%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU792^1 : 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 : n019.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 08:31:24 AM UTC 2026
% Result : Theorem 5.96s 1.42s
% Output : Refutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 110 ( 29 unt; 0 typ; 4 def)
% Number of atoms : 5924 (1543 equ; 0 cnn)
% Maximal formula atoms : 312 ( 53 avg)
% Number of connectives : 3962 ( 181 ~; 169 |; 978 &;1346 @)
% ( 14 <=>;1274 =>; 0 <=; 0 <~>)
% Maximal formula depth : 319 ( 24 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 592 ( 589 usr; 363 con; 0-6 aty)
% Number of variables : 177 ( 0 sgn 139 !; 38 ?; 177 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_359,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_360,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_361,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_362,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_363,type,
vOR: $o > $o > $o ).
thf(func_def_364,type,
vAND: $o > $o > $o ).
thf(func_def_365,type,
vNOT: $o > $o ).
thf(func_def_366,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_367,type,
vIMP: $o > $o > $o ).
thf(func_def_368,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_369,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_370,type,
sP0: $o ).
thf(func_def_371,type,
sP1: $o ).
thf(func_def_372,type,
sP2: $o ).
thf(func_def_373,type,
sP3: $o ).
thf(func_def_374,type,
sP4: $o ).
thf(func_def_375,type,
sP5: $i > $i > $o ).
thf(func_def_376,type,
sP6: $i > $o ).
thf(func_def_377,type,
sP7: $i > $i > $o ).
thf(func_def_378,type,
sP8: $i > $i > $o ).
thf(func_def_379,type,
sP9: $o ).
thf(func_def_380,type,
sP10: $o ).
thf(func_def_381,type,
sP11: $i > $i > $i > $o > $o ).
thf(func_def_382,type,
sP12: $i > $i > $i > $o ).
thf(func_def_383,type,
sP13: $i > $i > $i > $o ).
thf(func_def_384,type,
sP14: $o ).
thf(func_def_385,type,
sP15: $o ).
thf(func_def_386,type,
sP16: $i > $i > $i > $i > $o ).
thf(func_def_387,type,
sP17: $o ).
thf(func_def_401,type,
sK31: $i > $i ).
thf(func_def_408,type,
sK38: $i > $o ).
thf(func_def_410,type,
sK40: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_411,type,
sK41: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_412,type,
sK42: $o ).
thf(func_def_439,type,
sK69: $i > $i > $i > $i ).
thf(func_def_440,type,
sK70: $i > $i > $i > $i ).
thf(func_def_444,type,
sK74: $i > $i > $i ).
thf(func_def_455,type,
sK85: $i > $i > $o ).
thf(func_def_458,type,
sK88: $i > $o ).
thf(func_def_459,type,
sK89: $i > $i ).
thf(func_def_460,type,
sK90: ( $i > $o ) > $i ).
thf(func_def_461,type,
sK91: $i > $i ).
thf(func_def_473,type,
sK103: $i > $o ).
thf(func_def_475,type,
sK105: ( $i > $o ) > $i > $i ).
thf(func_def_476,type,
sK106: ( $i > $o ) > $i > $i ).
thf(func_def_478,type,
sK108: $i > $i > $o ).
thf(func_def_480,type,
sK110: $i > $i ).
thf(func_def_481,type,
sK111: $i > $i ).
thf(func_def_482,type,
sK112: $i > ( $i > $i > $o ) > $i ).
thf(func_def_483,type,
sK113: $i > ( $i > $i > $o ) > $i ).
thf(func_def_484,type,
sK114: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_485,type,
sK115: $i > $i > $i > $i > $i ).
thf(func_def_490,type,
sK120: $i > ( $i > $o ) > $i ).
thf(func_def_491,type,
sK121: $i > $o ).
thf(func_def_497,type,
sK127: $o ).
thf(func_def_510,type,
sK140: $i > $i ).
thf(func_def_520,type,
sK150: $i > $o ).
thf(func_def_522,type,
sK152: ( $i > $o ) > $i > $i > $i ).
thf(func_def_523,type,
sK153: ( $i > $o ) > $i > $i > $i ).
thf(func_def_525,type,
sK155: $i > $i > $o ).
thf(func_def_528,type,
sK158: $i > $o ).
thf(func_def_530,type,
sK160: ( $i > $o ) > $i > $i ).
thf(func_def_547,type,
sK177: $i > $o ).
thf(func_def_549,type,
sK179: ( $i > $o ) > $i > $i ).
thf(func_def_555,type,
sK185: $i > $o ).
thf(func_def_612,type,
sK242: $o ).
thf(func_def_626,type,
sK256: $i > $o ).
thf(func_def_635,type,
sK265: $i > $o ).
thf(func_def_637,type,
sK267: ( $i > $o ) > $i ).
thf(func_def_638,type,
sK268: ( $i > $o ) > $i ).
thf(func_def_639,type,
sK269: $i > $i > ( $i > $i ) > $i ).
thf(func_def_640,type,
sK270: $i > $i ).
thf(func_def_643,type,
sK273: $i > $o ).
thf(func_def_646,type,
sK276: $i > ( $i > $o ) > $i ).
thf(func_def_647,type,
sK277: $i > ( $i > $o ) > $i ).
thf(func_def_664,type,
sK294: $o ).
thf(func_def_668,type,
sK298: $i > $i ).
thf(func_def_670,type,
sK300: $i > ( $i > $i ) > $i > $i ).
thf(func_def_671,type,
sK301: $i > ( $i > $o ) > $i ).
thf(func_def_672,type,
sK302: $i > $o ).
thf(func_def_679,type,
sK309: $i > $i > $o ).
thf(func_def_682,type,
sK312: $i > $o ).
thf(func_def_689,type,
sK319: $o ).
thf(func_def_692,type,
sK322: $o ).
thf(func_def_694,type,
sK324: ( $i > $o ) > $i ).
thf(func_def_695,type,
sK325: $i > $o ).
thf(func_def_696,type,
sK326: $i > $o ).
thf(func_def_711,type,
sK341: $i > $i > $i > $i > $i ).
thf(func_def_712,type,
sK342: $i > $i > $i > $i > $i ).
thf(func_def_715,type,
sK345: $i > $i > $i ).
thf(func_def_716,type,
sK346: $i > $i > $i ).
thf(func_def_719,type,
sK349: $i > $i > $i > $i ).
thf(func_def_741,type,
sK371: $o ).
thf(func_def_742,type,
sK372: $o > $i > $i > $i > $i > $i > $i ).
thf(func_def_750,type,
sK380: $i > $i ).
thf(func_def_752,type,
sK382: $i > ( $i > $i ) > $i > $i ).
thf(func_def_758,type,
sK388: $i > ( $i > $i ) > $i > $i ).
thf(func_def_760,type,
sK390: $i > $i ).
thf(func_def_768,type,
sK398: $i > $i > $i > $i > $i ).
thf(func_def_788,type,
sK418: $o ).
thf(func_def_818,type,
sK448: $i > $i > $i ).
thf(func_def_819,type,
sK449: $i > $i > $i ).
thf(func_def_820,type,
sK450: $i > $i > $i ).
thf(func_def_821,type,
sK451: $i > $i > $i ).
thf(func_def_822,type,
sK452: $i > $i > $i > $i ).
thf(func_def_823,type,
sK453: $i > $i ).
thf(func_def_824,type,
sK454: $i > $i ).
thf(func_def_825,type,
sK455: $i > $i ).
thf(func_def_826,type,
sK456: $i > $i ).
thf(func_def_827,type,
sK457: $i > $i > $i > $i ).
thf(func_def_828,type,
sK458: $i > $i > $i > $i ).
thf(func_def_829,type,
sK459: $i > $i > $i ).
thf(func_def_830,type,
sK460: $i > $i > $i ).
thf(func_def_831,type,
sK461: $i > $i > $i ).
thf(func_def_832,type,
sK462: $i > $i ).
thf(func_def_833,type,
sK463: $i > $i > $i ).
thf(func_def_835,type,
sK465: $i > $i ).
thf(func_def_836,type,
sK466: $i > $i ).
thf(func_def_837,type,
sK467: $i > ( $i > $o ) > $i ).
thf(func_def_838,type,
sK468: $i > $o ).
thf(func_def_840,type,
sK470: $i > ( $i > $i ) > $i > $i ).
thf(func_def_842,type,
sK472: $i > $i ).
thf(func_def_847,type,
sK477: $i > $o ).
thf(func_def_856,type,
sK486: $o ).
thf(func_def_861,type,
sK491: $i > $i > $i ).
thf(func_def_882,type,
sK512: $i > $i > $i ).
thf(func_def_893,type,
sK523: $i > $o ).
thf(func_def_897,type,
sK527: $i > $i ).
thf(func_def_916,type,
sK546: $o ).
thf(func_def_918,type,
sK548: ( $i > $o ) > $i ).
thf(func_def_919,type,
sK549: $i > $o ).
thf(func_def_920,type,
sK550: $i > $i ).
thf(func_def_921,type,
sK551: $i > $o ).
thf(func_def_949,type,
sK579: $i > $i > $i > $i > $i ).
thf(func_def_955,type,
sK585: $o ).
thf(func_def_958,type,
sK588: $i > $i ).
thf(func_def_966,type,
sK596: $o ).
thf(func_def_976,type,
sK606: $i > $i > $o ).
thf(func_def_994,type,
sK624: ( $i > $i ) > $i > $i > $i ).
thf(func_def_997,type,
sK627: $i > $i ).
thf(func_def_999,type,
sK629: $i > $i > $o ).
thf(func_def_1006,type,
sK636: $o ).
thf(func_def_1009,type,
sK639: $i > $o ).
thf(func_def_1011,type,
sK641: $i > ( $i > $o ) > $i ).
thf(func_def_1018,type,
sK648: $i > $i > $i ).
thf(func_def_1032,type,
sK662: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_1035,type,
sK665: $i > $i > $o ).
thf(func_def_1036,type,
sK666: $i > $i ).
thf(func_def_1043,type,
sK673: $i > $o ).
thf(func_def_1053,type,
sK683: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1054,type,
sK684: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1058,type,
sK688: $i > $o ).
thf(func_def_1061,type,
sK691: $i > $o ).
thf(func_def_1069,type,
sK699: $i > $i > $i ).
thf(func_def_1074,type,
sK704: $o ).
thf(func_def_1080,type,
sK710: $i > $o ).
thf(func_def_1089,type,
sK719: $i > $i > $i ).
thf(func_def_1090,type,
sK720: $i > $o ).
thf(func_def_1093,type,
sK723: $i > ( $i > $o ) > $i ).
thf(func_def_1097,type,
sK727: $i > $i > $i > $i ).
thf(func_def_1098,type,
sK728: $i > $i > $i > $i ).
thf(func_def_1101,type,
sK731: $i > $o ).
thf(func_def_1106,type,
sK736: $o ).
thf(func_def_1126,type,
sK756: $i > $i > $o ).
thf(func_def_1130,type,
sK760: $i > $i > $o ).
thf(func_def_1140,type,
sK770: $i > $o ).
thf(func_def_1145,type,
sK775: $o ).
thf(func_def_1154,type,
sK784: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1155,type,
sK785: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1158,type,
sK788: $i > $o ).
thf(func_def_1159,type,
sK789: $i > $o ).
thf(func_def_1166,type,
sK796: $i > $o ).
thf(func_def_1168,type,
sK798: ( $i > $o ) > $i > $i ).
thf(func_def_1171,type,
sK801: $o ).
thf(func_def_1172,type,
sK802: $o > $i > $i > $i ).
thf(func_def_1189,type,
sK819: $i > $o ).
thf(func_def_1191,type,
sK821: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1192,type,
sK822: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1198,type,
sK828: $i > $o ).
thf(func_def_1199,type,
sK829: $i > $o ).
thf(func_def_1200,type,
sK830: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1201,type,
sK831: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1205,type,
sK835: $i > $i > $i > $i ).
thf(func_def_1206,type,
sK836: $i > $i > $i > $i ).
thf(func_def_1228,type,
sK858: $i > $i > $i > $i ).
thf(func_def_1241,type,
sK871: $i > ( $i > $o ) > $i ).
thf(func_def_1242,type,
sK872: $i > $o ).
thf(func_def_1256,type,
sK886: $i > $i > $i > $i ).
thf(func_def_1257,type,
sK887: $i > $i > $i > $i ).
thf(func_def_1258,type,
sK888: $i > $i > $i > $i ).
thf(func_def_1259,type,
sK889: $i > $i > $i > $i ).
thf(func_def_1287,type,
sK917: $o ).
thf(func_def_1306,type,
sK936: $o ).
thf(func_def_1307,type,
sK937: $i > $o ).
thf(func_def_1312,type,
sK942: $i > $i > $i ).
thf(func_def_1321,type,
sK951: $i > $i > $i > $i > $i > $i ).
thf(func_def_1349,type,
sK979: $i > $i > $o ).
thf(func_def_1361,type,
sK991: $i > $i ).
thf(func_def_1362,type,
sK992: $i > $i ).
thf(func_def_1367,type,
sK997: $i > $i > $i > $i > $i ).
thf(func_def_1368,type,
sK998: $i > $i > $i > $i > $i ).
thf(func_def_1369,type,
sK999: $i > $i > $i > $i > $i ).
thf(func_def_1370,type,
sK1000: $i > $i > $i > $i > $i ).
thf(func_def_1371,type,
sK1001: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1372,type,
sK1002: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1373,type,
sK1003: $i > $o ).
thf(func_def_1374,type,
sK1004: $i > $o ).
thf(func_def_1380,type,
sK1010: $o ).
thf(func_def_1386,type,
sK1016: $i > $o ).
thf(func_def_1389,type,
sK1019: $i > $i > ( $i > $o ) > $i ).
thf(func_def_1406,type,
sK1036: $i > $i > $i ).
thf(f297,axiom,
( breln1compprop
= ( ! [X1: $i,X0: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1compprop) ).
thf(f307,axiom,
! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( ( binunion @ X1 @ X2 )
= ( binunion @ X2 @ X1 ) ) ) )
= breln1unionCommutes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionCommutes) ).
thf(f308,axiom,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ( X1
= ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) ) ) )
= woz2Ex ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz2Ex) ).
thf(f309,axiom,
! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( ( breln1invset @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) )
= ( breln1compset @ X0 @ ( breln1invset @ X0 @ X2 ) @ ( breln1invset @ X0 @ X1 ) ) ) ) )
= woz2W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz2W) ).
thf(f310,axiom,
( woz2A
= ( ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz2A) ).
thf(f311,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [X1: $i,X0: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1invset @ X0 @ ( breln1compset @ X0 @ ( breln1invset @ X0 @ X3 ) @ ( breln1invset @ X0 @ X2 ) ) ) @ ( breln1invset @ X0 @ ( breln1compset @ X0 @ ( breln1invset @ X0 @ X3 ) @ ( breln1invset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz2B) ).
thf(f312,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [X1: $i,X0: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1invset @ X0 @ ( breln1compset @ X0 @ ( breln1invset @ X0 @ X3 ) @ ( breln1invset @ X0 @ X2 ) ) ) @ ( breln1invset @ X0 @ ( breln1compset @ X0 @ ( breln1invset @ X0 @ X3 ) @ ( breln1invset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f311]) ).
thf(f408,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X1 @ X0 )
=> ! [X2: $i] :
( ( breln1 @ X1 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X1 @ X3 )
=> ( ( breln1compset @ X1 @ ( binunion @ X0 @ X2 ) @ X3 )
= ( binunion @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X2 ) ) ) @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f312]) ).
thf(f409,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ! [X1: $i,X0: $i] :
( ( $true
= ( breln1 @ X1 @ X0 ) )
=> ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( breln1 @ X1 @ X3 )
= $true )
=> ( ( breln1compset @ X1 @ ( binunion @ X0 @ X2 ) @ X3 )
= ( binunion @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X2 ) ) ) @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f408]) ).
thf(f541,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ( X1
= ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) ) ) )
= woz2Ex ),
inference(rectify,[],[f308]) ).
thf(f542,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ( ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) )
= X1 ) )
<=> ( woz2Ex = $true ) ),
inference(fool_elimination,[],[f541]) ).
thf(f676,plain,
( breln1compprop
= ( ! [X0: $i,X1: $i] :
( ( breln1 @ X1 @ X0 )
=> ! [X2: $i] :
( ( breln1 @ X1 @ X2 )
=> ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f297]) ).
thf(f677,plain,
( ( breln1compprop = $true )
<=> ! [X1: $i,X0: $i] :
( ( $true
= ( breln1 @ X1 @ X0 ) )
=> ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
=> ( ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f676]) ).
thf(f698,plain,
( woz2A
= ( ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) ) ) ) ) ) ),
inference(rectify,[],[f310]) ).
thf(f699,plain,
( ( woz2A = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( breln1 @ X0 @ X3 )
= $true )
=> ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f698]) ).
thf(f826,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
=> ! [X2: $i] :
( ( breln1 @ X1 @ X2 )
=> ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) ) ) )
= breln1unionCommutes ),
inference(rectify,[],[f307]) ).
thf(f827,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( breln1 @ X1 @ X0 ) )
=> ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
=> ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) ) ) )
<=> ( breln1unionCommutes = $true ) ),
inference(fool_elimination,[],[f826]) ).
thf(f919,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
=> ! [X2: $i] :
( ( breln1 @ X1 @ X2 )
=> ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) )
= woz2W ),
inference(rectify,[],[f309]) ).
thf(f920,plain,
( ( woz2W = $true )
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( breln1 @ X1 @ X0 ) )
=> ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
=> ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) ) ),
inference(fool_elimination,[],[f919]) ).
thf(f1001,plain,
( ( breln1compprop = $true )
<=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) ) ),
inference(ennf_transformation,[],[f677]) ).
thf(f1032,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( breln1compset @ X1 @ ( binunion @ X0 @ X2 ) @ X3 )
!= ( binunion @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X2 ) ) ) @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) )
& ( ( breln1 @ X1 @ X3 )
= $true ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) )
& ( $true
= ( breln1 @ X1 @ X0 ) ) )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f409]) ).
thf(f1033,plain,
( ( symdiffIneg1 = $true )
& ( breln1compEex = $true )
& ( exuI2 = $true )
& ( binintersectSubset2 = $true )
& ( secondinupair = $true )
& ( cartprodsndin = $true )
& ( cartprodpairsurjEq = $true )
& ( beta1 = $true )
& ( iffalse = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( funcImageSingleton = $true )
& ( inIntersectImpInUnion2 = $true )
& ( exuE3e = $true )
& ( setukpairinjL = $true )
& ( powersetT_lem = $true )
& ( emptysetsubset = $true )
& ( ex1I2 = $true )
& ( breln1compI = $true )
& ( setunionI = $true )
& ( cartprodpairin = $true )
& ( woz2A = $true )
& ( replAx = $true )
& ( brelnall1 = $true )
& ( binintersectSubset5 = $true )
& ( eta1 = $true )
& ( breln1unionIL = $true )
& ( emptysetAx = $true )
& ( doubleComplementSub1 = $true )
& ( eqinunit = $true )
& ( in__Cong = $true )
& ( subbreln = $true )
& ( ap2p = $true )
& ( setukpairIR = $true )
& ( setextT = $true )
& ( demorgan1b = $true )
& ( emptyI = $true )
& ( setadjoin__Cong = $true )
& ( upairsubunion = $true )
& ( binintersectSubset3 = $true )
& ( cartprodpairmemEL = $true )
& ( binintersectLsub = $true )
& ( contrasubsetT1 = $true )
& ( theprop = $true )
& ( setadjoinSub = $true )
& ( notequalI2 = $true )
& ( setunion__Cong = $true )
& ( notdallE = $true )
& ( binunionTIRcontra = $true )
& ( setOfPairsIsBReln1 = $true )
& ( subsetemptysetimpeq = $true )
& ( ifp = $true )
& ( subsetRefl = $true )
& ( ubforcartprodlem3 = $true )
& ( lam2lamEq = $true )
& ( setukpairinjR2 = $true )
& ( dsetconstrI = $true )
& ( disjointsetsI1 = $true )
& ( omegaSAx = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( breln1compset @ X1 @ ( binunion @ X0 @ X2 ) @ X3 )
!= ( binunion @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X2 ) ) ) @ ( breln1invset @ X1 @ ( breln1compset @ X1 @ ( breln1invset @ X1 @ X3 ) @ ( breln1invset @ X1 @ X0 ) ) ) ) )
& ( ( breln1 @ X1 @ X3 )
= $true ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) )
& ( $true
= ( breln1 @ X1 @ X0 ) ) )
& ( setukpairinjL2 = $true )
& ( setminusEL = $true )
& ( doubleComplementEq = $true )
& ( binintersectRsub = $true )
& ( setukpairIL = $true )
& ( setunionsingleton1 = $true )
& ( dpsetconstrEL1 = $true )
& ( quantDeMorgan4 = $true )
& ( setukpairinjR12 = $true )
& ( subsetE2 = $true )
& ( complementTI1 = $true )
& ( ifSingleton = $true )
& ( subsetTI = $true )
& ( exuE1 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( doubleComplementI1 = $true )
& ( funcext2 = $true )
& ( setukpairinjL1 = $true )
& ( binunionTILcontra = $true )
& ( kpairsurjEq = $true )
& ( quantDeMorgan3 = $true )
& ( complementTnotintersectT = $true )
& ( choice2fnsingleton = $true )
& ( demorgan1 = $true )
& ( nonemptyI1 = $true )
& ( upairinpowunion = $true )
& ( dpsetconstrSub = $true )
& ( prop2setI = $true )
& ( emptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinIL = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( breln1all1 = $true )
& ( nonemptyE1 = $true )
& ( emptyInPowerset = $true )
& ( dsetconstrER = $true )
& ( funcGraphProp1 = $true )
& ( funcinfuncset = $true )
& ( woz13rule4 = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( symdiffI1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( subPowSU = $true )
& ( breln1unionE = $true )
& ( eqimpsubset1 = $true )
& ( powersetTI1 = $true )
& ( funcGraphProp3 = $true )
& ( emptyset__Cong = $true )
& ( ap2apEq2 = $true )
& ( kfstsingleton = $true )
& ( prop2set2propI = $true )
& ( iftrueProp1 = $true )
& ( apProp = $true )
& ( binunionEcases = $true )
& ( cartprodmempair1 = $true )
& ( exu__Cong = $true )
& ( binunionT_lem = $true )
& ( exuEu = $true )
& ( demorgan2a1 = $true )
& ( eta2 = $true )
& ( descr__Cong = $true )
& ( powersetE1 = $true )
& ( demorgan2b2 = $true )
& ( beta2 = $true )
& ( binunionIR = $true )
& ( subsetE = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( singletonsuniq = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( breln1invI = $true )
& ( breln1unionprop = $true )
& ( powersetI = $true )
& ( setbeta = $true )
& ( powersetE = $true )
& ( binintersectSubset4 = $true )
& ( theeq = $true )
& ( dpsetconstrI = $true )
& ( notinemptyset = $true )
& ( ksndpairEq = $true )
& ( cartprodsndpairEq = $true )
& ( iftrue = $true )
& ( breln1unionI = $true )
& ( woz13rule3 = $true )
& ( omega0Ax = $true )
& ( dpsetconstrEL2 = $true )
& ( brelnall2 = $true )
& ( lamProp = $true )
& ( powersetI1 = $true )
& ( breln1all2 = $true )
& ( breln1unionEcases = $true )
& ( setadjoinOr = $true )
& ( eqbreln1 = $true )
& ( setminusERneg = $true )
& ( doubleComplementE1 = $true )
& ( woz13rule2 = $true )
& ( demorgan2a2 = $true )
& ( setunionAx = $true )
& ( upairset2IR = $true )
& ( notsubsetI = $true )
& ( breln1SetBreln1 = $true )
& ( noeltsimpempty = $true )
& ( woz2Ex = $true )
& ( bs114d = $true )
& ( nonemptyI = $true )
& ( symdiffI2 = $true )
& ( singletoninpowunion = $true )
& ( funcext = $true )
& ( nonemptyImpWitness = $true )
& ( complementTE1 = $true )
& ( complementT_lem = $true )
& ( notinsingleton = $true )
& ( setunionE = $true )
& ( subsetI2 = $true )
& ( symdiffIneg2 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( powersetTE1 = $true )
& ( upairequniteq = $true )
& ( emptysetimpfalse = $true )
& ( sepSubset = $true )
& ( ex1I = $true )
& ( quantDeMorgan2 = $true )
& ( powersetAx = $true )
& ( breln1compE = $true )
& ( demorgan2 = $true )
& ( setextAx = $true )
& ( powersetsubset = $true )
& ( setukpairinjR11 = $true )
& ( woz1_1 = $true )
& ( setminusT_lem = $true )
& ( woz1_3 = $true )
& ( exuI3 = $true )
& ( descrp = $true )
& ( singletonsswitch = $true )
& ( breln1invE = $true )
& ( omegaIndAx = $true )
& ( binintersectTELcontra = $true )
& ( contrasubsetT3 = $true )
& ( inPowerset = $true )
& ( complementImpComplementIntersect = $true )
& ( wellorderingAx = $true )
& ( notdexE = $true )
& ( woz2W = $true )
& ( setOfPairsIsBReln = $true )
& ( cartprodfstpairEq = $true )
& ( setminusSubset2 = $true )
& ( cartprodfstin = $true )
& ( setadjoinAx = $true )
& ( setminusER = $true )
& ( dpsetconstrERa = $true )
& ( demorgan2b = $true )
& ( woz13rule1 = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectI = $true )
& ( woz1_4 = $true )
& ( cartprodmempaircEq = $true )
& ( ubforcartprodlem2 = $true )
& ( kpairiskpair = $true )
& ( woz1_5 = $true )
& ( subbreln1 = $true )
& ( inCongP = $true )
& ( kfstpairEq = $true )
& ( powerset__Cong = $true )
& ( exuI1 = $true )
& ( cartprodmempair = $true )
& ( ex1E2 = $true )
& ( binintersectTERcontra = $true )
& ( contraSubsetComplement = $true )
& ( ex1E1 = $true )
& ( inIntersectImpInUnion = $true )
& ( contrasubsetT2 = $true )
& ( omega__Cong = $true )
& ( funcGraphProp2 = $true )
& ( demorgan2a = $true )
& ( upairsetE = $true )
& ( setminusILneg = $true )
& ( woz13rule0 = $true )
& ( setunionsingleton2 = $true )
& ( ksndsingleton = $true )
& ( iftrueProp2 = $true )
& ( app = $true )
& ( iftrueorfalse = $true )
& ( ubforcartprodlem1 = $true )
& ( setukpairinjR1 = $true )
& ( setextsub = $true )
& ( lam2p = $true )
& ( breln1unionCommutes = $true )
& ( funcextLem = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR = $true )
& ( setminusELneg = $true )
& ( setadjoinIR = $true )
& ( binunionTEcontra = $true )
& ( upairsetIR = $true )
& ( vacuousDall = $true )
& ( setminusSubset1 = $true )
& ( ap2apEq1 = $true )
& ( infuncsetfunc = $true )
& ( setminusLsub = $true )
& ( doubleComplementSub2 = $true )
& ( quantDeMorgan1 = $true )
& ( upairset2E = $true )
& ( lamp = $true )
& ( singletoninpowerset = $true )
& ( binunionIL = $true )
& ( eqimpsubset2 = $true )
& ( subsetTrans = $true )
& ( eqbreln = $true )
& ( setminusI = $true )
& ( cartprodpairmemER = $true )
& ( complementUnionInPowersetComplement = $true )
& ( dsetconstrEL = $true )
& ( setunionE2 = $true )
& ( binintersectSubset1 = $true )
& ( binunionLsub = $true )
& ( symdiffE = $true )
& ( setext = $true )
& ( binunionE = $true )
& ( singletonsubset = $true )
& ( breln1invprop = $true )
& ( setadjoinE = $true )
& ( setunionsingleton = $true )
& ( contrasubsetT = $true )
& ( setoftrueEq = $true )
& ( breln1compprop = $true )
& ( subset2powerset = $true )
& ( demorgan1a = $true )
& ( uniqinunit = $true )
& ( notequalI1 = $true )
& ( upairsetIL = $true )
& ( setminusIRneg = $true )
& ( exuE3u = $true )
& ( binunionRsub = $true )
& ( dpsetconstrER = $true )
& ( funcGraphProp4 = $true )
& ( complementTcontraSubset = $true )
& ( binunionTE = $true )
& ( exuE2 = $true )
& ( singletonprop = $true )
& ( prop2setE = $true )
& ( kpairp = $true )
& ( breln1unionIR = $true )
& ( iffalseProp2 = $true )
& ( emptyinPowerset = $true )
& ( binintersectEL = $true )
& ( binintersectT_lem = $true )
& ( binintersectER = $true ) ),
inference(flattening,[],[f1032]) ).
thf(f1052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X1 @ X0 ) )
| ! [X2: $i] :
( ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) ) )
<=> ( breln1unionCommutes = $true ) ),
inference(ennf_transformation,[],[f827]) ).
thf(f1087,plain,
( ( woz2Ex = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) )
= X1 )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f542]) ).
thf(f1093,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
| ( ( breln1 @ X0 @ X3 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
<=> ( woz2A = $true ) ),
inference(ennf_transformation,[],[f699]) ).
thf(f1329,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) )
<=> ( woz2W = $true ) ),
inference(ennf_transformation,[],[f920]) ).
thf(f1499,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) )
| ( woz2W != $true ) )
& ( ( woz2W = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
!= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) )
& ( $true
= ( breln1 @ X1 @ X0 ) ) ) ) ),
inference(nnf_transformation,[],[f1329]) ).
thf(f1500,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) )
| ( woz2W != $true ) )
& ( ( woz2W = $true )
| ? [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( breln1invset @ X4 @ ( breln1compset @ X4 @ X3 @ X5 ) )
!= ( breln1compset @ X4 @ ( breln1invset @ X4 @ X5 ) @ ( breln1invset @ X4 @ X3 ) ) )
& ( $true
= ( breln1 @ X4 @ X5 ) ) )
& ( ( breln1 @ X4 @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f1499]) ).
thf(f1501,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) )
| ( woz2W != $true ) )
& ( ( woz2W = $true )
| ( ( ( breln1invset @ sK136 @ ( breln1compset @ sK136 @ sK135 @ sK137 ) )
!= ( breln1compset @ sK136 @ ( breln1invset @ sK136 @ sK137 ) @ ( breln1invset @ sK136 @ sK135 ) ) )
& ( ( breln1 @ sK136 @ sK137 )
= $true )
& ( ( breln1 @ sK136 @ sK135 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135,sK136,sK137]),skolemize(X3,sK135),skolemize(X4,sK136),skolemize(X5,sK137)],[f1500]) ).
thf(f1557,plain,
( ( symdiffIneg1 = $true )
& ( breln1compEex = $true )
& ( exuI2 = $true )
& ( binintersectSubset2 = $true )
& ( secondinupair = $true )
& ( cartprodsndin = $true )
& ( cartprodpairsurjEq = $true )
& ( beta1 = $true )
& ( iffalse = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( funcImageSingleton = $true )
& ( inIntersectImpInUnion2 = $true )
& ( exuE3e = $true )
& ( setukpairinjL = $true )
& ( powersetT_lem = $true )
& ( emptysetsubset = $true )
& ( ex1I2 = $true )
& ( breln1compI = $true )
& ( setunionI = $true )
& ( cartprodpairin = $true )
& ( woz2A = $true )
& ( replAx = $true )
& ( brelnall1 = $true )
& ( binintersectSubset5 = $true )
& ( eta1 = $true )
& ( breln1unionIL = $true )
& ( emptysetAx = $true )
& ( doubleComplementSub1 = $true )
& ( eqinunit = $true )
& ( in__Cong = $true )
& ( subbreln = $true )
& ( ap2p = $true )
& ( setukpairIR = $true )
& ( setextT = $true )
& ( demorgan1b = $true )
& ( emptyI = $true )
& ( setadjoin__Cong = $true )
& ( upairsubunion = $true )
& ( binintersectSubset3 = $true )
& ( cartprodpairmemEL = $true )
& ( binintersectLsub = $true )
& ( contrasubsetT1 = $true )
& ( theprop = $true )
& ( setadjoinSub = $true )
& ( notequalI2 = $true )
& ( setunion__Cong = $true )
& ( notdallE = $true )
& ( binunionTIRcontra = $true )
& ( setOfPairsIsBReln1 = $true )
& ( subsetemptysetimpeq = $true )
& ( ifp = $true )
& ( subsetRefl = $true )
& ( ubforcartprodlem3 = $true )
& ( lam2lamEq = $true )
& ( setukpairinjR2 = $true )
& ( dsetconstrI = $true )
& ( disjointsetsI1 = $true )
& ( omegaSAx = $true )
& ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK193 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) )
& ( ( breln1 @ sK192 @ sK194 )
= $true )
& ( ( breln1 @ sK192 @ sK193 )
= $true )
& ( ( breln1 @ sK192 @ sK191 )
= $true )
& ( setukpairinjL2 = $true )
& ( setminusEL = $true )
& ( doubleComplementEq = $true )
& ( binintersectRsub = $true )
& ( setukpairIL = $true )
& ( setunionsingleton1 = $true )
& ( dpsetconstrEL1 = $true )
& ( quantDeMorgan4 = $true )
& ( setukpairinjR12 = $true )
& ( subsetE2 = $true )
& ( complementTI1 = $true )
& ( ifSingleton = $true )
& ( subsetTI = $true )
& ( exuE1 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( doubleComplementI1 = $true )
& ( funcext2 = $true )
& ( setukpairinjL1 = $true )
& ( binunionTILcontra = $true )
& ( kpairsurjEq = $true )
& ( quantDeMorgan3 = $true )
& ( complementTnotintersectT = $true )
& ( choice2fnsingleton = $true )
& ( demorgan1 = $true )
& ( nonemptyI1 = $true )
& ( upairinpowunion = $true )
& ( dpsetconstrSub = $true )
& ( prop2setI = $true )
& ( emptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinIL = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( breln1all1 = $true )
& ( nonemptyE1 = $true )
& ( emptyInPowerset = $true )
& ( dsetconstrER = $true )
& ( funcGraphProp1 = $true )
& ( funcinfuncset = $true )
& ( woz13rule4 = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( symdiffI1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( subPowSU = $true )
& ( breln1unionE = $true )
& ( eqimpsubset1 = $true )
& ( powersetTI1 = $true )
& ( funcGraphProp3 = $true )
& ( emptyset__Cong = $true )
& ( ap2apEq2 = $true )
& ( kfstsingleton = $true )
& ( prop2set2propI = $true )
& ( iftrueProp1 = $true )
& ( apProp = $true )
& ( binunionEcases = $true )
& ( cartprodmempair1 = $true )
& ( exu__Cong = $true )
& ( binunionT_lem = $true )
& ( exuEu = $true )
& ( demorgan2a1 = $true )
& ( eta2 = $true )
& ( descr__Cong = $true )
& ( powersetE1 = $true )
& ( demorgan2b2 = $true )
& ( beta2 = $true )
& ( binunionIR = $true )
& ( subsetE = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( singletonsuniq = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( breln1invI = $true )
& ( breln1unionprop = $true )
& ( powersetI = $true )
& ( setbeta = $true )
& ( powersetE = $true )
& ( binintersectSubset4 = $true )
& ( theeq = $true )
& ( dpsetconstrI = $true )
& ( notinemptyset = $true )
& ( ksndpairEq = $true )
& ( cartprodsndpairEq = $true )
& ( iftrue = $true )
& ( breln1unionI = $true )
& ( woz13rule3 = $true )
& ( omega0Ax = $true )
& ( dpsetconstrEL2 = $true )
& ( brelnall2 = $true )
& ( lamProp = $true )
& ( powersetI1 = $true )
& ( breln1all2 = $true )
& ( breln1unionEcases = $true )
& ( setadjoinOr = $true )
& ( eqbreln1 = $true )
& ( setminusERneg = $true )
& ( doubleComplementE1 = $true )
& ( woz13rule2 = $true )
& ( demorgan2a2 = $true )
& ( setunionAx = $true )
& ( upairset2IR = $true )
& ( notsubsetI = $true )
& ( breln1SetBreln1 = $true )
& ( noeltsimpempty = $true )
& ( woz2Ex = $true )
& ( bs114d = $true )
& ( nonemptyI = $true )
& ( symdiffI2 = $true )
& ( singletoninpowunion = $true )
& ( funcext = $true )
& ( nonemptyImpWitness = $true )
& ( complementTE1 = $true )
& ( complementT_lem = $true )
& ( notinsingleton = $true )
& ( setunionE = $true )
& ( subsetI2 = $true )
& ( symdiffIneg2 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( powersetTE1 = $true )
& ( upairequniteq = $true )
& ( emptysetimpfalse = $true )
& ( sepSubset = $true )
& ( ex1I = $true )
& ( quantDeMorgan2 = $true )
& ( powersetAx = $true )
& ( breln1compE = $true )
& ( demorgan2 = $true )
& ( setextAx = $true )
& ( powersetsubset = $true )
& ( setukpairinjR11 = $true )
& ( woz1_1 = $true )
& ( setminusT_lem = $true )
& ( woz1_3 = $true )
& ( exuI3 = $true )
& ( descrp = $true )
& ( singletonsswitch = $true )
& ( breln1invE = $true )
& ( omegaIndAx = $true )
& ( binintersectTELcontra = $true )
& ( contrasubsetT3 = $true )
& ( inPowerset = $true )
& ( complementImpComplementIntersect = $true )
& ( wellorderingAx = $true )
& ( notdexE = $true )
& ( woz2W = $true )
& ( setOfPairsIsBReln = $true )
& ( cartprodfstpairEq = $true )
& ( setminusSubset2 = $true )
& ( cartprodfstin = $true )
& ( setadjoinAx = $true )
& ( setminusER = $true )
& ( dpsetconstrERa = $true )
& ( demorgan2b = $true )
& ( woz13rule1 = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectI = $true )
& ( woz1_4 = $true )
& ( cartprodmempaircEq = $true )
& ( ubforcartprodlem2 = $true )
& ( kpairiskpair = $true )
& ( woz1_5 = $true )
& ( subbreln1 = $true )
& ( inCongP = $true )
& ( kfstpairEq = $true )
& ( powerset__Cong = $true )
& ( exuI1 = $true )
& ( cartprodmempair = $true )
& ( ex1E2 = $true )
& ( binintersectTERcontra = $true )
& ( contraSubsetComplement = $true )
& ( ex1E1 = $true )
& ( inIntersectImpInUnion = $true )
& ( contrasubsetT2 = $true )
& ( omega__Cong = $true )
& ( funcGraphProp2 = $true )
& ( demorgan2a = $true )
& ( upairsetE = $true )
& ( setminusILneg = $true )
& ( woz13rule0 = $true )
& ( setunionsingleton2 = $true )
& ( ksndsingleton = $true )
& ( iftrueProp2 = $true )
& ( app = $true )
& ( iftrueorfalse = $true )
& ( ubforcartprodlem1 = $true )
& ( setukpairinjR1 = $true )
& ( setextsub = $true )
& ( lam2p = $true )
& ( breln1unionCommutes = $true )
& ( funcextLem = $true )
& ( iffalseProp1 = $true )
& ( setukpairinjR = $true )
& ( setminusELneg = $true )
& ( setadjoinIR = $true )
& ( binunionTEcontra = $true )
& ( upairsetIR = $true )
& ( vacuousDall = $true )
& ( setminusSubset1 = $true )
& ( ap2apEq1 = $true )
& ( infuncsetfunc = $true )
& ( setminusLsub = $true )
& ( doubleComplementSub2 = $true )
& ( quantDeMorgan1 = $true )
& ( upairset2E = $true )
& ( lamp = $true )
& ( singletoninpowerset = $true )
& ( binunionIL = $true )
& ( eqimpsubset2 = $true )
& ( subsetTrans = $true )
& ( eqbreln = $true )
& ( setminusI = $true )
& ( cartprodpairmemER = $true )
& ( complementUnionInPowersetComplement = $true )
& ( dsetconstrEL = $true )
& ( setunionE2 = $true )
& ( binintersectSubset1 = $true )
& ( binunionLsub = $true )
& ( symdiffE = $true )
& ( setext = $true )
& ( binunionE = $true )
& ( singletonsubset = $true )
& ( breln1invprop = $true )
& ( setadjoinE = $true )
& ( setunionsingleton = $true )
& ( contrasubsetT = $true )
& ( setoftrueEq = $true )
& ( breln1compprop = $true )
& ( subset2powerset = $true )
& ( demorgan1a = $true )
& ( uniqinunit = $true )
& ( notequalI1 = $true )
& ( upairsetIL = $true )
& ( setminusIRneg = $true )
& ( exuE3u = $true )
& ( binunionRsub = $true )
& ( dpsetconstrER = $true )
& ( funcGraphProp4 = $true )
& ( complementTcontraSubset = $true )
& ( binunionTE = $true )
& ( exuE2 = $true )
& ( singletonprop = $true )
& ( prop2setE = $true )
& ( kpairp = $true )
& ( breln1unionIR = $true )
& ( iffalseProp2 = $true )
& ( emptyinPowerset = $true )
& ( binintersectEL = $true )
& ( binintersectT_lem = $true )
& ( binintersectER = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191,sK192,sK193,sK194]),skolemize(X0,sK191),skolemize(X1,sK192),skolemize(X2,sK193),skolemize(X3,sK194)],[f1033]) ).
thf(f1582,plain,
( ( ( woz2Ex = $true )
| ? [X0: $i,X1: $i] :
( ( ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) )
!= X1 )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ( ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) )
= X1 )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( woz2Ex != $true ) ) ),
inference(nnf_transformation,[],[f1087]) ).
thf(f1583,plain,
( ( ( woz2Ex = $true )
| ? [X0: $i,X1: $i] :
( ( ( breln1invset @ X0 @ ( breln1invset @ X0 @ X1 ) )
!= X1 )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( breln1invset @ X2 @ ( breln1invset @ X2 @ X3 ) )
= X3 )
| ( ( breln1 @ X2 @ X3 )
!= $true ) )
| ( woz2Ex != $true ) ) ),
inference(rectify,[],[f1582]) ).
thf(f1584,plain,
( ( ( woz2Ex = $true )
| ( ( ( breln1invset @ sK220 @ ( breln1invset @ sK220 @ sK221 ) )
!= sK221 )
& ( ( breln1 @ sK220 @ sK221 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( breln1invset @ X2 @ ( breln1invset @ X2 @ X3 ) )
= X3 )
| ( ( breln1 @ X2 @ X3 )
!= $true ) )
| ( woz2Ex != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK220,sK221]),skolemize(X0,sK220),skolemize(X1,sK221)],[f1583]) ).
thf(f1874,plain,
( ( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X1 @ X0 ) )
| ! [X2: $i] :
( ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) ) )
| ( breln1unionCommutes != $true ) )
& ( ( breln1unionCommutes = $true )
| ? [X0: $i,X1: $i] :
( ( $true
= ( breln1 @ X1 @ X0 ) )
& ? [X2: $i] :
( ( ( binunion @ X0 @ X2 )
!= ( binunion @ X2 @ X0 ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) ) ) ) ),
inference(nnf_transformation,[],[f1052]) ).
thf(f1875,plain,
( ( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X1 @ X0 ) )
| ! [X2: $i] :
( ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) ) )
| ( breln1unionCommutes != $true ) )
& ( ( breln1unionCommutes = $true )
| ? [X3: $i,X4: $i] :
( ( ( breln1 @ X4 @ X3 )
= $true )
& ? [X5: $i] :
( ( ( binunion @ X5 @ X3 )
!= ( binunion @ X3 @ X5 ) )
& ( $true
= ( breln1 @ X4 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f1874]) ).
thf(f1876,plain,
( ( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X1 @ X0 ) )
| ! [X2: $i] :
( ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) )
| ( ( breln1 @ X1 @ X2 )
!= $true ) ) )
| ( breln1unionCommutes != $true ) )
& ( ( breln1unionCommutes = $true )
| ( ( ( breln1 @ sK541 @ sK540 )
= $true )
& ( ( binunion @ sK540 @ sK542 )
!= ( binunion @ sK542 @ sK540 ) )
& ( $true
= ( breln1 @ sK541 @ sK542 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK540,sK541,sK542]),skolemize(X3,sK540),skolemize(X4,sK541),skolemize(X5,sK542)],[f1875]) ).
thf(f2146,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
| ( ( breln1 @ X0 @ X3 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( woz2A != $true ) )
& ( ( woz2A = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
!= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
& ( ( breln1 @ X0 @ X3 )
= $true ) ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f1093]) ).
thf(f2147,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
| ( ( breln1 @ X0 @ X3 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( woz2A != $true ) )
& ( ( woz2A = $true )
| ? [X4: $i,X5: $i] :
( ? [X6: $i] :
( ( $true
= ( breln1 @ X4 @ X6 ) )
& ? [X7: $i] :
( ( ( binunion @ ( breln1compset @ X4 @ X5 @ X7 ) @ ( breln1compset @ X4 @ X6 @ X7 ) )
!= ( breln1compset @ X4 @ ( binunion @ X5 @ X6 ) @ X7 ) )
& ( $true
= ( breln1 @ X4 @ X7 ) ) ) )
& ( $true
= ( breln1 @ X4 @ X5 ) ) ) ) ),
inference(rectify,[],[f2146]) ).
thf(f2148,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
| ( ( breln1 @ X0 @ X3 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( woz2A != $true ) )
& ( ( woz2A = $true )
| ( ( ( breln1 @ sK843 @ sK845 )
= $true )
& ( ( binunion @ ( breln1compset @ sK843 @ sK844 @ sK846 ) @ ( breln1compset @ sK843 @ sK845 @ sK846 ) )
!= ( breln1compset @ sK843 @ ( binunion @ sK844 @ sK845 ) @ sK846 ) )
& ( ( breln1 @ sK843 @ sK846 )
= $true )
& ( ( breln1 @ sK843 @ sK844 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK843,sK844,sK845,sK846]),skolemize(X4,sK843),skolemize(X5,sK844),skolemize(X6,sK845),skolemize(X7,sK846)],[f2147]) ).
thf(f2201,plain,
( ( ( breln1compprop = $true )
| ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
& ( ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
!= $true ) )
& ( $true
= ( breln1 @ X1 @ X0 ) ) ) )
& ( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( breln1 @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= $true ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) ) )
| ( breln1compprop != $true ) ) ),
inference(nnf_transformation,[],[f1001]) ).
thf(f2202,plain,
( ( ( breln1compprop = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ( ( breln1 @ X0 @ ( breln1compset @ X0 @ X1 @ X2 ) )
!= $true ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( $true
!= ( breln1 @ X3 @ X5 ) )
| ( ( breln1 @ X3 @ ( breln1compset @ X3 @ X4 @ X5 ) )
= $true ) )
| ( ( breln1 @ X3 @ X4 )
!= $true ) )
| ( breln1compprop != $true ) ) ),
inference(rectify,[],[f2201]) ).
thf(f2203,plain,
( ( ( breln1compprop = $true )
| ( ( ( breln1 @ sK901 @ sK903 )
= $true )
& ( ( breln1 @ sK901 @ ( breln1compset @ sK901 @ sK902 @ sK903 ) )
!= $true )
& ( ( breln1 @ sK901 @ sK902 )
= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( $true
!= ( breln1 @ X3 @ X5 ) )
| ( ( breln1 @ X3 @ ( breln1compset @ X3 @ X4 @ X5 ) )
= $true ) )
| ( ( breln1 @ X3 @ X4 )
!= $true ) )
| ( breln1compprop != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK901,sK902,sK903]),skolemize(X0,sK901),skolemize(X1,sK902),skolemize(X2,sK903)],[f2202]) ).
thf(f2511,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1invset @ X1 @ ( breln1compset @ X1 @ X0 @ X2 ) )
= ( breln1compset @ X1 @ ( breln1invset @ X1 @ X2 ) @ ( breln1invset @ X1 @ X0 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ X0 ) )
| ( woz2W != $true ) ),
inference(cnf_transformation,[],[f1501]) ).
thf(f2607,plain,
breln1compprop = $true,
inference(cnf_transformation,[],[f1557]) ).
thf(f2645,plain,
breln1unionCommutes = $true,
inference(cnf_transformation,[],[f1557]) ).
thf(f2689,plain,
woz2W = $true,
inference(cnf_transformation,[],[f1557]) ).
thf(f2729,plain,
woz2Ex = $true,
inference(cnf_transformation,[],[f1557]) ).
thf(f2834,plain,
( ( breln1 @ sK192 @ sK191 )
= $true ),
inference(cnf_transformation,[],[f1557]) ).
thf(f2835,plain,
( ( breln1 @ sK192 @ sK193 )
= $true ),
inference(cnf_transformation,[],[f1557]) ).
thf(f2836,plain,
( ( breln1 @ sK192 @ sK194 )
= $true ),
inference(cnf_transformation,[],[f1557]) ).
thf(f2837,plain,
( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK193 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) ),
inference(cnf_transformation,[],[f1557]) ).
thf(f2875,plain,
woz2A = $true,
inference(cnf_transformation,[],[f1557]) ).
thf(f2929,plain,
! [X2: $i,X3: $i] :
( ( ( breln1invset @ X2 @ ( breln1invset @ X2 @ X3 ) )
= X3 )
| ( ( breln1 @ X2 @ X3 )
!= $true )
| ( woz2Ex != $true ) ),
inference(cnf_transformation,[],[f1584]) ).
thf(f3378,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) )
| ( $true
!= ( breln1 @ X1 @ X0 ) )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( breln1unionCommutes != $true ) ),
inference(cnf_transformation,[],[f1876]) ).
thf(f3791,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( breln1compset @ X0 @ ( binunion @ X1 @ X2 ) @ X3 )
= ( binunion @ ( breln1compset @ X0 @ X1 @ X3 ) @ ( breln1compset @ X0 @ X2 @ X3 ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X0 @ X3 )
!= $true )
| ( woz2A != $true )
| ( ( breln1 @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f2148]) ).
thf(f3867,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( breln1 @ X3 @ ( breln1compset @ X3 @ X4 @ X5 ) )
= $true )
| ( breln1compprop != $true )
| ( $true
!= ( breln1 @ X3 @ X5 ) )
| ( ( breln1 @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f2203]) ).
thf(f4240,plain,
( ( woz2W != $true )
| ( ( binunion @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) )
!= ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 ) )
| ( ( breln1 @ sK192 @ sK193 )
!= $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true ) ),
inference(constrained_superposition,[],[f2837,f2511]) ).
thf(f4241,plain,
( ( ( breln1 @ sK192 @ sK193 )
!= $true )
| ( ( binunion @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) )
!= ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 ) )
| ( ( breln1 @ sK192 @ sK194 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f4240,f2689]) ).
thf(f4243,plain,
( ( ( binunion @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) )
!= ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 ) )
| ( ( breln1 @ sK192 @ sK194 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f4241,f2835]) ).
thf(f4245,plain,
( ( binunion @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) ) ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) )
!= ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 ) ),
inference(forward_subsumption_resolution,[],[f4243,f2836]) ).
thf(f4248,plain,
( ( ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) )
!= $true )
| ( woz2Ex != $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) ) ),
inference(constrained_superposition,[],[f4245,f2929]) ).
thf(f4249,plain,
( ( ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) )
!= $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f4248,f2729]) ).
thf(f4252,definition,
( spl1040_1
<=> ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1040_1])],[avatar_definition]) ).
thf(f4254,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ ( breln1invset @ sK192 @ sK194 ) @ ( breln1invset @ sK192 @ sK191 ) ) ) ) )
| spl1040_1 ),
inference(avatar_component_clause,[],[f4252]) ).
thf(f4256,definition,
( spl1040_2
<=> ( ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1040_2])],[avatar_definition]) ).
thf(f4258,plain,
( ( ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK193 @ sK194 ) )
!= $true )
| spl1040_2 ),
inference(avatar_component_clause,[],[f4256]) ).
thf(f4259,plain,
( ~ spl1040_1
| ~ spl1040_2 ),
inference(avatar_split_clause,[],[f4249,f4256,f4252]) ).
thf(f4278,definition,
( spl1040_5
<=> ( $true
= ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1040_5])],[avatar_definition]) ).
thf(f4280,plain,
( ( $true
!= ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| spl1040_5 ),
inference(avatar_component_clause,[],[f4278]) ).
thf(f4287,plain,
( ( woz2W != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ) )
| spl1040_1 ),
inference(constrained_superposition,[],[f4254,f2511]) ).
thf(f4288,plain,
( ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ) )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| spl1040_1 ),
inference(forward_subsumption_resolution,[],[f4287,f2689]) ).
thf(f4289,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ) )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| spl1040_1 ),
inference(forward_subsumption_resolution,[],[f4288,f2836]) ).
thf(f4290,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1invset @ sK192 @ ( breln1invset @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ) )
| spl1040_1 ),
inference(forward_subsumption_resolution,[],[f4289,f2834]) ).
thf(f4308,plain,
( ( $true
!= ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| ( woz2Ex != $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| spl1040_1 ),
inference(constrained_superposition,[],[f4290,f2929]) ).
thf(f4309,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| ( $true
!= ( breln1 @ sK192 @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| spl1040_1 ),
inference(forward_subsumption_resolution,[],[f4308,f2729]) ).
thf(f4311,definition,
( spl1040_9
<=> ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1040_9])],[avatar_definition]) ).
thf(f4313,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( binunion @ ( breln1compset @ sK192 @ sK193 @ sK194 ) @ ( breln1compset @ sK192 @ sK191 @ sK194 ) ) )
| spl1040_9 ),
inference(avatar_component_clause,[],[f4311]) ).
thf(f4314,plain,
( ~ spl1040_5
| ~ spl1040_9
| spl1040_1 ),
inference(avatar_split_clause,[],[f4309,f4252,f4311,f4278]) ).
thf(f4315,plain,
( ( breln1compprop != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( $true != $true )
| spl1040_5 ),
inference(constrained_superposition,[],[f4280,f3867]) ).
thf(f4317,plain,
( ( breln1compprop != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| spl1040_5 ),
inference(trivial_inequality_removal,[],[f4315]) ).
thf(f4319,plain,
( ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| spl1040_5 ),
inference(forward_subsumption_resolution,[],[f4317,f2607]) ).
thf(f4320,plain,
( ( ( breln1 @ sK192 @ sK194 )
!= $true )
| spl1040_5 ),
inference(forward_subsumption_resolution,[],[f4319,f2834]) ).
thf(f4321,plain,
( $false
| spl1040_5 ),
inference(forward_subsumption_resolution,[],[f4320,f2836]) ).
thf(f4322,plain,
spl1040_5,
inference(avatar_contradiction_clause,[],[f4321]) ).
thf(f4325,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) )
| ( ( breln1 @ sK192 @ sK193 )
!= $true )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( woz2A != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| spl1040_9 ),
inference(constrained_superposition,[],[f4313,f3791]) ).
thf(f4326,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) )
| ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( woz2A != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4325,f2835]) ).
thf(f4327,plain,
( ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( woz2A != $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) )
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4326,f2834]) ).
thf(f4328,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) )
| ( woz2A != $true )
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4327,f2836]) ).
thf(f4329,plain,
( ( ( breln1compset @ sK192 @ ( binunion @ sK191 @ sK193 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) )
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4328,f2875]) ).
thf(f4336,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK191 )
!= $true )
| ( ( breln1 @ X0 @ sK193 )
!= $true )
| ( breln1unionCommutes != $true )
| ( ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 )
!= ( breln1compset @ sK192 @ ( binunion @ sK193 @ sK191 ) @ sK194 ) ) )
| spl1040_9 ),
inference(constrained_superposition,[],[f4329,f3378]) ).
thf(f4337,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK193 )
!= $true )
| ( breln1unionCommutes != $true )
| ( ( breln1 @ X0 @ sK191 )
!= $true ) )
| spl1040_9 ),
inference(trivial_inequality_removal,[],[f4336]) ).
thf(f4339,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK193 )
!= $true )
| ( ( breln1 @ X0 @ sK191 )
!= $true ) )
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4337,f2645]) ).
thf(f4355,plain,
( ( ( breln1 @ sK192 @ sK191 )
!= $true )
| ( $true != $true )
| spl1040_9 ),
inference(constrained_superposition,[],[f4339,f2835]) ).
thf(f4360,plain,
( ( ( breln1 @ sK192 @ sK191 )
!= $true )
| spl1040_9 ),
inference(trivial_inequality_removal,[],[f4355]) ).
thf(f4371,plain,
( $false
| spl1040_9 ),
inference(forward_subsumption_resolution,[],[f4360,f2834]) ).
thf(f4372,plain,
spl1040_9,
inference(avatar_contradiction_clause,[],[f4371]) ).
thf(f4379,plain,
( ( breln1compprop != $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ sK192 @ sK193 )
!= $true )
| spl1040_2 ),
inference(constrained_superposition,[],[f4258,f3867]) ).
thf(f4381,plain,
( ( ( breln1 @ sK192 @ sK193 )
!= $true )
| ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( breln1compprop != $true )
| spl1040_2 ),
inference(trivial_inequality_removal,[],[f4379]) ).
thf(f4383,plain,
( ( ( breln1 @ sK192 @ sK194 )
!= $true )
| ( breln1compprop != $true )
| spl1040_2 ),
inference(forward_subsumption_resolution,[],[f4381,f2835]) ).
thf(f4384,plain,
( ( breln1compprop != $true )
| spl1040_2 ),
inference(forward_subsumption_resolution,[],[f4383,f2836]) ).
thf(f4385,plain,
( $false
| spl1040_2 ),
inference(forward_subsumption_resolution,[],[f4384,f2607]) ).
thf(f4386,plain,
spl1040_2,
inference(avatar_contradiction_clause,[],[f4385]) ).
cnf(s1,plain,
( ~ spl1040_1
| ~ spl1040_2 ),
inference(sat_conversion,[],[f4259]) ).
cnf(s7,plain,
( spl1040_1
| ~ spl1040_5
| ~ spl1040_9 ),
inference(sat_conversion,[],[f4314]) ).
cnf(s8,plain,
spl1040_5,
inference(sat_conversion,[],[f4322]) ).
cnf(s12,plain,
spl1040_9,
inference(sat_conversion,[],[f4372]) ).
cnf(s14,plain,
spl1040_2,
inference(sat_conversion,[],[f4386]) ).
cnf(s15,plain,
spl1040_1,
inference(rat,[],[s7,s12,s8]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s14,s15]) ).
thf(f4387,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU792^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n019.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 14:29:48 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running higher-order theorem proving
% 0.31/0.44 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
% 1.28/0.67 % (857786)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.28/0.67 % (857793)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3474660659:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.28/0.67 % (857791)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1330934216:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.28/0.67 % (857793)Instruction limit reached!
% 1.28/0.67 % (857793)------------------------------
% 1.28/0.67 % (857793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.67 % (857793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.67 % (857793)CaDiCaL version: 2.1.3
% 1.28/0.67 % (857793)Termination reason: Instruction limit
% 1.28/0.67 % (857793)Termination phase: shuffling
% 1.28/0.67 % (857793)Time elapsed: 0.002 s
% 1.28/0.67 % (857793)Peak memory usage: 10 MB
% 1.28/0.67 % (857793)Instructions burned: 3 (million)
% 1.28/0.67 % (857797)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.28/0.67 % (857797)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
% 1.28/0.67 % (857796)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=304621276:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.28/0.67 % (857792)lrs+10_16_si=on:nwc=1.5:random_seed=3950245290:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.28/0.67 % (857795)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2662536653:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.28/0.67 % (857794)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=1304614629:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.28/0.67 % (857797)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=4106864:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.28/0.67 % (857792)Instruction limit reached!
% 1.28/0.67 % (857792)------------------------------
% 1.28/0.67 % (857792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.67 % (857792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.67 % (857792)CaDiCaL version: 2.1.3
% 1.28/0.67 % (857792)Termination reason: Instruction limit
% 1.28/0.67 % (857792)Termination phase: shuffling
% 1.28/0.67 % (857792)Time elapsed: 0.016 s
% 1.28/0.67 % (857792)Peak memory usage: 11 MB
% 1.28/0.67 % (857792)Instructions burned: 19 (million)
% 1.28/0.67 % (857795)Instruction limit reached!
% 1.28/0.67 % (857795)------------------------------
% 1.28/0.67 % (857795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.67 % (857795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.67 % (857795)CaDiCaL version: 2.1.3
% 1.28/0.67 % (857795)Termination reason: Instruction limit
% 1.28/0.67 % (857795)Termination phase: shuffling
% 1.28/0.67 % (857795)Time elapsed: 0.020 s
% 1.28/0.67 % (857795)Peak memory usage: 10 MB
% 1.28/0.67 % (857795)Instructions burned: 24 (million)
% 1.28/0.67 % (857800)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1077530595:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.67 % (857800)Instruction limit reached!
% 1.28/0.67 % (857800)------------------------------
% 1.28/0.67 % (857800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.67 % (857800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.67 % (857800)CaDiCaL version: 2.1.3
% 1.28/0.67 % (857800)Termination reason: Instruction limit
% 1.28/0.67 % (857800)Termination phase: shuffling
% 1.28/0.67 % (857800)Time elapsed: 0.004 s
% 1.28/0.67 % (857800)Peak memory usage: 10 MB
% 1.28/0.67 % (857800)Instructions burned: 4 (million)
% 1.28/0.67 % (857791)Instruction limit reached!
% 1.28/0.67 % (857791)------------------------------
% 1.28/0.67 % (857791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.67 % (857791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857791)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857791)Termination reason: Instruction limit
% 1.60/0.72 % (857791)Termination phase: Preprocessing 3
% 1.60/0.72 % (857791)Time elapsed: 0.042 s
% 1.60/0.72 % (857791)Peak memory usage: 12 MB
% 1.60/0.72 % (857791)Instructions burned: 87 (million)
% 1.60/0.72 % (857810)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
% 1.60/0.72 % (857810)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.60/0.72 % (857806)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=472439439:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.60/0.72 % (857810)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1854314355:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.60/0.72 % (857808)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.60/0.72 % (857806)Instruction limit reached!
% 1.60/0.72 % (857806)------------------------------
% 1.60/0.72 % (857806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.72 % (857806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857806)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857806)Termination reason: Instruction limit
% 1.60/0.72 % (857806)Termination phase: shuffling
% 1.60/0.72 % (857806)Time elapsed: 0.005 s
% 1.60/0.72 % (857806)Peak memory usage: 10 MB
% 1.60/0.72 % (857806)Instructions burned: 5 (million)
% 1.60/0.72 % (857796)Instruction limit reached!
% 1.60/0.72 % (857796)------------------------------
% 1.60/0.72 % (857796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.72 % (857796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857796)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857796)Termination reason: Instruction limit
% 1.60/0.72 % (857796)Termination phase: shuffling
% 1.60/0.72 % (857796)Time elapsed: 0.059 s
% 1.60/0.72 % (857796)Peak memory usage: 12 MB
% 1.60/0.72 % (857796)Instructions burned: 76 (million)
% 1.60/0.72 % (857808)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3525334059:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.60/0.72 % (857810)Instruction limit reached!
% 1.60/0.72 % (857810)------------------------------
% 1.60/0.72 % (857810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.72 % (857810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857810)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857810)Termination reason: Instruction limit
% 1.60/0.72 % (857810)Termination phase: shuffling
% 1.60/0.72 % (857810)Time elapsed: 0.013 s
% 1.60/0.72 % (857810)Peak memory usage: 11 MB
% 1.60/0.72 % (857810)Instructions burned: 30 (million)
% 1.60/0.72 % (857809)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1771450264:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.60/0.72 % (857808)Instruction limit reached!
% 1.60/0.72 % (857808)------------------------------
% 1.60/0.72 % (857808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.72 % (857808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857808)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857808)Termination reason: Instruction limit
% 1.60/0.72 % (857808)Termination phase: shuffling
% 1.60/0.72 % (857808)Time elapsed: 0.007 s
% 1.60/0.72 % (857808)Peak memory usage: 10 MB
% 1.60/0.72 % (857808)Instructions burned: 7 (million)
% 1.60/0.72 % (857809)Instruction limit reached!
% 1.60/0.72 % (857809)------------------------------
% 1.60/0.72 % (857809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.72 % (857809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.72 % (857809)CaDiCaL version: 2.1.3
% 1.60/0.72 % (857809)Termination reason: Instruction limit
% 1.60/0.72 % (857809)Termination phase: shuffling
% 1.60/0.72 % (857809)Time elapsed: 0.011 s
% 1.60/0.72 % (857809)Peak memory usage: 10 MB
% 1.60/0.72 % (857809)Instructions burned: 12 (million)
% 1.60/0.77 % (857816)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.60/0.77 % (857816)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=4142133210:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.60/0.77 % (857813)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=3910837148:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.60/0.77 % (857816)Instruction limit reached!
% 1.60/0.77 % (857816)------------------------------
% 1.60/0.77 % (857816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.77 % (857816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.77 % (857816)CaDiCaL version: 2.1.3
% 1.60/0.77 % (857816)Termination reason: Instruction limit
% 1.60/0.77 % (857816)Termination phase: shuffling
% 1.60/0.77 % (857816)Time elapsed: 0.002 s
% 1.60/0.77 % (857816)Peak memory usage: 10 MB
% 1.60/0.77 % (857816)Instructions burned: 4 (million)
% 1.60/0.77 % (857818)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=486660921:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.60/0.77 % (857815)lrs+10_1_si=on:cs=on:random_seed=3403847213:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.60/0.77 % (857815)Instruction limit reached!
% 1.60/0.77 % (857815)------------------------------
% 1.60/0.77 % (857815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.77 % (857815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.77 % (857815)CaDiCaL version: 2.1.3
% 1.60/0.77 % (857815)Termination reason: Instruction limit
% 1.60/0.77 % (857815)Termination phase: shuffling
% 1.60/0.77 % (857815)Time elapsed: 0.008 s
% 1.60/0.77 % (857815)Peak memory usage: 10 MB
% 1.60/0.77 % (857815)Instructions burned: 9 (million)
% 1.60/0.77 % (857822)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=325010477:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.60/0.77 % (857819)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2639736376:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.60/0.77 % (857818)Instruction limit reached!
% 1.60/0.77 % (857818)------------------------------
% 1.60/0.77 % (857818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.77 % (857818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.77 % (857818)CaDiCaL version: 2.1.3
% 1.60/0.77 % (857818)Termination reason: Instruction limit
% 1.60/0.77 % (857818)Termination phase: Property scanning
% 1.60/0.77 % (857818)Time elapsed: 0.023 s
% 1.60/0.77 % (857818)Peak memory usage: 11 MB
% 1.60/0.77 % (857818)Instructions burned: 39 (million)
% 1.60/0.77 % (857822)Instruction limit reached!
% 1.60/0.77 % (857822)------------------------------
% 1.60/0.77 % (857822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.77 % (857822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.77 % (857822)CaDiCaL version: 2.1.3
% 1.60/0.77 % (857822)Termination reason: Instruction limit
% 1.60/0.77 % (857822)Termination phase: Property scanning
% 1.60/0.77 % (857822)Time elapsed: 0.015 s
% 1.60/0.77 % (857822)Peak memory usage: 11 MB
% 1.60/0.77 % (857822)Instructions burned: 34 (million)
% 1.60/0.77 % (857797)Instruction limit reached!
% 1.60/0.77 % (857797)------------------------------
% 1.60/0.77 % (857797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.77 % (857797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.77 % (857797)CaDiCaL version: 2.1.3
% 1.60/0.77 % (857797)Termination reason: Instruction limit
% 1.60/0.77 % (857797)Termination phase: Twee Goal Transformation
% 1.60/0.77 % (857797)Time elapsed: 0.125 s
% 1.60/0.77 % (857797)Peak memory usage: 13 MB
% 1.60/0.77 % (857797)Instructions burned: 158 (million)
% 1.60/0.77 % (857825)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2665158637:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.60/0.77 % (857829)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2478003712:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.09/0.90 % (857825)Instruction limit reached!
% 2.09/0.90 % (857825)------------------------------
% 2.09/0.90 % (857825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.90 % (857825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.90 % (857825)CaDiCaL version: 2.1.3
% 2.09/0.90 % (857825)Termination reason: Instruction limit
% 2.09/0.90 % (857825)Termination phase: shuffling
% 2.09/0.90 % (857825)Time elapsed: 0.012 s
% 2.09/0.90 % (857825)Peak memory usage: 10 MB
% 2.09/0.90 % (857825)Instructions burned: 14 (million)
% 2.09/0.90 % (857829)Instruction limit reached!
% 2.09/0.90 % (857829)------------------------------
% 2.09/0.90 % (857829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.90 % (857829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.90 % (857829)CaDiCaL version: 2.1.3
% 2.09/0.90 % (857829)Termination reason: Instruction limit
% 2.09/0.90 % (857829)Termination phase: shuffling
% 2.09/0.90 % (857829)Time elapsed: 0.007 s
% 2.09/0.90 % (857829)Peak memory usage: 10 MB
% 2.09/0.90 % (857829)Instructions burned: 14 (million)
% 2.09/0.90 % (857828)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1618977205:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.09/0.90 % (857831)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3147964129:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.09/0.90 % (857831)Instruction limit reached!
% 2.09/0.90 % (857831)------------------------------
% 2.09/0.90 % (857831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.90 % (857831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.90 % (857831)CaDiCaL version: 2.1.3
% 2.09/0.90 % (857831)Termination reason: Instruction limit
% 2.09/0.90 % (857831)Termination phase: shuffling
% 2.09/0.90 % (857831)Time elapsed: 0.002 s
% 2.09/0.90 % (857831)Peak memory usage: 10 MB
% 2.09/0.90 % (857831)Instructions burned: 4 (million)
% 2.09/0.90 % (857813)Instruction limit reached!
% 2.09/0.90 % (857813)------------------------------
% 2.09/0.90 % (857813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.90 % (857813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.90 % (857813)CaDiCaL version: 2.1.3
% 2.09/0.90 % (857813)Termination reason: Instruction limit
% 2.09/0.90 % (857813)Termination phase: Property scanning
% 2.09/0.90 % (857813)Time elapsed: 0.069 s
% 2.09/0.90 % (857813)Peak memory usage: 11 MB
% 2.09/0.90 % (857813)Instructions burned: 86 (million)
% 2.09/0.90 % (857834)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3343690564:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.09/0.90 % (857837)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3565895825:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.09/0.90 % (857833)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=354242716:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.09/0.90 % (857834)Instruction limit reached!
% 2.09/0.90 % (857834)------------------------------
% 2.09/0.90 % (857834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.90 % (857834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.90 % (857834)CaDiCaL version: 2.1.3
% 2.09/0.90 % (857834)Termination reason: Instruction limit
% 2.09/0.90 % (857834)Termination phase: shuffling
% 2.09/0.90 % (857834)Time elapsed: 0.011 s
% 2.09/0.90 % (857834)Peak memory usage: 11 MB
% 2.09/0.90 % (857834)Instructions burned: 24 (million)
% 2.09/0.90 % (857838)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.09/0.90 % (857838)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.09/0.90 % (857838)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=1457056968:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.52/1.02 % (857842)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.52/1.02 % (857833)Instruction limit reached!
% 2.52/1.02 % (857833)------------------------------
% 2.52/1.02 % (857833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857833)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857833)Termination reason: Instruction limit
% 2.52/1.02 % (857833)Termination phase: shuffling
% 2.52/1.02 % (857833)Time elapsed: 0.022 s
% 2.52/1.02 % (857833)Peak memory usage: 11 MB
% 2.52/1.02 % (857833)Instructions burned: 26 (million)
% 2.52/1.02 % (857842)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=4242695754:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.52/1.02 % (857838)Instruction limit reached!
% 2.52/1.02 % (857838)------------------------------
% 2.52/1.02 % (857838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857838)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857838)Termination reason: Instruction limit
% 2.52/1.02 % (857838)Termination phase: shuffling
% 2.52/1.02 % (857838)Time elapsed: 0.013 s
% 2.52/1.02 % (857838)Peak memory usage: 10 MB
% 2.52/1.02 % (857838)Instructions burned: 15 (million)
% 2.52/1.02 % (857842)Instruction limit reached!
% 2.52/1.02 % (857842)------------------------------
% 2.52/1.02 % (857842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857842)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857842)Termination reason: Instruction limit
% 2.52/1.02 % (857842)Termination phase: shuffling
% 2.52/1.02 % (857842)Time elapsed: 0.004 s
% 2.52/1.02 % (857842)Peak memory usage: 10 MB
% 2.52/1.02 % (857842)Instructions burned: 8 (million)
% 2.52/1.02 % (857844)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=2325409220:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.52/1.02 % (857847)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2229140808:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.52/1.02 % (857837)Instruction limit reached!
% 2.52/1.02 % (857837)------------------------------
% 2.52/1.02 % (857837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857837)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857837)Termination reason: Instruction limit
% 2.52/1.02 % (857837)Termination phase: Naming
% 2.52/1.02 % (857837)Time elapsed: 0.051 s
% 2.52/1.02 % (857837)Peak memory usage: 11 MB
% 2.52/1.02 % (857837)Instructions burned: 61 (million)
% 2.52/1.02 % (857846)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4260782820:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/1.02 % (857847)Instruction limit reached!
% 2.52/1.02 % (857847)------------------------------
% 2.52/1.02 % (857847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857847)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857847)Termination reason: Instruction limit
% 2.52/1.02 % (857847)Termination phase: shuffling
% 2.52/1.02 % (857847)Time elapsed: 0.011 s
% 2.52/1.02 % (857847)Peak memory usage: 11 MB
% 2.52/1.02 % (857847)Instructions burned: 24 (million)
% 2.52/1.02 % (857844)Instruction limit reached!
% 2.52/1.02 % (857844)------------------------------
% 2.52/1.02 % (857844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/1.02 % (857844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.02 % (857844)CaDiCaL version: 2.1.3
% 2.52/1.02 % (857844)Termination reason: Instruction limit
% 2.52/1.02 % (857844)Termination phase: shuffling
% 2.52/1.02 % (857844)Time elapsed: 0.021 s
% 2.52/1.02 % (857844)Peak memory usage: 11 MB
% 2.52/1.02 % (857844)Instructions burned: 31 (million)
% 2.52/1.02 % (857846)Instruction limit reached!
% 2.52/1.02 % (857846)------------------------------
% 4.12/1.11 % (857846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.11 % (857846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.11 % (857846)CaDiCaL version: 2.1.3
% 4.12/1.11 % (857846)Termination reason: Instruction limit
% 4.12/1.11 % (857846)Termination phase: shuffling
% 4.12/1.11 % (857846)Time elapsed: 0.007 s
% 4.12/1.11 % (857846)Peak memory usage: 10 MB
% 4.12/1.11 % (857846)Instructions burned: 7 (million)
% 4.12/1.11 % (857852)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=602013665:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 4.12/1.11 % (857850)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2189966986:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 4.12/1.11 % (857853)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3027869450:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 4.12/1.11 % (857850)Instruction limit reached!
% 4.12/1.11 % (857850)------------------------------
% 4.12/1.11 % (857850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.11 % (857850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.11 % (857850)CaDiCaL version: 2.1.3
% 4.12/1.11 % (857850)Termination reason: Instruction limit
% 4.12/1.11 % (857850)Termination phase: shuffling
% 4.12/1.11 % (857850)Time elapsed: 0.018 s
% 4.12/1.11 % (857850)Peak memory usage: 10 MB
% 4.12/1.11 % (857850)Instructions burned: 20 (million)
% 4.12/1.11 % (857854)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1586374438:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 4.12/1.11 % (857858)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3288391058:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 4.12/1.11 % (857819)Instruction limit reached!
% 4.12/1.11 % (857819)------------------------------
% 4.12/1.11 % (857819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.11 % (857819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.11 % (857819)CaDiCaL version: 2.1.3
% 4.12/1.11 % (857819)Termination reason: Instruction limit
% 4.12/1.11 % (857819)Termination phase: Saturation
% 4.12/1.11 % (857819)Time elapsed: 0.197 s
% 4.12/1.11 % (857819)Peak memory usage: 14 MB
% 4.12/1.11 % (857819)Instructions burned: 250 (million)
% 4.12/1.11 % (857861)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.12/1.11 % (857861)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2616460788:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 4.12/1.11 % (857858)Instruction limit reached!
% 4.12/1.11 % (857858)------------------------------
% 4.12/1.11 % (857858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.11 % (857858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.11 % (857858)CaDiCaL version: 2.1.3
% 4.12/1.11 % (857858)Termination reason: Instruction limit
% 4.12/1.11 % (857858)Termination phase: shuffling
% 4.12/1.11 % (857858)Time elapsed: 0.035 s
% 4.12/1.11 % (857858)Peak memory usage: 11 MB
% 4.12/1.11 % (857858)Instructions burned: 42 (million)
% 4.12/1.11 % (857861)Instruction limit reached!
% 4.12/1.11 % (857861)------------------------------
% 4.12/1.11 % (857861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.11 % (857861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.11 % (857861)CaDiCaL version: 2.1.3
% 4.12/1.11 % (857861)Termination reason: Instruction limit
% 4.12/1.11 % (857861)Termination phase: shuffling
% 4.12/1.11 % (857861)Time elapsed: 0.005 s
% 4.12/1.11 % (857861)Peak memory usage: 10 MB
% 4.12/1.11 % (857861)Instructions burned: 7 (million)
% 4.12/1.11 % (857864)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=2961751613:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 4.12/1.11 % (857853)Instruction limit reached!
% 4.12/1.11 % (857853)------------------------------
% 4.12/1.11 % (857853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857853)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857853)Termination reason: Instruction limit
% 4.98/1.26 % (857853)Termination phase: Twee Goal Transformation
% 4.98/1.26 % (857853)Time elapsed: 0.109 s
% 4.98/1.26 % (857853)Peak memory usage: 12 MB
% 4.98/1.26 % (857853)Instructions burned: 144 (million)
% 4.98/1.26 % (857863)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=725723272:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 4.98/1.26 % (857866)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.98/1.26 % (857866)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3149763826:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 4.98/1.26 % (857828)Instruction limit reached!
% 4.98/1.26 % (857828)------------------------------
% 4.98/1.26 % (857828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857828)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857828)Termination reason: Instruction limit
% 4.98/1.26 % (857828)Termination phase: Saturation
% 4.98/1.26 % (857828)Time elapsed: 0.255 s
% 4.98/1.26 % (857828)Peak memory usage: 15 MB
% 4.98/1.26 % (857828)Instructions burned: 327 (million)
% 4.98/1.26 % (857866)Instruction limit reached!
% 4.98/1.26 % (857866)------------------------------
% 4.98/1.26 % (857866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857866)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857866)Termination reason: Instruction limit
% 4.98/1.26 % (857866)Termination phase: shuffling
% 4.98/1.26 % (857866)Time elapsed: 0.006 s
% 4.98/1.26 % (857866)Peak memory usage: 10 MB
% 4.98/1.26 % (857866)Instructions burned: 7 (million)
% 4.98/1.26 % (857854)Instruction limit reached!
% 4.98/1.26 % (857854)------------------------------
% 4.98/1.26 % (857854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857854)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857854)Termination reason: Instruction limit
% 4.98/1.26 % (857854)Termination phase: Property scanning
% 4.98/1.26 % (857854)Time elapsed: 0.145 s
% 4.98/1.26 % (857854)Peak memory usage: 13 MB
% 4.98/1.26 % (857854)Instructions burned: 193 (million)
% 4.98/1.26 % (857870)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2037555898:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.98/1.26 % (857869)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3278428025:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.98/1.26 % (857871)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=368991993:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 4.98/1.26 % (857870)Instruction limit reached!
% 4.98/1.26 % (857870)------------------------------
% 4.98/1.26 % (857870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857870)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857870)Termination reason: Instruction limit
% 4.98/1.26 % (857870)Termination phase: shuffling
% 4.98/1.26 % (857870)Time elapsed: 0.017 s
% 4.98/1.26 % (857870)Peak memory usage: 10 MB
% 4.98/1.26 % (857870)Instructions burned: 20 (million)
% 4.98/1.26 % (857869)Instruction limit reached!
% 4.98/1.26 % (857869)------------------------------
% 4.98/1.26 % (857869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.26 % (857869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26 % (857869)CaDiCaL version: 2.1.3
% 4.98/1.26 % (857869)Termination reason: Instruction limit
% 4.98/1.26 % (857869)Termination phase: shuffling
% 4.98/1.26 % (857869)Time elapsed: 0.019 s
% 4.98/1.26 % (857869)Peak memory usage: 10 MB
% 4.98/1.26 % (857869)Instructions burned: 22 (million)
% 4.98/1.26 % (857875)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=1939938315:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 5.96/1.42 % (857864)Instruction limit reached!
% 5.96/1.42 % (857864)------------------------------
% 5.96/1.42 % (857864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857864)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857864)Termination reason: Instruction limit
% 5.96/1.42 % (857864)Termination phase: Property scanning
% 5.96/1.42 % (857864)Time elapsed: 0.130 s
% 5.96/1.42 % (857864)Peak memory usage: 12 MB
% 5.96/1.42 % (857864)Instructions burned: 169 (million)
% 5.96/1.42 % (857876)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=815056296:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 5.96/1.42 % (857863)Instruction limit reached!
% 5.96/1.42 % (857863)------------------------------
% 5.96/1.42 % (857863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857863)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857863)Termination reason: Instruction limit
% 5.96/1.42 % (857863)Termination phase: Property scanning
% 5.96/1.42 % (857863)Time elapsed: 0.141 s
% 5.96/1.42 % (857863)Peak memory usage: 12 MB
% 5.96/1.42 % (857863)Instructions burned: 181 (million)
% 5.96/1.42 % (857879)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=310525156:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.96/1.42 % (857876)Instruction limit reached!
% 5.96/1.42 % (857876)------------------------------
% 5.96/1.42 % (857876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857876)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857876)Termination reason: Instruction limit
% 5.96/1.42 % (857876)Termination phase: shuffling
% 5.96/1.42 % (857876)Time elapsed: 0.038 s
% 5.96/1.42 % (857876)Peak memory usage: 11 MB
% 5.96/1.42 % (857876)Instructions burned: 45 (million)
% 5.96/1.42 % (857880)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3179427311:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.96/1.42 % (857880)Instruction limit reached!
% 5.96/1.42 % (857880)------------------------------
% 5.96/1.42 % (857880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857880)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857880)Termination reason: Instruction limit
% 5.96/1.42 % (857880)Termination phase: shuffling
% 5.96/1.42 % (857880)Time elapsed: 0.012 s
% 5.96/1.42 % (857880)Peak memory usage: 10 MB
% 5.96/1.42 % (857880)Instructions burned: 23 (million)
% 5.96/1.42 % (857882)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.96/1.42 % (857794)Instruction limit reached!
% 5.96/1.42 % (857794)------------------------------
% 5.96/1.42 % (857794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857794)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857794)Termination reason: Instruction limit
% 5.96/1.42 % (857794)Termination phase: Saturation
% 5.96/1.42 % (857794)Time elapsed: 0.560 s
% 5.96/1.42 % (857794)Peak memory usage: 22 MB
% 5.96/1.42 % (857794)Instructions burned: 634 (million)
% 5.96/1.42 % (857882)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3910911835:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/200Mi)
% 5.96/1.42 % (857884)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3489404768:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 5.96/1.42 % (857884)Instruction limit reached!
% 5.96/1.42 % (857884)------------------------------
% 5.96/1.42 % (857884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857884)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857884)Termination reason: Instruction limit
% 5.96/1.42 % (857884)Termination phase: shuffling
% 5.96/1.42 % (857884)Time elapsed: 0.007 s
% 5.96/1.42 % (857884)Peak memory usage: 10 MB
% 5.96/1.42 % (857884)Instructions burned: 14 (million)
% 5.96/1.42 % (857885)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=2877248215:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.96/1.42 % (857888)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2337490992:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 5.96/1.42 % (857888)Instruction limit reached!
% 5.96/1.42 % (857888)------------------------------
% 5.96/1.42 % (857888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857888)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857888)Termination reason: Instruction limit
% 5.96/1.42 % (857888)Termination phase: Property scanning
% 5.96/1.42 % (857888)Time elapsed: 0.041 s
% 5.96/1.42 % (857888)Peak memory usage: 11 MB
% 5.96/1.42 % (857888)Instructions burned: 51 (million)
% 5.96/1.42 % (857885)Instruction limit reached!
% 5.96/1.42 % (857885)------------------------------
% 5.96/1.42 % (857885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857885)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857885)Termination reason: Instruction limit
% 5.96/1.42 % (857885)Termination phase: Property scanning
% 5.96/1.42 % (857885)Time elapsed: 0.054 s
% 5.96/1.42 % (857885)Peak memory usage: 11 MB
% 5.96/1.42 % (857885)Instructions burned: 67 (million)
% 5.96/1.42 % (857891)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2682205646:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.96/1.42 % (857893)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4183921939:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2992 on theBenchmark for (2992ds/137Mi)
% 5.96/1.42 % (857891)Instruction limit reached!
% 5.96/1.42 % (857891)------------------------------
% 5.96/1.42 % (857891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857891)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857891)Termination reason: Instruction limit
% 5.96/1.42 % (857891)Termination phase: shuffling
% 5.96/1.42 % (857891)Time elapsed: 0.023 s
% 5.96/1.42 % (857891)Peak memory usage: 11 MB
% 5.96/1.42 % (857891)Instructions burned: 32 (million)
% 5.96/1.42 % (857871)Instruction limit reached!
% 5.96/1.42 % (857871)------------------------------
% 5.96/1.42 % (857871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857871)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857871)Termination reason: Instruction limit
% 5.96/1.42 % (857871)Termination phase: Saturation
% 5.96/1.42 % (857871)Time elapsed: 0.253 s
% 5.96/1.42 % (857871)Peak memory usage: 16 MB
% 5.96/1.42 % (857871)Instructions burned: 316 (million)
% 5.96/1.42 % (857897)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=2447184248:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.96/1.42 % (857897)Instruction limit reached!
% 5.96/1.42 % (857897)------------------------------
% 5.96/1.42 % (857897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857897)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857897)Termination reason: Instruction limit
% 5.96/1.42 % (857897)Termination phase: shuffling
% 5.96/1.42 % (857897)Time elapsed: 0.017 s
% 5.96/1.42 % (857897)Peak memory usage: 11 MB
% 5.96/1.42 % (857897)Instructions burned: 34 (million)
% 5.96/1.42 % (857882)Instruction limit reached!
% 5.96/1.42 % (857882)------------------------------
% 5.96/1.42 % (857882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857882)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857882)Termination reason: Instruction limit
% 5.96/1.42 % (857882)Termination phase: Saturation
% 5.96/1.42 % (857882)Time elapsed: 0.162 s
% 5.96/1.42 % (857882)Peak memory usage: 13 MB
% 5.96/1.42 % (857882)Instructions burned: 200 (million)
% 5.96/1.42 % (857898)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1480773149:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 5.96/1.42 % (857900)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.96/1.42 % (857900)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1096791121:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2991 on theBenchmark for (2991ds/180Mi)
% 5.96/1.42 % (857901)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3812792855:st=2:i=246:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/246Mi)
% 5.96/1.42 % (857898)Instruction limit reached!
% 5.96/1.42 % (857898)------------------------------
% 5.96/1.42 % (857898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857898)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857898)Termination reason: Instruction limit
% 5.96/1.42 % (857898)Termination phase: Property scanning
% 5.96/1.42 % (857898)Time elapsed: 0.054 s
% 5.96/1.42 % (857898)Peak memory usage: 11 MB
% 5.96/1.42 % (857898)Instructions burned: 67 (million)
% 5.96/1.42 % (857852)Instruction limit reached!
% 5.96/1.42 % (857852)------------------------------
% 5.96/1.42 % (857852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857852)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857852)Termination reason: Instruction limit
% 5.96/1.42 % (857852)Termination phase: Saturation
% 5.96/1.42 % (857852)Time elapsed: 0.544 s
% 5.96/1.42 % (857852)Peak memory usage: 20 MB
% 5.96/1.42 % (857852)Instructions burned: 1243 (million)
% 5.96/1.42 % (857893)Instruction limit reached!
% 5.96/1.42 % (857893)------------------------------
% 5.96/1.42 % (857893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857893)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857893)Termination reason: Instruction limit
% 5.96/1.42 % (857893)Termination phase: Twee Goal Transformation
% 5.96/1.42 % (857893)Time elapsed: 0.109 s
% 5.96/1.42 % (857893)Peak memory usage: 12 MB
% 5.96/1.42 % (857893)Instructions burned: 138 (million)
% 5.96/1.42 % (857905)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2374776203:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 5.96/1.42 % (857906)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1808969644:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 5.96/1.42 % (857907)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3457314735:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 5.96/1.42 % (857905)Instruction limit reached!
% 5.96/1.42 % (857905)------------------------------
% 5.96/1.42 % (857905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857905)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857905)Termination reason: Instruction limit
% 5.96/1.42 % (857905)Termination phase: Property scanning
% 5.96/1.42 % (857905)Time elapsed: 0.045 s
% 5.96/1.42 % (857905)Peak memory usage: 12 MB
% 5.96/1.42 % (857905)Instructions burned: 98 (million)
% 5.96/1.42 % (857879) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-857786-857879"...
% 5.96/1.42 % (857900)Instruction limit reached!
% 5.96/1.42 % (857900)------------------------------
% 5.96/1.42 % (857900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.42 % (857900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.42 % (857900)CaDiCaL version: 2.1.3
% 5.96/1.42 % (857900)Termination reason: Instruction limit
% 5.96/1.42 % (857900)Termination phase: Property scanning
% 5.96/1.42 % (857900)Time elapsed: 0.130 s
% 5.96/1.42 % (857900)Peak memory usage: 11 MB
% 5.96/1.42 % (857900)Instructions burned: 180 (million)
% 5.96/1.42 % (857879)...printing done.
% 5.96/1.42 % (857879)Refutation found. Thanks to Tanya!
% 5.96/1.42 % SZS status Theorem for theBenchmark
% 5.96/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 5.96/1.43 % (857879)------------------------------
% 5.96/1.43 % (857879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.43 % (857879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.43 % (857879)CaDiCaL version: 2.1.3
% 5.96/1.43 % (857879)Termination reason: Refutation
% 5.96/1.43 % (857879)Time elapsed: 0.355 s
% 5.96/1.43 % (857879)Peak memory usage: 19 MB
% 5.96/1.43 % (857879)Instructions burned: 403 (million)
% 5.96/1.43 % (857786)Success in time 0.966 s
% 5.96/1.43 % Vampire exiting
%------------------------------------------------------------------------------