%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU730^1 : 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 : n014.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 08:31:00 AM UTC 2026
% Result : Theorem 160.32s 23.82s
% Output : Refutation 160.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 428
% Number of leaves : 286
% Syntax : Number of formulae : 1505 ( 945 unt; 0 typ; 248 def)
% Number of atoms : 8905 (2178 equ; 0 cnn)
% Maximal formula atoms : 248 ( 5 avg)
% Number of connectives : 5181 ( 80 ~; 568 |; 38 &;1959 @)
% ( 4 <=>;2213 =>; 0 <=; 0 <~>)
% Maximal formula depth : 256 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 142 ( 142 >; 0 *; 0 +; 0 <<)
% Number of symbols : 594 ( 589 usr; 502 con; 0-4 aty)
% ( 288 !!; 31 ??; 0 @@+; 0 @@-)
% Number of variables : 662 ( 409 ^; 239 !; 14 ?; 662 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_286,type,
vIMP: $o > $o > $o ).
thf(func_def_287,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_288,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_289,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_290,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_291,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_292,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_293,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_294,type,
vAND: $o > $o > $o ).
thf(func_def_297,type,
vNOT: $o > $o ).
thf(func_def_298,type,
vIFF: $o > $o > $o ).
thf(func_def_299,type,
vOR: $o > $o > $o ).
thf(func_def_300,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_301,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_302,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_303,type,
sF0: $o ).
thf(func_def_304,type,
sF1: $o ).
thf(func_def_305,type,
sF2: $o ).
thf(func_def_306,type,
sF3: $o ).
thf(func_def_307,type,
sF4: $o ).
thf(func_def_308,type,
sF5: $o ).
thf(func_def_309,type,
sF6: $o ).
thf(func_def_310,type,
sF7: $o ).
thf(func_def_311,type,
sF8: $o ).
thf(func_def_312,type,
sF9: $o ).
thf(func_def_313,type,
sF10: $o ).
thf(func_def_314,type,
sF11: $o ).
thf(func_def_315,type,
sF12: $o ).
thf(func_def_316,type,
sF13: $o ).
thf(func_def_317,type,
sF14: $o ).
thf(func_def_318,type,
sF15: $o ).
thf(func_def_319,type,
sF16: $o ).
thf(func_def_320,type,
sF17: $o ).
thf(func_def_321,type,
sF18: $o ).
thf(func_def_322,type,
sF19: $o ).
thf(func_def_323,type,
sF20: $o ).
thf(func_def_324,type,
sF21: $o ).
thf(func_def_325,type,
sF22: $o ).
thf(func_def_326,type,
sF23: $o ).
thf(func_def_327,type,
sF24: $o ).
thf(func_def_328,type,
sF25: $o ).
thf(func_def_329,type,
sF26: $o ).
thf(func_def_330,type,
sF27: $o ).
thf(func_def_331,type,
sF28: $o ).
thf(func_def_332,type,
sF29: $o ).
thf(func_def_333,type,
sF30: $o ).
thf(func_def_334,type,
sF31: $o ).
thf(func_def_335,type,
sF32: $o ).
thf(func_def_336,type,
sF33: $o ).
thf(func_def_337,type,
sF34: $o ).
thf(func_def_338,type,
sF35: $o ).
thf(func_def_339,type,
sF36: $o ).
thf(func_def_340,type,
sF37: $o ).
thf(func_def_341,type,
sF38: $o ).
thf(func_def_342,type,
sF39: $o ).
thf(func_def_343,type,
sF40: $o ).
thf(func_def_344,type,
sF41: $o ).
thf(func_def_345,type,
sF42: $o ).
thf(func_def_346,type,
sF43: $o ).
thf(func_def_347,type,
sF44: $o ).
thf(func_def_348,type,
sF45: $o ).
thf(func_def_349,type,
sF46: $o ).
thf(func_def_350,type,
sF47: $o ).
thf(func_def_351,type,
sF48: $o ).
thf(func_def_352,type,
sF49: $o ).
thf(func_def_353,type,
sF50: $o ).
thf(func_def_354,type,
sF51: $o ).
thf(func_def_355,type,
sF52: $o ).
thf(func_def_356,type,
sF53: $o ).
thf(func_def_357,type,
sF54: $o ).
thf(func_def_358,type,
sF55: $o ).
thf(func_def_359,type,
sF56: $o ).
thf(func_def_360,type,
sF57: $o ).
thf(func_def_361,type,
sF58: $o ).
thf(func_def_362,type,
sF59: $o ).
thf(func_def_363,type,
sF60: $o ).
thf(func_def_364,type,
sF61: $o ).
thf(func_def_365,type,
sF62: $o ).
thf(func_def_366,type,
sF63: $o ).
thf(func_def_367,type,
sF64: $o ).
thf(func_def_368,type,
sF65: $o ).
thf(func_def_369,type,
sF66: $o ).
thf(func_def_370,type,
sF67: $o ).
thf(func_def_371,type,
sF68: $o ).
thf(func_def_372,type,
sF69: $o ).
thf(func_def_373,type,
sF70: $o ).
thf(func_def_374,type,
sF71: $o ).
thf(func_def_375,type,
sF72: $o ).
thf(func_def_376,type,
sF73: $o ).
thf(func_def_377,type,
sF74: $o ).
thf(func_def_378,type,
sF75: $o ).
thf(func_def_379,type,
sF76: $o ).
thf(func_def_380,type,
sF77: $o ).
thf(func_def_381,type,
sF78: $o ).
thf(func_def_382,type,
sF79: $o ).
thf(func_def_383,type,
sF80: $o ).
thf(func_def_384,type,
sF81: $o ).
thf(func_def_385,type,
sF82: $o ).
thf(func_def_386,type,
sF83: $o ).
thf(func_def_387,type,
sF84: $o ).
thf(func_def_388,type,
sF85: $o ).
thf(func_def_389,type,
sF86: $o ).
thf(func_def_390,type,
sF87: $o ).
thf(func_def_391,type,
sF88: $o ).
thf(func_def_392,type,
sF89: $o ).
thf(func_def_393,type,
sF90: $o ).
thf(func_def_394,type,
sF91: $o ).
thf(func_def_395,type,
sF92: $o ).
thf(func_def_396,type,
sF93: $o ).
thf(func_def_397,type,
sF94: $o ).
thf(func_def_398,type,
sF95: $o ).
thf(func_def_399,type,
sF96: $o ).
thf(func_def_400,type,
sF97: $o ).
thf(func_def_401,type,
sF98: $o ).
thf(func_def_402,type,
sF99: $o ).
thf(func_def_403,type,
sF100: $o ).
thf(func_def_404,type,
sF101: $o ).
thf(func_def_405,type,
sF102: $o ).
thf(func_def_406,type,
sF103: $o ).
thf(func_def_407,type,
sF104: $o ).
thf(func_def_408,type,
sF105: $o ).
thf(func_def_409,type,
sF106: $o ).
thf(func_def_410,type,
sF107: $o ).
thf(func_def_411,type,
sF108: $o ).
thf(func_def_412,type,
sF109: $o ).
thf(func_def_413,type,
sF110: $o ).
thf(func_def_414,type,
sF111: $o ).
thf(func_def_415,type,
sF112: $o ).
thf(func_def_416,type,
sF113: $o ).
thf(func_def_417,type,
sF114: $o ).
thf(func_def_418,type,
sF115: $o ).
thf(func_def_419,type,
sF116: $o ).
thf(func_def_420,type,
sF117: $o ).
thf(func_def_421,type,
sF118: $o ).
thf(func_def_422,type,
sF119: $o ).
thf(func_def_423,type,
sF120: $o ).
thf(func_def_424,type,
sF121: $o ).
thf(func_def_425,type,
sF122: $o ).
thf(func_def_426,type,
sF123: $o ).
thf(func_def_427,type,
sF124: $o ).
thf(func_def_428,type,
sF125: $o ).
thf(func_def_429,type,
sF126: $o ).
thf(func_def_430,type,
sF127: $o ).
thf(func_def_431,type,
sF128: $o ).
thf(func_def_432,type,
sF129: $o ).
thf(func_def_433,type,
sF130: $o ).
thf(func_def_434,type,
sF131: $o ).
thf(func_def_435,type,
sF132: $o ).
thf(func_def_436,type,
sF133: $o ).
thf(func_def_437,type,
sF134: $o ).
thf(func_def_438,type,
sF135: $o ).
thf(func_def_439,type,
sF136: $o ).
thf(func_def_440,type,
sF137: $o ).
thf(func_def_441,type,
sF138: $o ).
thf(func_def_442,type,
sF139: $o ).
thf(func_def_443,type,
sF140: $o ).
thf(func_def_444,type,
sF141: $o ).
thf(func_def_445,type,
sF142: $o ).
thf(func_def_446,type,
sF143: $o ).
thf(func_def_447,type,
sF144: $o ).
thf(func_def_448,type,
sF145: $o ).
thf(func_def_449,type,
sF146: $o ).
thf(func_def_450,type,
sF147: $o ).
thf(func_def_451,type,
sF148: $o ).
thf(func_def_452,type,
sF149: $o ).
thf(func_def_453,type,
sF150: $o ).
thf(func_def_454,type,
sF151: $o ).
thf(func_def_455,type,
sF152: $o ).
thf(func_def_456,type,
sF153: $o ).
thf(func_def_457,type,
sF154: $o ).
thf(func_def_458,type,
sF155: $o ).
thf(func_def_459,type,
sF156: $o ).
thf(func_def_460,type,
sF157: $o ).
thf(func_def_461,type,
sF158: $o ).
thf(func_def_462,type,
sF159: $o ).
thf(func_def_463,type,
sF160: $o ).
thf(func_def_464,type,
sF161: $o ).
thf(func_def_465,type,
sF162: $o ).
thf(func_def_466,type,
sF163: $o ).
thf(func_def_467,type,
sF164: $o ).
thf(func_def_468,type,
sF165: $o ).
thf(func_def_469,type,
sF166: $o ).
thf(func_def_470,type,
sF167: $o ).
thf(func_def_471,type,
sF168: $o ).
thf(func_def_472,type,
sF169: $o ).
thf(func_def_473,type,
sF170: $o ).
thf(func_def_474,type,
sF171: $o ).
thf(func_def_475,type,
sF172: $o ).
thf(func_def_476,type,
sF173: $o ).
thf(func_def_477,type,
sF174: $o ).
thf(func_def_478,type,
sF175: $o ).
thf(func_def_479,type,
sF176: $o ).
thf(func_def_480,type,
sF177: $o ).
thf(func_def_481,type,
sF178: $o ).
thf(func_def_482,type,
sF179: $o ).
thf(func_def_483,type,
sF180: $o ).
thf(func_def_484,type,
sF181: $o ).
thf(func_def_485,type,
sF182: $o ).
thf(func_def_486,type,
sF183: $o ).
thf(func_def_487,type,
sF184: $o ).
thf(func_def_488,type,
sF185: $o ).
thf(func_def_489,type,
sF186: $o ).
thf(func_def_490,type,
sF187: $o ).
thf(func_def_491,type,
sF188: $o ).
thf(func_def_492,type,
sF189: $o ).
thf(func_def_493,type,
sF190: $o ).
thf(func_def_494,type,
sF191: $o ).
thf(func_def_495,type,
sF192: $o ).
thf(func_def_496,type,
sF193: $o ).
thf(func_def_497,type,
sF194: $o ).
thf(func_def_498,type,
sF195: $o ).
thf(func_def_499,type,
sF196: $o ).
thf(func_def_500,type,
sF197: $o ).
thf(func_def_501,type,
sF198: $o ).
thf(func_def_502,type,
sF199: $o ).
thf(func_def_503,type,
sF200: $o ).
thf(func_def_504,type,
sF201: $o ).
thf(func_def_505,type,
sF202: $o ).
thf(func_def_506,type,
sF203: $o ).
thf(func_def_507,type,
sF204: $o ).
thf(func_def_508,type,
sF205: $o ).
thf(func_def_509,type,
sF206: $o ).
thf(func_def_510,type,
sF207: $o ).
thf(func_def_511,type,
sF208: $o ).
thf(func_def_512,type,
sF209: $o ).
thf(func_def_513,type,
sF210: $o ).
thf(func_def_514,type,
sF211: $o ).
thf(func_def_515,type,
sF212: $o ).
thf(func_def_516,type,
sF213: $o ).
thf(func_def_517,type,
sF214: $o ).
thf(func_def_518,type,
sF215: $o ).
thf(func_def_519,type,
sF216: $o ).
thf(func_def_520,type,
sF217: $o ).
thf(func_def_521,type,
sF218: $o ).
thf(func_def_522,type,
sF219: $o ).
thf(func_def_523,type,
sF220: $o ).
thf(func_def_524,type,
sF221: $o ).
thf(func_def_525,type,
sF222: $o ).
thf(func_def_526,type,
sF223: $o ).
thf(func_def_527,type,
sF224: $o ).
thf(func_def_528,type,
sF225: $o ).
thf(func_def_529,type,
sF226: $o ).
thf(func_def_530,type,
sF227: $o ).
thf(func_def_531,type,
sF228: $o ).
thf(func_def_532,type,
sF229: $o ).
thf(func_def_533,type,
sF230: $o ).
thf(func_def_534,type,
sF231: $o ).
thf(func_def_535,type,
sF232: $o ).
thf(func_def_536,type,
sF233: $o ).
thf(func_def_537,type,
sF234: $o ).
thf(func_def_538,type,
sF235: $o ).
thf(func_def_539,type,
sF236: $o ).
thf(func_def_540,type,
sF237: $o ).
thf(func_def_541,type,
sF238: $o ).
thf(func_def_542,type,
sF239: $o ).
thf(func_def_543,type,
sF240: $o ).
thf(func_def_544,type,
sF241: $o ).
thf(func_def_545,type,
sF242: $o ).
thf(func_def_546,type,
sF243: $o ).
thf(func_def_547,type,
sF244: $o ).
thf(func_def_548,type,
sF245: $o ).
thf(func_def_549,type,
sF246: $o ).
thf(func_def_550,type,
sF247: $o ).
thf(func_def_551,type,
sK248: $i > $i > $i ).
thf(func_def_552,type,
sK249: $i > $i ).
thf(func_def_553,type,
sK250: $i > ( $i > $i > $o ) > $i ).
thf(func_def_554,type,
sK251: $i > $i ).
thf(func_def_555,type,
sK252: $i > $i ).
thf(func_def_556,type,
sK253: $i > ( $i > $i > $o ) > $i ).
thf(func_def_557,type,
sK254: ( $i > $o ) > $i > $i ).
thf(func_def_558,type,
sK255: $i > $i > $i ).
thf(func_def_559,type,
sK256: $i > $i > $i ).
thf(func_def_560,type,
sK257: $i > $i > $i > $i ).
thf(func_def_561,type,
sK258: $i > $i > $i ).
thf(func_def_562,type,
sK259: ( $i > $o ) > $i ).
thf(func_def_563,type,
sK260: $i > $i ).
thf(func_def_564,type,
sK261: $o > $i > $i > $i ).
thf(func_def_565,type,
sK262: $i > ( $i > $o ) > $i ).
thf(func_def_566,type,
sK263: ( $i > $o ) > $i ).
thf(func_def_567,type,
sK264: ( $i > $o ) > $i > $i ).
thf(func_def_568,type,
sK265: ( $i > $o ) > $i ).
thf(func_def_569,type,
sK266: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_570,type,
sK267: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_571,type,
sK268: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_572,type,
sK269: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_573,type,
sK270: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_574,type,
sK271: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_575,type,
sK272: $i > ( $i > $o ) > $i ).
thf(func_def_576,type,
sK273: $i > ( $i > $o ) > $i ).
thf(func_def_577,type,
sK274: $i > ( $i > $o ) > $i > $i ).
thf(func_def_578,type,
sK275: $i > $i > ( $i > $i ) > $i ).
thf(func_def_579,type,
sK276: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_580,type,
sK277: $i > $i > $i > $i > $i ).
thf(func_def_581,type,
sK278: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_582,type,
sK279: $i > $i > $i > $i > $i ).
thf(func_def_583,type,
sK280: $i > $i > $i > $i > $i ).
thf(func_def_584,type,
sK281: $i > $i > $i > $i ).
thf(func_def_587,type,
sK284: $i > $o ).
thf(func_def_590,type,
sK287: $i > $i ).
thf(func_def_592,type,
sK289: $i > $o ).
thf(func_def_594,type,
sK291: $i > ( $i > $o ) > $i ).
thf(f1,axiom,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
thf(f2,axiom,
( setextAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx) ).
thf(f3,axiom,
( emptysetAx
= ( ! [X0: $i] :
~ ( in @ X0 @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx) ).
thf(f5,axiom,
( powersetAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
<=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx) ).
thf(f7,axiom,
( omega0Ax
= ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).
thf(f17,axiom,
( exuE1
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1) ).
thf(f19,axiom,
( emptysetE
= ( ! [X0: $i] :
( ( in @ X0 @ emptyset )
=> ! [X1: $o] : X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(f20,axiom,
! [X0: $i] :
( ( ( in @ X0 @ emptyset )
=> $false )
= emptysetimpfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(f21,axiom,
( notinemptyset
= ( ! [X0: $i] :
~ ( in @ X0 @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).
thf(f24,axiom,
! [X0: $i] :
( ( ! [X1: $i] :
~ ( in @ X1 @ X0 )
=> ( X0 = emptyset ) )
= emptyI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).
thf(f25,axiom,
( noeltsimpempty
= ( ! [X0: $i] :
( ! [X1: $i] :
~ ( in @ X1 @ X0 )
=> ( X0 = emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(f27,axiom,
( ( ^ [X0: $i] : ( X0 != emptyset ) )
= nonempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).
thf(f28,axiom,
! [X0: $i] :
( ( ( nonempty @ X0 )
=> ? [X1: $i] : ( in @ X1 @ X0 ) )
= nonemptyE1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1) ).
thf(f38,axiom,
! [X0: $i] :
( ( in @ emptyset @ ( powerset @ X0 ) )
= emptyinPowerset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(f39,axiom,
! [X0: $i] :
( ( in @ emptyset @ ( powerset @ X0 ) )
= emptyInPowerset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset) ).
thf(f45,axiom,
! [X0: $i] :
( ( ( nonempty @ X0 )
=> ? [X1: $i] :
( ( in @ X1 @ X0 )
& $true ) )
= nonemptyImpWitness ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyImpWitness) ).
thf(f50,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) )
= upairsetE ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetE) ).
thf(f52,axiom,
! [X1: $i,X0: $i] :
( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
= upairsetIR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
thf(f54,axiom,
! [X1: $i,X0: $i > $o] :
( ( ( in @ X1 @ emptyset )
=> ( X0 @ X1 ) )
= vacuousDall ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vacuousDall) ).
thf(f57,axiom,
( quantDeMorgan3
= ( ! [X1: $i > $o,X0: $i] :
( ~ ? [X2: $i] :
( ( in @ X2 @ X0 )
& ( X1 @ X2 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ~ ( X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan3) ).
thf(f61,axiom,
! [X1: $i > $o,X0: $i] :
( ( ~ ? [X2: $i] :
( ( in @ X2 @ X0 )
& ( X1 @ X2 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ~ ( X1 @ X2 ) ) )
= notdexE ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notdexE) ).
thf(f63,axiom,
! [X0: $i > $o] :
( ( ? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) )
=> ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) ) )
= exuI1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuI1) ).
thf(f68,axiom,
( exuE3u
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X1: $i] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3u) ).
thf(f70,axiom,
( emptyset__Cong
= ( emptyset = emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyset__Cong) ).
thf(f74,axiom,
( ( omega = omega )
= omega__Cong ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega__Cong) ).
thf(f75,axiom,
( exuEu
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X1: $i] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuEu) ).
thf(f79,axiom,
( eqimpsubset2
= ( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(f102,axiom,
! [X1: $i,X0: $i] :
( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
= upairset2IR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairset2IR) ).
thf(f120,axiom,
( setminusI
= ( ! [X0: $i,X2: $i,X1: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusI) ).
thf(f121,axiom,
( setminusEL
= ( ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusEL) ).
thf(f122,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
=> ~ ( in @ X2 @ X1 ) )
= setminusER ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).
thf(f135,axiom,
( secondinupair
= ( ! [X1: $i,X0: $i] : ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',secondinupair) ).
thf(f143,axiom,
( upairset2E
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairset2E) ).
thf(f185,axiom,
( ( ^ [X0: $i,X1: $i,X2: $i] : ( subset @ X2 @ ( cartprod @ X0 @ X1 ) ) )
= breln ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln) ).
thf(f187,axiom,
( dpsetconstrSub
= ( ! [X0: $i,X1: $i,X2: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) )
@ ( cartprod @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstrSub) ).
thf(f188,axiom,
! [X0: $i,X1: $i,X2: $i > $i > $o] :
( ( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) ) )
= setOfPairsIsBReln ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setOfPairsIsBReln) ).
thf(f218,axiom,
( lam2lamEq
= ( ! [X2: $i > $i,X0: $i,X1: $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( X2 @ X3 ) @ X1 ) )
=> ( ( lam @ X0 @ X1
@ ^ [X3: $i] : ( X2 @ X3 ) )
= ( lam @ X0 @ X1
@ ^ [X3: $i] : ( X2 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lam2lamEq) ).
thf(f251,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementSub2) ).
thf(f252,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f251]) ).
thf(f259,plain,
! [X0: $i] :
( ( ( in @ X0 @ emptyset )
=> $false )
= emptysetimpfalse ),
inference(rectify,[],[f20]) ).
thf(f260,plain,
( emptysetimpfalse
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> $false ) ) ),
inference(fool_elimination,[],[f259]) ).
thf(f269,plain,
( setminusI
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ( ~ ( in @ X1 @ X2 )
=> ( in @ X1 @ ( setminus @ X0 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f120]) ).
thf(f270,plain,
( setminusI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
=> ( ~ ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f269]) ).
thf(f281,plain,
! [X0: $i > $o,X1: $i] :
( ( ~ ? [X2: $i] :
( ( in @ X2 @ X1 )
& ( X0 @ X2 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ~ ( X0 @ X3 ) ) )
= notdexE ),
inference(rectify,[],[f61]) ).
thf(f282,plain,
( notdexE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ~ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f281]) ).
thf(f305,plain,
( dpsetconstrSub
= ( ! [X0: $i,X1: $i,X2: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) )
@ ( cartprod @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f187]) ).
thf(f306,plain,
( dpsetconstrSub
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( subset
@ ( dpsetconstr @ Y2 @ Y1
@ ^ [Y3: $i,Y4: $i] : ( Y0 @ Y3 @ Y4 ) )
@ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f305]) ).
thf(f313,plain,
! [X0: $i] :
( ( ( nonempty @ X0 )
=> ? [X1: $i] :
( ( in @ X1 @ X0 )
& $true ) )
= nonemptyImpWitness ),
inference(rectify,[],[f45]) ).
thf(f314,plain,
( nonemptyImpWitness
= ( !! @ $i
@ ^ [Y0: $i] :
( ( nonempty @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( $true
& ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f313]) ).
thf(f325,plain,
( emptysetAx
= ( ! [X0: $i] :
~ ( in @ X0 @ emptyset ) ) ),
inference(rectify,[],[f3]) ).
thf(f326,plain,
( emptysetAx
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( in @ Y0 @ emptyset ) ) ),
inference(fool_elimination,[],[f325]) ).
thf(f327,plain,
( eqimpsubset2
= ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f79]) ).
thf(f328,plain,
( eqimpsubset2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f327]) ).
thf(f335,plain,
( omega__Cong
= ( omega = omega ) ),
inference(fool_elimination,[],[f74]) ).
thf(f341,plain,
( powersetAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
<=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f342,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
= ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f341]) ).
thf(f357,plain,
( exuE3u
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X3 )
=> ( ( X0 @ X2 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
thf(f358,plain,
( exuE3u
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f357]) ).
thf(f379,plain,
( noeltsimpempty
= ( ! [X0: $i] :
( ! [X1: $i] :
~ ( in @ X1 @ X0 )
=> ( X0 = emptyset ) ) ) ),
inference(rectify,[],[f25]) ).
thf(f380,plain,
( noeltsimpempty
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
~ ( in @ Y1 @ Y0 ) )
=> ( emptyset = Y0 ) ) ) ),
inference(fool_elimination,[],[f379]) ).
thf(f399,plain,
! [X0: $i] :
( ( ! [X1: $i] :
~ ( in @ X1 @ X0 )
=> ( X0 = emptyset ) )
= emptyI ),
inference(rectify,[],[f24]) ).
thf(f400,plain,
( emptyI
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
~ ( in @ Y1 @ Y0 ) )
=> ( emptyset = Y0 ) ) ) ),
inference(fool_elimination,[],[f399]) ).
thf(f407,plain,
( omega0Ax
= ( in @ emptyset @ omega ) ),
inference(fool_elimination,[],[f7]) ).
thf(f414,plain,
( exuEu
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X3 )
=> ( ( X0 @ X2 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(rectify,[],[f75]) ).
thf(f415,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f414]) ).
thf(f422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setminus @ X1 @ X0 ) )
=> ~ ( in @ X2 @ X0 ) )
= setminusER ),
inference(rectify,[],[f122]) ).
thf(f423,plain,
( setminusER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f422]) ).
thf(f428,plain,
( setextAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f429,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(fool_elimination,[],[f428]) ).
thf(f452,plain,
( upairset2E
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) ) ) ),
inference(rectify,[],[f143]) ).
thf(f453,plain,
( upairset2E
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setadjoin @ Y2 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y0 )
| ( Y1 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f452]) ).
thf(f462,plain,
! [X0: $i] :
( ( in @ emptyset @ ( powerset @ X0 ) )
= emptyinPowerset ),
inference(rectify,[],[f38]) ).
thf(f463,plain,
( emptyinPowerset
= ( !! @ $i
@ ^ [Y0: $i] : ( in @ emptyset @ ( powerset @ Y0 ) ) ) ),
inference(fool_elimination,[],[f462]) ).
thf(f485,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
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f252]) ).
thf(f486,plain,
( $true
= ( ~ ( 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
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f485]) ).
thf(f493,plain,
( notinemptyset
= ( ! [X0: $i] :
~ ( in @ X0 @ emptyset ) ) ),
inference(rectify,[],[f21]) ).
thf(f494,plain,
( notinemptyset
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( in @ Y0 @ emptyset ) ) ),
inference(fool_elimination,[],[f493]) ).
thf(f501,plain,
! [X0: $i] :
( ( ( nonempty @ X0 )
=> ? [X1: $i] : ( in @ X1 @ X0 ) )
= nonemptyE1 ),
inference(rectify,[],[f28]) ).
thf(f502,plain,
( nonemptyE1
= ( !! @ $i
@ ^ [Y0: $i] :
( ( nonempty @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f501]) ).
thf(f507,plain,
( emptysetE
= ( ! [X0: $i] :
( ( in @ X0 @ emptyset )
=> ! [X1: $o] : X1 ) ) ),
inference(rectify,[],[f19]) ).
thf(f508,plain,
( emptysetE
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !! @ $o
@ ^ [Y1: $o] : Y1 ) ) ) ),
inference(fool_elimination,[],[f507]) ).
thf(f515,plain,
! [X0: $i > $o] :
( ( ? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) )
=> ( exu
@ ^ [X3: $i] : ( X0 @ X3 ) ) )
= exuI1 ),
inference(rectify,[],[f63]) ).
thf(f516,plain,
( exuI1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f515]) ).
thf(f527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) )
= upairsetE ),
inference(rectify,[],[f50]) ).
thf(f528,plain,
( upairsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setadjoin @ Y2 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y0 )
| ( Y1 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f527]) ).
thf(f538,plain,
( nonempty
= ( ^ [Y0: $i] : ( emptyset != Y0 ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f545,plain,
( setminusEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( setminus @ X1 @ X2 ) )
=> ( in @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f121]) ).
thf(f546,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f545]) ).
thf(f569,plain,
( exuE1
= ( ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ? [X2: $i] :
( ( X0 @ X2 )
& ! [X3: $i] :
( ( X0 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(rectify,[],[f17]) ).
thf(f570,plain,
( exuE1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f569]) ).
thf(f587,plain,
! [X0: $i,X1: $i > $o] :
( ( ( in @ X0 @ emptyset )
=> ( X1 @ X0 ) )
= vacuousDall ),
inference(rectify,[],[f54]) ).
thf(f588,plain,
( vacuousDall
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f587]) ).
thf(f601,plain,
( quantDeMorgan3
= ( ! [X0: $i > $o,X1: $i] :
( ~ ? [X2: $i] :
( ( in @ X2 @ X1 )
& ( X0 @ X2 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ~ ( X0 @ X3 ) ) ) ) ),
inference(rectify,[],[f57]) ).
thf(f602,plain,
( quantDeMorgan3
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ~ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f601]) ).
thf(f607,plain,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f608,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f607]) ).
thf(f617,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= upairset2IR ),
inference(rectify,[],[f102]) ).
thf(f618,plain,
( upairset2IR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(fool_elimination,[],[f617]) ).
thf(f627,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f185]) ).
thf(f642,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= upairsetIR ),
inference(rectify,[],[f52]) ).
thf(f643,plain,
( upairsetIR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(fool_elimination,[],[f642]) ).
thf(f650,plain,
! [X0: $i] :
( ( in @ emptyset @ ( powerset @ X0 ) )
= emptyInPowerset ),
inference(rectify,[],[f39]) ).
thf(f651,plain,
( emptyInPowerset
= ( !! @ $i
@ ^ [Y0: $i] : ( in @ emptyset @ ( powerset @ Y0 ) ) ) ),
inference(fool_elimination,[],[f650]) ).
thf(f675,plain,
( secondinupair
= ( ! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ),
inference(rectify,[],[f135]) ).
thf(f676,plain,
( secondinupair
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(fool_elimination,[],[f675]) ).
thf(f687,plain,
! [X0: $i,X1: $i,X2: $i > $i > $o] :
( ( breln @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) ) )
= setOfPairsIsBReln ),
inference(rectify,[],[f188]) ).
thf(f688,plain,
( setOfPairsIsBReln
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( breln @ Y2 @ Y1
@ ( dpsetconstr @ Y2 @ Y1
@ ^ [Y3: $i,Y4: $i] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f687]) ).
thf(f731,plain,
( emptyset__Cong
= ( emptyset = emptyset ) ),
inference(fool_elimination,[],[f70]) ).
thf(f732,plain,
( lam2lamEq
= ( ! [X0: $i > $i,X1: $i,X2: $i] :
( ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( X0 @ X3 ) @ X2 ) )
=> ( ( lam @ X1 @ X2
@ ^ [X4: $i] : ( X0 @ X4 ) )
= ( lam @ X1 @ X2
@ ^ [X5: $i] : ( X0 @ X5 ) ) ) ) ) ),
inference(rectify,[],[f218]) ).
thf(f733,plain,
( lam2lamEq
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y2 @ Y3 ) @ Y0 ) ) )
=> ( ( lam @ Y1 @ Y0
@ ^ [Y3: $i] : ( Y2 @ Y3 ) )
= ( lam @ Y1 @ Y0
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f732]) ).
thf(f743,plain,
( emptyset__Cong
= ( emptyset = emptyset ) ),
inference(cnf_transformation,[],[f731]) ).
thf(f753,plain,
( notdexE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ~ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f282]) ).
thf(f762,plain,
( emptyI
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
~ ( in @ Y1 @ Y0 ) )
=> ( emptyset = Y0 ) ) ) ),
inference(cnf_transformation,[],[f400]) ).
thf(f767,plain,
( exuI1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f516]) ).
thf(f771,plain,
( $true
= ( ~ ( 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
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f486]) ).
thf(f779,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f627]) ).
thf(f780,plain,
( upairset2IR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(cnf_transformation,[],[f618]) ).
thf(f783,plain,
( setOfPairsIsBReln
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( breln @ Y2 @ Y1
@ ( dpsetconstr @ Y2 @ Y1
@ ^ [Y3: $i,Y4: $i] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f688]) ).
thf(f788,plain,
( omega0Ax
= ( in @ emptyset @ omega ) ),
inference(cnf_transformation,[],[f407]) ).
thf(f801,plain,
( omega__Cong
= ( omega = omega ) ),
inference(cnf_transformation,[],[f335]) ).
thf(f815,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f608]) ).
thf(f828,plain,
( emptysetE
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !! @ $o
@ ^ [Y1: $o] : Y1 ) ) ) ),
inference(cnf_transformation,[],[f508]) ).
thf(f839,plain,
( lam2lamEq
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y2 @ Y3 ) @ Y0 ) ) )
=> ( ( lam @ Y1 @ Y0
@ ^ [Y3: $i] : ( Y2 @ Y3 ) )
= ( lam @ Y1 @ Y0
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f733]) ).
thf(f848,plain,
( emptysetAx
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( in @ Y0 @ emptyset ) ) ),
inference(cnf_transformation,[],[f326]) ).
thf(f864,plain,
( emptyinPowerset
= ( !! @ $i
@ ^ [Y0: $i] : ( in @ emptyset @ ( powerset @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f463]) ).
thf(f869,plain,
( upairsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setadjoin @ Y2 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y0 )
| ( Y1 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f528]) ).
thf(f870,plain,
( setminusER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f423]) ).
thf(f879,plain,
( eqimpsubset2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f328]) ).
thf(f880,plain,
( secondinupair
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(cnf_transformation,[],[f676]) ).
thf(f882,plain,
( nonemptyE1
= ( !! @ $i
@ ^ [Y0: $i] :
( ( nonempty @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f502]) ).
thf(f884,plain,
( nonempty
= ( ^ [Y0: $i] : ( emptyset != Y0 ) ) ),
inference(cnf_transformation,[],[f538]) ).
thf(f885,plain,
( exuE3u
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f358]) ).
thf(f886,plain,
( setminusI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
=> ( ~ ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f270]) ).
thf(f892,plain,
( upairsetIR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(cnf_transformation,[],[f643]) ).
thf(f893,plain,
( noeltsimpempty
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
~ ( in @ Y1 @ Y0 ) )
=> ( emptyset = Y0 ) ) ) ),
inference(cnf_transformation,[],[f380]) ).
thf(f896,plain,
( vacuousDall
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f588]) ).
thf(f898,plain,
( quantDeMorgan3
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ~ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f602]) ).
thf(f924,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f415]) ).
thf(f940,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f429]) ).
thf(f941,plain,
( emptysetimpfalse
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> $false ) ) ),
inference(cnf_transformation,[],[f260]) ).
thf(f945,plain,
( emptyInPowerset
= ( !! @ $i
@ ^ [Y0: $i] : ( in @ emptyset @ ( powerset @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f651]) ).
thf(f949,plain,
( exuE1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( exu
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f570]) ).
thf(f956,plain,
( dpsetconstrSub
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( subset
@ ( dpsetconstr @ Y2 @ Y1
@ ^ [Y3: $i,Y4: $i] : ( Y0 @ Y3 @ Y4 ) )
@ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f306]) ).
thf(f972,plain,
( upairset2E
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setadjoin @ Y2 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y0 )
| ( Y1 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f453]) ).
thf(f976,plain,
( setminusEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f546]) ).
thf(f978,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
= ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f342]) ).
thf(f985,plain,
( nonemptyImpWitness
= ( !! @ $i
@ ^ [Y0: $i] :
( ( nonempty @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( $true
& ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f314]) ).
thf(f988,plain,
( notinemptyset
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( in @ Y0 @ emptyset ) ) ),
inference(cnf_transformation,[],[f494]) ).
thf(f997,plain,
( exuI1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f767,f815]) ).
thf(f1001,plain,
( setOfPairsIsBReln
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
@ Y2
@ Y1
@ ( dpsetconstr @ Y2 @ Y1
@ ^ [Y3: $i,Y4: $i] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f783,f779]) ).
thf(f1009,plain,
( nonemptyE1
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( emptyset != Y1 )
@ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f882,f884]) ).
thf(f1010,plain,
( exuE3u
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f885,f815]) ).
thf(f1013,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f924,f815]) ).
thf(f1017,plain,
( exuE1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f949,f815]) ).
thf(f1019,plain,
( nonemptyImpWitness
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( emptyset != Y1 )
@ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( $true
& ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f985,f884]) ).
thf(f1020,definition,
( sF0
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f1021,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f1020]) ).
thf(f1022,definition,
( sF1
= ( doubleComplementSub1
=> sF0 ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f1023,plain,
( ( doubleComplementSub1
=> sF0 )
= sF1 ),
inference(reorient_equations,[],[f1022]) ).
thf(f1024,definition,
( sF2
= ( doubleComplementE1
=> sF1 ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f1025,definition,
( sF3
= ( doubleComplementI1
=> sF2 ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f1026,plain,
( ( doubleComplementI1
=> sF2 )
= sF3 ),
inference(reorient_equations,[],[f1025]) ).
thf(f1027,definition,
( sF4
= ( contrasubsetT3
=> sF3 ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f1028,definition,
( sF5
= ( contrasubsetT2
=> sF4 ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f1029,plain,
( ( contrasubsetT2
=> sF4 )
= sF5 ),
inference(reorient_equations,[],[f1028]) ).
thf(f1030,definition,
( sF6
= ( contrasubsetT1
=> sF5 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f1031,plain,
( ( contrasubsetT1
=> sF5 )
= sF6 ),
inference(reorient_equations,[],[f1030]) ).
thf(f1032,definition,
( sF7
= ( contrasubsetT
=> sF6 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f1033,definition,
( sF8
= ( binintersectTERcontra
=> sF7 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f1034,plain,
( ( binintersectTERcontra
=> sF7 )
= sF8 ),
inference(reorient_equations,[],[f1033]) ).
thf(f1035,definition,
( sF9
= ( binintersectTELcontra
=> sF8 ) ),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
thf(f1036,plain,
( ( binintersectTELcontra
=> sF8 )
= sF9 ),
inference(reorient_equations,[],[f1035]) ).
thf(f1037,definition,
( sF10
= ( complementTE1
=> sF9 ) ),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
thf(f1038,definition,
( sF11
= ( complementTI1
=> sF10 ) ),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
thf(f1039,plain,
( ( complementTI1
=> sF10 )
= sF11 ),
inference(reorient_equations,[],[f1038]) ).
thf(f1040,definition,
( sF12
= ( powersetTE1
=> sF11 ) ),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
thf(f1041,definition,
( sF13
= ( powersetTI1
=> sF12 ) ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
thf(f1042,definition,
( sF14
= ( subsetTI
=> sF13 ) ),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
thf(f1043,definition,
( sF15
= ( setextT
=> sF14 ) ),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
thf(f1044,plain,
( ( setextT
=> sF14 )
= sF15 ),
inference(reorient_equations,[],[f1043]) ).
thf(f1045,definition,
( sF16
= ( complementT_lem
=> sF15 ) ),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
thf(f1046,plain,
( ( complementT_lem
=> sF15 )
= sF16 ),
inference(reorient_equations,[],[f1045]) ).
thf(f1047,definition,
( sF17
= ( setminusT_lem
=> sF16 ) ),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
thf(f1048,definition,
( sF18
= ( powersetT_lem
=> sF17 ) ),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
thf(f1049,plain,
( ( powersetT_lem
=> sF17 )
= sF18 ),
inference(reorient_equations,[],[f1048]) ).
thf(f1050,definition,
( sF19
= ( binunionT_lem
=> sF18 ) ),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
thf(f1051,definition,
( sF20
= ( binintersectT_lem
=> sF19 ) ),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
thf(f1052,plain,
( ( binintersectT_lem
=> sF19 )
= sF20 ),
inference(reorient_equations,[],[f1051]) ).
thf(f1053,definition,
( sF21
= ( iftrueorfalse
=> sF20 ) ),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
thf(f1054,plain,
( ( iftrueorfalse
=> sF20 )
= sF21 ),
inference(reorient_equations,[],[f1053]) ).
thf(f1055,definition,
( sF22
= ( iffalse
=> sF21 ) ),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
thf(f1056,plain,
( ( iffalse
=> sF21 )
= sF22 ),
inference(reorient_equations,[],[f1055]) ).
thf(f1057,definition,
( sF23
= ( iftrue
=> sF22 ) ),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
thf(f1058,plain,
( ( iftrue
=> sF22 )
= sF23 ),
inference(reorient_equations,[],[f1057]) ).
thf(f1059,definition,
( sF24
= ( theeq
=> sF23 ) ),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
thf(f1060,plain,
( ( theeq
=> sF23 )
= sF24 ),
inference(reorient_equations,[],[f1059]) ).
thf(f1061,definition,
( sF25
= ( ifp
=> sF24 ) ),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
thf(f1062,definition,
( sF26
= ( ifSingleton
=> sF25 ) ),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
thf(f1063,plain,
( ( ifSingleton
=> sF25 )
= sF26 ),
inference(reorient_equations,[],[f1062]) ).
thf(f1064,definition,
( sF27
= ( iftrueProp2
=> sF26 ) ),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
thf(f1065,plain,
( ( iftrueProp2
=> sF26 )
= sF27 ),
inference(reorient_equations,[],[f1064]) ).
thf(f1066,definition,
( sF28
= ( iftrueProp1
=> sF27 ) ),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
thf(f1067,definition,
( sF29
= ( iffalseProp2
=> sF28 ) ),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
thf(f1068,plain,
( ( iffalseProp2
=> sF28 )
= sF29 ),
inference(reorient_equations,[],[f1067]) ).
thf(f1069,definition,
( sF30
= ( iffalseProp1
=> sF29 ) ),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
thf(f1070,definition,
( sF31
= ( eta2
=> sF30 ) ),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
thf(f1071,plain,
( ( eta2
=> sF30 )
= sF31 ),
inference(reorient_equations,[],[f1070]) ).
thf(f1072,definition,
( sF32
= ( beta2
=> sF31 ) ),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
thf(f1073,definition,
( sF33
= ( lam2lamEq
=> sF32 ) ),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
thf(f1074,definition,
( sF34
= ( eta1
=> sF33 ) ),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
thf(f1075,plain,
( ( eta1
=> sF33 )
= sF34 ),
inference(reorient_equations,[],[f1074]) ).
thf(f1076,definition,
( sF35
= ( beta1
=> sF34 ) ),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
thf(f1077,definition,
( sF36
= ( ap2apEq2
=> sF35 ) ),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
thf(f1078,plain,
( ( ap2apEq2
=> sF35 )
= sF36 ),
inference(reorient_equations,[],[f1077]) ).
thf(f1079,definition,
( sF37
= ( ap2apEq1
=> sF36 ) ),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
thf(f1080,definition,
( sF38
= ( funcext2
=> sF37 ) ),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
thf(f1081,plain,
( ( funcext2
=> sF37 )
= sF38 ),
inference(reorient_equations,[],[f1080]) ).
thf(f1082,definition,
( sF39
= ( funcext
=> sF38 ) ),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
thf(f1083,definition,
( sF40
= ( eqbreln
=> sF39 ) ),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
thf(f1084,definition,
( sF41
= ( subbreln
=> sF40 ) ),
introduced(definition,[new_symbols(definition,[sF41])],[function_definition]) ).
thf(f1085,plain,
( ( subbreln
=> sF40 )
= sF41 ),
inference(reorient_equations,[],[f1084]) ).
thf(f1086,definition,
( sF42
= ( funcGraphProp4
=> sF41 ) ),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
thf(f1087,definition,
( sF43
= ( funcextLem
=> sF42 ) ),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
thf(f1088,plain,
( ( funcextLem
=> sF42 )
= sF43 ),
inference(reorient_equations,[],[f1087]) ).
thf(f1089,definition,
( sF44
= ( funcGraphProp2
=> sF43 ) ),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
thf(f1090,definition,
( sF45
= ( funcGraphProp3
=> sF44 ) ),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
thf(f1091,definition,
( sF46
= ( funcGraphProp1
=> sF45 ) ),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
thf(f1092,definition,
( sF47
= ( ex1E2
=> sF46 ) ),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
thf(f1093,plain,
( ( ex1E2
=> sF46 )
= sF47 ),
inference(reorient_equations,[],[f1092]) ).
thf(f1094,definition,
( sF48
= ( brelnall2
=> sF47 ) ),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
thf(f1095,definition,
( sF49
= ( brelnall1
=> sF48 ) ),
introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).
thf(f1096,definition,
( sF50
= ( lam2p
=> sF49 ) ),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
thf(f1097,plain,
( ( lam2p
=> sF49 )
= sF50 ),
inference(reorient_equations,[],[f1096]) ).
thf(f1098,definition,
( sF51
= ( lamp
=> sF50 ) ),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
thf(f1099,plain,
( ( lamp
=> sF50 )
= sF51 ),
inference(reorient_equations,[],[f1098]) ).
thf(f1100,definition,
( sF52
= ( lamProp
=> sF51 ) ),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
thf(f1101,plain,
( ( lamProp
=> sF51 )
= sF52 ),
inference(reorient_equations,[],[f1100]) ).
thf(f1102,definition,
( sF53
= ( funcinfuncset
=> sF52 ) ),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
thf(f1103,definition,
( sF54
= ( ap2p
=> sF53 ) ),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
thf(f1104,plain,
( ( ap2p
=> sF53 )
= sF54 ),
inference(reorient_equations,[],[f1103]) ).
thf(f1105,definition,
( sF55
= ( infuncsetfunc
=> sF54 ) ),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
thf(f1106,definition,
( sF56
= ( app
=> sF55 ) ),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
thf(f1107,plain,
( ( app
=> sF55 )
= sF56 ),
inference(reorient_equations,[],[f1106]) ).
thf(f1108,definition,
( sF57
= ( apProp
=> sF56 ) ),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
thf(f1109,definition,
( sF58
= ( funcImageSingleton
=> sF57 ) ),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
thf(f1110,plain,
( ( funcImageSingleton
=> sF57 )
= sF58 ),
inference(reorient_equations,[],[f1109]) ).
thf(f1111,definition,
( sF59
= ( dpsetconstrER
=> sF58 ) ),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
thf(f1112,plain,
( ( dpsetconstrER
=> sF58 )
= sF59 ),
inference(reorient_equations,[],[f1111]) ).
thf(f1113,definition,
( sF60
= ( dpsetconstrEL2
=> sF59 ) ),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
thf(f1114,definition,
( sF61
= ( dpsetconstrEL1
=> sF60 ) ),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
thf(f1115,plain,
( ( dpsetconstrEL1
=> sF60 )
= sF61 ),
inference(reorient_equations,[],[f1114]) ).
thf(f1116,definition,
( sF62
= ( dpsetconstrERa
=> sF61 ) ),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
thf(f1117,plain,
( ( dpsetconstrERa
=> sF61 )
= sF62 ),
inference(reorient_equations,[],[f1116]) ).
thf(f1118,definition,
( sF63
= ( setOfPairsIsBReln
=> sF62 ) ),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
thf(f1119,definition,
( sF64
= ( dpsetconstrSub
=> sF63 ) ),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
thf(f1120,plain,
( ( dpsetconstrSub
=> sF63 )
= sF64 ),
inference(reorient_equations,[],[f1119]) ).
thf(f1121,definition,
( sF65
= ( dpsetconstrI
=> sF64 ) ),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
thf(f1122,definition,
( sF66
= ( cartprodpairsurjEq
=> sF65 ) ),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
thf(f1123,plain,
( ( cartprodpairsurjEq
=> sF65 )
= sF66 ),
inference(reorient_equations,[],[f1122]) ).
thf(f1124,definition,
( sF67
= ( cartprodsndpairEq
=> sF66 ) ),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
thf(f1125,plain,
( ( cartprodsndpairEq
=> sF66 )
= sF67 ),
inference(reorient_equations,[],[f1124]) ).
thf(f1126,definition,
( sF68
= ( cartprodfstpairEq
=> sF67 ) ),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
thf(f1127,definition,
( sF69
= ( cartprodmempaircEq
=> sF68 ) ),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
thf(f1128,plain,
( ( cartprodmempaircEq
=> sF68 )
= sF69 ),
inference(reorient_equations,[],[f1127]) ).
thf(f1129,definition,
( sF70
= ( cartprodpairmemER
=> sF69 ) ),
introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).
thf(f1130,definition,
( sF71
= ( cartprodpairmemEL
=> sF70 ) ),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
thf(f1131,plain,
( ( cartprodpairmemEL
=> sF70 )
= sF71 ),
inference(reorient_equations,[],[f1130]) ).
thf(f1132,definition,
( sF72
= ( cartprodsndin
=> sF71 ) ),
introduced(definition,[new_symbols(definition,[sF72])],[function_definition]) ).
thf(f1133,plain,
( ( cartprodsndin
=> sF71 )
= sF72 ),
inference(reorient_equations,[],[f1132]) ).
thf(f1134,definition,
( sF73
= ( kpairsurjEq
=> sF72 ) ),
introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).
thf(f1135,plain,
( ( kpairsurjEq
=> sF72 )
= sF73 ),
inference(reorient_equations,[],[f1134]) ).
thf(f1136,definition,
( sF74
= ( ksndpairEq
=> sF73 ) ),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
thf(f1137,plain,
( ( ksndpairEq
=> sF73 )
= sF74 ),
inference(reorient_equations,[],[f1136]) ).
thf(f1138,definition,
( sF75
= ( ksndsingleton
=> sF74 ) ),
introduced(definition,[new_symbols(definition,[sF75])],[function_definition]) ).
thf(f1139,plain,
( ( ksndsingleton
=> sF74 )
= sF75 ),
inference(reorient_equations,[],[f1138]) ).
thf(f1140,definition,
( sF76
= ( setukpairinjR
=> sF75 ) ),
introduced(definition,[new_symbols(definition,[sF76])],[function_definition]) ).
thf(f1141,definition,
( sF77
= ( setukpairinjR2
=> sF76 ) ),
introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).
thf(f1142,plain,
( ( setukpairinjR2
=> sF76 )
= sF77 ),
inference(reorient_equations,[],[f1141]) ).
thf(f1143,definition,
( sF78
= ( upairequniteq
=> sF77 ) ),
introduced(definition,[new_symbols(definition,[sF78])],[function_definition]) ).
thf(f1144,definition,
( sF79
= ( setukpairinjR1
=> sF78 ) ),
introduced(definition,[new_symbols(definition,[sF79])],[function_definition]) ).
thf(f1145,plain,
( ( setukpairinjR1
=> sF78 )
= sF79 ),
inference(reorient_equations,[],[f1144]) ).
thf(f1146,definition,
( sF80
= ( setukpairinjR12
=> sF79 ) ),
introduced(definition,[new_symbols(definition,[sF80])],[function_definition]) ).
thf(f1147,plain,
( ( setukpairinjR12
=> sF79 )
= sF80 ),
inference(reorient_equations,[],[f1146]) ).
thf(f1148,definition,
( sF81
= ( setukpairinjR11
=> sF80 ) ),
introduced(definition,[new_symbols(definition,[sF81])],[function_definition]) ).
thf(f1149,definition,
( sF82
= ( setukpairinjL
=> sF81 ) ),
introduced(definition,[new_symbols(definition,[sF82])],[function_definition]) ).
thf(f1150,definition,
( sF83
= ( setukpairinjL2
=> sF82 ) ),
introduced(definition,[new_symbols(definition,[sF83])],[function_definition]) ).
thf(f1151,definition,
( sF84
= ( cartprodfstin
=> sF83 ) ),
introduced(definition,[new_symbols(definition,[sF84])],[function_definition]) ).
thf(f1152,plain,
( ( cartprodfstin
=> sF83 )
= sF84 ),
inference(reorient_equations,[],[f1151]) ).
thf(f1153,definition,
( sF85
= ( kfstpairEq
=> sF84 ) ),
introduced(definition,[new_symbols(definition,[sF85])],[function_definition]) ).
thf(f1154,plain,
( ( kfstpairEq
=> sF84 )
= sF85 ),
inference(reorient_equations,[],[f1153]) ).
thf(f1155,definition,
( sF86
= ( theprop
=> sF85 ) ),
introduced(definition,[new_symbols(definition,[sF86])],[function_definition]) ).
thf(f1156,definition,
( sF87
= ( kfstsingleton
=> sF86 ) ),
introduced(definition,[new_symbols(definition,[sF87])],[function_definition]) ).
thf(f1157,plain,
( ( kfstsingleton
=> sF86 )
= sF87 ),
inference(reorient_equations,[],[f1156]) ).
thf(f1158,definition,
( sF88
= ( setukpairinjL1
=> sF87 ) ),
introduced(definition,[new_symbols(definition,[sF88])],[function_definition]) ).
thf(f1159,plain,
( ( setukpairinjL1
=> sF87 )
= sF88 ),
inference(reorient_equations,[],[f1158]) ).
thf(f1160,definition,
( sF89
= ( singletonsuniq
=> sF88 ) ),
introduced(definition,[new_symbols(definition,[sF89])],[function_definition]) ).
thf(f1161,definition,
( sF90
= ( ex1I2
=> sF89 ) ),
introduced(definition,[new_symbols(definition,[sF90])],[function_definition]) ).
thf(f1162,plain,
( ( ex1I2
=> sF89 )
= sF90 ),
inference(reorient_equations,[],[f1161]) ).
thf(f1163,definition,
( sF91
= ( ex1I
=> sF90 ) ),
introduced(definition,[new_symbols(definition,[sF91])],[function_definition]) ).
thf(f1164,plain,
( ( ex1I
=> sF90 )
= sF91 ),
inference(reorient_equations,[],[f1163]) ).
thf(f1165,definition,
( sF92
= ( ex1E1
=> sF91 ) ),
introduced(definition,[new_symbols(definition,[sF92])],[function_definition]) ).
thf(f1166,plain,
( ( ex1E1
=> sF91 )
= sF92 ),
inference(reorient_equations,[],[f1165]) ).
thf(f1167,definition,
( sF93
= ( singletonprop
=> sF92 ) ),
introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).
thf(f1168,definition,
( sF94
= ( setunionsingleton
=> sF93 ) ),
introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).
thf(f1169,plain,
( ( setunionsingleton
=> sF93 )
= sF94 ),
inference(reorient_equations,[],[f1168]) ).
thf(f1170,definition,
( sF95
= ( setunionsingleton2
=> sF94 ) ),
introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).
thf(f1171,definition,
( sF96
= ( setunionsingleton1
=> sF95 ) ),
introduced(definition,[new_symbols(definition,[sF96])],[function_definition]) ).
thf(f1172,plain,
( ( setunionsingleton1
=> sF95 )
= sF96 ),
inference(reorient_equations,[],[f1171]) ).
thf(f1173,definition,
( sF97
= ( setunionE2
=> sF96 ) ),
introduced(definition,[new_symbols(definition,[sF97])],[function_definition]) ).
thf(f1174,definition,
( sF98
= ( cartprodmempair
=> sF97 ) ),
introduced(definition,[new_symbols(definition,[sF98])],[function_definition]) ).
thf(f1175,definition,
( sF99
= ( cartprodmempair1
=> sF98 ) ),
introduced(definition,[new_symbols(definition,[sF99])],[function_definition]) ).
thf(f1176,plain,
( ( cartprodmempair1
=> sF98 )
= sF99 ),
inference(reorient_equations,[],[f1175]) ).
thf(f1177,definition,
( sF100
= ( cartprodpairin
=> sF99 ) ),
introduced(definition,[new_symbols(definition,[sF100])],[function_definition]) ).
thf(f1178,definition,
( sF101
= ( ubforcartprodlem3
=> sF100 ) ),
introduced(definition,[new_symbols(definition,[sF101])],[function_definition]) ).
thf(f1179,plain,
( ( ubforcartprodlem3
=> sF100 )
= sF101 ),
inference(reorient_equations,[],[f1178]) ).
thf(f1180,definition,
( sF102
= ( ubforcartprodlem2
=> sF101 ) ),
introduced(definition,[new_symbols(definition,[sF102])],[function_definition]) ).
thf(f1181,plain,
( ( ubforcartprodlem2
=> sF101 )
= sF102 ),
inference(reorient_equations,[],[f1180]) ).
thf(f1182,definition,
( sF103
= ( ubforcartprodlem1
=> sF102 ) ),
introduced(definition,[new_symbols(definition,[sF103])],[function_definition]) ).
thf(f1183,plain,
( ( ubforcartprodlem1
=> sF102 )
= sF103 ),
inference(reorient_equations,[],[f1182]) ).
thf(f1184,definition,
( sF104
= ( upairinpowunion
=> sF103 ) ),
introduced(definition,[new_symbols(definition,[sF104])],[function_definition]) ).
thf(f1185,plain,
( ( upairinpowunion
=> sF103 )
= sF104 ),
inference(reorient_equations,[],[f1184]) ).
thf(f1186,definition,
( sF105
= ( upairsubunion
=> sF104 ) ),
introduced(definition,[new_symbols(definition,[sF105])],[function_definition]) ).
thf(f1187,definition,
( sF106
= ( upairset2E
=> sF105 ) ),
introduced(definition,[new_symbols(definition,[sF106])],[function_definition]) ).
thf(f1188,definition,
( sF107
= ( singletoninpowunion
=> sF106 ) ),
introduced(definition,[new_symbols(definition,[sF107])],[function_definition]) ).
thf(f1189,definition,
( sF108
= ( singletoninpowerset
=> sF107 ) ),
introduced(definition,[new_symbols(definition,[sF108])],[function_definition]) ).
thf(f1190,definition,
( sF109
= ( singletonsubset
=> sF108 ) ),
introduced(definition,[new_symbols(definition,[sF109])],[function_definition]) ).
thf(f1191,plain,
( ( singletonsubset
=> sF108 )
= sF109 ),
inference(reorient_equations,[],[f1190]) ).
thf(f1192,definition,
( sF110
= ( kpairp
=> sF109 ) ),
introduced(definition,[new_symbols(definition,[sF110])],[function_definition]) ).
thf(f1193,plain,
( ( kpairp
=> sF109 )
= sF110 ),
inference(reorient_equations,[],[f1192]) ).
thf(f1194,definition,
( sF111
= ( kpairiskpair
=> sF110 ) ),
introduced(definition,[new_symbols(definition,[sF111])],[function_definition]) ).
thf(f1195,plain,
( ( kpairiskpair
=> sF110 )
= sF111 ),
inference(reorient_equations,[],[f1194]) ).
thf(f1196,definition,
( sF112
= ( setukpairIR
=> sF111 ) ),
introduced(definition,[new_symbols(definition,[sF112])],[function_definition]) ).
thf(f1197,definition,
( sF113
= ( setukpairIL
=> sF112 ) ),
introduced(definition,[new_symbols(definition,[sF113])],[function_definition]) ).
thf(f1198,plain,
( ( setukpairIL
=> sF112 )
= sF113 ),
inference(reorient_equations,[],[f1197]) ).
thf(f1199,definition,
( sF114
= ( secondinupair
=> sF113 ) ),
introduced(definition,[new_symbols(definition,[sF114])],[function_definition]) ).
thf(f1200,plain,
( ( secondinupair
=> sF113 )
= sF114 ),
inference(reorient_equations,[],[f1199]) ).
thf(f1201,definition,
( sF115
= ( symdiffIneg2
=> sF114 ) ),
introduced(definition,[new_symbols(definition,[sF115])],[function_definition]) ).
thf(f1202,definition,
( sF116
= ( symdiffIneg1
=> sF115 ) ),
introduced(definition,[new_symbols(definition,[sF116])],[function_definition]) ).
thf(f1203,plain,
( ( symdiffIneg1
=> sF115 )
= sF116 ),
inference(reorient_equations,[],[f1202]) ).
thf(f1204,definition,
( sF117
= ( symdiffI2
=> sF116 ) ),
introduced(definition,[new_symbols(definition,[sF117])],[function_definition]) ).
thf(f1205,plain,
( ( symdiffI2
=> sF116 )
= sF117 ),
inference(reorient_equations,[],[f1204]) ).
thf(f1206,definition,
( sF118
= ( symdiffI1
=> sF117 ) ),
introduced(definition,[new_symbols(definition,[sF118])],[function_definition]) ).
thf(f1207,plain,
( ( symdiffI1
=> sF117 )
= sF118 ),
inference(reorient_equations,[],[f1206]) ).
thf(f1208,definition,
( sF119
= ( symdiffE
=> sF118 ) ),
introduced(definition,[new_symbols(definition,[sF119])],[function_definition]) ).
thf(f1209,plain,
( ( symdiffE
=> sF118 )
= sF119 ),
inference(reorient_equations,[],[f1208]) ).
thf(f1210,definition,
( sF120
= ( setminusSubset1
=> sF119 ) ),
introduced(definition,[new_symbols(definition,[sF120])],[function_definition]) ).
thf(f1211,definition,
( sF121
= ( setminusLsub
=> sF120 ) ),
introduced(definition,[new_symbols(definition,[sF121])],[function_definition]) ).
thf(f1212,plain,
( ( setminusLsub
=> sF120 )
= sF121 ),
inference(reorient_equations,[],[f1211]) ).
thf(f1213,definition,
( sF122
= ( setminusIRneg
=> sF121 ) ),
introduced(definition,[new_symbols(definition,[sF122])],[function_definition]) ).
thf(f1214,definition,
( sF123
= ( setminusILneg
=> sF122 ) ),
introduced(definition,[new_symbols(definition,[sF123])],[function_definition]) ).
thf(f1215,definition,
( sF124
= ( setminusELneg
=> sF123 ) ),
introduced(definition,[new_symbols(definition,[sF124])],[function_definition]) ).
thf(f1216,plain,
( ( setminusELneg
=> sF123 )
= sF124 ),
inference(reorient_equations,[],[f1215]) ).
thf(f1217,definition,
( sF125
= ( setminusERneg
=> sF124 ) ),
introduced(definition,[new_symbols(definition,[sF125])],[function_definition]) ).
thf(f1218,definition,
( sF126
= ( setminusSubset2
=> sF125 ) ),
introduced(definition,[new_symbols(definition,[sF126])],[function_definition]) ).
thf(f1219,definition,
( sF127
= ( setminusER
=> sF126 ) ),
introduced(definition,[new_symbols(definition,[sF127])],[function_definition]) ).
thf(f1220,plain,
( ( setminusER
=> sF126 )
= sF127 ),
inference(reorient_equations,[],[f1219]) ).
thf(f1221,definition,
( sF128
= ( setminusEL
=> sF127 ) ),
introduced(definition,[new_symbols(definition,[sF128])],[function_definition]) ).
thf(f1222,definition,
( sF129
= ( setminusI
=> sF128 ) ),
introduced(definition,[new_symbols(definition,[sF129])],[function_definition]) ).
thf(f1223,plain,
( ( setminusI
=> sF128 )
= sF129 ),
inference(reorient_equations,[],[f1222]) ).
thf(f1224,definition,
( sF130
= ( bs114d
=> sF129 ) ),
introduced(definition,[new_symbols(definition,[sF130])],[function_definition]) ).
thf(f1225,plain,
( ( bs114d
=> sF129 )
= sF130 ),
inference(reorient_equations,[],[f1224]) ).
thf(f1226,definition,
( sF131
= ( binintersectSubset1
=> sF130 ) ),
introduced(definition,[new_symbols(definition,[sF131])],[function_definition]) ).
thf(f1227,definition,
( sF132
= ( binintersectSubset4
=> sF131 ) ),
introduced(definition,[new_symbols(definition,[sF132])],[function_definition]) ).
thf(f1228,definition,
( sF133
= ( binintersectRsub
=> sF132 ) ),
introduced(definition,[new_symbols(definition,[sF133])],[function_definition]) ).
thf(f1229,definition,
( sF134
= ( disjointsetsI1
=> sF133 ) ),
introduced(definition,[new_symbols(definition,[sF134])],[function_definition]) ).
thf(f1230,plain,
( ( disjointsetsI1
=> sF133 )
= sF134 ),
inference(reorient_equations,[],[f1229]) ).
thf(f1231,definition,
( sF135
= ( binintersectER
=> sF134 ) ),
introduced(definition,[new_symbols(definition,[sF135])],[function_definition]) ).
thf(f1232,definition,
( sF136
= ( binintersectSubset3
=> sF135 ) ),
introduced(definition,[new_symbols(definition,[sF136])],[function_definition]) ).
thf(f1233,definition,
( sF137
= ( binintersectSubset2
=> sF136 ) ),
introduced(definition,[new_symbols(definition,[sF137])],[function_definition]) ).
thf(f1234,definition,
( sF138
= ( binintersectLsub
=> sF137 ) ),
introduced(definition,[new_symbols(definition,[sF138])],[function_definition]) ).
thf(f1235,plain,
( ( binintersectLsub
=> sF137 )
= sF138 ),
inference(reorient_equations,[],[f1234]) ).
thf(f1236,definition,
( sF139
= ( binintersectEL
=> sF138 ) ),
introduced(definition,[new_symbols(definition,[sF139])],[function_definition]) ).
thf(f1237,definition,
( sF140
= ( binintersectSubset5
=> sF139 ) ),
introduced(definition,[new_symbols(definition,[sF140])],[function_definition]) ).
thf(f1238,definition,
( sF141
= ( binintersectI
=> sF140 ) ),
introduced(definition,[new_symbols(definition,[sF141])],[function_definition]) ).
thf(f1239,definition,
( sF142
= ( binunionRsub
=> sF141 ) ),
introduced(definition,[new_symbols(definition,[sF142])],[function_definition]) ).
thf(f1240,definition,
( sF143
= ( binunionLsub
=> sF142 ) ),
introduced(definition,[new_symbols(definition,[sF143])],[function_definition]) ).
thf(f1241,plain,
( ( binunionLsub
=> sF142 )
= sF143 ),
inference(reorient_equations,[],[f1240]) ).
thf(f1242,definition,
( sF144
= ( binunionE
=> sF143 ) ),
introduced(definition,[new_symbols(definition,[sF144])],[function_definition]) ).
thf(f1243,plain,
( ( binunionE
=> sF143 )
= sF144 ),
inference(reorient_equations,[],[f1242]) ).
thf(f1244,definition,
( sF145
= ( binunionEcases
=> sF144 ) ),
introduced(definition,[new_symbols(definition,[sF145])],[function_definition]) ).
thf(f1245,definition,
( sF146
= ( binunionIR
=> sF145 ) ),
introduced(definition,[new_symbols(definition,[sF146])],[function_definition]) ).
thf(f1246,plain,
( ( binunionIR
=> sF145 )
= sF146 ),
inference(reorient_equations,[],[f1245]) ).
thf(f1247,definition,
( sF147
= ( upairset2IR
=> sF146 ) ),
introduced(definition,[new_symbols(definition,[sF147])],[function_definition]) ).
thf(f1248,definition,
( sF148
= ( binunionIL
=> sF147 ) ),
introduced(definition,[new_symbols(definition,[sF148])],[function_definition]) ).
thf(f1249,plain,
( ( binunionIL
=> sF147 )
= sF148 ),
inference(reorient_equations,[],[f1248]) ).
thf(f1250,definition,
( sF149
= ( sepSubset
=> sF148 ) ),
introduced(definition,[new_symbols(definition,[sF149])],[function_definition]) ).
thf(f1251,definition,
( sF150
= ( sepInPowerset
=> sF149 ) ),
introduced(definition,[new_symbols(definition,[sF150])],[function_definition]) ).
thf(f1252,plain,
( ( sepInPowerset
=> sF149 )
= sF150 ),
inference(reorient_equations,[],[f1251]) ).
thf(f1253,definition,
( sF151
= ( powersetsubset
=> sF150 ) ),
introduced(definition,[new_symbols(definition,[sF151])],[function_definition]) ).
thf(f1254,definition,
( sF152
= ( inPowerset
=> sF151 ) ),
introduced(definition,[new_symbols(definition,[sF152])],[function_definition]) ).
thf(f1255,definition,
( sF153
= ( powersetE1
=> sF152 ) ),
introduced(definition,[new_symbols(definition,[sF153])],[function_definition]) ).
thf(f1256,definition,
( sF154
= ( powersetI1
=> sF153 ) ),
introduced(definition,[new_symbols(definition,[sF154])],[function_definition]) ).
thf(f1257,plain,
( ( powersetI1
=> sF153 )
= sF154 ),
inference(reorient_equations,[],[f1256]) ).
thf(f1258,definition,
( sF155
= ( subsetemptysetimpeq
=> sF154 ) ),
introduced(definition,[new_symbols(definition,[sF155])],[function_definition]) ).
thf(f1259,plain,
( ( subsetemptysetimpeq
=> sF154 )
= sF155 ),
inference(reorient_equations,[],[f1258]) ).
thf(f1260,definition,
( sF156
= ( setextsub
=> sF155 ) ),
introduced(definition,[new_symbols(definition,[sF156])],[function_definition]) ).
thf(f1261,definition,
( sF157
= ( subset2powerset
=> sF156 ) ),
introduced(definition,[new_symbols(definition,[sF157])],[function_definition]) ).
thf(f1262,definition,
( sF158
= ( setadjoinSub2
=> sF157 ) ),
introduced(definition,[new_symbols(definition,[sF158])],[function_definition]) ).
thf(f1263,definition,
( sF159
= ( setadjoinSub
=> sF158 ) ),
introduced(definition,[new_symbols(definition,[sF159])],[function_definition]) ).
thf(f1264,plain,
( ( setadjoinSub
=> sF158 )
= sF159 ),
inference(reorient_equations,[],[f1263]) ).
thf(f1265,definition,
( sF160
= ( subsetTrans
=> sF159 ) ),
introduced(definition,[new_symbols(definition,[sF160])],[function_definition]) ).
thf(f1266,definition,
( sF161
= ( subsetRefl
=> sF160 ) ),
introduced(definition,[new_symbols(definition,[sF161])],[function_definition]) ).
thf(f1267,definition,
( sF162
= ( notequalI2
=> sF161 ) ),
introduced(definition,[new_symbols(definition,[sF162])],[function_definition]) ).
thf(f1268,plain,
( ( notequalI2
=> sF161 )
= sF162 ),
inference(reorient_equations,[],[f1267]) ).
thf(f1269,definition,
( sF163
= ( notequalI1
=> sF162 ) ),
introduced(definition,[new_symbols(definition,[sF163])],[function_definition]) ).
thf(f1270,definition,
( sF164
= ( notsubsetI
=> sF163 ) ),
introduced(definition,[new_symbols(definition,[sF164])],[function_definition]) ).
thf(f1271,definition,
( sF165
= ( subsetE2
=> sF164 ) ),
introduced(definition,[new_symbols(definition,[sF165])],[function_definition]) ).
thf(f1272,plain,
( ( subsetE2
=> sF164 )
= sF165 ),
inference(reorient_equations,[],[f1271]) ).
thf(f1273,definition,
( sF166
= ( subsetE
=> sF165 ) ),
introduced(definition,[new_symbols(definition,[sF166])],[function_definition]) ).
thf(f1274,plain,
( ( subsetE
=> sF165 )
= sF166 ),
inference(reorient_equations,[],[f1273]) ).
thf(f1275,definition,
( sF167
= ( emptysetsubset
=> sF166 ) ),
introduced(definition,[new_symbols(definition,[sF167])],[function_definition]) ).
thf(f1276,definition,
( sF168
= ( subsetI2
=> sF167 ) ),
introduced(definition,[new_symbols(definition,[sF168])],[function_definition]) ).
thf(f1277,definition,
( sF169
= ( eqimpsubset1
=> sF168 ) ),
introduced(definition,[new_symbols(definition,[sF169])],[function_definition]) ).
thf(f1278,plain,
( ( eqimpsubset1
=> sF168 )
= sF169 ),
inference(reorient_equations,[],[f1277]) ).
thf(f1279,definition,
( sF170
= ( eqimpsubset2
=> sF169 ) ),
introduced(definition,[new_symbols(definition,[sF170])],[function_definition]) ).
thf(f1280,plain,
( ( eqimpsubset2
=> sF169 )
= sF170 ),
inference(reorient_equations,[],[f1279]) ).
thf(f1281,definition,
( sF171
= ( subsetI1
=> sF170 ) ),
introduced(definition,[new_symbols(definition,[sF171])],[function_definition]) ).
thf(f1282,plain,
( ( subsetI1
=> sF170 )
= sF171 ),
inference(reorient_equations,[],[f1281]) ).
thf(f1283,definition,
( sF172
= ( dsetconstr__Cong
=> sF171 ) ),
introduced(definition,[new_symbols(definition,[sF172])],[function_definition]) ).
thf(f1284,plain,
( ( dsetconstr__Cong
=> sF171 )
= sF172 ),
inference(reorient_equations,[],[f1283]) ).
thf(f1285,definition,
( sF173
= ( descr__Cong
=> sF172 ) ),
introduced(definition,[new_symbols(definition,[sF173])],[function_definition]) ).
thf(f1286,plain,
( ( descr__Cong
=> sF172 )
= sF173 ),
inference(reorient_equations,[],[f1285]) ).
thf(f1287,definition,
( sF174
= ( exuEu
=> sF173 ) ),
introduced(definition,[new_symbols(definition,[sF174])],[function_definition]) ).
thf(f1288,definition,
( sF175
= ( omega__Cong
=> sF174 ) ),
introduced(definition,[new_symbols(definition,[sF175])],[function_definition]) ).
thf(f1289,definition,
( sF176
= ( setunion__Cong
=> sF175 ) ),
introduced(definition,[new_symbols(definition,[sF176])],[function_definition]) ).
thf(f1290,definition,
( sF177
= ( powerset__Cong
=> sF176 ) ),
introduced(definition,[new_symbols(definition,[sF177])],[function_definition]) ).
thf(f1291,definition,
( sF178
= ( setadjoin__Cong
=> sF177 ) ),
introduced(definition,[new_symbols(definition,[sF178])],[function_definition]) ).
thf(f1292,plain,
( ( setadjoin__Cong
=> sF177 )
= sF178 ),
inference(reorient_equations,[],[f1291]) ).
thf(f1293,definition,
( sF179
= ( emptyset__Cong
=> sF178 ) ),
introduced(definition,[new_symbols(definition,[sF179])],[function_definition]) ).
thf(f1294,plain,
( ( emptyset__Cong
=> sF178 )
= sF179 ),
inference(reorient_equations,[],[f1293]) ).
thf(f1295,definition,
( sF180
= ( exu__Cong
=> sF179 ) ),
introduced(definition,[new_symbols(definition,[sF180])],[function_definition]) ).
thf(f1296,definition,
( sF181
= ( exuE3u
=> sF180 ) ),
introduced(definition,[new_symbols(definition,[sF181])],[function_definition]) ).
thf(f1297,plain,
( ( exuE3u
=> sF180 )
= sF181 ),
inference(reorient_equations,[],[f1296]) ).
thf(f1298,definition,
( sF182
= ( in__Cong
=> sF181 ) ),
introduced(definition,[new_symbols(definition,[sF182])],[function_definition]) ).
thf(f1299,definition,
( sF183
= ( inCongP
=> sF182 ) ),
introduced(definition,[new_symbols(definition,[sF183])],[function_definition]) ).
thf(f1300,definition,
( sF184
= ( exuI2
=> sF183 ) ),
introduced(definition,[new_symbols(definition,[sF184])],[function_definition]) ).
thf(f1301,definition,
( sF185
= ( exuI3
=> sF184 ) ),
introduced(definition,[new_symbols(definition,[sF185])],[function_definition]) ).
thf(f1302,definition,
( sF186
= ( exuI1
=> sF185 ) ),
introduced(definition,[new_symbols(definition,[sF186])],[function_definition]) ).
thf(f1303,definition,
( sF187
= ( notdallE
=> sF186 ) ),
introduced(definition,[new_symbols(definition,[sF187])],[function_definition]) ).
thf(f1304,plain,
( ( notdallE
=> sF186 )
= sF187 ),
inference(reorient_equations,[],[f1303]) ).
thf(f1305,definition,
( sF188
= ( notdexE
=> sF187 ) ),
introduced(definition,[new_symbols(definition,[sF188])],[function_definition]) ).
thf(f1306,plain,
( ( notdexE
=> sF187 )
= sF188 ),
inference(reorient_equations,[],[f1305]) ).
thf(f1307,definition,
( sF189
= ( prop2set2propI
=> sF188 ) ),
introduced(definition,[new_symbols(definition,[sF189])],[function_definition]) ).
thf(f1308,definition,
( sF190
= ( prop2setI
=> sF189 ) ),
introduced(definition,[new_symbols(definition,[sF190])],[function_definition]) ).
thf(f1309,definition,
( sF191
= ( quantDeMorgan4
=> sF190 ) ),
introduced(definition,[new_symbols(definition,[sF191])],[function_definition]) ).
thf(f1310,definition,
( sF192
= ( quantDeMorgan3
=> sF191 ) ),
introduced(definition,[new_symbols(definition,[sF192])],[function_definition]) ).
thf(f1311,plain,
( ( quantDeMorgan3
=> sF191 )
= sF192 ),
inference(reorient_equations,[],[f1310]) ).
thf(f1312,definition,
( sF193
= ( quantDeMorgan2
=> sF192 ) ),
introduced(definition,[new_symbols(definition,[sF193])],[function_definition]) ).
thf(f1313,definition,
( sF194
= ( quantDeMorgan1
=> sF193 ) ),
introduced(definition,[new_symbols(definition,[sF194])],[function_definition]) ).
thf(f1314,plain,
( ( quantDeMorgan1
=> sF193 )
= sF194 ),
inference(reorient_equations,[],[f1313]) ).
thf(f1315,definition,
( sF195
= ( vacuousDall
=> sF194 ) ),
introduced(definition,[new_symbols(definition,[sF195])],[function_definition]) ).
thf(f1316,definition,
( sF196
= ( emptyE1
=> sF195 ) ),
introduced(definition,[new_symbols(definition,[sF196])],[function_definition]) ).
thf(f1317,definition,
( sF197
= ( upairsetIR
=> sF196 ) ),
introduced(definition,[new_symbols(definition,[sF197])],[function_definition]) ).
thf(f1318,definition,
( sF198
= ( upairsetIL
=> sF197 ) ),
introduced(definition,[new_symbols(definition,[sF198])],[function_definition]) ).
thf(f1319,plain,
( ( upairsetIL
=> sF197 )
= sF198 ),
inference(reorient_equations,[],[f1318]) ).
thf(f1320,definition,
( sF199
= ( upairsetE
=> sF198 ) ),
introduced(definition,[new_symbols(definition,[sF199])],[function_definition]) ).
thf(f1321,definition,
( sF200
= ( singletonsswitch
=> sF199 ) ),
introduced(definition,[new_symbols(definition,[sF200])],[function_definition]) ).
thf(f1322,definition,
( sF201
= ( eqinunit
=> sF200 ) ),
introduced(definition,[new_symbols(definition,[sF201])],[function_definition]) ).
thf(f1323,definition,
( sF202
= ( notinsingleton
=> sF201 ) ),
introduced(definition,[new_symbols(definition,[sF202])],[function_definition]) ).
thf(f1324,definition,
( sF203
= ( uniqinunit
=> sF202 ) ),
introduced(definition,[new_symbols(definition,[sF203])],[function_definition]) ).
thf(f1325,definition,
( sF204
= ( nonemptyImpWitness
=> sF203 ) ),
introduced(definition,[new_symbols(definition,[sF204])],[function_definition]) ).
thf(f1326,definition,
( sF205
= ( exuE2
=> sF204 ) ),
introduced(definition,[new_symbols(definition,[sF205])],[function_definition]) ).
thf(f1327,definition,
( sF206
= ( subPowSU
=> sF205 ) ),
introduced(definition,[new_symbols(definition,[sF206])],[function_definition]) ).
thf(f1328,plain,
( ( subPowSU
=> sF205 )
= sF206 ),
inference(reorient_equations,[],[f1327]) ).
thf(f1329,definition,
( sF207
= ( setunionE
=> sF206 ) ),
introduced(definition,[new_symbols(definition,[sF207])],[function_definition]) ).
thf(f1330,plain,
( ( setunionE
=> sF206 )
= sF207 ),
inference(reorient_equations,[],[f1329]) ).
thf(f1331,definition,
( sF208
= ( setunionI
=> sF207 ) ),
introduced(definition,[new_symbols(definition,[sF208])],[function_definition]) ).
thf(f1332,plain,
( ( setunionI
=> sF207 )
= sF208 ),
inference(reorient_equations,[],[f1331]) ).
thf(f1333,definition,
( sF209
= ( powersetE
=> sF208 ) ),
introduced(definition,[new_symbols(definition,[sF209])],[function_definition]) ).
thf(f1334,plain,
( ( powersetE
=> sF208 )
= sF209 ),
inference(reorient_equations,[],[f1333]) ).
thf(f1335,definition,
( sF210
= ( emptyInPowerset
=> sF209 ) ),
introduced(definition,[new_symbols(definition,[sF210])],[function_definition]) ).
thf(f1336,plain,
( ( emptyInPowerset
=> sF209 )
= sF210 ),
inference(reorient_equations,[],[f1335]) ).
thf(f1337,definition,
( sF211
= ( emptyinPowerset
=> sF210 ) ),
introduced(definition,[new_symbols(definition,[sF211])],[function_definition]) ).
thf(f1338,plain,
( ( emptyinPowerset
=> sF210 )
= sF211 ),
inference(reorient_equations,[],[f1337]) ).
thf(f1339,definition,
( sF212
= ( powersetI
=> sF211 ) ),
introduced(definition,[new_symbols(definition,[sF212])],[function_definition]) ).
thf(f1340,plain,
( ( powersetI
=> sF211 )
= sF212 ),
inference(reorient_equations,[],[f1339]) ).
thf(f1341,definition,
( sF213
= ( setoftrueEq
=> sF212 ) ),
introduced(definition,[new_symbols(definition,[sF213])],[function_definition]) ).
thf(f1342,plain,
( ( setoftrueEq
=> sF212 )
= sF213 ),
inference(reorient_equations,[],[f1341]) ).
thf(f1343,definition,
( sF214
= ( setadjoinOr
=> sF213 ) ),
introduced(definition,[new_symbols(definition,[sF214])],[function_definition]) ).
thf(f1344,plain,
( ( setadjoinOr
=> sF213 )
= sF214 ),
inference(reorient_equations,[],[f1343]) ).
thf(f1345,definition,
( sF215
= ( setadjoinE
=> sF214 ) ),
introduced(definition,[new_symbols(definition,[sF215])],[function_definition]) ).
thf(f1346,definition,
( sF216
= ( setadjoinIR
=> sF215 ) ),
introduced(definition,[new_symbols(definition,[sF216])],[function_definition]) ).
thf(f1347,plain,
( ( setadjoinIR
=> sF215 )
= sF216 ),
inference(reorient_equations,[],[f1346]) ).
thf(f1348,definition,
( sF217
= ( emptyinunitempty
=> sF216 ) ),
introduced(definition,[new_symbols(definition,[sF217])],[function_definition]) ).
thf(f1349,plain,
( ( emptyinunitempty
=> sF216 )
= sF217 ),
inference(reorient_equations,[],[f1348]) ).
thf(f1350,definition,
( sF218
= ( setadjoinIL
=> sF217 ) ),
introduced(definition,[new_symbols(definition,[sF218])],[function_definition]) ).
thf(f1351,definition,
( sF219
= ( nonemptyI1
=> sF218 ) ),
introduced(definition,[new_symbols(definition,[sF219])],[function_definition]) ).
thf(f1352,plain,
( ( nonemptyI1
=> sF218 )
= sF219 ),
inference(reorient_equations,[],[f1351]) ).
thf(f1353,definition,
( sF220
= ( nonemptyI
=> sF219 ) ),
introduced(definition,[new_symbols(definition,[sF220])],[function_definition]) ).
thf(f1354,definition,
( sF221
= ( nonemptyE1
=> sF220 ) ),
introduced(definition,[new_symbols(definition,[sF221])],[function_definition]) ).
thf(f1355,plain,
( ( nonemptyE1
=> sF220 )
= sF221 ),
inference(reorient_equations,[],[f1354]) ).
thf(f1356,definition,
( sF222
= ( setbeta
=> sF221 ) ),
introduced(definition,[new_symbols(definition,[sF222])],[function_definition]) ).
thf(f1357,definition,
( sF223
= ( noeltsimpempty
=> sF222 ) ),
introduced(definition,[new_symbols(definition,[sF223])],[function_definition]) ).
thf(f1358,definition,
( sF224
= ( emptyI
=> sF223 ) ),
introduced(definition,[new_symbols(definition,[sF224])],[function_definition]) ).
thf(f1359,plain,
( ( emptyI
=> sF223 )
= sF224 ),
inference(reorient_equations,[],[f1358]) ).
thf(f1360,definition,
( sF225
= ( setext
=> sF224 ) ),
introduced(definition,[new_symbols(definition,[sF225])],[function_definition]) ).
thf(f1361,definition,
( sF226
= ( exuE3e
=> sF225 ) ),
introduced(definition,[new_symbols(definition,[sF226])],[function_definition]) ).
thf(f1362,definition,
( sF227
= ( notinemptyset
=> sF226 ) ),
introduced(definition,[new_symbols(definition,[sF227])],[function_definition]) ).
thf(f1363,definition,
( sF228
= ( emptysetimpfalse
=> sF227 ) ),
introduced(definition,[new_symbols(definition,[sF228])],[function_definition]) ).
thf(f1364,plain,
( ( emptysetimpfalse
=> sF227 )
= sF228 ),
inference(reorient_equations,[],[f1363]) ).
thf(f1365,definition,
( sF229
= ( emptysetE
=> sF228 ) ),
introduced(definition,[new_symbols(definition,[sF229])],[function_definition]) ).
thf(f1366,plain,
( ( emptysetE
=> sF228 )
= sF229 ),
inference(reorient_equations,[],[f1365]) ).
thf(f1367,definition,
( sF230
= ( prop2setE
=> sF229 ) ),
introduced(definition,[new_symbols(definition,[sF230])],[function_definition]) ).
thf(f1368,plain,
( ( prop2setE
=> sF229 )
= sF230 ),
inference(reorient_equations,[],[f1367]) ).
thf(f1369,definition,
( sF231
= ( exuE1
=> sF230 ) ),
introduced(definition,[new_symbols(definition,[sF231])],[function_definition]) ).
thf(f1370,plain,
( ( exuE1
=> sF230 )
= sF231 ),
inference(reorient_equations,[],[f1369]) ).
thf(f1371,definition,
( sF232
= ( dsetconstrER
=> sF231 ) ),
introduced(definition,[new_symbols(definition,[sF232])],[function_definition]) ).
thf(f1372,definition,
( sF233
= ( dsetconstrEL
=> sF232 ) ),
introduced(definition,[new_symbols(definition,[sF233])],[function_definition]) ).
thf(f1373,plain,
( ( dsetconstrEL
=> sF232 )
= sF233 ),
inference(reorient_equations,[],[f1372]) ).
thf(f1374,definition,
( sF234
= ( dsetconstrI
=> sF233 ) ),
introduced(definition,[new_symbols(definition,[sF234])],[function_definition]) ).
thf(f1375,plain,
( ( dsetconstrI
=> sF233 )
= sF234 ),
inference(reorient_equations,[],[f1374]) ).
thf(f1376,definition,
( sF235
= ( descrp
=> sF234 ) ),
introduced(definition,[new_symbols(definition,[sF235])],[function_definition]) ).
thf(f1377,plain,
( ( descrp
=> sF234 )
= sF235 ),
inference(reorient_equations,[],[f1376]) ).
thf(f1378,definition,
( sF236
= ( wellorderingAx
=> sF235 ) ),
introduced(definition,[new_symbols(definition,[sF236])],[function_definition]) ).
thf(f1379,definition,
( sF237
= ( foundationAx
=> sF236 ) ),
introduced(definition,[new_symbols(definition,[sF237])],[function_definition]) ).
thf(f1380,definition,
( sF238
= ( replAx
=> sF237 ) ),
introduced(definition,[new_symbols(definition,[sF238])],[function_definition]) ).
thf(f1381,plain,
( ( replAx
=> sF237 )
= sF238 ),
inference(reorient_equations,[],[f1380]) ).
thf(f1382,definition,
( sF239
= ( omegaIndAx
=> sF238 ) ),
introduced(definition,[new_symbols(definition,[sF239])],[function_definition]) ).
thf(f1383,definition,
( sF240
= ( omegaSAx
=> sF239 ) ),
introduced(definition,[new_symbols(definition,[sF240])],[function_definition]) ).
thf(f1384,definition,
( sF241
= ( omega0Ax
=> sF240 ) ),
introduced(definition,[new_symbols(definition,[sF241])],[function_definition]) ).
thf(f1385,definition,
( sF242
= ( setunionAx
=> sF241 ) ),
introduced(definition,[new_symbols(definition,[sF242])],[function_definition]) ).
thf(f1386,definition,
( sF243
= ( powersetAx
=> sF242 ) ),
introduced(definition,[new_symbols(definition,[sF243])],[function_definition]) ).
thf(f1387,definition,
( sF244
= ( setadjoinAx
=> sF243 ) ),
introduced(definition,[new_symbols(definition,[sF244])],[function_definition]) ).
thf(f1388,definition,
( sF245
= ( emptysetAx
=> sF244 ) ),
introduced(definition,[new_symbols(definition,[sF245])],[function_definition]) ).
thf(f1389,definition,
( sF246
= ( setextAx
=> sF245 ) ),
introduced(definition,[new_symbols(definition,[sF246])],[function_definition]) ).
thf(f1390,definition,
( sF247 = ( ~ sF246 ) ),
introduced(definition,[new_symbols(definition,[sF247])],[function_definition]) ).
thf(f1391,plain,
sF247 = $true,
inference(definition_folding,[],[f771,f1390,f1389,f1388,f1387,f1386,f1385,f1384,f1383,f1382,f1381,f1379,f1378,f1377,f1375,f1373,f1371,f1370,f1368,f1366,f1364,f1362,f1361,f1360,f1359,f1357,f1356,f1355,f1353,f1352,f1350,f1349,f1347,f1345,f1344,f1342,f1340,f1338,f1336,f1334,f1332,f1330,f1328,f1326,f1325,f1324,f1323,f1322,f1321,f1320,f1319,f1317,f1316,f1315,f1314,f1312,f1311,f1309,f1308,f1307,f1306,f1304,f1302,f1301,f1300,f1299,f1298,f1297,f1295,f1294,f1292,f1290,f1289,f1288,f1287,f1286,f1284,f1282,f1280,f1278,f1276,f1275,f1274,f1272,f1270,f1269,f1268,f1266,f1265,f1264,f1262,f1261,f1260,f1259,f1257,f1255,f1254,f1253,f1252,f1250,f1249,f1247,f1246,f1244,f1243,f1241,f1239,f1238,f1237,f1236,f1235,f1233,f1232,f1231,f1230,f1228,f1227,f1226,f1225,f1223,f1221,f1220,f1218,f1217,f1216,f1214,f1213,f1212,f1210,f1209,f1207,f1205,f1203,f1201,f1200,f1198,f1196,f1195,f1193,f1191,f1189,f1188,f1187,f1186,f1185,f1183,f1181,f1179,f1177,f1176,f1174,f1173,f1172,f1170,f1169,f1167,f1166,f1164,f1162,f1160,f1159,f1157,f1155,f1154,f1152,f1150,f1149,f1148,f1147,f1145,f1143,f1142,f1140,f1139,f1137,f1135,f1133,f1131,f1129,f1128,f1126,f1125,f1123,f1121,f1120,f1118,f1117,f1115,f1113,f1112,f1110,f1108,f1107,f1105,f1104,f1102,f1101,f1099,f1097,f1095,f1094,f1093,f1091,f1090,f1089,f1088,f1086,f1085,f1083,f1082,f1081,f1079,f1078,f1076,f1075,f1073,f1072,f1071,f1069,f1068,f1066,f1065,f1063,f1061,f1060,f1058,f1056,f1054,f1052,f1050,f1049,f1047,f1046,f1044,f1042,f1041,f1040,f1039,f1037,f1036,f1034,f1032,f1031,f1029,f1027,f1026,f1024,f1023,f1021]) ).
thf(f1395,plain,
( exuE3u
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1010]) ).
thf(f1399,plain,
( nonemptyImpWitness
= ( !! @ $i
@ ^ [Y0: $i] :
( ( emptyset != Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( $true
& ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1019]) ).
thf(f1400,plain,
( nonemptyImpWitness
= ( !! @ $i
@ ^ [Y0: $i] :
( ( emptyset != Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f1399]) ).
thf(f1402,plain,
( dpsetconstrSub
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( subset @ ( dpsetconstr @ Y2 @ Y1 @ Y0 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f956]) ).
thf(f1406,plain,
emptyset__Cong = $true,
inference(boolean_simplification,[],[f743]) ).
thf(f1407,plain,
( setOfPairsIsBReln
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( subset @ ( dpsetconstr @ Y2 @ Y1 @ Y0 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1001]) ).
thf(f1408,plain,
( exuI1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f997]) ).
thf(f1409,plain,
( exuI1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true ) ),
inference(boolean_simplification,[],[f1408]) ).
thf(f1420,plain,
( lam2lamEq
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y2 @ Y3 ) @ Y0 ) ) )
=> ( ( lam @ Y1 @ Y0 @ Y2 )
= ( lam @ Y1 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f839]) ).
thf(f1421,plain,
( lam2lamEq
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y2 @ Y3 ) @ Y0 ) ) )
=> $true ) ) ) ) ),
inference(boolean_simplification,[],[f1420]) ).
thf(f1422,plain,
( lam2lamEq
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] : $true ) ) ) ),
inference(boolean_simplification,[],[f1421]) ).
thf(f1423,plain,
( nonemptyE1
= ( !! @ $i
@ ^ [Y0: $i] :
( ( emptyset != Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1009]) ).
thf(f1429,plain,
( exuE1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1017]) ).
thf(f1430,plain,
( exuE1
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true ) ),
inference(boolean_simplification,[],[f1429]) ).
thf(f1442,plain,
( exuEu
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1013]) ).
thf(f1443,plain,
omega__Cong = $true,
inference(boolean_simplification,[],[f801]) ).
thf(f1449,plain,
( emptysetimpfalse
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( in @ Y0 @ emptyset ) ) ),
inference(boolean_simplification,[],[f941]) ).
thf(f1456,plain,
( ( symdiffI1
=> ( symdiffI2
=> sF116 ) )
= sF118 ),
inference(backward_demodulation,[],[f1207,f1205]) ).
thf(f1457,plain,
upairsetIR = upairset2IR,
inference(forward_demodulation,[],[f780,f892]) ).
thf(f1458,plain,
dpsetconstrSub = setOfPairsIsBReln,
inference(forward_demodulation,[],[f1407,f1402]) ).
thf(f1459,plain,
( ( binintersectTERcontra
=> ( contrasubsetT
=> sF6 ) )
= sF8 ),
inference(forward_demodulation,[],[f1034,f1032]) ).
thf(f1460,plain,
( ( inCongP
=> ( in__Cong
=> sF181 ) )
= sF183 ),
inference(backward_demodulation,[],[f1299,f1298]) ).
thf(f1461,plain,
( sF229
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !! @ $o
@ ^ [Y1: $o] : Y1 ) ) )
=> sF228 ) ),
inference(forward_demodulation,[],[f1366,f828]) ).
thf(f1462,plain,
( sF150
= ( sepInPowerset
=> ( sepSubset
=> sF148 ) ) ),
inference(forward_demodulation,[],[f1252,f1250]) ).
thf(f1463,plain,
( ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> sF59 ) )
= sF61 ),
inference(forward_demodulation,[],[f1115,f1113]) ).
thf(f1464,plain,
emptyI = noeltsimpempty,
inference(backward_demodulation,[],[f762,f893]) ).
thf(f1465,plain,
( ( kfstpairEq
=> ( cartprodfstin
=> sF83 ) )
= sF85 ),
inference(backward_demodulation,[],[f1154,f1152]) ).
thf(f1466,plain,
( sF75
= ( ksndsingleton
=> ( ksndpairEq
=> sF73 ) ) ),
inference(backward_demodulation,[],[f1139,f1137]) ).
thf(f1467,plain,
nonemptyE1 = nonemptyImpWitness,
inference(forward_demodulation,[],[f1423,f1400]) ).
thf(f1468,plain,
( sF32
= ( beta2
=> ( eta2
=> sF30 ) ) ),
inference(forward_demodulation,[],[f1072,f1071]) ).
thf(f1469,plain,
( sF18
= ( powersetT_lem
=> ( setminusT_lem
=> sF16 ) ) ),
inference(forward_demodulation,[],[f1049,f1047]) ).
thf(f1470,plain,
( ( $true
=> sF178 )
= sF179 ),
inference(forward_demodulation,[],[f1294,f1406]) ).
thf(f1471,plain,
sF179 = sF178,
inference(boolean_simplification,[],[f1470]) ).
thf(f1472,plain,
( sF139
= ( binintersectEL
=> ( binintersectLsub
=> sF137 ) ) ),
inference(backward_demodulation,[],[f1236,f1235]) ).
thf(f1473,plain,
( sF186
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF185 ) ),
inference(forward_demodulation,[],[f1302,f1409]) ).
thf(f1474,plain,
( sF53
= ( funcinfuncset
=> ( lamProp
=> sF51 ) ) ),
inference(backward_demodulation,[],[f1102,f1101]) ).
thf(f1475,plain,
( sF231
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) ),
inference(backward_demodulation,[],[f1370,f1430]) ).
thf(f1476,plain,
emptyinPowerset = emptyInPowerset,
inference(forward_demodulation,[],[f945,f864]) ).
thf(f1477,plain,
emptysetAx = notinemptyset,
inference(forward_demodulation,[],[f848,f988]) ).
thf(f1478,plain,
( $true = ( ~ sF246 ) ),
inference(forward_demodulation,[],[f1390,f1391]) ).
thf(f1479,plain,
( sF243
= ( powersetAx
=> ( setunionAx
=> sF241 ) ) ),
inference(forward_demodulation,[],[f1386,f1385]) ).
thf(f1480,plain,
( sF124
= ( setminusELneg
=> ( setminusILneg
=> sF122 ) ) ),
inference(forward_demodulation,[],[f1216,f1214]) ).
thf(f1481,plain,
( sF239
= ( omegaIndAx
=> ( replAx
=> sF237 ) ) ),
inference(forward_demodulation,[],[f1382,f1381]) ).
thf(f1482,plain,
( sF227
= ( notinemptyset
=> ( exuE3e
=> sF225 ) ) ),
inference(backward_demodulation,[],[f1362,f1361]) ).
thf(f1483,plain,
( sF2
= ( doubleComplementE1
=> ( doubleComplementSub1
=> sF0 ) ) ),
inference(forward_demodulation,[],[f1024,f1023]) ).
thf(f1484,plain,
( sF134
= ( disjointsetsI1
=> ( binintersectRsub
=> sF132 ) ) ),
inference(forward_demodulation,[],[f1230,f1228]) ).
thf(f1485,plain,
upairsetIR = secondinupair,
inference(backward_demodulation,[],[f892,f880]) ).
thf(f1486,plain,
( sF167
= ( emptysetsubset
=> ( subsetE
=> sF165 ) ) ),
inference(backward_demodulation,[],[f1275,f1274]) ).
thf(f1487,plain,
( sF160
= ( subsetTrans
=> ( setadjoinSub
=> sF158 ) ) ),
inference(forward_demodulation,[],[f1265,f1264]) ).
thf(f1488,plain,
exuE3u = exuEu,
inference(backward_demodulation,[],[f1395,f1442]) ).
thf(f1489,plain,
( sF175
= ( $true
=> sF174 ) ),
inference(backward_demodulation,[],[f1288,f1443]) ).
thf(f1490,plain,
sF174 = sF175,
inference(boolean_simplification,[],[f1489]) ).
thf(f1491,plain,
( sF195
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( Y0 @ Y1 ) ) ) )
=> sF194 ) ),
inference(backward_demodulation,[],[f1315,f896]) ).
thf(f1492,plain,
emptysetimpfalse = notinemptyset,
inference(backward_demodulation,[],[f988,f1449]) ).
thf(f1493,plain,
( sF56
= ( app
=> ( infuncsetfunc
=> sF54 ) ) ),
inference(backward_demodulation,[],[f1107,f1105]) ).
thf(f1494,plain,
( ( setukpairinjR12
=> ( setukpairinjR1
=> sF78 ) )
= sF80 ),
inference(forward_demodulation,[],[f1147,f1145]) ).
thf(f1495,plain,
( ( noeltsimpempty
=> ( setbeta
=> sF221 ) )
= sF223 ),
inference(forward_demodulation,[],[f1357,f1356]) ).
thf(f1496,plain,
quantDeMorgan3 = notdexE,
inference(backward_demodulation,[],[f753,f898]) ).
thf(f1497,plain,
( ( dsetconstr__Cong
=> ( subsetI1
=> sF170 ) )
= sF172 ),
inference(backward_demodulation,[],[f1284,f1282]) ).
thf(f1498,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] : $true ) ) )
=> sF32 )
= sF33 ),
inference(forward_demodulation,[],[f1073,f1422]) ).
thf(f1499,plain,
upairsetE = upairset2E,
inference(forward_demodulation,[],[f869,f972]) ).
thf(f1500,plain,
( ( cartprodpairmemER
=> ( cartprodmempaircEq
=> sF68 ) )
= sF70 ),
inference(forward_demodulation,[],[f1129,f1128]) ).
thf(f1501,plain,
( ( ( in @ emptyset @ omega )
=> sF240 )
= sF241 ),
inference(forward_demodulation,[],[f1384,f788]) ).
thf(f1502,plain,
( ( setminusSubset1
=> ( symdiffE
=> sF118 ) )
= sF120 ),
inference(forward_demodulation,[],[f1210,f1209]) ).
thf(f1503,plain,
( sF147
= ( upairsetIR
=> sF146 ) ),
inference(backward_demodulation,[],[f1247,f1457]) ).
thf(f1504,plain,
( sF63
= ( dpsetconstrSub
=> sF62 ) ),
inference(backward_demodulation,[],[f1118,f1458]) ).
thf(f1505,plain,
( sF151
= ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> sF148 ) ) ) ),
inference(backward_demodulation,[],[f1253,f1462]) ).
thf(f1506,plain,
( ( noeltsimpempty
=> sF223 )
= sF224 ),
inference(backward_demodulation,[],[f1359,f1464]) ).
thf(f1507,plain,
( sF76
= ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> sF73 ) ) ) ),
inference(backward_demodulation,[],[f1140,f1466]) ).
thf(f1508,plain,
( sF221
= ( nonemptyImpWitness
=> sF220 ) ),
inference(backward_demodulation,[],[f1355,f1467]) ).
thf(f1509,plain,
( ( setadjoin__Cong
=> sF177 )
= sF179 ),
inference(backward_demodulation,[],[f1292,f1471]) ).
thf(f1510,plain,
( sF232
= ( dsetconstrER
=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) ) ),
inference(backward_demodulation,[],[f1371,f1475]) ).
thf(f1511,plain,
( sF210
= ( emptyinPowerset
=> sF209 ) ),
inference(backward_demodulation,[],[f1336,f1476]) ).
thf(f1512,plain,
( sF245
= ( notinemptyset
=> sF244 ) ),
inference(backward_demodulation,[],[f1388,f1477]) ).
thf(f1513,plain,
( ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> sF0 ) ) )
= sF3 ),
inference(backward_demodulation,[],[f1026,f1483]) ).
thf(f1515,plain,
( ( secondinupair
=> sF196 )
= sF197 ),
inference(backward_demodulation,[],[f1317,f1485]) ).
thf(f1516,plain,
( sF181
= ( exuEu
=> sF180 ) ),
inference(backward_demodulation,[],[f1297,f1488]) ).
thf(f1517,plain,
( sF175
= ( exuEu
=> sF173 ) ),
inference(backward_demodulation,[],[f1287,f1490]) ).
thf(f1518,plain,
( ( emptysetimpfalse
=> ( exuE3e
=> sF225 ) )
= sF227 ),
inference(backward_demodulation,[],[f1482,f1492]) ).
thf(f1519,plain,
emptysetAx = emptysetimpfalse,
inference(backward_demodulation,[],[f1477,f1492]) ).
thf(f1520,plain,
( ( quantDeMorgan3
=> sF187 )
= sF188 ),
inference(backward_demodulation,[],[f1306,f1496]) ).
thf(f1521,plain,
( ( upairset2E
=> sF198 )
= sF199 ),
inference(backward_demodulation,[],[f1320,f1499]) ).
thf(f1522,plain,
( ( secondinupair
=> sF146 )
= sF147 ),
inference(forward_demodulation,[],[f1503,f1485]) ).
thf(f1523,plain,
( ( dsetconstrEL
=> ( dsetconstrER
=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) ) )
= sF233 ),
inference(backward_demodulation,[],[f1373,f1510]) ).
thf(f1524,plain,
( ( emptysetimpfalse
=> sF244 )
= sF245 ),
inference(forward_demodulation,[],[f1512,f1492]) ).
thf(f1525,plain,
( ( binunionIL
=> ( secondinupair
=> sF146 ) )
= sF148 ),
inference(backward_demodulation,[],[f1249,f1522]) ).
thf(f1566,plain,
( ( emptysetimpfalse = $false )
| ( emptysetAx = $true ) ),
inference(fool_paramodulation,[],[f1519]) ).
thf(f1583,plain,
( ( ( contrasubsetT3
=> $true )
= sF4 )
| ( sF3 = $false ) ),
inference(fool_paramodulation,[],[f1027]) ).
thf(f1584,plain,
( ( sF3 = $false )
| ( $true = sF4 ) ),
inference(boolean_simplification,[],[f1583]) ).
thf(f1589,plain,
( ( ( contrasubsetT2
=> sF4 )
= $false )
| ( $true = sF5 ) ),
inference(iff_proxy_clausification,[],[f1029]) ).
thf(f1592,plain,
( ( sF4 = $false )
| ( $true = sF5 ) ),
inference(imp_proxy_clausification,[],[f1589]) ).
thf(f1602,plain,
( ( $true = sF6 )
| ( ( contrasubsetT1
=> sF5 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1031]) ).
thf(f1604,plain,
( ( sF5 = $false )
| ( $true = sF6 ) ),
inference(imp_proxy_clausification,[],[f1602]) ).
thf(f1616,plain,
( ( ( binintersectTELcontra
=> sF8 )
= $false )
| ( $true = sF9 ) ),
inference(iff_proxy_clausification,[],[f1036]) ).
thf(f1620,plain,
( ( $false = sF8 )
| ( $true = sF9 ) ),
inference(imp_proxy_clausification,[],[f1616]) ).
thf(f1625,plain,
( ( ( complementTE1
=> $true )
= sF10 )
| ( $false = sF9 ) ),
inference(fool_paramodulation,[],[f1037]) ).
thf(f1626,plain,
( ( sF10 = $true )
| ( $false = sF9 ) ),
inference(boolean_simplification,[],[f1625]) ).
thf(f1639,plain,
( ( ( powersetTE1
=> $true )
= sF12 )
| ( $false = sF11 ) ),
inference(fool_paramodulation,[],[f1040]) ).
thf(f1640,plain,
( ( $true = sF12 )
| ( $false = sF11 ) ),
inference(boolean_simplification,[],[f1639]) ).
thf(f1657,plain,
( ( sF14
= ( subsetTI
=> $true ) )
| ( sF13 = $false ) ),
inference(fool_paramodulation,[],[f1042]) ).
thf(f1658,plain,
( ( sF14 = $true )
| ( sF13 = $false ) ),
inference(boolean_simplification,[],[f1657]) ).
thf(f1670,plain,
( ( ( complementT_lem
=> sF15 )
= $false )
| ( $true = sF16 ) ),
inference(iff_proxy_clausification,[],[f1046]) ).
thf(f1674,plain,
( ( $false = sF15 )
| ( $true = sF16 ) ),
inference(imp_proxy_clausification,[],[f1670]) ).
thf(f1685,plain,
( ( sF18 = $false )
| ( ( binunionT_lem
=> $true )
= sF19 ) ),
inference(fool_paramodulation,[],[f1050]) ).
thf(f1686,plain,
( ( sF18 = $false )
| ( $true = sF19 ) ),
inference(boolean_simplification,[],[f1685]) ).
thf(f1696,plain,
( ( $true = sF20 )
| ( ( binintersectT_lem
=> sF19 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1052]) ).
thf(f1699,plain,
( ( $true = sF20 )
| ( sF19 = $false ) ),
inference(imp_proxy_clausification,[],[f1696]) ).
thf(f1703,plain,
( ( $true = sF21 )
| ( ( iftrueorfalse
=> sF20 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1054]) ).
thf(f1707,plain,
( ( sF20 = $false )
| ( $true = sF21 ) ),
inference(imp_proxy_clausification,[],[f1703]) ).
thf(f1710,plain,
( ( $true = sF22 )
| ( ( iffalse
=> sF21 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1056]) ).
thf(f1713,plain,
( ( $true = sF22 )
| ( $false = sF21 ) ),
inference(imp_proxy_clausification,[],[f1710]) ).
thf(f1717,plain,
( ( $true = sF23 )
| ( ( iftrue
=> sF22 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1058]) ).
thf(f1720,plain,
( ( sF22 = $false )
| ( $true = sF23 ) ),
inference(imp_proxy_clausification,[],[f1717]) ).
thf(f1724,plain,
( ( $true = sF24 )
| ( ( theeq
=> sF23 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1060]) ).
thf(f1728,plain,
( ( $true = sF24 )
| ( sF23 = $false ) ),
inference(imp_proxy_clausification,[],[f1724]) ).
thf(f1732,plain,
( ( sF25
= ( ifp
=> $true ) )
| ( sF24 = $false ) ),
inference(fool_paramodulation,[],[f1061]) ).
thf(f1733,plain,
( ( sF25 = $true )
| ( sF24 = $false ) ),
inference(boolean_simplification,[],[f1732]) ).
thf(f1747,plain,
( ( ( iftrueProp2
=> sF26 )
= $false )
| ( $true = sF27 ) ),
inference(iff_proxy_clausification,[],[f1065]) ).
thf(f1749,plain,
( ( $true = sF27 )
| ( sF26 = $false ) ),
inference(imp_proxy_clausification,[],[f1747]) ).
thf(f1755,plain,
( ( sF28
= ( iftrueProp1
=> $true ) )
| ( sF27 = $false ) ),
inference(fool_paramodulation,[],[f1066]) ).
thf(f1756,plain,
( ( sF28 = $true )
| ( sF27 = $false ) ),
inference(boolean_simplification,[],[f1755]) ).
thf(f1771,plain,
( ( $false = sF29 )
| ( ( iffalseProp1
=> $true )
= sF30 ) ),
inference(fool_paramodulation,[],[f1069]) ).
thf(f1772,plain,
( ( $true = sF30 )
| ( $false = sF29 ) ),
inference(boolean_simplification,[],[f1771]) ).
thf(f1791,plain,
( ( $true = sF34 )
| ( ( eta1
=> sF33 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1075]) ).
thf(f1795,plain,
( ( sF33 = $false )
| ( $true = sF34 ) ),
inference(imp_proxy_clausification,[],[f1791]) ).
thf(f1799,plain,
( ( $false = sF34 )
| ( sF35
= ( beta1
=> $true ) ) ),
inference(fool_paramodulation,[],[f1076]) ).
thf(f1800,plain,
( ( $true = sF35 )
| ( $false = sF34 ) ),
inference(boolean_simplification,[],[f1799]) ).
thf(f1814,plain,
( ( sF37
= ( ap2apEq1
=> $true ) )
| ( sF36 = $false ) ),
inference(fool_paramodulation,[],[f1079]) ).
thf(f1815,plain,
( ( sF37 = $true )
| ( sF36 = $false ) ),
inference(boolean_simplification,[],[f1814]) ).
thf(f1828,plain,
( ( sF38 = $false )
| ( sF39
= ( funcext
=> $true ) ) ),
inference(fool_paramodulation,[],[f1082]) ).
thf(f1829,plain,
( ( sF38 = $false )
| ( $true = sF39 ) ),
inference(boolean_simplification,[],[f1828]) ).
thf(f1839,plain,
( ( sF40
= ( eqbreln
=> $true ) )
| ( sF39 = $false ) ),
inference(fool_paramodulation,[],[f1083]) ).
thf(f1840,plain,
( ( sF40 = $true )
| ( sF39 = $false ) ),
inference(boolean_simplification,[],[f1839]) ).
thf(f1853,plain,
( ( sF42
= ( funcGraphProp4
=> $true ) )
| ( $false = sF41 ) ),
inference(fool_paramodulation,[],[f1086]) ).
thf(f1854,plain,
( ( sF42 = $true )
| ( $false = sF41 ) ),
inference(boolean_simplification,[],[f1853]) ).
thf(f1868,plain,
( ( sF44
= ( funcGraphProp2
=> $true ) )
| ( $false = sF43 ) ),
inference(fool_paramodulation,[],[f1089]) ).
thf(f1869,plain,
( ( sF44 = $true )
| ( $false = sF43 ) ),
inference(boolean_simplification,[],[f1868]) ).
thf(f1886,plain,
( ( ( funcGraphProp1
=> $true )
= sF46 )
| ( sF45 = $false ) ),
inference(fool_paramodulation,[],[f1091]) ).
thf(f1887,plain,
( ( sF46 = $true )
| ( sF45 = $false ) ),
inference(boolean_simplification,[],[f1886]) ).
thf(f1900,plain,
( ( sF48
= ( brelnall2
=> $true ) )
| ( sF47 = $false ) ),
inference(fool_paramodulation,[],[f1094]) ).
thf(f1901,plain,
( ( sF47 = $false )
| ( $true = sF48 ) ),
inference(boolean_simplification,[],[f1900]) ).
thf(f1907,plain,
( ( sF48 = $false )
| ( sF49
= ( brelnall1
=> $true ) ) ),
inference(fool_paramodulation,[],[f1095]) ).
thf(f1908,plain,
( ( sF49 = $true )
| ( sF48 = $false ) ),
inference(boolean_simplification,[],[f1907]) ).
thf(f1920,plain,
( ( $true = sF51 )
| ( ( lamp
=> sF50 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1099]) ).
thf(f1922,plain,
( ( sF50 = $false )
| ( $true = sF51 ) ),
inference(imp_proxy_clausification,[],[f1920]) ).
thf(f1936,plain,
( ( ( ap2p
=> sF53 )
= $false )
| ( $true = sF54 ) ),
inference(iff_proxy_clausification,[],[f1104]) ).
thf(f1940,plain,
( ( $true = sF54 )
| ( sF53 = $false ) ),
inference(imp_proxy_clausification,[],[f1936]) ).
thf(f1953,plain,
( ( sF56 = $false )
| ( sF57
= ( apProp
=> $true ) ) ),
inference(fool_paramodulation,[],[f1108]) ).
thf(f1954,plain,
( ( sF57 = $true )
| ( sF56 = $false ) ),
inference(boolean_simplification,[],[f1953]) ).
thf(f1966,plain,
( ( ( dpsetconstrER
=> sF58 )
= $false )
| ( $true = sF59 ) ),
inference(iff_proxy_clausification,[],[f1112]) ).
thf(f1968,plain,
( ( sF58 = $false )
| ( $true = sF59 ) ),
inference(imp_proxy_clausification,[],[f1966]) ).
thf(f1987,plain,
( ( ( dpsetconstrERa
=> sF61 )
= $false )
| ( $true = sF62 ) ),
inference(iff_proxy_clausification,[],[f1117]) ).
thf(f1989,plain,
( ( $false = sF61 )
| ( $true = sF62 ) ),
inference(imp_proxy_clausification,[],[f1987]) ).
thf(f1994,plain,
( ( $true = sF64 )
| ( ( dpsetconstrSub
=> sF63 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1120]) ).
thf(f1998,plain,
( ( sF63 = $false )
| ( $true = sF64 ) ),
inference(imp_proxy_clausification,[],[f1994]) ).
thf(f2005,plain,
( ( sF64 = $false )
| ( ( dpsetconstrI
=> $true )
= sF65 ) ),
inference(fool_paramodulation,[],[f1121]) ).
thf(f2006,plain,
( ( sF64 = $false )
| ( $true = sF65 ) ),
inference(boolean_simplification,[],[f2005]) ).
thf(f2011,plain,
( ( sF66 = $true )
| ( ( cartprodpairsurjEq
=> sF65 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1123]) ).
thf(f2014,plain,
( ( sF66 = $true )
| ( sF65 = $false ) ),
inference(imp_proxy_clausification,[],[f2011]) ).
thf(f2018,plain,
( ( ( cartprodsndpairEq
=> sF66 )
= $false )
| ( $true = sF67 ) ),
inference(iff_proxy_clausification,[],[f1125]) ).
thf(f2021,plain,
( ( sF66 = $false )
| ( $true = sF67 ) ),
inference(imp_proxy_clausification,[],[f2018]) ).
thf(f2032,plain,
( ( sF68
= ( cartprodfstpairEq
=> $true ) )
| ( $false = sF67 ) ),
inference(fool_paramodulation,[],[f1126]) ).
thf(f2033,plain,
( ( sF68 = $true )
| ( $false = sF67 ) ),
inference(boolean_simplification,[],[f2032]) ).
thf(f2045,plain,
( ( ( cartprodpairmemEL
=> sF70 )
= $false )
| ( $true = sF71 ) ),
inference(iff_proxy_clausification,[],[f1131]) ).
thf(f2048,plain,
( ( $true = sF71 )
| ( sF70 = $false ) ),
inference(imp_proxy_clausification,[],[f2045]) ).
thf(f2052,plain,
( ( $true = sF72 )
| ( ( cartprodsndin
=> sF71 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1133]) ).
thf(f2055,plain,
( ( $false = sF71 )
| ( $true = sF72 ) ),
inference(imp_proxy_clausification,[],[f2052]) ).
thf(f2059,plain,
( ( ( kpairsurjEq
=> sF72 )
= $false )
| ( $true = sF73 ) ),
inference(iff_proxy_clausification,[],[f1135]) ).
thf(f2063,plain,
( ( sF72 = $false )
| ( $true = sF73 ) ),
inference(imp_proxy_clausification,[],[f2059]) ).
thf(f2078,plain,
( ( ( setukpairinjR2
=> sF76 )
= $false )
| ( $true = sF77 ) ),
inference(iff_proxy_clausification,[],[f1142]) ).
thf(f2082,plain,
( ( sF76 = $false )
| ( $true = sF77 ) ),
inference(imp_proxy_clausification,[],[f2078]) ).
thf(f2086,plain,
( ( sF77 = $false )
| ( sF78
= ( upairequniteq
=> $true ) ) ),
inference(fool_paramodulation,[],[f1143]) ).
thf(f2087,plain,
( ( sF77 = $false )
| ( $true = sF78 ) ),
inference(boolean_simplification,[],[f2086]) ).
thf(f2107,plain,
( ( ( setukpairinjR11
=> $true )
= sF81 )
| ( sF80 = $false ) ),
inference(fool_paramodulation,[],[f1148]) ).
thf(f2108,plain,
( ( sF81 = $true )
| ( sF80 = $false ) ),
inference(boolean_simplification,[],[f2107]) ).
thf(f2121,plain,
( ( ( setukpairinjL2
=> $true )
= sF83 )
| ( sF82 = $false ) ),
inference(fool_paramodulation,[],[f1150]) ).
thf(f2122,plain,
( ( sF83 = $true )
| ( sF82 = $false ) ),
inference(boolean_simplification,[],[f2121]) ).
thf(f2145,plain,
( ( $false = sF85 )
| ( sF86
= ( theprop
=> $true ) ) ),
inference(fool_paramodulation,[],[f1155]) ).
thf(f2146,plain,
( ( sF86 = $true )
| ( $false = sF85 ) ),
inference(boolean_simplification,[],[f2145]) ).
thf(f2159,plain,
( ( ( setukpairinjL1
=> sF87 )
= $false )
| ( $true = sF88 ) ),
inference(iff_proxy_clausification,[],[f1159]) ).
thf(f2162,plain,
( ( $false = sF87 )
| ( $true = sF88 ) ),
inference(imp_proxy_clausification,[],[f2159]) ).
thf(f2167,plain,
( ( sF89
= ( singletonsuniq
=> $true ) )
| ( sF88 = $false ) ),
inference(fool_paramodulation,[],[f1160]) ).
thf(f2168,plain,
( ( sF89 = $true )
| ( sF88 = $false ) ),
inference(boolean_simplification,[],[f2167]) ).
thf(f2184,plain,
( ( $false
= ( ex1I
=> sF90 ) )
| ( $true = sF91 ) ),
inference(iff_proxy_clausification,[],[f1164]) ).
thf(f2188,plain,
( ( $false = sF90 )
| ( $true = sF91 ) ),
inference(imp_proxy_clausification,[],[f2184]) ).
thf(f2191,plain,
( ( sF92 = $true )
| ( ( ex1E1
=> sF91 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1166]) ).
thf(f2194,plain,
( ( $false = sF91 )
| ( sF92 = $true ) ),
inference(imp_proxy_clausification,[],[f2191]) ).
thf(f2199,plain,
( ( ( singletonprop
=> $true )
= sF93 )
| ( sF92 = $false ) ),
inference(fool_paramodulation,[],[f1167]) ).
thf(f2200,plain,
( ( sF93 = $true )
| ( sF92 = $false ) ),
inference(boolean_simplification,[],[f2199]) ).
thf(f2215,plain,
( ( sF94 = $false )
| ( ( setunionsingleton2
=> $true )
= sF95 ) ),
inference(fool_paramodulation,[],[f1170]) ).
thf(f2216,plain,
( ( sF94 = $false )
| ( $true = sF95 ) ),
inference(boolean_simplification,[],[f2215]) ).
thf(f2221,plain,
( ( sF96 = $true )
| ( ( setunionsingleton1
=> sF95 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1172]) ).
thf(f2224,plain,
( ( sF96 = $true )
| ( $false = sF95 ) ),
inference(imp_proxy_clausification,[],[f2221]) ).
thf(f2234,plain,
( ( sF96 = $false )
| ( sF97
= ( setunionE2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1173]) ).
thf(f2235,plain,
( ( sF96 = $false )
| ( $true = sF97 ) ),
inference(boolean_simplification,[],[f2234]) ).
thf(f2241,plain,
( ( ( cartprodmempair
=> $true )
= sF98 )
| ( sF97 = $false ) ),
inference(fool_paramodulation,[],[f1174]) ).
thf(f2242,plain,
( ( sF97 = $false )
| ( $true = sF98 ) ),
inference(boolean_simplification,[],[f2241]) ).
thf(f2247,plain,
( ( $true = sF99 )
| ( ( cartprodmempair1
=> sF98 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1176]) ).
thf(f2251,plain,
( ( $true = sF99 )
| ( sF98 = $false ) ),
inference(imp_proxy_clausification,[],[f2247]) ).
thf(f2254,plain,
( ( ( complementTI1
=> $true )
= sF11 )
| ( $false = sF9 ) ),
inference(superposition,[],[f1039,f1626]) ).
thf(f2255,plain,
( ( $false = sF9 )
| ( $true = sF11 ) ),
inference(boolean_simplification,[],[f2254]) ).
thf(f2258,plain,
( ( $false = sF99 )
| ( sF100
= ( cartprodpairin
=> $true ) ) ),
inference(fool_paramodulation,[],[f1177]) ).
thf(f2259,plain,
( ( sF100 = $true )
| ( $false = sF99 ) ),
inference(boolean_simplification,[],[f2258]) ).
thf(f2271,plain,
( ( ( ubforcartprodlem2
=> sF101 )
= $false )
| ( $true = sF102 ) ),
inference(iff_proxy_clausification,[],[f1181]) ).
thf(f2275,plain,
( ( $true = sF102 )
| ( sF101 = $false ) ),
inference(imp_proxy_clausification,[],[f2271]) ).
thf(f2278,plain,
( ( ( powersetTI1
=> $true )
= sF13 )
| ( $false = sF11 ) ),
inference(superposition,[],[f1041,f1640]) ).
thf(f2279,plain,
( ( $false = sF11 )
| ( $true = sF13 ) ),
inference(boolean_simplification,[],[f2278]) ).
thf(f2281,plain,
( ( $true = sF103 )
| ( ( ubforcartprodlem1
=> sF102 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1183]) ).
thf(f2285,plain,
( ( $false = sF102 )
| ( $true = sF103 ) ),
inference(imp_proxy_clausification,[],[f2281]) ).
thf(f2288,plain,
( ( ( upairinpowunion
=> sF103 )
= $false )
| ( $true = sF104 ) ),
inference(iff_proxy_clausification,[],[f1185]) ).
thf(f2290,plain,
( ( $true = sF104 )
| ( sF103 = $false ) ),
inference(imp_proxy_clausification,[],[f2288]) ).
thf(f2296,plain,
( ( sF104 = $false )
| ( sF105
= ( upairsubunion
=> $true ) ) ),
inference(fool_paramodulation,[],[f1186]) ).
thf(f2297,plain,
( ( sF104 = $false )
| ( $true = sF105 ) ),
inference(boolean_simplification,[],[f2296]) ).
thf(f2320,plain,
( ( sF106 = $false )
| ( sF107
= ( singletoninpowunion
=> $true ) ) ),
inference(fool_paramodulation,[],[f1188]) ).
thf(f2321,plain,
( ( sF107 = $true )
| ( sF106 = $false ) ),
inference(boolean_simplification,[],[f2320]) ).
thf(f2333,plain,
( ( sF13 = $false )
| ( ( setextT
=> $true )
= sF15 ) ),
inference(superposition,[],[f1044,f1658]) ).
thf(f2334,plain,
( ( $true = sF15 )
| ( sF13 = $false ) ),
inference(boolean_simplification,[],[f2333]) ).
thf(f2336,plain,
( ( ( singletonsubset
=> sF108 )
= $false )
| ( $true = sF109 ) ),
inference(iff_proxy_clausification,[],[f1191]) ).
thf(f2339,plain,
( ( $true = sF109 )
| ( sF108 = $false ) ),
inference(imp_proxy_clausification,[],[f2336]) ).
thf(f2343,plain,
( ( $true = sF110 )
| ( ( kpairp
=> sF109 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1193]) ).
thf(f2346,plain,
( ( $true = sF110 )
| ( $false = sF109 ) ),
inference(imp_proxy_clausification,[],[f2343]) ).
thf(f2350,plain,
( ( sF111 = $true )
| ( ( kpairiskpair
=> sF110 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1195]) ).
thf(f2353,plain,
( ( sF110 = $false )
| ( sF111 = $true ) ),
inference(imp_proxy_clausification,[],[f2350]) ).
thf(f2363,plain,
( ( sF111 = $false )
| ( ( setukpairIR
=> $true )
= sF112 ) ),
inference(fool_paramodulation,[],[f1196]) ).
thf(f2364,plain,
( ( sF112 = $true )
| ( sF111 = $false ) ),
inference(boolean_simplification,[],[f2363]) ).
thf(f2376,plain,
( ( $true = sF114 )
| ( ( secondinupair
=> sF113 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1200]) ).
thf(f2390,plain,
( ( $false = sF113 )
| ( $true = sF114 ) ),
inference(imp_proxy_clausification,[],[f2376]) ).
thf(f2396,plain,
( ( sF114 = $false )
| ( sF115
= ( symdiffIneg2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1201]) ).
thf(f2397,plain,
( ( sF115 = $true )
| ( sF114 = $false ) ),
inference(boolean_simplification,[],[f2396]) ).
thf(f2416,plain,
( ( sF26
= ( ifSingleton
=> $true ) )
| ( sF24 = $false ) ),
inference(superposition,[],[f1063,f1733]) ).
thf(f2417,plain,
( ( sF24 = $false )
| ( sF26 = $true ) ),
inference(boolean_simplification,[],[f2416]) ).
thf(f2426,plain,
( ( ( setminusLsub
=> sF120 )
= $false )
| ( $true = sF121 ) ),
inference(iff_proxy_clausification,[],[f1212]) ).
thf(f2430,plain,
( ( sF120 = $false )
| ( $true = sF121 ) ),
inference(imp_proxy_clausification,[],[f2426]) ).
thf(f2434,plain,
( ( ( setminusIRneg
=> $true )
= sF122 )
| ( $false = sF121 ) ),
inference(fool_paramodulation,[],[f1213]) ).
thf(f2435,plain,
( ( sF122 = $true )
| ( $false = sF121 ) ),
inference(boolean_simplification,[],[f2434]) ).
thf(f2440,plain,
( ( sF27 = $false )
| ( ( iffalseProp2
=> $true )
= sF29 ) ),
inference(superposition,[],[f1068,f1756]) ).
thf(f2441,plain,
( ( $true = sF29 )
| ( sF27 = $false ) ),
inference(boolean_simplification,[],[f2440]) ).
thf(f2451,plain,
( ( ( setminusERneg
=> $true )
= sF125 )
| ( $false = sF124 ) ),
inference(fool_paramodulation,[],[f1217]) ).
thf(f2452,plain,
( ( $false = sF124 )
| ( sF125 = $true ) ),
inference(boolean_simplification,[],[f2451]) ).
thf(f2458,plain,
( ( sF125 = $false )
| ( sF126
= ( setminusSubset2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1218]) ).
thf(f2459,plain,
( ( sF125 = $false )
| ( $true = sF126 ) ),
inference(boolean_simplification,[],[f2458]) ).
thf(f2465,plain,
( ( sF127 = $true )
| ( ( setminusER
=> sF126 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1220]) ).
thf(f2469,plain,
( ( sF127 = $true )
| ( sF126 = $false ) ),
inference(imp_proxy_clausification,[],[f2465]) ).
thf(f2470,plain,
( ( sF127 = $true )
| ( setminusER = $true ) ),
inference(imp_proxy_clausification,[],[f2465]) ).
thf(f2471,plain,
( ( ( setminusEL
=> sF127 )
= $false )
| ( sF128 = $true ) ),
inference(iff_proxy_clausification,[],[f1221]) ).
thf(f2473,plain,
( ( sF127 = $false )
| ( ( setminusEL
=> $true )
= sF128 ) ),
inference(fool_paramodulation,[],[f1221]) ).
thf(f2474,plain,
( ( sF128 = $true )
| ( sF127 = $false ) ),
inference(boolean_simplification,[],[f2473]) ).
thf(f2476,plain,
( ( sF128 = $true )
| ( setminusEL = $true ) ),
inference(imp_proxy_clausification,[],[f2471]) ).
thf(f2479,plain,
( ( $true = sF129 )
| ( ( setminusI
=> sF128 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1223]) ).
thf(f2482,plain,
( ( sF128 = $false )
| ( $true = sF129 ) ),
inference(imp_proxy_clausification,[],[f2479]) ).
thf(f2483,plain,
( ( $true = sF129 )
| ( setminusI = $true ) ),
inference(imp_proxy_clausification,[],[f2479]) ).
thf(f2486,plain,
( ( $false = sF34 )
| ( sF36
= ( ap2apEq2
=> $true ) ) ),
inference(superposition,[],[f1078,f1800]) ).
thf(f2487,plain,
( ( $true = sF36 )
| ( $false = sF34 ) ),
inference(boolean_simplification,[],[f2486]) ).
thf(f2489,plain,
( ( ( bs114d
=> sF129 )
= $false )
| ( sF130 = $true ) ),
inference(iff_proxy_clausification,[],[f1225]) ).
thf(f2491,plain,
( ( sF130 = $true )
| ( $false = sF129 ) ),
inference(imp_proxy_clausification,[],[f2489]) ).
thf(f2497,plain,
( ( sF130 = $false )
| ( sF131
= ( binintersectSubset1
=> $true ) ) ),
inference(fool_paramodulation,[],[f1226]) ).
thf(f2498,plain,
( ( sF130 = $false )
| ( sF131 = $true ) ),
inference(boolean_simplification,[],[f2497]) ).
thf(f2504,plain,
( ( sF132
= ( binintersectSubset4
=> $true ) )
| ( sF131 = $false ) ),
inference(fool_paramodulation,[],[f1227]) ).
thf(f2505,plain,
( ( sF132 = $true )
| ( sF131 = $false ) ),
inference(boolean_simplification,[],[f2504]) ).
thf(f2510,plain,
( ( sF36 = $false )
| ( ( funcext2
=> $true )
= sF38 ) ),
inference(superposition,[],[f1081,f1815]) ).
thf(f2511,plain,
( ( sF36 = $false )
| ( sF38 = $true ) ),
inference(boolean_simplification,[],[f2510]) ).
thf(f2521,plain,
( ( ( binintersectER
=> $true )
= sF135 )
| ( sF134 = $false ) ),
inference(fool_paramodulation,[],[f1231]) ).
thf(f2522,plain,
( ( sF134 = $false )
| ( sF135 = $true ) ),
inference(boolean_simplification,[],[f2521]) ).
thf(f2528,plain,
( ( sF135 = $false )
| ( sF136
= ( binintersectSubset3
=> $true ) ) ),
inference(fool_paramodulation,[],[f1232]) ).
thf(f2529,plain,
( ( sF136 = $true )
| ( sF135 = $false ) ),
inference(boolean_simplification,[],[f2528]) ).
thf(f2537,plain,
( ( sF137
= ( binintersectSubset2
=> $true ) )
| ( sF136 = $false ) ),
inference(fool_paramodulation,[],[f1233]) ).
thf(f2538,plain,
( ( sF136 = $false )
| ( sF137 = $true ) ),
inference(boolean_simplification,[],[f2537]) ).
thf(f2551,plain,
( ( sF139 = $false )
| ( sF140
= ( binintersectSubset5
=> $true ) ) ),
inference(fool_paramodulation,[],[f1237]) ).
thf(f2552,plain,
( ( sF140 = $true )
| ( sF139 = $false ) ),
inference(boolean_simplification,[],[f2551]) ).
thf(f2557,plain,
( ( sF39 = $false )
| ( ( subbreln
=> $true )
= sF41 ) ),
inference(superposition,[],[f1085,f1840]) ).
thf(f2558,plain,
( ( sF39 = $false )
| ( $true = sF41 ) ),
inference(boolean_simplification,[],[f2557]) ).
thf(f2561,plain,
( ( sF140 = $false )
| ( ( binintersectI
=> $true )
= sF141 ) ),
inference(fool_paramodulation,[],[f1238]) ).
thf(f2562,plain,
( ( sF140 = $false )
| ( $true = sF141 ) ),
inference(boolean_simplification,[],[f2561]) ).
thf(f2568,plain,
( ( sF141 = $false )
| ( ( binunionRsub
=> $true )
= sF142 ) ),
inference(fool_paramodulation,[],[f1239]) ).
thf(f2569,plain,
( ( $true = sF142 )
| ( sF141 = $false ) ),
inference(boolean_simplification,[],[f2568]) ).
thf(f2574,plain,
( ( ( binunionLsub
=> sF142 )
= $false )
| ( $true = sF143 ) ),
inference(iff_proxy_clausification,[],[f1241]) ).
thf(f2577,plain,
( ( $true = sF143 )
| ( sF142 = $false ) ),
inference(imp_proxy_clausification,[],[f2574]) ).
thf(f2581,plain,
( ( ( funcextLem
=> $true )
= sF43 )
| ( $false = sF41 ) ),
inference(superposition,[],[f1088,f1854]) ).
thf(f2582,plain,
( ( $true = sF43 )
| ( $false = sF41 ) ),
inference(boolean_simplification,[],[f2581]) ).
thf(f2584,plain,
( ( $true = sF144 )
| ( ( binunionE
=> sF143 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1243]) ).
thf(f2588,plain,
( ( sF143 = $false )
| ( $true = sF144 ) ),
inference(imp_proxy_clausification,[],[f2584]) ).
thf(f2592,plain,
( ( sF145
= ( binunionEcases
=> $true ) )
| ( $false = sF144 ) ),
inference(fool_paramodulation,[],[f1244]) ).
thf(f2593,plain,
( ( $false = sF144 )
| ( sF145 = $true ) ),
inference(boolean_simplification,[],[f2592]) ).
thf(f2598,plain,
( ( $true = sF146 )
| ( ( binunionIR
=> sF145 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1246]) ).
thf(f2600,plain,
( ( sF145 = $false )
| ( $true = sF146 ) ),
inference(imp_proxy_clausification,[],[f2598]) ).
thf(f2605,plain,
( ( sF45
= ( funcGraphProp3
=> $true ) )
| ( $false = sF43 ) ),
inference(superposition,[],[f1090,f1869]) ).
thf(f2606,plain,
( ( sF45 = $true )
| ( $false = sF43 ) ),
inference(boolean_simplification,[],[f2605]) ).
thf(f2616,plain,
( ( sF151 = $false )
| ( ( inPowerset
=> $true )
= sF152 ) ),
inference(fool_paramodulation,[],[f1254]) ).
thf(f2617,plain,
( ( sF151 = $false )
| ( $true = sF152 ) ),
inference(boolean_simplification,[],[f2616]) ).
thf(f2623,plain,
( ( sF152 = $false )
| ( sF153
= ( powersetE1
=> $true ) ) ),
inference(fool_paramodulation,[],[f1255]) ).
thf(f2624,plain,
( ( $true = sF153 )
| ( sF152 = $false ) ),
inference(boolean_simplification,[],[f2623]) ).
thf(f2632,plain,
( ( $true = sF154 )
| ( ( powersetI1
=> sF153 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1257]) ).
thf(f2635,plain,
( ( $true = sF154 )
| ( sF153 = $false ) ),
inference(imp_proxy_clausification,[],[f2632]) ).
thf(f2639,plain,
( ( ( subsetemptysetimpeq
=> sF154 )
= $false )
| ( $true = sF155 ) ),
inference(iff_proxy_clausification,[],[f1259]) ).
thf(f2643,plain,
( ( sF154 = $false )
| ( $true = sF155 ) ),
inference(imp_proxy_clausification,[],[f2639]) ).
thf(f2647,plain,
( ( sF155 = $false )
| ( sF156
= ( setextsub
=> $true ) ) ),
inference(fool_paramodulation,[],[f1260]) ).
thf(f2648,plain,
( ( sF155 = $false )
| ( sF156 = $true ) ),
inference(boolean_simplification,[],[f2647]) ).
thf(f2653,plain,
( ( sF47
= ( ex1E2
=> $true ) )
| ( sF45 = $false ) ),
inference(superposition,[],[f1093,f1887]) ).
thf(f2654,plain,
( ( sF45 = $false )
| ( sF47 = $true ) ),
inference(boolean_simplification,[],[f2653]) ).
thf(f2657,plain,
( ( sF156 = $false )
| ( ( subset2powerset
=> $true )
= sF157 ) ),
inference(fool_paramodulation,[],[f1261]) ).
thf(f2658,plain,
( ( sF157 = $true )
| ( sF156 = $false ) ),
inference(boolean_simplification,[],[f2657]) ).
thf(f2664,plain,
( ( sF157 = $false )
| ( sF158
= ( setadjoinSub2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1262]) ).
thf(f2665,plain,
( ( $true = sF158 )
| ( sF157 = $false ) ),
inference(boolean_simplification,[],[f2664]) ).
thf(f2680,plain,
( ( sF160 = $false )
| ( sF161
= ( subsetRefl
=> $true ) ) ),
inference(fool_paramodulation,[],[f1266]) ).
thf(f2681,plain,
( ( sF161 = $true )
| ( sF160 = $false ) ),
inference(boolean_simplification,[],[f2680]) ).
thf(f2686,plain,
( ( ( notequalI2
=> sF161 )
= $false )
| ( $true = sF162 ) ),
inference(iff_proxy_clausification,[],[f1268]) ).
thf(f2688,plain,
( ( sF161 = $false )
| ( $true = sF162 ) ),
inference(imp_proxy_clausification,[],[f2686]) ).
thf(f2694,plain,
( ( sF162 = $false )
| ( sF163
= ( notequalI1
=> $true ) ) ),
inference(fool_paramodulation,[],[f1269]) ).
thf(f2695,plain,
( ( sF162 = $false )
| ( sF163 = $true ) ),
inference(boolean_simplification,[],[f2694]) ).
thf(f2700,plain,
( ( ( lam2p
=> $true )
= sF50 )
| ( sF48 = $false ) ),
inference(superposition,[],[f1097,f1908]) ).
thf(f2701,plain,
( ( sF48 = $false )
| ( $true = sF50 ) ),
inference(boolean_simplification,[],[f2700]) ).
thf(f2704,plain,
( ( ( notsubsetI
=> $true )
= sF164 )
| ( sF163 = $false ) ),
inference(fool_paramodulation,[],[f1270]) ).
thf(f2705,plain,
( ( sF164 = $true )
| ( sF163 = $false ) ),
inference(boolean_simplification,[],[f2704]) ).
thf(f2710,plain,
( ( ( subsetE2
=> sF164 )
= $false )
| ( $true = sF165 ) ),
inference(iff_proxy_clausification,[],[f1272]) ).
thf(f2712,plain,
( ( sF164 = $false )
| ( $true = sF165 ) ),
inference(imp_proxy_clausification,[],[f2710]) ).
thf(f2730,plain,
( ( sF167 = $false )
| ( sF168
= ( subsetI2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1276]) ).
thf(f2731,plain,
( ( sF168 = $true )
| ( sF167 = $false ) ),
inference(boolean_simplification,[],[f2730]) ).
thf(f2736,plain,
( ( $true = sF169 )
| ( ( eqimpsubset1
=> sF168 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1278]) ).
thf(f2740,plain,
( ( $true = sF169 )
| ( sF168 = $false ) ),
inference(imp_proxy_clausification,[],[f2736]) ).
thf(f2743,plain,
( ( $true = sF170 )
| ( ( eqimpsubset2
=> sF169 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1280]) ).
thf(f2746,plain,
( ( $true = sF170 )
| ( sF169 = $false ) ),
inference(imp_proxy_clausification,[],[f2743]) ).
thf(f2747,plain,
( ( eqimpsubset2 = $true )
| ( $true = sF170 ) ),
inference(imp_proxy_clausification,[],[f2743]) ).
thf(f2750,plain,
( ( ( funcImageSingleton
=> $true )
= sF58 )
| ( sF56 = $false ) ),
inference(superposition,[],[f1110,f1954]) ).
thf(f2751,plain,
( ( sF56 = $false )
| ( $true = sF58 ) ),
inference(boolean_simplification,[],[f2750]) ).
thf(f2760,plain,
( ( sF173 = $true )
| ( ( descr__Cong
=> sF172 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1286]) ).
thf(f2762,plain,
( ( $false = sF172 )
| ( sF173 = $true ) ),
inference(imp_proxy_clausification,[],[f2760]) ).
thf(f2768,plain,
( ( sF175 = $false )
| ( sF176
= ( setunion__Cong
=> $true ) ) ),
inference(fool_paramodulation,[],[f1289]) ).
thf(f2771,plain,
( ( sF175 = $false )
| ( sF176 = $true ) ),
inference(boolean_simplification,[],[f2768]) ).
thf(f2778,plain,
( ( sF177
= ( powerset__Cong
=> $true ) )
| ( sF176 = $false ) ),
inference(fool_paramodulation,[],[f1290]) ).
thf(f2779,plain,
( ( sF176 = $false )
| ( sF177 = $true ) ),
inference(boolean_simplification,[],[f2778]) ).
thf(f2785,plain,
( ( sF180
= ( exu__Cong
=> $true ) )
| ( sF179 = $false ) ),
inference(fool_paramodulation,[],[f1295]) ).
thf(f2788,plain,
( ( $true = sF180 )
| ( sF179 = $false ) ),
inference(boolean_simplification,[],[f2785]) ).
thf(f2804,plain,
( ( sF183 = $false )
| ( sF184
= ( exuI2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1300]) ).
thf(f2805,plain,
( ( sF183 = $false )
| ( sF184 = $true ) ),
inference(boolean_simplification,[],[f2804]) ).
thf(f2811,plain,
( ( ( exuI3
=> $true )
= sF185 )
| ( sF184 = $false ) ),
inference(fool_paramodulation,[],[f1301]) ).
thf(f2812,plain,
( ( sF184 = $false )
| ( $true = sF185 ) ),
inference(boolean_simplification,[],[f2811]) ).
thf(f2817,plain,
( ( $true = sF187 )
| ( $false
= ( notdallE
=> sF186 ) ) ),
inference(iff_proxy_clausification,[],[f1304]) ).
thf(f2821,plain,
( ( sF186 = $false )
| ( $true = sF187 ) ),
inference(imp_proxy_clausification,[],[f2817]) ).
thf(f2826,plain,
( ( sF188 = $false )
| ( ( prop2set2propI
=> $true )
= sF189 ) ),
inference(fool_paramodulation,[],[f1307]) ).
thf(f2827,plain,
( ( $true = sF189 )
| ( sF188 = $false ) ),
inference(boolean_simplification,[],[f2826]) ).
thf(f2833,plain,
( ( sF190
= ( prop2setI
=> $true ) )
| ( sF189 = $false ) ),
inference(fool_paramodulation,[],[f1308]) ).
thf(f2834,plain,
( ( sF190 = $true )
| ( sF189 = $false ) ),
inference(boolean_simplification,[],[f2833]) ).
thf(f2840,plain,
( ( sF190 = $false )
| ( ( quantDeMorgan4
=> $true )
= sF191 ) ),
inference(fool_paramodulation,[],[f1309]) ).
thf(f2841,plain,
( ( sF190 = $false )
| ( sF191 = $true ) ),
inference(boolean_simplification,[],[f2840]) ).
thf(f2848,plain,
( ( $true = sF192 )
| ( ( quantDeMorgan3
=> sF191 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1311]) ).
thf(f2851,plain,
( ( $true = sF192 )
| ( sF191 = $false ) ),
inference(imp_proxy_clausification,[],[f2848]) ).
thf(f2852,plain,
( ( quantDeMorgan3 = $true )
| ( $true = sF192 ) ),
inference(imp_proxy_clausification,[],[f2848]) ).
thf(f2856,plain,
( ( sF193
= ( quantDeMorgan2
=> $true ) )
| ( $false = sF192 ) ),
inference(fool_paramodulation,[],[f1312]) ).
thf(f2857,plain,
( ( sF193 = $true )
| ( $false = sF192 ) ),
inference(boolean_simplification,[],[f2856]) ).
thf(f2862,plain,
( ( ( quantDeMorgan1
=> sF193 )
= $false )
| ( $true = sF194 ) ),
inference(iff_proxy_clausification,[],[f1314]) ).
thf(f2866,plain,
( ( $true = sF194 )
| ( sF193 = $false ) ),
inference(imp_proxy_clausification,[],[f2862]) ).
thf(f2869,plain,
( ( sF80 = $false )
| ( sF82
= ( setukpairinjL
=> $true ) ) ),
inference(superposition,[],[f1149,f2108]) ).
thf(f2870,plain,
( ( sF82 = $true )
| ( sF80 = $false ) ),
inference(boolean_simplification,[],[f2869]) ).
thf(f2873,plain,
( ( ( emptyE1
=> $true )
= sF196 )
| ( sF195 = $false ) ),
inference(fool_paramodulation,[],[f1316]) ).
thf(f2874,plain,
( ( $true = sF196 )
| ( sF195 = $false ) ),
inference(boolean_simplification,[],[f2873]) ).
thf(f2879,plain,
( ( $true = sF198 )
| ( ( upairsetIL
=> sF197 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1319]) ).
thf(f2882,plain,
( ( sF197 = $false )
| ( $true = sF198 ) ),
inference(imp_proxy_clausification,[],[f2879]) ).
thf(f2887,plain,
( ( sF199 = $false )
| ( sF200
= ( singletonsswitch
=> $true ) ) ),
inference(fool_paramodulation,[],[f1321]) ).
thf(f2888,plain,
( ( sF200 = $true )
| ( sF199 = $false ) ),
inference(boolean_simplification,[],[f2887]) ).
thf(f2897,plain,
( ( sF200 = $false )
| ( sF201
= ( eqinunit
=> $true ) ) ),
inference(fool_paramodulation,[],[f1322]) ).
thf(f2898,plain,
( ( $true = sF201 )
| ( sF200 = $false ) ),
inference(boolean_simplification,[],[f2897]) ).
thf(f2904,plain,
( ( sF202
= ( notinsingleton
=> $true ) )
| ( sF201 = $false ) ),
inference(fool_paramodulation,[],[f1323]) ).
thf(f2905,plain,
( ( sF202 = $true )
| ( sF201 = $false ) ),
inference(boolean_simplification,[],[f2904]) ).
thf(f2931,plain,
( ( sF204 = $false )
| ( sF205
= ( exuE2
=> $true ) ) ),
inference(fool_paramodulation,[],[f1326]) ).
thf(f2932,plain,
( ( sF205 = $true )
| ( sF204 = $false ) ),
inference(boolean_simplification,[],[f2931]) ).
thf(f2937,plain,
( ( $true = sF206 )
| ( ( subPowSU
=> sF205 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1328]) ).
thf(f2940,plain,
( ( $true = sF206 )
| ( sF205 = $false ) ),
inference(imp_proxy_clausification,[],[f2937]) ).
thf(f2944,plain,
( ( sF87
= ( kfstsingleton
=> $true ) )
| ( $false = sF85 ) ),
inference(superposition,[],[f1157,f2146]) ).
thf(f2945,plain,
( ( $false = sF85 )
| ( $true = sF87 ) ),
inference(boolean_simplification,[],[f2944]) ).
thf(f2947,plain,
( ( ( setunionE
=> sF206 )
= $false )
| ( $true = sF207 ) ),
inference(iff_proxy_clausification,[],[f1330]) ).
thf(f2950,plain,
( ( $true = sF207 )
| ( $false = sF206 ) ),
inference(imp_proxy_clausification,[],[f2947]) ).
thf(f2954,plain,
( ( $true = sF208 )
| ( ( setunionI
=> sF207 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1332]) ).
thf(f2956,plain,
( ( sF207 = $false )
| ( $true = sF208 ) ),
inference(imp_proxy_clausification,[],[f2954]) ).
thf(f2961,plain,
( ( $true = sF209 )
| ( ( powersetE
=> sF208 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1334]) ).
thf(f2963,plain,
( ( $false = sF208 )
| ( $true = sF209 ) ),
inference(imp_proxy_clausification,[],[f2961]) ).
thf(f2968,plain,
( ( sF88 = $false )
| ( ( ex1I2
=> $true )
= sF90 ) ),
inference(superposition,[],[f1162,f2168]) ).
thf(f2969,plain,
( ( $true = sF90 )
| ( sF88 = $false ) ),
inference(boolean_simplification,[],[f2968]) ).
thf(f2971,plain,
( ( ( emptyinPowerset
=> sF210 )
= $false )
| ( $true = sF211 ) ),
inference(iff_proxy_clausification,[],[f1338]) ).
thf(f2975,plain,
( ( sF210 = $false )
| ( $true = sF211 ) ),
inference(imp_proxy_clausification,[],[f2971]) ).
thf(f2978,plain,
( ( sF212 = $true )
| ( ( powersetI
=> sF211 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1340]) ).
thf(f2981,plain,
( ( sF212 = $true )
| ( $false = sF211 ) ),
inference(imp_proxy_clausification,[],[f2978]) ).
thf(f2985,plain,
( ( $true = sF213 )
| ( ( setoftrueEq
=> sF212 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1342]) ).
thf(f2987,plain,
( ( $true = sF213 )
| ( sF212 = $false ) ),
inference(imp_proxy_clausification,[],[f2985]) ).
thf(f2992,plain,
( ( sF94
= ( setunionsingleton
=> $true ) )
| ( sF92 = $false ) ),
inference(superposition,[],[f1169,f2200]) ).
thf(f2993,plain,
( ( sF92 = $false )
| ( sF94 = $true ) ),
inference(boolean_simplification,[],[f2992]) ).
thf(f2995,plain,
( ( $true = sF214 )
| ( ( setadjoinOr
=> sF213 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1344]) ).
thf(f2999,plain,
( ( $true = sF214 )
| ( sF213 = $false ) ),
inference(imp_proxy_clausification,[],[f2995]) ).
thf(f3003,plain,
( ( sF215
= ( setadjoinE
=> $true ) )
| ( sF214 = $false ) ),
inference(fool_paramodulation,[],[f1345]) ).
thf(f3004,plain,
( ( sF215 = $true )
| ( sF214 = $false ) ),
inference(boolean_simplification,[],[f3003]) ).
thf(f3009,plain,
( ( $true = sF216 )
| ( ( setadjoinIR
=> sF215 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1347]) ).
thf(f3011,plain,
( ( sF215 = $false )
| ( $true = sF216 ) ),
inference(imp_proxy_clausification,[],[f3009]) ).
thf(f3018,plain,
( ( $true = sF217 )
| ( ( emptyinunitempty
=> sF216 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1349]) ).
thf(f3020,plain,
( ( $false = sF216 )
| ( $true = sF217 ) ),
inference(imp_proxy_clausification,[],[f3018]) ).
thf(f3026,plain,
( ( ( setadjoinIL
=> $true )
= sF218 )
| ( sF217 = $false ) ),
inference(fool_paramodulation,[],[f1350]) ).
thf(f3027,plain,
( ( sF218 = $true )
| ( sF217 = $false ) ),
inference(boolean_simplification,[],[f3026]) ).
thf(f3032,plain,
( ( $true = sF219 )
| ( ( nonemptyI1
=> sF218 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1352]) ).
thf(f3036,plain,
( ( $true = sF219 )
| ( sF218 = $false ) ),
inference(imp_proxy_clausification,[],[f3032]) ).
thf(f3042,plain,
( ( ( nonemptyI
=> $true )
= sF220 )
| ( sF219 = $false ) ),
inference(fool_paramodulation,[],[f1353]) ).
thf(f3043,plain,
( ( sF219 = $false )
| ( $true = sF220 ) ),
inference(boolean_simplification,[],[f3042]) ).
thf(f3056,plain,
( ( $false = sF224 )
| ( sF225
= ( setext
=> $true ) ) ),
inference(fool_paramodulation,[],[f1360]) ).
thf(f3057,plain,
( ( sF225 = $true )
| ( $false = sF224 ) ),
inference(boolean_simplification,[],[f3056]) ).
thf(f3082,plain,
( ( ( prop2setE
=> sF229 )
= $false )
| ( $true = sF230 ) ),
inference(iff_proxy_clausification,[],[f1368]) ).
thf(f3084,plain,
( ( sF229 = $false )
| ( $true = sF230 ) ),
inference(imp_proxy_clausification,[],[f3082]) ).
thf(f3089,plain,
( ( ( ubforcartprodlem3
=> $true )
= sF101 )
| ( $false = sF99 ) ),
inference(superposition,[],[f1179,f2259]) ).
thf(f3090,plain,
( ( $true = sF101 )
| ( $false = sF99 ) ),
inference(boolean_simplification,[],[f3089]) ).
thf(f3092,plain,
( ( $true = sF234 )
| ( ( dsetconstrI
=> sF233 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1375]) ).
thf(f3094,plain,
( ( $true = sF234 )
| ( $false = sF233 ) ),
inference(imp_proxy_clausification,[],[f3092]) ).
thf(f3099,plain,
( ( ( descrp
=> sF234 )
= $false )
| ( sF235 = $true ) ),
inference(iff_proxy_clausification,[],[f1377]) ).
thf(f3101,plain,
( ( $false = sF234 )
| ( sF235 = $true ) ),
inference(imp_proxy_clausification,[],[f3099]) ).
thf(f3107,plain,
( ( sF235 = $false )
| ( ( wellorderingAx
=> $true )
= sF236 ) ),
inference(fool_paramodulation,[],[f1378]) ).
thf(f3108,plain,
( ( sF235 = $false )
| ( sF236 = $true ) ),
inference(boolean_simplification,[],[f3107]) ).
thf(f3116,plain,
( ( sF237
= ( foundationAx
=> $true ) )
| ( sF236 = $false ) ),
inference(fool_paramodulation,[],[f1379]) ).
thf(f3117,plain,
( ( sF236 = $false )
| ( sF237 = $true ) ),
inference(boolean_simplification,[],[f3116]) ).
thf(f3130,plain,
( ( sF240
= ( omegaSAx
=> $true ) )
| ( sF239 = $false ) ),
inference(fool_paramodulation,[],[f1383]) ).
thf(f3131,plain,
( ( $true = sF240 )
| ( sF239 = $false ) ),
inference(boolean_simplification,[],[f3130]) ).
thf(f3147,plain,
( ( sF243 = $false )
| ( ( setadjoinAx
=> $true )
= sF244 ) ),
inference(fool_paramodulation,[],[f1387]) ).
thf(f3148,plain,
( ( $true = sF244 )
| ( sF243 = $false ) ),
inference(boolean_simplification,[],[f3147]) ).
thf(f3152,plain,
( ( sF246 = $true )
| ( $false
= ( setextAx
=> sF245 ) ) ),
inference(iff_proxy_clausification,[],[f1389]) ).
thf(f3154,plain,
( ( sF246
= ( setextAx
=> $true ) )
| ( sF245 = $false ) ),
inference(fool_paramodulation,[],[f1389]) ).
thf(f3155,plain,
( ( sF246 = $true )
| ( sF245 = $false ) ),
inference(boolean_simplification,[],[f3154]) ).
thf(f3157,plain,
( ( sF246 = $true )
| ( setextAx = $true ) ),
inference(imp_proxy_clausification,[],[f3152]) ).
thf(f3160,plain,
( ( sF108
= ( singletoninpowerset
=> $true ) )
| ( sF106 = $false ) ),
inference(superposition,[],[f1189,f2321]) ).
thf(f3161,plain,
( ( sF108 = $true )
| ( sF106 = $false ) ),
inference(boolean_simplification,[],[f3160]) ).
thf(f3164,plain,
( ( sF62 = $false )
| ( ( dpsetconstrSub
=> $true )
= sF63 ) ),
inference(fool_paramodulation,[],[f1504]) ).
thf(f3165,plain,
( ( sF62 = $false )
| ( $true = sF63 ) ),
inference(boolean_simplification,[],[f3164]) ).
thf(f3170,plain,
( ( $true = sF224 )
| ( $false
= ( noeltsimpempty
=> sF223 ) ) ),
inference(iff_proxy_clausification,[],[f1506]) ).
thf(f3179,plain,
( ( sF223 = $false )
| ( $true = sF224 ) ),
inference(imp_proxy_clausification,[],[f3170]) ).
thf(f3180,plain,
( ( noeltsimpempty = $true )
| ( $true = sF224 ) ),
inference(imp_proxy_clausification,[],[f3170]) ).
thf(f3181,plain,
( ( ( nonemptyImpWitness
=> sF220 )
= $false )
| ( $true = sF221 ) ),
inference(iff_proxy_clausification,[],[f1508]) ).
thf(f3183,plain,
( ( sF221
= ( nonemptyImpWitness
=> $true ) )
| ( sF220 = $false ) ),
inference(fool_paramodulation,[],[f1508]) ).
thf(f3188,plain,
( ( $true = sF221 )
| ( sF220 = $false ) ),
inference(boolean_simplification,[],[f3183]) ).
thf(f3191,plain,
( ( nonemptyImpWitness = $true )
| ( $true = sF221 ) ),
inference(imp_proxy_clausification,[],[f3181]) ).
thf(f3196,plain,
( ( $true = sF179 )
| ( ( setadjoin__Cong
=> sF177 )
= $false ) ),
inference(iff_proxy_clausification,[],[f1509]) ).
thf(f3200,plain,
( ( $true = sF179 )
| ( sF177 = $false ) ),
inference(imp_proxy_clausification,[],[f3196]) ).
thf(f3204,plain,
( ( ( emptyinPowerset
=> $true )
= sF210 )
| ( sF209 = $false ) ),
inference(fool_paramodulation,[],[f1511]) ).
thf(f3205,plain,
( ( sF209 = $false )
| ( sF210 = $true ) ),
inference(boolean_simplification,[],[f3204]) ).
thf(f3210,plain,
( ( ( secondinupair
=> sF196 )
= $false )
| ( $true = sF197 ) ),
inference(iff_proxy_clausification,[],[f1515]) ).
thf(f3220,plain,
( ( $true = sF197 )
| ( $false = sF196 ) ),
inference(imp_proxy_clausification,[],[f3210]) ).
thf(f3221,plain,
( ( $true = sF197 )
| ( secondinupair = $true ) ),
inference(imp_proxy_clausification,[],[f3210]) ).
thf(f3226,plain,
( ( ( setukpairIL
=> $true )
= sF113 )
| ( sF111 = $false ) ),
inference(superposition,[],[f1198,f2364]) ).
thf(f3227,plain,
( ( sF111 = $false )
| ( $true = sF113 ) ),
inference(boolean_simplification,[],[f3226]) ).
thf(f3228,plain,
( ( ( exuEu
=> sF180 )
= $false )
| ( sF181 = $true ) ),
inference(iff_proxy_clausification,[],[f1516]) ).
thf(f3230,plain,
( ( sF180 = $false )
| ( sF181
= ( exuEu
=> $true ) ) ),
inference(fool_paramodulation,[],[f1516]) ).
thf(f3233,plain,
( ( sF181 = $true )
| ( sF180 = $false ) ),
inference(boolean_simplification,[],[f3230]) ).
thf(f3237,plain,
( ( sF181 = $true )
| ( exuEu = $true ) ),
inference(imp_proxy_clausification,[],[f3228]) ).
thf(f3259,plain,
( ( sF114 = $false )
| ( ( symdiffIneg1
=> $true )
= sF116 ) ),
inference(superposition,[],[f1203,f2397]) ).
thf(f3260,plain,
( ( $true = sF116 )
| ( sF114 = $false ) ),
inference(boolean_simplification,[],[f3259]) ).
thf(f3262,plain,
( ( ( upairset2E
=> sF198 )
= $false )
| ( sF199 = $true ) ),
inference(iff_proxy_clausification,[],[f1521]) ).
thf(f3268,plain,
( ( $false = sF198 )
| ( sF199 = $true ) ),
inference(imp_proxy_clausification,[],[f3262]) ).
thf(f3269,plain,
( ( sF199 = $true )
| ( upairset2E = $true ) ),
inference(imp_proxy_clausification,[],[f3262]) ).
thf(f3280,plain,
( ( ( emptysetimpfalse
=> sF244 )
= $false )
| ( sF245 = $true ) ),
inference(iff_proxy_clausification,[],[f1524]) ).
thf(f3282,plain,
( ( sF245
= ( $false
=> sF244 ) )
| ( emptysetAx = $true ) ),
inference(superposition,[],[f1524,f1566]) ).
thf(f3284,plain,
( ( sF245 = $true )
| ( emptysetAx = $true ) ),
inference(boolean_simplification,[],[f3282]) ).
thf(f3286,plain,
( ( emptysetimpfalse = $true )
| ( sF245 = $true ) ),
inference(forward_demodulation,[],[f3284,f1519]) ).
thf(f3290,plain,
( ( sF244 = $false )
| ( sF245 = $true ) ),
inference(imp_proxy_clausification,[],[f3280]) ).
thf(f3293,plain,
sF246 = $false,
inference(not_proxy_clausification,[],[f1478]) ).
thf(f3297,plain,
( ( $true = $false )
| ( setextAx = $true ) ),
inference(backward_demodulation,[],[f3157,f3293]) ).
thf(f3298,plain,
( ( sF245 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3155,f3293]) ).
thf(f3302,plain,
sF245 = $false,
inference(trivial_inequality_removal,[],[f3298]) ).
thf(f3303,plain,
setextAx = $true,
inference(trivial_inequality_removal,[],[f3297]) ).
thf(f3305,plain,
( ( $true = $false )
| ( emptysetimpfalse = $true ) ),
inference(backward_demodulation,[],[f3286,f3302]) ).
thf(f3307,plain,
( ( $true = $false )
| ( sF244 = $false ) ),
inference(backward_demodulation,[],[f3290,f3302]) ).
thf(f3308,plain,
sF244 = $false,
inference(trivial_inequality_removal,[],[f3307]) ).
thf(f3309,plain,
emptysetimpfalse = $true,
inference(trivial_inequality_removal,[],[f3305]) ).
thf(f3312,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(backward_demodulation,[],[f940,f3303]) ).
thf(f3314,plain,
( ( sF243 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3148,f3308]) ).
thf(f3318,plain,
sF243 = $false,
inference(trivial_inequality_removal,[],[f3314]) ).
thf(f3322,plain,
( ( $true
=> sF227 )
= sF228 ),
inference(backward_demodulation,[],[f1364,f3309]) ).
thf(f3325,plain,
( ( $true
=> ( exuE3e
=> sF225 ) )
= sF227 ),
inference(backward_demodulation,[],[f1518,f3309]) ).
thf(f3329,plain,
( sF227
= ( exuE3e
=> sF225 ) ),
inference(boolean_simplification,[],[f3325]) ).
thf(f3332,plain,
sF227 = sF228,
inference(boolean_simplification,[],[f3322]) ).
thf(f3335,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
= ( in @ Y2 @ Y0 ) ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f3312]) ).
thf(f3336,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
= ( in @ Y1 @ X1 ) ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f3335]) ).
thf(f3339,plain,
( $false
= ( powersetAx
=> ( setunionAx
=> sF241 ) ) ),
inference(backward_demodulation,[],[f1479,f3318]) ).
thf(f3344,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !! @ $o
@ ^ [Y1: $o] : Y1 ) ) )
=> sF227 )
= sF229 ),
inference(backward_demodulation,[],[f1461,f3332]) ).
thf(f3350,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
= ( in @ Y1 @ X1 ) ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f3336]) ).
thf(f3351,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f3350]) ).
thf(f3352,plain,
( $false
= ( setunionAx
=> sF241 ) ),
inference(imp_proxy_clausification,[],[f3339]) ).
thf(f3353,plain,
powersetAx = $true,
inference(imp_proxy_clausification,[],[f3339]) ).
thf(f3356,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f3351]) ).
thf(f3357,plain,
sF241 = $false,
inference(imp_proxy_clausification,[],[f3352]) ).
thf(f3359,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
= ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(backward_demodulation,[],[f978,f3353]) ).
thf(f3362,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) ) )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f3356]) ).
thf(f3368,plain,
( ( ( in @ emptyset @ omega )
=> sF240 )
= $false ),
inference(backward_demodulation,[],[f1501,f3357]) ).
thf(f3369,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
= ( in @ Y0 @ ( powerset @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f3359]) ).
thf(f3370,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
= ( in @ X1 @ ( powerset @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f3369]) ).
thf(f3374,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
= ( in @ Y0 @ X1 ) )
@ ( sK248 @ X1 @ X2 ) )
= $false )
| ( X1 = X2 ) ),
inference(sigma_proxy_clausification,[],[f3362]) ).
thf(f3375,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK248 @ X1 @ X2 ) @ X2 )
= ( in @ ( sK248 @ X1 @ X2 ) @ X1 ) ) )
| ( X1 = X2 ) ),
inference(beta-eta_normalization,[],[f3374]) ).
thf(f3376,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK248 @ X1 @ X2 ) @ X2 )
!= ( in @ ( sK248 @ X1 @ X2 ) @ X1 ) )
| ( X1 = X2 ) ),
inference(iff_proxy_clausification,[],[f3375]) ).
thf(f3382,plain,
sF240 = $false,
inference(imp_proxy_clausification,[],[f3368]) ).
thf(f3384,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
= ( in @ X1 @ ( powerset @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f3370]) ).
thf(f3385,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f3384]) ).
thf(f3386,plain,
! [X2: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X2 ) )
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) ),
inference(iff_proxy_clausification,[],[f3385]) ).
thf(f3391,plain,
( ( sF239 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3131,f3382]) ).
thf(f3393,plain,
sF239 = $false,
inference(trivial_inequality_removal,[],[f3391]) ).
thf(f3399,plain,
( $false
= ( omegaIndAx
=> ( replAx
=> sF237 ) ) ),
inference(backward_demodulation,[],[f1481,f3393]) ).
thf(f3404,plain,
( ( replAx
=> sF237 )
= $false ),
inference(imp_proxy_clausification,[],[f3399]) ).
thf(f3410,plain,
sF237 = $false,
inference(imp_proxy_clausification,[],[f3404]) ).
thf(f3416,plain,
( ( sF236 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3117,f3410]) ).
thf(f3421,plain,
sF236 = $false,
inference(trivial_inequality_removal,[],[f3416]) ).
thf(f3432,plain,
( ( $true = $false )
| ( sF235 = $false ) ),
inference(backward_demodulation,[],[f3108,f3421]) ).
thf(f3434,plain,
sF235 = $false,
inference(trivial_inequality_removal,[],[f3432]) ).
thf(f3446,plain,
( ( $true = $false )
| ( $false = sF234 ) ),
inference(backward_demodulation,[],[f3101,f3434]) ).
thf(f3448,plain,
$false = sF234,
inference(trivial_inequality_removal,[],[f3446]) ).
thf(f3456,plain,
( ( $true = $false )
| ( $false = sF233 ) ),
inference(backward_demodulation,[],[f3094,f3448]) ).
thf(f3459,plain,
$false = sF233,
inference(trivial_inequality_removal,[],[f3456]) ).
thf(f3473,plain,
( ( dsetconstrEL
=> ( dsetconstrER
=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) ) )
= $false ),
inference(backward_demodulation,[],[f1523,f3459]) ).
thf(f3490,plain,
( ( dsetconstrER
=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) )
= $false ),
inference(imp_proxy_clausification,[],[f3473]) ).
thf(f3504,plain,
( $false
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF230 ) ),
inference(imp_proxy_clausification,[],[f3490]) ).
thf(f3523,plain,
sF230 = $false,
inference(imp_proxy_clausification,[],[f3504]) ).
thf(f3543,plain,
( ( $true = $false )
| ( sF229 = $false ) ),
inference(backward_demodulation,[],[f3084,f3523]) ).
thf(f3548,plain,
sF229 = $false,
inference(trivial_inequality_removal,[],[f3543]) ).
thf(f3568,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( !! @ $o
@ ^ [Y1: $o] : Y1 ) ) )
=> sF227 )
= $false ),
inference(backward_demodulation,[],[f3344,f3548]) ).
thf(f3586,plain,
sF227 = $false,
inference(imp_proxy_clausification,[],[f3568]) ).
thf(f3598,plain,
( $false
= ( exuE3e
=> sF225 ) ),
inference(backward_demodulation,[],[f3329,f3586]) ).
thf(f3611,plain,
sF225 = $false,
inference(imp_proxy_clausification,[],[f3598]) ).
thf(f3625,plain,
( ( $false = sF224 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3057,f3611]) ).
thf(f3630,plain,
$false = sF224,
inference(trivial_inequality_removal,[],[f3625]) ).
thf(f3646,plain,
( ( sF223 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3179,f3630]) ).
thf(f3647,plain,
( ( $true = $false )
| ( noeltsimpempty = $true ) ),
inference(backward_demodulation,[],[f3180,f3630]) ).
thf(f3649,plain,
noeltsimpempty = $true,
inference(trivial_inequality_removal,[],[f3647]) ).
thf(f3650,plain,
sF223 = $false,
inference(trivial_inequality_removal,[],[f3646]) ).
thf(f3666,plain,
( sF223
= ( $true
=> ( setbeta
=> sF221 ) ) ),
inference(backward_demodulation,[],[f1495,f3649]) ).
thf(f3669,plain,
( sF223
= ( setbeta
=> sF221 ) ),
inference(boolean_simplification,[],[f3666]) ).
thf(f3682,plain,
( ( setbeta
=> sF221 )
= $false ),
inference(forward_demodulation,[],[f3669,f3650]) ).
thf(f3692,plain,
sF221 = $false,
inference(imp_proxy_clausification,[],[f3682]) ).
thf(f3714,plain,
( ( $true = $false )
| ( sF220 = $false ) ),
inference(backward_demodulation,[],[f3188,f3692]) ).
thf(f3715,plain,
( ( nonemptyImpWitness = $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3191,f3692]) ).
thf(f3716,plain,
sF220 = $false,
inference(trivial_inequality_removal,[],[f3714]) ).
thf(f3717,plain,
nonemptyImpWitness = $true,
inference(trivial_inequality_removal,[],[f3715]) ).
thf(f3736,plain,
( ( sF219 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3043,f3716]) ).
thf(f3739,plain,
sF219 = $false,
inference(trivial_inequality_removal,[],[f3736]) ).
thf(f3740,plain,
( sF204
= ( $true
=> sF203 ) ),
inference(backward_demodulation,[],[f1325,f3717]) ).
thf(f3747,plain,
sF204 = sF203,
inference(boolean_simplification,[],[f3740]) ).
thf(f3765,plain,
( ( $true = $false )
| ( sF218 = $false ) ),
inference(backward_demodulation,[],[f3036,f3739]) ).
thf(f3767,plain,
sF218 = $false,
inference(trivial_inequality_removal,[],[f3765]) ).
thf(f3769,plain,
( sF204
= ( uniqinunit
=> sF202 ) ),
inference(backward_demodulation,[],[f1324,f3747]) ).
thf(f3787,plain,
( ( $true = $false )
| ( sF217 = $false ) ),
inference(backward_demodulation,[],[f3027,f3767]) ).
thf(f3790,plain,
sF217 = $false,
inference(trivial_inequality_removal,[],[f3787]) ).
thf(f3810,plain,
( ( $false = sF216 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3020,f3790]) ).
thf(f3812,plain,
$false = sF216,
inference(trivial_inequality_removal,[],[f3810]) ).
thf(f3829,plain,
( ( $true = $false )
| ( sF215 = $false ) ),
inference(backward_demodulation,[],[f3011,f3812]) ).
thf(f3834,plain,
sF215 = $false,
inference(trivial_inequality_removal,[],[f3829]) ).
thf(f3844,plain,
( ( sF214 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3004,f3834]) ).
thf(f3846,plain,
sF214 = $false,
inference(trivial_inequality_removal,[],[f3844]) ).
thf(f3856,plain,
( ( sF213 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2999,f3846]) ).
thf(f3859,plain,
sF213 = $false,
inference(trivial_inequality_removal,[],[f3856]) ).
thf(f3868,plain,
( ( sF212 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2987,f3859]) ).
thf(f3870,plain,
sF212 = $false,
inference(trivial_inequality_removal,[],[f3868]) ).
thf(f3878,plain,
( ( $true = $false )
| ( $false = sF211 ) ),
inference(backward_demodulation,[],[f2981,f3870]) ).
thf(f3881,plain,
$false = sF211,
inference(trivial_inequality_removal,[],[f3878]) ).
thf(f3894,plain,
( ( sF210 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2975,f3881]) ).
thf(f3896,plain,
sF210 = $false,
inference(trivial_inequality_removal,[],[f3894]) ).
thf(f3910,plain,
( ( sF209 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3205,f3896]) ).
thf(f3914,plain,
sF209 = $false,
inference(trivial_inequality_removal,[],[f3910]) ).
thf(f3930,plain,
( ( $false = sF208 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2963,f3914]) ).
thf(f3932,plain,
$false = sF208,
inference(trivial_inequality_removal,[],[f3930]) ).
thf(f3944,plain,
( ( sF207 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2956,f3932]) ).
thf(f3947,plain,
sF207 = $false,
inference(trivial_inequality_removal,[],[f3944]) ).
thf(f3953,plain,
( ( $true = $false )
| ( $false = sF206 ) ),
inference(backward_demodulation,[],[f2950,f3947]) ).
thf(f3956,plain,
$false = sF206,
inference(trivial_inequality_removal,[],[f3953]) ).
thf(f3970,plain,
( ( sF205 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2940,f3956]) ).
thf(f3972,plain,
sF205 = $false,
inference(trivial_inequality_removal,[],[f3970]) ).
thf(f3983,plain,
( ( $true = $false )
| ( sF204 = $false ) ),
inference(backward_demodulation,[],[f2932,f3972]) ).
thf(f3985,plain,
sF204 = $false,
inference(trivial_inequality_removal,[],[f3983]) ).
thf(f4004,plain,
( $false
= ( uniqinunit
=> sF202 ) ),
inference(backward_demodulation,[],[f3769,f3985]) ).
thf(f4020,plain,
sF202 = $false,
inference(imp_proxy_clausification,[],[f4004]) ).
thf(f4034,plain,
( ( sF201 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2905,f4020]) ).
thf(f4037,plain,
sF201 = $false,
inference(trivial_inequality_removal,[],[f4034]) ).
thf(f4049,plain,
( ( $true = $false )
| ( sF200 = $false ) ),
inference(backward_demodulation,[],[f2898,f4037]) ).
thf(f4052,plain,
sF200 = $false,
inference(trivial_inequality_removal,[],[f4049]) ).
thf(f4069,plain,
( ( $true = $false )
| ( sF199 = $false ) ),
inference(backward_demodulation,[],[f2888,f4052]) ).
thf(f4071,plain,
sF199 = $false,
inference(trivial_inequality_removal,[],[f4069]) ).
thf(f4089,plain,
( ( $true = $false )
| ( $false = sF198 ) ),
inference(backward_demodulation,[],[f3268,f4071]) ).
thf(f4090,plain,
( ( upairset2E = $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3269,f4071]) ).
thf(f4091,plain,
upairset2E = $true,
inference(trivial_inequality_removal,[],[f4090]) ).
thf(f4092,plain,
$false = sF198,
inference(trivial_inequality_removal,[],[f4089]) ).
thf(f4110,plain,
( sF106
= ( $true
=> sF105 ) ),
inference(backward_demodulation,[],[f1187,f4091]) ).
thf(f4115,plain,
sF106 = sF105,
inference(boolean_simplification,[],[f4110]) ).
thf(f4118,plain,
( ( sF197 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2882,f4092]) ).
thf(f4120,plain,
sF197 = $false,
inference(trivial_inequality_removal,[],[f4118]) ).
thf(f4130,plain,
( ( sF105 = $false )
| ( sF108 = $true ) ),
inference(backward_demodulation,[],[f3161,f4115]) ).
thf(f4138,plain,
( ( $false = sF196 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3220,f4120]) ).
thf(f4139,plain,
( ( $true = $false )
| ( secondinupair = $true ) ),
inference(backward_demodulation,[],[f3221,f4120]) ).
thf(f4143,plain,
secondinupair = $true,
inference(trivial_inequality_removal,[],[f4139]) ).
thf(f4145,plain,
$false = sF196,
inference(trivial_inequality_removal,[],[f4138]) ).
thf(f4161,plain,
( ( binunionIL
=> ( $true
=> sF146 ) )
= sF148 ),
inference(backward_demodulation,[],[f1525,f4143]) ).
thf(f4174,plain,
( ( binunionIL
=> sF146 )
= sF148 ),
inference(boolean_simplification,[],[f4161]) ).
thf(f4178,plain,
( ( sF195 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2874,f4145]) ).
thf(f4180,plain,
sF195 = $false,
inference(trivial_inequality_removal,[],[f4178]) ).
thf(f4195,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( Y0 @ Y1 ) ) ) )
=> sF194 )
= $false ),
inference(backward_demodulation,[],[f1491,f4180]) ).
thf(f4206,plain,
sF194 = $false,
inference(imp_proxy_clausification,[],[f4195]) ).
thf(f4211,plain,
( ( sF193 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2866,f4206]) ).
thf(f4214,plain,
sF193 = $false,
inference(trivial_inequality_removal,[],[f4211]) ).
thf(f4222,plain,
( ( $true = $false )
| ( $false = sF192 ) ),
inference(backward_demodulation,[],[f2857,f4214]) ).
thf(f4225,plain,
$false = sF192,
inference(trivial_inequality_removal,[],[f4222]) ).
thf(f4239,plain,
( ( sF191 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2851,f4225]) ).
thf(f4240,plain,
( ( quantDeMorgan3 = $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2852,f4225]) ).
thf(f4241,plain,
quantDeMorgan3 = $true,
inference(trivial_inequality_removal,[],[f4240]) ).
thf(f4242,plain,
sF191 = $false,
inference(trivial_inequality_removal,[],[f4239]) ).
thf(f4254,plain,
( ( $true
=> sF187 )
= sF188 ),
inference(backward_demodulation,[],[f1520,f4241]) ).
thf(f4260,plain,
sF188 = sF187,
inference(boolean_simplification,[],[f4254]) ).
thf(f4263,plain,
( ( $true = $false )
| ( sF190 = $false ) ),
inference(backward_demodulation,[],[f2841,f4242]) ).
thf(f4266,plain,
sF190 = $false,
inference(trivial_inequality_removal,[],[f4263]) ).
thf(f4279,plain,
( ( sF189 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2834,f4266]) ).
thf(f4281,plain,
sF189 = $false,
inference(trivial_inequality_removal,[],[f4279]) ).
thf(f4292,plain,
( ( $true = $false )
| ( sF188 = $false ) ),
inference(backward_demodulation,[],[f2827,f4281]) ).
thf(f4296,plain,
sF188 = $false,
inference(trivial_inequality_removal,[],[f4292]) ).
thf(f4312,plain,
$false = sF187,
inference(backward_demodulation,[],[f4260,f4296]) ).
thf(f4328,plain,
( ( sF186 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2821,f4312]) ).
thf(f4331,plain,
sF186 = $false,
inference(trivial_inequality_removal,[],[f4328]) ).
thf(f4343,plain,
( $false
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : $true )
=> sF185 ) ),
inference(backward_demodulation,[],[f1473,f4331]) ).
thf(f4348,plain,
sF185 = $false,
inference(imp_proxy_clausification,[],[f4343]) ).
thf(f4355,plain,
( ( $true = $false )
| ( sF184 = $false ) ),
inference(backward_demodulation,[],[f2812,f4348]) ).
thf(f4357,plain,
sF184 = $false,
inference(trivial_inequality_removal,[],[f4355]) ).
thf(f4361,plain,
( ( sF183 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2805,f4357]) ).
thf(f4365,plain,
sF183 = $false,
inference(trivial_inequality_removal,[],[f4361]) ).
thf(f4372,plain,
( ( inCongP
=> ( in__Cong
=> sF181 ) )
= $false ),
inference(backward_demodulation,[],[f1460,f4365]) ).
thf(f4382,plain,
( ( in__Cong
=> sF181 )
= $false ),
inference(imp_proxy_clausification,[],[f4372]) ).
thf(f4390,plain,
sF181 = $false,
inference(imp_proxy_clausification,[],[f4382]) ).
thf(f4399,plain,
( ( sF180 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3233,f4390]) ).
thf(f4401,plain,
( ( $true = $false )
| ( exuEu = $true ) ),
inference(backward_demodulation,[],[f3237,f4390]) ).
thf(f4403,plain,
sF180 = $false,
inference(trivial_inequality_removal,[],[f4399]) ).
thf(f4407,plain,
exuEu = $true,
inference(trivial_inequality_removal,[],[f4401]) ).
thf(f4415,plain,
( ( $true = $false )
| ( sF179 = $false ) ),
inference(backward_demodulation,[],[f2788,f4403]) ).
thf(f4419,plain,
sF179 = $false,
inference(trivial_inequality_removal,[],[f4415]) ).
thf(f4428,plain,
( sF175
= ( $true
=> sF173 ) ),
inference(backward_demodulation,[],[f1517,f4407]) ).
thf(f4431,plain,
sF173 = sF175,
inference(boolean_simplification,[],[f4428]) ).
thf(f4444,plain,
( ( $true = $false )
| ( sF177 = $false ) ),
inference(backward_demodulation,[],[f3200,f4419]) ).
thf(f4448,plain,
sF177 = $false,
inference(trivial_inequality_removal,[],[f4444]) ).
thf(f4459,plain,
( ( $true = sF175 )
| ( $false = sF172 ) ),
inference(backward_demodulation,[],[f2762,f4431]) ).
thf(f4479,plain,
( ( sF176 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2779,f4448]) ).
thf(f4482,plain,
sF176 = $false,
inference(trivial_inequality_removal,[],[f4479]) ).
thf(f4503,plain,
( ( sF175 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2771,f4482]) ).
thf(f4507,plain,
sF175 = $false,
inference(trivial_inequality_removal,[],[f4503]) ).
thf(f4533,plain,
( ( $true = $false )
| ( $false = sF172 ) ),
inference(backward_demodulation,[],[f4459,f4507]) ).
thf(f4541,plain,
$false = sF172,
inference(trivial_inequality_removal,[],[f4533]) ).
thf(f4566,plain,
( $false
= ( dsetconstr__Cong
=> ( subsetI1
=> sF170 ) ) ),
inference(backward_demodulation,[],[f1497,f4541]) ).
thf(f4591,plain,
( $false
= ( subsetI1
=> sF170 ) ),
inference(imp_proxy_clausification,[],[f4566]) ).
thf(f4610,plain,
$false = sF170,
inference(imp_proxy_clausification,[],[f4591]) ).
thf(f4632,plain,
( ( sF169 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2746,f4610]) ).
thf(f4633,plain,
( ( eqimpsubset2 = $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2747,f4610]) ).
thf(f4634,plain,
sF169 = $false,
inference(trivial_inequality_removal,[],[f4632]) ).
thf(f4635,plain,
eqimpsubset2 = $true,
inference(trivial_inequality_removal,[],[f4633]) ).
thf(f4650,plain,
( ( $true = $false )
| ( sF168 = $false ) ),
inference(backward_demodulation,[],[f2740,f4634]) ).
thf(f4653,plain,
sF168 = $false,
inference(trivial_inequality_removal,[],[f4650]) ).
thf(f4656,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(backward_demodulation,[],[f879,f4635]) ).
thf(f4667,plain,
( ( sF167 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2731,f4653]) ).
thf(f4669,plain,
sF167 = $false,
inference(trivial_inequality_removal,[],[f4667]) ).
thf(f4674,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( subset @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f4656]) ).
thf(f4675,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( Y0 = X1 )
=> ( subset @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f4674]) ).
thf(f4683,plain,
( $false
= ( emptysetsubset
=> ( subsetE
=> sF165 ) ) ),
inference(backward_demodulation,[],[f1486,f4669]) ).
thf(f4691,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( Y0 = X1 )
=> ( subset @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f4675]) ).
thf(f4692,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( X2 = X1 )
=> ( subset @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f4691]) ).
thf(f4700,plain,
( ( subsetE
=> sF165 )
= $false ),
inference(imp_proxy_clausification,[],[f4683]) ).
thf(f4708,plain,
! [X2: $i,X1: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
| ( ( X2 = X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f4692]) ).
thf(f4717,plain,
sF165 = $false,
inference(imp_proxy_clausification,[],[f4700]) ).
thf(f4722,plain,
! [X2: $i,X1: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f4708]) ).
thf(f4733,plain,
( ( sF164 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2712,f4717]) ).
thf(f4735,plain,
sF164 = $false,
inference(trivial_inequality_removal,[],[f4733]) ).
thf(f4749,plain,
( ( $true = $false )
| ( sF163 = $false ) ),
inference(backward_demodulation,[],[f2705,f4735]) ).
thf(f4752,plain,
sF163 = $false,
inference(trivial_inequality_removal,[],[f4749]) ).
thf(f4766,plain,
( ( sF162 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2695,f4752]) ).
thf(f4768,plain,
sF162 = $false,
inference(trivial_inequality_removal,[],[f4766]) ).
thf(f4786,plain,
( ( sF161 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2688,f4768]) ).
thf(f4790,plain,
sF161 = $false,
inference(trivial_inequality_removal,[],[f4786]) ).
thf(f4809,plain,
( ( $true = $false )
| ( sF160 = $false ) ),
inference(backward_demodulation,[],[f2681,f4790]) ).
thf(f4811,plain,
sF160 = $false,
inference(trivial_inequality_removal,[],[f4809]) ).
thf(f4827,plain,
( ( subsetTrans
=> ( setadjoinSub
=> sF158 ) )
= $false ),
inference(backward_demodulation,[],[f1487,f4811]) ).
thf(f4846,plain,
( ( setadjoinSub
=> sF158 )
= $false ),
inference(imp_proxy_clausification,[],[f4827]) ).
thf(f4864,plain,
sF158 = $false,
inference(imp_proxy_clausification,[],[f4846]) ).
thf(f4879,plain,
( ( sF157 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2665,f4864]) ).
thf(f4884,plain,
sF157 = $false,
inference(trivial_inequality_removal,[],[f4879]) ).
thf(f4904,plain,
( ( sF156 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2658,f4884]) ).
thf(f4906,plain,
sF156 = $false,
inference(trivial_inequality_removal,[],[f4904]) ).
thf(f4919,plain,
( ( sF155 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2648,f4906]) ).
thf(f4921,plain,
sF155 = $false,
inference(trivial_inequality_removal,[],[f4919]) ).
thf(f4933,plain,
( ( $true = $false )
| ( sF154 = $false ) ),
inference(backward_demodulation,[],[f2643,f4921]) ).
thf(f4935,plain,
sF154 = $false,
inference(trivial_inequality_removal,[],[f4933]) ).
thf(f4946,plain,
( ( $true = $false )
| ( sF153 = $false ) ),
inference(backward_demodulation,[],[f2635,f4935]) ).
thf(f4949,plain,
sF153 = $false,
inference(trivial_inequality_removal,[],[f4946]) ).
thf(f4967,plain,
( ( sF152 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2624,f4949]) ).
thf(f4970,plain,
sF152 = $false,
inference(trivial_inequality_removal,[],[f4967]) ).
thf(f4981,plain,
( ( $true = $false )
| ( sF151 = $false ) ),
inference(backward_demodulation,[],[f2617,f4970]) ).
thf(f4984,plain,
sF151 = $false,
inference(trivial_inequality_removal,[],[f4981]) ).
thf(f4997,plain,
( $false
= ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> sF148 ) ) ) ),
inference(backward_demodulation,[],[f1505,f4984]) ).
thf(f5007,plain,
( ( sepInPowerset
=> ( sepSubset
=> sF148 ) )
= $false ),
inference(imp_proxy_clausification,[],[f4997]) ).
thf(f5013,plain,
( $false
= ( sepSubset
=> sF148 ) ),
inference(imp_proxy_clausification,[],[f5007]) ).
thf(f5019,plain,
$false = sF148,
inference(imp_proxy_clausification,[],[f5013]) ).
thf(f5029,plain,
( ( binunionIL
=> sF146 )
= $false ),
inference(backward_demodulation,[],[f4174,f5019]) ).
thf(f5047,plain,
$false = sF146,
inference(imp_proxy_clausification,[],[f5029]) ).
thf(f5056,plain,
( ( sF145 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2600,f5047]) ).
thf(f5062,plain,
sF145 = $false,
inference(trivial_inequality_removal,[],[f5056]) ).
thf(f5072,plain,
( ( $false = sF144 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2593,f5062]) ).
thf(f5074,plain,
$false = sF144,
inference(trivial_inequality_removal,[],[f5072]) ).
thf(f5083,plain,
( ( $true = $false )
| ( sF143 = $false ) ),
inference(backward_demodulation,[],[f2588,f5074]) ).
thf(f5086,plain,
sF143 = $false,
inference(trivial_inequality_removal,[],[f5083]) ).
thf(f5096,plain,
( ( $true = $false )
| ( sF142 = $false ) ),
inference(backward_demodulation,[],[f2577,f5086]) ).
thf(f5099,plain,
sF142 = $false,
inference(trivial_inequality_removal,[],[f5096]) ).
thf(f5112,plain,
( ( sF141 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2569,f5099]) ).
thf(f5114,plain,
sF141 = $false,
inference(trivial_inequality_removal,[],[f5112]) ).
thf(f5127,plain,
( ( $true = $false )
| ( sF140 = $false ) ),
inference(backward_demodulation,[],[f2562,f5114]) ).
thf(f5130,plain,
sF140 = $false,
inference(trivial_inequality_removal,[],[f5127]) ).
thf(f5144,plain,
( ( sF139 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2552,f5130]) ).
thf(f5146,plain,
sF139 = $false,
inference(trivial_inequality_removal,[],[f5144]) ).
thf(f5158,plain,
( ( binintersectEL
=> ( binintersectLsub
=> sF137 ) )
= $false ),
inference(backward_demodulation,[],[f1472,f5146]) ).
thf(f5167,plain,
( ( binintersectLsub
=> sF137 )
= $false ),
inference(imp_proxy_clausification,[],[f5158]) ).
thf(f5174,plain,
sF137 = $false,
inference(imp_proxy_clausification,[],[f5167]) ).
thf(f5184,plain,
( ( sF136 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2538,f5174]) ).
thf(f5189,plain,
sF136 = $false,
inference(trivial_inequality_removal,[],[f5184]) ).
thf(f5204,plain,
( ( $true = $false )
| ( sF135 = $false ) ),
inference(backward_demodulation,[],[f2529,f5189]) ).
thf(f5207,plain,
sF135 = $false,
inference(trivial_inequality_removal,[],[f5204]) ).
thf(f5225,plain,
( ( $true = $false )
| ( sF134 = $false ) ),
inference(backward_demodulation,[],[f2522,f5207]) ).
thf(f5227,plain,
sF134 = $false,
inference(trivial_inequality_removal,[],[f5225]) ).
thf(f5240,plain,
( ( disjointsetsI1
=> ( binintersectRsub
=> sF132 ) )
= $false ),
inference(backward_demodulation,[],[f1484,f5227]) ).
thf(f5249,plain,
( ( binintersectRsub
=> sF132 )
= $false ),
inference(imp_proxy_clausification,[],[f5240]) ).
thf(f5255,plain,
sF132 = $false,
inference(imp_proxy_clausification,[],[f5249]) ).
thf(f5268,plain,
( ( sF131 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2505,f5255]) ).
thf(f5270,plain,
sF131 = $false,
inference(trivial_inequality_removal,[],[f5268]) ).
thf(f5282,plain,
( ( $true = $false )
| ( sF130 = $false ) ),
inference(backward_demodulation,[],[f2498,f5270]) ).
thf(f5285,plain,
sF130 = $false,
inference(trivial_inequality_removal,[],[f5282]) ).
thf(f5298,plain,
( ( $true = $false )
| ( $false = sF129 ) ),
inference(backward_demodulation,[],[f2491,f5285]) ).
thf(f5301,plain,
$false = sF129,
inference(trivial_inequality_removal,[],[f5298]) ).
thf(f5311,plain,
( ( $true = $false )
| ( sF128 = $false ) ),
inference(backward_demodulation,[],[f2482,f5301]) ).
thf(f5312,plain,
( ( $true = $false )
| ( setminusI = $true ) ),
inference(backward_demodulation,[],[f2483,f5301]) ).
thf(f5313,plain,
sF128 = $false,
inference(trivial_inequality_removal,[],[f5311]) ).
thf(f5314,plain,
setminusI = $true,
inference(trivial_inequality_removal,[],[f5312]) ).
thf(f5325,plain,
( ( $true = $false )
| ( sF127 = $false ) ),
inference(backward_demodulation,[],[f2474,f5313]) ).
thf(f5326,plain,
( ( $true = $false )
| ( setminusEL = $true ) ),
inference(backward_demodulation,[],[f2476,f5313]) ).
thf(f5327,plain,
setminusEL = $true,
inference(trivial_inequality_removal,[],[f5326]) ).
thf(f5328,plain,
sF127 = $false,
inference(trivial_inequality_removal,[],[f5325]) ).
thf(f5329,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
=> ( ~ ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f886,f5314]) ).
thf(f5338,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f976,f5327]) ).
thf(f5340,plain,
( ( sF126 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2469,f5328]) ).
thf(f5341,plain,
( ( setminusER = $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2470,f5328]) ).
thf(f5342,plain,
sF126 = $false,
inference(trivial_inequality_removal,[],[f5340]) ).
thf(f5343,plain,
setminusER = $true,
inference(trivial_inequality_removal,[],[f5341]) ).
thf(f5344,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
=> ( ~ ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( setminus @ Y2 @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f5329]) ).
thf(f5345,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ Y1 )
=> ( ~ ( in @ Y0 @ X1 )
=> ( in @ Y0 @ ( setminus @ Y1 @ X1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f5344]) ).
thf(f5350,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
=> ( in @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f5338]) ).
thf(f5351,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setminus @ Y0 @ X1 ) )
=> ( in @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f5350]) ).
thf(f5353,plain,
( ( sF125 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2459,f5342]) ).
thf(f5357,plain,
sF125 = $false,
inference(trivial_inequality_removal,[],[f5353]) ).
thf(f5361,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ~ ( in @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f870,f5343]) ).
thf(f5362,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ Y1 )
=> ( ~ ( in @ Y0 @ X1 )
=> ( in @ Y0 @ ( setminus @ Y1 @ X1 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f5345]) ).
thf(f5363,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ Y0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f5362]) ).
thf(f5365,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setminus @ Y0 @ X1 ) )
=> ( in @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f5351]) ).
thf(f5366,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setminus @ X2 @ X1 ) )
=> ( in @ Y0 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f5365]) ).
thf(f5371,plain,
( ( $false = sF124 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2452,f5357]) ).
thf(f5374,plain,
$false = sF124,
inference(trivial_inequality_removal,[],[f5371]) ).
thf(f5379,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
=> ~ ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f5361]) ).
thf(f5380,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ Y1 ) )
=> ~ ( in @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f5379]) ).
thf(f5381,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X2 @ Y0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ Y0 @ X1 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f5363]) ).
thf(f5382,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X2 @ X3 )
=> ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X3 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f5381]) ).
thf(f5383,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( setminus @ X2 @ X1 ) )
=> ( in @ Y0 @ X2 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f5366]) ).
thf(f5384,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
=> ( in @ X3 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f5383]) ).
thf(f5390,plain,
( $false
= ( setminusELneg
=> ( setminusILneg
=> sF122 ) ) ),
inference(backward_demodulation,[],[f1480,f5374]) ).
thf(f5391,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( setminus @ Y0 @ Y1 ) )
=> ~ ( in @ X1 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f5380]) ).
thf(f5392,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ X2 @ Y0 ) )
=> ~ ( in @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f5391]) ).
thf(f5393,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ X3 )
= $false )
| ( $true
= ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X3 @ X1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f5382]) ).
thf(f5394,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
= $false )
| ( ( in @ X3 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f5384]) ).
thf(f5399,plain,
( ( setminusILneg
=> sF122 )
= $false ),
inference(imp_proxy_clausification,[],[f5390]) ).
thf(f5401,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( setminus @ X2 @ Y0 ) )
=> ~ ( in @ X1 @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f5392]) ).
thf(f5402,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
=> ~ ( in @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f5401]) ).
thf(f5403,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( in @ X2 @ ( setminus @ X3 @ X1 ) ) )
| ( ( ~ ( in @ X2 @ X1 ) )
= $false )
| ( ( in @ X2 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f5393]) ).
thf(f5408,plain,
sF122 = $false,
inference(imp_proxy_clausification,[],[f5399]) ).
thf(f5410,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
= $false )
| ( $true
= ( ~ ( in @ X1 @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f5402]) ).
thf(f5422,plain,
( ( $false = sF121 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2435,f5408]) ).
thf(f5425,plain,
$false = sF121,
inference(trivial_inequality_removal,[],[f5422]) ).
thf(f5438,plain,
( ( $true = $false )
| ( sF120 = $false ) ),
inference(backward_demodulation,[],[f2430,f5425]) ).
thf(f5441,plain,
sF120 = $false,
inference(trivial_inequality_removal,[],[f5438]) ).
thf(f5454,plain,
( ( setminusSubset1
=> ( symdiffE
=> sF118 ) )
= $false ),
inference(backward_demodulation,[],[f1502,f5441]) ).
thf(f5462,plain,
( ( symdiffE
=> sF118 )
= $false ),
inference(imp_proxy_clausification,[],[f5454]) ).
thf(f5471,plain,
$false = sF118,
inference(imp_proxy_clausification,[],[f5462]) ).
thf(f5477,plain,
( ( symdiffI1
=> ( symdiffI2
=> sF116 ) )
= $false ),
inference(backward_demodulation,[],[f1456,f5471]) ).
thf(f5484,plain,
( ( symdiffI2
=> sF116 )
= $false ),
inference(imp_proxy_clausification,[],[f5477]) ).
thf(f5493,plain,
$false = sF116,
inference(imp_proxy_clausification,[],[f5484]) ).
thf(f5507,plain,
( ( sF114 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3260,f5493]) ).
thf(f5509,plain,
sF114 = $false,
inference(trivial_inequality_removal,[],[f5507]) ).
thf(f5525,plain,
( ( $true = $false )
| ( $false = sF113 ) ),
inference(backward_demodulation,[],[f2390,f5509]) ).
thf(f5527,plain,
$false = sF113,
inference(trivial_inequality_removal,[],[f5525]) ).
thf(f5542,plain,
( ( $true = $false )
| ( sF111 = $false ) ),
inference(backward_demodulation,[],[f3227,f5527]) ).
thf(f5547,plain,
sF111 = $false,
inference(trivial_inequality_removal,[],[f5542]) ).
thf(f5569,plain,
( ( sF110 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2353,f5547]) ).
thf(f5572,plain,
sF110 = $false,
inference(trivial_inequality_removal,[],[f5569]) ).
thf(f5589,plain,
( ( $true = $false )
| ( $false = sF109 ) ),
inference(backward_demodulation,[],[f2346,f5572]) ).
thf(f5592,plain,
$false = sF109,
inference(trivial_inequality_removal,[],[f5589]) ).
thf(f5615,plain,
( ( sF108 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2339,f5592]) ).
thf(f5618,plain,
sF108 = $false,
inference(trivial_inequality_removal,[],[f5615]) ).
thf(f5634,plain,
( ( sF105 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f4130,f5618]) ).
thf(f5635,plain,
sF105 = $false,
inference(trivial_inequality_removal,[],[f5634]) ).
thf(f5657,plain,
( ( sF104 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2297,f5635]) ).
thf(f5666,plain,
sF104 = $false,
inference(trivial_inequality_removal,[],[f5657]) ).
thf(f5687,plain,
( ( $true = $false )
| ( sF103 = $false ) ),
inference(backward_demodulation,[],[f2290,f5666]) ).
thf(f5689,plain,
sF103 = $false,
inference(trivial_inequality_removal,[],[f5687]) ).
thf(f5709,plain,
( ( $true = $false )
| ( $false = sF102 ) ),
inference(backward_demodulation,[],[f2285,f5689]) ).
thf(f5712,plain,
$false = sF102,
inference(trivial_inequality_removal,[],[f5709]) ).
thf(f5727,plain,
( ( $true = $false )
| ( sF101 = $false ) ),
inference(backward_demodulation,[],[f2275,f5712]) ).
thf(f5729,plain,
sF101 = $false,
inference(trivial_inequality_removal,[],[f5727]) ).
thf(f5743,plain,
( ( $false = sF99 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f3090,f5729]) ).
thf(f5745,plain,
$false = sF99,
inference(trivial_inequality_removal,[],[f5743]) ).
thf(f5765,plain,
( ( sF98 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2251,f5745]) ).
thf(f5767,plain,
sF98 = $false,
inference(trivial_inequality_removal,[],[f5765]) ).
thf(f5787,plain,
( ( sF97 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2242,f5767]) ).
thf(f5791,plain,
sF97 = $false,
inference(trivial_inequality_removal,[],[f5787]) ).
thf(f5811,plain,
( ( sF96 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2235,f5791]) ).
thf(f5816,plain,
sF96 = $false,
inference(trivial_inequality_removal,[],[f5811]) ).
thf(f5846,plain,
( ( $true = $false )
| ( $false = sF95 ) ),
inference(backward_demodulation,[],[f2224,f5816]) ).
thf(f5848,plain,
$false = sF95,
inference(trivial_inequality_removal,[],[f5846]) ).
thf(f5864,plain,
( ( $true = $false )
| ( sF94 = $false ) ),
inference(backward_demodulation,[],[f2216,f5848]) ).
thf(f5868,plain,
sF94 = $false,
inference(trivial_inequality_removal,[],[f5864]) ).
thf(f5889,plain,
( ( sF92 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2993,f5868]) ).
thf(f5891,plain,
sF92 = $false,
inference(trivial_inequality_removal,[],[f5889]) ).
thf(f5919,plain,
( ( $false = sF91 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2194,f5891]) ).
thf(f5924,plain,
$false = sF91,
inference(trivial_inequality_removal,[],[f5919]) ).
thf(f5943,plain,
( ( $false = sF90 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2188,f5924]) ).
thf(f5945,plain,
$false = sF90,
inference(trivial_inequality_removal,[],[f5943]) ).
thf(f5963,plain,
( ( $true = $false )
| ( sF88 = $false ) ),
inference(backward_demodulation,[],[f2969,f5945]) ).
thf(f5964,plain,
sF88 = $false,
inference(trivial_inequality_removal,[],[f5963]) ).
thf(f5982,plain,
( ( $false = sF87 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2162,f5964]) ).
thf(f5987,plain,
$false = sF87,
inference(trivial_inequality_removal,[],[f5982]) ).
thf(f6014,plain,
( ( $true = $false )
| ( $false = sF85 ) ),
inference(backward_demodulation,[],[f2945,f5987]) ).
thf(f6017,plain,
$false = sF85,
inference(trivial_inequality_removal,[],[f6014]) ).
thf(f6042,plain,
( ( kfstpairEq
=> ( cartprodfstin
=> sF83 ) )
= $false ),
inference(backward_demodulation,[],[f1465,f6017]) ).
thf(f6067,plain,
( ( cartprodfstin
=> sF83 )
= $false ),
inference(imp_proxy_clausification,[],[f6042]) ).
thf(f6082,plain,
sF83 = $false,
inference(imp_proxy_clausification,[],[f6067]) ).
thf(f6100,plain,
( ( sF82 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2122,f6082]) ).
thf(f6104,plain,
sF82 = $false,
inference(trivial_inequality_removal,[],[f6100]) ).
thf(f6125,plain,
( ( $true = $false )
| ( sF80 = $false ) ),
inference(backward_demodulation,[],[f2870,f6104]) ).
thf(f6126,plain,
sF80 = $false,
inference(trivial_inequality_removal,[],[f6125]) ).
thf(f6151,plain,
( ( setukpairinjR12
=> ( setukpairinjR1
=> sF78 ) )
= $false ),
inference(backward_demodulation,[],[f1494,f6126]) ).
thf(f6169,plain,
( ( setukpairinjR1
=> sF78 )
= $false ),
inference(imp_proxy_clausification,[],[f6151]) ).
thf(f6188,plain,
sF78 = $false,
inference(imp_proxy_clausification,[],[f6169]) ).
thf(f6208,plain,
( ( $true = $false )
| ( sF77 = $false ) ),
inference(backward_demodulation,[],[f2087,f6188]) ).
thf(f6212,plain,
sF77 = $false,
inference(trivial_inequality_removal,[],[f6208]) ).
thf(f6233,plain,
( ( sF76 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2082,f6212]) ).
thf(f6236,plain,
sF76 = $false,
inference(trivial_inequality_removal,[],[f6233]) ).
thf(f6254,plain,
( $false
= ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> sF73 ) ) ) ),
inference(backward_demodulation,[],[f1507,f6236]) ).
thf(f6267,plain,
( $false
= ( ksndsingleton
=> ( ksndpairEq
=> sF73 ) ) ),
inference(imp_proxy_clausification,[],[f6254]) ).
thf(f6278,plain,
( ( ksndpairEq
=> sF73 )
= $false ),
inference(imp_proxy_clausification,[],[f6267]) ).
thf(f6290,plain,
sF73 = $false,
inference(imp_proxy_clausification,[],[f6278]) ).
thf(f6302,plain,
( ( sF72 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2063,f6290]) ).
thf(f6309,plain,
sF72 = $false,
inference(trivial_inequality_removal,[],[f6302]) ).
thf(f6326,plain,
( ( $false = sF71 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2055,f6309]) ).
thf(f6328,plain,
$false = sF71,
inference(trivial_inequality_removal,[],[f6326]) ).
thf(f6343,plain,
( ( $true = $false )
| ( sF70 = $false ) ),
inference(backward_demodulation,[],[f2048,f6328]) ).
thf(f6345,plain,
sF70 = $false,
inference(trivial_inequality_removal,[],[f6343]) ).
thf(f6357,plain,
( ( cartprodpairmemER
=> ( cartprodmempaircEq
=> sF68 ) )
= $false ),
inference(backward_demodulation,[],[f1500,f6345]) ).
thf(f6364,plain,
( ( cartprodmempaircEq
=> sF68 )
= $false ),
inference(imp_proxy_clausification,[],[f6357]) ).
thf(f6371,plain,
sF68 = $false,
inference(imp_proxy_clausification,[],[f6364]) ).
thf(f6385,plain,
( ( $true = $false )
| ( $false = sF67 ) ),
inference(backward_demodulation,[],[f2033,f6371]) ).
thf(f6387,plain,
$false = sF67,
inference(trivial_inequality_removal,[],[f6385]) ).
thf(f6402,plain,
( ( $true = $false )
| ( sF66 = $false ) ),
inference(backward_demodulation,[],[f2021,f6387]) ).
thf(f6404,plain,
sF66 = $false,
inference(trivial_inequality_removal,[],[f6402]) ).
thf(f6414,plain,
( ( sF65 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2014,f6404]) ).
thf(f6416,plain,
sF65 = $false,
inference(trivial_inequality_removal,[],[f6414]) ).
thf(f6429,plain,
( ( sF64 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2006,f6416]) ).
thf(f6433,plain,
sF64 = $false,
inference(trivial_inequality_removal,[],[f6429]) ).
thf(f6446,plain,
( ( $true = $false )
| ( sF63 = $false ) ),
inference(backward_demodulation,[],[f1998,f6433]) ).
thf(f6449,plain,
sF63 = $false,
inference(trivial_inequality_removal,[],[f6446]) ).
thf(f6475,plain,
( ( $true = $false )
| ( sF62 = $false ) ),
inference(backward_demodulation,[],[f3165,f6449]) ).
thf(f6476,plain,
sF62 = $false,
inference(trivial_inequality_removal,[],[f6475]) ).
thf(f6488,plain,
( ( $false = sF61 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1989,f6476]) ).
thf(f6491,plain,
$false = sF61,
inference(trivial_inequality_removal,[],[f6488]) ).
thf(f6504,plain,
( $false
= ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> sF59 ) ) ),
inference(backward_demodulation,[],[f1463,f6491]) ).
thf(f6519,plain,
( $false
= ( dpsetconstrEL2
=> sF59 ) ),
inference(imp_proxy_clausification,[],[f6504]) ).
thf(f6529,plain,
sF59 = $false,
inference(imp_proxy_clausification,[],[f6519]) ).
thf(f6539,plain,
( ( sF58 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1968,f6529]) ).
thf(f6543,plain,
sF58 = $false,
inference(trivial_inequality_removal,[],[f6539]) ).
thf(f6556,plain,
( ( $true = $false )
| ( sF56 = $false ) ),
inference(backward_demodulation,[],[f2751,f6543]) ).
thf(f6557,plain,
sF56 = $false,
inference(trivial_inequality_removal,[],[f6556]) ).
thf(f6575,plain,
( $false
= ( app
=> ( infuncsetfunc
=> sF54 ) ) ),
inference(backward_demodulation,[],[f1493,f6557]) ).
thf(f6592,plain,
( $false
= ( infuncsetfunc
=> sF54 ) ),
inference(imp_proxy_clausification,[],[f6575]) ).
thf(f6605,plain,
sF54 = $false,
inference(imp_proxy_clausification,[],[f6592]) ).
thf(f6626,plain,
( ( $true = $false )
| ( sF53 = $false ) ),
inference(backward_demodulation,[],[f1940,f6605]) ).
thf(f6628,plain,
sF53 = $false,
inference(trivial_inequality_removal,[],[f6626]) ).
thf(f6645,plain,
( $false
= ( funcinfuncset
=> ( lamProp
=> sF51 ) ) ),
inference(backward_demodulation,[],[f1474,f6628]) ).
thf(f6658,plain,
( ( lamProp
=> sF51 )
= $false ),
inference(imp_proxy_clausification,[],[f6645]) ).
thf(f6670,plain,
$false = sF51,
inference(imp_proxy_clausification,[],[f6658]) ).
thf(f6687,plain,
( ( $true = $false )
| ( sF50 = $false ) ),
inference(backward_demodulation,[],[f1922,f6670]) ).
thf(f6689,plain,
sF50 = $false,
inference(trivial_inequality_removal,[],[f6687]) ).
thf(f6706,plain,
( ( $true = $false )
| ( sF48 = $false ) ),
inference(backward_demodulation,[],[f2701,f6689]) ).
thf(f6707,plain,
sF48 = $false,
inference(trivial_inequality_removal,[],[f6706]) ).
thf(f6721,plain,
( ( sF47 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1901,f6707]) ).
thf(f6725,plain,
sF47 = $false,
inference(trivial_inequality_removal,[],[f6721]) ).
thf(f6746,plain,
( ( sF45 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2654,f6725]) ).
thf(f6747,plain,
sF45 = $false,
inference(trivial_inequality_removal,[],[f6746]) ).
thf(f6768,plain,
( ( $false = sF43 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2606,f6747]) ).
thf(f6771,plain,
$false = sF43,
inference(trivial_inequality_removal,[],[f6768]) ).
thf(f6809,plain,
( ( $true = $false )
| ( $false = sF41 ) ),
inference(backward_demodulation,[],[f2582,f6771]) ).
thf(f6813,plain,
$false = sF41,
inference(trivial_inequality_removal,[],[f6809]) ).
thf(f6845,plain,
( ( sF39 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2558,f6813]) ).
thf(f6848,plain,
sF39 = $false,
inference(trivial_inequality_removal,[],[f6845]) ).
thf(f6882,plain,
( ( $true = $false )
| ( sF38 = $false ) ),
inference(backward_demodulation,[],[f1829,f6848]) ).
thf(f6886,plain,
sF38 = $false,
inference(trivial_inequality_removal,[],[f6882]) ).
thf(f6919,plain,
( ( $true = $false )
| ( sF36 = $false ) ),
inference(backward_demodulation,[],[f2511,f6886]) ).
thf(f6922,plain,
sF36 = $false,
inference(trivial_inequality_removal,[],[f6919]) ).
thf(f6962,plain,
( ( $true = $false )
| ( $false = sF34 ) ),
inference(backward_demodulation,[],[f2487,f6922]) ).
thf(f6963,plain,
$false = sF34,
inference(trivial_inequality_removal,[],[f6962]) ).
thf(f6992,plain,
( ( $true = $false )
| ( sF33 = $false ) ),
inference(backward_demodulation,[],[f1795,f6963]) ).
thf(f6997,plain,
sF33 = $false,
inference(trivial_inequality_removal,[],[f6992]) ).
thf(f7030,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $i )
@ ^ [Y2: $i > $i] : $true ) ) )
=> sF32 )
= $false ),
inference(backward_demodulation,[],[f1498,f6997]) ).
thf(f7059,plain,
$false = sF32,
inference(imp_proxy_clausification,[],[f7030]) ).
thf(f7086,plain,
( $false
= ( beta2
=> ( eta2
=> sF30 ) ) ),
inference(backward_demodulation,[],[f1468,f7059]) ).
thf(f7111,plain,
( ( eta2
=> sF30 )
= $false ),
inference(imp_proxy_clausification,[],[f7086]) ).
thf(f7137,plain,
sF30 = $false,
inference(imp_proxy_clausification,[],[f7111]) ).
thf(f7167,plain,
( ( $false = sF29 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1772,f7137]) ).
thf(f7169,plain,
$false = sF29,
inference(trivial_inequality_removal,[],[f7167]) ).
thf(f7199,plain,
( ( sF27 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2441,f7169]) ).
thf(f7200,plain,
sF27 = $false,
inference(trivial_inequality_removal,[],[f7199]) ).
thf(f7224,plain,
( ( sF26 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1749,f7200]) ).
thf(f7229,plain,
sF26 = $false,
inference(trivial_inequality_removal,[],[f7224]) ).
thf(f7262,plain,
( ( $true = $false )
| ( sF24 = $false ) ),
inference(backward_demodulation,[],[f2417,f7229]) ).
thf(f7265,plain,
sF24 = $false,
inference(trivial_inequality_removal,[],[f7262]) ).
thf(f7295,plain,
( ( sF23 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1728,f7265]) ).
thf(f7298,plain,
sF23 = $false,
inference(trivial_inequality_removal,[],[f7295]) ).
thf(f7324,plain,
( ( sF22 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1720,f7298]) ).
thf(f7326,plain,
sF22 = $false,
inference(trivial_inequality_removal,[],[f7324]) ).
thf(f7351,plain,
( ( $true = $false )
| ( $false = sF21 ) ),
inference(backward_demodulation,[],[f1713,f7326]) ).
thf(f7355,plain,
$false = sF21,
inference(trivial_inequality_removal,[],[f7351]) ).
thf(f7382,plain,
( ( $true = $false )
| ( sF20 = $false ) ),
inference(backward_demodulation,[],[f1707,f7355]) ).
thf(f7385,plain,
sF20 = $false,
inference(trivial_inequality_removal,[],[f7382]) ).
thf(f7417,plain,
( ( sF19 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1699,f7385]) ).
thf(f7420,plain,
sF19 = $false,
inference(trivial_inequality_removal,[],[f7417]) ).
thf(f7448,plain,
( ( sF18 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1686,f7420]) ).
thf(f7452,plain,
sF18 = $false,
inference(trivial_inequality_removal,[],[f7448]) ).
thf(f7481,plain,
( $false
= ( powersetT_lem
=> ( setminusT_lem
=> sF16 ) ) ),
inference(backward_demodulation,[],[f1469,f7452]) ).
thf(f7500,plain,
( ( setminusT_lem
=> sF16 )
= $false ),
inference(imp_proxy_clausification,[],[f7481]) ).
thf(f7511,plain,
sF16 = $false,
inference(imp_proxy_clausification,[],[f7500]) ).
thf(f7527,plain,
( ( $true = $false )
| ( $false = sF15 ) ),
inference(backward_demodulation,[],[f1674,f7511]) ).
thf(f7531,plain,
$false = sF15,
inference(trivial_inequality_removal,[],[f7527]) ).
thf(f7552,plain,
( ( sF13 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2334,f7531]) ).
thf(f7555,plain,
sF13 = $false,
inference(trivial_inequality_removal,[],[f7552]) ).
thf(f7579,plain,
( ( $false = sF11 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2279,f7555]) ).
thf(f7583,plain,
$false = sF11,
inference(trivial_inequality_removal,[],[f7579]) ).
thf(f7609,plain,
( ( $false = sF9 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f2255,f7583]) ).
thf(f7610,plain,
$false = sF9,
inference(trivial_inequality_removal,[],[f7609]) ).
thf(f7638,plain,
( ( $false = sF8 )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1620,f7610]) ).
thf(f7643,plain,
$false = sF8,
inference(trivial_inequality_removal,[],[f7638]) ).
thf(f7667,plain,
( $false
= ( binintersectTERcontra
=> ( contrasubsetT
=> sF6 ) ) ),
inference(backward_demodulation,[],[f1459,f7643]) ).
thf(f7690,plain,
( ( contrasubsetT
=> sF6 )
= $false ),
inference(imp_proxy_clausification,[],[f7667]) ).
thf(f7713,plain,
sF6 = $false,
inference(imp_proxy_clausification,[],[f7690]) ).
thf(f7746,plain,
( ( sF5 = $false )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f1604,f7713]) ).
thf(f7749,plain,
sF5 = $false,
inference(trivial_inequality_removal,[],[f7746]) ).
thf(f7784,plain,
( ( $true = $false )
| ( sF4 = $false ) ),
inference(backward_demodulation,[],[f1592,f7749]) ).
thf(f7787,plain,
sF4 = $false,
inference(trivial_inequality_removal,[],[f7784]) ).
thf(f7822,plain,
( ( $true = $false )
| ( sF3 = $false ) ),
inference(backward_demodulation,[],[f1584,f7787]) ).
thf(f7825,plain,
sF3 = $false,
inference(trivial_inequality_removal,[],[f7822]) ).
thf(f7853,plain,
( ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> sF0 ) ) )
= $false ),
inference(backward_demodulation,[],[f1513,f7825]) ).
thf(f7885,plain,
( ( doubleComplementE1
=> ( doubleComplementSub1
=> sF0 ) )
= $false ),
inference(imp_proxy_clausification,[],[f7853]) ).
thf(f7928,plain,
( ( doubleComplementSub1
=> sF0 )
= $false ),
inference(imp_proxy_clausification,[],[f7885]) ).
thf(f7968,plain,
sF0 = $false,
inference(imp_proxy_clausification,[],[f7928]) ).
thf(f8010,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) ) )
= $false ),
inference(backward_demodulation,[],[f1021,f7968]) ).
thf(f8053,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ ( setminus @ Y1 @ ( setminus @ Y1 @ Y0 ) ) @ Y0 ) ) )
@ sK282 )
= $false ),
inference(sigma_proxy_clausification,[],[f8010]) ).
thf(f8054,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ sK282 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ sK282 ) ) @ sK282 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f8053]) ).
thf(f8107,plain,
( ( ^ [Y0: $i] :
( ( in @ sK282 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ sK282 ) ) @ sK282 ) )
@ sK283 )
= $false ),
inference(sigma_proxy_clausification,[],[f8054]) ).
thf(f8108,plain,
( $false
= ( ( in @ sK282 @ ( powerset @ sK283 ) )
=> ( subset @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) @ sK282 ) ) ),
inference(beta-eta_normalization,[],[f8107]) ).
thf(f8158,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK282 )
=> ( in @ Y0 @ sK283 ) ) )
=> ( subset @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) @ sK282 ) )
= $false ),
inference(forward_demodulation,[],[f8108,f3386]) ).
thf(f8206,plain,
( ( subset @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) @ sK282 )
= $false ),
inference(imp_proxy_clausification,[],[f8158]) ).
thf(f8207,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK282 )
=> ( in @ Y0 @ sK283 ) ) ) ),
inference(imp_proxy_clausification,[],[f8158]) ).
thf(f8261,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ sK282 )
=> ( in @ Y0 @ sK283 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f8207]) ).
thf(f8262,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ sK282 )
=> ( in @ X1 @ sK283 ) ) ),
inference(beta-eta_normalization,[],[f8261]) ).
thf(f8327,plain,
! [X1: $i] :
( ( $true
= ( in @ X1 @ sK283 ) )
| ( ( in @ X1 @ sK282 )
= $false ) ),
inference(imp_proxy_clausification,[],[f8262]) ).
thf(f9228,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
= $false )
| ( ( in @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f5410]) ).
thf(f10303,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( in @ X2 @ ( setminus @ X3 @ X1 ) ) )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f5403]) ).
thf(f17052,plain,
( ( sK282
!= ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) )
| ( $true = $false ) ),
inference(superposition,[],[f8206,f4722]) ).
thf(f17059,plain,
( sK282
!= ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ),
inference(trivial_inequality_removal,[],[f17052]) ).
thf(f17069,plain,
( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) )
!= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK282 ) ),
inference(unit_resulting_resolution,[],[f3376,f17059]) ).
thf(f21778,plain,
( ( $false
!= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK282 ) )
| ( $true
= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK283 ) ) ),
inference(superposition,[],[f17069,f5394]) ).
thf(f21781,plain,
( ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $false )
| ( $false
!= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK282 ) ) ),
inference(superposition,[],[f17069,f9228]) ).
thf(f21783,plain,
( ( $true
!= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK282 ) )
| ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $true )
| ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK283 )
= $false ) ),
inference(superposition,[],[f17069,f10303]) ).
thf(f21791,plain,
( ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $true )
| ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK283 )
= $false ) ),
inference(forward_subsumption_resolution,[],[f21783,f10303]) ).
thf(f21792,plain,
( $true
= ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ sK283 ) ),
inference(forward_subsumption_resolution,[],[f21778,f8327]) ).
thf(f21793,plain,
( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $false ),
inference(forward_subsumption_resolution,[],[f21781,f9228]) ).
thf(f21795,plain,
( ( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $true )
| ( $true = $false ) ),
inference(backward_demodulation,[],[f21791,f21792]) ).
thf(f21800,plain,
( ( in @ ( sK248 @ sK282 @ ( setminus @ sK283 @ ( setminus @ sK283 @ sK282 ) ) ) @ ( setminus @ sK283 @ sK282 ) )
= $true ),
inference(trivial_inequality_removal,[],[f21795]) ).
thf(f21810,plain,
$true = $false,
inference(forward_demodulation,[],[f21800,f21793]) ).
thf(f21811,plain,
$false,
inference(trivial_inequality_removal,[],[f21810]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU730^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n014.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 14:17:15 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.51 % (2728729)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.51 % (2728745)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4159279682:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.51 % (2728746)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.51 % (2728746)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.75/0.51 % (2728745)Instruction limit reached!
% 0.75/0.51 % (2728745)------------------------------
% 0.75/0.51 % (2728745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.51 % (2728745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.51 % (2728745)CaDiCaL version: 2.1.3
% 0.75/0.51 % (2728745)Termination reason: Instruction limit
% 0.75/0.51 % (2728745)Termination phase: Preprocessing 3
% 0.75/0.51 % (2728745)Time elapsed: 0.018 s
% 0.75/0.51 % (2728745)Peak memory usage: 12 MB
% 0.75/0.51 % (2728745)Instructions burned: 75 (million)
% 0.75/0.51 % (2728742)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4064846446:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.51 % (2728740)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2322796228:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.51 % (2728741)lrs+10_16_si=on:nwc=1.5:random_seed=1338205875:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.51 % (2728743)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=3672464452:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.75/0.51 % (2728746)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=1584388946:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.51 % (2728742)Instruction limit reached!
% 0.75/0.51 % (2728742)------------------------------
% 0.75/0.51 % (2728742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.51 % (2728742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.51 % (2728742)CaDiCaL version: 2.1.3
% 0.75/0.51 % (2728742)Termination reason: Instruction limit
% 0.75/0.51 % (2728742)Termination phase: shuffling
% 0.75/0.51 % (2728742)Time elapsed: 0.003 s
% 0.75/0.51 % (2728742)Peak memory usage: 10 MB
% 0.75/0.51 % (2728742)Instructions burned: 3 (million)
% 0.75/0.51 % (2728741)Instruction limit reached!
% 0.75/0.51 % (2728741)------------------------------
% 0.75/0.51 % (2728741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.51 % (2728741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.51 % (2728741)CaDiCaL version: 2.1.3
% 0.75/0.51 % (2728741)Termination reason: Instruction limit
% 0.75/0.51 % (2728741)Termination phase: shuffling
% 0.75/0.51 % (2728741)Time elapsed: 0.017 s
% 0.75/0.52 % (2728741)Peak memory usage: 10 MB
% 0.75/0.52 % (2728741)Instructions burned: 19 (million)
% 0.75/0.52 % (2728749)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=799118851:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.52 % (2728744)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2384170573:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.52 % (2728749)Instruction limit reached!
% 0.75/0.52 % (2728749)------------------------------
% 0.75/0.52 % (2728749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.52 % (2728749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.52 % (2728749)CaDiCaL version: 2.1.3
% 0.75/0.52 % (2728749)Termination reason: Instruction limit
% 0.75/0.52 % (2728749)Termination phase: shuffling
% 0.75/0.52 % (2728749)Time elapsed: 0.004 s
% 0.75/0.52 % (2728749)Peak memory usage: 10 MB
% 0.75/0.52 % (2728749)Instructions burned: 9 (million)
% 0.75/0.52 % (2728756)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1344800024:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.48/0.57 % (2728756)Instruction limit reached!
% 1.48/0.57 % (2728756)------------------------------
% 1.48/0.57 % (2728756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728756)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728756)Termination reason: Instruction limit
% 1.48/0.57 % (2728756)Termination phase: shuffling
% 1.48/0.57 % (2728756)Time elapsed: 0.005 s
% 1.48/0.57 % (2728756)Peak memory usage: 10 MB
% 1.48/0.57 % (2728756)Instructions burned: 5 (million)
% 1.48/0.57 % (2728762)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4179968130:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.48/0.57 % (2728759)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.48/0.57 % (2728744)Instruction limit reached!
% 1.48/0.57 % (2728744)------------------------------
% 1.48/0.57 % (2728744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728744)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728744)Termination reason: Instruction limit
% 1.48/0.57 % (2728744)Termination phase: Property scanning
% 1.48/0.57 % (2728744)Time elapsed: 0.023 s
% 1.48/0.57 % (2728744)Peak memory usage: 10 MB
% 1.48/0.57 % (2728744)Instructions burned: 24 (million)
% 1.48/0.57 % (2728762)Instruction limit reached!
% 1.48/0.57 % (2728762)------------------------------
% 1.48/0.57 % (2728762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728762)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728762)Termination reason: Instruction limit
% 1.48/0.57 % (2728762)Termination phase: shuffling
% 1.48/0.57 % (2728762)Time elapsed: 0.006 s
% 1.48/0.57 % (2728762)Peak memory usage: 10 MB
% 1.48/0.57 % (2728762)Instructions burned: 13 (million)
% 1.48/0.57 % (2728759)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=734925568:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.48/0.57 % (2728759)Instruction limit reached!
% 1.48/0.57 % (2728759)------------------------------
% 1.48/0.57 % (2728759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728759)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728759)Termination reason: Instruction limit
% 1.48/0.57 % (2728759)Termination phase: shuffling
% 1.48/0.57 % (2728759)Time elapsed: 0.007 s
% 1.48/0.57 % (2728759)Peak memory usage: 10 MB
% 1.48/0.57 % (2728759)Instructions burned: 7 (million)
% 1.48/0.57 % (2728774)lrs+10_1_si=on:cs=on:random_seed=3955402064:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.48/0.57 % (2728767)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
% 1.48/0.57 % (2728767)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.48/0.57 % (2728740)Instruction limit reached!
% 1.48/0.57 % (2728740)------------------------------
% 1.48/0.57 % (2728740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728740)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728740)Termination reason: Instruction limit
% 1.48/0.57 % (2728740)Termination phase: Preprocessing 3
% 1.48/0.57 % (2728740)Time elapsed: 0.074 s
% 1.48/0.57 % (2728740)Peak memory usage: 12 MB
% 1.48/0.57 % (2728740)Instructions burned: 87 (million)
% 1.48/0.57 % (2728774)Instruction limit reached!
% 1.48/0.57 % (2728774)------------------------------
% 1.48/0.57 % (2728774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (2728774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (2728774)CaDiCaL version: 2.1.3
% 1.48/0.57 % (2728774)Termination reason: Instruction limit
% 1.48/0.57 % (2728774)Termination phase: shuffling
% 1.48/0.57 % (2728774)Time elapsed: 0.004 s
% 1.48/0.57 % (2728774)Peak memory usage: 10 MB
% 1.48/0.63 % (2728774)Instructions burned: 9 (million)
% 1.48/0.63 % (2728767)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1746549819:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.48/0.63 % (2728768)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=2014961154:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.48/0.63 % (2728776)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.48/0.63 % (2728781)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3254446669:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.48/0.63 % (2728776)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=1513342207:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.48/0.63 % (2728776)Instruction limit reached!
% 1.48/0.63 % (2728776)------------------------------
% 1.48/0.63 % (2728776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.63 % (2728776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.63 % (2728776)CaDiCaL version: 2.1.3
% 1.48/0.63 % (2728776)Termination reason: Instruction limit
% 1.48/0.63 % (2728776)Termination phase: shuffling
% 1.48/0.63 % (2728776)Time elapsed: 0.003 s
% 1.48/0.63 % (2728776)Peak memory usage: 10 MB
% 1.48/0.63 % (2728776)Instructions burned: 3 (million)
% 1.48/0.63 % (2728767)Instruction limit reached!
% 1.48/0.63 % (2728767)------------------------------
% 1.48/0.63 % (2728767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.63 % (2728767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.63 % (2728767)CaDiCaL version: 2.1.3
% 1.48/0.63 % (2728767)Termination reason: Instruction limit
% 1.48/0.63 % (2728767)Termination phase: shuffling
% 1.48/0.63 % (2728767)Time elapsed: 0.025 s
% 1.48/0.63 % (2728767)Peak memory usage: 10 MB
% 1.48/0.63 % (2728767)Instructions burned: 29 (million)
% 1.48/0.63 % (2728780)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3395896315:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.48/0.63 % (2728746)Instruction limit reached!
% 1.48/0.63 % (2728746)------------------------------
% 1.48/0.63 % (2728746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.63 % (2728746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.63 % (2728746)CaDiCaL version: 2.1.3
% 1.48/0.63 % (2728746)Termination reason: Instruction limit
% 1.48/0.63 % (2728746)Termination phase: Saturation
% 1.48/0.63 % (2728746)Time elapsed: 0.123 s
% 1.48/0.63 % (2728746)Peak memory usage: 13 MB
% 1.48/0.63 % (2728746)Instructions burned: 157 (million)
% 1.48/0.63 % (2728789)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1165519526:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.48/0.63 % (2728780)Instruction limit reached!
% 1.48/0.63 % (2728780)------------------------------
% 1.48/0.63 % (2728780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.64 % (2728780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.64 % (2728780)CaDiCaL version: 2.1.3
% 1.48/0.64 % (2728780)Termination reason: Instruction limit
% 1.48/0.64 % (2728780)Termination phase: SInE selection
% 1.48/0.64 % (2728780)Time elapsed: 0.032 s
% 1.48/0.64 % (2728780)Peak memory usage: 11 MB
% 1.48/0.64 % (2728780)Instructions burned: 39 (million)
% 1.48/0.64 % (2728768)Instruction limit reached!
% 1.48/0.64 % (2728768)------------------------------
% 1.48/0.64 % (2728768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.64 % (2728768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.64 % (2728768)CaDiCaL version: 2.1.3
% 1.48/0.64 % (2728768)Termination reason: Instruction limit
% 1.48/0.64 % (2728768)Termination phase: Property scanning
% 1.48/0.64 % (2728768)Time elapsed: 0.067 s
% 1.48/0.64 % (2728768)Peak memory usage: 11 MB
% 1.48/0.64 % (2728768)Instructions burned: 86 (million)
% 1.48/0.64 % (2728790)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1249573238:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.44/0.80 % (2728789)Instruction limit reached!
% 2.44/0.80 % (2728789)------------------------------
% 2.44/0.80 % (2728789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728789)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728789)Termination reason: Instruction limit
% 2.44/0.80 % (2728789)Termination phase: Property scanning
% 2.44/0.80 % (2728789)Time elapsed: 0.022 s
% 2.44/0.80 % (2728789)Peak memory usage: 10 MB
% 2.44/0.80 % (2728789)Instructions burned: 25 (million)
% 2.44/0.80 % (2728792)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3656392577:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.44/0.80 % (2728790)Instruction limit reached!
% 2.44/0.80 % (2728790)------------------------------
% 2.44/0.80 % (2728790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728790)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728790)Termination reason: Instruction limit
% 2.44/0.80 % (2728790)Termination phase: shuffling
% 2.44/0.80 % (2728790)Time elapsed: 0.013 s
% 2.44/0.80 % (2728790)Peak memory usage: 10 MB
% 2.44/0.80 % (2728790)Instructions burned: 14 (million)
% 2.44/0.80 % (2728794)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3129909726:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.44/0.80 % (2728795)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=761569297: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)
% 2.44/0.80 % (2728797)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=434009791:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.44/0.80 % (2728795)Instruction limit reached!
% 2.44/0.80 % (2728795)------------------------------
% 2.44/0.80 % (2728795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728795)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728795)Termination reason: Instruction limit
% 2.44/0.80 % (2728795)Termination phase: shuffling
% 2.44/0.80 % (2728795)Time elapsed: 0.003 s
% 2.44/0.80 % (2728795)Peak memory usage: 10 MB
% 2.44/0.80 % (2728795)Instructions burned: 3 (million)
% 2.44/0.80 % (2728794)Instruction limit reached!
% 2.44/0.80 % (2728794)------------------------------
% 2.44/0.80 % (2728794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728794)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728794)Termination reason: Instruction limit
% 2.44/0.80 % (2728794)Termination phase: shuffling
% 2.44/0.80 % (2728794)Time elapsed: 0.014 s
% 2.44/0.80 % (2728794)Peak memory usage: 10 MB
% 2.44/0.80 % (2728794)Instructions burned: 16 (million)
% 2.44/0.80 % (2728799)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=59291601:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.44/0.80 % (2728781)Instruction limit reached!
% 2.44/0.80 % (2728781)------------------------------
% 2.44/0.80 % (2728781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728781)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728781)Termination reason: Instruction limit
% 2.44/0.80 % (2728781)Termination phase: Saturation
% 2.44/0.80 % (2728781)Time elapsed: 0.114 s
% 2.44/0.80 % (2728781)Peak memory usage: 15 MB
% 2.44/0.80 % (2728781)Instructions burned: 250 (million)
% 2.44/0.80 % (2728797)Instruction limit reached!
% 2.44/0.80 % (2728797)------------------------------
% 2.44/0.80 % (2728797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (2728797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (2728797)CaDiCaL version: 2.1.3
% 2.44/0.80 % (2728797)Termination reason: Instruction limit
% 2.44/0.80 % (2728797)Termination phase: shuffling
% 2.44/0.80 % (2728797)Time elapsed: 0.022 s
% 2.44/0.80 % (2728797)Peak memory usage: 10 MB
% 2.44/0.80 % (2728797)Instructions burned: 26 (million)
% 3.01/0.94 % (2728799)Instruction limit reached!
% 3.01/0.94 % (2728799)------------------------------
% 3.01/0.94 % (2728799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.94 % (2728799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.94 % (2728799)CaDiCaL version: 2.1.3
% 3.01/0.94 % (2728799)Termination reason: Instruction limit
% 3.01/0.94 % (2728799)Termination phase: shuffling
% 3.01/0.94 % (2728799)Time elapsed: 0.020 s
% 3.01/0.94 % (2728799)Peak memory usage: 10 MB
% 3.01/0.94 % (2728799)Instructions burned: 24 (million)
% 3.01/0.94 % (2728804)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
% 3.01/0.94 % (2728804)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 3.01/0.94 % (2728806)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 3.01/0.94 % (2728806)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=3423811823:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 3.01/0.94 % (2728804)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=2486258869:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.01/0.94 % (2728806)Instruction limit reached!
% 3.01/0.94 % (2728806)------------------------------
% 3.01/0.94 % (2728806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.94 % (2728806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.94 % (2728806)CaDiCaL version: 2.1.3
% 3.01/0.94 % (2728806)Termination reason: Instruction limit
% 3.01/0.94 % (2728806)Termination phase: shuffling
% 3.01/0.94 % (2728806)Time elapsed: 0.004 s
% 3.01/0.94 % (2728806)Peak memory usage: 10 MB
% 3.01/0.94 % (2728806)Instructions burned: 9 (million)
% 3.01/0.94 % (2728804)Instruction limit reached!
% 3.01/0.94 % (2728804)------------------------------
% 3.01/0.94 % (2728804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.94 % (2728804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.94 % (2728804)CaDiCaL version: 2.1.3
% 3.01/0.94 % (2728804)Termination reason: Instruction limit
% 3.01/0.94 % (2728804)Termination phase: shuffling
% 3.01/0.94 % (2728804)Time elapsed: 0.013 s
% 3.01/0.94 % (2728804)Peak memory usage: 10 MB
% 3.01/0.94 % (2728804)Instructions burned: 15 (million)
% 3.01/0.94 % (2728807)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=3754593032:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 3.01/0.94 % (2728808)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3895475871:i=7:hud=5:bd=preordered:rtra=on:bet=on_2996 on theBenchmark for (2996ds/7Mi)
% 3.01/0.94 % (2728803)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1089208855:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 3.01/0.94 % (2728808)Instruction limit reached!
% 3.01/0.94 % (2728808)------------------------------
% 3.01/0.94 % (2728808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.94 % (2728808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.94 % (2728808)CaDiCaL version: 2.1.3
% 3.01/0.94 % (2728808)Termination reason: Instruction limit
% 3.01/0.94 % (2728808)Termination phase: shuffling
% 3.01/0.94 % (2728808)Time elapsed: 0.008 s
% 3.01/0.94 % (2728808)Peak memory usage: 10 MB
% 3.01/0.94 % (2728808)Instructions burned: 8 (million)
% 3.01/0.94 % (2728807)Instruction limit reached!
% 3.01/0.94 % (2728807)------------------------------
% 3.01/0.94 % (2728807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.94 % (2728807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.94 % (2728807)CaDiCaL version: 2.1.3
% 3.01/0.94 % (2728807)Termination reason: Instruction limit
% 3.01/0.94 % (2728807)Termination phase: shuffling
% 3.01/0.94 % (2728807)Time elapsed: 0.026 s
% 3.01/0.94 % (2728807)Peak memory usage: 10 MB
% 3.37/1.04 % (2728807)Instructions burned: 31 (million)
% 3.37/1.04 % (2728816)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=594305279:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.37/1.04 % (2728811)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1695805474:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 3.37/1.04 % (2728812)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=996572436:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 3.37/1.04 % (2728817)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=299932664:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.37/1.04 % (2728812)Instruction limit reached!
% 3.37/1.04 % (2728812)------------------------------
% 3.37/1.04 % (2728812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.04 % (2728812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.04 % (2728812)CaDiCaL version: 2.1.3
% 3.37/1.04 % (2728812)Termination reason: Instruction limit
% 3.37/1.04 % (2728812)Termination phase: shuffling
% 3.37/1.04 % (2728812)Time elapsed: 0.011 s
% 3.37/1.04 % (2728812)Peak memory usage: 10 MB
% 3.37/1.04 % (2728812)Instructions burned: 21 (million)
% 3.37/1.04 % (2728811)Instruction limit reached!
% 3.37/1.04 % (2728811)------------------------------
% 3.37/1.04 % (2728811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.04 % (2728811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.04 % (2728811)CaDiCaL version: 2.1.3
% 3.37/1.04 % (2728811)Termination reason: Instruction limit
% 3.37/1.04 % (2728811)Termination phase: shuffling
% 3.37/1.04 % (2728811)Time elapsed: 0.023 s
% 3.37/1.04 % (2728811)Peak memory usage: 10 MB
% 3.37/1.04 % (2728811)Instructions burned: 24 (million)
% 3.37/1.04 % (2728803)Instruction limit reached!
% 3.37/1.04 % (2728803)------------------------------
% 3.37/1.04 % (2728803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.04 % (2728803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.04 % (2728803)CaDiCaL version: 2.1.3
% 3.37/1.04 % (2728803)Termination reason: Instruction limit
% 3.37/1.04 % (2728803)Termination phase: Preprocessing 3
% 3.37/1.04 % (2728803)Time elapsed: 0.073 s
% 3.37/1.04 % (2728803)Peak memory usage: 12 MB
% 3.37/1.04 % (2728803)Instructions burned: 60 (million)
% 3.37/1.04 % (2728824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.37/1.04 % (2728822)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2858716386:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/193Mi)
% 3.37/1.04 % (2728817)Instruction limit reached!
% 3.37/1.04 % (2728817)------------------------------
% 3.37/1.04 % (2728817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.04 % (2728817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.04 % (2728817)CaDiCaL version: 2.1.3
% 3.37/1.04 % (2728817)Termination reason: Instruction limit
% 3.37/1.04 % (2728817)Termination phase: Saturation
% 3.37/1.04 % (2728817)Time elapsed: 0.064 s
% 3.37/1.04 % (2728817)Peak memory usage: 12 MB
% 3.37/1.04 % (2728817)Instructions burned: 144 (million)
% 3.37/1.04 % (2728823)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3677825903:i=42:hud=10:rtra=on_2995 on theBenchmark for (2995ds/42Mi)
% 3.37/1.04 % (2728824)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=549601879:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 3.37/1.04 % (2728824)Instruction limit reached!
% 3.37/1.04 % (2728824)------------------------------
% 3.37/1.04 % (2728824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.04 % (2728824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.04 % (2728824)CaDiCaL version: 2.1.3
% 3.37/1.04 % (2728824)Termination reason: Instruction limit
% 3.37/1.04 % (2728824)Termination phase: shuffling
% 3.37/1.04 % (2728824)Time elapsed: 0.014 s
% 3.37/1.04 % (2728824)Peak memory usage: 10 MB
% 3.37/1.04 % (2728824)Instructions burned: 7 (million)
% 3.37/1.04 % (2728792)Instruction limit reached!
% 3.37/1.04 % (2728792)------------------------------
% 4.92/1.20 % (2728792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728792)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728792)Termination reason: Instruction limit
% 4.92/1.20 % (2728792)Termination phase: Saturation
% 4.92/1.20 % (2728792)Time elapsed: 0.274 s
% 4.92/1.20 % (2728792)Peak memory usage: 15 MB
% 4.92/1.20 % (2728792)Instructions burned: 327 (million)
% 4.92/1.20 % (2728826)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2437196870:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 4.92/1.20 % (2728823)Instruction limit reached!
% 4.92/1.20 % (2728823)------------------------------
% 4.92/1.20 % (2728823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728823)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728823)Termination reason: Instruction limit
% 4.92/1.20 % (2728823)Termination phase: Property scanning
% 4.92/1.20 % (2728823)Time elapsed: 0.070 s
% 4.92/1.20 % (2728823)Peak memory usage: 11 MB
% 4.92/1.20 % (2728823)Instructions burned: 45 (million)
% 4.92/1.20 % (2728830)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.92/1.20 % (2728829)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=3726740390: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)
% 4.92/1.20 % (2728830)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1412439632:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2994 on theBenchmark for (2994ds/6Mi)
% 4.92/1.20 % (2728822)Instruction limit reached!
% 4.92/1.20 % (2728822)------------------------------
% 4.92/1.20 % (2728822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728822)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728822)Termination reason: Instruction limit
% 4.92/1.20 % (2728822)Termination phase: Saturation
% 4.92/1.20 % (2728822)Time elapsed: 0.121 s
% 4.92/1.20 % (2728822)Peak memory usage: 13 MB
% 4.92/1.20 % (2728822)Instructions burned: 193 (million)
% 4.92/1.20 % (2728830)Instruction limit reached!
% 4.92/1.20 % (2728830)------------------------------
% 4.92/1.20 % (2728830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728830)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728830)Termination reason: Instruction limit
% 4.92/1.20 % (2728830)Termination phase: shuffling
% 4.92/1.20 % (2728830)Time elapsed: 0.006 s
% 4.92/1.20 % (2728830)Peak memory usage: 10 MB
% 4.92/1.20 % (2728830)Instructions burned: 6 (million)
% 4.92/1.20 % (2728832)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2248264288:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.92/1.20 % (2728835)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3845617252:i=19:add=on:rtra=on_2994 on theBenchmark for (2994ds/19Mi)
% 4.92/1.20 % (2728743)Instruction limit reached!
% 4.92/1.20 % (2728743)------------------------------
% 4.92/1.20 % (2728743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728743)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728743)Termination reason: Instruction limit
% 4.92/1.20 % (2728743)Termination phase: Saturation
% 4.92/1.20 % (2728743)Time elapsed: 0.577 s
% 4.92/1.20 % (2728743)Peak memory usage: 20 MB
% 4.92/1.20 % (2728743)Instructions burned: 634 (million)
% 4.92/1.20 % (2728832)Instruction limit reached!
% 4.92/1.20 % (2728832)------------------------------
% 4.92/1.20 % (2728832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.20 % (2728832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.20 % (2728832)CaDiCaL version: 2.1.3
% 4.92/1.20 % (2728832)Termination reason: Instruction limit
% 4.92/1.20 % (2728832)Termination phase: shuffling
% 4.92/1.20 % (2728832)Time elapsed: 0.027 s
% 6.14/1.41 % (2728832)Peak memory usage: 10 MB
% 6.14/1.41 % (2728832)Instructions burned: 23 (million)
% 6.14/1.41 % (2728836)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=4278840563:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/316Mi)
% 6.14/1.41 % (2728835)Instruction limit reached!
% 6.14/1.41 % (2728835)------------------------------
% 6.14/1.41 % (2728835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.41 % (2728835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.41 % (2728835)CaDiCaL version: 2.1.3
% 6.14/1.41 % (2728835)Termination reason: Instruction limit
% 6.14/1.41 % (2728835)Termination phase: shuffling
% 6.14/1.41 % (2728835)Time elapsed: 0.019 s
% 6.14/1.41 % (2728835)Peak memory usage: 10 MB
% 6.14/1.41 % (2728835)Instructions burned: 19 (million)
% 6.14/1.41 % (2728826)Instruction limit reached!
% 6.14/1.41 % (2728826)------------------------------
% 6.14/1.41 % (2728826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.41 % (2728826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.41 % (2728826)CaDiCaL version: 2.1.3
% 6.14/1.41 % (2728826)Termination reason: Instruction limit
% 6.14/1.41 % (2728826)Termination phase: Saturation
% 6.14/1.41 % (2728826)Time elapsed: 0.144 s
% 6.14/1.41 % (2728826)Peak memory usage: 13 MB
% 6.14/1.41 % (2728826)Instructions burned: 182 (million)
% 6.14/1.41 % (2728839)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=1026155605:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2993 on theBenchmark for (2993ds/853Mi)
% 6.14/1.41 % (2728840)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=2291822400:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2993 on theBenchmark for (2993ds/45Mi)
% 6.14/1.41 % (2728840)Instruction limit reached!
% 6.14/1.41 % (2728840)------------------------------
% 6.14/1.41 % (2728840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.41 % (2728840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.41 % (2728840)CaDiCaL version: 2.1.3
% 6.14/1.41 % (2728840)Termination reason: Instruction limit
% 6.14/1.41 % (2728840)Termination phase: Property scanning
% 6.14/1.41 % (2728840)Time elapsed: 0.023 s
% 6.14/1.41 % (2728840)Peak memory usage: 10 MB
% 6.14/1.41 % (2728840)Instructions burned: 45 (million)
% 6.14/1.41 % (2728842)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1858056539:i=480:rtra=on_2993 on theBenchmark for (2993ds/480Mi)
% 6.14/1.41 % (2728843)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1001099209:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/21Mi)
% 6.14/1.41 % (2728843)Instruction limit reached!
% 6.14/1.41 % (2728843)------------------------------
% 6.14/1.41 % (2728843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.41 % (2728843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.41 % (2728843)CaDiCaL version: 2.1.3
% 6.14/1.41 % (2728843)Termination reason: Instruction limit
% 6.14/1.41 % (2728843)Termination phase: shuffling
% 6.14/1.41 % (2728843)Time elapsed: 0.018 s
% 6.14/1.41 % (2728843)Peak memory usage: 10 MB
% 6.14/1.41 % (2728843)Instructions burned: 21 (million)
% 6.14/1.41 % (2728846)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.14/1.41 % (2728846)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2611559382:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/200Mi)
% 6.14/1.41 % (2728829)Instruction limit reached!
% 6.14/1.41 % (2728829)------------------------------
% 6.14/1.41 % (2728829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.41 % (2728829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.41 % (2728829)CaDiCaL version: 2.1.3
% 6.14/1.41 % (2728829)Termination reason: Instruction limit
% 6.14/1.41 % (2728829)Termination phase: Saturation
% 7.01/1.65 % (2728829)Time elapsed: 0.189 s
% 7.01/1.65 % (2728829)Peak memory usage: 13 MB
% 7.01/1.65 % (2728829)Instructions burned: 169 (million)
% 7.01/1.65 % (2728849)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1201989476:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/13Mi)
% 7.01/1.65 % (2728849)Instruction limit reached!
% 7.01/1.65 % (2728849)------------------------------
% 7.01/1.65 % (2728849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728849)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728849)Termination reason: Instruction limit
% 7.01/1.65 % (2728849)Termination phase: shuffling
% 7.01/1.65 % (2728849)Time elapsed: 0.011 s
% 7.01/1.65 % (2728849)Peak memory usage: 10 MB
% 7.01/1.65 % (2728849)Instructions burned: 13 (million)
% 7.01/1.65 % (2728851)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=2599145990:i=66:s2at=3:nm=2:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/66Mi)
% 7.01/1.65 % (2728851)Instruction limit reached!
% 7.01/1.65 % (2728851)------------------------------
% 7.01/1.65 % (2728851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728851)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728851)Termination reason: Instruction limit
% 7.01/1.65 % (2728851)Termination phase: SInE selection
% 7.01/1.65 % (2728851)Time elapsed: 0.039 s
% 7.01/1.65 % (2728851)Peak memory usage: 11 MB
% 7.01/1.65 % (2728851)Instructions burned: 68 (million)
% 7.01/1.65 % (2728854)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3947760652:i=51:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/51Mi)
% 7.01/1.65 % (2728856)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=441191806:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 7.01/1.65 % (2728854)Instruction limit reached!
% 7.01/1.65 % (2728854)------------------------------
% 7.01/1.65 % (2728854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728854)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728854)Termination reason: Instruction limit
% 7.01/1.65 % (2728854)Termination phase: Property scanning
% 7.01/1.65 % (2728854)Time elapsed: 0.042 s
% 7.01/1.65 % (2728854)Peak memory usage: 11 MB
% 7.01/1.65 % (2728854)Instructions burned: 51 (million)
% 7.01/1.65 % (2728858)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1452758872:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2991 on theBenchmark for (2991ds/137Mi)
% 7.01/1.65 % (2728856)Instruction limit reached!
% 7.01/1.65 % (2728856)------------------------------
% 7.01/1.65 % (2728856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728856)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728856)Termination reason: Instruction limit
% 7.01/1.65 % (2728856)Termination phase: shuffling
% 7.01/1.65 % (2728856)Time elapsed: 0.027 s
% 7.01/1.65 % (2728856)Peak memory usage: 10 MB
% 7.01/1.65 % (2728856)Instructions burned: 32 (million)
% 7.01/1.65 % (2728846)Instruction limit reached!
% 7.01/1.65 % (2728846)------------------------------
% 7.01/1.65 % (2728846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728846)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728846)Termination reason: Instruction limit
% 7.01/1.65 % (2728846)Termination phase: Saturation
% 7.01/1.65 % (2728846)Time elapsed: 0.163 s
% 7.01/1.65 % (2728846)Peak memory usage: 14 MB
% 7.01/1.65 % (2728846)Instructions burned: 201 (million)
% 7.01/1.65 % (2728836)Instruction limit reached!
% 7.01/1.65 % (2728836)------------------------------
% 7.01/1.65 % (2728836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.65 % (2728836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.65 % (2728836)CaDiCaL version: 2.1.3
% 7.01/1.65 % (2728836)Termination reason: Instruction limit
% 7.01/1.65 % (2728836)Termination phase: Saturation
% 7.01/1.65 % (2728836)Time elapsed: 0.254 s
% 7.01/1.65 % (2728836)Peak memory usage: 15 MB
% 7.93/1.89 % (2728836)Instructions burned: 316 (million)
% 7.93/1.89 % (2728860)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=2839318324:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 7.93/1.89 % (2728862)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.93/1.89 % (2728862)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2439998528:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2990 on theBenchmark for (2990ds/180Mi)
% 7.93/1.89 % (2728861)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3035820272:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2990 on theBenchmark for (2990ds/67Mi)
% 7.93/1.89 % (2728860)Instruction limit reached!
% 7.93/1.89 % (2728860)------------------------------
% 7.93/1.89 % (2728860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.89 % (2728860)CaDiCaL version: 2.1.3
% 7.93/1.89 % (2728860)Termination reason: Instruction limit
% 7.93/1.89 % (2728860)Termination phase: shuffling
% 7.93/1.89 % (2728860)Time elapsed: 0.061 s
% 7.93/1.89 % (2728860)Peak memory usage: 11 MB
% 7.93/1.89 % (2728860)Instructions burned: 35 (million)
% 7.93/1.89 % (2728858)Instruction limit reached!
% 7.93/1.89 % (2728858)------------------------------
% 7.93/1.89 % (2728858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.89 % (2728858)CaDiCaL version: 2.1.3
% 7.93/1.89 % (2728858)Termination reason: Instruction limit
% 7.93/1.89 % (2728858)Termination phase: Property scanning
% 7.93/1.89 % (2728858)Time elapsed: 0.158 s
% 7.93/1.89 % (2728858)Peak memory usage: 12 MB
% 7.93/1.89 % (2728858)Instructions burned: 138 (million)
% 7.93/1.89 % (2728866)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1751893232:st=2:i=246:sd=3:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/246Mi)
% 7.93/1.89 % (2728861)Instruction limit reached!
% 7.93/1.89 % (2728861)------------------------------
% 7.93/1.89 % (2728861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.89 % (2728861)CaDiCaL version: 2.1.3
% 7.93/1.89 % (2728861)Termination reason: Instruction limit
% 7.93/1.89 % (2728861)Termination phase: Property scanning
% 7.93/1.89 % (2728861)Time elapsed: 0.064 s
% 7.93/1.89 % (2728861)Peak memory usage: 11 MB
% 7.93/1.89 % (2728861)Instructions burned: 68 (million)
% 7.93/1.89 % (2728867)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1857767131:cond=on:i=96:bd=all:rtra=on_2989 on theBenchmark for (2989ds/96Mi)
% 7.93/1.89 % (2728839)Instruction limit reached!
% 7.93/1.89 % (2728839)------------------------------
% 7.93/1.89 % (2728839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.89 % (2728839)CaDiCaL version: 2.1.3
% 7.93/1.89 % (2728839)Termination reason: Instruction limit
% 7.93/1.89 % (2728839)Termination phase: Saturation
% 7.93/1.89 % (2728839)Time elapsed: 0.409 s
% 7.93/1.89 % (2728839)Peak memory usage: 22 MB
% 7.93/1.89 % (2728839)Instructions burned: 853 (million)
% 7.93/1.89 % (2728869)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1808130257:i=427:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/427Mi)
% 7.93/1.89 % (2728842)Instruction limit reached!
% 7.93/1.89 % (2728842)------------------------------
% 7.93/1.89 % (2728842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.89 % (2728842)CaDiCaL version: 2.1.3
% 7.93/1.89 % (2728842)Termination reason: Instruction limit
% 7.93/1.89 % (2728842)Termination phase: Saturation
% 7.93/1.89 % (2728842)Time elapsed: 0.415 s
% 7.93/1.89 % (2728842)Peak memory usage: 17 MB
% 7.93/1.89 % (2728842)Instructions burned: 480 (million)
% 7.93/1.89 % (2728867)Instruction limit reached!
% 7.93/1.89 % (2728867)------------------------------
% 7.93/1.89 % (2728867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.89 % (2728867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728867)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728867)Termination reason: Instruction limit
% 8.98/2.06 % (2728867)Termination phase: Function definition elimination
% 8.98/2.06 % (2728867)Time elapsed: 0.062 s
% 8.98/2.06 % (2728867)Peak memory usage: 12 MB
% 8.98/2.06 % (2728867)Instructions burned: 97 (million)
% 8.98/2.06 % (2728871)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=507309555:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/874Mi)
% 8.98/2.06 % (2728862)Instruction limit reached!
% 8.98/2.06 % (2728862)------------------------------
% 8.98/2.06 % (2728862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/2.06 % (2728862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728862)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728862)Termination reason: Instruction limit
% 8.98/2.06 % (2728862)Termination phase: Saturation
% 8.98/2.06 % (2728862)Time elapsed: 0.144 s
% 8.98/2.06 % (2728862)Peak memory usage: 13 MB
% 8.98/2.06 % (2728862)Instructions burned: 180 (million)
% 8.98/2.06 % (2728873)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2961291689:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/515Mi)
% 8.98/2.06 % (2728874)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1123003446:st=1.5:i=130:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 8.98/2.06 % (2728876)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=734492763:i=44:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/44Mi)
% 8.98/2.06 % (2728876)Instruction limit reached!
% 8.98/2.06 % (2728876)------------------------------
% 8.98/2.06 % (2728876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/2.06 % (2728876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728876)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728876)Termination reason: Instruction limit
% 8.98/2.06 % (2728876)Termination phase: Property scanning
% 8.98/2.06 % (2728876)Time elapsed: 0.043 s
% 8.98/2.06 % (2728876)Peak memory usage: 10 MB
% 8.98/2.06 % (2728876)Instructions burned: 45 (million)
% 8.98/2.06 % (2728866)Instruction limit reached!
% 8.98/2.06 % (2728866)------------------------------
% 8.98/2.06 % (2728866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/2.06 % (2728866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728866)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728866)Termination reason: Instruction limit
% 8.98/2.06 % (2728866)Termination phase: Saturation
% 8.98/2.06 % (2728866)Time elapsed: 0.200 s
% 8.98/2.06 % (2728866)Peak memory usage: 15 MB
% 8.98/2.06 % (2728866)Instructions burned: 246 (million)
% 8.98/2.06 % (2728874)Instruction limit reached!
% 8.98/2.06 % (2728874)------------------------------
% 8.98/2.06 % (2728874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/2.06 % (2728874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728874)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728874)Termination reason: Instruction limit
% 8.98/2.06 % (2728874)Termination phase: Property scanning
% 8.98/2.06 % (2728874)Time elapsed: 0.063 s
% 8.98/2.06 % (2728874)Peak memory usage: 11 MB
% 8.98/2.06 % (2728874)Instructions burned: 132 (million)
% 8.98/2.06 % (2728880)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1526283321:s2a=on:i=571:nm=16:rtra=on_2987 on theBenchmark for (2987ds/571Mi)
% 8.98/2.06 % (2728881)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2576138427:i=450:rtra=on:ixr=off:ntd=on_2987 on theBenchmark for (2987ds/450Mi)
% 8.98/2.06 % (2728882)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2713333603:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/95Mi)
% 8.98/2.06 % (2728882)Instruction limit reached!
% 8.98/2.06 % (2728882)------------------------------
% 8.98/2.06 % (2728882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/2.06 % (2728882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/2.06 % (2728882)CaDiCaL version: 2.1.3
% 8.98/2.06 % (2728882)Termination reason: Instruction limit
% 8.98/2.06 % (2728882)Termination phase: Function definition elimination
% 8.98/2.06 % (2728882)Time elapsed: 0.077 s
% 8.98/2.06 % (2728882)Peak memory usage: 12 MB
% 8.98/2.06 % (2728882)Instructions burned: 96 (million)
% 11.33/2.27 % (2728886)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3515392492:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 11.33/2.27 % (2728886)Instruction limit reached!
% 11.33/2.27 % (2728886)------------------------------
% 11.33/2.27 % (2728886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.27 % (2728886)CaDiCaL version: 2.1.3
% 11.33/2.27 % (2728886)Termination reason: Instruction limit
% 11.33/2.27 % (2728886)Termination phase: SInE selection
% 11.33/2.27 % (2728886)Time elapsed: 0.029 s
% 11.33/2.27 % (2728886)Peak memory usage: 11 MB
% 11.33/2.27 % (2728886)Instructions burned: 65 (million)
% 11.33/2.27 % (2728816)Instruction limit reached!
% 11.33/2.27 % (2728816)------------------------------
% 11.33/2.27 % (2728816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.27 % (2728816)CaDiCaL version: 2.1.3
% 11.33/2.27 % (2728816)Termination reason: Instruction limit
% 11.33/2.27 % (2728816)Termination phase: Saturation
% 11.33/2.27 % (2728816)Time elapsed: 1.076 s
% 11.33/2.27 % (2728816)Peak memory usage: 20 MB
% 11.33/2.27 % (2728816)Instructions burned: 1240 (million)
% 11.33/2.27 % (2728888)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3286856702:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2985 on theBenchmark for (2985ds/105Mi)
% 11.33/2.27 % (2728869)Instruction limit reached!
% 11.33/2.27 % (2728869)------------------------------
% 11.33/2.27 % (2728869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.27 % (2728869)CaDiCaL version: 2.1.3
% 11.33/2.27 % (2728869)Termination reason: Instruction limit
% 11.33/2.27 % (2728869)Termination phase: Saturation
% 11.33/2.27 % (2728869)Time elapsed: 0.362 s
% 11.33/2.27 % (2728869)Peak memory usage: 16 MB
% 11.33/2.27 % (2728869)Instructions burned: 427 (million)
% 11.33/2.27 % (2728881)Instruction limit reached!
% 11.33/2.27 % (2728881)------------------------------
% 11.33/2.27 % (2728881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.27 % (2728881)CaDiCaL version: 2.1.3
% 11.33/2.27 % (2728881)Termination reason: Instruction limit
% 11.33/2.27 % (2728881)Termination phase: Saturation
% 11.33/2.27 % (2728881)Time elapsed: 0.198 s
% 11.33/2.27 % (2728881)Peak memory usage: 20 MB
% 11.33/2.27 % (2728881)Instructions burned: 452 (million)
% 11.33/2.27 % (2728889)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=53685875:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2985 on theBenchmark for (2985ds/5755Mi)
% 11.33/2.27 % (2728891)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3776346308:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/375Mi)
% 11.33/2.27 % (2728892)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=82528327:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/495Mi)
% 11.33/2.27 % (2728888)Instruction limit reached!
% 11.33/2.27 % (2728888)------------------------------
% 11.33/2.27 % (2728888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.27 % (2728888)CaDiCaL version: 2.1.3
% 11.33/2.27 % (2728888)Termination reason: Instruction limit
% 11.33/2.27 % (2728888)Termination phase: Property scanning
% 11.33/2.27 % (2728888)Time elapsed: 0.120 s
% 11.33/2.27 % (2728888)Peak memory usage: 12 MB
% 11.33/2.27 % (2728888)Instructions burned: 107 (million)
% 11.33/2.27 % (2728873)Instruction limit reached!
% 11.33/2.27 % (2728873)------------------------------
% 11.33/2.27 % (2728873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.27 % (2728873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728873)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728873)Termination reason: Instruction limit
% 12.34/2.47 % (2728873)Termination phase: Saturation
% 12.34/2.47 % (2728873)Time elapsed: 0.427 s
% 12.34/2.47 % (2728873)Peak memory usage: 16 MB
% 12.34/2.47 % (2728873)Instructions burned: 516 (million)
% 12.34/2.47 % (2728896)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=337133086:cond=on:i=34:hud=10:nm=10:rtra=on_2984 on theBenchmark for (2984ds/34Mi)
% 12.34/2.47 % (2728896)Instruction limit reached!
% 12.34/2.47 % (2728896)------------------------------
% 12.34/2.47 % (2728896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.34/2.47 % (2728896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728896)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728896)Termination reason: Instruction limit
% 12.34/2.47 % (2728896)Termination phase: shuffling
% 12.34/2.47 % (2728896)Time elapsed: 0.015 s
% 12.34/2.47 % (2728896)Peak memory usage: 11 MB
% 12.34/2.47 % (2728896)Instructions burned: 34 (million)
% 12.34/2.47 % (2728897)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2972680955:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/91Mi)
% 12.34/2.47 % (2728899)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2510307323:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2983 on theBenchmark for (2983ds/66Mi)
% 12.34/2.47 % (2728880)Instruction limit reached!
% 12.34/2.47 % (2728880)------------------------------
% 12.34/2.47 % (2728880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.34/2.47 % (2728880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728880)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728880)Termination reason: Instruction limit
% 12.34/2.47 % (2728880)Termination phase: Saturation
% 12.34/2.47 % (2728880)Time elapsed: 0.427 s
% 12.34/2.47 % (2728880)Peak memory usage: 19 MB
% 12.34/2.47 % (2728880)Instructions burned: 572 (million)
% 12.34/2.47 % (2728899)Instruction limit reached!
% 12.34/2.47 % (2728899)------------------------------
% 12.34/2.47 % (2728899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.34/2.47 % (2728899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728899)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728899)Termination reason: Instruction limit
% 12.34/2.47 % (2728899)Termination phase: Preprocessing 3
% 12.34/2.47 % (2728899)Time elapsed: 0.033 s
% 12.34/2.47 % (2728899)Peak memory usage: 12 MB
% 12.34/2.47 % (2728899)Instructions burned: 66 (million)
% 12.34/2.47 % (2728897)Instruction limit reached!
% 12.34/2.47 % (2728897)------------------------------
% 12.34/2.47 % (2728897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.34/2.47 % (2728897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728897)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728897)Termination reason: Instruction limit
% 12.34/2.47 % (2728897)Termination phase: Property scanning
% 12.34/2.47 % (2728897)Time elapsed: 0.073 s
% 12.34/2.47 % (2728897)Peak memory usage: 12 MB
% 12.34/2.47 % (2728897)Instructions burned: 91 (million)
% 12.34/2.47 % (2728903)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=4032559315:i=338:bd=all:ins=4:rtra=on_2982 on theBenchmark for (2982ds/338Mi)
% 12.34/2.47 % (2728902)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=632657035:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2982 on theBenchmark for (2982ds/22Mi)
% 12.34/2.47 % (2728902)Instruction limit reached!
% 12.34/2.47 % (2728902)------------------------------
% 12.34/2.47 % (2728902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.34/2.47 % (2728902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.47 % (2728902)CaDiCaL version: 2.1.3
% 12.34/2.47 % (2728902)Termination reason: Instruction limit
% 12.34/2.47 % (2728902)Termination phase: shuffling
% 12.34/2.47 % (2728902)Time elapsed: 0.017 s
% 12.34/2.47 % (2728902)Peak memory usage: 10 MB
% 12.34/2.47 % (2728902)Instructions burned: 23 (million)
% 12.34/2.47 % (2728904)lrs+10_1_sil=128000:si=on:urr=on:random_seed=729517268:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/28Mi)
% 12.34/2.47 % (2728907)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.46/2.77 % (2728907)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3494459733:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/137Mi)
% 13.46/2.77 % (2728904)Instruction limit reached!
% 13.46/2.77 % (2728904)------------------------------
% 13.46/2.77 % (2728904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.77 % (2728904)CaDiCaL version: 2.1.3
% 13.46/2.77 % (2728904)Termination reason: Instruction limit
% 13.46/2.77 % (2728904)Termination phase: shuffling
% 13.46/2.77 % (2728904)Time elapsed: 0.027 s
% 13.46/2.77 % (2728904)Peak memory usage: 10 MB
% 13.46/2.77 % (2728904)Instructions burned: 28 (million)
% 13.46/2.77 % (2728910)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2474868148:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/340Mi)
% 13.46/2.77 % (2728891)Instruction limit reached!
% 13.46/2.77 % (2728891)------------------------------
% 13.46/2.77 % (2728891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.77 % (2728891)CaDiCaL version: 2.1.3
% 13.46/2.77 % (2728891)Termination reason: Instruction limit
% 13.46/2.77 % (2728891)Termination phase: Saturation
% 13.46/2.77 % (2728891)Time elapsed: 0.330 s
% 13.46/2.77 % (2728891)Peak memory usage: 15 MB
% 13.46/2.77 % (2728891)Instructions burned: 375 (million)
% 13.46/2.77 % (2728871)Instruction limit reached!
% 13.46/2.77 % (2728871)------------------------------
% 13.46/2.77 % (2728871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.77 % (2728871)CaDiCaL version: 2.1.3
% 13.46/2.77 % (2728871)Termination reason: Instruction limit
% 13.46/2.77 % (2728871)Termination phase: Saturation
% 13.46/2.77 % (2728871)Time elapsed: 0.746 s
% 13.46/2.77 % (2728871)Peak memory usage: 17 MB
% 13.46/2.77 % (2728871)Instructions burned: 875 (million)
% 13.46/2.77 % (2728907)Instruction limit reached!
% 13.46/2.77 % (2728907)------------------------------
% 13.46/2.77 % (2728907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.77 % (2728907)CaDiCaL version: 2.1.3
% 13.46/2.77 % (2728907)Termination reason: Instruction limit
% 13.46/2.77 % (2728907)Termination phase: Saturation
% 13.46/2.77 % (2728907)Time elapsed: 0.111 s
% 13.46/2.77 % (2728907)Peak memory usage: 12 MB
% 13.46/2.77 % (2728907)Instructions burned: 138 (million)
% 13.46/2.77 % (2728913)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 13.46/2.77 % (2728912)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=452119770:i=227:sd=1:bd=all:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/227Mi)
% 13.46/2.77 % (2728913)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3459483305:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/373Mi)
% 13.46/2.77 % (2728914)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4015668309:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 13.46/2.77 % (2728914)Instruction limit reached!
% 13.46/2.77 % (2728914)------------------------------
% 13.46/2.77 % (2728914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.77 % (2728914)CaDiCaL version: 2.1.3
% 13.46/2.77 % (2728914)Termination reason: Instruction limit
% 13.46/2.77 % (2728914)Termination phase: Property scanning
% 13.46/2.77 % (2728914)Time elapsed: 0.059 s
% 13.46/2.77 % (2728914)Peak memory usage: 13 MB
% 13.46/2.77 % (2728914)Instructions burned: 117 (million)
% 13.46/2.77 % (2728892)Instruction limit reached!
% 13.46/2.77 % (2728892)------------------------------
% 13.46/2.77 % (2728892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.77 % (2728892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.07 % (2728892)CaDiCaL version: 2.1.3
% 15.43/3.07 % (2728892)Termination reason: Instruction limit
% 15.43/3.07 % (2728892)Termination phase: Saturation
% 15.43/3.07 % (2728892)Time elapsed: 0.438 s
% 15.43/3.07 % (2728892)Peak memory usage: 18 MB
% 15.43/3.07 % (2728892)Instructions burned: 496 (million)
% 15.43/3.07 % (2728903)Instruction limit reached!
% 15.43/3.07 % (2728903)------------------------------
% 15.43/3.07 % (2728903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/3.07 % (2728903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.07 % (2728903)CaDiCaL version: 2.1.3
% 15.43/3.07 % (2728903)Termination reason: Instruction limit
% 15.43/3.07 % (2728903)Termination phase: Saturation
% 15.43/3.07 % (2728903)Time elapsed: 0.254 s
% 15.43/3.07 % (2728903)Peak memory usage: 18 MB
% 15.43/3.07 % (2728903)Instructions burned: 339 (million)
% 15.43/3.07 % (2728918)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3101497118:i=575:rtra=on_2980 on theBenchmark for (2980ds/575Mi)
% 15.43/3.07 % (2728919)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=625961909:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.43/3.07 % (2728920)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=2452406946:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/9840Mi)
% 15.43/3.07 % (2728912)Instruction limit reached!
% 15.43/3.07 % (2728912)------------------------------
% 15.43/3.07 % (2728912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/3.07 % (2728912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.07 % (2728912)CaDiCaL version: 2.1.3
% 15.43/3.07 % (2728912)Termination reason: Instruction limit
% 15.43/3.07 % (2728912)Termination phase: Saturation
% 15.43/3.07 % (2728912)Time elapsed: 0.184 s
% 15.43/3.07 % (2728912)Peak memory usage: 15 MB
% 15.43/3.07 % (2728912)Instructions burned: 227 (million)
% 15.43/3.07 % (2728924)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1292704225:i=421:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/421Mi)
% 15.43/3.07 % (2728910)Instruction limit reached!
% 15.43/3.07 % (2728910)------------------------------
% 15.43/3.07 % (2728910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/3.07 % (2728910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.07 % (2728910)CaDiCaL version: 2.1.3
% 15.43/3.07 % (2728910)Termination reason: Instruction limit
% 15.43/3.07 % (2728910)Termination phase: Saturation
% 15.43/3.07 % (2728910)Time elapsed: 0.277 s
% 15.43/3.07 % (2728910)Peak memory usage: 14 MB
% 15.43/3.07 % (2728910)Instructions burned: 340 (million)
% 15.43/3.07 % (2728919)Instruction limit reached!
% 15.43/3.07 % (2728919)------------------------------
% 15.43/3.07 % (2728919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/3.07 % (2728919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.07 % (2728919)CaDiCaL version: 2.1.3
% 15.43/3.07 % (2728919)Termination reason: Instruction limit
% 15.43/3.07 % (2728919)Termination phase: Saturation
% 15.43/3.07 % (2728919)Time elapsed: 0.130 s
% 15.43/3.07 % (2728919)Peak memory usage: 15 MB
% 15.43/3.07 % (2728919)Instructions burned: 271 (million)
% 15.43/3.07 % (2728927)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3116265441:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/31Mi)
% 15.43/3.07 % (2728926)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.43/3.07 % (2728926)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1712091395:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/270Mi)
% 15.43/3.07 % (2728927)Instruction limit reached!
% 15.43/3.07 % (2728927)------------------------------
% 15.43/3.07 % (2728927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/3.07 % (2728927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728927)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728927)Termination reason: Instruction limit
% 20.51/3.55 % (2728927)Termination phase: shuffling
% 20.51/3.55 % (2728927)Time elapsed: 0.015 s
% 20.51/3.55 % (2728927)Peak memory usage: 10 MB
% 20.51/3.55 % (2728927)Instructions burned: 33 (million)
% 20.51/3.55 % (2728930)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 20.51/3.55 % (2728930)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
% 20.51/3.55 % (2728930)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=3855972160:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2978 on theBenchmark for (2978ds/1440Mi)
% 20.51/3.55 % (2728913)Instruction limit reached!
% 20.51/3.55 % (2728913)------------------------------
% 20.51/3.55 % (2728913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.51/3.55 % (2728913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728913)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728913)Termination reason: Instruction limit
% 20.51/3.55 % (2728913)Termination phase: Saturation
% 20.51/3.55 % (2728913)Time elapsed: 0.300 s
% 20.51/3.55 % (2728913)Peak memory usage: 13 MB
% 20.51/3.55 % (2728913)Instructions burned: 373 (million)
% 20.51/3.55 % (2728932)dis+10_2_sil=128000:si=on:random_seed=550223998:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2977 on theBenchmark for (2977ds/339Mi)
% 20.51/3.55 % (2728926)Refutation not found, incomplete strategy
% 20.51/3.55 % (2728926)------------------------------
% 20.51/3.55 % (2728926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.51/3.55 % (2728926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728926)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728926)Termination reason: Refutation not found, incomplete strategy
% 20.51/3.55 % (2728926)Time elapsed: 0.201 s
% 20.51/3.55 % (2728926)Peak memory usage: 15 MB
% 20.51/3.55 % (2728926)Instructions burned: 248 (million)
% 20.51/3.55 % (2728926)------------------------------
% 20.51/3.55 % (2728926)------------------------------
% 20.51/3.55 % (2728934)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1744211504:i=111:add=on:fgj=on:rtra=on:fdi=1024_2976 on theBenchmark for (2976ds/111Mi)
% 20.51/3.55 % (2728934)Instruction limit reached!
% 20.51/3.55 % (2728934)------------------------------
% 20.51/3.55 % (2728934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.51/3.55 % (2728934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728934)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728934)Termination reason: Instruction limit
% 20.51/3.55 % (2728934)Termination phase: Property scanning
% 20.51/3.55 % (2728934)Time elapsed: 0.050 s
% 20.51/3.55 % (2728934)Peak memory usage: 12 MB
% 20.51/3.55 % (2728934)Instructions burned: 113 (million)
% 20.51/3.55 % (2728918)Instruction limit reached!
% 20.51/3.55 % (2728918)------------------------------
% 20.51/3.55 % (2728918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.51/3.55 % (2728918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728918)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728918)Termination reason: Instruction limit
% 20.51/3.55 % (2728918)Termination phase: Saturation
% 20.51/3.55 % (2728918)Time elapsed: 0.464 s
% 20.51/3.55 % (2728918)Peak memory usage: 16 MB
% 20.51/3.55 % (2728918)Instructions burned: 576 (million)
% 20.51/3.55 % (2728936)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=2052938391:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/122Mi)
% 20.51/3.55 % (2728924)Instruction limit reached!
% 20.51/3.55 % (2728924)------------------------------
% 20.51/3.55 % (2728924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.51/3.55 % (2728924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/3.55 % (2728924)CaDiCaL version: 2.1.3
% 20.51/3.55 % (2728924)Termination reason: Instruction limit
% 20.51/3.55 % (2728924)Termination phase: Saturation
% 20.51/3.55 % (2728924)Time elapsed: 0.348 s
% 20.51/3.55 % (2728924)Peak memory usage: 16 MB
% 20.51/3.55 % (2728924)Instructions burned: 422 (million)
% 22.33/3.81 % (2728932)Instruction limit reached!
% 22.33/3.81 % (2728932)------------------------------
% 22.33/3.81 % (2728932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.81 % (2728932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.81 % (2728932)CaDiCaL version: 2.1.3
% 22.33/3.81 % (2728932)Termination reason: Instruction limit
% 22.33/3.81 % (2728932)Termination phase: Saturation
% 22.33/3.81 % (2728932)Time elapsed: 0.228 s
% 22.33/3.81 % (2728932)Peak memory usage: 14 MB
% 22.33/3.81 % (2728932)Instructions burned: 340 (million)
% 22.33/3.81 % (2728937)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1673911129:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/136Mi)
% 22.33/3.81 % (2728939)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1471849734:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/232Mi)
% 22.33/3.81 % (2728940)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2149489244:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2975 on theBenchmark for (2975ds/1254Mi)
% 22.33/3.81 % (2728936)Instruction limit reached!
% 22.33/3.81 % (2728936)------------------------------
% 22.33/3.81 % (2728936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.81 % (2728936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.81 % (2728936)CaDiCaL version: 2.1.3
% 22.33/3.81 % (2728936)Termination reason: Instruction limit
% 22.33/3.81 % (2728936)Termination phase: Property scanning
% 22.33/3.81 % (2728936)Time elapsed: 0.096 s
% 22.33/3.81 % (2728936)Peak memory usage: 12 MB
% 22.33/3.81 % (2728936)Instructions burned: 123 (million)
% 22.33/3.81 % (2728944)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.33/3.81 % (2728944)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=4108979271:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2974 on theBenchmark for (2974ds/281Mi)
% 22.33/3.81 % (2728937)Instruction limit reached!
% 22.33/3.81 % (2728937)------------------------------
% 22.33/3.81 % (2728937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.81 % (2728937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.81 % (2728937)CaDiCaL version: 2.1.3
% 22.33/3.81 % (2728937)Termination reason: Instruction limit
% 22.33/3.81 % (2728937)Termination phase: Saturation
% 22.33/3.81 % (2728937)Time elapsed: 0.109 s
% 22.33/3.81 % (2728937)Peak memory usage: 13 MB
% 22.33/3.81 % (2728937)Instructions burned: 137 (million)
% 22.33/3.81 % (2728946)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=211168:i=619:add=on:rtra=on_2973 on theBenchmark for (2973ds/619Mi)
% 22.33/3.81 % (2728939)Instruction limit reached!
% 22.33/3.81 % (2728939)------------------------------
% 22.33/3.81 % (2728939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.81 % (2728939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.81 % (2728939)CaDiCaL version: 2.1.3
% 22.33/3.81 % (2728939)Termination reason: Instruction limit
% 22.33/3.81 % (2728939)Termination phase: Saturation
% 22.33/3.81 % (2728939)Time elapsed: 0.195 s
% 22.33/3.81 % (2728939)Peak memory usage: 16 MB
% 22.33/3.81 % (2728939)Instructions burned: 232 (million)
% 22.33/3.81 % (2728948)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=3757168984:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/865Mi)
% 22.33/3.81 % (2728944)Instruction limit reached!
% 22.33/3.81 % (2728944)------------------------------
% 22.33/3.81 % (2728944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.33/3.81 % (2728944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.33/3.81 % (2728944)CaDiCaL version: 2.1.3
% 22.33/3.81 % (2728944)Termination reason: Instruction limit
% 22.33/3.81 % (2728944)Termination phase: Saturation
% 22.33/3.81 % (2728944)Time elapsed: 0.150 s
% 22.33/3.81 % (2728944)Peak memory usage: 14 MB
% 22.33/3.81 % (2728944)Instructions burned: 281 (million)
% 22.33/3.81 % (2728950)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1519697116:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/212Mi)
% 23.25/4.13 % (2728950)Instruction limit reached!
% 23.25/4.13 % (2728950)------------------------------
% 23.25/4.13 % (2728950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728950)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728950)Termination reason: Instruction limit
% 23.25/4.13 % (2728950)Termination phase: Saturation
% 23.25/4.13 % (2728950)Time elapsed: 0.095 s
% 23.25/4.13 % (2728950)Peak memory usage: 14 MB
% 23.25/4.13 % (2728950)Instructions burned: 213 (million)
% 23.25/4.13 % (2728952)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=766642155:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/130Mi)
% 23.25/4.13 % (2728952)Instruction limit reached!
% 23.25/4.13 % (2728952)------------------------------
% 23.25/4.13 % (2728952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728952)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728952)Termination reason: Instruction limit
% 23.25/4.13 % (2728952)Termination phase: Property scanning
% 23.25/4.13 % (2728952)Time elapsed: 0.057 s
% 23.25/4.13 % (2728952)Peak memory usage: 12 MB
% 23.25/4.13 % (2728952)Instructions burned: 130 (million)
% 23.25/4.13 % (2728954)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3937256638:st=1.5:i=346:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/346Mi)
% 23.25/4.13 % (2728954)Instruction limit reached!
% 23.25/4.13 % (2728954)------------------------------
% 23.25/4.13 % (2728954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728954)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728954)Termination reason: Instruction limit
% 23.25/4.13 % (2728954)Termination phase: Saturation
% 23.25/4.13 % (2728954)Time elapsed: 0.154 s
% 23.25/4.13 % (2728954)Peak memory usage: 15 MB
% 23.25/4.13 % (2728954)Instructions burned: 348 (million)
% 23.25/4.13 % (2728946)Instruction limit reached!
% 23.25/4.13 % (2728946)------------------------------
% 23.25/4.13 % (2728946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728946)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728946)Termination reason: Instruction limit
% 23.25/4.13 % (2728946)Termination phase: Saturation
% 23.25/4.13 % (2728946)Time elapsed: 0.483 s
% 23.25/4.13 % (2728946)Peak memory usage: 16 MB
% 23.25/4.13 % (2728946)Instructions burned: 619 (million)
% 23.25/4.13 % (2728956)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3151782412:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/152Mi)
% 23.25/4.13 % (2728957)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=611521091:i=75:ep=R:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/75Mi)
% 23.25/4.13 % (2728957)Instruction limit reached!
% 23.25/4.13 % (2728957)------------------------------
% 23.25/4.13 % (2728957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728957)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728957)Termination reason: Instruction limit
% 23.25/4.13 % (2728957)Termination phase: Property scanning
% 23.25/4.13 % (2728957)Time elapsed: 0.035 s
% 23.25/4.13 % (2728957)Peak memory usage: 11 MB
% 23.25/4.13 % (2728957)Instructions burned: 77 (million)
% 23.25/4.13 % (2728956)Instruction limit reached!
% 23.25/4.13 % (2728956)------------------------------
% 23.25/4.13 % (2728956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.25/4.13 % (2728956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.13 % (2728956)CaDiCaL version: 2.1.3
% 23.25/4.13 % (2728956)Termination reason: Instruction limit
% 23.25/4.13 % (2728956)Termination phase: Saturation
% 23.25/4.13 % (2728956)Time elapsed: 0.069 s
% 23.25/4.13 % (2728956)Peak memory usage: 13 MB
% 23.25/4.13 % (2728956)Instructions burned: 152 (million)
% 23.25/4.13 % (2728960)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1770419492:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/387Mi)
% 23.25/4.13 % (2728962)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=2447004721:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2967 on theBenchmark for (2967ds/148Mi)
% 26.66/4.49 % (2728960)Instruction limit reached!
% 26.66/4.49 % (2728960)------------------------------
% 26.66/4.49 % (2728960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.49 % (2728960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.49 % (2728960)CaDiCaL version: 2.1.3
% 26.66/4.49 % (2728960)Termination reason: Instruction limit
% 26.66/4.49 % (2728960)Termination phase: Saturation
% 26.66/4.49 % (2728960)Time elapsed: 0.157 s
% 26.66/4.49 % (2728960)Peak memory usage: 15 MB
% 26.66/4.49 % (2728960)Instructions burned: 388 (million)
% 26.66/4.49 % (2728962)Instruction limit reached!
% 26.66/4.49 % (2728962)------------------------------
% 26.66/4.49 % (2728962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.49 % (2728962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.49 % (2728962)CaDiCaL version: 2.1.3
% 26.66/4.49 % (2728962)Termination reason: Instruction limit
% 26.66/4.49 % (2728962)Termination phase: Saturation
% 26.66/4.49 % (2728962)Time elapsed: 0.125 s
% 26.66/4.49 % (2728962)Peak memory usage: 14 MB
% 26.66/4.49 % (2728962)Instructions burned: 148 (million)
% 26.66/4.49 % (2728930)Instruction limit reached!
% 26.66/4.49 % (2728930)------------------------------
% 26.66/4.49 % (2728930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.49 % (2728930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.49 % (2728930)CaDiCaL version: 2.1.3
% 26.66/4.49 % (2728930)Termination reason: Instruction limit
% 26.66/4.49 % (2728930)Termination phase: Saturation
% 26.66/4.49 % (2728930)Time elapsed: 1.183 s
% 26.66/4.49 % (2728930)Peak memory usage: 27 MB
% 26.66/4.49 % (2728930)Instructions burned: 1440 (million)
% 26.66/4.49 % (2728948)Instruction limit reached!
% 26.66/4.49 % (2728948)------------------------------
% 26.66/4.49 % (2728948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.49 % (2728948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.50 % (2728948)CaDiCaL version: 2.1.3
% 26.66/4.50 % (2728948)Termination reason: Instruction limit
% 26.66/4.50 % (2728948)Termination phase: Saturation
% 26.66/4.50 % (2728948)Time elapsed: 0.660 s
% 26.66/4.50 % (2728948)Peak memory usage: 23 MB
% 26.66/4.50 % (2728948)Instructions burned: 866 (million)
% 26.66/4.50 % (2728965)lrs+10_1_sil=128000:si=on:random_seed=548633164:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/888Mi)
% 26.66/4.50 % (2728964)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4001538575:i=161:piset=and:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/161Mi)
% 26.66/4.50 % (2728966)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=362731510:i=136:add=on:ins=4:rtra=on:sup=off_2966 on theBenchmark for (2966ds/136Mi)
% 26.66/4.50 % (2728969)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=1547031346:i=88:s2at=3:nm=2:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/88Mi)
% 26.66/4.50 % (2728964)Instruction limit reached!
% 26.66/4.50 % (2728964)------------------------------
% 26.66/4.50 % (2728964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.50 % (2728964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.50 % (2728964)CaDiCaL version: 2.1.3
% 26.66/4.50 % (2728964)Termination reason: Instruction limit
% 26.66/4.50 % (2728964)Termination phase: Saturation
% 26.66/4.50 % (2728964)Time elapsed: 0.073 s
% 26.66/4.50 % (2728964)Peak memory usage: 14 MB
% 26.66/4.50 % (2728964)Instructions burned: 161 (million)
% 26.66/4.50 % (2728972)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3771994777:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2965 on theBenchmark for (2965ds/93Mi)
% 26.66/4.50 % (2728969)Instruction limit reached!
% 26.66/4.50 % (2728969)------------------------------
% 26.66/4.50 % (2728969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.66/4.50 % (2728969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/4.50 % (2728969)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728969)Termination reason: Instruction limit
% 28.13/4.80 % (2728969)Termination phase: Property scanning
% 28.13/4.80 % (2728969)Time elapsed: 0.072 s
% 28.13/4.80 % (2728969)Peak memory usage: 12 MB
% 28.13/4.80 % (2728969)Instructions burned: 88 (million)
% 28.13/4.80 % (2728966)Instruction limit reached!
% 28.13/4.80 % (2728966)------------------------------
% 28.13/4.80 % (2728966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.13/4.80 % (2728966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/4.80 % (2728966)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728966)Termination reason: Instruction limit
% 28.13/4.80 % (2728966)Termination phase: Saturation
% 28.13/4.80 % (2728966)Time elapsed: 0.108 s
% 28.13/4.80 % (2728966)Peak memory usage: 13 MB
% 28.13/4.80 % (2728966)Instructions burned: 136 (million)
% 28.13/4.80 % (2728972)Instruction limit reached!
% 28.13/4.80 % (2728972)------------------------------
% 28.13/4.80 % (2728972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.13/4.80 % (2728972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/4.80 % (2728972)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728972)Termination reason: Instruction limit
% 28.13/4.80 % (2728972)Termination phase: Property scanning
% 28.13/4.80 % (2728972)Time elapsed: 0.049 s
% 28.13/4.80 % (2728972)Peak memory usage: 12 MB
% 28.13/4.80 % (2728972)Instructions burned: 93 (million)
% 28.13/4.80 % (2728974)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1085724804:i=2186:rtra=on:ixr=off_2964 on theBenchmark for (2964ds/2186Mi)
% 28.13/4.80 % (2728975)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2293767306:s2a=on:i=240:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/240Mi)
% 28.13/4.80 % (2728976)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=868730150:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/805Mi)
% 28.13/4.80 % (2728940)Instruction limit reached!
% 28.13/4.80 % (2728940)------------------------------
% 28.13/4.80 % (2728940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.13/4.80 % (2728940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/4.80 % (2728940)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728940)Termination reason: Instruction limit
% 28.13/4.80 % (2728940)Termination phase: Saturation
% 28.13/4.80 % (2728940)Time elapsed: 1.151 s
% 28.13/4.80 % (2728940)Peak memory usage: 23 MB
% 28.13/4.80 % (2728940)Instructions burned: 1254 (million)
% 28.13/4.80 % (2728980)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 28.13/4.80 % (2728980)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=1072923214:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2963 on theBenchmark for (2963ds/391Mi)
% 28.13/4.80 % (2728975)Instruction limit reached!
% 28.13/4.80 % (2728975)------------------------------
% 28.13/4.80 % (2728975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.13/4.80 % (2728975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/4.80 % (2728975)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728975)Termination reason: Instruction limit
% 28.13/4.80 % (2728975)Termination phase: Saturation
% 28.13/4.80 % (2728975)Time elapsed: 0.200 s
% 28.13/4.80 % (2728975)Peak memory usage: 15 MB
% 28.13/4.80 % (2728975)Instructions burned: 240 (million)
% 28.13/4.80 % (2728965)Instruction limit reached!
% 28.13/4.80 % (2728965)------------------------------
% 28.13/4.80 % (2728965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.13/4.80 % (2728965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/4.80 % (2728965)CaDiCaL version: 2.1.3
% 28.13/4.80 % (2728965)Termination reason: Instruction limit
% 28.13/4.80 % (2728965)Termination phase: Saturation
% 28.13/4.80 % (2728965)Time elapsed: 0.408 s
% 28.13/4.80 % (2728965)Peak memory usage: 18 MB
% 28.13/4.80 % (2728965)Instructions burned: 889 (million)
% 28.13/4.80 % (2728982)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1255364271:i=355:av=off:fsr=off:rtra=on:ixr=off_2962 on theBenchmark for (2962ds/355Mi)
% 28.13/4.80 % (2728983)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=718167289:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/314Mi)
% 32.81/5.28 % (2728983)Instruction limit reached!
% 32.81/5.28 % (2728983)------------------------------
% 32.81/5.28 % (2728983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728983)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728983)Termination reason: Instruction limit
% 32.81/5.28 % (2728983)Termination phase: Saturation
% 32.81/5.28 % (2728983)Time elapsed: 0.146 s
% 32.81/5.28 % (2728983)Peak memory usage: 15 MB
% 32.81/5.28 % (2728983)Instructions burned: 315 (million)
% 32.81/5.28 % (2728986)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=735382618:s2a=on:i=251:fsr=off:rtra=on_2960 on theBenchmark for (2960ds/251Mi)
% 32.81/5.28 % (2728980)Instruction limit reached!
% 32.81/5.28 % (2728980)------------------------------
% 32.81/5.28 % (2728980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728980)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728980)Termination reason: Instruction limit
% 32.81/5.28 % (2728980)Termination phase: Saturation
% 32.81/5.28 % (2728980)Time elapsed: 0.318 s
% 32.81/5.28 % (2728980)Peak memory usage: 15 MB
% 32.81/5.28 % (2728980)Instructions burned: 392 (million)
% 32.81/5.28 % (2728988)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2111745751:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2959 on theBenchmark for (2959ds/2470Mi)
% 32.81/5.28 % (2728982)Instruction limit reached!
% 32.81/5.28 % (2728982)------------------------------
% 32.81/5.28 % (2728982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728982)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728982)Termination reason: Instruction limit
% 32.81/5.28 % (2728982)Termination phase: Saturation
% 32.81/5.28 % (2728982)Time elapsed: 0.296 s
% 32.81/5.28 % (2728982)Peak memory usage: 14 MB
% 32.81/5.28 % (2728982)Instructions burned: 356 (million)
% 32.81/5.28 % (2728986)Instruction limit reached!
% 32.81/5.28 % (2728986)------------------------------
% 32.81/5.28 % (2728986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728986)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728986)Termination reason: Instruction limit
% 32.81/5.28 % (2728986)Termination phase: Saturation
% 32.81/5.28 % (2728986)Time elapsed: 0.108 s
% 32.81/5.28 % (2728986)Peak memory usage: 15 MB
% 32.81/5.28 % (2728986)Instructions burned: 252 (million)
% 32.81/5.28 % (2728976)Instruction limit reached!
% 32.81/5.28 % (2728976)------------------------------
% 32.81/5.28 % (2728976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728976)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728976)Termination reason: Instruction limit
% 32.81/5.28 % (2728976)Termination phase: Saturation
% 32.81/5.28 % (2728976)Time elapsed: 0.552 s
% 32.81/5.28 % (2728976)Peak memory usage: 24 MB
% 32.81/5.28 % (2728976)Instructions burned: 805 (million)
% 32.81/5.28 % (2728991)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1606465646:i=116:ep=RSTC:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/116Mi)
% 32.81/5.28 % (2728990)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2539318485:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2958 on theBenchmark for (2958ds/673Mi)
% 32.81/5.28 % (2728992)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=700553239:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2958 on theBenchmark for (2958ds/270Mi)
% 32.81/5.28 % (2728991)Instruction limit reached!
% 32.81/5.28 % (2728991)------------------------------
% 32.81/5.28 % (2728991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.81/5.28 % (2728991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.81/5.28 % (2728991)CaDiCaL version: 2.1.3
% 32.81/5.28 % (2728991)Termination reason: Instruction limit
% 32.81/5.28 % (2728991)Termination phase: Property scanning
% 36.26/5.84 % (2728991)Time elapsed: 0.054 s
% 36.26/5.84 % (2728991)Peak memory usage: 13 MB
% 36.26/5.84 % (2728991)Instructions burned: 117 (million)
% 36.26/5.84 % (2728996)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=2542816813:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2957 on theBenchmark for (2957ds/30Mi)
% 36.26/5.84 % (2728996)Instruction limit reached!
% 36.26/5.84 % (2728996)------------------------------
% 36.26/5.84 % (2728996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.26/5.84 % (2728996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.26/5.84 % (2728996)CaDiCaL version: 2.1.3
% 36.26/5.84 % (2728996)Termination reason: Instruction limit
% 36.26/5.84 % (2728996)Termination phase: shuffling
% 36.26/5.84 % (2728996)Time elapsed: 0.014 s
% 36.26/5.84 % (2728996)Peak memory usage: 11 MB
% 36.26/5.84 % (2728996)Instructions burned: 32 (million)
% 36.26/5.84 % (2728998)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 36.26/5.84 % (2728998)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=395818906:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2957 on theBenchmark for (2957ds/39Mi)
% 36.26/5.84 % (2728998)Instruction limit reached!
% 36.26/5.84 % (2728998)------------------------------
% 36.26/5.84 % (2728998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.26/5.84 % (2728998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.26/5.84 % (2728998)CaDiCaL version: 2.1.3
% 36.26/5.84 % (2728998)Termination reason: Instruction limit
% 36.26/5.84 % (2728998)Termination phase: Property scanning
% 36.26/5.84 % (2728998)Time elapsed: 0.018 s
% 36.26/5.84 % (2728998)Peak memory usage: 11 MB
% 36.26/5.84 % (2728998)Instructions burned: 41 (million)
% 36.26/5.84 % (2729000)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2323214688:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/365Mi)
% 36.26/5.84 % (2728992)Instruction limit reached!
% 36.26/5.84 % (2728992)------------------------------
% 36.26/5.84 % (2728992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.26/5.84 % (2728992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.26/5.84 % (2728992)CaDiCaL version: 2.1.3
% 36.26/5.84 % (2728992)Termination reason: Instruction limit
% 36.26/5.84 % (2728992)Termination phase: Saturation
% 36.26/5.84 % (2728992)Time elapsed: 0.210 s
% 36.26/5.84 % (2728992)Peak memory usage: 15 MB
% 36.26/5.84 % (2728992)Instructions burned: 270 (million)
% 36.26/5.84 % (2729002)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1892154640:i=158:av=off:rtra=on_2956 on theBenchmark for (2956ds/158Mi)
% 36.26/5.84 % (2729000)Instruction limit reached!
% 36.26/5.84 % (2729000)------------------------------
% 36.26/5.84 % (2729000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.26/5.84 % (2729000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.26/5.84 % (2729000)CaDiCaL version: 2.1.3
% 36.26/5.84 % (2729000)Termination reason: Instruction limit
% 36.26/5.84 % (2729000)Termination phase: Saturation
% 36.26/5.84 % (2729000)Time elapsed: 0.171 s
% 36.26/5.84 % (2729000)Peak memory usage: 17 MB
% 36.26/5.84 % (2729000)Instructions burned: 366 (million)
% 36.26/5.84 % (2729002)Instruction limit reached!
% 36.26/5.84 % (2729002)------------------------------
% 36.26/5.84 % (2729002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.26/5.84 % (2729002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.26/5.84 % (2729002)CaDiCaL version: 2.1.3
% 36.26/5.84 % (2729002)Termination reason: Instruction limit
% 36.26/5.84 % (2729002)Termination phase: Saturation
% 36.26/5.84 % (2729002)Time elapsed: 0.078 s
% 36.26/5.84 % (2729002)Peak memory usage: 14 MB
% 36.26/5.84 % (2729002)Instructions burned: 160 (million)
% 36.26/5.84 % (2729004)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.26/5.84 % (2729004)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1018057661:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/252Mi)
% 36.92/6.14 % (2729005)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3223770612:i=213:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/213Mi)
% 36.92/6.14 % (2729004)Refutation not found, incomplete strategy
% 36.92/6.14 % (2729004)------------------------------
% 36.92/6.14 % (2729004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.92/6.14 % (2729004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.92/6.14 % (2729004)CaDiCaL version: 2.1.3
% 36.92/6.14 % (2729004)Termination reason: Refutation not found, incomplete strategy
% 36.92/6.14 % (2729004)Time elapsed: 0.106 s
% 36.92/6.14 % (2729004)Peak memory usage: 15 MB
% 36.92/6.14 % (2729004)Instructions burned: 246 (million)
% 36.92/6.14 % (2729004)------------------------------
% 36.92/6.14 % (2729004)------------------------------
% 36.92/6.14 % (2729008)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=1447938256:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2953 on theBenchmark for (2953ds/160Mi)
% 36.92/6.14 % (2729005)Instruction limit reached!
% 36.92/6.14 % (2729005)------------------------------
% 36.92/6.14 % (2729005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.92/6.14 % (2729005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.92/6.14 % (2729005)CaDiCaL version: 2.1.3
% 36.92/6.14 % (2729005)Termination reason: Instruction limit
% 36.92/6.14 % (2729005)Termination phase: Saturation
% 36.92/6.14 % (2729005)Time elapsed: 0.177 s
% 36.92/6.14 % (2729005)Peak memory usage: 14 MB
% 36.92/6.14 % (2729005)Instructions burned: 213 (million)
% 36.92/6.14 % (2728990)Instruction limit reached!
% 36.92/6.14 % (2728990)------------------------------
% 36.92/6.14 % (2728990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.92/6.14 % (2728990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.92/6.14 % (2728990)CaDiCaL version: 2.1.3
% 36.92/6.14 % (2728990)Termination reason: Instruction limit
% 36.92/6.14 % (2728990)Termination phase: Saturation
% 36.92/6.14 % (2728990)Time elapsed: 0.562 s
% 36.92/6.14 % (2728990)Peak memory usage: 15 MB
% 36.92/6.14 % (2728990)Instructions burned: 674 (million)
% 36.92/6.15 % (2729010)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2802560209:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2952 on theBenchmark for (2952ds/763Mi)
% 36.92/6.15 % (2729008)Instruction limit reached!
% 36.92/6.15 % (2729008)------------------------------
% 36.92/6.15 % (2729008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.92/6.15 % (2729008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.92/6.15 % (2729008)CaDiCaL version: 2.1.3
% 36.92/6.15 % (2729008)Termination reason: Instruction limit
% 36.92/6.15 % (2729008)Termination phase: Property scanning
% 36.92/6.15 % (2729008)Time elapsed: 0.102 s
% 36.92/6.15 % (2729008)Peak memory usage: 13 MB
% 36.92/6.15 % (2729008)Instructions burned: 160 (million)
% 36.92/6.15 % (2729011)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 36.92/6.15 % (2729011)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1917394376:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2952 on theBenchmark for (2952ds/237Mi)
% 36.92/6.15 % (2729013)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3873095309:s2a=on:i=386:rtra=on:ntd=on_2952 on theBenchmark for (2952ds/386Mi)
% 36.92/6.15 % (2729011)Instruction limit reached!
% 36.92/6.15 % (2729011)------------------------------
% 36.92/6.15 % (2729011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.92/6.15 % (2729011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.92/6.15 % (2729011)CaDiCaL version: 2.1.3
% 36.92/6.15 % (2729011)Termination reason: Instruction limit
% 36.92/6.15 % (2729011)Termination phase: Saturation
% 36.92/6.15 % (2729011)Time elapsed: 0.192 s
% 36.92/6.15 % (2729011)Peak memory usage: 15 MB
% 36.92/6.15 % (2729011)Instructions burned: 238 (million)
% 36.92/6.15 % (2729016)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1708527591:i=300:piset=and:nm=32:rtra=on_2950 on theBenchmark for (2950ds/300Mi)
% 39.37/6.34 % (2729013)Instruction limit reached!
% 39.37/6.34 % (2729013)------------------------------
% 39.37/6.34 % (2729013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2729013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2729013)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2729013)Termination reason: Instruction limit
% 39.37/6.34 % (2729013)Termination phase: Saturation
% 39.37/6.34 % (2729013)Time elapsed: 0.235 s
% 39.37/6.34 % (2729013)Peak memory usage: 14 MB
% 39.37/6.34 % (2729013)Instructions burned: 388 (million)
% 39.37/6.34 % (2729018)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3563866481:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/567Mi)
% 39.37/6.34 % (2729016)Instruction limit reached!
% 39.37/6.34 % (2729016)------------------------------
% 39.37/6.34 % (2729016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2729016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2729016)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2729016)Termination reason: Instruction limit
% 39.37/6.34 % (2729016)Termination phase: Saturation
% 39.37/6.34 % (2729016)Time elapsed: 0.143 s
% 39.37/6.34 % (2729016)Peak memory usage: 15 MB
% 39.37/6.34 % (2729016)Instructions burned: 301 (million)
% 39.37/6.34 % (2729020)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1775945370:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2948 on theBenchmark for (2948ds/379Mi)
% 39.37/6.34 % (2729020)Instruction limit reached!
% 39.37/6.34 % (2729020)------------------------------
% 39.37/6.34 % (2729020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2729020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2729020)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2729020)Termination reason: Instruction limit
% 39.37/6.34 % (2729020)Termination phase: Saturation
% 39.37/6.34 % (2729020)Time elapsed: 0.191 s
% 39.37/6.34 % (2729020)Peak memory usage: 16 MB
% 39.37/6.34 % (2729020)Instructions burned: 380 (million)
% 39.37/6.34 % (2729022)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2494921988:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2946 on theBenchmark for (2946ds/429Mi)
% 39.37/6.34 % (2728974)Instruction limit reached!
% 39.37/6.34 % (2728974)------------------------------
% 39.37/6.34 % (2728974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2728974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2728974)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2728974)Termination reason: Instruction limit
% 39.37/6.34 % (2728974)Termination phase: Saturation
% 39.37/6.34 % (2728974)Time elapsed: 1.881 s
% 39.37/6.34 % (2728974)Peak memory usage: 23 MB
% 39.37/6.34 % (2728974)Instructions burned: 2186 (million)
% 39.37/6.34 % (2729010)Instruction limit reached!
% 39.37/6.34 % (2729010)------------------------------
% 39.37/6.34 % (2729010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2729010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2729010)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2729010)Termination reason: Instruction limit
% 39.37/6.34 % (2729010)Termination phase: Saturation
% 39.37/6.34 % (2729010)Time elapsed: 0.703 s
% 39.37/6.34 % (2729010)Peak memory usage: 20 MB
% 39.37/6.34 % (2729010)Instructions burned: 763 (million)
% 39.37/6.34 % (2729018)Instruction limit reached!
% 39.37/6.34 % (2729018)------------------------------
% 39.37/6.34 % (2729018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.37/6.34 % (2729018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.37/6.34 % (2729018)CaDiCaL version: 2.1.3
% 39.37/6.34 % (2729018)Termination reason: Instruction limit
% 39.37/6.34 % (2729018)Termination phase: Saturation
% 39.37/6.34 % (2729018)Time elapsed: 0.438 s
% 39.37/6.34 % (2729018)Peak memory usage: 15 MB
% 39.37/6.34 % (2729018)Instructions burned: 568 (million)
% 39.37/6.34 % (2729024)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3584578706:i=478:bd=all:rtra=on_2945 on theBenchmark for (2945ds/478Mi)
% 39.37/6.34 % (2729025)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2796477580:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2945 on theBenchmark for (2945ds/445Mi)
% 39.37/6.34 % (2729026)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1623552695:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2945 on theBenchmark for (2945ds/71Mi)
% 40.57/6.64 % (2729026)Instruction limit reached!
% 40.57/6.64 % (2729026)------------------------------
% 40.57/6.64 % (2729026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2729026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.64 % (2729026)CaDiCaL version: 2.1.3
% 40.57/6.64 % (2729026)Termination reason: Instruction limit
% 40.57/6.64 % (2729026)Termination phase: Property scanning
% 40.57/6.64 % (2729026)Time elapsed: 0.029 s
% 40.57/6.64 % (2729026)Peak memory usage: 11 MB
% 40.57/6.64 % (2729026)Instructions burned: 71 (million)
% 40.57/6.64 % (2729030)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1635442401:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/302Mi)
% 40.57/6.64 % (2729022)Instruction limit reached!
% 40.57/6.64 % (2729022)------------------------------
% 40.57/6.64 % (2729022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2729022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.64 % (2729022)CaDiCaL version: 2.1.3
% 40.57/6.64 % (2729022)Termination reason: Instruction limit
% 40.57/6.64 % (2729022)Termination phase: Saturation
% 40.57/6.64 % (2729022)Time elapsed: 0.355 s
% 40.57/6.64 % (2729022)Peak memory usage: 16 MB
% 40.57/6.64 % (2729022)Instructions burned: 429 (million)
% 40.57/6.64 % (2728889)Instruction limit reached!
% 40.57/6.64 % (2728889)------------------------------
% 40.57/6.64 % (2728889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2728889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.64 % (2728889)CaDiCaL version: 2.1.3
% 40.57/6.64 % (2728889)Termination reason: Instruction limit
% 40.57/6.64 % (2728889)Termination phase: Saturation
% 40.57/6.64 % (2728889)Time elapsed: 4.199 s
% 40.57/6.64 % (2728889)Peak memory usage: 49 MB
% 40.57/6.64 % (2728889)Instructions burned: 5755 (million)
% 40.57/6.64 % (2729032)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3529263735:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2942 on theBenchmark for (2942ds/4980Mi)
% 40.57/6.64 % (2729033)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
% 40.57/6.64 % (2729033)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 40.57/6.64 % (2729033)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=948330626:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2942 on theBenchmark for (2942ds/100Mi)
% 40.57/6.64 % (2729030)Instruction limit reached!
% 40.57/6.64 % (2729030)------------------------------
% 40.57/6.64 % (2729030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2729030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.64 % (2729030)CaDiCaL version: 2.1.3
% 40.57/6.64 % (2729030)Termination reason: Instruction limit
% 40.57/6.64 % (2729030)Termination phase: Saturation
% 40.57/6.64 % (2729030)Time elapsed: 0.168 s
% 40.57/6.64 % (2729030)Peak memory usage: 16 MB
% 40.57/6.64 % (2729030)Instructions burned: 302 (million)
% 40.57/6.64 % (2729036)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=3280684590:i=76:piset=equals:rtra=on:ntd=on_2942 on theBenchmark for (2942ds/76Mi)
% 40.57/6.64 % (2729033)Instruction limit reached!
% 40.57/6.64 % (2729033)------------------------------
% 40.57/6.64 % (2729033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2729033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.57/6.64 % (2729033)CaDiCaL version: 2.1.3
% 40.57/6.64 % (2729033)Termination reason: Instruction limit
% 40.57/6.64 % (2729033)Termination phase: Twee Goal Transformation
% 40.57/6.64 % (2729033)Time elapsed: 0.079 s
% 40.57/6.64 % (2729033)Peak memory usage: 11 MB
% 40.57/6.64 % (2729033)Instructions burned: 101 (million)
% 40.57/6.64 % (2729036)Instruction limit reached!
% 40.57/6.64 % (2729036)------------------------------
% 40.57/6.64 % (2729036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.57/6.64 % (2729036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.39/6.97 % (2729036)CaDiCaL version: 2.1.3
% 41.39/6.97 % (2729036)Termination reason: Instruction limit
% 41.39/6.97 % (2729036)Termination phase: Property scanning
% 41.39/6.97 % (2729036)Time elapsed: 0.057 s
% 41.39/6.97 % (2729036)Peak memory usage: 11 MB
% 41.39/6.97 % (2729036)Instructions burned: 80 (million)
% 41.39/6.97 % (2729025)Instruction limit reached!
% 41.39/6.97 % (2729025)------------------------------
% 41.39/6.97 % (2729025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.39/6.97 % (2729025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.39/6.97 % (2729025)CaDiCaL version: 2.1.3
% 41.39/6.97 % (2729025)Termination reason: Instruction limit
% 41.39/6.97 % (2729025)Termination phase: Saturation
% 41.39/6.97 % (2729025)Time elapsed: 0.336 s
% 41.39/6.97 % (2729025)Peak memory usage: 15 MB
% 41.39/6.97 % (2729025)Instructions burned: 446 (million)
% 41.39/6.97 % (2729039)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=2548272435:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2941 on theBenchmark for (2941ds/493Mi)
% 41.39/6.97 % (2729038)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1647513399:i=289:rtra=on_2941 on theBenchmark for (2941ds/289Mi)
% 41.39/6.97 % (2729040)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=312647416:cond=on:i=34:hud=10:nm=10:rtra=on_2941 on theBenchmark for (2941ds/34Mi)
% 41.39/6.97 % (2729040)Instruction limit reached!
% 41.39/6.97 % (2729040)------------------------------
% 41.39/6.97 % (2729040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.39/6.97 % (2729040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.39/6.97 % (2729040)CaDiCaL version: 2.1.3
% 41.39/6.97 % (2729040)Termination reason: Instruction limit
% 41.39/6.97 % (2729040)Termination phase: shuffling
% 41.39/6.97 % (2729040)Time elapsed: 0.029 s
% 41.39/6.97 % (2729040)Peak memory usage: 11 MB
% 41.39/6.97 % (2729040)Instructions burned: 34 (million)
% 41.39/6.97 % (2729024)Instruction limit reached!
% 41.39/6.97 % (2729024)------------------------------
% 41.39/6.97 % (2729024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.39/6.97 % (2729024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.39/6.97 % (2729024)CaDiCaL version: 2.1.3
% 41.39/6.97 % (2729024)Termination reason: Instruction limit
% 41.39/6.97 % (2729024)Termination phase: Saturation
% 41.39/6.97 % (2729024)Time elapsed: 0.442 s
% 41.39/6.97 % (2729024)Peak memory usage: 17 MB
% 41.39/6.97 % (2729024)Instructions burned: 478 (million)
% 41.39/6.97 % (2729044)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 41.39/6.97 % (2729044)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=276779533:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2940 on theBenchmark for (2940ds/372Mi)
% 41.39/6.97 % (2729032)Refutation not found, incomplete strategy
% 41.39/6.97 % (2729032)------------------------------
% 41.39/6.97 % (2729032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.39/6.97 % (2729032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.39/6.97 % (2729032)CaDiCaL version: 2.1.3
% 41.39/6.97 % (2729032)Termination reason: Refutation not found, incomplete strategy
% 41.39/6.97 % (2729032)Time elapsed: 0.222 s
% 41.39/6.97 % (2729032)Peak memory usage: 15 MB
% 41.39/6.97 % (2729032)Instructions burned: 268 (million)
% 41.39/6.97 % (2729032)------------------------------
% 41.39/6.97 % (2729032)------------------------------
% 41.39/6.97 % (2729045)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2876989614:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2940 on theBenchmark for (2940ds/670Mi)
% 41.39/6.97 % (2729047)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1694081752:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2940 on theBenchmark for (2940ds/647Mi)
% 41.39/6.97 % (2729038)Refutation not found, incomplete strategy
% 41.39/6.97 % (2729038)------------------------------
% 41.39/6.97 % (2729038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2729038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2729038)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2729038)Termination reason: Refutation not found, incomplete strategy
% 46.45/7.37 % (2729038)Time elapsed: 0.168 s
% 46.45/7.37 % (2729038)Peak memory usage: 14 MB
% 46.45/7.37 % (2729038)Instructions burned: 207 (million)
% 46.45/7.37 % (2729038)------------------------------
% 46.45/7.37 % (2729038)------------------------------
% 46.45/7.37 % (2729050)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=2492492939:i=857:add=off:kws=frequency:rtra=on:ntd=on_2939 on theBenchmark for (2939ds/857Mi)
% 46.45/7.37 % (2728988)Instruction limit reached!
% 46.45/7.37 % (2728988)------------------------------
% 46.45/7.37 % (2728988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2728988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2728988)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2728988)Termination reason: Instruction limit
% 46.45/7.37 % (2728988)Termination phase: Saturation
% 46.45/7.37 % (2728988)Time elapsed: 2.077 s
% 46.45/7.37 % (2728988)Peak memory usage: 21 MB
% 46.45/7.37 % (2728988)Instructions burned: 2470 (million)
% 46.45/7.37 % (2729052)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=4088960158:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2938 on theBenchmark for (2938ds/693Mi)
% 46.45/7.37 % (2729039)Instruction limit reached!
% 46.45/7.37 % (2729039)------------------------------
% 46.45/7.37 % (2729039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2729039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2729039)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2729039)Termination reason: Instruction limit
% 46.45/7.37 % (2729039)Termination phase: Saturation
% 46.45/7.37 % (2729039)Time elapsed: 0.299 s
% 46.45/7.37 % (2729039)Peak memory usage: 15 MB
% 46.45/7.37 % (2729039)Instructions burned: 494 (million)
% 46.45/7.37 % (2729054)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=512009080:i=285:hud=10:bd=all:rtra=on:ss=axioms_2938 on theBenchmark for (2938ds/285Mi)
% 46.45/7.37 % (2729044)Instruction limit reached!
% 46.45/7.37 % (2729044)------------------------------
% 46.45/7.37 % (2729044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2729044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2729044)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2729044)Termination reason: Instruction limit
% 46.45/7.37 % (2729044)Termination phase: Saturation
% 46.45/7.37 % (2729044)Time elapsed: 0.305 s
% 46.45/7.37 % (2729044)Peak memory usage: 14 MB
% 46.45/7.37 % (2729044)Instructions burned: 372 (million)
% 46.45/7.37 % (2729056)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 46.45/7.37 % (2729056)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=2614519212:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2937 on theBenchmark for (2937ds/52Mi)
% 46.45/7.37 % (2729054)Instruction limit reached!
% 46.45/7.37 % (2729054)------------------------------
% 46.45/7.37 % (2729054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2729054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2729054)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2729054)Termination reason: Instruction limit
% 46.45/7.37 % (2729054)Termination phase: Saturation
% 46.45/7.37 % (2729054)Time elapsed: 0.126 s
% 46.45/7.37 % (2729054)Peak memory usage: 17 MB
% 46.45/7.37 % (2729054)Instructions burned: 285 (million)
% 46.45/7.37 % (2729056)Instruction limit reached!
% 46.45/7.37 % (2729056)------------------------------
% 46.45/7.37 % (2729056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.45/7.37 % (2729056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.45/7.37 % (2729056)CaDiCaL version: 2.1.3
% 46.45/7.37 % (2729056)Termination reason: Instruction limit
% 46.45/7.37 % (2729056)Termination phase: Property scanning
% 46.45/7.37 % (2729056)Time elapsed: 0.024 s
% 46.45/7.37 % (2729056)Peak memory usage: 11 MB
% 46.45/7.37 % (2729056)Instructions burned: 53 (million)
% 46.45/7.37 % (2729058)dis+10_1_si=on:random_seed=3818285673:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2936 on theBenchmark for (2936ds/407Mi)
% 49.02/7.82 % (2729060)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=792989015:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2936 on theBenchmark for (2936ds/2240Mi)
% 49.02/7.82 % (2729050)Refutation not found, incomplete strategy
% 49.02/7.82 % (2729050)------------------------------
% 49.02/7.82 % (2729050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729050)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729050)Termination reason: Refutation not found, incomplete strategy
% 49.02/7.82 % (2729050)Time elapsed: 0.285 s
% 49.02/7.82 % (2729050)Peak memory usage: 15 MB
% 49.02/7.82 % (2729050)Instructions burned: 363 (million)
% 49.02/7.82 % (2729050)------------------------------
% 49.02/7.82 % (2729050)------------------------------
% 49.02/7.82 % (2729062)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=4104552244:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2936 on theBenchmark for (2936ds/336Mi)
% 49.02/7.82 % (2729045)Instruction limit reached!
% 49.02/7.82 % (2729045)------------------------------
% 49.02/7.82 % (2729045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729045)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729045)Termination reason: Instruction limit
% 49.02/7.82 % (2729045)Termination phase: Saturation
% 49.02/7.82 % (2729045)Time elapsed: 0.564 s
% 49.02/7.82 % (2729045)Peak memory usage: 21 MB
% 49.02/7.82 % (2729045)Instructions burned: 670 (million)
% 49.02/7.82 % (2729047)Instruction limit reached!
% 49.02/7.82 % (2729047)------------------------------
% 49.02/7.82 % (2729047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729047)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729047)Termination reason: Instruction limit
% 49.02/7.82 % (2729047)Termination phase: Saturation
% 49.02/7.82 % (2729047)Time elapsed: 0.580 s
% 49.02/7.82 % (2729047)Peak memory usage: 20 MB
% 49.02/7.82 % (2729047)Instructions burned: 647 (million)
% 49.02/7.82 % (2729062)Instruction limit reached!
% 49.02/7.82 % (2729062)------------------------------
% 49.02/7.82 % (2729062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729062)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729062)Termination reason: Instruction limit
% 49.02/7.82 % (2729062)Termination phase: Saturation
% 49.02/7.82 % (2729062)Time elapsed: 0.222 s
% 49.02/7.82 % (2729062)Peak memory usage: 16 MB
% 49.02/7.82 % (2729062)Instructions burned: 336 (million)
% 49.02/7.82 % (2729064)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=540726371:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2933 on theBenchmark for (2933ds/1142Mi)
% 49.02/7.82 % (2729065)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3578387808:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2933 on theBenchmark for (2933ds/376Mi)
% 49.02/7.82 % (2729058)Instruction limit reached!
% 49.02/7.82 % (2729058)------------------------------
% 49.02/7.82 % (2729058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729058)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729058)Termination reason: Instruction limit
% 49.02/7.82 % (2729058)Termination phase: Saturation
% 49.02/7.82 % (2729058)Time elapsed: 0.315 s
% 49.02/7.82 % (2729058)Peak memory usage: 16 MB
% 49.02/7.82 % (2729058)Instructions burned: 407 (million)
% 49.02/7.82 % (2729052)Instruction limit reached!
% 49.02/7.82 % (2729052)------------------------------
% 49.02/7.82 % (2729052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.02/7.82 % (2729052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.02/7.82 % (2729052)CaDiCaL version: 2.1.3
% 49.02/7.82 % (2729052)Termination reason: Instruction limit
% 49.02/7.82 % (2729052)Termination phase: Saturation
% 49.02/7.82 % (2729052)Time elapsed: 0.501 s
% 49.02/7.82 % (2729052)Peak memory usage: 20 MB
% 49.02/7.82 % (2729052)Instructions burned: 694 (million)
% 49.02/7.82 % (2729066)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2395534012:i=766:bd=all:rtra=on_2933 on theBenchmark for (2933ds/766Mi)
% 50.44/8.06 % (2729069)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 50.44/8.06 % (2729069)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3379484173:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2933 on theBenchmark for (2933ds/959Mi)
% 50.44/8.06 % (2729070)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=3827542808:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2933 on theBenchmark for (2933ds/6359Mi)
% 50.44/8.06 % (2729064)Refutation not found, incomplete strategy
% 50.44/8.06 % (2729064)------------------------------
% 50.44/8.06 % (2729064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.44/8.06 % (2729064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.44/8.06 % (2729064)CaDiCaL version: 2.1.3
% 50.44/8.06 % (2729064)Termination reason: Refutation not found, incomplete strategy
% 50.44/8.06 % (2729064)Time elapsed: 0.217 s
% 50.44/8.06 % (2729064)Peak memory usage: 16 MB
% 50.44/8.06 % (2729064)Instructions burned: 260 (million)
% 50.44/8.06 % (2729064)------------------------------
% 50.44/8.06 % (2729064)------------------------------
% 50.44/8.06 % (2729074)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1442526374:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2931 on theBenchmark for (2931ds/35Mi)
% 50.44/8.06 % (2729074)Instruction limit reached!
% 50.44/8.06 % (2729074)------------------------------
% 50.44/8.06 % (2729074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.44/8.06 % (2729074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.44/8.06 % (2729074)CaDiCaL version: 2.1.3
% 50.44/8.06 % (2729074)Termination reason: Instruction limit
% 50.44/8.06 % (2729074)Termination phase: Property scanning
% 50.44/8.06 % (2729074)Time elapsed: 0.019 s
% 50.44/8.06 % (2729074)Peak memory usage: 11 MB
% 50.44/8.06 % (2729074)Instructions burned: 35 (million)
% 50.44/8.06 % (2729076)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=608544882:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2930 on theBenchmark for (2930ds/53Mi)
% 50.44/8.06 % (2729076)Instruction limit reached!
% 50.44/8.06 % (2729076)------------------------------
% 50.44/8.06 % (2729076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.44/8.06 % (2729076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.44/8.06 % (2729076)CaDiCaL version: 2.1.3
% 50.44/8.06 % (2729076)Termination reason: Instruction limit
% 50.44/8.06 % (2729076)Termination phase: Property scanning
% 50.44/8.06 % (2729076)Time elapsed: 0.028 s
% 50.44/8.06 % (2729076)Peak memory usage: 11 MB
% 50.44/8.06 % (2729076)Instructions burned: 53 (million)
% 50.44/8.06 % (2729065)Instruction limit reached!
% 50.44/8.06 % (2729065)------------------------------
% 50.44/8.06 % (2729065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.44/8.06 % (2729065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.44/8.06 % (2729065)CaDiCaL version: 2.1.3
% 50.44/8.06 % (2729065)Termination reason: Instruction limit
% 50.44/8.06 % (2729065)Termination phase: Saturation
% 50.44/8.06 % (2729065)Time elapsed: 0.318 s
% 50.44/8.06 % (2729065)Peak memory usage: 15 MB
% 50.44/8.06 % (2729065)Instructions burned: 376 (million)
% 50.44/8.06 % (2729078)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=464453661:s2a=on:i=876:s2at=6:nm=2:rtra=on_2930 on theBenchmark for (2930ds/876Mi)
% 50.44/8.06 % (2729079)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=982884594:i=57:ep=R:rtra=on:ntd=on_2930 on theBenchmark for (2930ds/57Mi)
% 50.44/8.06 % (2729079)Instruction limit reached!
% 50.44/8.06 % (2729079)------------------------------
% 50.44/8.06 % (2729079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.44/8.06 % (2729079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.44/8.06 % (2729079)CaDiCaL version: 2.1.3
% 50.44/8.06 % (2729079)Termination reason: Instruction limit
% 52.49/8.29 % (2729079)Termination phase: Property scanning
% 52.49/8.29 % (2729079)Time elapsed: 0.032 s
% 52.49/8.29 % (2729079)Peak memory usage: 11 MB
% 52.49/8.29 % (2729079)Instructions burned: 59 (million)
% 52.49/8.29 % (2729082)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 52.49/8.29 % (2729082)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2342636159:i=306:bd=all:rtra=on_2929 on theBenchmark for (2929ds/306Mi)
% 52.49/8.29 % (2729069)Instruction limit reached!
% 52.49/8.29 % (2729069)------------------------------
% 52.49/8.29 % (2729069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.49/8.29 % (2729069)CaDiCaL version: 2.1.3
% 52.49/8.29 % (2729069)Termination reason: Instruction limit
% 52.49/8.29 % (2729069)Termination phase: Saturation
% 52.49/8.29 % (2729069)Time elapsed: 0.418 s
% 52.49/8.29 % (2729069)Peak memory usage: 18 MB
% 52.49/8.29 % (2729069)Instructions burned: 960 (million)
% 52.49/8.29 % (2729084)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1540203241:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2928 on theBenchmark for (2928ds/262Mi)
% 52.49/8.29 % (2729084)Instruction limit reached!
% 52.49/8.29 % (2729084)------------------------------
% 52.49/8.29 % (2729084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.49/8.29 % (2729084)CaDiCaL version: 2.1.3
% 52.49/8.29 % (2729084)Termination reason: Instruction limit
% 52.49/8.29 % (2729084)Termination phase: Saturation
% 52.49/8.29 % (2729084)Time elapsed: 0.121 s
% 52.49/8.29 % (2729084)Peak memory usage: 15 MB
% 52.49/8.29 % (2729084)Instructions burned: 264 (million)
% 52.49/8.29 % (2729086)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 52.49/8.29 % (2729086)ott+1002_16_sil=128000:si=on:random_seed=666142205:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2927 on theBenchmark for (2927ds/409Mi)
% 52.49/8.29 % (2729082)Instruction limit reached!
% 52.49/8.29 % (2729082)------------------------------
% 52.49/8.29 % (2729082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.49/8.29 % (2729082)CaDiCaL version: 2.1.3
% 52.49/8.29 % (2729082)Termination reason: Instruction limit
% 52.49/8.29 % (2729082)Termination phase: Saturation
% 52.49/8.29 % (2729082)Time elapsed: 0.208 s
% 52.49/8.29 % (2729082)Peak memory usage: 15 MB
% 52.49/8.29 % (2729082)Instructions burned: 306 (million)
% 52.49/8.29 % (2729088)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=689100903:s2a=on:i=381:rtra=on_2926 on theBenchmark for (2926ds/381Mi)
% 52.49/8.29 % (2729066)Instruction limit reached!
% 52.49/8.29 % (2729066)------------------------------
% 52.49/8.29 % (2729066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.49/8.29 % (2729066)CaDiCaL version: 2.1.3
% 52.49/8.29 % (2729066)Termination reason: Instruction limit
% 52.49/8.29 % (2729066)Termination phase: Saturation
% 52.49/8.29 % (2729066)Time elapsed: 0.656 s
% 52.49/8.29 % (2729066)Peak memory usage: 17 MB
% 52.49/8.29 % (2729066)Instructions burned: 766 (million)
% 52.49/8.29 % (2729090)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4240039664:cond=on:i=324:rtra=on:ntd=on_2926 on theBenchmark for (2926ds/324Mi)
% 52.49/8.29 % (2729088)Instruction limit reached!
% 52.49/8.29 % (2729088)------------------------------
% 52.49/8.29 % (2729088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.49/8.29 % (2729088)CaDiCaL version: 2.1.3
% 52.49/8.29 % (2729088)Termination reason: Instruction limit
% 52.49/8.29 % (2729088)Termination phase: Saturation
% 52.49/8.29 % (2729088)Time elapsed: 0.165 s
% 52.49/8.29 % (2729088)Peak memory usage: 15 MB
% 52.49/8.29 % (2729088)Instructions burned: 383 (million)
% 52.49/8.29 % (2729090)Instruction limit reached!
% 52.49/8.29 % (2729090)------------------------------
% 52.49/8.29 % (2729090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.49/8.29 % (2729090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729090)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729090)Termination reason: Instruction limit
% 53.89/8.65 % (2729090)Termination phase: Saturation
% 53.89/8.65 % (2729090)Time elapsed: 0.160 s
% 53.89/8.65 % (2729090)Peak memory usage: 17 MB
% 53.89/8.65 % (2729090)Instructions burned: 327 (million)
% 53.89/8.65 % (2729092)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=60931186:i=240:kws=inv_precedence:rtra=on_2924 on theBenchmark for (2924ds/240Mi)
% 53.89/8.65 % (2729094)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 53.89/8.65 % (2729094)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3142173682:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2924 on theBenchmark for (2924ds/124Mi)
% 53.89/8.65 % (2729086)Instruction limit reached!
% 53.89/8.65 % (2729086)------------------------------
% 53.89/8.65 % (2729086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.89/8.65 % (2729086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729086)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729086)Termination reason: Instruction limit
% 53.89/8.65 % (2729086)Termination phase: Saturation
% 53.89/8.65 % (2729086)Time elapsed: 0.329 s
% 53.89/8.65 % (2729086)Peak memory usage: 16 MB
% 53.89/8.65 % (2729086)Instructions burned: 410 (million)
% 53.89/8.65 % (2729092)Instruction limit reached!
% 53.89/8.65 % (2729092)------------------------------
% 53.89/8.65 % (2729092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.89/8.65 % (2729092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729092)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729092)Termination reason: Instruction limit
% 53.89/8.65 % (2729092)Termination phase: Saturation
% 53.89/8.65 % (2729092)Time elapsed: 0.102 s
% 53.89/8.65 % (2729092)Peak memory usage: 15 MB
% 53.89/8.65 % (2729092)Instructions burned: 241 (million)
% 53.89/8.65 % (2729097)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=178546990:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2923 on theBenchmark for (2923ds/282Mi)
% 53.89/8.65 % (2729094)Instruction limit reached!
% 53.89/8.65 % (2729094)------------------------------
% 53.89/8.65 % (2729094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.89/8.65 % (2729094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729094)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729094)Termination reason: Instruction limit
% 53.89/8.65 % (2729094)Termination phase: Property scanning
% 53.89/8.65 % (2729094)Time elapsed: 0.100 s
% 53.89/8.65 % (2729094)Peak memory usage: 12 MB
% 53.89/8.65 % (2729094)Instructions burned: 124 (million)
% 53.89/8.65 % (2729096)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2444614367:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2923 on theBenchmark for (2923ds/223Mi)
% 53.89/8.65 % (2729099)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2334721861:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2923 on theBenchmark for (2923ds/464Mi)
% 53.89/8.65 % (2729078)Instruction limit reached!
% 53.89/8.65 % (2729078)------------------------------
% 53.89/8.65 % (2729078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.89/8.65 % (2729078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729078)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729078)Termination reason: Instruction limit
% 53.89/8.65 % (2729078)Termination phase: Saturation
% 53.89/8.65 % (2729078)Time elapsed: 0.741 s
% 53.89/8.65 % (2729078)Peak memory usage: 20 MB
% 53.89/8.65 % (2729078)Instructions burned: 877 (million)
% 53.89/8.65 % (2729060)Instruction limit reached!
% 53.89/8.65 % (2729060)------------------------------
% 53.89/8.65 % (2729060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.89/8.65 % (2729060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.89/8.65 % (2729060)CaDiCaL version: 2.1.3
% 53.89/8.65 % (2729060)Termination reason: Instruction limit
% 53.89/8.65 % (2729060)Termination phase: Saturation
% 53.89/8.65 % (2729060)Time elapsed: 1.393 s
% 53.89/8.65 % (2729060)Peak memory usage: 26 MB
% 53.89/8.65 % (2729060)Instructions burned: 2241 (million)
% 53.89/8.65 % (2729102)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=2476037388:i=88:s2at=3:nm=2:rtra=on:rawr=on_2922 on theBenchmark for (2922ds/88Mi)
% 59.96/9.29 % (2729104)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=910209811:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2922 on theBenchmark for (2922ds/280Mi)
% 59.96/9.29 % (2729102)Instruction limit reached!
% 59.96/9.29 % (2729102)------------------------------
% 59.96/9.29 % (2729102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.96/9.29 % (2729102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.96/9.29 % (2729102)CaDiCaL version: 2.1.3
% 59.96/9.29 % (2729102)Termination reason: Instruction limit
% 59.96/9.29 % (2729102)Termination phase: Property scanning
% 59.96/9.29 % (2729102)Time elapsed: 0.071 s
% 59.96/9.29 % (2729102)Peak memory usage: 12 MB
% 59.96/9.29 % (2729102)Instructions burned: 88 (million)
% 59.96/9.29 % (2729096)Instruction limit reached!
% 59.96/9.29 % (2729096)------------------------------
% 59.96/9.29 % (2729096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.96/9.29 % (2729096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.96/9.29 % (2729096)CaDiCaL version: 2.1.3
% 59.96/9.29 % (2729096)Termination reason: Instruction limit
% 59.96/9.29 % (2729096)Termination phase: Saturation
% 59.96/9.29 % (2729096)Time elapsed: 0.190 s
% 59.96/9.29 % (2729096)Peak memory usage: 15 MB
% 59.96/9.29 % (2729096)Instructions burned: 223 (million)
% 59.96/9.29 % (2729097)Instruction limit reached!
% 59.96/9.29 % (2729097)------------------------------
% 59.96/9.29 % (2729097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.96/9.29 % (2729097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.96/9.29 % (2729097)CaDiCaL version: 2.1.3
% 59.96/9.29 % (2729097)Termination reason: Instruction limit
% 59.96/9.29 % (2729097)Termination phase: Saturation
% 59.96/9.29 % (2729097)Time elapsed: 0.236 s
% 59.96/9.29 % (2729097)Peak memory usage: 16 MB
% 59.96/9.29 % (2729097)Instructions burned: 286 (million)
% 59.96/9.29 % (2729106)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 59.96/9.29 % (2729099)Instruction limit reached!
% 59.96/9.29 % (2729099)------------------------------
% 59.96/9.29 % (2729099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.96/9.29 % (2729099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.96/9.29 % (2729099)CaDiCaL version: 2.1.3
% 59.96/9.29 % (2729099)Termination reason: Instruction limit
% 59.96/9.29 % (2729099)Termination phase: Saturation
% 59.96/9.29 % (2729099)Time elapsed: 0.199 s
% 59.96/9.29 % (2729099)Peak memory usage: 15 MB
% 59.96/9.29 % (2729099)Instructions burned: 465 (million)
% 59.96/9.29 % (2729106)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1992673502:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2921 on theBenchmark for (2921ds/4386Mi)
% 59.96/9.29 % (2729107)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 59.96/9.29 % (2729107)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 59.96/9.29 % (2729107)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2289823017:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2921 on theBenchmark for (2921ds/483Mi)
% 59.96/9.29 % (2729109)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1695498236:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2920 on theBenchmark for (2920ds/176Mi)
% 59.96/9.29 % (2729108)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2572852553:i=73:rtra=on_2920 on theBenchmark for (2920ds/73Mi)
% 59.96/9.29 % (2729108)Instruction limit reached!
% 59.96/9.29 % (2729108)------------------------------
% 59.96/9.29 % (2729108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.96/9.29 % (2729108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.96/9.29 % (2729108)CaDiCaL version: 2.1.3
% 59.96/9.29 % (2729108)Termination reason: Instruction limit
% 59.96/9.29 % (2729108)Termination phase: Property scanning
% 59.96/9.29 % (2729108)Time elapsed: 0.058 s
% 59.96/9.29 % (2729108)Peak memory usage: 11 MB
% 59.96/9.29 % (2729108)Instructions burned: 73 (million)
% 59.96/9.29 % (2729109)Instruction limit reached!
% 63.18/9.92 % (2729109)------------------------------
% 63.18/9.92 % (2729109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.92 % (2729109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.92 % (2729109)CaDiCaL version: 2.1.3
% 63.18/9.92 % (2729109)Termination reason: Instruction limit
% 63.18/9.92 % (2729109)Termination phase: Saturation
% 63.18/9.92 % (2729109)Time elapsed: 0.072 s
% 63.18/9.92 % (2729109)Peak memory usage: 13 MB
% 63.18/9.92 % (2729109)Instructions burned: 177 (million)
% 63.18/9.92 % (2729114)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 63.18/9.92 % (2729115)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3165011821:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2919 on theBenchmark for (2919ds/708Mi)
% 63.18/9.92 % (2729114)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3893075167:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2919 on theBenchmark for (2919ds/39Mi)
% 63.18/9.92 % (2729104)Instruction limit reached!
% 63.18/9.92 % (2729104)------------------------------
% 63.18/9.92 % (2729104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.92 % (2729104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.92 % (2729104)CaDiCaL version: 2.1.3
% 63.18/9.92 % (2729104)Termination reason: Instruction limit
% 63.18/9.92 % (2729104)Termination phase: Saturation
% 63.18/9.92 % (2729104)Time elapsed: 0.251 s
% 63.18/9.92 % (2729104)Peak memory usage: 14 MB
% 63.18/9.92 % (2729104)Instructions burned: 280 (million)
% 63.18/9.92 % (2729114)Instruction limit reached!
% 63.18/9.92 % (2729114)------------------------------
% 63.18/9.92 % (2729114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.92 % (2729114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.92 % (2729114)CaDiCaL version: 2.1.3
% 63.18/9.92 % (2729114)Termination reason: Instruction limit
% 63.18/9.92 % (2729114)Termination phase: Property scanning
% 63.18/9.92 % (2729114)Time elapsed: 0.032 s
% 63.18/9.92 % (2729114)Peak memory usage: 11 MB
% 63.18/9.92 % (2729114)Instructions burned: 39 (million)
% 63.18/9.92 % (2729118)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 63.18/9.92 % (2729118)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=718292187:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2919 on theBenchmark for (2919ds/252Mi)
% 63.18/9.92 % (2729119)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=440168011:i=823:fsr=off:rtra=on_2919 on theBenchmark for (2919ds/823Mi)
% 63.18/9.92 % (2729118)Refutation not found, incomplete strategy
% 63.18/9.92 % (2729118)------------------------------
% 63.18/9.92 % (2729118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.92 % (2729118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.92 % (2729118)CaDiCaL version: 2.1.3
% 63.18/9.92 % (2729118)Termination reason: Refutation not found, incomplete strategy
% 63.18/9.92 % (2729118)Time elapsed: 0.124 s
% 63.18/9.92 % (2729118)Peak memory usage: 15 MB
% 63.18/9.92 % (2729118)Instructions burned: 248 (million)
% 63.18/9.92 % (2729118)------------------------------
% 63.18/9.92 % (2729118)------------------------------
% 63.18/9.92 % (2729122)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 63.18/9.92 % (2729122)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=294677266:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2917 on theBenchmark for (2917ds/16202Mi)
% 63.18/9.92 % (2729107)Instruction limit reached!
% 63.18/9.92 % (2729107)------------------------------
% 63.18/9.92 % (2729107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.92 % (2729107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.92 % (2729107)CaDiCaL version: 2.1.3
% 63.18/9.92 % (2729107)Termination reason: Instruction limit
% 63.18/9.92 % (2729107)Termination phase: Saturation
% 63.18/9.92 % (2729107)Time elapsed: 0.444 s
% 63.18/9.92 % (2729107)Peak memory usage: 18 MB
% 63.18/9.92 % (2729107)Instructions burned: 483 (million)
% 73.99/11.30 % (2729124)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3383700255:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2916 on theBenchmark for (2916ds/300Mi)
% 73.99/11.30 % (2729115)Instruction limit reached!
% 73.99/11.30 % (2729115)------------------------------
% 73.99/11.30 % (2729115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.99/11.30 % (2729115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.99/11.30 % (2729115)CaDiCaL version: 2.1.3
% 73.99/11.30 % (2729115)Termination reason: Instruction limit
% 73.99/11.30 % (2729115)Termination phase: Saturation
% 73.99/11.30 % (2729115)Time elapsed: 0.569 s
% 73.99/11.30 % (2729115)Peak memory usage: 24 MB
% 73.99/11.30 % (2729115)Instructions burned: 708 (million)
% 73.99/11.30 % (2729126)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 73.99/11.30 % (2729126)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 73.99/11.30 % (2729124)Instruction limit reached!
% 73.99/11.30 % (2729124)------------------------------
% 73.99/11.30 % (2729124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.99/11.30 % (2729124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.99/11.30 % (2729124)CaDiCaL version: 2.1.3
% 73.99/11.30 % (2729124)Termination reason: Instruction limit
% 73.99/11.30 % (2729124)Termination phase: Saturation
% 73.99/11.30 % (2729124)Time elapsed: 0.219 s
% 73.99/11.30 % (2729124)Peak memory usage: 15 MB
% 73.99/11.30 % (2729124)Instructions burned: 300 (million)
% 73.99/11.30 % (2729126)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=760559280:i=177:add=on:bd=preordered:rtra=on:rawr=on_2913 on theBenchmark for (2913ds/177Mi)
% 73.99/11.30 % (2729127)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=741117645:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2913 on theBenchmark for (2913ds/715Mi)
% 73.99/11.30 % (2729126)Instruction limit reached!
% 73.99/11.30 % (2729126)------------------------------
% 73.99/11.30 % (2729126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.99/11.30 % (2729126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.99/11.31 % (2729126)CaDiCaL version: 2.1.3
% 73.99/11.31 % (2729126)Termination reason: Instruction limit
% 73.99/11.31 % (2729126)Termination phase: Saturation
% 73.99/11.31 % (2729126)Time elapsed: 0.141 s
% 73.99/11.31 % (2729126)Peak memory usage: 14 MB
% 73.99/11.31 % (2729126)Instructions burned: 177 (million)
% 73.99/11.31 % (2729119)Instruction limit reached!
% 73.99/11.31 % (2729119)------------------------------
% 73.99/11.31 % (2729119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.99/11.31 % (2729119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.99/11.31 % (2729119)CaDiCaL version: 2.1.3
% 73.99/11.31 % (2729119)Termination reason: Instruction limit
% 73.99/11.31 % (2729119)Termination phase: Saturation
% 73.99/11.31 % (2729119)Time elapsed: 0.659 s
% 73.99/11.31 % (2729119)Peak memory usage: 18 MB
% 73.99/11.31 % (2729119)Instructions burned: 824 (million)
% 73.99/11.31 % (2729130)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 73.99/11.31 % (2729130)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 73.99/11.31 % (2729130)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=4282018444:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2912 on theBenchmark for (2912ds/230Mi)
% 73.99/11.31 % (2729131)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1873629079:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2912 on theBenchmark for (2912ds/606Mi)
% 73.99/11.31 % (2729130)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.99/11.31 % (2729130)Instruction limit reached!
% 73.99/11.31 % (2729130)------------------------------
% 73.99/11.31 % (2729130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.99/11.31 % (2729130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.99/11.31 % (2729130)CaDiCaL version: 2.1.3
% 76.09/11.70 % (2729130)Termination reason: Instruction limit
% 76.09/11.70 % (2729130)Termination phase: Saturation
% 76.09/11.70 % (2729130)Time elapsed: 0.187 s
% 76.09/11.70 % (2729130)Peak memory usage: 15 MB
% 76.09/11.70 % (2729130)Instructions burned: 230 (million)
% 76.09/11.70 % (2729134)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 76.09/11.70 % (2729134)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3203851924:lrd=on:i=841:nm=0:rtra=on_2909 on theBenchmark for (2909ds/841Mi)
% 76.09/11.70 % (2729127)Instruction limit reached!
% 76.09/11.70 % (2729127)------------------------------
% 76.09/11.70 % (2729127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.09/11.70 % (2729127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/11.70 % (2729127)CaDiCaL version: 2.1.3
% 76.09/11.70 % (2729127)Termination reason: Instruction limit
% 76.09/11.70 % (2729127)Termination phase: Saturation
% 76.09/11.70 % (2729127)Time elapsed: 0.561 s
% 76.09/11.70 % (2729127)Peak memory usage: 16 MB
% 76.09/11.70 % (2729127)Instructions burned: 715 (million)
% 76.09/11.70 % (2729136)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1013553398:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2907 on theBenchmark for (2907ds/445Mi)
% 76.09/11.70 % (2729131)Instruction limit reached!
% 76.09/11.70 % (2729131)------------------------------
% 76.09/11.70 % (2729131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.09/11.70 % (2729131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/11.70 % (2729131)CaDiCaL version: 2.1.3
% 76.09/11.70 % (2729131)Termination reason: Instruction limit
% 76.09/11.70 % (2729131)Termination phase: Saturation
% 76.09/11.70 % (2729131)Time elapsed: 0.502 s
% 76.09/11.70 % (2729131)Peak memory usage: 16 MB
% 76.09/11.70 % (2729131)Instructions burned: 607 (million)
% 76.09/11.70 % (2729138)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1047500246:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2906 on theBenchmark for (2906ds/71Mi)
% 76.09/11.70 % (2729138)Instruction limit reached!
% 76.09/11.70 % (2729138)------------------------------
% 76.09/11.70 % (2729138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.09/11.70 % (2729138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/11.70 % (2729138)CaDiCaL version: 2.1.3
% 76.09/11.70 % (2729138)Termination reason: Instruction limit
% 76.09/11.70 % (2729138)Termination phase: Property scanning
% 76.09/11.70 % (2729138)Time elapsed: 0.057 s
% 76.09/11.70 % (2729138)Peak memory usage: 11 MB
% 76.09/11.70 % (2729138)Instructions burned: 72 (million)
% 76.09/11.70 % (2729140)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
% 76.09/11.70 % (2729140)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 76.09/11.70 % (2729140)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3276959469:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2905 on theBenchmark for (2905ds/100Mi)
% 76.09/11.70 % (2729140)Instruction limit reached!
% 76.09/11.70 % (2729140)------------------------------
% 76.09/11.70 % (2729140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.09/11.70 % (2729140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.09/11.70 % (2729140)CaDiCaL version: 2.1.3
% 76.09/11.70 % (2729140)Termination reason: Instruction limit
% 76.09/11.70 % (2729140)Termination phase: Function definition elimination
% 76.09/11.70 % (2729140)Time elapsed: 0.048 s
% 76.09/11.70 % (2729140)Peak memory usage: 11 MB
% 76.09/11.70 % (2729140)Instructions burned: 100 (million)
% 76.09/11.70 % (2729142)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 76.09/11.70 % (2729142)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3012331033:i=1352:add=on:aac=none:rtra=on_2904 on theBenchmark for (2904ds/1352Mi)
% 76.09/11.70 % (2729136)Instruction limit reached!
% 76.09/11.70 % (2729136)------------------------------
% 76.09/11.70 % (2729136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729136)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729136)Termination reason: Instruction limit
% 82.09/12.63 % (2729136)Termination phase: Saturation
% 82.09/12.63 % (2729136)Time elapsed: 0.359 s
% 82.09/12.63 % (2729136)Peak memory usage: 16 MB
% 82.09/12.63 % (2729136)Instructions burned: 446 (million)
% 82.09/12.63 % (2729144)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1455801728:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2903 on theBenchmark for (2903ds/646Mi)
% 82.09/12.63 % (2729134)Instruction limit reached!
% 82.09/12.63 % (2729134)------------------------------
% 82.09/12.63 % (2729134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729134)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729134)Termination reason: Instruction limit
% 82.09/12.63 % (2729134)Termination phase: Saturation
% 82.09/12.63 % (2729134)Time elapsed: 0.686 s
% 82.09/12.63 % (2729134)Peak memory usage: 23 MB
% 82.09/12.63 % (2729134)Instructions burned: 842 (million)
% 82.09/12.63 % (2729146)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2776802703:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2902 on theBenchmark for (2902ds/1924Mi)
% 82.09/12.63 % (2729144)Instruction limit reached!
% 82.09/12.63 % (2729144)------------------------------
% 82.09/12.63 % (2729144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729144)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729144)Termination reason: Instruction limit
% 82.09/12.63 % (2729144)Termination phase: Saturation
% 82.09/12.63 % (2729144)Time elapsed: 0.411 s
% 82.09/12.63 % (2729144)Peak memory usage: 19 MB
% 82.09/12.63 % (2729144)Instructions burned: 647 (million)
% 82.09/12.63 % (2729148)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2493479968:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/984Mi)
% 82.09/12.63 % (2729142)Instruction limit reached!
% 82.09/12.63 % (2729142)------------------------------
% 82.09/12.63 % (2729142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729142)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729142)Termination reason: Instruction limit
% 82.09/12.63 % (2729142)Termination phase: Saturation
% 82.09/12.63 % (2729142)Time elapsed: 0.916 s
% 82.09/12.63 % (2729142)Peak memory usage: 23 MB
% 82.09/12.63 % (2729142)Instructions burned: 1353 (million)
% 82.09/12.63 % (2729150)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1076543741:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2895 on theBenchmark for (2895ds/592Mi)
% 82.09/12.63 % (2729148)Instruction limit reached!
% 82.09/12.63 % (2729148)------------------------------
% 82.09/12.63 % (2729148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729148)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729148)Termination reason: Instruction limit
% 82.09/12.63 % (2729148)Termination phase: Saturation
% 82.09/12.63 % (2729148)Time elapsed: 0.618 s
% 82.09/12.63 % (2729148)Peak memory usage: 18 MB
% 82.09/12.63 % (2729148)Instructions burned: 988 (million)
% 82.09/12.63 % (2729152)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2043828354:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2892 on theBenchmark for (2892ds/872Mi)
% 82.09/12.63 % (2729150)Instruction limit reached!
% 82.09/12.63 % (2729150)------------------------------
% 82.09/12.63 % (2729150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.09/12.63 % (2729150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.09/12.63 % (2729150)CaDiCaL version: 2.1.3
% 82.09/12.63 % (2729150)Termination reason: Instruction limit
% 82.09/12.63 % (2729150)Termination phase: Saturation
% 82.09/12.63 % (2729150)Time elapsed: 0.481 s
% 82.09/12.63 % (2729150)Peak memory usage: 23 MB
% 82.09/12.63 % (2729150)Instructions burned: 593 (million)
% 82.09/12.63 % (2729154)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 93.87/14.20 % (2729154)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=1205323788:i=999:add=on:rtra=on_2890 on theBenchmark for (2890ds/999Mi)
% 93.87/14.20 % (2729152)Instruction limit reached!
% 93.87/14.20 % (2729152)------------------------------
% 93.87/14.20 % (2729152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2729152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2729152)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2729152)Termination reason: Instruction limit
% 93.87/14.20 % (2729152)Termination phase: Saturation
% 93.87/14.20 % (2729152)Time elapsed: 0.368 s
% 93.87/14.20 % (2729152)Peak memory usage: 16 MB
% 93.87/14.20 % (2729152)Instructions burned: 873 (million)
% 93.87/14.20 % (2729156)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 93.87/14.20 % (2729156)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1092463733:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2888 on theBenchmark for (2888ds/244Mi)
% 93.87/14.20 % (2728920)Instruction limit reached!
% 93.87/14.20 % (2728920)------------------------------
% 93.87/14.20 % (2728920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2728920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2728920)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2728920)Termination reason: Instruction limit
% 93.87/14.20 % (2728920)Termination phase: Saturation
% 93.87/14.20 % (2728920)Time elapsed: 9.110 s
% 93.87/14.20 % (2728920)Peak memory usage: 60 MB
% 93.87/14.20 % (2728920)Instructions burned: 9841 (million)
% 93.87/14.20 % (2729158)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=697740646:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2888 on theBenchmark for (2888ds/113Mi)
% 93.87/14.20 % (2729156)Instruction limit reached!
% 93.87/14.20 % (2729156)------------------------------
% 93.87/14.20 % (2729156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2729156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2729156)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2729156)Termination reason: Instruction limit
% 93.87/14.20 % (2729156)Termination phase: Saturation
% 93.87/14.20 % (2729156)Time elapsed: 0.105 s
% 93.87/14.20 % (2729156)Peak memory usage: 14 MB
% 93.87/14.20 % (2729156)Instructions burned: 246 (million)
% 93.87/14.20 % (2729160)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3934730128:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2887 on theBenchmark for (2887ds/7795Mi)
% 93.87/14.20 % (2729158)Instruction limit reached!
% 93.87/14.20 % (2729158)------------------------------
% 93.87/14.20 % (2729158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2729158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2729158)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2729158)Termination reason: Instruction limit
% 93.87/14.20 % (2729158)Termination phase: Property scanning
% 93.87/14.20 % (2729158)Time elapsed: 0.088 s
% 93.87/14.20 % (2729158)Peak memory usage: 12 MB
% 93.87/14.20 % (2729158)Instructions burned: 113 (million)
% 93.87/14.20 % (2729162)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2514781610:st=2:i=5026:sd=1:rtra=on:ss=axioms_2887 on theBenchmark for (2887ds/5026Mi)
% 93.87/14.20 % (2729146)Instruction limit reached!
% 93.87/14.20 % (2729146)------------------------------
% 93.87/14.20 % (2729146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2729146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2729146)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2729146)Termination reason: Instruction limit
% 93.87/14.20 % (2729146)Termination phase: Saturation
% 93.87/14.20 % (2729146)Time elapsed: 1.640 s
% 93.87/14.20 % (2729146)Peak memory usage: 20 MB
% 93.87/14.20 % (2729146)Instructions burned: 1924 (million)
% 93.87/14.20 % (2729106)Instruction limit reached!
% 93.87/14.20 % (2729106)------------------------------
% 93.87/14.20 % (2729106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.87/14.20 % (2729106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.87/14.20 % (2729106)CaDiCaL version: 2.1.3
% 93.87/14.20 % (2729106)Termination reason: Instruction limit
% 108.35/16.28 % (2729106)Termination phase: Saturation
% 108.35/16.28 % (2729106)Time elapsed: 3.505 s
% 108.35/16.28 % (2729106)Peak memory usage: 16 MB
% 108.35/16.28 % (2729106)Instructions burned: 4386 (million)
% 108.35/16.28 % (2729164)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 108.35/16.28 % (2729164)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2493309566:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2885 on theBenchmark for (2885ds/763Mi)
% 108.35/16.28 % (2729165)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1719559150:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2885 on theBenchmark for (2885ds/1144Mi)
% 108.35/16.28 % (2729154)Instruction limit reached!
% 108.35/16.28 % (2729154)------------------------------
% 108.35/16.28 % (2729154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.35/16.28 % (2729154)CaDiCaL version: 2.1.3
% 108.35/16.28 % (2729154)Termination reason: Instruction limit
% 108.35/16.28 % (2729154)Termination phase: Saturation
% 108.35/16.28 % (2729154)Time elapsed: 0.735 s
% 108.35/16.28 % (2729154)Peak memory usage: 24 MB
% 108.35/16.28 % (2729154)Instructions burned: 999 (million)
% 108.35/16.28 % (2729168)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 108.35/16.28 % (2729168)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=1986436461:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2882 on theBenchmark for (2882ds/52Mi)
% 108.35/16.28 % (2729168)Instruction limit reached!
% 108.35/16.28 % (2729168)------------------------------
% 108.35/16.28 % (2729168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.35/16.28 % (2729168)CaDiCaL version: 2.1.3
% 108.35/16.28 % (2729168)Termination reason: Instruction limit
% 108.35/16.28 % (2729168)Termination phase: Property scanning
% 108.35/16.28 % (2729168)Time elapsed: 0.025 s
% 108.35/16.28 % (2729168)Peak memory usage: 11 MB
% 108.35/16.28 % (2729168)Instructions burned: 53 (million)
% 108.35/16.28 % (2729170)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2886108708:i=1724:fsr=off:rtra=on:fe=abstraction_2881 on theBenchmark for (2881ds/1724Mi)
% 108.35/16.28 % (2729070)Instruction limit reached!
% 108.35/16.28 % (2729070)------------------------------
% 108.35/16.28 % (2729070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.35/16.28 % (2729070)CaDiCaL version: 2.1.3
% 108.35/16.28 % (2729070)Termination reason: Instruction limit
% 108.35/16.28 % (2729070)Termination phase: Saturation
% 108.35/16.28 % (2729070)Time elapsed: 5.360 s
% 108.35/16.28 % (2729070)Peak memory usage: 39 MB
% 108.35/16.28 % (2729070)Instructions burned: 6360 (million)
% 108.35/16.28 % (2729164)Instruction limit reached!
% 108.35/16.28 % (2729164)------------------------------
% 108.35/16.28 % (2729164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.35/16.28 % (2729164)CaDiCaL version: 2.1.3
% 108.35/16.28 % (2729164)Termination reason: Instruction limit
% 108.35/16.28 % (2729164)Termination phase: Saturation
% 108.35/16.28 % (2729164)Time elapsed: 0.619 s
% 108.35/16.28 % (2729164)Peak memory usage: 15 MB
% 108.35/16.28 % (2729164)Instructions burned: 763 (million)
% 108.35/16.28 % (2729173)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1053596229:i=6395:sd=1:rtra=on:ss=axioms_2879 on theBenchmark for (2879ds/6395Mi)
% 108.35/16.28 % (2729172)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2950872299:i=439:add=on:slsql=off:rtra=on:ntd=on_2879 on theBenchmark for (2879ds/439Mi)
% 108.35/16.28 % (2729165)Instruction limit reached!
% 108.35/16.28 % (2729165)------------------------------
% 108.35/16.28 % (2729165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729172)Instruction limit reached!
% 108.35/16.28 % (2729172)------------------------------
% 108.35/16.28 % (2729172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.35/16.28 % (2729165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729165)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729172)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729172)Termination reason: Instruction limit
% 119.81/17.98 % (2729172)Termination phase: Saturation
% 119.81/17.98 % (2729172)Time elapsed: 0.197 s
% 119.81/17.98 % (2729172)Peak memory usage: 18 MB
% 119.81/17.98 % (2729172)Instructions burned: 442 (million)
% 119.81/17.98 % (2729165)Termination reason: Instruction limit
% 119.81/17.98 % (2729165)Termination phase: Saturation
% 119.81/17.98 % (2729165)Time elapsed: 0.881 s
% 119.81/17.98 % (2729165)Peak memory usage: 22 MB
% 119.81/17.98 % (2729165)Instructions burned: 1146 (million)
% 119.81/17.98 % (2729177)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 119.81/17.98 % (2729177)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3853366287:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2876 on theBenchmark for (2876ds/376Mi)
% 119.81/17.98 % (2729176)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 119.81/17.98 % (2729176)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2236816625:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2876 on theBenchmark for (2876ds/6762Mi)
% 119.81/17.98 % (2729177)Instruction limit reached!
% 119.81/17.98 % (2729177)------------------------------
% 119.81/17.98 % (2729177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 119.81/17.98 % (2729177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729177)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729177)Termination reason: Instruction limit
% 119.81/17.98 % (2729177)Termination phase: Saturation
% 119.81/17.98 % (2729177)Time elapsed: 0.263 s
% 119.81/17.98 % (2729177)Peak memory usage: 16 MB
% 119.81/17.98 % (2729177)Instructions burned: 377 (million)
% 119.81/17.98 % (2729180)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2710131646:i=965:bd=all:ins=4:rtra=on_2873 on theBenchmark for (2873ds/965Mi)
% 119.81/17.98 % (2729170)Instruction limit reached!
% 119.81/17.98 % (2729170)------------------------------
% 119.81/17.98 % (2729170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 119.81/17.98 % (2729170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729170)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729170)Termination reason: Instruction limit
% 119.81/17.98 % (2729170)Termination phase: Saturation
% 119.81/17.98 % (2729170)Time elapsed: 0.971 s
% 119.81/17.98 % (2729170)Peak memory usage: 19 MB
% 119.81/17.98 % (2729170)Instructions burned: 1725 (million)
% 119.81/17.98 % (2729182)lrs+10_1_sil=128000:si=on:urr=on:random_seed=364524763:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2871 on theBenchmark for (2871ds/5013Mi)
% 119.81/17.98 % (2729180)Instruction limit reached!
% 119.81/17.98 % (2729180)------------------------------
% 119.81/17.98 % (2729180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 119.81/17.98 % (2729180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729180)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729180)Termination reason: Instruction limit
% 119.81/17.98 % (2729180)Termination phase: Saturation
% 119.81/17.98 % (2729180)Time elapsed: 0.395 s
% 119.81/17.98 % (2729180)Peak memory usage: 18 MB
% 119.81/17.98 % (2729180)Instructions burned: 966 (million)
% 119.81/17.98 % (2729184)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3436467419:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2869 on theBenchmark for (2869ds/1583Mi)
% 119.81/17.98 % (2729184)Instruction limit reached!
% 119.81/17.98 % (2729184)------------------------------
% 119.81/17.98 % (2729184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 119.81/17.98 % (2729184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 119.81/17.98 % (2729184)CaDiCaL version: 2.1.3
% 119.81/17.98 % (2729184)Termination reason: Instruction limit
% 119.81/17.98 % (2729184)Termination phase: Saturation
% 119.81/17.98 % (2729184)Time elapsed: 0.819 s
% 119.81/17.98 % (2729184)Peak memory usage: 27 MB
% 119.81/17.98 % (2729184)Instructions burned: 1585 (million)
% 119.81/17.98 % (2729186)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 125.60/18.89 % (2729186)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 125.60/18.89 % (2729186)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 125.60/18.89 % (2729186)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 125.60/18.89 % (2729186)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3418585392:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2860 on theBenchmark for (2860ds/1774Mi)
% 125.60/18.89 % (2729186)Instruction limit reached!
% 125.60/18.89 % (2729186)------------------------------
% 125.60/18.89 % (2729186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.60/18.89 % (2729186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.60/18.89 % (2729186)CaDiCaL version: 2.1.3
% 125.60/18.89 % (2729186)Termination reason: Instruction limit
% 125.60/18.89 % (2729186)Termination phase: Saturation
% 125.60/18.89 % (2729186)Time elapsed: 1.016 s
% 125.60/18.89 % (2729186)Peak memory usage: 22 MB
% 125.60/18.89 % (2729186)Instructions burned: 1774 (million)
% 125.60/18.89 % (2729188)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=217326813:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2850 on theBenchmark for (2850ds/515Mi)
% 125.60/18.89 % (2729188)Instruction limit reached!
% 125.60/18.89 % (2729188)------------------------------
% 125.60/18.89 % (2729188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.60/18.89 % (2729188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.60/18.89 % (2729188)CaDiCaL version: 2.1.3
% 125.60/18.89 % (2729188)Termination reason: Instruction limit
% 125.60/18.89 % (2729188)Termination phase: Saturation
% 125.60/18.89 % (2729188)Time elapsed: 0.272 s
% 125.60/18.89 % (2729188)Peak memory usage: 16 MB
% 125.60/18.89 % (2729188)Instructions burned: 515 (million)
% 125.60/18.89 % (2729190)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 125.60/18.89 % (2729190)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=1449727371:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2847 on theBenchmark for (2847ds/1297Mi)
% 125.60/18.89 % (2729162)Instruction limit reached!
% 125.60/18.89 % (2729162)------------------------------
% 125.60/18.89 % (2729162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.60/18.89 % (2729162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.60/18.89 % (2729162)CaDiCaL version: 2.1.3
% 125.60/18.89 % (2729162)Termination reason: Instruction limit
% 125.60/18.89 % (2729162)Termination phase: Saturation
% 125.60/18.89 % (2729162)Time elapsed: 4.322 s
% 125.60/18.89 % (2729162)Peak memory usage: 28 MB
% 125.60/18.89 % (2729162)Instructions burned: 5027 (million)
% 125.60/18.89 % (2729192)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=363945886:s2a=on:i=611:rtra=on:gsp=on_2843 on theBenchmark for (2843ds/611Mi)
% 125.60/18.89 % (2729192)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 125.60/18.89 % (2729192)Instruction limit reached!
% 125.60/18.89 % (2729192)------------------------------
% 125.60/18.89 % (2729192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.60/18.89 % (2729192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.60/18.89 % (2729192)CaDiCaL version: 2.1.3
% 125.60/18.89 % (2729192)Termination reason: Instruction limit
% 125.60/18.89 % (2729192)Termination phase: Saturation
% 125.60/18.89 % (2729192)Time elapsed: 0.270 s
% 125.60/18.89 % (2729192)Peak memory usage: 22 MB
% 125.60/18.89 % (2729192)Instructions burned: 614 (million)
% 125.60/18.89 % (2729194)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 125.60/18.89 % (2729194)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1422169786:i=72:bd=all:rtra=on_2840 on theBenchmark for (2840ds/72Mi)
% 125.60/18.89 % (2729194)Instruction limit reached!
% 134.12/20.06 % (2729194)------------------------------
% 134.12/20.06 % (2729194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729194)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729194)Termination reason: Instruction limit
% 134.12/20.06 % (2729194)Termination phase: Property scanning
% 134.12/20.06 % (2729194)Time elapsed: 0.032 s
% 134.12/20.06 % (2729194)Peak memory usage: 12 MB
% 134.12/20.06 % (2729194)Instructions burned: 72 (million)
% 134.12/20.06 % (2729196)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=3478247291:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2840 on theBenchmark for (2840ds/6580Mi)
% 134.12/20.06 % (2729190)Instruction limit reached!
% 134.12/20.06 % (2729190)------------------------------
% 134.12/20.06 % (2729190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729190)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729190)Termination reason: Instruction limit
% 134.12/20.06 % (2729190)Termination phase: Saturation
% 134.12/20.06 % (2729190)Time elapsed: 0.763 s
% 134.12/20.06 % (2729190)Peak memory usage: 17 MB
% 134.12/20.06 % (2729190)Instructions burned: 1297 (million)
% 134.12/20.06 % (2729198)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1238445359:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2839 on theBenchmark for (2839ds/6209Mi)
% 134.12/20.06 % (2729182)Instruction limit reached!
% 134.12/20.06 % (2729182)------------------------------
% 134.12/20.06 % (2729182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729182)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729182)Termination reason: Instruction limit
% 134.12/20.06 % (2729182)Termination phase: Saturation
% 134.12/20.06 % (2729182)Time elapsed: 4.030 s
% 134.12/20.06 % (2729182)Peak memory usage: 27 MB
% 134.12/20.06 % (2729182)Instructions burned: 5014 (million)
% 134.12/20.06 % (2729200)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2563988163:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2830 on theBenchmark for (2830ds/1003Mi)
% 134.12/20.06 % (2729173)Instruction limit reached!
% 134.12/20.06 % (2729173)------------------------------
% 134.12/20.06 % (2729173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729173)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729173)Termination reason: Instruction limit
% 134.12/20.06 % (2729173)Termination phase: Saturation
% 134.12/20.06 % (2729173)Time elapsed: 5.313 s
% 134.12/20.06 % (2729173)Peak memory usage: 32 MB
% 134.12/20.06 % (2729173)Instructions burned: 6395 (million)
% 134.12/20.06 % (2729202)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 134.12/20.06 % (2729202)ott+1002_16_sil=128000:si=on:random_seed=3129507248:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2825 on theBenchmark for (2825ds/409Mi)
% 134.12/20.06 % (2729200)Instruction limit reached!
% 134.12/20.06 % (2729200)------------------------------
% 134.12/20.06 % (2729200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729200)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729200)Termination reason: Instruction limit
% 134.12/20.06 % (2729200)Termination phase: Saturation
% 134.12/20.06 % (2729200)Time elapsed: 0.575 s
% 134.12/20.06 % (2729200)Peak memory usage: 22 MB
% 134.12/20.06 % (2729200)Instructions burned: 1003 (million)
% 134.12/20.06 % (2729204)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=464419720:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2824 on theBenchmark for (2824ds/403Mi)
% 134.12/20.06 % (2729202)Instruction limit reached!
% 134.12/20.06 % (2729202)------------------------------
% 134.12/20.06 % (2729202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.12/20.06 % (2729202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.12/20.06 % (2729202)CaDiCaL version: 2.1.3
% 134.12/20.06 % (2729202)Termination reason: Instruction limit
% 139.76/20.93 % (2729202)Termination phase: Saturation
% 139.76/20.93 % (2729202)Time elapsed: 0.190 s
% 139.76/20.93 % (2729202)Peak memory usage: 16 MB
% 139.76/20.93 % (2729202)Instructions burned: 410 (million)
% 139.76/20.93 % (2729206)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=693484377:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2822 on theBenchmark for (2822ds/6843Mi)
% 139.76/20.93 % (2729204)Instruction limit reached!
% 139.76/20.93 % (2729204)------------------------------
% 139.76/20.93 % (2729204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.76/20.93 % (2729204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.76/20.93 % (2729204)CaDiCaL version: 2.1.3
% 139.76/20.93 % (2729204)Termination reason: Instruction limit
% 139.76/20.93 % (2729204)Termination phase: Saturation
% 139.76/20.93 % (2729204)Time elapsed: 0.371 s
% 139.76/20.93 % (2729204)Peak memory usage: 16 MB
% 139.76/20.93 % (2729204)Instructions burned: 404 (million)
% 139.76/20.93 % (2729208)lrs+10_2:1_si=on:random_seed=3243546756:s2a=on:i=506:rtra=on:fe=abstraction_2820 on theBenchmark for (2820ds/506Mi)
% 139.76/20.93 % (2729176)Instruction limit reached!
% 139.76/20.93 % (2729176)------------------------------
% 139.76/20.93 % (2729176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.76/20.93 % (2729176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.76/20.93 % (2729176)CaDiCaL version: 2.1.3
% 139.76/20.93 % (2729176)Termination reason: Instruction limit
% 139.76/20.93 % (2729176)Termination phase: Saturation
% 139.76/20.93 % (2729176)Time elapsed: 5.663 s
% 139.76/20.93 % (2729176)Peak memory usage: 31 MB
% 139.76/20.93 % (2729176)Instructions burned: 6764 (million)
% 139.76/20.93 % (2729210)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=463057187:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2819 on theBenchmark for (2819ds/888Mi)
% 139.76/20.93 % (2729208)Instruction limit reached!
% 139.76/20.93 % (2729208)------------------------------
% 139.76/20.93 % (2729208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.76/20.93 % (2729208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.76/20.93 % (2729208)CaDiCaL version: 2.1.3
% 139.76/20.93 % (2729208)Termination reason: Instruction limit
% 139.76/20.93 % (2729208)Termination phase: Saturation
% 139.76/20.93 % (2729208)Time elapsed: 0.344 s
% 139.76/20.93 % (2729208)Peak memory usage: 16 MB
% 139.76/20.93 % (2729208)Instructions burned: 506 (million)
% 139.76/20.93 % (2729212)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 139.76/20.93 % (2729212)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=487411696:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2817 on theBenchmark for (2817ds/416Mi)
% 139.76/20.93 % (2729160)Instruction limit reached!
% 139.76/20.93 % (2729160)------------------------------
% 139.76/20.93 % (2729160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.76/20.93 % (2729160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.76/20.93 % (2729160)CaDiCaL version: 2.1.3
% 139.76/20.93 % (2729160)Termination reason: Instruction limit
% 139.76/20.93 % (2729160)Termination phase: Saturation
% 139.76/20.93 % (2729160)Time elapsed: 7.144 s
% 139.76/20.93 % (2729160)Peak memory usage: 48 MB
% 139.76/20.93 % (2729160)Instructions burned: 7796 (million)
% 139.76/20.93 % (2729214)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1949944458:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2815 on theBenchmark for (2815ds/13534Mi)
% 139.76/20.93 % (2729212)Instruction limit reached!
% 139.76/20.93 % (2729212)------------------------------
% 139.76/20.93 % (2729212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 139.76/20.93 % (2729212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.76/20.93 % (2729212)CaDiCaL version: 2.1.3
% 139.76/20.93 % (2729212)Termination reason: Instruction limit
% 139.76/20.93 % (2729212)Termination phase: Saturation
% 139.76/20.93 % (2729212)Time elapsed: 0.264 s
% 139.76/20.93 % (2729212)Peak memory usage: 17 MB
% 139.76/20.93 % (2729212)Instructions burned: 416 (million)
% 139.76/20.93 % (2729216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 146.41/21.78 % (2729216)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=3676589441:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2814 on theBenchmark for (2814ds/206Mi)
% 146.41/21.78 % (2729216)Instruction limit reached!
% 146.41/21.78 % (2729216)------------------------------
% 146.41/21.78 % (2729216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.41/21.78 % (2729216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.41/21.78 % (2729216)CaDiCaL version: 2.1.3
% 146.41/21.78 % (2729216)Termination reason: Instruction limit
% 146.41/21.78 % (2729216)Termination phase: Saturation
% 146.41/21.78 % (2729216)Time elapsed: 0.113 s
% 146.41/21.78 % (2729216)Peak memory usage: 13 MB
% 146.41/21.78 % (2729216)Instructions burned: 206 (million)
% 146.41/21.78 % (2729218)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=892561612:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2812 on theBenchmark for (2812ds/2295Mi)
% 146.41/21.78 % (2729210)Instruction limit reached!
% 146.41/21.78 % (2729210)------------------------------
% 146.41/21.78 % (2729210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.41/21.78 % (2729210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.41/21.78 % (2729210)CaDiCaL version: 2.1.3
% 146.41/21.78 % (2729210)Termination reason: Instruction limit
% 146.41/21.78 % (2729210)Termination phase: Saturation
% 146.41/21.78 % (2729210)Time elapsed: 0.704 s
% 146.41/21.78 % (2729210)Peak memory usage: 14 MB
% 146.41/21.78 % (2729210)Instructions burned: 888 (million)
% 146.41/21.78 % (2729122)Instruction limit reached!
% 146.41/21.78 % (2729122)------------------------------
% 146.41/21.78 % (2729122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.41/21.78 % (2729122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.41/21.78 % (2729122)CaDiCaL version: 2.1.3
% 146.41/21.78 % (2729122)Termination reason: Instruction limit
% 146.41/21.78 % (2729122)Termination phase: Saturation
% 146.41/21.78 % (2729122)Time elapsed: 10.560 s
% 146.41/21.78 % (2729122)Peak memory usage: 102 MB
% 146.41/21.78 % (2729122)Instructions burned: 16202 (million)
% 146.41/21.78 % (2729220)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3874446644:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2811 on theBenchmark for (2811ds/637Mi)
% 146.41/21.78 % (2729221)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1539917098:hsq=on:i=667:rtra=on:ixr=off_2811 on theBenchmark for (2811ds/667Mi)
% 146.41/21.78 % (2729220)Instruction limit reached!
% 146.41/21.78 % (2729220)------------------------------
% 146.41/21.78 % (2729220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.41/21.78 % (2729220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.41/21.78 % (2729220)CaDiCaL version: 2.1.3
% 146.41/21.78 % (2729220)Termination reason: Instruction limit
% 146.41/21.78 % (2729220)Termination phase: Saturation
% 146.41/21.78 % (2729220)Time elapsed: 0.523 s
% 146.41/21.78 % (2729220)Peak memory usage: 19 MB
% 146.41/21.78 % (2729220)Instructions burned: 638 (million)
% 146.41/21.78 % (2729224)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2780003146:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2805 on theBenchmark for (2805ds/1801Mi)
% 146.41/21.78 % (2729221)Instruction limit reached!
% 146.41/21.78 % (2729221)------------------------------
% 146.41/21.78 % (2729221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.41/21.78 % (2729221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.41/21.78 % (2729221)CaDiCaL version: 2.1.3
% 146.41/21.78 % (2729221)Termination reason: Instruction limit
% 146.41/21.78 % (2729221)Termination phase: Saturation
% 146.41/21.78 % (2729221)Time elapsed: 0.553 s
% 146.41/21.78 % (2729221)Peak memory usage: 20 MB
% 146.41/21.78 % (2729221)Instructions burned: 668 (million)
% 146.41/21.78 % (2729226)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3340950527:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2805 on theBenchmark for (2805ds/555Mi)
% 146.41/21.78 % (2729226)Instruction limit reached!
% 146.41/21.78 % (2729226)------------------------------
% 146.41/21.78 % (2729226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729226)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729226)Termination reason: Instruction limit
% 152.94/22.72 % (2729226)Termination phase: Saturation
% 152.94/22.72 % (2729226)Time elapsed: 0.294 s
% 152.94/22.72 % (2729226)Peak memory usage: 22 MB
% 152.94/22.72 % (2729226)Instructions burned: 556 (million)
% 152.94/22.72 % (2729228)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=2056336252:i=88:s2at=3:nm=2:rtra=on:rawr=on_2802 on theBenchmark for (2802ds/88Mi)
% 152.94/22.72 % (2729228)Instruction limit reached!
% 152.94/22.72 % (2729228)------------------------------
% 152.94/22.72 % (2729228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729228)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729228)Termination reason: Instruction limit
% 152.94/22.72 % (2729228)Termination phase: Property scanning
% 152.94/22.72 % (2729228)Time elapsed: 0.079 s
% 152.94/22.72 % (2729228)Peak memory usage: 12 MB
% 152.94/22.72 % (2729228)Instructions burned: 88 (million)
% 152.94/22.72 % (2729230)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2054089638:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2801 on theBenchmark for (2801ds/280Mi)
% 152.94/22.72 % (2729230)Instruction limit reached!
% 152.94/22.72 % (2729230)------------------------------
% 152.94/22.72 % (2729230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729230)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729230)Termination reason: Instruction limit
% 152.94/22.72 % (2729230)Termination phase: Saturation
% 152.94/22.72 % (2729230)Time elapsed: 0.141 s
% 152.94/22.72 % (2729230)Peak memory usage: 14 MB
% 152.94/22.72 % (2729230)Instructions burned: 281 (million)
% 152.94/22.72 % (2729232)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=3336270649:s2a=on:i=3166:bd=preordered:rtra=on_2799 on theBenchmark for (2799ds/3166Mi)
% 152.94/22.72 % (2729224)Instruction limit reached!
% 152.94/22.72 % (2729224)------------------------------
% 152.94/22.72 % (2729224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729224)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729224)Termination reason: Instruction limit
% 152.94/22.72 % (2729224)Termination phase: Saturation
% 152.94/22.72 % (2729224)Time elapsed: 0.764 s
% 152.94/22.72 % (2729224)Peak memory usage: 23 MB
% 152.94/22.72 % (2729224)Instructions burned: 1803 (million)
% 152.94/22.72 % (2729234)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 152.94/22.72 % (2729234)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=847335912:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2798 on theBenchmark for (2798ds/4201Mi)
% 152.94/22.72 % (2729196)Instruction limit reached!
% 152.94/22.72 % (2729196)------------------------------
% 152.94/22.72 % (2729196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729196)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729196)Termination reason: Instruction limit
% 152.94/22.72 % (2729196)Termination phase: Saturation
% 152.94/22.72 % (2729196)Time elapsed: 4.332 s
% 152.94/22.72 % (2729196)Peak memory usage: 48 MB
% 152.94/22.72 % (2729196)Instructions burned: 6580 (million)
% 152.94/22.72 % (2729236)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1810614820:i=2352:rtra=on:ixr=off_2796 on theBenchmark for (2796ds/2352Mi)
% 152.94/22.72 % (2729218)Instruction limit reached!
% 152.94/22.72 % (2729218)------------------------------
% 152.94/22.72 % (2729218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.94/22.72 % (2729218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.94/22.72 % (2729218)CaDiCaL version: 2.1.3
% 152.94/22.72 % (2729218)Termination reason: Instruction limit
% 152.94/22.72 % (2729218)Termination phase: Saturation
% 152.94/22.72 % (2729218)Time elapsed: 1.883 s
% 152.94/22.72 % (2729218)Peak memory usage: 25 MB
% 152.94/22.72 % (2729218)Instructions burned: 2295 (million)
% 160.32/23.82 % (2729238)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 160.32/23.82 % (2729238)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=733090457:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2793 on theBenchmark for (2793ds/452Mi)
% 160.32/23.82 % (2729238)Instruction limit reached!
% 160.32/23.82 % (2729238)------------------------------
% 160.32/23.82 % (2729238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729238)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729238)Termination reason: Instruction limit
% 160.32/23.82 % (2729238)Termination phase: Saturation
% 160.32/23.82 % (2729238)Time elapsed: 0.268 s
% 160.32/23.82 % (2729238)Peak memory usage: 15 MB
% 160.32/23.82 % (2729238)Instructions burned: 454 (million)
% 160.32/23.82 % (2729240)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 160.32/23.82 % (2729240)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 160.32/23.82 % (2729240)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=3524143338:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2790 on theBenchmark for (2790ds/483Mi)
% 160.32/23.82 % (2729240)Instruction limit reached!
% 160.32/23.82 % (2729240)------------------------------
% 160.32/23.82 % (2729240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729240)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729240)Termination reason: Instruction limit
% 160.32/23.82 % (2729240)Termination phase: Saturation
% 160.32/23.82 % (2729240)Time elapsed: 0.281 s
% 160.32/23.82 % (2729240)Peak memory usage: 18 MB
% 160.32/23.82 % (2729240)Instructions burned: 483 (million)
% 160.32/23.82 % (2729242)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2592071868:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2787 on theBenchmark for (2787ds/168Mi)
% 160.32/23.82 % (2729198)Instruction limit reached!
% 160.32/23.82 % (2729198)------------------------------
% 160.32/23.82 % (2729198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729198)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729198)Termination reason: Instruction limit
% 160.32/23.82 % (2729198)Termination phase: Saturation
% 160.32/23.82 % (2729198)Time elapsed: 5.250 s
% 160.32/23.82 % (2729198)Peak memory usage: 28 MB
% 160.32/23.82 % (2729198)Instructions burned: 6209 (million)
% 160.32/23.82 % (2729244)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=4293132965:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2786 on theBenchmark for (2786ds/17240Mi)
% 160.32/23.82 % (2729242)Instruction limit reached!
% 160.32/23.82 % (2729242)------------------------------
% 160.32/23.82 % (2729242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729242)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729242)Termination reason: Instruction limit
% 160.32/23.82 % (2729242)Termination phase: Saturation
% 160.32/23.82 % (2729242)Time elapsed: 0.103 s
% 160.32/23.82 % (2729242)Peak memory usage: 13 MB
% 160.32/23.82 % (2729242)Instructions burned: 168 (million)
% 160.32/23.82 % (2729246)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=3623896720:i=2022:fsr=off:rtra=on:ixr=off_2786 on theBenchmark for (2786ds/2022Mi)
% 160.32/23.82 % (2729232)Instruction limit reached!
% 160.32/23.82 % (2729232)------------------------------
% 160.32/23.82 % (2729232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729232)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729232)Termination reason: Instruction limit
% 160.32/23.82 % (2729232)Termination phase: Saturation
% 160.32/23.82 % (2729232)Time elapsed: 1.408 s
% 160.32/23.82 % (2729232)Peak memory usage: 31 MB
% 160.32/23.82 % (2729232)Instructions burned: 3169 (million)
% 160.32/23.82 % (2729248)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=516180142:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2784 on theBenchmark for (2784ds/2274Mi)
% 160.32/23.82 % (2729206)Instruction limit reached!
% 160.32/23.82 % (2729206)------------------------------
% 160.32/23.82 % (2729206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729206)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729206)Termination reason: Instruction limit
% 160.32/23.82 % (2729206)Termination phase: Saturation
% 160.32/23.82 % (2729206)Time elapsed: 4.181 s
% 160.32/23.82 % (2729206)Peak memory usage: 41 MB
% 160.32/23.82 % (2729206)Instructions burned: 6843 (million)
% 160.32/23.82 % (2729250)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1038572838:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2780 on theBenchmark for (2780ds/555Mi)
% 160.32/23.82 % (2729234)Refutation not found, incomplete strategy
% 160.32/23.82 % (2729234)------------------------------
% 160.32/23.82 % (2729234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729234)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729234)Termination reason: Refutation not found, incomplete strategy
% 160.32/23.82 % (2729234)Time elapsed: 1.802 s
% 160.32/23.82 % (2729234)Peak memory usage: 15 MB
% 160.32/23.82 % (2729234)Instructions burned: 2261 (million)
% 160.32/23.82 % (2729234)------------------------------
% 160.32/23.82 % (2729234)------------------------------
% 160.32/23.82 % (2729252)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=3770993828:avsq=on:i=2220:rtra=on_2779 on theBenchmark for (2779ds/2220Mi)
% 160.32/23.82 % (2729236)Instruction limit reached!
% 160.32/23.82 % (2729236)------------------------------
% 160.32/23.82 % (2729236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729236)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729236)Termination reason: Instruction limit
% 160.32/23.82 % (2729236)Termination phase: Saturation
% 160.32/23.82 % (2729236)Time elapsed: 1.918 s
% 160.32/23.82 % (2729236)Peak memory usage: 24 MB
% 160.32/23.82 % (2729236)Instructions burned: 2352 (million)
% 160.32/23.82 % (2729250)Instruction limit reached!
% 160.32/23.82 % (2729250)------------------------------
% 160.32/23.82 % (2729250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729250)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729250)Termination reason: Instruction limit
% 160.32/23.82 % (2729250)Termination phase: Saturation
% 160.32/23.82 % (2729250)Time elapsed: 0.363 s
% 160.32/23.82 % (2729250)Peak memory usage: 21 MB
% 160.32/23.82 % (2729250)Instructions burned: 556 (million)
% 160.32/23.82 % (2729255)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 160.32/23.82 % (2729254)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2489374387:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2776 on theBenchmark for (2776ds/715Mi)
% 160.32/23.82 % (2729255)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=2156862957:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2776 on theBenchmark for (2776ds/1979Mi)
% 160.32/23.82 % (2729246)Instruction limit reached!
% 160.32/23.82 % (2729246)------------------------------
% 160.32/23.82 % (2729246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729246)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729246)Termination reason: Instruction limit
% 160.32/23.82 % (2729246)Termination phase: Saturation
% 160.32/23.82 % (2729246)Time elapsed: 0.984 s
% 160.32/23.82 % (2729246)Peak memory usage: 23 MB
% 160.32/23.82 % (2729246)Instructions burned: 2022 (million)
% 160.32/23.82 % (2729258)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1416631000:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2776 on theBenchmark for (2776ds/28911Mi)
% 160.32/23.82 % (2729255)Refutation not found, incomplete strategy
% 160.32/23.82 % (2729255)------------------------------
% 160.32/23.82 % (2729255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729255)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729255)Termination reason: Refutation not found, incomplete strategy
% 160.32/23.82 % (2729255)Time elapsed: 0.172 s
% 160.32/23.82 % (2729255)Peak memory usage: 16 MB
% 160.32/23.82 % (2729255)Instructions burned: 355 (million)
% 160.32/23.82 % (2729255)------------------------------
% 160.32/23.82 % (2729255)------------------------------
% 160.32/23.82 % (2729260)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=3452320036:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2774 on theBenchmark for (2774ds/414Mi)
% 160.32/23.82 % (2729260)Instruction limit reached!
% 160.32/23.82 % (2729260)------------------------------
% 160.32/23.82 % (2729260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729260)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729260)Termination reason: Instruction limit
% 160.32/23.82 % (2729260)Termination phase: Saturation
% 160.32/23.82 % (2729260)Time elapsed: 0.195 s
% 160.32/23.82 % (2729260)Peak memory usage: 16 MB
% 160.32/23.82 % (2729260)Instructions burned: 414 (million)
% 160.32/23.82 % (2729262)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1922748479:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2772 on theBenchmark for (2772ds/429Mi)
% 160.32/23.82 % (2729254)Instruction limit reached!
% 160.32/23.82 % (2729254)------------------------------
% 160.32/23.82 % (2729254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729254)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729254)Termination reason: Instruction limit
% 160.32/23.82 % (2729254)Termination phase: Saturation
% 160.32/23.82 % (2729254)Time elapsed: 0.596 s
% 160.32/23.82 % (2729254)Peak memory usage: 16 MB
% 160.32/23.82 % (2729254)Instructions burned: 716 (million)
% 160.32/23.82 % (2729264)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 160.32/23.82 % (2729264)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3172544429:lrd=on:i=841:nm=0:rtra=on_2770 on theBenchmark for (2770ds/841Mi)
% 160.32/23.82 % (2729262)Instruction limit reached!
% 160.32/23.82 % (2729262)------------------------------
% 160.32/23.82 % (2729262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729262)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729262)Termination reason: Instruction limit
% 160.32/23.82 % (2729262)Termination phase: Saturation
% 160.32/23.82 % (2729262)Time elapsed: 0.280 s
% 160.32/23.82 % (2729262)Peak memory usage: 15 MB
% 160.32/23.82 % (2729262)Instructions burned: 429 (million)
% 160.32/23.82 % (2729266)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3278703206:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2769 on theBenchmark for (2769ds/445Mi)
% 160.32/23.82 % (2729266)Instruction limit reached!
% 160.32/23.82 % (2729266)------------------------------
% 160.32/23.82 % (2729266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.82 % (2729266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.82 % (2729266)CaDiCaL version: 2.1.3
% 160.32/23.82 % (2729266)Termination reason: Instruction limit
% 160.32/23.82 % (2729266)Termination phase: Saturation
% 160.32/23.82 % (2729266)Time elapsed: 0.209 s
% 160.32/23.82 % (2729266)Peak memory usage: 16 MB
% 160.32/23.82 % (2729266)Instructions burned: 445 (million)
% 160.32/23.82 % (2729268)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1134209965:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2767 on theBenchmark for (2767ds/1324Mi)
% 160.32/23.82 % (2729248) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2728729-2729248"...
% 160.32/23.82 % (2729248)...printing done.
% 160.32/23.82 % (2729248)Refutation found. Thanks to Tanya!
% 160.32/23.82 % SZS status Theorem for theBenchmark
% 160.32/23.82 % SZS output start Proof for theBenchmark
% See solution above
% 160.32/23.86 % (2729248)------------------------------
% 160.32/23.86 % (2729248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 160.32/23.86 % (2729248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.32/23.86 % (2729248)CaDiCaL version: 2.1.3
% 160.32/23.86 % (2729248)Termination reason: Refutation
% 160.32/23.86 % (2729248)Time elapsed: 1.974 s
% 160.32/23.86 % (2729248)Peak memory usage: 23 MB
% 160.32/23.86 % (2729248)Instructions burned: 2259 (million)
% 160.32/23.86 % (2728729)Success in time 23.542 s
% 160.32/23.86 % Vampire exiting
%------------------------------------------------------------------------------