%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU727^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:59 AM UTC 2026
% Result : Theorem 1.85s 0.63s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 75 ( 25 unt; 0 typ; 8 def)
% Number of atoms : 4183 (1100 equ; 0 cnn)
% Maximal formula atoms : 247 ( 55 avg)
% Number of connectives : 2283 ( 91 ~; 75 |; 753 &; 353 @)
% ( 15 <=>; 996 =>; 0 <=; 0 <~>)
% Maximal formula depth : 255 ( 27 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 476 ( 473 usr; 281 con; 0-4 aty)
% Number of variables : 99 ( 0 sgn 81 !; 18 ?; 99 :)
% 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_284,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_285,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_286,type,
vOR: $o > $o > $o ).
thf(func_def_287,type,
vAND: $o > $o > $o ).
thf(func_def_288,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_289,type,
vNOT: $o > $o ).
thf(func_def_290,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_291,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_292,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_293,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_294,type,
vIMP: $o > $o > $o ).
thf(func_def_295,type,
sP0: $o ).
thf(func_def_296,type,
sP1: $i > $i > $o ).
thf(func_def_297,type,
sP2: $i > $o ).
thf(func_def_298,type,
sP3: $o ).
thf(func_def_310,type,
sK15: $i > $o ).
thf(func_def_324,type,
sK29: $o > $i > $i > $i ).
thf(func_def_327,type,
sK32: $o ).
thf(func_def_332,type,
sK37: $i > $i > $o ).
thf(func_def_334,type,
sK39: $o ).
thf(func_def_346,type,
sK51: $i > $i ).
thf(func_def_350,type,
sK55: $i > $i > ( $i > $i ) > $i ).
thf(func_def_351,type,
sK56: ( $i > $o ) > $i ).
thf(func_def_352,type,
sK57: $i > $o ).
thf(func_def_353,type,
sK58: $i > $i ).
thf(func_def_358,type,
sK63: $i > $i > $i > $i > $i ).
thf(func_def_359,type,
sK64: $i > $i > $i > $i > $i ).
thf(func_def_360,type,
sK65: $i > $i > $i > $i > $i ).
thf(func_def_361,type,
sK66: $i > $i > $i > $i > $i ).
thf(func_def_366,type,
sK71: $i > $i > $i > $i > $i ).
thf(func_def_374,type,
sK79: $i > $i > $i ).
thf(func_def_375,type,
sK80: $i > $o ).
thf(func_def_376,type,
sK81: $i > $o ).
thf(func_def_377,type,
sK82: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_378,type,
sK83: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_379,type,
sK84: $i > $o ).
thf(func_def_382,type,
sK87: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_383,type,
sK88: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_386,type,
sK91: $i > $o ).
thf(func_def_387,type,
sK92: $i > $o ).
thf(func_def_395,type,
sK100: $o ).
thf(func_def_397,type,
sK102: $i > $o ).
thf(func_def_398,type,
sK103: ( $i > $o ) > $i ).
thf(func_def_402,type,
sK107: $i > $i > $i > $i > $i ).
thf(func_def_418,type,
sK123: ( $i > $o ) > $i > $i ).
thf(func_def_420,type,
sK125: $i > $o ).
thf(func_def_427,type,
sK132: $i > $o ).
thf(func_def_429,type,
sK134: $i > $i > $i ).
thf(func_def_439,type,
sK144: $i > $o ).
thf(func_def_445,type,
sK150: $i > $i > $o ).
thf(func_def_457,type,
sK162: $i > $o ).
thf(func_def_487,type,
sK192: $i > $i ).
thf(func_def_508,type,
sK213: $i > $i > ( $i > $i ) > $i ).
thf(func_def_509,type,
sK214: $i > $i ).
thf(func_def_514,type,
sK219: $o ).
thf(func_def_515,type,
sK220: $i > $o ).
thf(func_def_516,type,
sK221: $i > $i ).
thf(func_def_517,type,
sK222: ( $i > $o ) > $i ).
thf(func_def_521,type,
sK226: $i > $i ).
thf(func_def_523,type,
sK228: $i > ( $i > $i ) > $i > $i ).
thf(func_def_531,type,
sK236: $i > $i > $o ).
thf(func_def_532,type,
sK237: $i > $i ).
thf(func_def_533,type,
sK238: $i > $i ).
thf(func_def_534,type,
sK239: ( $i > $i > $o ) > $i > $i ).
thf(func_def_535,type,
sK240: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_536,type,
sK241: ( $i > $i > $o ) > $i > $i ).
thf(func_def_544,type,
sK249: ( $i > $o ) > $i ).
thf(func_def_545,type,
sK250: ( $i > $o ) > $i ).
thf(func_def_546,type,
sK251: $i > $o ).
thf(func_def_550,type,
sK255: $i > $i > $i ).
thf(func_def_553,type,
sK258: $i > $o ).
thf(func_def_554,type,
sK259: $i > $o ).
thf(func_def_557,type,
sK262: $i > ( $i > $o ) > $i ).
thf(func_def_560,type,
sK265: $i > $o ).
thf(func_def_561,type,
sK266: $i > $i ).
thf(func_def_563,type,
sK268: $i > $i ).
thf(func_def_566,type,
sK271: $i > $i > $o ).
thf(func_def_574,type,
sK279: $i > $o ).
thf(func_def_577,type,
sK282: $i > $i ).
thf(func_def_580,type,
sK285: $i > $i > $i ).
thf(func_def_590,type,
sK295: $i > $o ).
thf(func_def_592,type,
sK297: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_593,type,
sK298: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_597,type,
sK302: $i > $i > $o ).
thf(func_def_602,type,
sK307: $o ).
thf(func_def_605,type,
sK310: $i > $i > $i > $i ).
thf(func_def_613,type,
sK318: $i > $i > $i ).
thf(func_def_614,type,
sK319: $i > $i > $i ).
thf(func_def_621,type,
sK326: $i > $o ).
thf(func_def_623,type,
sK328: ( $i > $o ) > $i > $i ).
thf(func_def_644,type,
sK349: $i > ( $i > $o ) > $i ).
thf(func_def_645,type,
sK350: $i > $o ).
thf(func_def_658,type,
sK363: $i > $i > $i > $i > $i ).
thf(func_def_666,type,
sK371: $i > $o ).
thf(func_def_667,type,
sK372: $i > $i > $i ).
thf(func_def_675,type,
sK380: $i > $o ).
thf(func_def_677,type,
sK382: $i > $i > ( $i > $i ) > $i ).
thf(func_def_678,type,
sK383: $i > $i ).
thf(func_def_684,type,
sK389: $i > $i > $i > $i ).
thf(func_def_685,type,
sK390: $i > $i > $i > $i ).
thf(func_def_689,type,
sK394: $o ).
thf(func_def_714,type,
sK419: $i > $i ).
thf(func_def_715,type,
sK420: $i > $i ).
thf(func_def_716,type,
sK421: $i > $i ).
thf(func_def_717,type,
sK422: $i > $i ).
thf(func_def_718,type,
sK423: $i > $i ).
thf(func_def_719,type,
sK424: $i > $i > $i > $i ).
thf(func_def_720,type,
sK425: $i > $i ).
thf(func_def_721,type,
sK426: $i > $i ).
thf(func_def_722,type,
sK427: $i > $i ).
thf(func_def_723,type,
sK428: $i > $i ).
thf(func_def_724,type,
sK429: $i > $i > $i ).
thf(func_def_725,type,
sK430: $i > $i > $i ).
thf(func_def_726,type,
sK431: $i > $i > $i > $i ).
thf(func_def_727,type,
sK432: $i > $i > $i > $i ).
thf(func_def_728,type,
sK433: $i > $i > $i > $i ).
thf(func_def_729,type,
sK434: $i > $i > $i ).
thf(func_def_730,type,
sK435: $i > $i > $i ).
thf(func_def_731,type,
sK436: $i > $i > $i ).
thf(func_def_744,type,
sK449: $i > $i ).
thf(func_def_763,type,
sK468: $o ).
thf(func_def_780,type,
sK485: $o ).
thf(func_def_787,type,
sK492: $i > $o ).
thf(func_def_789,type,
sK494: ( $i > $o ) > $i > $i ).
thf(func_def_797,type,
sK502: $o ).
thf(func_def_806,type,
sK511: $i > $o ).
thf(func_def_809,type,
sK514: $i > ( $i > $o ) > $i ).
thf(func_def_814,type,
sK519: $i > $i > $i > $i > $i ).
thf(func_def_815,type,
sK520: $i > $i > $i > $i > $i ).
thf(func_def_818,type,
sK523: $i > $o ).
thf(func_def_821,type,
sK526: $i > ( $i > $o ) > $i ).
thf(func_def_831,type,
sK536: $i > $i ).
thf(func_def_836,type,
sK541: $o ).
thf(func_def_845,type,
sK550: $i > $i > $i ).
thf(func_def_855,type,
sK560: $i > $o ).
thf(func_def_859,type,
sK564: $o ).
thf(func_def_867,type,
sK572: $i > $i ).
thf(func_def_870,type,
sK575: $i > $i > ( $i > $i ) > $i ).
thf(func_def_875,type,
sK580: $i > $i ).
thf(func_def_879,type,
sK584: $i > $i > ( $i > $i ) > $i ).
thf(func_def_881,type,
sK586: $i > $i > $o ).
thf(func_def_888,type,
sK593: $i > $i > $i > $i ).
thf(func_def_889,type,
sK594: $i > $i > $i > $i ).
thf(func_def_898,type,
sK603: $o ).
thf(func_def_901,type,
sK606: $o ).
thf(func_def_913,type,
sK618: $i > $i > $i > $i ).
thf(func_def_914,type,
sK619: $i > $i > $i ).
thf(func_def_917,type,
sK622: $i > $i > $i ).
thf(func_def_922,type,
sK627: $i > ( $i > $o ) > $i ).
thf(func_def_923,type,
sK628: $i > $o ).
thf(func_def_933,type,
sK638: $o ).
thf(func_def_945,type,
sK650: $i > $o ).
thf(func_def_947,type,
sK652: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_948,type,
sK653: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_949,type,
sK654: $i > ( $i > $o ) > $i ).
thf(func_def_950,type,
sK655: $i > $o ).
thf(func_def_956,type,
sK661: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_957,type,
sK662: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_958,type,
sK663: $i > $o ).
thf(func_def_959,type,
sK664: $i > $o ).
thf(func_def_977,type,
sK682: $o ).
thf(func_def_988,type,
sK693: $i > $o ).
thf(func_def_991,type,
sK696: $i > $o ).
thf(func_def_996,type,
sK701: ( $i > $o ) > $i > $i ).
thf(func_def_997,type,
sK702: ( $i > $o ) > $i > $i ).
thf(func_def_999,type,
sK704: $i > $o ).
thf(func_def_1002,type,
sK707: $o ).
thf(func_def_1010,type,
sK715: $i > $i > $o ).
thf(func_def_1014,type,
sK719: $i > $i ).
thf(func_def_1021,type,
sK726: $o ).
thf(func_def_1035,type,
sK740: $i > $o ).
thf(func_def_1038,type,
sK743: $i > $i > ( $i > $o ) > $i ).
thf(func_def_1050,type,
sK755: $i > $i > $o ).
thf(func_def_1055,type,
sK760: $i > $o ).
thf(func_def_1057,type,
sK762: ( $i > $o ) > $i > $i ).
thf(func_def_1058,type,
sK763: ( $i > $o ) > $i > $i ).
thf(f120,axiom,
( setminusI
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusI) ).
thf(f127,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ ( setminus @ X0 @ X1 ) ) )
= setminusIRneg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusIRneg) ).
thf(f248,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementI1) ).
thf(f249,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f248]) ).
thf(f283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
=> ~ ( in @ X0 @ ( setminus @ X2 @ X1 ) ) )
= setminusIRneg ),
inference(rectify,[],[f127]) ).
thf(f284,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
= $true )
=> ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
!= $true ) )
<=> ( setminusIRneg = $true ) ),
inference(fool_elimination,[],[f283]) ).
thf(f377,plain,
( setminusI
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X2 )
=> ( ~ ( in @ X0 @ X1 )
=> ( in @ X0 @ ( setminus @ X2 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f120]) ).
thf(f378,plain,
( ( setminusI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
=> ( ( ( in @ X0 @ X1 )
!= $true )
=> ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f377]) ).
thf(f600,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
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f249]) ).
thf(f601,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X2 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f600]) ).
thf(f736,plain,
( ! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X0 @ X1 )
= $true )
=> ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
!= $true ) )
<=> ( setminusIRneg = $true ) ),
inference(flattening,[],[f284]) ).
thf(f745,plain,
( ( setminusI = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
=> ( ( ( in @ X0 @ X1 )
!= $true )
=> ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true ) ) ) ),
inference(flattening,[],[f378]) ).
thf(f1004,plain,
( ( setminusI = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[],[f745]) ).
thf(f1005,plain,
( ( setminusI = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X0 @ X1 )
= $true ) ) ),
inference(flattening,[],[f1004]) ).
thf(f1007,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
!= $true )
& ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
= $true ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f601]) ).
thf(f1008,plain,
( ( cartprodpairin = $true )
& ( setadjoinE = $true )
& ( contrasubsetT2 = $true )
& ( binintersectEL = $true )
& ( funcImageSingleton = $true )
& ( setminusLsub = $true )
& ( exuI3 = $true )
& ( ifSingleton = $true )
& ( ap2apEq1 = $true )
& ( symdiffI1 = $true )
& ( setextsub = $true )
& ( setadjoinIL = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjR1 = $true )
& ( setminusIRneg = $true )
& ( prop2setE = $true )
& ( complementTE1 = $true )
& ( setextT = $true )
& ( subsetTI = $true )
& ( binintersectER = $true )
& ( notinemptyset = $true )
& ( contrasubsetT3 = $true )
& ( funcext2 = $true )
& ( eta1 = $true )
& ( powersetE = $true )
& ( kfstsingleton = $true )
& ( subsetemptysetimpeq = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( symdiffE = $true )
& ( cartprodmempair1 = $true )
& ( exuE3e = $true )
& ( binunionT_lem = $true )
& ( dsetconstr__Cong = $true )
& ( upairset2E = $true )
& ( app = $true )
& ( brelnall1 = $true )
& ( upairsubunion = $true )
& ( dsetconstrER = $true )
& ( prop2set2propI = $true )
& ( emptyinPowerset = $true )
& ( funcGraphProp1 = $true )
& ( powersetT_lem = $true )
& ( binintersectSubset3 = $true )
& ( upairsetE = $true )
& ( subsetE = $true )
& ( notequalI1 = $true )
& ( ex1I2 = $true )
& ( quantDeMorgan1 = $true )
& ( setadjoinOr = $true )
& ( ap2apEq2 = $true )
& ( cartprodsndin = $true )
& ( ubforcartprodlem3 = $true )
& ( funcGraphProp4 = $true )
& ( setextAx = $true )
& ( ex1E2 = $true )
& ( infuncsetfunc = $true )
& ( lamProp = $true )
& ( theeq = $true )
& ( exuE1 = $true )
& ( inCongP = $true )
& ( dpsetconstrEL1 = $true )
& ( iftrueProp2 = $true )
& ( setunion__Cong = $true )
& ( binintersectSubset2 = $true )
& ( emptysetimpfalse = $true )
& ( subsetRefl = $true )
& ( funcGraphProp3 = $true )
& ( iffalseProp2 = $true )
& ( subsetTrans = $true )
& ( dsetconstrI = $true )
& ( nonemptyI1 = $true )
& ( dpsetconstrI = $true )
& ( binintersectSubset4 = $true )
& ( notdallE = $true )
& ( subPowSU = $true )
& ( brelnall2 = $true )
& ( secondinupair = $true )
& ( exuE3u = $true )
& ( iftrueorfalse = $true )
& ( singletoninpowerset = $true )
& ( powersetE1 = $true )
& ( setminusI = $true )
& ( eta2 = $true )
& ( descr__Cong = $true )
& ( ifp = $true )
& ( binunionIL = $true )
& ( setunionE = $true )
& ( singletoninpowunion = $true )
& ( ex1I = $true )
& ( apProp = $true )
& ( upairsetIR = $true )
& ( eqimpsubset1 = $true )
& ( cartprodpairmemEL = $true )
& ( setunionsingleton = $true )
& ( binunionEcases = $true )
& ( notdexE = $true )
& ( setminusILneg = $true )
& ( foundationAx = $true )
& ( setOfPairsIsBReln = $true )
& ( omega0Ax = $true )
& ( sepSubset = $true )
& ( powersetsubset = $true )
& ( powersetTI1 = $true )
& ( setadjoinSub2 = $true )
& ( ex1E1 = $true )
& ( dpsetconstrEL2 = $true )
& ( setukpairinjR = $true )
& ( upairinpowunion = $true )
& ( exuI2 = $true )
& ( binintersectTELcontra = $true )
& ( cartprodmempaircEq = $true )
& ( powersetI = $true )
& ( iffalse = $true )
& ( setukpairIL = $true )
& ( eqinunit = $true )
& ( ap2p = $true )
& ( setunionsingleton1 = $true )
& ( funcextLem = $true )
& ( symdiffIneg1 = $true )
& ( descrp = $true )
& ( binunionE = $true )
& ( vacuousDall = $true )
& ( funcinfuncset = $true )
& ( emptyE1 = $true )
& ( setminusT_lem = $true )
& ( emptyInPowerset = $true )
& ( subsetI2 = $true )
& ( ksndpairEq = $true )
& ( emptysetAx = $true )
& ( sepInPowerset = $true )
& ( setukpairinjR11 = $true )
& ( exu__Cong = $true )
& ( noeltsimpempty = $true )
& ( eqimpsubset2 = $true )
& ( binintersectSubset1 = $true )
& ( setunionI = $true )
& ( setoftrueEq = $true )
& ( notinsingleton = $true )
& ( powersetI1 = $true )
& ( exuE2 = $true )
& ( exuI1 = $true )
& ( powersetAx = $true )
& ( setminusSubset1 = $true )
& ( iftrue = $true )
& ( exuEu = $true )
& ( quantDeMorgan2 = $true )
& ( setext = $true )
& ( omega__Cong = $true )
& ( funcext = $true )
& ( dpsetconstrSub = $true )
& ( powersetTE1 = $true )
& ( setukpairinjL2 = $true )
& ( lamp = $true )
& ( cartprodpairsurjEq = $true )
& ( setukpairinjR12 = $true )
& ( powerset__Cong = $true )
& ( kfstpairEq = $true )
& ( nonemptyImpWitness = $true )
& ( eqbreln = $true )
& ( setunionE2 = $true )
& ( setukpairIR = $true )
& ( cartprodmempair = $true )
& ( omegaSAx = $true )
& ( lam2lamEq = $true )
& ( binintersectRsub = $true )
& ( singletonsswitch = $true )
& ( setadjoinAx = $true )
& ( setminusER = $true )
& ( beta2 = $true )
& ( nonemptyE1 = $true )
& ( binintersectTERcontra = $true )
& ( symdiffIneg2 = $true )
& ( subsetI1 = $true )
& ( setminusEL = $true )
& ( prop2setI = $true )
& ( iffalseProp1 = $true )
& ( setbeta = $true )
& ( funcGraphProp2 = $true )
& ( ksndsingleton = $true )
& ( emptyinunitempty = $true )
& ( setminusSubset2 = $true )
& ( upairset2IR = $true )
& ( setukpairinjR2 = $true )
& ( binunionRsub = $true )
& ( subsetE2 = $true )
& ( inPowerset = $true )
& ( kpairp = $true )
& ( emptysetsubset = $true )
& ( ubforcartprodlem2 = $true )
& ( dsetconstrEL = $true )
& ( in__Cong = $true )
& ( bs114d = $true )
& ( nonemptyI = $true )
& ( setadjoinIR = $true )
& ( subbreln = $true )
& ( binintersectI = $true )
& ( binintersectT_lem = $true )
& ( uniqinunit = $true )
& ( setukpairinjL = $true )
& ( beta1 = $true )
& ( binintersectLsub = $true )
& ( omegaIndAx = $true )
& ( replAx = $true )
& ( cartprodsndpairEq = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset5 = $true )
& ( symdiffI2 = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( notsubsetI = $true )
& ( setunionAx = $true )
& ( setukpairinjL1 = $true )
& ( setunionsingleton2 = $true )
& ( contrasubsetT1 = $true )
& ( lam2p = $true )
& ( contrasubsetT = $true )
& ( singletonsuniq = $true )
& ( complementTI1 = $true )
& ( kpairsurjEq = $true )
& ( cartprodpairmemER = $true )
& ( dpsetconstrER = $true )
& ( notequalI2 = $true )
& ( quantDeMorgan3 = $true )
& ( upairsetIL = $true )
& ( subset2powerset = $true )
& ( wellorderingAx = $true )
& ( theprop = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X2 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
!= $true ) ) )
& ( cartprodfstin = $true )
& ( kpairiskpair = $true )
& ( ubforcartprodlem1 = $true )
& ( emptyI = $true )
& ( cartprodfstpairEq = $true )
& ( binunionLsub = $true )
& ( emptysetE = $true )
& ( emptyset__Cong = $true )
& ( binunionIR = $true )
& ( disjointsetsI1 = $true )
& ( singletonprop = $true )
& ( quantDeMorgan4 = $true )
& ( complementT_lem = $true )
& ( dpsetconstrERa = $true )
& ( iftrueProp1 = $true ) ),
inference(flattening,[],[f1007]) ).
thf(f1017,plain,
( ( setminusIRneg = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
!= $true )
| ( ( in @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f736]) ).
thf(f1141,plain,
( ( cartprodpairin = $true )
& ( setadjoinE = $true )
& ( contrasubsetT2 = $true )
& ( binintersectEL = $true )
& ( funcImageSingleton = $true )
& ( setminusLsub = $true )
& ( exuI3 = $true )
& ( ifSingleton = $true )
& ( ap2apEq1 = $true )
& ( symdiffI1 = $true )
& ( setextsub = $true )
& ( setadjoinIL = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjR1 = $true )
& ( setminusIRneg = $true )
& ( prop2setE = $true )
& ( complementTE1 = $true )
& ( setextT = $true )
& ( subsetTI = $true )
& ( binintersectER = $true )
& ( notinemptyset = $true )
& ( contrasubsetT3 = $true )
& ( funcext2 = $true )
& ( eta1 = $true )
& ( powersetE = $true )
& ( kfstsingleton = $true )
& ( subsetemptysetimpeq = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( symdiffE = $true )
& ( cartprodmempair1 = $true )
& ( exuE3e = $true )
& ( binunionT_lem = $true )
& ( dsetconstr__Cong = $true )
& ( upairset2E = $true )
& ( app = $true )
& ( brelnall1 = $true )
& ( upairsubunion = $true )
& ( dsetconstrER = $true )
& ( prop2set2propI = $true )
& ( emptyinPowerset = $true )
& ( funcGraphProp1 = $true )
& ( powersetT_lem = $true )
& ( binintersectSubset3 = $true )
& ( upairsetE = $true )
& ( subsetE = $true )
& ( notequalI1 = $true )
& ( ex1I2 = $true )
& ( quantDeMorgan1 = $true )
& ( setadjoinOr = $true )
& ( ap2apEq2 = $true )
& ( cartprodsndin = $true )
& ( ubforcartprodlem3 = $true )
& ( funcGraphProp4 = $true )
& ( setextAx = $true )
& ( ex1E2 = $true )
& ( infuncsetfunc = $true )
& ( lamProp = $true )
& ( theeq = $true )
& ( exuE1 = $true )
& ( inCongP = $true )
& ( dpsetconstrEL1 = $true )
& ( iftrueProp2 = $true )
& ( setunion__Cong = $true )
& ( binintersectSubset2 = $true )
& ( emptysetimpfalse = $true )
& ( subsetRefl = $true )
& ( funcGraphProp3 = $true )
& ( iffalseProp2 = $true )
& ( subsetTrans = $true )
& ( dsetconstrI = $true )
& ( nonemptyI1 = $true )
& ( dpsetconstrI = $true )
& ( binintersectSubset4 = $true )
& ( notdallE = $true )
& ( subPowSU = $true )
& ( brelnall2 = $true )
& ( secondinupair = $true )
& ( exuE3u = $true )
& ( iftrueorfalse = $true )
& ( singletoninpowerset = $true )
& ( powersetE1 = $true )
& ( setminusI = $true )
& ( eta2 = $true )
& ( descr__Cong = $true )
& ( ifp = $true )
& ( binunionIL = $true )
& ( setunionE = $true )
& ( singletoninpowunion = $true )
& ( ex1I = $true )
& ( apProp = $true )
& ( upairsetIR = $true )
& ( eqimpsubset1 = $true )
& ( cartprodpairmemEL = $true )
& ( setunionsingleton = $true )
& ( binunionEcases = $true )
& ( notdexE = $true )
& ( setminusILneg = $true )
& ( foundationAx = $true )
& ( setOfPairsIsBReln = $true )
& ( omega0Ax = $true )
& ( sepSubset = $true )
& ( powersetsubset = $true )
& ( powersetTI1 = $true )
& ( setadjoinSub2 = $true )
& ( ex1E1 = $true )
& ( dpsetconstrEL2 = $true )
& ( setukpairinjR = $true )
& ( upairinpowunion = $true )
& ( exuI2 = $true )
& ( binintersectTELcontra = $true )
& ( cartprodmempaircEq = $true )
& ( powersetI = $true )
& ( iffalse = $true )
& ( setukpairIL = $true )
& ( eqinunit = $true )
& ( ap2p = $true )
& ( setunionsingleton1 = $true )
& ( funcextLem = $true )
& ( symdiffIneg1 = $true )
& ( descrp = $true )
& ( binunionE = $true )
& ( vacuousDall = $true )
& ( funcinfuncset = $true )
& ( emptyE1 = $true )
& ( setminusT_lem = $true )
& ( emptyInPowerset = $true )
& ( subsetI2 = $true )
& ( ksndpairEq = $true )
& ( emptysetAx = $true )
& ( sepInPowerset = $true )
& ( setukpairinjR11 = $true )
& ( exu__Cong = $true )
& ( noeltsimpempty = $true )
& ( eqimpsubset2 = $true )
& ( binintersectSubset1 = $true )
& ( setunionI = $true )
& ( setoftrueEq = $true )
& ( notinsingleton = $true )
& ( powersetI1 = $true )
& ( exuE2 = $true )
& ( exuI1 = $true )
& ( powersetAx = $true )
& ( setminusSubset1 = $true )
& ( iftrue = $true )
& ( exuEu = $true )
& ( quantDeMorgan2 = $true )
& ( setext = $true )
& ( omega__Cong = $true )
& ( funcext = $true )
& ( dpsetconstrSub = $true )
& ( powersetTE1 = $true )
& ( setukpairinjL2 = $true )
& ( lamp = $true )
& ( cartprodpairsurjEq = $true )
& ( setukpairinjR12 = $true )
& ( powerset__Cong = $true )
& ( kfstpairEq = $true )
& ( nonemptyImpWitness = $true )
& ( eqbreln = $true )
& ( setunionE2 = $true )
& ( setukpairIR = $true )
& ( cartprodmempair = $true )
& ( omegaSAx = $true )
& ( lam2lamEq = $true )
& ( binintersectRsub = $true )
& ( singletonsswitch = $true )
& ( setadjoinAx = $true )
& ( setminusER = $true )
& ( beta2 = $true )
& ( nonemptyE1 = $true )
& ( binintersectTERcontra = $true )
& ( symdiffIneg2 = $true )
& ( subsetI1 = $true )
& ( setminusEL = $true )
& ( prop2setI = $true )
& ( iffalseProp1 = $true )
& ( setbeta = $true )
& ( funcGraphProp2 = $true )
& ( ksndsingleton = $true )
& ( emptyinunitempty = $true )
& ( setminusSubset2 = $true )
& ( upairset2IR = $true )
& ( setukpairinjR2 = $true )
& ( binunionRsub = $true )
& ( subsetE2 = $true )
& ( inPowerset = $true )
& ( kpairp = $true )
& ( emptysetsubset = $true )
& ( ubforcartprodlem2 = $true )
& ( dsetconstrEL = $true )
& ( in__Cong = $true )
& ( bs114d = $true )
& ( nonemptyI = $true )
& ( setadjoinIR = $true )
& ( subbreln = $true )
& ( binintersectI = $true )
& ( binintersectT_lem = $true )
& ( uniqinunit = $true )
& ( setukpairinjL = $true )
& ( beta1 = $true )
& ( binintersectLsub = $true )
& ( omegaIndAx = $true )
& ( replAx = $true )
& ( cartprodsndpairEq = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset5 = $true )
& ( symdiffI2 = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( notsubsetI = $true )
& ( setunionAx = $true )
& ( setukpairinjL1 = $true )
& ( setunionsingleton2 = $true )
& ( contrasubsetT1 = $true )
& ( lam2p = $true )
& ( contrasubsetT = $true )
& ( singletonsuniq = $true )
& ( complementTI1 = $true )
& ( kpairsurjEq = $true )
& ( cartprodpairmemER = $true )
& ( dpsetconstrER = $true )
& ( notequalI2 = $true )
& ( quantDeMorgan3 = $true )
& ( upairsetIL = $true )
& ( subset2powerset = $true )
& ( wellorderingAx = $true )
& ( theprop = $true )
& ( ( in @ sK93 @ ( powerset @ sK94 ) )
= $true )
& ( ( in @ sK95 @ sK94 )
= $true )
& ( ( in @ sK95 @ sK93 )
= $true )
& ( $true
!= ( in @ sK95 @ ( setminus @ sK94 @ ( setminus @ sK94 @ sK93 ) ) ) )
& ( cartprodfstin = $true )
& ( kpairiskpair = $true )
& ( ubforcartprodlem1 = $true )
& ( emptyI = $true )
& ( cartprodfstpairEq = $true )
& ( binunionLsub = $true )
& ( emptysetE = $true )
& ( emptyset__Cong = $true )
& ( binunionIR = $true )
& ( disjointsetsI1 = $true )
& ( singletonprop = $true )
& ( quantDeMorgan4 = $true )
& ( complementT_lem = $true )
& ( dpsetconstrERa = $true )
& ( iftrueProp1 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93,sK94,sK95]),skolemize(X0,sK93),skolemize(X1,sK94),skolemize(X2,sK95)],[f1008]) ).
thf(f1359,plain,
( ( ( setminusI = $true )
| ? [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
!= $true )
& ( ( in @ X0 @ X2 )
= $true )
& ( ( in @ X0 @ X1 )
!= $true ) ) )
& ( ! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X0 @ X1 )
= $true ) )
| ( setminusI != $true ) ) ),
inference(nnf_transformation,[],[f1005]) ).
thf(f1360,plain,
( ( ( setminusI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( setminus @ X1 @ X2 ) )
!= $true )
& ( ( in @ X0 @ X1 )
= $true )
& ( ( in @ X0 @ X2 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ ( setminus @ X4 @ X5 ) )
= $true )
| ( ( in @ X3 @ X4 )
!= $true )
| ( ( in @ X3 @ X5 )
= $true ) )
| ( setminusI != $true ) ) ),
inference(rectify,[],[f1359]) ).
thf(f1361,plain,
( ( ( setminusI = $true )
| ( ( $true
!= ( in @ sK315 @ ( setminus @ sK316 @ sK317 ) ) )
& ( ( in @ sK315 @ sK316 )
= $true )
& ( $true
!= ( in @ sK315 @ sK317 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ ( setminus @ X4 @ X5 ) )
= $true )
| ( ( in @ X3 @ X4 )
!= $true )
| ( ( in @ X3 @ X5 )
= $true ) )
| ( setminusI != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315,sK316,sK317]),skolemize(X0,sK315),skolemize(X1,sK316),skolemize(X2,sK317)],[f1360]) ).
thf(f1371,plain,
( ( ( setminusIRneg = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
= $true )
& ( ( in @ X0 @ X1 )
= $true ) ) )
& ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( setminus @ X2 @ X1 ) )
!= $true )
| ( ( in @ X0 @ X1 )
!= $true ) )
| ( setminusIRneg != $true ) ) ),
inference(nnf_transformation,[],[f1017]) ).
thf(f1372,plain,
( ( ( setminusIRneg = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X1 @ X2 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( setminus @ X3 @ X5 ) )
!= $true )
| ( ( in @ X4 @ X5 )
!= $true ) )
| ( setminusIRneg != $true ) ) ),
inference(rectify,[],[f1371]) ).
thf(f1373,plain,
( ( ( setminusIRneg = $true )
| ( ( ( in @ sK330 @ ( setminus @ sK329 @ sK331 ) )
= $true )
& ( ( in @ sK330 @ sK331 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( setminus @ X3 @ X5 ) )
!= $true )
| ( ( in @ X4 @ X5 )
!= $true ) )
| ( setminusIRneg != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK329,sK330,sK331]),skolemize(X0,sK329),skolemize(X1,sK330),skolemize(X2,sK331)],[f1372]) ).
thf(f1932,plain,
( $true
!= ( in @ sK95 @ ( setminus @ sK94 @ ( setminus @ sK94 @ sK93 ) ) ) ),
inference(cnf_transformation,[],[f1141]) ).
thf(f1933,plain,
( ( in @ sK95 @ sK93 )
= $true ),
inference(cnf_transformation,[],[f1141]) ).
thf(f1934,plain,
( ( in @ sK95 @ sK94 )
= $true ),
inference(cnf_transformation,[],[f1141]) ).
thf(f2081,plain,
setminusI = $true,
inference(cnf_transformation,[],[f1141]) ).
thf(f2149,plain,
setminusIRneg = $true,
inference(cnf_transformation,[],[f1141]) ).
thf(f2449,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ ( setminus @ X4 @ X5 ) )
= $true )
| ( setminusI != $true )
| ( ( in @ X3 @ X5 )
= $true )
| ( ( in @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f1361]) ).
thf(f2468,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( setminusIRneg != $true )
| ( ( in @ X4 @ X5 )
!= $true )
| ( ( in @ X4 @ ( setminus @ X3 @ X5 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1373]) ).
thf(f3422,definition,
( spl764_32
<=> ( $true
= ( in @ sK95 @ ( setminus @ sK94 @ ( setminus @ sK94 @ sK93 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl764_32])],[avatar_definition]) ).
thf(f3424,plain,
( ( $true
!= ( in @ sK95 @ ( setminus @ sK94 @ ( setminus @ sK94 @ sK93 ) ) ) )
| spl764_32 ),
inference(avatar_component_clause,[],[f3422]) ).
thf(f3425,plain,
~ spl764_32,
inference(avatar_split_clause,[],[f1932,f3422]) ).
thf(f3906,definition,
( spl764_142
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( ( in @ X3 @ X4 )
!= $true )
| ( ( in @ X3 @ X5 )
= $true )
| ( ( in @ X3 @ ( setminus @ X4 @ X5 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl764_142])],[avatar_definition]) ).
thf(f3907,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ ( setminus @ X4 @ X5 ) )
= $true )
| ( ( in @ X3 @ X5 )
= $true )
| ( ( in @ X3 @ X4 )
!= $true ) )
| ~ spl764_142 ),
inference(avatar_component_clause,[],[f3906]) ).
thf(f4923,definition,
( spl764_368
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ ( setminus @ X0 @ X2 ) )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl764_368])],[avatar_definition]) ).
thf(f4924,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ ( setminus @ X0 @ X2 ) )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) )
| ~ spl764_368 ),
inference(avatar_component_clause,[],[f4923]) ).
thf(f5132,definition,
( spl764_415
<=> ( setminusIRneg = $true ) ),
introduced(definition,[new_symbols(definition,[spl764_415])],[avatar_definition]) ).
thf(f5372,definition,
( spl764_466
<=> ( ( in @ sK95 @ sK93 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl764_466])],[avatar_definition]) ).
thf(f5374,plain,
( ( ( in @ sK95 @ sK93 )
= $true )
| ~ spl764_466 ),
inference(avatar_component_clause,[],[f5372]) ).
thf(f5375,plain,
spl764_466,
inference(avatar_split_clause,[],[f1933,f5372]) ).
thf(f6494,definition,
( spl764_705
<=> ( setminusI = $true ) ),
introduced(definition,[new_symbols(definition,[spl764_705])],[avatar_definition]) ).
thf(f6497,plain,
( spl764_142
| ~ spl764_705 ),
inference(avatar_split_clause,[],[f2449,f6494,f3906]) ).
thf(f6731,plain,
spl764_415,
inference(avatar_split_clause,[],[f2149,f5132]) ).
thf(f7227,plain,
spl764_705,
inference(avatar_split_clause,[],[f2081,f6494]) ).
thf(f8362,definition,
( spl764_1088
<=> ( ( in @ sK95 @ sK94 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl764_1088])],[avatar_definition]) ).
thf(f8364,plain,
( ( ( in @ sK95 @ sK94 )
= $true )
| ~ spl764_1088 ),
inference(avatar_component_clause,[],[f8362]) ).
thf(f8365,plain,
spl764_1088,
inference(avatar_split_clause,[],[f1934,f8362]) ).
thf(f8683,plain,
( ~ spl764_415
| spl764_368 ),
inference(avatar_split_clause,[],[f2468,f4923,f5132]) ).
thf(f10879,plain,
( ( ( in @ sK95 @ sK94 )
!= $true )
| ( ( in @ sK95 @ ( setminus @ sK94 @ sK93 ) )
= $true )
| ( $true != $true )
| spl764_32
| ~ spl764_142 ),
inference(superposition,[],[f3424,f3907]) ).
thf(f10894,plain,
( ( ( in @ sK95 @ ( setminus @ sK94 @ sK93 ) )
= $true )
| ( ( in @ sK95 @ sK94 )
!= $true )
| spl764_32
| ~ spl764_142 ),
inference(trivial_inequality_removal,[],[f10879]) ).
thf(f10895,plain,
( ( ( in @ sK95 @ ( setminus @ sK94 @ sK93 ) )
= $true )
| spl764_32
| ~ spl764_142
| ~ spl764_1088 ),
inference(forward_subsumption_resolution,[],[f10894,f8364]) ).
thf(f10897,definition,
( spl764_1254
<=> ( ( in @ sK95 @ ( setminus @ sK94 @ sK93 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl764_1254])],[avatar_definition]) ).
thf(f10899,plain,
( ( ( in @ sK95 @ ( setminus @ sK94 @ sK93 ) )
= $true )
| ~ spl764_1254 ),
inference(avatar_component_clause,[],[f10897]) ).
thf(f10900,plain,
( spl764_1254
| spl764_32
| ~ spl764_142
| ~ spl764_1088 ),
inference(avatar_split_clause,[],[f10895,f8362,f3906,f3422,f10897]) ).
thf(f11280,plain,
( ( ( in @ sK95 @ sK93 )
!= $true )
| ( $true != $true )
| ~ spl764_368
| ~ spl764_1254 ),
inference(superposition,[],[f4924,f10899]) ).
thf(f11287,plain,
( ( ( in @ sK95 @ sK93 )
!= $true )
| ~ spl764_368
| ~ spl764_1254 ),
inference(trivial_inequality_removal,[],[f11280]) ).
thf(f11299,plain,
( $false
| ~ spl764_368
| ~ spl764_466
| ~ spl764_1254 ),
inference(forward_subsumption_resolution,[],[f11287,f5374]) ).
thf(f11300,plain,
( ~ spl764_368
| ~ spl764_466
| ~ spl764_1254 ),
inference(avatar_contradiction_clause,[],[f11299]) ).
cnf(s22,plain,
~ spl764_32,
inference(sat_conversion,[],[f3425]) ).
cnf(s349,plain,
spl764_466,
inference(sat_conversion,[],[f5375]) ).
cnf(s593,plain,
( spl764_142
| ~ spl764_705 ),
inference(sat_conversion,[],[f6497]) ).
cnf(s659,plain,
spl764_415,
inference(sat_conversion,[],[f6731]) ).
cnf(s793,plain,
spl764_705,
inference(sat_conversion,[],[f7227]) ).
cnf(s1083,plain,
spl764_1088,
inference(sat_conversion,[],[f8365]) ).
cnf(s1166,plain,
( spl764_368
| ~ spl764_415 ),
inference(sat_conversion,[],[f8683]) ).
cnf(s1279,plain,
( spl764_32
| ~ spl764_142
| ~ spl764_1088
| spl764_1254 ),
inference(sat_conversion,[],[f10900]) ).
cnf(s1284,plain,
( ~ spl764_368
| ~ spl764_466
| ~ spl764_1254 ),
inference(sat_conversion,[],[f11300]) ).
cnf(s1339,plain,
spl764_368,
inference(rat,[],[s1166,s659]) ).
cnf(s1364,plain,
spl764_142,
inference(rat,[],[s593,s793]) ).
cnf(s1445,plain,
~ spl764_1254,
inference(rat,[],[s1284,s1339,s349]) ).
cnf(s1447,plain,
spl764_32,
inference(rat,[],[s1279,s1364,s1083,s1445]) ).
cnf(s1610,plain,
$false,
inference(rat,[],[s22,s1447]) ).
thf(f11306,plain,
$false,
inference(avatar_sat_refutation,[],[s1610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU727^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n006.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 14:17:09 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.27 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
% 0.64/0.43 % (787084)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.64/0.43 % (787100)lrs+10_16_si=on:nwc=1.5:random_seed=1379383858:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.64/0.43 % (787105)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.64/0.43 % (787105)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
% 0.64/0.43 % (787100)Instruction limit reached!
% 0.64/0.43 % (787100)------------------------------
% 0.64/0.43 % (787100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.43 % (787100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.43 % (787100)CaDiCaL version: 2.1.3
% 0.64/0.43 % (787100)Termination reason: Instruction limit
% 0.64/0.43 % (787100)Termination phase: shuffling
% 0.64/0.43 % (787100)Time elapsed: 0.004 s
% 0.64/0.43 % (787100)Peak memory usage: 10 MB
% 0.64/0.43 % (787100)Instructions burned: 19 (million)
% 0.64/0.43 % (787105)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=766559475:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.64/0.43 % (787099)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2390960099:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.64/0.43 % (787101)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3496242606:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.64/0.43 % (787103)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3455721922:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.64/0.43 % (787102)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=655041135: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)
% 0.64/0.43 % (787101)Instruction limit reached!
% 0.64/0.43 % (787101)------------------------------
% 0.64/0.43 % (787101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.43 % (787101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.43 % (787101)CaDiCaL version: 2.1.3
% 0.64/0.43 % (787101)Termination reason: Instruction limit
% 0.64/0.43 % (787101)Termination phase: shuffling
% 0.64/0.43 % (787101)Time elapsed: 0.002 s
% 0.64/0.43 % (787101)Peak memory usage: 10 MB
% 0.64/0.43 % (787101)Instructions burned: 3 (million)
% 0.64/0.43 % (787103)Instruction limit reached!
% 0.64/0.43 % (787103)------------------------------
% 0.64/0.43 % (787103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.43 % (787103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.43 % (787103)CaDiCaL version: 2.1.3
% 0.64/0.43 % (787103)Termination reason: Instruction limit
% 0.64/0.43 % (787103)Termination phase: Property scanning
% 0.64/0.43 % (787103)Time elapsed: 0.011 s
% 0.64/0.43 % (787103)Peak memory usage: 11 MB
% 0.64/0.43 % (787103)Instructions burned: 24 (million)
% 0.64/0.43 % (787104)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3604161671:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.64/0.43 % (787116)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2733236447:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.64/0.43 % (787119)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.43 % (787110)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3278624749:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.64/0.43 % (787119)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3938316594:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.64/0.43 % (787116)Instruction limit reached!
% 0.64/0.43 % (787116)------------------------------
% 0.64/0.43 % (787116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787116)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787116)Termination reason: Instruction limit
% 0.64/0.47 % (787116)Termination phase: shuffling
% 0.64/0.47 % (787116)Time elapsed: 0.003 s
% 0.64/0.47 % (787116)Peak memory usage: 10 MB
% 0.64/0.47 % (787116)Instructions burned: 6 (million)
% 0.64/0.47 % (787110)Instruction limit reached!
% 0.64/0.47 % (787110)------------------------------
% 0.64/0.47 % (787110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787110)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787110)Termination reason: Instruction limit
% 0.64/0.47 % (787110)Termination phase: shuffling
% 0.64/0.47 % (787110)Time elapsed: 0.002 s
% 0.64/0.47 % (787110)Peak memory usage: 10 MB
% 0.64/0.47 % (787110)Instructions burned: 3 (million)
% 0.64/0.47 % (787119)Instruction limit reached!
% 0.64/0.47 % (787119)------------------------------
% 0.64/0.47 % (787119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787119)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787119)Termination reason: Instruction limit
% 0.64/0.47 % (787119)Termination phase: shuffling
% 0.64/0.47 % (787119)Time elapsed: 0.006 s
% 0.64/0.47 % (787119)Peak memory usage: 10 MB
% 0.64/0.47 % (787119)Instructions burned: 9 (million)
% 0.64/0.47 % (787099)Instruction limit reached!
% 0.64/0.47 % (787099)------------------------------
% 0.64/0.47 % (787099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787099)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787099)Termination reason: Instruction limit
% 0.64/0.47 % (787099)Termination phase: Preprocessing 3
% 0.64/0.47 % (787099)Time elapsed: 0.041 s
% 0.64/0.47 % (787099)Peak memory usage: 13 MB
% 0.64/0.47 % (787099)Instructions burned: 89 (million)
% 0.64/0.47 % (787125)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3228396616:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.64/0.47 % (787126)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
% 0.64/0.47 % (787126)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.64/0.47 % (787125)Instruction limit reached!
% 0.64/0.47 % (787125)------------------------------
% 0.64/0.47 % (787125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787125)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787125)Termination reason: Instruction limit
% 0.64/0.47 % (787125)Termination phase: shuffling
% 0.64/0.47 % (787125)Time elapsed: 0.003 s
% 0.64/0.47 % (787125)Peak memory usage: 11 MB
% 0.64/0.47 % (787125)Instructions burned: 13 (million)
% 0.64/0.47 % (787126)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3250614778:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.64/0.47 % (787127)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=3044619803:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.64/0.47 % (787104)Instruction limit reached!
% 0.64/0.47 % (787104)------------------------------
% 0.64/0.47 % (787104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (787104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (787104)CaDiCaL version: 2.1.3
% 0.64/0.47 % (787104)Termination reason: Instruction limit
% 0.64/0.47 % (787104)Termination phase: Preprocessing 3
% 0.64/0.47 % (787104)Time elapsed: 0.035 s
% 0.64/0.47 % (787104)Peak memory usage: 12 MB
% 0.64/0.47 % (787104)Instructions burned: 76 (million)
% 0.64/0.47 % (787130)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.64/0.47 % (787126)Instruction limit reached!
% 0.64/0.47 % (787126)------------------------------
% 0.64/0.47 % (787126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787126)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787126)Termination reason: Instruction limit
% 1.27/0.50 % (787126)Termination phase: shuffling
% 1.27/0.50 % (787126)Time elapsed: 0.013 s
% 1.27/0.50 % (787126)Peak memory usage: 10 MB
% 1.27/0.50 % (787126)Instructions burned: 29 (million)
% 1.27/0.50 % (787130)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=3783396844:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.27/0.50 % (787130)Instruction limit reached!
% 1.27/0.50 % (787130)------------------------------
% 1.27/0.50 % (787130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787130)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787130)Termination reason: Instruction limit
% 1.27/0.50 % (787130)Termination phase: shuffling
% 1.27/0.50 % (787130)Time elapsed: 0.002 s
% 1.27/0.50 % (787130)Peak memory usage: 10 MB
% 1.27/0.50 % (787130)Instructions burned: 3 (million)
% 1.27/0.50 % (787127)Instruction limit reached!
% 1.27/0.50 % (787127)------------------------------
% 1.27/0.50 % (787127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787127)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787127)Termination reason: Instruction limit
% 1.27/0.50 % (787127)Termination phase: Property scanning
% 1.27/0.50 % (787127)Time elapsed: 0.018 s
% 1.27/0.50 % (787127)Peak memory usage: 11 MB
% 1.27/0.50 % (787127)Instructions burned: 87 (million)
% 1.27/0.50 % (787129)lrs+10_1_si=on:cs=on:random_seed=546001978:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.27/0.50 % (787105)Instruction limit reached!
% 1.27/0.50 % (787105)------------------------------
% 1.27/0.50 % (787105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787105)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787105)Termination reason: Instruction limit
% 1.27/0.50 % (787105)Termination phase: Saturation
% 1.27/0.50 % (787105)Time elapsed: 0.074 s
% 1.27/0.50 % (787105)Peak memory usage: 13 MB
% 1.27/0.50 % (787105)Instructions burned: 157 (million)
% 1.27/0.50 % (787129)Instruction limit reached!
% 1.27/0.50 % (787129)------------------------------
% 1.27/0.50 % (787129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787129)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787129)Termination reason: Instruction limit
% 1.27/0.50 % (787129)Termination phase: shuffling
% 1.27/0.50 % (787129)Time elapsed: 0.004 s
% 1.27/0.50 % (787129)Peak memory usage: 10 MB
% 1.27/0.50 % (787129)Instructions burned: 8 (million)
% 1.27/0.50 % (787133)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2658605757:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.27/0.50 % (787137)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1385671829:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.50 % (787134)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2927168928:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.27/0.50 % (787137)Instruction limit reached!
% 1.27/0.50 % (787137)------------------------------
% 1.27/0.50 % (787137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (787137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (787137)CaDiCaL version: 2.1.3
% 1.27/0.50 % (787137)Termination reason: Instruction limit
% 1.27/0.50 % (787137)Termination phase: shuffling
% 1.27/0.50 % (787137)Time elapsed: 0.004 s
% 1.27/0.50 % (787137)Peak memory usage: 10 MB
% 1.27/0.50 % (787137)Instructions burned: 17 (million)
% 1.27/0.50 % (787136)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2788486019:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.27/0.50 % (787139)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=816192266:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.27/0.56 % (787140)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=486837386:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.56 % (787144)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1104180877:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.27/0.56 % (787133)Instruction limit reached!
% 1.27/0.56 % (787133)------------------------------
% 1.27/0.56 % (787133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (787133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (787133)CaDiCaL version: 2.1.3
% 1.27/0.56 % (787133)Termination reason: Instruction limit
% 1.27/0.56 % (787133)Termination phase: SInE selection
% 1.27/0.56 % (787133)Time elapsed: 0.017 s
% 1.27/0.56 % (787133)Peak memory usage: 11 MB
% 1.27/0.56 % (787133)Instructions burned: 39 (million)
% 1.27/0.56 % (787144)Instruction limit reached!
% 1.27/0.56 % (787144)------------------------------
% 1.27/0.56 % (787144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (787144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (787144)CaDiCaL version: 2.1.3
% 1.27/0.56 % (787144)Termination reason: Instruction limit
% 1.27/0.56 % (787144)Termination phase: shuffling
% 1.27/0.56 % (787144)Time elapsed: 0.0000 s
% 1.27/0.56 % (787144)Peak memory usage: 10 MB
% 1.27/0.56 % (787144)Instructions burned: 2 (million)
% 1.27/0.56 % (787136)Instruction limit reached!
% 1.27/0.56 % (787136)------------------------------
% 1.27/0.56 % (787136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (787136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (787136)CaDiCaL version: 2.1.3
% 1.27/0.56 % (787136)Termination reason: Instruction limit
% 1.27/0.56 % (787136)Termination phase: Property scanning
% 1.27/0.56 % (787136)Time elapsed: 0.012 s
% 1.27/0.56 % (787136)Peak memory usage: 10 MB
% 1.27/0.56 % (787136)Instructions burned: 27 (million)
% 1.27/0.56 % (787140)Instruction limit reached!
% 1.27/0.56 % (787140)------------------------------
% 1.27/0.56 % (787140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (787140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (787140)CaDiCaL version: 2.1.3
% 1.27/0.56 % (787140)Termination reason: Instruction limit
% 1.27/0.56 % (787140)Termination phase: shuffling
% 1.27/0.56 % (787140)Time elapsed: 0.010 s
% 1.27/0.56 % (787140)Peak memory usage: 10 MB
% 1.27/0.56 % (787140)Instructions burned: 22 (million)
% 1.27/0.56 % (787150)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=915650818:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.27/0.56 % (787150)Instruction limit reached!
% 1.27/0.56 % (787150)------------------------------
% 1.27/0.56 % (787150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (787150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (787150)CaDiCaL version: 2.1.3
% 1.27/0.56 % (787150)Termination reason: Instruction limit
% 1.27/0.56 % (787150)Termination phase: shuffling
% 1.27/0.56 % (787150)Time elapsed: 0.006 s
% 1.27/0.56 % (787150)Peak memory usage: 10 MB
% 1.27/0.56 % (787150)Instructions burned: 26 (million)
% 1.27/0.56 % (787149)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=347198940:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.27/0.56 % (787151)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3300332757:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.27/0.56 % (787152)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.27/0.56 % (787152)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.27/0.56 % (787152)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=152671376:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.85/0.61 % (787155)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.85/0.61 % (787155)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=2952191808:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.85/0.61 % (787149)Instruction limit reached!
% 1.85/0.61 % (787149)------------------------------
% 1.85/0.61 % (787149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (787149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (787149)CaDiCaL version: 2.1.3
% 1.85/0.61 % (787149)Termination reason: Instruction limit
% 1.85/0.61 % (787149)Termination phase: shuffling
% 1.85/0.61 % (787149)Time elapsed: 0.012 s
% 1.85/0.61 % (787149)Peak memory usage: 10 MB
% 1.85/0.61 % (787149)Instructions burned: 28 (million)
% 1.85/0.61 % (787155)Instruction limit reached!
% 1.85/0.61 % (787155)------------------------------
% 1.85/0.61 % (787155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.62 % (787155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.62 % (787155)CaDiCaL version: 2.1.3
% 1.85/0.62 % (787155)Termination reason: Instruction limit
% 1.85/0.62 % (787155)Termination phase: shuffling
% 1.85/0.62 % (787155)Time elapsed: 0.003 s
% 1.85/0.62 % (787155)Peak memory usage: 10 MB
% 1.85/0.62 % (787155)Instructions burned: 12 (million)
% 1.85/0.62 % (787152)Instruction limit reached!
% 1.85/0.62 % (787152)------------------------------
% 1.85/0.62 % (787152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.62 % (787152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.62 % (787152)CaDiCaL version: 2.1.3
% 1.85/0.62 % (787152)Termination reason: Instruction limit
% 1.85/0.62 % (787152)Termination phase: shuffling
% 1.85/0.62 % (787152)Time elapsed: 0.008 s
% 1.85/0.62 % (787152)Peak memory usage: 10 MB
% 1.85/0.62 % (787152)Instructions burned: 16 (million)
% 1.85/0.62 % (787160)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4267884903:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.85/0.62 % (787160)Instruction limit reached!
% 1.85/0.62 % (787160)------------------------------
% 1.85/0.62 % (787160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.62 % (787160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.62 % (787160)CaDiCaL version: 2.1.3
% 1.85/0.62 % (787160)Termination reason: Instruction limit
% 1.85/0.62 % (787160)Termination phase: shuffling
% 1.85/0.62 % (787160)Time elapsed: 0.002 s
% 1.85/0.62 % (787160)Peak memory usage: 10 MB
% 1.85/0.62 % (787160)Instructions burned: 9 (million)
% 1.85/0.62 % (787159)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=4114312115:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.85/0.62 % (787151)Instruction limit reached!
% 1.85/0.62 % (787151)------------------------------
% 1.85/0.62 % (787151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.62 % (787151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.62 % (787151)CaDiCaL version: 2.1.3
% 1.85/0.62 % (787151)Termination reason: Instruction limit
% 1.85/0.62 % (787151)Termination phase: Preprocessing 3
% 1.85/0.62 % (787151)Time elapsed: 0.029 s
% 1.85/0.62 % (787151)Peak memory usage: 12 MB
% 1.85/0.62 % (787151)Instructions burned: 62 (million)
% 1.85/0.62 % (787162)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=903516786:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.85/0.62 % (787168)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1301093505:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.85/0.62 % (787168)Instruction limit reached!
% 1.85/0.62 % (787168)------------------------------
% 1.85/0.62 % (787168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.62 % (787168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.62 % (787168)CaDiCaL version: 2.1.3
% 1.85/0.62 % (787168)Termination reason: Instruction limit
% 1.85/0.62 % (787168)Termination phase: shuffling
% 1.85/0.62 % (787168)Time elapsed: 0.005 s
% 1.85/0.63 % (787168)Peak memory usage: 11 MB
% 1.85/0.63 % (787168)Instructions burned: 22 (million)
% 1.85/0.63 % (787159)Instruction limit reached!
% 1.85/0.63 % (787159)------------------------------
% 1.85/0.63 % (787159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787159)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787159)Termination reason: Instruction limit
% 1.85/0.63 % (787159)Termination phase: shuffling
% 1.85/0.63 % (787159)Time elapsed: 0.014 s
% 1.85/0.63 % (787159)Peak memory usage: 10 MB
% 1.85/0.63 % (787159)Instructions burned: 32 (million)
% 1.85/0.63 % (787162)Instruction limit reached!
% 1.85/0.63 % (787162)------------------------------
% 1.85/0.63 % (787162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787162)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787162)Termination reason: Instruction limit
% 1.85/0.63 % (787162)Termination phase: shuffling
% 1.85/0.63 % (787162)Time elapsed: 0.011 s
% 1.85/0.63 % (787162)Peak memory usage: 10 MB
% 1.85/0.63 % (787162)Instructions burned: 24 (million)
% 1.85/0.63 % (787172)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1994525310:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.85/0.63 % (787180)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2821727858:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.85/0.63 % (787181)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1327957219:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.85/0.63 % (787183)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2870910242:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.85/0.63 % (787134)Instruction limit reached!
% 1.85/0.63 % (787134)------------------------------
% 1.85/0.63 % (787134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787134)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787134)Termination reason: Instruction limit
% 1.85/0.63 % (787134)Termination phase: Saturation
% 1.85/0.63 % (787134)Time elapsed: 0.110 s
% 1.85/0.63 % (787134)Peak memory usage: 15 MB
% 1.85/0.63 % (787134)Instructions burned: 250 (million)
% 1.85/0.63 % (787183)Instruction limit reached!
% 1.85/0.63 % (787183)------------------------------
% 1.85/0.63 % (787183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787183)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787183)Termination reason: Instruction limit
% 1.85/0.63 % (787183)Termination phase: Property scanning
% 1.85/0.63 % (787183)Time elapsed: 0.020 s
% 1.85/0.63 % (787183)Peak memory usage: 11 MB
% 1.85/0.63 % (787183)Instructions burned: 47 (million)
% 1.85/0.63 % (787180)Instruction limit reached!
% 1.85/0.63 % (787180)------------------------------
% 1.85/0.63 % (787180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787180)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787180)Termination reason: Instruction limit
% 1.85/0.63 % (787180)Termination phase: Saturation
% 1.85/0.63 % (787180)Time elapsed: 0.032 s
% 1.85/0.63 % (787180)Peak memory usage: 13 MB
% 1.85/0.63 % (787180)Instructions burned: 149 (million)
% 1.85/0.63 % (787200)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.85/0.63 % (787200)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3592108352:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.85/0.63 % (787207)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=1262714680:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.85/0.63 % (787200)Instruction limit reached!
% 1.85/0.63 % (787200)------------------------------
% 1.85/0.63 % (787200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787200)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787200)Termination reason: Instruction limit
% 1.85/0.63 % (787200)Termination phase: shuffling
% 1.85/0.63 % (787200)Time elapsed: 0.004 s
% 1.85/0.63 % (787200)Peak memory usage: 10 MB
% 1.85/0.63 % (787200)Instructions burned: 9 (million)
% 1.85/0.63 % (787204)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2275705213:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.85/0.63 % (787219)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.85/0.63 % (787219)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2822486242:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.85/0.63 % (787219)Instruction limit reached!
% 1.85/0.63 % (787219)------------------------------
% 1.85/0.63 % (787219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787219)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787219)Termination reason: Instruction limit
% 1.85/0.63 % (787219)Termination phase: shuffling
% 1.85/0.63 % (787219)Time elapsed: 0.003 s
% 1.85/0.63 % (787219)Peak memory usage: 10 MB
% 1.85/0.63 % (787219)Instructions burned: 6 (million)
% 1.85/0.63 % (787139)Instruction limit reached!
% 1.85/0.63 % (787139)------------------------------
% 1.85/0.63 % (787139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787139)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787139)Termination reason: Instruction limit
% 1.85/0.63 % (787139)Termination phase: Saturation
% 1.85/0.63 % (787139)Time elapsed: 0.151 s
% 1.85/0.63 % (787139)Peak memory usage: 15 MB
% 1.85/0.63 % (787139)Instructions burned: 329 (million)
% 1.85/0.63 % (787207)Instruction limit reached!
% 1.85/0.63 % (787207)------------------------------
% 1.85/0.63 % (787207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787207)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787207)Termination reason: Instruction limit
% 1.85/0.63 % (787207)Termination phase: Saturation
% 1.85/0.63 % (787207)Time elapsed: 0.038 s
% 1.85/0.63 % (787207)Peak memory usage: 14 MB
% 1.85/0.63 % (787207)Instructions burned: 173 (million)
% 1.85/0.63 % (787227)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1325556612:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 1.85/0.63 % (787181)Instruction limit reached!
% 1.85/0.63 % (787181)------------------------------
% 1.85/0.63 % (787181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787181)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787181)Termination reason: Instruction limit
% 1.85/0.63 % (787181)Termination phase: Saturation
% 1.85/0.63 % (787181)Time elapsed: 0.081 s
% 1.85/0.63 % (787181)Peak memory usage: 14 MB
% 1.85/0.63 % (787181)Instructions burned: 194 (million)
% 1.85/0.63 % (787233)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=3488283986:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 1.85/0.63 % (787229)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1999443680:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 1.85/0.63 % (787227)Instruction limit reached!
% 1.85/0.63 % (787227)------------------------------
% 1.85/0.63 % (787227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787227)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787227)Termination reason: Instruction limit
% 1.85/0.63 % (787227)Termination phase: shuffling
% 1.85/0.63 % (787227)Time elapsed: 0.011 s
% 1.85/0.63 % (787227)Peak memory usage: 10 MB
% 1.85/0.63 % (787227)Instructions burned: 23 (million)
% 1.85/0.63 % (787229)Instruction limit reached!
% 1.85/0.63 % (787229)------------------------------
% 1.85/0.63 % (787229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.63 % (787229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.63 % (787229)CaDiCaL version: 2.1.3
% 1.85/0.63 % (787229)Termination reason: Instruction limit
% 1.85/0.63 % (787229)Termination phase: shuffling
% 1.85/0.63 % (787229)Time elapsed: 0.008 s
% 1.85/0.63 % (787229)Peak memory usage: 10 MB
% 1.85/0.63 % (787229)Instructions burned: 19 (million)
% 1.85/0.63 % (787102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-787084-787102"...
% 1.85/0.63 % (787240)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=3326891072:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 1.85/0.63 % (787102)...printing done.
% 1.85/0.63 % (787102)Refutation found. Thanks to Tanya!
% 1.85/0.63 % SZS status Theorem for theBenchmark
% 1.85/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.63 % (787102)------------------------------
% 2.39/0.63 % (787102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.63 % (787102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.63 % (787102)CaDiCaL version: 2.1.3
% 2.39/0.63 % (787102)Termination reason: Refutation
% 2.39/0.63 % (787102)Time elapsed: 0.275 s
% 2.39/0.63 % (787102)Peak memory usage: 21 MB
% 2.39/0.63 % (787102)Instructions burned: 519 (million)
% 2.39/0.63 % (787084)Success in time 0.35 s
% 2.39/0.63 % Vampire exiting
%------------------------------------------------------------------------------