% 2.12/0.65 % (800919)Time elapsed: 0.007 s
% 2.12/0.65 % (800919)Peak memory usage: 10 MB
% 2.12/0.65 % (800919)Instructions burned: 16 (million)
% 2.12/0.65 % (800935)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2075729961:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.12/0.65 % (800929)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=3301404093:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.12/0.65 % (800932)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=714272414:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.12/0.65 % (800935)Instruction limit reached!
% 2.12/0.65 % (800935)------------------------------
% 2.12/0.65 % (800935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (800935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800935)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800935)Termination reason: Instruction limit
% 2.12/0.65 % (800935)Termination phase: shuffling
% 2.12/0.65 % (800935)Time elapsed: 0.006 s
% 2.12/0.65 % (800935)Peak memory usage: 11 MB
% 2.12/0.65 % (800935)Instructions burned: 27 (million)
% 2.12/0.65 % (800932)Instruction limit reached!
% 2.12/0.65 % (800932)------------------------------
% 2.12/0.65 % (800932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (800932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (800932)CaDiCaL version: 2.1.3
% 2.12/0.65 % (800932)Termination reason: Instruction limit
% 2.12/0.65 % (800932)Termination phase: shuffling
% 2.12/0.65 % (800932)Time elapsed: 0.004 s
% 2.12/0.65 % (800932)Peak memory usage: 10 MB
% 2.12/0.65 % (800932)Instructions burned: 8 (million)
% 2.12/0.65 % (800915)Instruction limit reached!
% 2.12/0.65 % (800915)------------------------------
% 2.54/0.71 % (800915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.71 % (800915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.71 % (800915)CaDiCaL version: 2.1.3
% 2.54/0.71 % (800915)Termination reason: Instruction limit
% 2.54/0.71 % (800915)Termination phase: Preprocessing 3
% 2.54/0.71 % (800915)Time elapsed: 0.028 s
% 2.54/0.71 % (800915)Peak memory usage: 12 MB
% 2.54/0.71 % (800915)Instructions burned: 62 (million)
% 2.54/0.71 % (800939)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4044438957:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.54/0.71 % (800945)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2197094459:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.54/0.71 % (800929)Instruction limit reached!
% 2.54/0.71 % (800929)------------------------------
% 2.54/0.71 % (800929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.71 % (800929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.71 % (800929)CaDiCaL version: 2.1.3
% 2.54/0.71 % (800929)Termination reason: Instruction limit
% 2.54/0.71 % (800929)Termination phase: shuffling
% 2.54/0.71 % (800929)Time elapsed: 0.014 s
% 2.54/0.71 % (800929)Peak memory usage: 11 MB
% 2.54/0.71 % (800929)Instructions burned: 31 (million)
% 2.54/0.71 % (800939)Instruction limit reached!
% 2.54/0.71 % (800939)------------------------------
% 2.54/0.71 % (800939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.71 % (800939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.71 % (800939)CaDiCaL version: 2.1.3
% 2.54/0.71 % (800939)Termination reason: Instruction limit
% 2.54/0.71 % (800939)Termination phase: shuffling
% 2.54/0.71 % (800939)Time elapsed: 0.011 s
% 2.54/0.71 % (800939)Peak memory usage: 11 MB
% 2.54/0.71 % (800939)Instructions burned: 24 (million)
% 2.54/0.71 % (800948)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1113166847:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.54/0.71 % (800949)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=114090898:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.54/0.71 % (800954)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=502967550:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.54/0.71 % (800958)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.54/0.71 % (800958)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2559516121:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.54/0.71 % (800958)Instruction limit reached!
% 2.54/0.71 % (800958)------------------------------
% 2.54/0.71 % (800958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.71 % (800958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.71 % (800958)CaDiCaL version: 2.1.3
% 2.54/0.71 % (800958)Termination reason: Instruction limit
% 2.54/0.71 % (800958)Termination phase: shuffling
% 2.54/0.71 % (800958)Time elapsed: 0.004 s
% 2.54/0.71 % (800958)Peak memory usage: 10 MB
% 2.54/0.71 % (800958)Instructions burned: 8 (million)
% 2.54/0.71 % (800954)Instruction limit reached!
% 2.54/0.71 % (800954)------------------------------
% 2.54/0.71 % (800954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.71 % (800954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.71 % (800954)CaDiCaL version: 2.1.3
% 2.54/0.71 % (800954)Termination reason: Instruction limit
% 2.54/0.71 % (800954)Termination phase: shuffling
% 2.54/0.71 % (800954)Time elapsed: 0.019 s
% 2.54/0.71 % (800954)Peak memory usage: 11 MB
% 2.54/0.71 % (800954)Instructions burned: 42 (million)
% 2.54/0.71 % (800973)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2016531332:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.54/0.71 % (800974)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=3480967462: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)
% 3.07/0.80 % (800889)Instruction limit reached!
% 3.07/0.80 % (800889)------------------------------
% 3.07/0.80 % (800889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.80 % (800889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.80 % (800889)CaDiCaL version: 2.1.3
% 3.07/0.80 % (800889)Termination reason: Instruction limit
% 3.07/0.80 % (800889)Termination phase: Saturation
% 3.07/0.80 % (800889)Time elapsed: 0.141 s
% 3.07/0.80 % (800889)Peak memory usage: 16 MB
% 3.07/0.80 % (800889)Instructions burned: 328 (million)
% 3.07/0.80 % (800948)Instruction limit reached!
% 3.07/0.80 % (800948)------------------------------
% 3.07/0.80 % (800948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.80 % (800948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.80 % (800948)CaDiCaL version: 2.1.3
% 3.07/0.80 % (800948)Termination reason: Instruction limit
% 3.07/0.80 % (800948)Termination phase: Twee Goal Transformation
% 3.07/0.80 % (800948)Time elapsed: 0.060 s
% 3.07/0.80 % (800948)Peak memory usage: 12 MB
% 3.07/0.80 % (800948)Instructions burned: 144 (million)
% 3.07/0.80 % (800986)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.07/0.80 % (800986)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2867082740:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 3.07/0.80 % (800987)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=255123122:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 3.07/0.80 % (800949)Instruction limit reached!
% 3.07/0.80 % (800949)------------------------------
% 3.07/0.80 % (800949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.80 % (800949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.80 % (800949)CaDiCaL version: 2.1.3
% 3.07/0.80 % (800949)Termination reason: Instruction limit
% 3.07/0.80 % (800949)Termination phase: Property scanning
% 3.07/0.80 % (800949)Time elapsed: 0.080 s
% 3.07/0.80 % (800949)Peak memory usage: 12 MB
% 3.07/0.80 % (800949)Instructions burned: 193 (million)
% 3.07/0.80 % (800986)Instruction limit reached!
% 3.07/0.80 % (800986)------------------------------
% 3.07/0.80 % (800986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.80 % (800986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.80 % (800986)CaDiCaL version: 2.1.3
% 3.07/0.80 % (800986)Termination reason: Instruction limit
% 3.07/0.80 % (800986)Termination phase: shuffling
% 3.07/0.80 % (800986)Time elapsed: 0.003 s
% 3.07/0.80 % (800986)Peak memory usage: 10 MB
% 3.07/0.80 % (800986)Instructions burned: 6 (million)
% 3.07/0.80 % (800987)Instruction limit reached!
% 3.07/0.80 % (800987)------------------------------
% 3.07/0.80 % (800987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.80 % (800987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.80 % (800987)CaDiCaL version: 2.1.3
% 3.07/0.80 % (800987)Termination reason: Instruction limit
% 3.07/0.80 % (800987)Termination phase: shuffling
% 3.07/0.80 % (800987)Time elapsed: 0.011 s
% 3.07/0.80 % (800987)Peak memory usage: 10 MB
% 3.07/0.80 % (800987)Instructions burned: 24 (million)
% 3.07/0.81 % (801000)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2257302982:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.07/0.81 % (801001)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=3818166636:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.07/0.81 % (801000)Instruction limit reached!
% 3.07/0.81 % (801000)------------------------------
% 3.07/0.81 % (801000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.81 % (801000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.81 % (801000)CaDiCaL version: 2.1.3
% 3.07/0.81 % (801000)Termination reason: Instruction limit
% 3.07/0.81 % (801000)Termination phase: shuffling
% 3.07/0.81 % (801000)Time elapsed: 0.009 s
% 3.07/0.81 % (801000)Peak memory usage: 10 MB
% 3.07/0.81 % (801000)Instructions burned: 19 (million)
% 3.07/0.81 % (801002)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=3435861006: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)
% 3.07/0.88 % (800973)Instruction limit reached!
% 3.07/0.88 % (800973)------------------------------
% 3.07/0.88 % (800973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.88 % (800973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.88 % (800973)CaDiCaL version: 2.1.3
% 3.07/0.88 % (800973)Termination reason: Instruction limit
% 3.07/0.88 % (800973)Termination phase: Saturation
% 3.07/0.88 % (800973)Time elapsed: 0.075 s
% 3.07/0.88 % (800973)Peak memory usage: 13 MB
% 3.07/0.88 % (800973)Instructions burned: 183 (million)
% 3.07/0.88 % (800974)Instruction limit reached!
% 3.07/0.88 % (800974)------------------------------
% 3.07/0.88 % (800974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.88 % (800974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.88 % (800974)CaDiCaL version: 2.1.3
% 3.07/0.88 % (800974)Termination reason: Instruction limit
% 3.07/0.88 % (800974)Termination phase: Property scanning
% 3.07/0.88 % (800974)Time elapsed: 0.071 s
% 3.07/0.88 % (800974)Peak memory usage: 13 MB
% 3.07/0.88 % (800974)Instructions burned: 171 (million)
% 3.07/0.88 % (801013)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=2330673001: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)
% 3.07/0.88 % (801017)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3095990759:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.07/0.88 % (801019)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3986663655: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)
% 3.07/0.88 % (801019)Instruction limit reached!
% 3.07/0.88 % (801019)------------------------------
% 3.07/0.88 % (801019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.88 % (801019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.88 % (801019)CaDiCaL version: 2.1.3
% 3.07/0.88 % (801019)Termination reason: Instruction limit
% 3.07/0.88 % (801019)Termination phase: shuffling
% 3.07/0.88 % (801019)Time elapsed: 0.010 s
% 3.07/0.88 % (801019)Peak memory usage: 10 MB
% 3.07/0.88 % (801019)Instructions burned: 21 (million)
% 3.07/0.88 % (801013)Instruction limit reached!
% 3.07/0.88 % (801013)------------------------------
% 3.07/0.88 % (801013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.88 % (801013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.88 % (801013)CaDiCaL version: 2.1.3
% 3.07/0.88 % (801013)Termination reason: Instruction limit
% 3.07/0.88 % (801013)Termination phase: shuffling
% 3.07/0.88 % (801013)Time elapsed: 0.019 s
% 3.07/0.88 % (801013)Peak memory usage: 11 MB
% 3.07/0.88 % (801013)Instructions burned: 45 (million)
% 3.07/0.88 % (800820)Instruction limit reached!
% 3.07/0.88 % (800820)------------------------------
% 3.07/0.88 % (800820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.88 % (800820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.88 % (800820)CaDiCaL version: 2.1.3
% 3.07/0.88 % (800820)Termination reason: Instruction limit
% 3.07/0.88 % (800820)Termination phase: Saturation
% 3.07/0.88 % (800820)Time elapsed: 0.321 s
% 3.07/0.88 % (800820)Peak memory usage: 21 MB
% 3.07/0.88 % (800820)Instructions burned: 635 (million)
% 3.07/0.88 % (801042)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.07/0.88 % (801042)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4186288574:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.07/0.88 % (801045)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=793817311:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.07/0.88 % (801049)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=3495435578:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.61/0.98 % (801045)Instruction limit reached!
% 3.61/0.98 % (801045)------------------------------
% 3.61/0.98 % (801045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801045)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801045)Termination reason: Instruction limit
% 3.61/0.98 % (801045)Termination phase: shuffling
% 3.61/0.98 % (801045)Time elapsed: 0.006 s
% 3.61/0.98 % (801045)Peak memory usage: 10 MB
% 3.61/0.98 % (801045)Instructions burned: 13 (million)
% 3.61/0.98 % (801059)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4045842957:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.61/0.98 % (801049)Instruction limit reached!
% 3.61/0.98 % (801049)------------------------------
% 3.61/0.98 % (801049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801049)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801049)Termination reason: Instruction limit
% 3.61/0.98 % (801049)Termination phase: Property scanning
% 3.61/0.98 % (801049)Time elapsed: 0.028 s
% 3.61/0.98 % (801049)Peak memory usage: 11 MB
% 3.61/0.98 % (801049)Instructions burned: 67 (million)
% 3.61/0.98 % (801062)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=625085017:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.61/0.98 % (801059)Instruction limit reached!
% 3.61/0.98 % (801059)------------------------------
% 3.61/0.98 % (801059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801059)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801059)Termination reason: Instruction limit
% 3.61/0.98 % (801059)Termination phase: Property scanning
% 3.61/0.98 % (801059)Time elapsed: 0.023 s
% 3.61/0.98 % (801059)Peak memory usage: 11 MB
% 3.61/0.98 % (801059)Instructions burned: 53 (million)
% 3.61/0.98 % (801062)Instruction limit reached!
% 3.61/0.98 % (801062)------------------------------
% 3.61/0.98 % (801062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801062)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801062)Termination reason: Instruction limit
% 3.61/0.98 % (801062)Termination phase: shuffling
% 3.61/0.98 % (801062)Time elapsed: 0.014 s
% 3.61/0.98 % (801062)Peak memory usage: 11 MB
% 3.61/0.98 % (801062)Instructions burned: 31 (million)
% 3.61/0.98 % (801001)Instruction limit reached!
% 3.61/0.98 % (801001)------------------------------
% 3.61/0.98 % (801001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801001)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801001)Termination reason: Instruction limit
% 3.61/0.98 % (801001)Termination phase: Saturation
% 3.61/0.98 % (801001)Time elapsed: 0.137 s
% 3.61/0.98 % (801001)Peak memory usage: 16 MB
% 3.61/0.98 % (801001)Instructions burned: 317 (million)
% 3.61/0.98 % (801064)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=634874018:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.61/0.98 % (801042)Instruction limit reached!
% 3.61/0.98 % (801042)------------------------------
% 3.61/0.98 % (801042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.98 % (801042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.98 % (801042)CaDiCaL version: 2.1.3
% 3.61/0.98 % (801042)Termination reason: Instruction limit
% 3.61/0.98 % (801042)Termination phase: Saturation
% 3.61/0.98 % (801042)Time elapsed: 0.084 s
% 3.61/0.98 % (801042)Peak memory usage: 14 MB
% 3.61/0.98 % (801042)Instructions burned: 201 (million)
% 3.61/0.98 % (801065)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=3334915502:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.61/0.98 % (801067)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=332262194:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.61/0.98 % (801068)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.51/1.15 % (801068)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4140597207:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.51/1.15 % (801065)Instruction limit reached!
% 5.51/1.15 % (801065)------------------------------
% 5.51/1.15 % (801065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (801065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (801065)CaDiCaL version: 2.1.3
% 5.51/1.15 % (801065)Termination reason: Instruction limit
% 5.51/1.15 % (801065)Termination phase: shuffling
% 5.51/1.15 % (801065)Time elapsed: 0.015 s
% 5.51/1.15 % (801065)Peak memory usage: 11 MB
% 5.51/1.15 % (801065)Instructions burned: 34 (million)
% 5.51/1.15 % (801067)Instruction limit reached!
% 5.51/1.15 % (801067)------------------------------
% 5.51/1.15 % (801067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (801067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (801067)CaDiCaL version: 2.1.3
% 5.51/1.15 % (801067)Termination reason: Instruction limit
% 5.51/1.15 % (801067)Termination phase: Property scanning
% 5.51/1.15 % (801067)Time elapsed: 0.029 s
% 5.51/1.15 % (801067)Peak memory usage: 11 MB
% 5.51/1.15 % (801067)Instructions burned: 67 (million)
% 5.51/1.15 % (801072)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3599705591:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.51/1.15 % (800945)Instruction limit reached!
% 5.51/1.15 % (800945)------------------------------
% 5.51/1.15 % (800945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (800945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (800945)CaDiCaL version: 2.1.3
% 5.51/1.15 % (800945)Termination reason: Instruction limit
% 5.51/1.15 % (800945)Termination phase: Saturation
% 5.51/1.15 % (800945)Time elapsed: 0.303 s
% 5.51/1.15 % (800945)Peak memory usage: 19 MB
% 5.51/1.15 % (800945)Instructions burned: 1240 (million)
% 5.51/1.15 % (801017)Refutation not found, incomplete strategy
% 5.51/1.15 % (801017)------------------------------
% 5.51/1.15 % (801017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (801017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (801017)CaDiCaL version: 2.1.3
% 5.51/1.15 % (801017)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.15 % (801017)Time elapsed: 0.157 s
% 5.51/1.15 % (801017)Peak memory usage: 18 MB
% 5.51/1.15 % (801017)Instructions burned: 331 (million)
% 5.51/1.15 % (801017)------------------------------
% 5.51/1.15 % (801017)------------------------------
% 5.51/1.15 % (801064)Instruction limit reached!
% 5.51/1.15 % (801064)------------------------------
% 5.51/1.15 % (801064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (801064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (801064)CaDiCaL version: 2.1.3
% 5.51/1.15 % (801064)Termination reason: Instruction limit
% 5.51/1.15 % (801064)Termination phase: Twee Goal Transformation
% 5.51/1.15 % (801064)Time elapsed: 0.058 s
% 5.51/1.15 % (801064)Peak memory usage: 12 MB
% 5.51/1.15 % (801064)Instructions burned: 137 (million)
% 5.51/1.15 % (801075)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1005377206:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.51/1.15 % (801074)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1738374239:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.51/1.15 % (801076)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1636542696:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.51/1.15 % (801077)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3398004958:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.51/1.15 % (801068)Instruction limit reached!
% 5.51/1.15 % (801068)------------------------------
% 5.51/1.15 % (801068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.15 % (801068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.15 % (801068)CaDiCaL version: 2.1.3
% 5.51/1.15 % (801068)Termination reason: Instruction limit
% 5.51/1.15 % (801068)Termination phase: Saturation
% 5.51/1.15 % (801068)Time elapsed: 0.073 s
% 5.51/1.15 % (801068)Peak memory usage: 13 MB
% 5.51/1.16 % (801068)Instructions burned: 182 (million)
% 5.51/1.16 % (801074)Instruction limit reached!
% 5.51/1.16 % (801074)------------------------------
% 5.51/1.16 % (801074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801074)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801074)Termination reason: Instruction limit
% 5.51/1.16 % (801074)Termination phase: Property scanning
% 5.51/1.16 % (801074)Time elapsed: 0.041 s
% 5.51/1.16 % (801074)Peak memory usage: 12 MB
% 5.51/1.16 % (801074)Instructions burned: 98 (million)
% 5.51/1.16 % (801082)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3702194953:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.51/1.16 % (801083)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=873322887:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.51/1.16 % (801083)Instruction limit reached!
% 5.51/1.16 % (801083)------------------------------
% 5.51/1.16 % (801083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801083)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801083)Termination reason: Instruction limit
% 5.51/1.16 % (801083)Termination phase: shuffling
% 5.51/1.16 % (801083)Time elapsed: 0.020 s
% 5.51/1.16 % (801083)Peak memory usage: 11 MB
% 5.51/1.16 % (801083)Instructions burned: 45 (million)
% 5.51/1.16 % (801072)Instruction limit reached!
% 5.51/1.16 % (801072)------------------------------
% 5.51/1.16 % (801072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801072)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801072)Termination reason: Instruction limit
% 5.51/1.16 % (801072)Termination phase: Saturation
% 5.51/1.16 % (801072)Time elapsed: 0.103 s
% 5.51/1.16 % (801072)Peak memory usage: 14 MB
% 5.51/1.16 % (801072)Instructions burned: 247 (million)
% 5.51/1.16 % (801075)Instruction limit reached!
% 5.51/1.16 % (801075)------------------------------
% 5.51/1.16 % (801075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801075)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801075)Termination reason: Instruction limit
% 5.51/1.16 % (801075)Termination phase: Saturation
% 5.51/1.16 % (801075)Time elapsed: 0.104 s
% 5.51/1.16 % (801075)Peak memory usage: 16 MB
% 5.51/1.16 % (801075)Instructions burned: 430 (million)
% 5.51/1.16 % (801086)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3641467148:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.51/1.16 % (801087)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2778011085:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.51/1.16 % (801082)Instruction limit reached!
% 5.51/1.16 % (801082)------------------------------
% 5.51/1.16 % (801082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801082)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801082)Termination reason: Instruction limit
% 5.51/1.16 % (801082)Termination phase: Property scanning
% 5.51/1.16 % (801082)Time elapsed: 0.053 s
% 5.51/1.16 % (801082)Peak memory usage: 12 MB
% 5.51/1.16 % (801082)Instructions burned: 131 (million)
% 5.51/1.16 % (801088)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=862742900:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.51/1.16 % (801091)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=3792905740:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.51/1.16 % (801088)Instruction limit reached!
% 5.51/1.16 % (801088)------------------------------
% 5.51/1.16 % (801088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801088)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801088)Termination reason: Instruction limit
% 5.51/1.16 % (801088)Termination phase: Property scanning
% 5.51/1.16 % (801088)Time elapsed: 0.021 s
% 5.51/1.16 % (801088)Peak memory usage: 12 MB
% 5.51/1.16 % (801088)Instructions burned: 96 (million)
% 5.51/1.16 % (801094)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=615341510: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_2993 on theBenchmark for (2993ds/105Mi)
% 5.51/1.16 % (801091)Instruction limit reached!
% 5.51/1.16 % (801091)------------------------------
% 5.51/1.16 % (801091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801091)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801091)Termination reason: Instruction limit
% 5.51/1.16 % (801091)Termination phase: Property scanning
% 5.51/1.16 % (801091)Time elapsed: 0.027 s
% 5.51/1.16 % (801091)Peak memory usage: 11 MB
% 5.51/1.16 % (801091)Instructions burned: 65 (million)
% 5.51/1.16 % (801096)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=2698129131:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.51/1.16 % (801094)Instruction limit reached!
% 5.51/1.16 % (801094)------------------------------
% 5.51/1.16 % (801094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801094)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801094)Termination reason: Instruction limit
% 5.51/1.16 % (801094)Termination phase: Property scanning
% 5.51/1.16 % (801094)Time elapsed: 0.045 s
% 5.51/1.16 % (801094)Peak memory usage: 12 MB
% 5.51/1.16 % (801094)Instructions burned: 107 (million)
% 5.51/1.16 % (801077)Instruction limit reached!
% 5.51/1.16 % (801077)------------------------------
% 5.51/1.16 % (801077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801077)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801077)Termination reason: Instruction limit
% 5.51/1.16 % (801077)Termination phase: Saturation
% 5.51/1.16 % (801077)Time elapsed: 0.192 s
% 5.51/1.16 % (801077)Peak memory usage: 17 MB
% 5.51/1.16 % (801077)Instructions burned: 517 (million)
% 5.51/1.16 % (801099)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3218600004:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.51/1.16 % (801098)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4108208791:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 5.51/1.16 % (801002)Instruction limit reached!
% 5.51/1.16 % (801002)------------------------------
% 5.51/1.16 % (801002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801002)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801002)Termination reason: Instruction limit
% 5.51/1.16 % (801002)Termination phase: Saturation
% 5.51/1.16 % (801002)Time elapsed: 0.434 s
% 5.51/1.16 % (801002)Peak memory usage: 23 MB
% 5.51/1.16 % (801002)Instructions burned: 854 (million)
% 5.51/1.16 % (801102)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=603516465:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.51/1.16 % (801102)Instruction limit reached!
% 5.51/1.16 % (801102)------------------------------
% 5.51/1.16 % (801102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801102)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801102)Termination reason: Instruction limit
% 5.51/1.16 % (801102)Termination phase: shuffling
% 5.51/1.16 % (801102)Time elapsed: 0.016 s
% 5.51/1.16 % (801102)Peak memory usage: 11 MB
% 5.51/1.16 % (801102)Instructions burned: 36 (million)
% 5.51/1.16 % (801104)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1396438729:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 5.51/1.16 % (801087)Instruction limit reached!
% 5.51/1.16 % (801087)------------------------------
% 5.51/1.16 % (801087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801087)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801087)Termination reason: Instruction limit
% 5.51/1.16 % (801087)Termination phase: Saturation
% 5.51/1.16 % (801087)Time elapsed: 0.193 s
% 5.51/1.16 % (801087)Peak memory usage: 19 MB
% 5.51/1.16 % (801087)Instructions burned: 450 (million)
% 5.51/1.16 % (801099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-800805-801099"...
% 5.51/1.16 % (801099)...printing done.
% 5.51/1.16 % (801099)Refutation found. Thanks to Tanya!
% 5.51/1.16 % SZS status Theorem for theBenchmark
% 5.51/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 5.51/1.16 % (801099)------------------------------
% 5.51/1.16 % (801099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.51/1.16 % (801099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.16 % (801099)CaDiCaL version: 2.1.3
% 5.51/1.16 % (801099)Termination reason: Refutation
% 5.51/1.16 % (801099)Time elapsed: 0.088 s
% 5.51/1.16 % (801099)Peak memory usage: 17 MB
% 5.51/1.16 % (801099)Instructions burned: 356 (million)
% 5.51/1.16 % (800805)Success in time 0.841 s
% 5.51/1.16 % Vampire exiting
%------------------------------------------------------------------------------