%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 08:32:44 AM UTC 2026
% Result : Theorem 143.42s 23.82s
% Output : Refutation 143.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 2532 ( 636 equ; 0 cnn)
% Maximal formula atoms : 150 ( 56 avg)
% Number of connectives : 1717 ( 8 ~; 11 |; 438 &; 609 @)
% ( 0 <=>; 618 =>; 0 <=; 0 <~>)
% Maximal formula depth : 160 ( 26 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 266 ( 262 usr; 152 con; 0-4 aty)
% ( 33 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 110 ( 39 ^; 63 !; 8 ?; 110 :)
% 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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_169,type,
vAND: $o > $o > $o ).
thf(func_def_170,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_171,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_172,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_173,type,
vIMP: $o > $o > $o ).
thf(func_def_174,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_175,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_176,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_177,type,
vIFF: $o > $o > $o ).
thf(func_def_178,type,
vNOT: $o > $o ).
thf(func_def_179,type,
vOR: $o > $o > $o ).
thf(func_def_180,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_181,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_184,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_189,type,
sK4: $i > $i > $i ).
thf(func_def_190,type,
sK5: $i > $i > $i ).
thf(func_def_191,type,
sK6: $i > $i > $i ).
thf(func_def_192,type,
sK7: $i > $i > $i ).
thf(func_def_193,type,
sK8: $i > $i > $i ).
thf(func_def_194,type,
sK9: $i > $i > $i ).
thf(func_def_195,type,
sK10: $i > $i > $i ).
thf(func_def_196,type,
sK11: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_197,type,
sK12: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_198,type,
sK13: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_199,type,
sK14: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_200,type,
sK15: ( $i > $o ) > $i > $i ).
thf(func_def_201,type,
sK16: ( $i > $o ) > $i > $i ).
thf(func_def_202,type,
sK17: ( $i > $o ) > $i > $i ).
thf(func_def_203,type,
sK18: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_204,type,
sK19: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_205,type,
sK20: ( $i > $o ) > $i ).
thf(func_def_206,type,
sK21: ( $i > $o ) > $i > $i ).
thf(func_def_207,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_208,type,
sK23: ( $i > $o ) > $i > $i ).
thf(func_def_209,type,
sK24: ( $i > $o ) > $i > $i ).
thf(func_def_210,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_211,type,
sK26: ( $i > $o ) > $i > $i ).
thf(func_def_212,type,
sK27: ( $i > $o ) > $i ).
thf(func_def_213,type,
sK28: ( $i > $o ) > $i > $i ).
thf(func_def_214,type,
sK29: ( $i > $o ) > $i > $i ).
thf(func_def_215,type,
sK30: ( $i > $o ) > $i ).
thf(func_def_216,type,
sK31: ( $i > $o ) > $i > $i ).
thf(func_def_217,type,
sK32: ( $i > $o ) > $i ).
thf(func_def_218,type,
sK33: ( $i > $o ) > $i > $i ).
thf(func_def_219,type,
sK34: ( $i > $o ) > $i > $i ).
thf(func_def_220,type,
sK35: ( $i > $o ) > $i > $i ).
thf(func_def_221,type,
sK36: ( $i > $o ) > $i ).
thf(func_def_222,type,
sK37: ( $i > $o ) > $i > $i ).
thf(func_def_223,type,
sK38: ( $i > $o ) > $i ).
thf(func_def_224,type,
sK39: ( $i > $o ) > $i ).
thf(func_def_225,type,
sK40: ( $i > $o ) > $i ).
thf(func_def_226,type,
sK41: ( $i > $o ) > $i ).
thf(func_def_227,type,
sK42: ( $i > $o ) > $i > $i ).
thf(func_def_228,type,
sK43: ( $i > $o ) > $i > $i ).
thf(func_def_229,type,
sK44: ( $i > $o ) > $i > $i ).
thf(func_def_230,type,
sK45: ( $i > $o ) > $i > $i ).
thf(func_def_231,type,
sK46: ( $i > $o ) > $i > $i ).
thf(func_def_232,type,
sK47: ( $i > $o ) > $i > $i ).
thf(func_def_233,type,
sK48: ( $i > $o ) > $i > $i ).
thf(func_def_234,type,
sK49: $i > $i ).
thf(func_def_235,type,
sK50: ( $i > $o ) > $i ).
thf(func_def_236,type,
sK51: ( $i > $o ) > $i > $i ).
thf(func_def_237,type,
sK52: $i > $o > $i > $i ).
thf(func_def_238,type,
sK53: $i > $i > $i ).
thf(func_def_239,type,
sK54: $i > $i ).
thf(func_def_240,type,
sK55: $i > $i ).
thf(func_def_241,type,
sK56: $i > $i ).
thf(func_def_242,type,
sK57: $i > $i > $i ).
thf(func_def_243,type,
sK58: $i > $i > $i ).
thf(func_def_244,type,
sK59: ( $i > $o ) > $i ).
thf(func_def_245,type,
sK60: ( $i > $o ) > $i > $i ).
thf(func_def_246,type,
sK61: ( $i > $o ) > $i ).
thf(func_def_247,type,
sK62: ( $i > $o ) > $i > $i ).
thf(func_def_248,type,
sK63: ( $i > $o ) > $i > $i ).
thf(func_def_249,type,
sK64: $i > $i ).
thf(func_def_250,type,
sK65: $i > $i > $i > $i ).
thf(func_def_251,type,
sK66: $i > $i > $i ).
thf(func_def_252,type,
sK67: $i > $i > $i ).
thf(func_def_253,type,
sK68: $i > $i > $i ).
thf(func_def_254,type,
sK69: $i > $i ).
thf(func_def_255,type,
sK70: $i > ( $i > $i > $o ) > $i ).
thf(func_def_256,type,
sK71: $i > ( $i > $i > $o ) > $i ).
thf(func_def_257,type,
sK72: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_258,type,
sK73: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_259,type,
sK74: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_260,type,
sK75: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_261,type,
sK76: $i > $i ).
thf(func_def_262,type,
sK77: $i > $i > $i ).
thf(func_def_263,type,
sK78: $i > $i > $i ).
thf(func_def_264,type,
sK79: $i > $i > $i ).
thf(f95,axiom,
( powersetI1
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI1) ).
thf(f149,axiom,
( ubforcartprodlem1
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem1) ).
thf(f150,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem2) ).
thf(f151,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f150]) ).
thf(f330,plain,
( powersetI1
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f95]) ).
thf(f331,plain,
( powersetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f330]) ).
thf(f436,plain,
( ubforcartprodlem1
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f149]) ).
thf(f437,plain,
( ubforcartprodlem1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f436]) ).
thf(f438,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f151]) ).
thf(f439,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 )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f438]) ).
thf(f440,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ? [X3: $i] :
( ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) )
& ( ( in @ X2 @ X0 )
= $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,[],[f439]) ).
thf(f441,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ? [X3: $i] :
( ( ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) )
& ( ( in @ X2 @ X0 )
= $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(flattening,[],[f440]) ).
thf(f442,plain,
( ( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
& ( $true
= ( in @ sK3 @ sK1 ) )
& ( $true
= ( in @ sK2 @ sK0 ) )
& ( 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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f441]) ).
thf(f537,plain,
( powersetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f331]) ).
thf(f591,plain,
( ubforcartprodlem1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f437]) ).
thf(f684,plain,
powersetI1 = $true,
inference(cnf_transformation,[],[f442]) ).
thf(f735,plain,
ubforcartprodlem1 = $true,
inference(cnf_transformation,[],[f442]) ).
thf(f736,plain,
( $true
= ( in @ sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f442]) ).
thf(f737,plain,
( $true
= ( in @ sK3 @ sK1 ) ),
inference(cnf_transformation,[],[f442]) ).
thf(f738,plain,
( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ),
inference(cnf_transformation,[],[f442]) ).
thf(f834,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f537,f684]) ).
thf(f885,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f591,f735]) ).
thf(f886,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f885]) ).
thf(f887,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f886]) ).
thf(f888,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f887]) ).
thf(f889,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ X2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f888]) ).
thf(f890,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ Y0 @ X2 ) ) ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f889]) ).
thf(f891,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f890]) ).
thf(f892,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f891]) ).
thf(f893,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f892]) ).
thf(f894,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( ( in @ X4 @ X2 )
=> ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f893]) ).
thf(f895,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( subset @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) )
| ( ( in @ X4 @ X2 )
= $false )
| ( ( in @ X1 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f894]) ).
thf(f1283,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f834]) ).
thf(f1284,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ X1 @ Y0 )
=> ( in @ X1 @ ( powerset @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1283]) ).
thf(f1285,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( subset @ X1 @ Y0 )
=> ( in @ X1 @ ( powerset @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1284]) ).
thf(f1286,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( subset @ X1 @ X2 )
=> ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f1285]) ).
thf(f1287,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( ( subset @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1286]) ).
thf(f4626,plain,
( ( $true != $true )
| ( $false
= ( subset @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f738,f1287]) ).
thf(f4644,plain,
( $false
= ( subset @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f4626]) ).
thf(f311166,plain,
( ( $false = $true )
| ( $false
= ( in @ sK3 @ sK1 ) )
| ( $false
= ( in @ sK2 @ sK0 ) ) ),
inference(constrained_superposition,[],[f895,f4644]) ).
thf(f311247,plain,
( ( $false
= ( in @ sK3 @ sK1 ) )
| ( $false
= ( in @ sK2 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f311166]) ).
thf(f311329,plain,
( ( $false = $true )
| ( $false
= ( in @ sK3 @ sK1 ) ) ),
inference(forward_demodulation,[],[f311247,f736]) ).
thf(f311330,plain,
( $false
= ( in @ sK3 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f311329]) ).
thf(f311398,plain,
$false = $true,
inference(constrained_superposition,[],[f737,f311330]) ).
thf(f311477,plain,
$false,
inference(trivial_inequality_removal,[],[f311398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:59:17 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.11/0.91 % (1711649)Will run a generic schedule for satisfiability detection.
% 4.11/0.91 % (1711663)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1021797141:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.11/0.91 % (1711660)% WARNING: option uhcvi not known.
% 4.11/0.91 % (1711661)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=899468654:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.11/0.91 % (1711659)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3746949894_2999 on theBenchmark for (2999ds/0Mi)
% 4.11/0.91 % (1711662)dis+10_1_sil=32000:sp=arity:random_seed=2204878581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.11/0.91 % (1711660)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=38090767:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.11/0.91 % (1711663)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.11/0.91 % (1711664)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=589309015:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.11/0.91 % (1711665)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2476759996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.11/0.91 % (1711660)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.11/0.91 % (1711663)Instruction limit reached!
% 4.11/0.91 % (1711663)------------------------------
% 4.11/0.91 % (1711663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.91 % (1711663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.91 % (1711663)CaDiCaL version: 2.1.3
% 4.11/0.91 % (1711663)Termination reason: Instruction limit
% 4.11/0.91 % (1711663)Termination phase: Saturation
% 4.11/0.91 % (1711663)Time elapsed: 0.028 s
% 4.11/0.91 % (1711663)Peak memory usage: 13 MB
% 4.11/0.91 % (1711663)Instructions burned: 118 (million)
% 4.11/0.91 % Exception at run slice level
% 4.11/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.11/0.91 % (1711660)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.11/0.91 % (1711688)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=83825714:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.11/0.91 % (1711691)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4188278559:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.11/0.91 % (1711662)Instruction limit reached!
% 4.11/0.91 % (1711662)------------------------------
% 4.11/0.91 % (1711662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.91 % (1711662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.91 % (1711662)CaDiCaL version: 2.1.3
% 4.11/0.91 % (1711662)Termination reason: Instruction limit
% 4.11/0.91 % (1711662)Termination phase: Saturation
% 4.11/0.91 % (1711662)Time elapsed: 0.045 s
% 4.11/0.91 % (1711662)Peak memory usage: 13 MB
% 4.11/0.91 % (1711662)Instructions burned: 103 (million)
% 4.11/0.91 % Exception at run slice level
% 4.11/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.11/0.91 % (1711709)ott-21_1_sil=16000:fs=off:random_seed=2746760932:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.11/0.91 % (1711664)Instruction limit reached!
% 4.11/0.91 % (1711664)------------------------------
% 4.11/0.91 % (1711664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.91 % (1711664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.91 % (1711664)CaDiCaL version: 2.1.3
% 4.11/0.91 % (1711664)Termination reason: Instruction limit
% 4.11/0.91 % (1711664)Termination phase: Saturation
% 4.11/0.91 % (1711664)Time elapsed: 0.059 s
% 4.11/0.91 % (1711664)Peak memory usage: 13 MB
% 4.11/0.91 % (1711664)Instructions burned: 132 (million)
% 4.11/0.91 % (1711707)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3046693738:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.11/0.91 % (1711665)Instruction limit reached!
% 4.11/0.91 % (1711665)------------------------------
% 4.11/0.91 % (1711665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.91 % (1711665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/2.72 % (1711665)CaDiCaL version: 2.1.3
% 17.11/2.72 % (1711665)Termination reason: Instruction limit
% 17.11/2.72 % (1711665)Termination phase: Saturation
% 17.11/2.72 % (1711665)Time elapsed: 0.072 s
% 17.11/2.72 % (1711665)Peak memory usage: 14 MB
% 17.11/2.72 % (1711665)Instructions burned: 159 (million)
% 17.11/2.72 % (1711707)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.11/2.72 % (1711718)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3522006626:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 17.11/2.72 % (1711721)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1198566927:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.11/2.72 % (1711691)Instruction limit reached!
% 17.11/2.72 % (1711691)------------------------------
% 17.11/2.72 % (1711691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.11/2.72 % (1711707)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.11/2.72 % (1711691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/2.72 % (1711691)CaDiCaL version: 2.1.3
% 17.11/2.72 % (1711691)Termination reason: Instruction limit
% 17.11/2.72 % (1711691)Termination phase: Saturation
% 17.11/2.72 % (1711691)Time elapsed: 0.059 s
% 17.11/2.72 % (1711691)Peak memory usage: 13 MB
% 17.11/2.72 % (1711691)Instructions burned: 132 (million)
% 17.11/2.72 % (1711709)Instruction limit reached!
% 17.11/2.72 % (1711709)------------------------------
% 17.11/2.72 % (1711709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.11/2.72 % (1711709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/2.72 % (1711709)CaDiCaL version: 2.1.3
% 17.11/2.72 % (1711709)Termination reason: Instruction limit
% 17.11/2.72 % (1711709)Termination phase: Saturation
% 17.11/2.72 % (1711709)Time elapsed: 0.055 s
% 17.11/2.72 % (1711709)Peak memory usage: 13 MB
% 17.11/2.72 % (1711709)Instructions burned: 183 (million)
% 17.11/2.72 % Exception at run slice level
% 17.11/2.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.11/2.72 % (1711728)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=86413903:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.11/2.72 % (1711727)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2136528822:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.11/2.72 % Exception at run slice level
% 17.11/2.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.11/2.72 % (1711729)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=838574756:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.11/2.72 % (1711732)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3478208588:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.11/2.72 % (1711732)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.11/2.72 % (1711729)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.11/2.72 % (1711707)Instruction limit reached!
% 17.11/2.72 % (1711707)------------------------------
% 17.11/2.72 % (1711707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.11/2.72 % (1711707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/2.72 % (1711707)CaDiCaL version: 2.1.3
% 17.11/2.72 % (1711707)Termination reason: Instruction limit
% 17.11/2.72 % (1711707)Termination phase: Saturation
% 17.11/2.72 % (1711707)Time elapsed: 0.276 s
% 17.11/2.72 % (1711707)Peak memory usage: 15 MB
% 17.11/2.72 % (1711707)Instructions burned: 686 (million)
% 17.11/2.72 % (1711718)Instruction limit reached!
% 17.11/2.72 % (1711718)------------------------------
% 17.11/2.72 % (1711718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.11/2.72 % (1711718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/2.72 % (1711718)CaDiCaL version: 2.1.3
% 17.11/2.72 % (1711718)Termination reason: Instruction limit
% 17.11/2.72 % (1711718)Termination phase: Saturation
% 17.11/2.72 % (1711718)Time elapsed: 0.256 s
% 17.11/2.72 % (1711718)Peak memory usage: 14 MB
% 17.11/2.72 % (1711718)Instructions burned: 478 (million)
% 17.11/2.72 % (1711735)fmb+10_1_sil=64000:random_seed=266496641:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 40.34/6.42 % (1711736)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2597486974:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 40.34/6.42 % (1711735)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.34/6.42 % (1711732)Instruction limit reached!
% 40.34/6.42 % (1711732)------------------------------
% 40.34/6.42 % (1711732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.34/6.42 % (1711732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.34/6.42 % (1711732)CaDiCaL version: 2.1.3
% 40.34/6.42 % (1711732)Termination reason: Instruction limit
% 40.34/6.42 % (1711732)Termination phase: Saturation
% 40.34/6.42 % (1711732)Time elapsed: 0.233 s
% 40.34/6.42 % (1711732)Peak memory usage: 17 MB
% 40.34/6.42 % (1711732)Instructions burned: 880 (million)
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.34/6.42 % (1711739)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=993093529:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 40.34/6.42 % (1711740)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2817887529:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 40.34/6.42 % (1711741)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=752535327:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 40.34/6.42 % (1711740)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.34/6.42 % (1711741)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.34/6.42 % (1711745)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2075347809:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 40.34/6.42 % (1711741)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 40.34/6.42 % (1711729)Instruction limit reached!
% 40.34/6.42 % (1711729)------------------------------
% 40.34/6.42 % (1711729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.34/6.42 % (1711729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.34/6.42 % (1711729)CaDiCaL version: 2.1.3
% 40.34/6.42 % (1711729)Termination reason: Instruction limit
% 40.34/6.42 % (1711729)Termination phase: Saturation
% 40.34/6.42 % (1711729)Time elapsed: 0.300 s
% 40.34/6.42 % (1711729)Peak memory usage: 16 MB
% 40.34/6.42 % (1711729)Instructions burned: 694 (million)
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.34/6.42 % (1711748)ott-2_1_sil=16000:newcnf=on:random_seed=2907152788:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 40.34/6.42 % (1711747)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2011789720:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 40.34/6.42 % (1711748)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.34/6.42 % (1711751)ott+10_1_sil=32000:tgt=ground:random_seed=2327343504:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 40.34/6.42 % (1711748)Instruction limit reached!
% 40.34/6.42 % (1711748)------------------------------
% 40.34/6.42 % (1711748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.34/6.42 % (1711748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.34/6.42 % (1711748)CaDiCaL version: 2.1.3
% 40.34/6.42 % (1711748)Termination reason: Instruction limit
% 40.34/6.42 % (1711748)Termination phase: Saturation
% 40.34/6.42 % (1711748)Time elapsed: 0.167 s
% 40.34/6.42 % (1711748)Peak memory usage: 14 MB
% 40.34/6.42 % (1711748)Instructions burned: 870 (million)
% 40.34/6.42 % (1711753)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2789547379:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 40.34/6.42 % Exception at run slice level
% 40.34/6.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.81/12.90 % (1711755)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=362263546:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 89.81/12.90 % (1711755)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.81/12.90 % (1711727)Instruction limit reached!
% 89.81/12.90 % (1711727)------------------------------
% 89.81/12.90 % (1711727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.81/12.90 % (1711727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.81/12.90 % (1711727)CaDiCaL version: 2.1.3
% 89.81/12.90 % (1711727)Termination reason: Instruction limit
% 89.81/12.90 % (1711727)Termination phase: Saturation
% 89.81/12.90 % (1711727)Time elapsed: 0.555 s
% 89.81/12.90 % (1711727)Peak memory usage: 18 MB
% 89.81/12.90 % (1711727)Instructions burned: 1180 (million)
% 89.81/12.90 % (1711757)dis+21_1_sil=32000:sas=cadical:random_seed=1345146257:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 89.81/12.90 % (1711741)Instruction limit reached!
% 89.81/12.90 % (1711741)------------------------------
% 89.81/12.90 % (1711741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.81/12.90 % (1711741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.81/12.90 % (1711741)CaDiCaL version: 2.1.3
% 89.81/12.90 % (1711741)Termination reason: Instruction limit
% 89.81/12.90 % (1711741)Termination phase: Saturation
% 89.81/12.90 % (1711741)Time elapsed: 0.682 s
% 89.81/12.90 % (1711741)Peak memory usage: 24 MB
% 89.81/12.90 % (1711741)Instructions burned: 1472 (million)
% 89.81/12.90 % (1711759)ott+11_1_sil=16000:gs=on:random_seed=1063929346:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 89.81/12.90 % (1711759)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.81/12.90 % (1711755)Instruction limit reached!
% 89.81/12.90 % (1711755)------------------------------
% 89.81/12.90 % (1711755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.81/12.90 % (1711755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.81/12.90 % (1711755)CaDiCaL version: 2.1.3
% 89.81/12.90 % (1711755)Termination reason: Instruction limit
% 89.81/12.90 % (1711755)Termination phase: Saturation
% 89.81/12.90 % (1711755)Time elapsed: 0.862 s
% 89.81/12.90 % (1711755)Peak memory usage: 23 MB
% 89.81/12.90 % (1711755)Instructions burned: 3514 (million)
% 89.81/12.90 % (1711761)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=950027843:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 89.81/12.90 % Exception at run slice level
% 89.81/12.90 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.81/12.90 % (1711763)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=637171881:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 89.81/12.90 % (1711759)Instruction limit reached!
% 89.81/12.90 % (1711759)------------------------------
% 89.81/12.90 % (1711759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.81/12.90 % (1711759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.81/12.90 % (1711759)CaDiCaL version: 2.1.3
% 89.81/12.90 % (1711759)Termination reason: Instruction limit
% 89.81/12.90 % (1711759)Termination phase: Saturation
% 89.81/12.90 % (1711759)Time elapsed: 0.934 s
% 89.81/12.90 % (1711759)Peak memory usage: 16 MB
% 89.81/12.90 % (1711759)Instructions burned: 2251 (million)
% 89.81/12.90 % (1711765)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3554623289:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 89.81/12.90 % (1711757)Instruction limit reached!
% 89.81/12.90 % (1711757)------------------------------
% 89.81/12.90 % (1711757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.81/12.90 % (1711757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.81/12.90 % (1711757)CaDiCaL version: 2.1.3
% 89.81/12.90 % (1711757)Termination reason: Instruction limit
% 89.81/12.90 % (1711757)Termination phase: Saturation
% 89.81/12.90 % (1711757)Time elapsed: 1.742 s
% 89.81/12.90 % (1711757)Peak memory usage: 24 MB
% 89.81/12.90 % (1711757)Instructions burned: 3775 (million)
% 89.81/12.90 % (1711767)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1767638458:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 99.09/14.27 % (1711740)Instruction limit reached!
% 99.09/14.27 % (1711740)------------------------------
% 99.09/14.27 % (1711740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.09/14.27 % (1711740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/14.27 % (1711740)CaDiCaL version: 2.1.3
% 99.09/14.27 % (1711740)Termination reason: Instruction limit
% 99.09/14.27 % (1711740)Termination phase: Saturation
% 99.09/14.27 % (1711740)Time elapsed: 2.241 s
% 99.09/14.27 % (1711740)Peak memory usage: 25 MB
% 99.09/14.27 % (1711740)Instructions burned: 5132 (million)
% 99.09/14.27 % (1711769)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2480142268:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 99.09/14.27 % (1711763)Instruction limit reached!
% 99.09/14.27 % (1711763)------------------------------
% 99.09/14.27 % (1711763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.09/14.27 % (1711763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/14.27 % (1711763)CaDiCaL version: 2.1.3
% 99.09/14.27 % (1711763)Termination reason: Instruction limit
% 99.09/14.27 % (1711763)Termination phase: Saturation
% 99.09/14.27 % (1711763)Time elapsed: 1.114 s
% 99.09/14.27 % (1711763)Peak memory usage: 29 MB
% 99.09/14.27 % (1711763)Instructions burned: 4592 (million)
% 99.09/14.27 % (1711771)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2966646238:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 99.09/14.27 % Exception at run slice level
% 99.09/14.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.09/14.27 % Exception at run slice level
% 99.09/14.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.09/14.27 % (1711773)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3615105894:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 99.09/14.27 % (1711774)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3741277096:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 99.09/14.27 % Exception at run slice level
% 99.09/14.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.09/14.27 % (1711777)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2694652929:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 99.09/14.27 % (1711751)Instruction limit reached!
% 99.09/14.27 % (1711751)------------------------------
% 99.09/14.27 % (1711751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.09/14.27 % (1711751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/14.27 % (1711751)CaDiCaL version: 2.1.3
% 99.09/14.27 % (1711751)Termination reason: Instruction limit
% 99.09/14.27 % (1711751)Termination phase: Saturation
% 99.09/14.27 % (1711751)Time elapsed: 2.372 s
% 99.09/14.27 % (1711751)Peak memory usage: 32 MB
% 99.09/14.27 % (1711751)Instructions burned: 5114 (million)
% 99.09/14.27 % (1711779)dis+10_16:1_sil=16000:random_seed=3453977427:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 99.09/14.27 % (1711767)Instruction limit reached!
% 99.09/14.27 % (1711767)------------------------------
% 99.09/14.27 % (1711767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.09/14.27 % (1711767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/14.27 % (1711767)CaDiCaL version: 2.1.3
% 99.09/14.27 % (1711767)Termination reason: Instruction limit
% 99.09/14.27 % (1711767)Termination phase: Saturation
% 99.09/14.27 % (1711767)Time elapsed: 2.520 s
% 99.09/14.27 % (1711767)Peak memory usage: 33 MB
% 99.09/14.27 % (1711767)Instructions burned: 5211 (million)
% 99.09/14.27 % (1711781)ott-3_8_sil=64000:random_seed=2207193435:i=20139:bs=on_2949 on theBenchmark for (2949ds/20139Mi)
% 99.09/14.27 % (1711777)Instruction limit reached!
% 99.09/14.27 % (1711777)------------------------------
% 99.09/14.27 % (1711777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.09/14.27 % (1711777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.09/14.27 % (1711777)CaDiCaL version: 2.1.3
% 99.09/14.27 % (1711777)Termination reason: Instruction limit
% 99.09/14.27 % (1711777)Termination phase: Saturation
% 99.09/14.27 % (1711777)Time elapsed: 3.376 s
% 99.09/14.27 % (1711777)Peak memory usage: 29 MB
% 99.09/14.27 % (1711777)Instructions burned: 8173 (million)
% 99.09/14.27 % (1711783)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2608265122:fmbsr=2:i=32576_2938 on theBenchmark for (2938ds/32576Mi)
% 107.62/15.46 % Exception at run slice level
% 107.62/15.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 107.62/15.46 % (1711785)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3865780171:i=11404_2937 on theBenchmark for (2937ds/11404Mi)
% 107.62/15.46 % (1711774)Instruction limit reached!
% 107.62/15.46 % (1711774)------------------------------
% 107.62/15.46 % (1711774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.62/15.46 % (1711774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.62/15.46 % (1711774)CaDiCaL version: 2.1.3
% 107.62/15.46 % (1711774)Termination reason: Instruction limit
% 107.62/15.46 % (1711774)Termination phase: Saturation
% 107.62/15.46 % (1711774)Time elapsed: 3.570 s
% 107.62/15.46 % (1711774)Peak memory usage: 17 MB
% 107.62/15.46 % (1711774)Instructions burned: 22567 (million)
% 107.62/15.46 % (1711787)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=710077553:i=14134_2936 on theBenchmark for (2936ds/14134Mi)
% 107.62/15.46 % (1711787)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 107.62/15.46 % (1711779)Instruction limit reached!
% 107.62/15.46 % (1711779)------------------------------
% 107.62/15.46 % (1711779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.62/15.46 % (1711779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.62/15.46 % (1711779)CaDiCaL version: 2.1.3
% 107.62/15.46 % (1711779)Termination reason: Instruction limit
% 107.62/15.46 % (1711779)Termination phase: Saturation
% 107.62/15.46 % (1711779)Time elapsed: 4.079 s
% 107.62/15.46 % (1711779)Peak memory usage: 36 MB
% 107.62/15.46 % (1711779)Instructions burned: 9155 (million)
% 107.62/15.46 % (1711789)dis+33_16_sil=32000:sac=on:random_seed=1779818919:i=15851:nm=0_2929 on theBenchmark for (2929ds/15851Mi)
% 107.62/15.46 % (1711787)Instruction limit reached!
% 107.62/15.46 % (1711787)------------------------------
% 107.62/15.46 % (1711787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.62/15.46 % (1711787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.62/15.46 % (1711787)CaDiCaL version: 2.1.3
% 107.62/15.46 % (1711787)Termination reason: Instruction limit
% 107.62/15.46 % (1711787)Termination phase: Saturation
% 107.62/15.46 % (1711787)Time elapsed: 3.185 s
% 107.62/15.46 % (1711787)Peak memory usage: 40 MB
% 107.62/15.46 % (1711787)Instructions burned: 14135 (million)
% 107.62/15.46 % (1711791)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1279926184:avsq=on:i=17627:add=on:amm=off_2904 on theBenchmark for (2904ds/17627Mi)
% 107.62/15.46 % (1711785)Instruction limit reached!
% 107.62/15.46 % (1711785)------------------------------
% 107.62/15.46 % (1711785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.62/15.46 % (1711785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.62/15.46 % (1711785)CaDiCaL version: 2.1.3
% 107.62/15.46 % (1711785)Termination reason: Instruction limit
% 107.62/15.46 % (1711785)Termination phase: Saturation
% 107.62/15.46 % (1711785)Time elapsed: 5.442 s
% 107.62/15.46 % (1711785)Peak memory usage: 51 MB
% 107.62/15.46 % (1711785)Instructions burned: 11406 (million)
% 107.62/15.46 % (1711793)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3069513187:s2a=on:i=53295_2883 on theBenchmark for (2883ds/53295Mi)
% 107.62/15.46 % (1711781)Instruction limit reached!
% 107.62/15.46 % (1711781)------------------------------
% 107.62/15.46 % (1711781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.62/15.46 % (1711781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.62/15.46 % (1711781)CaDiCaL version: 2.1.3
% 107.62/15.46 % (1711781)Termination reason: Instruction limit
% 107.62/15.46 % (1711781)Termination phase: Saturation
% 107.62/15.46 % (1711781)Time elapsed: 7.479 s
% 107.62/15.46 % (1711781)Peak memory usage: 21 MB
% 107.62/15.46 % (1711781)Instructions burned: 20141 (million)
% 107.62/15.46 % (1711795)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1807350802:i=26857:ins=20_2874 on theBenchmark for (2874ds/26857Mi)
% 107.62/15.46 % Exception at run slice level
% 107.62/15.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 107.62/15.46 % (1711797)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=516068175:i=28120:bs=on:fsr=off_2874 on theBenchmark for (2874ds/28120Mi)
% 107.62/15.46 % (1711789)Instruction limit reached!
% 107.62/15.46 % (1711789)------------------------------
% 107.62/15.46 % (1711789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.07 % (1711789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.07 % (1711789)CaDiCaL version: 2.1.3
% 126.30/18.07 % (1711789)Termination reason: Instruction limit
% 126.30/18.07 % (1711789)Termination phase: Saturation
% 126.30/18.07 % (1711789)Time elapsed: 5.638 s
% 126.30/18.07 % (1711789)Peak memory usage: 17 MB
% 126.30/18.07 % (1711789)Instructions burned: 15851 (million)
% 126.30/18.07 % (1711799)fmb+10_1_sil=256000:fmbss=7:random_seed=2714301774:fmbsr=1.6:i=182295_2873 on theBenchmark for (2873ds/182295Mi)
% 126.30/18.07 % (1711791)Instruction limit reached!
% 126.30/18.07 % (1711791)------------------------------
% 126.30/18.07 % (1711791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.07 % (1711791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.07 % (1711791)CaDiCaL version: 2.1.3
% 126.30/18.07 % (1711791)Termination reason: Instruction limit
% 126.30/18.07 % (1711791)Termination phase: Saturation
% 126.30/18.07 % (1711791)Time elapsed: 3.183 s
% 126.30/18.07 % (1711791)Peak memory usage: 17 MB
% 126.30/18.07 % (1711791)Instructions burned: 17632 (million)
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % (1711801)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=778647129:i=44625:gsp=on_2872 on theBenchmark for (2872ds/44625Mi)
% 126.30/18.07 % (1711801)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 126.30/18.07 % (1711801)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % (1711802)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2143952429:i=160505_2872 on theBenchmark for (2872ds/160505Mi)
% 126.30/18.07 % (1711804)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=1695898389:fmbsr=1.3:i=225729_2872 on theBenchmark for (2872ds/225729Mi)
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % (1711807)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=3524917464:fmbsr=2:i=185024:ins=7_2872 on theBenchmark for (2872ds/185024Mi)
% 126.30/18.07 % (1711808)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=1789748559:rtra=on_2872 on theBenchmark for (2872ds/0Mi)
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % (1711811)% WARNING: option uhcvi not known.
% 126.30/18.07 % (1711811)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3747440209:i=271062:add=off:rtra=on:rawr=on_2872 on theBenchmark for (2872ds/271062Mi)
% 126.30/18.07 % Exception at run slice level
% 126.30/18.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.07 % (1711811)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 126.30/18.07 % (1711811)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 126.30/18.07 % (1711813)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2435904593:i=176048:add=on:rtra=on:rawr=on_2871 on theBenchmark for (2871ds/176048Mi)
% 126.30/18.07 % (1711765)Instruction limit reached!
% 126.30/18.07 % (1711765)------------------------------
% 126.30/18.07 % (1711765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.07 % (1711765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.07 % (1711765)CaDiCaL version: 2.1.3
% 126.30/18.07 % (1711765)Termination reason: Instruction limit
% 126.30/18.07 % (1711765)Termination phase: Saturation
% 126.30/18.07 % (1711765)Time elapsed: 11.809 s
% 126.30/18.07 % (1711765)Peak memory usage: 57 MB
% 126.30/18.07 % (1711765)Instructions burned: 29340 (million)
% 126.30/18.07 % (1711861)dis+10_1_sil=32000:si=on:sp=arity:random_seed=2902771899:i=206:fgj=on:rtra=on_2860 on theBenchmark for (2860ds/206Mi)
% 126.30/18.07 % (1711861)Instruction limit reached!
% 126.30/18.07 % (1711861)------------------------------
% 143.42/23.82 % (1711861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711861)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711861)Termination reason: Instruction limit
% 143.42/23.82 % (1711861)Termination phase: Saturation
% 143.42/23.82 % (1711861)Time elapsed: 0.099 s
% 143.42/23.82 % (1711861)Peak memory usage: 14 MB
% 143.42/23.82 % (1711861)Instructions burned: 207 (million)
% 143.42/23.82 % (1711863)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=843431422:i=232:rtra=on_2859 on theBenchmark for (2859ds/232Mi)
% 143.42/23.82 % (1711863)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 143.42/23.82 % (1711863)Instruction limit reached!
% 143.42/23.82 % (1711863)------------------------------
% 143.42/23.82 % (1711863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711863)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711863)Termination reason: Instruction limit
% 143.42/23.82 % (1711863)Termination phase: Saturation
% 143.42/23.82 % (1711863)Time elapsed: 0.112 s
% 143.42/23.82 % (1711863)Peak memory usage: 14 MB
% 143.42/23.82 % (1711863)Instructions burned: 233 (million)
% 143.42/23.82 % (1711865)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=3621846588:i=262:rtra=on_2858 on theBenchmark for (2858ds/262Mi)
% 143.42/23.82 % (1711865)Instruction limit reached!
% 143.42/23.82 % (1711865)------------------------------
% 143.42/23.82 % (1711865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711865)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711865)Termination reason: Instruction limit
% 143.42/23.82 % (1711865)Termination phase: Saturation
% 143.42/23.82 % (1711865)Time elapsed: 0.125 s
% 143.42/23.82 % (1711865)Peak memory usage: 14 MB
% 143.42/23.82 % (1711865)Instructions burned: 263 (million)
% 143.42/23.82 % (1711867)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2593039971:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2856 on theBenchmark for (2856ds/318Mi)
% 143.42/23.82 % (1711867)Instruction limit reached!
% 143.42/23.82 % (1711867)------------------------------
% 143.42/23.82 % (1711867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711867)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711867)Termination reason: Instruction limit
% 143.42/23.82 % (1711867)Termination phase: Saturation
% 143.42/23.82 % (1711867)Time elapsed: 0.144 s
% 143.42/23.82 % (1711867)Peak memory usage: 14 MB
% 143.42/23.82 % (1711867)Instructions burned: 319 (million)
% 143.42/23.82 % (1711869)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=1980007235:i=1428:nm=2:rtra=on_2855 on theBenchmark for (2855ds/1428Mi)
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711871)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=793931819:i=262:bd=preordered:rtra=on:fsd=on_2854 on theBenchmark for (2854ds/262Mi)
% 143.42/23.82 % (1711871)Instruction limit reached!
% 143.42/23.82 % (1711871)------------------------------
% 143.42/23.82 % (1711871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711871)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711871)Termination reason: Instruction limit
% 143.42/23.82 % (1711871)Termination phase: Saturation
% 143.42/23.82 % (1711871)Time elapsed: 0.123 s
% 143.42/23.82 % (1711871)Peak memory usage: 14 MB
% 143.42/23.82 % (1711871)Instructions burned: 264 (million)
% 143.42/23.82 % (1711873)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1975997906:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2853 on theBenchmark for (2853ds/1368Mi)
% 143.42/23.82 % (1711873)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 143.42/23.82 % (1711873)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 143.42/23.82 % (1711873)Instruction limit reached!
% 143.42/23.82 % (1711873)------------------------------
% 143.42/23.82 % (1711873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711873)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711873)Termination reason: Instruction limit
% 143.42/23.82 % (1711873)Termination phase: Saturation
% 143.42/23.82 % (1711873)Time elapsed: 0.541 s
% 143.42/23.82 % (1711873)Peak memory usage: 15 MB
% 143.42/23.82 % (1711873)Instructions burned: 1370 (million)
% 143.42/23.82 % (1711875)ott-21_1_sil=16000:si=on:fs=off:random_seed=2438000463:i=360:av=off:fsr=off:rtra=on_2847 on theBenchmark for (2847ds/360Mi)
% 143.42/23.82 % (1711875)Instruction limit reached!
% 143.42/23.82 % (1711875)------------------------------
% 143.42/23.82 % (1711875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711875)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711875)Termination reason: Instruction limit
% 143.42/23.82 % (1711875)Termination phase: Saturation
% 143.42/23.82 % (1711875)Time elapsed: 0.170 s
% 143.42/23.82 % (1711875)Peak memory usage: 14 MB
% 143.42/23.82 % (1711875)Instructions burned: 361 (million)
% 143.42/23.82 % (1711877)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2323320477:i=954:bd=all:rtra=on_2845 on theBenchmark for (2845ds/954Mi)
% 143.42/23.82 % (1711877)Instruction limit reached!
% 143.42/23.82 % (1711877)------------------------------
% 143.42/23.82 % (1711877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711877)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711877)Termination reason: Instruction limit
% 143.42/23.82 % (1711877)Termination phase: Saturation
% 143.42/23.82 % (1711877)Time elapsed: 0.510 s
% 143.42/23.82 % (1711877)Peak memory usage: 15 MB
% 143.42/23.82 % (1711877)Instructions burned: 955 (million)
% 143.42/23.82 % (1711879)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=404619236:fmbsr=1.3:i=1730:ins=25:rtra=on_2840 on theBenchmark for (2840ds/1730Mi)
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711881)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=760726918:i=2358:rtra=on_2840 on theBenchmark for (2840ds/2358Mi)
% 143.42/23.82 % (1711881)Instruction limit reached!
% 143.42/23.82 % (1711881)------------------------------
% 143.42/23.82 % (1711881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711881)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711881)Termination reason: Instruction limit
% 143.42/23.82 % (1711881)Termination phase: Saturation
% 143.42/23.82 % (1711881)Time elapsed: 1.166 s
% 143.42/23.82 % (1711881)Peak memory usage: 22 MB
% 143.42/23.82 % (1711881)Instructions burned: 2358 (million)
% 143.42/23.82 % (1711883)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=3056966687:i=1778:ins=1:rtra=on_2828 on theBenchmark for (2828ds/1778Mi)
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711885)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3102764407:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2827 on theBenchmark for (2827ds/1384Mi)
% 143.42/23.82 % (1711885)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 143.42/23.82 % (1711885)Instruction limit reached!
% 143.42/23.82 % (1711885)------------------------------
% 143.42/23.82 % (1711885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711885)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711885)Termination reason: Instruction limit
% 143.42/23.82 % (1711885)Termination phase: Saturation
% 143.42/23.82 % (1711885)Time elapsed: 0.565 s
% 143.42/23.82 % (1711885)Peak memory usage: 16 MB
% 143.42/23.82 % (1711885)Instructions burned: 1385 (million)
% 143.42/23.82 % (1711887)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=1168450795:i=1758:kws=inv_precedence:fsr=off:rtra=on_2821 on theBenchmark for (2821ds/1758Mi)
% 143.42/23.82 % (1711887)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 143.42/23.82 % (1711887)Instruction limit reached!
% 143.42/23.82 % (1711887)------------------------------
% 143.42/23.82 % (1711887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711887)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711887)Termination reason: Instruction limit
% 143.42/23.82 % (1711887)Termination phase: Saturation
% 143.42/23.82 % (1711887)Time elapsed: 0.851 s
% 143.42/23.82 % (1711887)Peak memory usage: 21 MB
% 143.42/23.82 % (1711887)Instructions burned: 1760 (million)
% 143.42/23.82 % (1711889)fmb+10_1_sil=64000:si=on:random_seed=3723491275:i=44122:nm=2:rtra=on:gsp=on_2813 on theBenchmark for (2813ds/44122Mi)
% 143.42/23.82 % (1711889)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711891)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2991891377:i=19030:nm=5:rtra=on_2812 on theBenchmark for (2812ds/19030Mi)
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711893)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=1939435099:fmbsr=1.7:i=1840:rtra=on_2812 on theBenchmark for (2812ds/1840Mi)
% 143.42/23.82 % Exception at run slice level
% 143.42/23.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 143.42/23.82 % (1711895)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=2088318011:i=10262:rtra=on_2811 on theBenchmark for (2811ds/10262Mi)
% 143.42/23.82 % (1711895)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 143.42/23.82 % (1711660) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1711649-1711660"...
% 143.42/23.82 % (1711660)...printing done.
% 143.42/23.82 % (1711660)Refutation found. Thanks to Tanya!
% 143.42/23.82 % SZS status Theorem for theBenchmark
% 143.42/23.82 % SZS output start Proof for theBenchmark
% See solution above
% 143.42/23.82 % (1711660)------------------------------
% 143.42/23.82 % (1711660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 143.42/23.82 % (1711660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.42/23.82 % (1711660)CaDiCaL version: 2.1.3
% 143.42/23.82 % (1711660)Termination reason: Refutation
% 143.42/23.82 % (1711660)Time elapsed: 23.535 s
% 143.42/23.82 % (1711660)Peak memory usage: 90 MB
% 143.42/23.82 % (1711660)Instructions burned: 52568 (million)
% 143.42/23.82 % (1711649)Success in time 23.586 s
% 143.42/23.82 % Vampire exiting
%------------------------------------------------------------------------------