%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU642^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:28 AM UTC 2026
% Result : Theorem 1.26s 0.49s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 131 ( 41 unt; 0 typ; 15 def)
% Number of atoms : 3163 ( 843 equ; 0 cnn)
% Maximal formula atoms : 164 ( 24 avg)
% Number of connectives : 1928 ( 138 ~; 143 |; 504 &; 476 @)
% ( 25 <=>; 642 =>; 0 <=; 0 <~>)
% Maximal formula depth : 171 ( 12 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 : 344 ( 341 usr; 198 con; 0-4 aty)
% Number of variables : 140 ( 0 sgn 114 !; 26 ?; 140 :)
% 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_189,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_192,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_193,type,
vAND: $o > $o > $o ).
thf(func_def_194,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_195,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_196,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_197,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_198,type,
vIMP: $o > $o > $o ).
thf(func_def_199,type,
vNOT: $o > $o ).
thf(func_def_200,type,
sP0: $i > $i > $o ).
thf(func_def_201,type,
sP1: $i > $o ).
thf(func_def_202,type,
sP2: $o ).
thf(func_def_203,type,
sK3: $i > $o ).
thf(func_def_207,type,
sK7: $i > $i ).
thf(func_def_225,type,
sK25: $i > ( $i > $o ) > $i ).
thf(func_def_226,type,
sK26: $i > $o ).
thf(func_def_236,type,
sK36: $o > $i > $i > $i ).
thf(func_def_239,type,
sK39: $o ).
thf(func_def_251,type,
sK51: $i > $i ).
thf(func_def_252,type,
sK52: $i > $i ).
thf(func_def_254,type,
sK54: $o ).
thf(func_def_269,type,
sK69: $i > $o ).
thf(func_def_276,type,
sK76: $i > $o ).
thf(func_def_277,type,
sK77: $i > $o ).
thf(func_def_278,type,
sK78: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_279,type,
sK79: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_285,type,
sK85: $o ).
thf(func_def_287,type,
sK87: $i > $o ).
thf(func_def_294,type,
sK94: $i > $i ).
thf(func_def_301,type,
sK101: ( $i > $o ) > $i ).
thf(func_def_302,type,
sK102: ( $i > $o ) > $i ).
thf(func_def_303,type,
sK103: $i > $o ).
thf(func_def_306,type,
sK106: $i > $o ).
thf(func_def_314,type,
sK114: $i > $i > $i ).
thf(func_def_320,type,
sK120: $i > $o ).
thf(func_def_327,type,
sK127: $i > $o ).
thf(func_def_331,type,
sK131: ( $i > $o ) > $i > $i ).
thf(func_def_332,type,
sK132: ( $i > $o ) > $i > $i ).
thf(func_def_334,type,
sK134: $i > $o ).
thf(func_def_336,type,
sK136: $i > $o ).
thf(func_def_337,type,
sK137: ( $i > $o ) > $i ).
thf(func_def_338,type,
sK138: $i > ( $i > $o ) > $i ).
thf(func_def_339,type,
sK139: $i > $o ).
thf(func_def_346,type,
sK146: $i > $o ).
thf(func_def_348,type,
sK148: ( $i > $o ) > $i > $i ).
thf(func_def_352,type,
sK152: $i > $i ).
thf(func_def_364,type,
sK164: $o ).
thf(func_def_366,type,
sK166: $i > $o ).
thf(func_def_375,type,
sK175: $i > $i > $i ).
thf(func_def_376,type,
sK176: $i > $o ).
thf(func_def_377,type,
sK177: $i > $o ).
thf(func_def_378,type,
sK178: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_379,type,
sK179: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_380,type,
sK180: $i > $i > $i ).
thf(func_def_381,type,
sK181: $i > $i > $i ).
thf(func_def_390,type,
sK190: $i > $i > $i ).
thf(func_def_402,type,
sK202: $i > $i ).
thf(func_def_406,type,
sK206: $i > $i > $i ).
thf(func_def_407,type,
sK207: $i > $i > $i ).
thf(func_def_413,type,
sK213: $o ).
thf(func_def_418,type,
sK218: $i > $o ).
thf(func_def_421,type,
sK221: $i > ( $i > $o ) > $i ).
thf(func_def_422,type,
sK222: $o ).
thf(func_def_436,type,
sK236: $i > $o ).
thf(func_def_439,type,
sK239: $i > ( $i > $o ) > $i ).
thf(func_def_446,type,
sK246: $i > $o ).
thf(func_def_451,type,
sK251: ( $i > $o ) > $i ).
thf(func_def_452,type,
sK252: $i > $o ).
thf(func_def_453,type,
sK253: $i > $i ).
thf(func_def_459,type,
sK259: $i > $o ).
thf(func_def_461,type,
sK261: $i > $i > $o ).
thf(func_def_463,type,
sK263: $i > $i ).
thf(func_def_464,type,
sK264: $i > $i ).
thf(func_def_465,type,
sK265: $i > ( $i > $i > $o ) > $i ).
thf(func_def_466,type,
sK266: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_467,type,
sK267: $i > ( $i > $i > $o ) > $i ).
thf(func_def_476,type,
sK276: $i > $i > $i ).
thf(func_def_482,type,
sK282: $i > $o ).
thf(func_def_485,type,
sK285: $i > ( $i > $o ) > $i ).
thf(func_def_493,type,
sK293: $i > $i ).
thf(func_def_501,type,
sK301: $i > $i > $i > $i ).
thf(func_def_502,type,
sK302: $i > $i > $i > $i ).
thf(func_def_503,type,
sK303: $i > $o ).
thf(func_def_509,type,
sK309: $i > $o ).
thf(func_def_510,type,
sK310: $i > $o ).
thf(func_def_511,type,
sK311: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_512,type,
sK312: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_517,type,
sK317: $i > $o ).
thf(func_def_519,type,
sK319: ( $i > $o ) > $i > $i ).
thf(func_def_525,type,
sK325: $i > $i ).
thf(func_def_526,type,
sK326: $i > $i ).
thf(func_def_527,type,
sK327: $i > $i ).
thf(func_def_528,type,
sK328: $i > $i ).
thf(func_def_529,type,
sK329: $i > $i ).
thf(func_def_530,type,
sK330: $i > $i > $i > $i ).
thf(func_def_531,type,
sK331: $i > $i ).
thf(func_def_532,type,
sK332: $i > $i ).
thf(func_def_533,type,
sK333: $i > $i ).
thf(func_def_534,type,
sK334: $i > $i ).
thf(func_def_535,type,
sK335: $i > $i > $i ).
thf(func_def_536,type,
sK336: $i > $i > $i > $i ).
thf(func_def_537,type,
sK337: $i > $i > $i > $i ).
thf(func_def_538,type,
sK338: $i > $i > $i > $i ).
thf(func_def_539,type,
sK339: $i > $i > $i ).
thf(func_def_540,type,
sK340: $i > $i > $i ).
thf(func_def_541,type,
sK341: $i > $i > $i ).
thf(func_def_542,type,
sK342: $i > $i > $i ).
thf(func_def_546,type,
sK346: $i > $i > $i ).
thf(func_def_561,type,
sK361: $o ).
thf(func_def_572,type,
sK372: ( $i > $o ) > $i > $i ).
thf(func_def_573,type,
sK373: ( $i > $o ) > $i > $i ).
thf(func_def_575,type,
sK375: $i > $o ).
thf(func_def_577,type,
sK377: $i > ( $i > $o ) > $i ).
thf(func_def_578,type,
sK378: $i > $o ).
thf(func_def_580,type,
sK380: ( $i > $o ) > $i > $i > $i ).
thf(func_def_583,type,
sK383: $i > $o ).
thf(func_def_584,type,
sK384: $i > $o ).
thf(func_def_587,type,
sK387: $i > ( $i > $o ) > $i ).
thf(func_def_607,type,
sK407: $i > $o ).
thf(func_def_608,type,
sK408: $i > $i ).
thf(func_def_609,type,
sK409: ( $i > $o ) > $i ).
thf(func_def_611,type,
sK411: $i > $o ).
thf(func_def_614,type,
sK414: $i > $o ).
thf(func_def_631,type,
sK431: $i > $i > $i ).
thf(func_def_633,type,
sK433: $o ).
thf(f21,axiom,
! [X0: $i] :
( ( ~ ( in @ X0 @ emptyset ) )
= notinemptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset) ).
thf(f31,axiom,
( setadjoinIL
= ( ! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(f35,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X0 @ X1 ) )
=> ( ( X2 = X0 )
| ( in @ X2 @ X1 ) ) )
= setadjoinOr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinOr) ).
thf(f50,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) )
= upairsetE ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetE) ).
thf(f157,axiom,
! [X0: $i] :
( ( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
= X0 )
= setunionsingleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionsingleton) ).
thf(f165,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
=> ! [X1: $i,X2: $i,X0: $i] :
( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjL1) ).
thf(f166,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
=> ! [X1: $i,X2: $i,X0: $i] :
( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f165]) ).
thf(f187,plain,
! [X0: $i] :
( ( ~ ( in @ X0 @ emptyset ) )
= notinemptyset ),
inference(rectify,[],[f21]) ).
thf(f188,plain,
( ! [X0: $i] :
( ( in @ X0 @ emptyset )
!= $true )
<=> ( notinemptyset = $true ) ),
inference(fool_elimination,[],[f187]) ).
thf(f209,plain,
( ( setunionsingleton = $true )
<=> ! [X0: $i] :
( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
= X0 ) ),
inference(fool_elimination,[],[f157]) ).
thf(f212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
=> ( ( X1 = X2 )
| ( in @ X2 @ X0 ) ) )
= setadjoinOr ),
inference(rectify,[],[f35]) ).
thf(f213,plain,
( ( setadjoinOr = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( $true
= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) )
=> ( ( X1 = X2 )
| ( ( in @ X2 @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f212]) ).
thf(f352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X0 = X1 ) ) )
= upairsetE ),
inference(rectify,[],[f50]) ).
thf(f353,plain,
( ( upairsetE = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
= $true )
=> ( ( X0 = X1 )
| ( X1 = X2 ) ) ) ),
inference(fool_elimination,[],[f352]) ).
thf(f358,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f166]) ).
thf(f359,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 )
=> ! [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f358]) ).
thf(f411,plain,
( setadjoinIL
= ( ! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f31]) ).
thf(f412,plain,
( ( setadjoinIL = $true )
<=> ! [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f411]) ).
thf(f490,plain,
( ( notinemptyset = $true )
<=> ! [X0: $i] :
( ( in @ X0 @ emptyset )
!= $true ) ),
inference(flattening,[],[f188]) ).
thf(f568,plain,
( ( setadjoinOr = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( X1 = X2 )
| ( ( in @ X2 @ X0 )
= $true )
| ( $true
!= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) ) ) ),
inference(ennf_transformation,[],[f213]) ).
thf(f569,plain,
( ( setadjoinOr = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) ) ) ),
inference(flattening,[],[f568]) ).
thf(f595,plain,
( ( upairsetE = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X1 = X2 )
| ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f353]) ).
thf(f596,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
!= $true ) )
<=> ( upairsetE = $true ) ),
inference(flattening,[],[f595]) ).
thf(f650,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
& ( X1 != X2 ) )
& ( 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,[],[f359]) ).
thf(f651,plain,
( ( disjointsetsI1 = $true )
& ( setminusLsub = $true )
& ( emptyinPowerset = $true )
& ( binintersectSubset3 = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan1 = $true )
& ( setminusSubset1 = $true )
& ( powersetI = $true )
& ( descrp = $true )
& ( binunionE = $true )
& ( uniqinunit = $true )
& ( noeltsimpempty = $true )
& ( nonemptyI1 = $true )
& ( symdiffE = $true )
& ( binunionIR = $true )
& ( singletonsuniq = $true )
& ( prop2setI = $true )
& ( omegaIndAx = $true )
& ( ex1I = $true )
& ( cartprodmempair1 = $true )
& ( upairsetIL = $true )
& ( notequalI1 = $true )
& ( setunionAx = $true )
& ( setminusELneg = $true )
& ( upairsubunion = $true )
& ( powersetE = $true )
& ( setunionsingleton2 = $true )
& ( nonemptyE1 = $true )
& ( inCongP = $true )
& ( emptyE1 = $true )
& ( quantDeMorgan3 = $true )
& ( setunionI = $true )
& ( eqinunit = $true )
& ( quantDeMorgan4 = $true )
& ( setadjoinE = $true )
& ( upairset2IR = $true )
& ( quantDeMorgan2 = $true )
& ( setunionsingleton1 = $true )
& ( omegaSAx = $true )
& ( setext = $true )
& ( singletonprop = $true )
& ( setminusSubset2 = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( binunionRsub = $true )
& ( setminusIRneg = $true )
& ( symdiffIneg2 = $true )
& ( notinemptyset = $true )
& ( wellorderingAx = $true )
& ( binintersectSubset5 = $true )
& ( in__Cong = $true )
& ( ex1I2 = $true )
& ( setminusER = $true )
& ( foundationAx = $true )
& ( emptyset__Cong = $true )
& ( setadjoinSub2 = $true )
& ( exu__Cong = $true )
& ( emptysetsubset = $true )
& ( setoftrueEq = $true )
& ( secondinupair = $true )
& ( symdiffI2 = $true )
& ( singletoninpowunion = $true )
& ( binintersectSubset2 = $true )
& ( replAx = $true )
& ( exuE2 = $true )
& ( exuEu = $true )
& ( setadjoinIR = $true )
& ( upairinpowunion = $true )
& ( binunionEcases = $true )
& ( setadjoinSub = $true )
& ( notdexE = $true )
& ( ex1E1 = $true )
& ( ubforcartprodlem3 = $true )
& ( setunion__Cong = $true )
& ( binintersectEL = $true )
& ( upairsetIR = $true )
& ( setminusILneg = $true )
& ( subset2powerset = $true )
& ( setminusERneg = $true )
& ( setunionE = $true )
& ( vacuousDall = $true )
& ( sepSubset = $true )
& ( setunionE2 = $true )
& ( subsetRefl = $true )
& ( exuE3e = $true )
& ( binintersectSubset4 = $true )
& ( subsetE2 = $true )
& ( exuI1 = $true )
& ( cartprodpairin = $true )
& ( subsetE = $true )
& ( setminusEL = $true )
& ( dsetconstrI = $true )
& ( setadjoin__Cong = $true )
& ( upairset2E = $true )
& ( nonemptyI = $true )
& ( singletonsswitch = $true )
& ( subsetemptysetimpeq = $true )
& ( ubforcartprodlem2 = $true )
& ( binintersectLsub = $true )
& ( binintersectRsub = $true )
& ( bs114d = $true )
& ( setbeta = $true )
& ( emptyInPowerset = $true )
& ( inPowerset = $true )
& ( subsetI1 = $true )
& ( subsetI2 = $true )
& ( dsetconstr__Cong = $true )
& ( prop2set2propI = $true )
& ( singletoninpowerset = $true )
& ( setadjoinIL = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset1 = $true )
& ( symdiffIneg1 = $true )
& ( setadjoinOr = $true )
& ( emptyinunitempty = $true )
& ( subPowSU = $true )
& ( eqimpsubset1 = $true )
& ( setadjoinAx = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetI1 = $true )
& ( subsetTrans = $true )
& ( binintersectER = $true )
& ( omega0Ax = $true )
& ( upairsetE = $true )
& ( powersetAx = $true )
& ( notdallE = $true )
& ( cartprodmempair = $true )
& ( exuI3 = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( powersetsubset = $true )
& ( binunionLsub = $true )
& ( emptysetE = $true )
& ( singletonsubset = $true )
& ( exuE1 = $true )
& ( exuE3u = $true )
& ( setukpairIR = $true )
& ( powersetE1 = $true )
& ( setextAx = $true )
& ( omega__Cong = $true )
& ( powerset__Cong = $true )
& ( setukpairIL = $true )
& ( eqimpsubset2 = $true )
& ( prop2setE = $true )
& ( nonemptyImpWitness = $true )
& ( symdiffI1 = $true )
& ( emptysetAx = $true )
& ( notinsingleton = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
& ( X1 != X2 ) )
& ( emptyI = $true )
& ( binintersectI = $true )
& ( sepInPowerset = $true )
& ( setminusI = $true )
& ( notequalI2 = $true )
& ( setunionsingleton = $true )
& ( binunionIL = $true )
& ( descr__Cong = $true )
& ( setextsub = $true )
& ( exuI2 = $true ) ),
inference(flattening,[],[f650]) ).
thf(f736,plain,
( ( ( setunionsingleton = $true )
| ? [X0: $i] :
( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
!= X0 ) )
& ( ! [X0: $i] :
( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
= X0 )
| ( setunionsingleton != $true ) ) ),
inference(nnf_transformation,[],[f209]) ).
thf(f737,plain,
( ( ( setunionsingleton = $true )
| ? [X0: $i] :
( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
!= X0 ) )
& ( ! [X1: $i] :
( ( setunion @ ( setadjoin @ X1 @ emptyset ) )
= X1 )
| ( setunionsingleton != $true ) ) ),
inference(rectify,[],[f736]) ).
thf(f738,plain,
( ( ( setunionsingleton = $true )
| ( ( setunion @ ( setadjoin @ sK40 @ emptyset ) )
!= sK40 ) )
& ( ! [X1: $i] :
( ( setunion @ ( setadjoin @ X1 @ emptyset ) )
= X1 )
| ( setunionsingleton != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X0,sK40)],[f737]) ).
thf(f772,plain,
( ( ! [X1: $i,X0: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
!= $true ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( X1 != X2 )
& ( X0 != X1 )
& ( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f596]) ).
thf(f773,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( X3 != X5 )
& ( X3 != X4 )
& ( $true
= ( in @ X3 @ ( setadjoin @ X4 @ ( setadjoin @ X5 @ emptyset ) ) ) ) ) ) ),
inference(rectify,[],[f772]) ).
thf(f774,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ( ( sK71 != sK73 )
& ( sK71 != sK72 )
& ( ( in @ sK71 @ ( setadjoin @ sK72 @ ( setadjoin @ sK73 @ emptyset ) ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72,sK73]),skolemize(X3,sK71),skolemize(X4,sK72),skolemize(X5,sK73)],[f773]) ).
thf(f868,plain,
( ( ( setadjoinOr = $true )
| ? [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( X1 != X2 )
& ( $true
= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) ) ) )
& ( ! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) ) )
| ( setadjoinOr != $true ) ) ),
inference(nnf_transformation,[],[f569]) ).
thf(f869,plain,
( ( ( setadjoinOr = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
& ( X1 != X2 )
& ( $true
= ( in @ X1 @ ( setadjoin @ X2 @ X0 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ X3 ) )
| ( X4 = X5 )
| ( $true
!= ( in @ X4 @ ( setadjoin @ X5 @ X3 ) ) ) )
| ( setadjoinOr != $true ) ) ),
inference(rectify,[],[f868]) ).
thf(f870,plain,
( ( ( setadjoinOr = $true )
| ( ( $true
!= ( in @ sK157 @ sK156 ) )
& ( sK158 != sK157 )
& ( $true
= ( in @ sK157 @ ( setadjoin @ sK158 @ sK156 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X4 @ X3 ) )
| ( X4 = X5 )
| ( $true
!= ( in @ X4 @ ( setadjoin @ X5 @ X3 ) ) ) )
| ( setadjoinOr != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156,sK157,sK158]),skolemize(X0,sK156),skolemize(X1,sK157),skolemize(X2,sK158)],[f869]) ).
thf(f970,plain,
( ( ( setadjoinIL = $true )
| ? [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
!= $true ) )
& ( ! [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(nnf_transformation,[],[f412]) ).
thf(f971,plain,
( ( ( setadjoinIL = $true )
| ? [X0: $i,X1: $i] :
( $true
!= ( in @ X1 @ ( setadjoin @ X1 @ X0 ) ) ) )
& ( ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(rectify,[],[f970]) ).
thf(f972,plain,
( ( ( setadjoinIL = $true )
| ( $true
!= ( in @ sK250 @ ( setadjoin @ sK250 @ sK249 ) ) ) )
& ( ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK249,sK250]),skolemize(X0,sK249),skolemize(X1,sK250)],[f971]) ).
thf(f1036,plain,
( ( disjointsetsI1 = $true )
& ( setminusLsub = $true )
& ( emptyinPowerset = $true )
& ( binintersectSubset3 = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan1 = $true )
& ( setminusSubset1 = $true )
& ( powersetI = $true )
& ( descrp = $true )
& ( binunionE = $true )
& ( uniqinunit = $true )
& ( noeltsimpempty = $true )
& ( nonemptyI1 = $true )
& ( symdiffE = $true )
& ( binunionIR = $true )
& ( singletonsuniq = $true )
& ( prop2setI = $true )
& ( omegaIndAx = $true )
& ( ex1I = $true )
& ( cartprodmempair1 = $true )
& ( upairsetIL = $true )
& ( notequalI1 = $true )
& ( setunionAx = $true )
& ( setminusELneg = $true )
& ( upairsubunion = $true )
& ( powersetE = $true )
& ( setunionsingleton2 = $true )
& ( nonemptyE1 = $true )
& ( inCongP = $true )
& ( emptyE1 = $true )
& ( quantDeMorgan3 = $true )
& ( setunionI = $true )
& ( eqinunit = $true )
& ( quantDeMorgan4 = $true )
& ( setadjoinE = $true )
& ( upairset2IR = $true )
& ( quantDeMorgan2 = $true )
& ( setunionsingleton1 = $true )
& ( omegaSAx = $true )
& ( setext = $true )
& ( singletonprop = $true )
& ( setminusSubset2 = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( binunionRsub = $true )
& ( setminusIRneg = $true )
& ( symdiffIneg2 = $true )
& ( notinemptyset = $true )
& ( wellorderingAx = $true )
& ( binintersectSubset5 = $true )
& ( in__Cong = $true )
& ( ex1I2 = $true )
& ( setminusER = $true )
& ( foundationAx = $true )
& ( emptyset__Cong = $true )
& ( setadjoinSub2 = $true )
& ( exu__Cong = $true )
& ( emptysetsubset = $true )
& ( setoftrueEq = $true )
& ( secondinupair = $true )
& ( symdiffI2 = $true )
& ( singletoninpowunion = $true )
& ( binintersectSubset2 = $true )
& ( replAx = $true )
& ( exuE2 = $true )
& ( exuEu = $true )
& ( setadjoinIR = $true )
& ( upairinpowunion = $true )
& ( binunionEcases = $true )
& ( setadjoinSub = $true )
& ( notdexE = $true )
& ( ex1E1 = $true )
& ( ubforcartprodlem3 = $true )
& ( setunion__Cong = $true )
& ( binintersectEL = $true )
& ( upairsetIR = $true )
& ( setminusILneg = $true )
& ( subset2powerset = $true )
& ( setminusERneg = $true )
& ( setunionE = $true )
& ( vacuousDall = $true )
& ( sepSubset = $true )
& ( setunionE2 = $true )
& ( subsetRefl = $true )
& ( exuE3e = $true )
& ( binintersectSubset4 = $true )
& ( subsetE2 = $true )
& ( exuI1 = $true )
& ( cartprodpairin = $true )
& ( subsetE = $true )
& ( setminusEL = $true )
& ( dsetconstrI = $true )
& ( setadjoin__Cong = $true )
& ( upairset2E = $true )
& ( nonemptyI = $true )
& ( singletonsswitch = $true )
& ( subsetemptysetimpeq = $true )
& ( ubforcartprodlem2 = $true )
& ( binintersectLsub = $true )
& ( binintersectRsub = $true )
& ( bs114d = $true )
& ( setbeta = $true )
& ( emptyInPowerset = $true )
& ( inPowerset = $true )
& ( subsetI1 = $true )
& ( subsetI2 = $true )
& ( dsetconstr__Cong = $true )
& ( prop2set2propI = $true )
& ( singletoninpowerset = $true )
& ( setadjoinIL = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset1 = $true )
& ( symdiffIneg1 = $true )
& ( setadjoinOr = $true )
& ( emptyinunitempty = $true )
& ( subPowSU = $true )
& ( eqimpsubset1 = $true )
& ( setadjoinAx = $true )
& ( ubforcartprodlem1 = $true )
& ( powersetI1 = $true )
& ( subsetTrans = $true )
& ( binintersectER = $true )
& ( omega0Ax = $true )
& ( upairsetE = $true )
& ( powersetAx = $true )
& ( notdallE = $true )
& ( cartprodmempair = $true )
& ( exuI3 = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( powersetsubset = $true )
& ( binunionLsub = $true )
& ( emptysetE = $true )
& ( singletonsubset = $true )
& ( exuE1 = $true )
& ( exuE3u = $true )
& ( setukpairIR = $true )
& ( powersetE1 = $true )
& ( setextAx = $true )
& ( omega__Cong = $true )
& ( powerset__Cong = $true )
& ( setukpairIL = $true )
& ( eqimpsubset2 = $true )
& ( prop2setE = $true )
& ( nonemptyImpWitness = $true )
& ( symdiffI1 = $true )
& ( emptysetAx = $true )
& ( notinsingleton = $true )
& ( $true
= ( in @ ( setadjoin @ sK307 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) @ emptyset ) ) ) )
& ( sK307 != sK308 )
& ( emptyI = $true )
& ( binintersectI = $true )
& ( sepInPowerset = $true )
& ( setminusI = $true )
& ( notequalI2 = $true )
& ( setunionsingleton = $true )
& ( binunionIL = $true )
& ( descr__Cong = $true )
& ( setextsub = $true )
& ( exuI2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK306,sK307,sK308]),skolemize(X0,sK306),skolemize(X1,sK307),skolemize(X2,sK308)],[f651]) ).
thf(f1046,plain,
( ( ( notinemptyset = $true )
| ? [X0: $i] :
( ( in @ X0 @ emptyset )
= $true ) )
& ( ! [X0: $i] :
( ( in @ X0 @ emptyset )
!= $true )
| ( notinemptyset != $true ) ) ),
inference(nnf_transformation,[],[f490]) ).
thf(f1047,plain,
( ( ( notinemptyset = $true )
| ? [X0: $i] :
( ( in @ X0 @ emptyset )
= $true ) )
& ( ! [X1: $i] :
( ( in @ X1 @ emptyset )
!= $true )
| ( notinemptyset != $true ) ) ),
inference(rectify,[],[f1046]) ).
thf(f1048,plain,
( ( ( notinemptyset = $true )
| ( ( in @ sK320 @ emptyset )
= $true ) )
& ( ! [X1: $i] :
( ( in @ X1 @ emptyset )
!= $true )
| ( notinemptyset != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(X0,sK320)],[f1047]) ).
thf(f1218,plain,
! [X1: $i] :
( ( ( setunion @ ( setadjoin @ X1 @ emptyset ) )
= X1 )
| ( setunionsingleton != $true ) ),
inference(cnf_transformation,[],[f738]) ).
thf(f1259,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( upairsetE != $true )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f774]) ).
thf(f1380,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( setadjoinOr != $true )
| ( $true
= ( in @ X4 @ X3 ) )
| ( X4 = X5 )
| ( $true
!= ( in @ X4 @ ( setadjoin @ X5 @ X3 ) ) ) ),
inference(cnf_transformation,[],[f870]) ).
thf(f1515,plain,
! [X2: $i,X3: $i] :
( ( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ( setadjoinIL != $true ) ),
inference(cnf_transformation,[],[f972]) ).
thf(f1595,plain,
setunionsingleton = $true,
inference(cnf_transformation,[],[f1036]) ).
thf(f1601,plain,
sK307 != sK308,
inference(cnf_transformation,[],[f1036]) ).
thf(f1602,plain,
( $true
= ( in @ ( setadjoin @ sK307 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f1036]) ).
thf(f1627,plain,
upairsetE = $true,
inference(cnf_transformation,[],[f1036]) ).
thf(f1637,plain,
setadjoinOr = $true,
inference(cnf_transformation,[],[f1036]) ).
thf(f1641,plain,
setadjoinIL = $true,
inference(cnf_transformation,[],[f1036]) ).
thf(f1703,plain,
notinemptyset = $true,
inference(cnf_transformation,[],[f1036]) ).
thf(f1764,plain,
! [X1: $i] :
( ( ( in @ X1 @ emptyset )
!= $true )
| ( notinemptyset != $true ) ),
inference(cnf_transformation,[],[f1048]) ).
thf(f2365,definition,
( spl440_55
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( setadjoin @ X4 @ ( setadjoin @ X5 @ emptyset ) ) ) )
| ( X3 = X4 )
| ( X3 = X5 ) ) ),
introduced(definition,[new_symbols(definition,[spl440_55])],[avatar_definition]) ).
thf(f2366,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X3 @ ( setadjoin @ X4 @ ( setadjoin @ X5 @ emptyset ) ) ) )
| ( X3 = X5 )
| ( X3 = X4 ) )
| ~ spl440_55 ),
inference(avatar_component_clause,[],[f2365]) ).
thf(f2651,definition,
( spl440_120
<=> ( setadjoinOr = $true ) ),
introduced(definition,[new_symbols(definition,[spl440_120])],[avatar_definition]) ).
thf(f3262,definition,
( spl440_256
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( in @ X1 @ ( setadjoin @ X0 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl440_256])],[avatar_definition]) ).
thf(f3263,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X1 @ ( setadjoin @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X2 )
= $true )
| ( X0 = X1 ) )
| ~ spl440_256 ),
inference(avatar_component_clause,[],[f3262]) ).
thf(f3354,definition,
( spl440_276
<=> ( setadjoinIL = $true ) ),
introduced(definition,[new_symbols(definition,[spl440_276])],[avatar_definition]) ).
thf(f3369,definition,
( spl440_279
<=> ( setunionsingleton = $true ) ),
introduced(definition,[new_symbols(definition,[spl440_279])],[avatar_definition]) ).
thf(f3372,plain,
spl440_279,
inference(avatar_split_clause,[],[f1595,f3369]) ).
thf(f3763,definition,
( spl440_363
<=> ( sK307 = sK308 ) ),
introduced(definition,[new_symbols(definition,[spl440_363])],[avatar_definition]) ).
thf(f3765,plain,
( ( sK307 != sK308 )
| spl440_363 ),
inference(avatar_component_clause,[],[f3763]) ).
thf(f3766,plain,
~ spl440_363,
inference(avatar_split_clause,[],[f1601,f3763]) ).
thf(f3972,definition,
( spl440_408
<=> ( notinemptyset = $true ) ),
introduced(definition,[new_symbols(definition,[spl440_408])],[avatar_definition]) ).
thf(f3975,plain,
spl440_408,
inference(avatar_split_clause,[],[f1703,f3972]) ).
thf(f4012,definition,
( spl440_416
<=> ( upairsetE = $true ) ),
introduced(definition,[new_symbols(definition,[spl440_416])],[avatar_definition]) ).
thf(f4015,plain,
spl440_416,
inference(avatar_split_clause,[],[f1627,f4012]) ).
thf(f4314,definition,
( spl440_480
<=> ! [X1: $i] :
( ( setunion @ ( setadjoin @ X1 @ emptyset ) )
= X1 ) ),
introduced(definition,[new_symbols(definition,[spl440_480])],[avatar_definition]) ).
thf(f4315,plain,
( ! [X1: $i] :
( ( setunion @ ( setadjoin @ X1 @ emptyset ) )
= X1 )
| ~ spl440_480 ),
inference(avatar_component_clause,[],[f4314]) ).
thf(f4316,plain,
( ~ spl440_279
| spl440_480 ),
inference(avatar_split_clause,[],[f1218,f4314,f3369]) ).
thf(f4331,plain,
spl440_120,
inference(avatar_split_clause,[],[f1637,f2651]) ).
thf(f4394,plain,
( spl440_55
| ~ spl440_416 ),
inference(avatar_split_clause,[],[f1259,f4012,f2365]) ).
thf(f4415,plain,
spl440_276,
inference(avatar_split_clause,[],[f1641,f3354]) ).
thf(f4668,plain,
( ~ spl440_120
| spl440_256 ),
inference(avatar_split_clause,[],[f1380,f3262,f2651]) ).
thf(f4907,definition,
( spl440_601
<=> ! [X1: $i] :
( ( in @ X1 @ emptyset )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl440_601])],[avatar_definition]) ).
thf(f4908,plain,
( ! [X1: $i] :
( ( in @ X1 @ emptyset )
!= $true )
| ~ spl440_601 ),
inference(avatar_component_clause,[],[f4907]) ).
thf(f5152,definition,
( spl440_651
<=> ( $true
= ( in @ ( setadjoin @ sK307 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) @ emptyset ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl440_651])],[avatar_definition]) ).
thf(f5154,plain,
( ( $true
= ( in @ ( setadjoin @ sK307 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) @ emptyset ) ) ) )
| ~ spl440_651 ),
inference(avatar_component_clause,[],[f5152]) ).
thf(f5155,plain,
spl440_651,
inference(avatar_split_clause,[],[f1602,f5152]) ).
thf(f5178,plain,
( ~ spl440_408
| spl440_601 ),
inference(avatar_split_clause,[],[f1764,f4907,f3972]) ).
thf(f5206,definition,
( spl440_661
<=> ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl440_661])],[avatar_definition]) ).
thf(f5207,plain,
( ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ~ spl440_661 ),
inference(avatar_component_clause,[],[f5206]) ).
thf(f5208,plain,
( ~ spl440_276
| spl440_661 ),
inference(avatar_split_clause,[],[f1515,f5206,f3354]) ).
thf(f6329,plain,
( ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ emptyset ) )
| ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) )
| ( $true != $true )
| ~ spl440_55
| ~ spl440_651 ),
inference(superposition,[],[f2366,f5154]) ).
thf(f6342,plain,
( ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ emptyset ) )
| ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) )
| ~ spl440_55
| ~ spl440_651 ),
inference(trivial_inequality_removal,[],[f6329]) ).
thf(f6354,definition,
( spl440_748
<=> ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) ) ),
introduced(definition,[new_symbols(definition,[spl440_748])],[avatar_definition]) ).
thf(f6356,plain,
( ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ ( setadjoin @ sK306 @ emptyset ) ) )
| ~ spl440_748 ),
inference(avatar_component_clause,[],[f6354]) ).
thf(f6358,definition,
( spl440_749
<=> ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ emptyset ) ) ),
introduced(definition,[new_symbols(definition,[spl440_749])],[avatar_definition]) ).
thf(f6360,plain,
( ( ( setadjoin @ sK307 @ emptyset )
= ( setadjoin @ sK308 @ emptyset ) )
| ~ spl440_749 ),
inference(avatar_component_clause,[],[f6358]) ).
thf(f6361,plain,
( spl440_748
| spl440_749
| ~ spl440_55
| ~ spl440_651 ),
inference(avatar_split_clause,[],[f6342,f5152,f2365,f6358,f6354]) ).
thf(f6486,plain,
( ( sK307
= ( setunion @ ( setadjoin @ sK308 @ emptyset ) ) )
| ~ spl440_480
| ~ spl440_749 ),
inference(superposition,[],[f4315,f6360]) ).
thf(f6502,plain,
( ( sK307 = sK308 )
| ~ spl440_480
| ~ spl440_749 ),
inference(forward_demodulation,[],[f6486,f4315]) ).
thf(f6503,plain,
( $false
| spl440_363
| ~ spl440_480
| ~ spl440_749 ),
inference(forward_subsumption_resolution,[],[f6502,f3765]) ).
thf(f6504,plain,
( spl440_363
| ~ spl440_480
| ~ spl440_749 ),
inference(avatar_contradiction_clause,[],[f6503]) ).
thf(f7115,plain,
( ( ( in @ sK308 @ ( setadjoin @ sK307 @ emptyset ) )
= $true )
| ~ spl440_661
| ~ spl440_748 ),
inference(superposition,[],[f5207,f6356]) ).
thf(f7128,definition,
( spl440_756
<=> ( ( in @ sK308 @ ( setadjoin @ sK307 @ emptyset ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl440_756])],[avatar_definition]) ).
thf(f7130,plain,
( ( ( in @ sK308 @ ( setadjoin @ sK307 @ emptyset ) )
= $true )
| ~ spl440_756 ),
inference(avatar_component_clause,[],[f7128]) ).
thf(f7131,plain,
( spl440_756
| ~ spl440_661
| ~ spl440_748 ),
inference(avatar_split_clause,[],[f7115,f6354,f5206,f7128]) ).
thf(f7207,plain,
( ( sK307 = sK308 )
| ( $true
= ( in @ sK308 @ emptyset ) )
| ( $true != $true )
| ~ spl440_256
| ~ spl440_756 ),
inference(superposition,[],[f3263,f7130]) ).
thf(f7211,plain,
( ( sK307 = sK308 )
| ( $true
= ( in @ sK308 @ emptyset ) )
| ~ spl440_256
| ~ spl440_756 ),
inference(trivial_inequality_removal,[],[f7207]) ).
thf(f7219,plain,
( ( $true
= ( in @ sK308 @ emptyset ) )
| ~ spl440_256
| spl440_363
| ~ spl440_756 ),
inference(forward_subsumption_resolution,[],[f7211,f3765]) ).
thf(f7227,plain,
( $false
| ~ spl440_256
| spl440_363
| ~ spl440_601
| ~ spl440_756 ),
inference(forward_subsumption_resolution,[],[f7219,f4908]) ).
thf(f7228,plain,
( ~ spl440_256
| spl440_363
| ~ spl440_601
| ~ spl440_756 ),
inference(avatar_contradiction_clause,[],[f7227]) ).
cnf(s204,plain,
spl440_279,
inference(sat_conversion,[],[f3372]) ).
cnf(s293,plain,
~ spl440_363,
inference(sat_conversion,[],[f3766]) ).
cnf(s344,plain,
spl440_408,
inference(sat_conversion,[],[f3975]) ).
cnf(s355,plain,
spl440_416,
inference(sat_conversion,[],[f4015]) ).
cnf(s430,plain,
( ~ spl440_279
| spl440_480 ),
inference(sat_conversion,[],[f4316]) ).
cnf(s434,plain,
spl440_120,
inference(sat_conversion,[],[f4331]) ).
cnf(s452,plain,
( spl440_55
| ~ spl440_416 ),
inference(sat_conversion,[],[f4394]) ).
cnf(s457,plain,
spl440_276,
inference(sat_conversion,[],[f4415]) ).
cnf(s517,plain,
( ~ spl440_120
| spl440_256 ),
inference(sat_conversion,[],[f4668]) ).
cnf(s641,plain,
spl440_651,
inference(sat_conversion,[],[f5155]) ).
cnf(s649,plain,
( ~ spl440_408
| spl440_601 ),
inference(sat_conversion,[],[f5178]) ).
cnf(s658,plain,
( ~ spl440_276
| spl440_661 ),
inference(sat_conversion,[],[f5208]) ).
cnf(s773,plain,
( ~ spl440_55
| ~ spl440_651
| spl440_748
| spl440_749 ),
inference(sat_conversion,[],[f6361]) ).
cnf(s777,plain,
( spl440_363
| ~ spl440_480
| ~ spl440_749 ),
inference(sat_conversion,[],[f6504]) ).
cnf(s785,plain,
( ~ spl440_661
| ~ spl440_748
| spl440_756 ),
inference(sat_conversion,[],[f7131]) ).
cnf(s791,plain,
( ~ spl440_256
| spl440_363
| ~ spl440_601
| ~ spl440_756 ),
inference(sat_conversion,[],[f7228]) ).
cnf(s817,plain,
spl440_661,
inference(rat,[],[s658,s457]) ).
cnf(s821,plain,
spl440_256,
inference(rat,[],[s517,s434]) ).
cnf(s841,plain,
spl440_55,
inference(rat,[],[s452,s355]) ).
cnf(s845,plain,
spl440_601,
inference(rat,[],[s649,s344]) ).
cnf(s870,plain,
~ spl440_756,
inference(rat,[],[s791,s845,s821,s293]) ).
cnf(s871,plain,
~ spl440_748,
inference(rat,[],[s785,s817,s870]) ).
cnf(s872,plain,
spl440_749,
inference(rat,[],[s773,s841,s641,s871]) ).
cnf(s874,plain,
~ spl440_480,
inference(rat,[],[s777,s293,s872]) ).
cnf(s875,plain,
~ spl440_279,
inference(rat,[],[s430,s874]) ).
cnf(s907,plain,
$false,
inference(rat,[],[s204,s875]) ).
thf(f7229,plain,
$false,
inference(avatar_sat_refutation,[],[s907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU642^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n019.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 14:02:03 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.40 % (817745)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.40 % (817759)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.40 % (817759)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
% 0.63/0.40 % (817759)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=2397578523:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.40 % (817753)lrs+10_16_si=on:nwc=1.5:random_seed=1258292444:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.40 % (817754)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=724286696:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.40 % (817752)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2613682113:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.40 % (817755)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=1168481223: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)
% 0.63/0.40 % (817757)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3706121484:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.40 % (817758)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=84572438:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.40 % (817754)Instruction limit reached!
% 0.63/0.40 % (817754)------------------------------
% 0.63/0.40 % (817754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (817754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (817754)CaDiCaL version: 2.1.3
% 0.63/0.40 % (817754)Termination reason: Instruction limit
% 0.63/0.40 % (817754)Termination phase: shuffling
% 0.63/0.40 % (817754)Time elapsed: 0.002 s
% 0.63/0.40 % (817754)Peak memory usage: 10 MB
% 0.63/0.40 % (817754)Instructions burned: 3 (million)
% 0.63/0.40 % (817753)Instruction limit reached!
% 0.63/0.40 % (817753)------------------------------
% 0.63/0.40 % (817753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (817753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (817753)CaDiCaL version: 2.1.3
% 0.63/0.40 % (817753)Termination reason: Instruction limit
% 0.63/0.40 % (817753)Termination phase: shuffling
% 0.63/0.40 % (817753)Time elapsed: 0.008 s
% 0.63/0.40 % (817753)Peak memory usage: 10 MB
% 0.63/0.40 % (817753)Instructions burned: 18 (million)
% 0.63/0.40 % (817757)Instruction limit reached!
% 0.63/0.40 % (817757)------------------------------
% 0.63/0.40 % (817757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (817757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (817757)CaDiCaL version: 2.1.3
% 0.63/0.40 % (817757)Termination reason: Instruction limit
% 0.63/0.40 % (817757)Termination phase: Preprocessing 3
% 0.63/0.40 % (817757)Time elapsed: 0.011 s
% 0.63/0.40 % (817757)Peak memory usage: 11 MB
% 0.63/0.40 % (817757)Instructions burned: 24 (million)
% 0.63/0.40 % (817771)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2371000432:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.40 % (817771)Instruction limit reached!
% 0.63/0.40 % (817771)------------------------------
% 0.63/0.40 % (817771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (817771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (817771)CaDiCaL version: 2.1.3
% 0.63/0.40 % (817771)Termination reason: Instruction limit
% 0.63/0.40 % (817771)Termination phase: shuffling
% 0.63/0.40 % (817771)Time elapsed: 0.002 s
% 0.63/0.40 % (817771)Peak memory usage: 10 MB
% 0.63/0.40 % (817771)Instructions burned: 3 (million)
% 0.63/0.40 % (817775)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.40 % (817773)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4077472651:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.43 % (817759)Instruction limit reached!
% 0.63/0.43 % (817759)------------------------------
% 0.63/0.43 % (817759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (817759)CaDiCaL version: 2.1.3
% 0.63/0.43 % (817759)Termination reason: Instruction limit
% 0.63/0.43 % (817759)Termination phase: Saturation
% 0.63/0.43 % (817759)Time elapsed: 0.037 s
% 0.63/0.43 % (817759)Peak memory usage: 13 MB
% 0.63/0.43 % (817759)Instructions burned: 160 (million)
% 0.63/0.43 % (817775)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=967041736:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.43 % (817773)Instruction limit reached!
% 0.63/0.43 % (817773)------------------------------
% 0.63/0.43 % (817773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (817773)CaDiCaL version: 2.1.3
% 0.63/0.43 % (817773)Termination reason: Instruction limit
% 0.63/0.43 % (817773)Termination phase: shuffling
% 0.63/0.43 % (817773)Time elapsed: 0.004 s
% 0.63/0.43 % (817773)Peak memory usage: 10 MB
% 0.63/0.43 % (817773)Instructions burned: 7 (million)
% 0.63/0.43 % (817775)Instruction limit reached!
% 0.63/0.43 % (817775)------------------------------
% 0.63/0.43 % (817775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (817775)CaDiCaL version: 2.1.3
% 0.63/0.43 % (817775)Termination reason: Instruction limit
% 0.63/0.43 % (817775)Termination phase: shuffling
% 0.63/0.43 % (817775)Time elapsed: 0.007 s
% 0.63/0.43 % (817775)Peak memory usage: 10 MB
% 0.63/0.43 % (817775)Instructions burned: 16 (million)
% 0.63/0.43 % (817758)Instruction limit reached!
% 0.63/0.43 % (817758)------------------------------
% 0.63/0.43 % (817758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (817758)CaDiCaL version: 2.1.3
% 0.63/0.43 % (817758)Termination reason: Instruction limit
% 0.63/0.43 % (817758)Termination phase: Property scanning
% 0.63/0.43 % (817758)Time elapsed: 0.038 s
% 0.63/0.43 % (817758)Peak memory usage: 12 MB
% 0.63/0.43 % (817758)Instructions burned: 83 (million)
% 0.63/0.43 % (817752)Instruction limit reached!
% 0.63/0.43 % (817752)------------------------------
% 0.63/0.43 % (817752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (817752)CaDiCaL version: 2.1.3
% 0.63/0.43 % (817752)Termination reason: Instruction limit
% 0.63/0.43 % (817752)Termination phase: Property scanning
% 0.63/0.43 % (817752)Time elapsed: 0.040 s
% 0.63/0.43 % (817752)Peak memory usage: 12 MB
% 0.63/0.43 % (817752)Instructions burned: 87 (million)
% 0.63/0.43 % (817785)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=708624662:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.43 % (817792)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
% 0.63/0.43 % (817792)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.43 % (817796)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=3554157062:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.43 % (817792)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3052338324:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.43 % (817785)Instruction limit reached!
% 0.63/0.43 % (817785)------------------------------
% 0.63/0.43 % (817785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (817785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817785)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817785)Termination reason: Instruction limit
% 0.63/0.46 % (817785)Termination phase: shuffling
% 0.63/0.46 % (817785)Time elapsed: 0.006 s
% 0.63/0.46 % (817785)Peak memory usage: 10 MB
% 0.63/0.46 % (817785)Instructions burned: 13 (million)
% 0.63/0.46 % (817802)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.46 % (817801)lrs+10_1_si=on:cs=on:random_seed=3634734337:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.46 % (817803)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3321828008:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.46 % (817802)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=1183375794:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.46 % (817792)Instruction limit reached!
% 0.63/0.46 % (817792)------------------------------
% 0.63/0.46 % (817792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (817792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817792)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817792)Termination reason: Instruction limit
% 0.63/0.46 % (817792)Termination phase: Property scanning
% 0.63/0.46 % (817792)Time elapsed: 0.012 s
% 0.63/0.46 % (817792)Peak memory usage: 10 MB
% 0.63/0.46 % (817792)Instructions burned: 28 (million)
% 0.63/0.46 % (817802)Instruction limit reached!
% 0.63/0.46 % (817802)------------------------------
% 0.63/0.46 % (817802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (817802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817802)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817802)Termination reason: Instruction limit
% 0.63/0.46 % (817802)Termination phase: shuffling
% 0.63/0.46 % (817802)Time elapsed: 0.002 s
% 0.63/0.46 % (817802)Peak memory usage: 10 MB
% 0.63/0.46 % (817802)Instructions burned: 4 (million)
% 0.63/0.46 % (817801)Instruction limit reached!
% 0.63/0.46 % (817801)------------------------------
% 0.63/0.46 % (817801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (817801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817801)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817801)Termination reason: Instruction limit
% 0.63/0.46 % (817801)Termination phase: shuffling
% 0.63/0.46 % (817801)Time elapsed: 0.004 s
% 0.63/0.46 % (817801)Peak memory usage: 10 MB
% 0.63/0.46 % (817801)Instructions burned: 8 (million)
% 0.63/0.46 % (817796)Instruction limit reached!
% 0.63/0.46 % (817796)------------------------------
% 0.63/0.46 % (817796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (817796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817796)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817796)Termination reason: Instruction limit
% 0.63/0.46 % (817796)Termination phase: Saturation
% 0.63/0.46 % (817796)Time elapsed: 0.020 s
% 0.63/0.46 % (817796)Peak memory usage: 12 MB
% 0.63/0.46 % (817796)Instructions burned: 90 (million)
% 0.63/0.46 % (817813)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3816268031:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.63/0.46 % (817803)Instruction limit reached!
% 0.63/0.46 % (817803)------------------------------
% 0.63/0.46 % (817803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (817803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (817803)CaDiCaL version: 2.1.3
% 0.63/0.46 % (817803)Termination reason: Instruction limit
% 0.63/0.46 % (817803)Termination phase: Preprocessing 3
% 0.63/0.46 % (817803)Time elapsed: 0.018 s
% 0.63/0.46 % (817803)Peak memory usage: 11 MB
% 0.63/0.46 % (817803)Instructions burned: 38 (million)
% 0.63/0.46 % (817829)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3453623053:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.46 % (817825)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=355748910:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.46 % (817824)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1345297705:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.26/0.49 % (817829)Instruction limit reached!
% 1.26/0.49 % (817829)------------------------------
% 1.26/0.49 % (817829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817829)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817829)Termination reason: Instruction limit
% 1.26/0.49 % (817829)Termination phase: shuffling
% 1.26/0.49 % (817829)Time elapsed: 0.004 s
% 1.26/0.49 % (817829)Peak memory usage: 10 MB
% 1.26/0.49 % (817829)Instructions burned: 17 (million)
% 1.26/0.49 % (817827)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=6566548:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.26/0.49 % (817825)Instruction limit reached!
% 1.26/0.49 % (817825)------------------------------
% 1.26/0.49 % (817825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817825)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817825)Termination reason: Instruction limit
% 1.26/0.49 % (817825)Termination phase: shuffling
% 1.26/0.49 % (817825)Time elapsed: 0.007 s
% 1.26/0.49 % (817825)Peak memory usage: 10 MB
% 1.26/0.49 % (817825)Instructions burned: 14 (million)
% 1.26/0.49 % (817840)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=567075444:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.49 % (817824)Instruction limit reached!
% 1.26/0.49 % (817824)------------------------------
% 1.26/0.49 % (817824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817824)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817824)Termination reason: Instruction limit
% 1.26/0.49 % (817824)Termination phase: Preprocessing 2
% 1.26/0.49 % (817824)Time elapsed: 0.012 s
% 1.26/0.49 % (817824)Peak memory usage: 10 MB
% 1.26/0.49 % (817824)Instructions burned: 26 (million)
% 1.26/0.49 % (817833)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1523234213: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)
% 1.26/0.49 % (817833)Instruction limit reached!
% 1.26/0.49 % (817833)------------------------------
% 1.26/0.49 % (817833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817833)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817833)Termination reason: Instruction limit
% 1.26/0.49 % (817833)Termination phase: shuffling
% 1.26/0.49 % (817833)Time elapsed: 0.002 s
% 1.26/0.49 % (817833)Peak memory usage: 10 MB
% 1.26/0.49 % (817833)Instructions burned: 4 (million)
% 1.26/0.49 % (817840)Instruction limit reached!
% 1.26/0.49 % (817840)------------------------------
% 1.26/0.49 % (817840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817840)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817840)Termination reason: Instruction limit
% 1.26/0.49 % (817840)Termination phase: Property scanning
% 1.26/0.49 % (817840)Time elapsed: 0.006 s
% 1.26/0.49 % (817840)Peak memory usage: 10 MB
% 1.26/0.49 % (817840)Instructions burned: 27 (million)
% 1.26/0.49 % (817841)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1798152552:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.49 % (817846)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.26/0.49 % (817846)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=3711557320:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.26/0.49 % (817846)Instruction limit reached!
% 1.26/0.49 % (817846)------------------------------
% 1.26/0.49 % (817846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817846)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817846)Termination reason: Instruction limit
% 1.26/0.49 % (817846)Termination phase: shuffling
% 1.26/0.49 % (817846)Time elapsed: 0.002 s
% 1.26/0.49 % (817846)Peak memory usage: 10 MB
% 1.26/0.49 % (817846)Instructions burned: 8 (million)
% 1.26/0.49 % (817843)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1511579714:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.26/0.49 % (817845)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
% 1.26/0.49 % (817845)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.26/0.49 % (817845)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=1172582320:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.49 % (817841)Instruction limit reached!
% 1.26/0.49 % (817841)------------------------------
% 1.26/0.49 % (817841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817841)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817841)Termination reason: Instruction limit
% 1.26/0.49 % (817841)Termination phase: Property scanning
% 1.26/0.49 % (817841)Time elapsed: 0.011 s
% 1.26/0.49 % (817841)Peak memory usage: 10 MB
% 1.26/0.49 % (817841)Instructions burned: 24 (million)
% 1.26/0.49 % (817850)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=1580345263:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.26/0.49 % (817845)Instruction limit reached!
% 1.26/0.49 % (817845)------------------------------
% 1.26/0.49 % (817845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817845)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817845)Termination reason: Instruction limit
% 1.26/0.49 % (817845)Termination phase: shuffling
% 1.26/0.49 % (817845)Time elapsed: 0.006 s
% 1.26/0.49 % (817845)Peak memory usage: 10 MB
% 1.26/0.49 % (817845)Instructions burned: 15 (million)
% 1.26/0.49 % (817850)Instruction limit reached!
% 1.26/0.49 % (817850)------------------------------
% 1.26/0.49 % (817850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817850)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817850)Termination reason: Instruction limit
% 1.26/0.49 % (817850)Termination phase: Property scanning
% 1.26/0.49 % (817850)Time elapsed: 0.007 s
% 1.26/0.49 % (817850)Peak memory usage: 10 MB
% 1.26/0.49 % (817850)Instructions burned: 32 (million)
% 1.26/0.49 % (817852)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1078382541:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.26/0.49 % (817843)Instruction limit reached!
% 1.26/0.49 % (817843)------------------------------
% 1.26/0.49 % (817843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817843)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817843)Termination reason: Instruction limit
% 1.26/0.49 % (817843)Termination phase: Property scanning
% 1.26/0.49 % (817843)Time elapsed: 0.028 s
% 1.26/0.49 % (817843)Peak memory usage: 12 MB
% 1.26/0.49 % (817843)Instructions burned: 62 (million)
% 1.26/0.49 % (817855)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1478361830:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.26/0.49 % (817852)Instruction limit reached!
% 1.26/0.49 % (817852)------------------------------
% 1.26/0.49 % (817852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817852)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817852)Termination reason: Instruction limit
% 1.26/0.49 % (817852)Termination phase: shuffling
% 1.26/0.49 % (817852)Time elapsed: 0.004 s
% 1.26/0.49 % (817852)Peak memory usage: 10 MB
% 1.26/0.49 % (817852)Instructions burned: 7 (million)
% 1.26/0.49 % (817854)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=574210561:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.49 % (817855)Instruction limit reached!
% 1.26/0.49 % (817855)------------------------------
% 1.26/0.49 % (817855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817855)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817855)Termination reason: Instruction limit
% 1.26/0.49 % (817855)Termination phase: Property scanning
% 1.26/0.49 % (817855)Time elapsed: 0.009 s
% 1.26/0.49 % (817855)Peak memory usage: 10 MB
% 1.26/0.49 % (817855)Instructions burned: 21 (million)
% 1.26/0.49 % (817858)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=228196119:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.26/0.49 % (817854)Instruction limit reached!
% 1.26/0.49 % (817854)------------------------------
% 1.26/0.49 % (817854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (817854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (817854)CaDiCaL version: 2.1.3
% 1.26/0.49 % (817854)Termination reason: Instruction limit
% 1.26/0.49 % (817854)Termination phase: Property scanning
% 1.26/0.49 % (817854)Time elapsed: 0.010 s
% 1.26/0.49 % (817854)Peak memory usage: 10 MB
% 1.26/0.49 % (817854)Instructions burned: 24 (million)
% 1.26/0.49 % (817860)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2505601814:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.26/0.49 % (817755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-817745-817755"...
% 1.26/0.49 % (817861)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=434793281:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.26/0.49 % (817863)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1044458290:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.26/0.49 % (817755)...printing done.
% 1.26/0.49 % (817755)Refutation found. Thanks to Tanya!
% 1.26/0.49 % SZS status Theorem for theBenchmark
% 1.26/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.50 % (817755)------------------------------
% 1.26/0.50 % (817755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (817755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (817755)CaDiCaL version: 2.1.3
% 1.26/0.50 % (817755)Termination reason: Refutation
% 1.26/0.50 % (817755)Time elapsed: 0.173 s
% 1.26/0.50 % (817755)Peak memory usage: 18 MB
% 1.26/0.50 % (817755)Instructions burned: 324 (million)
% 1.26/0.50 % (817745)Success in time 0.209 s
% 1.26/0.50 % Vampire exiting
%------------------------------------------------------------------------------